TIMEOUT

The TRS could not be proven terminating. The proof attempt took 60020 ms.

The following DP Processors were used


Problem 1 was processed with processor DependencyGraph (39ms).
 | – Problem 2 was processed with processor ForwardNarrowing (2ms).
 |    | – Problem 3 was processed with processor ForwardNarrowing (1ms).
 |    |    | – Problem 4 was processed with processor ForwardNarrowing (4ms).
 |    |    |    | – Problem 5 was processed with processor ForwardNarrowing (4ms).
 |    |    |    |    | – Problem 6 was processed with processor ForwardNarrowing (3ms).
 |    |    |    |    |    | – Problem 7 was processed with processor ForwardNarrowing (9ms).
 |    |    |    |    |    |    | – Problem 8 was processed with processor ForwardNarrowing (7ms).
 |    |    |    |    |    |    |    | – Problem 9 was processed with processor ForwardNarrowing (5ms).
 |    |    |    |    |    |    |    |    | – Problem 10 was processed with processor ForwardNarrowing (3ms).
 |    |    |    |    |    |    |    |    |    | – Problem 11 was processed with processor ForwardNarrowing (7ms).
 |    |    |    |    |    |    |    |    |    |    | – Problem 12 was processed with processor ForwardNarrowing (5ms).
 |    |    |    |    |    |    |    |    |    |    |    | – Problem 13 was processed with processor ForwardNarrowing (10ms).
 |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 14 was processed with processor ForwardNarrowing (7ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 15 was processed with processor ForwardNarrowing (6ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 16 was processed with processor ForwardNarrowing (8ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 17 was processed with processor ForwardNarrowing (8ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 18 was processed with processor ForwardNarrowing (8ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 19 was processed with processor ForwardNarrowing (7ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 20 was processed with processor ForwardNarrowing (42ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 21 was processed with processor ForwardNarrowing (8ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 22 was processed with processor ForwardNarrowing (46ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 23 was processed with processor ForwardNarrowing (84ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 24 was processed with processor ForwardNarrowing (399ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 25 was processed with processor ForwardNarrowing (703ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 26 remains open; application of the following processors failed [ForwardNarrowing (697ms), ForwardNarrowing (706ms), ForwardNarrowing (297ms), ForwardNarrowing (218ms), ForwardNarrowing (251ms), ForwardNarrowing (162ms), ForwardNarrowing (324ms), ForwardNarrowing (145ms), ForwardNarrowing (369ms), ForwardNarrowing (155ms), ForwardNarrowing (333ms), ForwardNarrowing (322ms), ForwardNarrowing (417ms), ForwardNarrowing (233ms), ForwardNarrowing (464ms), ForwardNarrowing (331ms), ForwardNarrowing (234ms), ForwardNarrowing (331ms), ForwardNarrowing (170ms), ForwardNarrowing (339ms), ForwardNarrowing (537ms), ForwardNarrowing (195ms), ForwardNarrowing (629ms), ForwardNarrowing (310ms), ForwardNarrowing (351ms), ForwardNarrowing (365ms), ForwardNarrowing (515ms), ForwardNarrowing (629ms), ForwardNarrowing (550ms), ForwardNarrowing (637ms), ForwardNarrowing (594ms), ForwardNarrowing (793ms), ForwardNarrowing (308ms), ForwardNarrowing (320ms), ForwardNarrowing (532ms), ForwardNarrowing (538ms), ForwardNarrowing (679ms), ForwardNarrowing (562ms), ForwardNarrowing (timeout)].

The following open problems remain:

Open Dependency Pair Problem 2

Dependency Pairs

mark#(f(X1, X2, X3)) → mark#(X1)a__f#(a, b, X) → a__f#(mark(X), X, mark(X))
mark#(f(X1, X2, X3)) → mark#(X3)mark#(f(X1, X2, X3)) → a__f#(mark(X1), X2, mark(X3))
a__f#(a, b, X) → mark#(X)

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Problem 1: DependencyGraph

Dependency Pair Problem

Dependency Pairs

mark#(f(X1, X2, X3)) → mark#(X1)a__f#(a, b, X) → a__f#(mark(X), X, mark(X))
mark#(f(X1, X2, X3)) → mark#(X3)mark#(c) → a__c#
mark#(f(X1, X2, X3)) → a__f#(mark(X1), X2, mark(X3))a__f#(a, b, X) → mark#(X)

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The following SCCs where found

mark#(f(X1, X2, X3)) → mark#(X1)a__f#(a, b, X) → a__f#(mark(X), X, mark(X))
mark#(f(X1, X2, X3)) → mark#(X3)mark#(f(X1, X2, X3)) → a__f#(mark(X1), X2, mark(X3))
a__f#(a, b, X) → mark#(X)

Problem 2: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(X1, X2, X3)) → mark#(X1)a__f#(a, b, X) → a__f#(mark(X), X, mark(X))
mark#(f(X1, X2, X3)) → mark#(X3)mark#(f(X1, X2, X3)) → a__f#(mark(X1), X2, mark(X3))
a__f#(a, b, X) → mark#(X)

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(X1, X2, X3)) → a__f#(mark(X1), X2, mark(X3)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43))) 
a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3)) 
a__f#(a, X2, mark(X3)) 
a__f#(mark(X1), X2, b) 
a__f#(mark(X1), X2, a__c) 
a__f#(a__c, X2, mark(X3)) 
a__f#(mark(X1), X2, a) 
a__f#(b, X2, mark(X3)) 
Thus, the rule mark#(f(X1, X2, X3)) → a__f#(mark(X1), X2, mark(X3)) is replaced by the following rules:
mark#(f(b, X2, X3)) → a__f#(b, X2, mark(X3))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a__c)
mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))
mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a)
mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))

Problem 3: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(b, X2, X3)) → a__f#(b, X2, mark(X3))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a__c)
mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))mark#(f(X1, X2, X3)) → mark#(X1)
mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)
a__f#(a, b, X) → a__f#(mark(X), X, mark(X))mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a)
mark#(f(X1, X2, X3)) → mark#(X3)mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))
a__f#(a, b, X) → mark#(X)mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(b, X2, X3)) → a__f#(b, X2, mark(X3)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(b, X2, b) 
a__f#(b, X2, a__f(mark(_x41), _x42, mark(_x43))) 
a__f#(b, X2, a) 
a__f#(b, X2, a__c) 
Thus, the rule mark#(f(b, X2, X3)) → a__f#(b, X2, mark(X3)) is replaced by the following rules:
mark#(f(b, X2, f(_x41, _x42, _x43))) → a__f#(b, X2, a__f(mark(_x41), _x42, mark(_x43)))mark#(f(b, X2, b)) → a__f#(b, X2, b)
mark#(f(b, X2, a)) → a__f#(b, X2, a)mark#(f(b, X2, c)) → a__f#(b, X2, a__c)

Problem 4: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(b, X2, f(_x41, _x42, _x43))) → a__f#(b, X2, a__f(mark(_x41), _x42, mark(_x43)))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a__c)
mark#(f(X1, X2, X3)) → mark#(X1)mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)
mark#(f(b, X2, a)) → a__f#(b, X2, a)mark#(f(X1, X2, X3)) → mark#(X3)
a__f#(a, b, X) → mark#(X)mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))
mark#(f(b, X2, b)) → a__f#(b, X2, b)mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))
mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a)a__f#(a, b, X) → a__f#(mark(X), X, mark(X))
mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))
mark#(f(b, X2, c)) → a__f#(b, X2, a__c)

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(b, X2, f(_x41, _x42, _x43))) → a__f#(b, X2, a__f(mark(_x41), _x42, mark(_x43))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43))) 
a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83)))) 
a__f#(b, X2, a__f(a, _x42, mark(_x43))) 
a__f#(b, X2, a__f(mark(_x41), _x42, a__c)) 
a__f#(b, X2, a__f(a__c, _x42, mark(_x43))) 
a__f#(b, X2, f(mark(_x41), _x52, mark(_x43))) 
a__f#(b, X2, a__f(b, _x42, mark(_x43))) 
a__f#(b, X2, a__f(mark(_x41), _x42, b)) 
a__f#(b, X2, a__f(mark(_x41), _x42, a)) 
Thus, the rule mark#(f(b, X2, f(_x41, _x42, _x43))) → a__f#(b, X2, a__f(mark(_x41), _x42, mark(_x43))) is replaced by the following rules:
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__c))mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))
mark#(f(b, X2, f(b, _x42, _x43))) → a__f#(b, X2, a__f(b, _x42, mark(_x43)))mark#(f(b, X2, f(a, _x42, _x43))) → a__f#(b, X2, a__f(a, _x42, mark(_x43)))
mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a__c, _x42, mark(_x43)))mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))

Problem 5: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a__c)mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__c))
mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(X1, X2, X3)) → mark#(X1)
mark#(f(b, X2, f(b, _x42, _x43))) → a__f#(b, X2, a__f(b, _x42, mark(_x43)))mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)
mark#(f(b, X2, a)) → a__f#(b, X2, a)mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a__c, _x42, mark(_x43)))
mark#(f(X1, X2, X3)) → mark#(X3)mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))a__f#(a, b, X) → mark#(X)
mark#(f(b, X2, b)) → a__f#(b, X2, b)mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))
mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))a__f#(a, b, X) → a__f#(mark(X), X, mark(X))
mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a)mark#(f(b, X2, f(a, _x42, _x43))) → a__f#(b, X2, a__f(a, _x42, mark(_x43)))
mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))mark#(f(b, X2, c)) → a__f#(b, X2, a__c)
mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a__c) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(mark(X1), X2, c) 
a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c) 
a__f#(mark(X1), X2, b) 
a__f#(b, X2, a__c) 
a__f#(a, X2, a__c) 
a__f#(mark(X1), X2, a) 
a__f#(a__c, X2, a__c) 
Thus, the rule mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a__c) is replaced by the following rules:
mark#(f(a, X2, c)) → a__f#(a, X2, a__c)mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, c)
mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c)mark#(f(c, X2, c)) → a__f#(a__c, X2, a__c)
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a)mark#(f(b, X2, c)) → a__f#(b, X2, a__c)
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, b)

Problem 6: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__c))mark#(f(b, X2, f(b, _x42, _x43))) → a__f#(b, X2, a__f(b, _x42, mark(_x43)))
mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a)mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, b)
mark#(f(b, X2, b)) → a__f#(b, X2, b)a__f#(a, b, X) → a__f#(mark(X), X, mark(X))
mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a)mark#(f(b, X2, f(a, _x42, _x43))) → a__f#(b, X2, a__f(a, _x42, mark(_x43)))
mark#(f(c, X2, c)) → a__f#(a__c, X2, a__c)mark#(f(b, X2, c)) → a__f#(b, X2, a__c)
mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(X1, X2, X3)) → mark#(X1)mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))
mark#(f(b, X2, a)) → a__f#(b, X2, a)mark#(f(X1, X2, X3)) → mark#(X3)
mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a__c, _x42, mark(_x43)))mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))
a__f#(a, b, X) → mark#(X)mark#(f(a, X2, c)) → a__f#(a, X2, a__c)
mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, c)
mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c)
mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__c)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(b, X2, a__f(b, _x42, a__c)) 
a__f#(b, X2, a__f(mark(_x41), _x42, c)) 
a__f#(b, X2, a__f(a, _x42, a__c)) 
a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a__c)) 
a__f#(b, X2, a__f(a__c, _x42, a__c)) 
a__f#(b, X2, a__f(mark(_x41), _x42, b)) 
a__f#(b, X2, a__f(mark(_x41), _x42, a)) 
a__f#(b, X2, f(mark(_x41), _x52, a__c)) 
Thus, the rule mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__c)) is replaced by the following rules:
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, a__c))
mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a__c, _x42, a__c))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, c))mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, a__c))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, a__c))

Problem 7: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, a__c))
mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)mark#(f(b, X2, f(b, _x42, _x43))) → a__f#(b, X2, a__f(b, _x42, mark(_x43)))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, c))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a)mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, b)mark#(f(b, X2, b)) → a__f#(b, X2, b)
mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a)a__f#(a, b, X) → a__f#(mark(X), X, mark(X))
mark#(f(b, X2, f(a, _x42, _x43))) → a__f#(b, X2, a__f(a, _x42, mark(_x43)))mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, a__c))
mark#(f(c, X2, c)) → a__f#(a__c, X2, a__c)mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, a__c))
mark#(f(b, X2, c)) → a__f#(b, X2, a__c)mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))
mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a__c, _x42, a__c))
mark#(f(X1, X2, X3)) → mark#(X1)mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))mark#(f(b, X2, a)) → a__f#(b, X2, a)
mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a__c, _x42, mark(_x43)))mark#(f(X1, X2, X3)) → mark#(X3)
mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))a__f#(a, b, X) → mark#(X)
mark#(f(a, X2, c)) → a__f#(a, X2, a__c)mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, c)mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))
mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c)mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))
mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a__c)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, c)) 
a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a__c)) 
a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, a__c)) 
a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c)) 
a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, a__c)) 
a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, b)) 
a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, a__c)) 
a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, a__c)) 
a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, a__c)) 
a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a)) 
a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, a__c)) 
a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, a__c)) 
a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, a__c)) 
Thus, the rule mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a__c)) is replaced by the following rules:
mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, b))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, a__c))
mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, a__c))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a__c))mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, a__c))

Problem 8: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(b, _x42, _x43))) → a__f#(b, X2, a__f(b, _x42, mark(_x43)))mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)
mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, c))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a)mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, c))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, b)
mark#(f(b, X2, b)) → a__f#(b, X2, b)mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a__c))
mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a)a__f#(a, b, X) → a__f#(mark(X), X, mark(X))
mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(a, _x42, _x43))) → a__f#(b, X2, a__f(a, _x42, mark(_x43)))
mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, a__c))mark#(f(c, X2, c)) → a__f#(a__c, X2, a__c)
mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, a__c))mark#(f(b, X2, c)) → a__f#(b, X2, a__c)
mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, b))
mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a__c, _x42, a__c))mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))
mark#(f(X1, X2, X3)) → mark#(X1)mark#(f(b, X2, a)) → a__f#(b, X2, a)
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))mark#(f(X1, X2, X3)) → mark#(X3)
mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a__c, _x42, mark(_x43)))mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, a__c))
mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, a__c))
a__f#(a, b, X) → mark#(X)mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, a__c))
mark#(f(a, X2, c)) → a__f#(a, X2, a__c)mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, c)mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))
mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c)mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, a__c))mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))
mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, a__c)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c)) 
a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, a__c)) 
a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c)) 
a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, b)) 
a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a__c)) 
a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c)) 
a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, c)) 
a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a__c)) 
a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, a)) 
a__f#(b, X2, f(a__f(a__c, _x62, mark(_x63)), _x52, a__c)) 
a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c)) 
a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c)) 
Thus, the rule mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, a__c)) is replaced by the following rules:
mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, b))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, a))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))
mark#(f(b, X2, f(f(a, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, a__c))
mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, c))
mark#(f(b, X2, f(f(_x61, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c))

Problem 9: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(b, X2, f(b, _x42, _x43))) → a__f#(b, X2, a__f(b, _x42, mark(_x43)))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, c))
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, b)mark#(f(b, X2, f(f(_x61, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))a__f#(a, b, X) → a__f#(mark(X), X, mark(X))
mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a)mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a__c))
mark#(f(b, X2, f(a, _x42, _x43))) → a__f#(b, X2, a__f(a, _x42, mark(_x43)))mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c))
mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, a)) → a__f#(b, X2, a)mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, a__c))
mark#(f(a, X2, c)) → a__f#(a, X2, a__c)mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))
mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))
mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, a))
mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)mark#(f(b, X2, f(f(a, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, c))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a))
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a)mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))
mark#(f(b, X2, b)) → a__f#(b, X2, b)mark#(f(c, X2, c)) → a__f#(a__c, X2, a__c)
mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, c))
mark#(f(b, X2, c)) → a__f#(b, X2, a__c)mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, b))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, b))mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a__c, _x42, a__c))
mark#(f(X1, X2, X3)) → mark#(X1)mark#(f(X1, X2, X3)) → mark#(X3)
mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a__c, _x42, mark(_x43)))mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, a__c))
mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))a__f#(a, b, X) → mark#(X)
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, c)mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c)
mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(b, X2, f(b, _x42, _x43))) → a__f#(b, X2, a__f(b, _x42, mark(_x43))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(b, X2, a__f(b, _x42, a__c)) 
a__f#(b, X2, f(b, _x52, mark(_x43))) 
a__f#(b, X2, a__f(b, _x42, a)) 
a__f#(b, X2, a__f(b, _x42, b)) 
a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, mark(_x83)))) 
Thus, the rule mark#(f(b, X2, f(b, _x42, _x43))) → a__f#(b, X2, a__f(b, _x42, mark(_x43))) is replaced by the following rules:
mark#(f(b, X2, f(b, _x42, b))) → a__f#(b, X2, a__f(b, _x42, b))mark#(f(b, X2, f(b, _x42, a))) → a__f#(b, X2, a__f(b, _x42, a))
mark#(f(b, X2, f(b, _x52, _x43))) → a__f#(b, X2, f(b, _x52, mark(_x43)))mark#(f(b, X2, f(b, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, a__c))

Problem 10: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(b, X2, f(b, _x42, b))) → a__f#(b, X2, a__f(b, _x42, b))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, c))
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, b)mark#(f(b, X2, f(f(_x61, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))a__f#(a, b, X) → a__f#(mark(X), X, mark(X))
mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a)mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a__c))
mark#(f(b, X2, f(b, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, mark(_x83))))mark#(f(b, X2, f(a, _x42, _x43))) → a__f#(b, X2, a__f(a, _x42, mark(_x43)))
mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, a__c))
mark#(f(b, X2, f(f(_x61, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c))mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))
mark#(f(b, X2, a)) → a__f#(b, X2, a)mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, a__c))mark#(f(a, X2, c)) → a__f#(a, X2, a__c)
mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))
mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, a__c))
mark#(f(b, X2, f(b, _x42, a))) → a__f#(b, X2, a__f(b, _x42, a))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, a))
mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)mark#(f(b, X2, f(f(a, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, c))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a))
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a)mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))
mark#(f(b, X2, b)) → a__f#(b, X2, b)mark#(f(c, X2, c)) → a__f#(a__c, X2, a__c)
mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, c))
mark#(f(b, X2, c)) → a__f#(b, X2, a__c)mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, b))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, b))mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a__c, _x42, a__c))
mark#(f(X1, X2, X3)) → mark#(X1)mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, a__c))
mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a__c, _x42, mark(_x43)))mark#(f(X1, X2, X3)) → mark#(X3)
mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))a__f#(a, b, X) → mark#(X)
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, c)mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c)
mark#(f(b, X2, f(b, _x52, _x43))) → a__f#(b, X2, f(b, _x52, mark(_x43)))mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))
mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(b, X2, f(b, _x42, b))) → a__f#(b, X2, a__f(b, _x42, b)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(b, X2, f(b, _x52, b)) 
Thus, the rule mark#(f(b, X2, f(b, _x42, b))) → a__f#(b, X2, a__f(b, _x42, b)) is replaced by the following rules:
mark#(f(b, X2, f(b, _x52, b))) → a__f#(b, X2, f(b, _x52, b))

Problem 11: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, c))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, b)
mark#(f(b, X2, f(f(_x61, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))
a__f#(a, b, X) → a__f#(mark(X), X, mark(X))mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a)
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a__c))mark#(f(b, X2, f(b, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(a, _x42, _x43))) → a__f#(b, X2, a__f(a, _x42, mark(_x43)))mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c))
mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, a)) → a__f#(b, X2, a)mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, a__c))
mark#(f(a, X2, c)) → a__f#(a, X2, a__c)mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))
mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))
mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, a__c))mark#(f(b, X2, f(b, _x42, a))) → a__f#(b, X2, a__f(b, _x42, a))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, a))mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)
mark#(f(b, X2, f(f(a, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, c))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a)
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))mark#(f(b, X2, b)) → a__f#(b, X2, b)
mark#(f(c, X2, c)) → a__f#(a__c, X2, a__c)mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, a__c))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, c))mark#(f(b, X2, c)) → a__f#(b, X2, a__c)
mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, b))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, b))
mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a__c, _x42, a__c))mark#(f(X1, X2, X3)) → mark#(X1)
mark#(f(X1, X2, X3)) → mark#(X3)mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a__c, _x42, mark(_x43)))
mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, a__c))mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))
a__f#(a, b, X) → mark#(X)mark#(f(b, X2, f(b, _x52, b))) → a__f#(b, X2, f(b, _x52, b))
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, c)mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c)
mark#(f(b, X2, f(b, _x52, _x43))) → a__f#(b, X2, f(b, _x52, mark(_x43)))mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))
mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, c)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, c)) 
a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, c)) 
a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, c)) 
a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, c)) 
a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, c)) 
a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, c)) 
a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, c)) 
a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, c)) 
a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, c)) 
a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, c)) 
Thus, the rule mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, c)) is replaced by the following rules:
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, c))mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, c))
mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, c))
mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, c))
mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, c))

Problem 12: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, b)mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))
a__f#(a, b, X) → a__f#(mark(X), X, mark(X))mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a)
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a__c))mark#(f(b, X2, f(b, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(a, _x42, _x43))) → a__f#(b, X2, a__f(a, _x42, mark(_x43)))mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c))
mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))mark#(f(b, X2, a)) → a__f#(b, X2, a)
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, c))
mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, a__c))mark#(f(a, X2, c)) → a__f#(a, X2, a__c)
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, c))mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))
mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))
mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, a__c))mark#(f(b, X2, f(b, _x42, a))) → a__f#(b, X2, a__f(b, _x42, a))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, a))mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)
mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(a, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, c))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a))
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a)mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))
mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, c))mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, b)) → a__f#(b, X2, b)mark#(f(c, X2, c)) → a__f#(a__c, X2, a__c)
mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, c))
mark#(f(b, X2, c)) → a__f#(b, X2, a__c)mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))
mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, b))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, b))mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a__c, _x42, a__c))
mark#(f(X1, X2, X3)) → mark#(X1)mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, a__c))
mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a__c, _x42, mark(_x43)))mark#(f(X1, X2, X3)) → mark#(X3)
mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))a__f#(a, b, X) → mark#(X)
mark#(f(b, X2, f(b, _x52, b))) → a__f#(b, X2, f(b, _x52, b))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, c)
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, c))mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c)
mark#(f(b, X2, f(b, _x52, _x43))) → a__f#(b, X2, f(b, _x52, mark(_x43)))mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))
mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, b) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, b) 
a__f#(b, X2, b) 
a__f#(a__c, X2, b) 
a__f#(a, X2, b) 
Thus, the rule mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, b) is replaced by the following rules:
mark#(f(b, X2, c)) → a__f#(b, X2, b)mark#(f(c, X2, c)) → a__f#(a__c, X2, b)
mark#(f(a, X2, c)) → a__f#(a, X2, b)mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, b)

Problem 13: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, c))mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, b)
mark#(f(b, X2, f(f(_x61, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))
a__f#(a, b, X) → a__f#(mark(X), X, mark(X))mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a)
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a__c))mark#(f(b, X2, f(b, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(a, _x42, _x43))) → a__f#(b, X2, a__f(a, _x42, mark(_x43)))mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c))
mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, a)) → a__f#(b, X2, a)mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, c))
mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, c)) → a__f#(b, X2, b)
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, c))mark#(f(a, X2, c)) → a__f#(a, X2, a__c)
mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))
mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, a__c))
mark#(f(b, X2, f(b, _x42, a))) → a__f#(b, X2, a__f(b, _x42, a))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, a))
mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(a, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, c))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a)
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, c))
mark#(f(c, X2, c)) → a__f#(a__c, X2, b)mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, b)) → a__f#(b, X2, b)mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, a__c))
mark#(f(c, X2, c)) → a__f#(a__c, X2, a__c)mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, c))
mark#(f(b, X2, c)) → a__f#(b, X2, a__c)mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, b))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, b))mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a__c, _x42, a__c))
mark#(f(X1, X2, X3)) → mark#(X1)mark#(f(X1, X2, X3)) → mark#(X3)
mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a__c, _x42, mark(_x43)))mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, a__c))
mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))a__f#(a, b, X) → mark#(X)
mark#(f(b, X2, f(b, _x52, b))) → a__f#(b, X2, f(b, _x52, b))mark#(f(a, X2, c)) → a__f#(a, X2, b)
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, c))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, c)
mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c)mark#(f(b, X2, f(b, _x52, _x43))) → a__f#(b, X2, f(b, _x52, mark(_x43)))
mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, c)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(b, X2, a__f(f(b, _x72, mark(_x63)), _x42, c)) 
a__f#(b, X2, a__f(f(a__c, _x72, mark(_x63)), _x42, c)) 
a__f#(b, X2, a__f(f(a, _x72, mark(_x63)), _x42, c)) 
a__f#(b, X2, a__f(f(mark(_x61), _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c)) 
a__f#(b, X2, a__f(f(mark(_x61), _x72, a), _x42, c)) 
a__f#(b, X2, f(f(mark(_x61), _x72, mark(_x63)), _x52, c)) 
a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, mark(_x63)), _x42, c)) 
a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, c)) 
a__f#(b, X2, a__f(f(mark(_x61), _x72, a__c), _x42, c)) 
Thus, the rule mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, c)) is replaced by the following rules:
mark#(f(b, X2, f(f(b, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, mark(_x63)), _x52, c))mark#(f(b, X2, f(f(a, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, c))

Problem 14: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a__c), _x42, c))mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, b)
mark#(f(b, X2, f(f(_x61, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))
a__f#(a, b, X) → a__f#(mark(X), X, mark(X))mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a)
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a__c))mark#(f(b, X2, f(b, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(a, _x42, _x43))) → a__f#(b, X2, a__f(a, _x42, mark(_x43)))mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c))
mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(b, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))
mark#(f(b, X2, a)) → a__f#(b, X2, a)mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, a__c))
mark#(f(b, X2, f(f(c, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, c))
mark#(f(b, X2, c)) → a__f#(b, X2, b)mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, c))mark#(f(a, X2, c)) → a__f#(a, X2, a__c)
mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))
mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, a__c))
mark#(f(b, X2, f(b, _x42, a))) → a__f#(b, X2, a__f(b, _x42, a))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, a))
mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(a, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))
mark#(f(b, X2, f(f(_x61, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, mark(_x63)), _x52, c))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, c))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(b, X2, f(f(a, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a)
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a), _x42, c))mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, c))
mark#(f(c, X2, c)) → a__f#(a__c, X2, b)mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, b)) → a__f#(b, X2, b)mark#(f(c, X2, c)) → a__f#(a__c, X2, a__c)
mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, c))
mark#(f(b, X2, c)) → a__f#(b, X2, a__c)mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))
mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, b))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, b))mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a__c, _x42, a__c))
mark#(f(X1, X2, X3)) → mark#(X1)mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, a__c))
mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a__c, _x42, mark(_x43)))mark#(f(X1, X2, X3)) → mark#(X3)
mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))a__f#(a, b, X) → mark#(X)
mark#(f(b, X2, f(b, _x52, b))) → a__f#(b, X2, f(b, _x52, b))mark#(f(a, X2, c)) → a__f#(a, X2, b)
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, c)mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, c))
mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c)mark#(f(b, X2, f(b, _x52, _x43))) → a__f#(b, X2, f(b, _x52, mark(_x43)))
mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a__c), _x42, c)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a__c), _x42, c)) 
a__f#(b, X2, a__f(f(a__c, _x72, a__c), _x42, c)) 
a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c)) 
a__f#(b, X2, a__f(f(mark(_x61), _x72, a), _x42, c)) 
a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, c)) 
a__f#(b, X2, a__f(f(mark(_x61), _x72, c), _x42, c)) 
a__f#(b, X2, f(f(mark(_x61), _x72, a__c), _x52, c)) 
a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c)) 
Thus, the rule mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a__c), _x42, c)) is replaced by the following rules:
mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, c))mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a), _x42, c))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, c), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, a__c), _x52, c))

Problem 15: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a), _x42, c))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a__c), _x42, c))mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, b)
mark#(f(b, X2, f(f(_x61, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))
a__f#(a, b, X) → a__f#(mark(X), X, mark(X))mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a)
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a__c))mark#(f(b, X2, f(b, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(a, _x42, _x43))) → a__f#(b, X2, a__f(a, _x42, mark(_x43)))mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c))
mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(b, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, a)) → a__f#(b, X2, a)
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, c), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, a__c))mark#(f(b, X2, f(f(c, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, c))mark#(f(b, X2, c)) → a__f#(b, X2, b)
mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, c))
mark#(f(a, X2, c)) → a__f#(a, X2, a__c)mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))
mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, a__c), _x52, c))mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, a__c))
mark#(f(b, X2, f(b, _x42, a))) → a__f#(b, X2, a__f(b, _x42, a))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, a))
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a__c), _x42, c))mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)
mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(a, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, mark(_x63)), _x52, c))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, c))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))
mark#(f(b, X2, f(f(a, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a)mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a))
mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a), _x42, c))
mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, c))mark#(f(c, X2, c)) → a__f#(a__c, X2, b)
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, c))mark#(f(b, X2, b)) → a__f#(b, X2, b)
mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c))mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, a__c))
mark#(f(c, X2, c)) → a__f#(a__c, X2, a__c)mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, c))
mark#(f(b, X2, c)) → a__f#(b, X2, a__c)mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, b))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, b))mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a__c, _x42, a__c))
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, mark(_x63)), _x42, c))mark#(f(X1, X2, X3)) → mark#(X1)
mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c))
mark#(f(X1, X2, X3)) → mark#(X3)mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a__c, _x42, mark(_x43)))
mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, a__c))mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))
a__f#(a, b, X) → mark#(X)mark#(f(b, X2, f(b, _x52, b))) → a__f#(b, X2, f(b, _x52, b))
mark#(f(a, X2, c)) → a__f#(a, X2, b)mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, c))
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, c)mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c)
mark#(f(b, X2, f(b, _x52, _x43))) → a__f#(b, X2, f(b, _x52, mark(_x43)))mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))
mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, c)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(b, X2, a__f(f(b, _x72, b), _x42, c)) 
a__f#(b, X2, f(f(mark(_x61), _x72, b), _x52, c)) 
a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, c)) 
a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, b), _x42, c)) 
a__f#(b, X2, a__f(f(a, _x72, b), _x42, c)) 
Thus, the rule mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, c)) is replaced by the following rules:
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, c))mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, c))
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, b), _x42, c))mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, b), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, b), _x52, c))

Problem 16: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a), _x42, c))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, b), _x42, c))mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, b)
mark#(f(b, X2, f(f(_x61, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))
a__f#(a, b, X) → a__f#(mark(X), X, mark(X))mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a)
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a__c))mark#(f(b, X2, f(b, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(a, _x42, _x43))) → a__f#(b, X2, a__f(a, _x42, mark(_x43)))mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c))
mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(b, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))
mark#(f(b, X2, a)) → a__f#(b, X2, a)mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, c), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, a__c))mark#(f(b, X2, f(f(c, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, b), _x52, c))
mark#(f(b, X2, c)) → a__f#(b, X2, b)mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, c))mark#(f(a, X2, c)) → a__f#(a, X2, a__c)
mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))
mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, c))mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, b), _x42, c))mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, a__c), _x52, c))
mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, a__c))mark#(f(b, X2, f(b, _x42, a))) → a__f#(b, X2, a__f(b, _x42, a))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, a))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a__c), _x42, c))
mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(a, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, mark(_x63)), _x52, c))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(b, X2, f(f(a, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a)
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a), _x42, c))mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, c))
mark#(f(c, X2, c)) → a__f#(a__c, X2, b)mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, b)) → a__f#(b, X2, b)mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c))
mark#(f(c, X2, c)) → a__f#(a__c, X2, a__c)mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, a__c))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, c))mark#(f(b, X2, c)) → a__f#(b, X2, a__c)
mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, b))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, b))
mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a__c, _x42, a__c))mark#(f(X1, X2, X3)) → mark#(X1)
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, a__c))
mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a__c, _x42, mark(_x43)))mark#(f(X1, X2, X3)) → mark#(X3)
mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))a__f#(a, b, X) → mark#(X)
mark#(f(b, X2, f(b, _x52, b))) → a__f#(b, X2, f(b, _x52, b))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, c))
mark#(f(a, X2, c)) → a__f#(a, X2, b)mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, c)
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, c))mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c)
mark#(f(b, X2, f(b, _x52, _x43))) → a__f#(b, X2, f(b, _x52, mark(_x43)))mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))
mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a), _x42, c)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(b, X2, f(f(mark(_x61), _x72, a), _x52, c)) 
a__f#(b, X2, a__f(f(b, _x72, a), _x42, c)) 
a__f#(b, X2, a__f(f(a__c, _x72, a), _x42, c)) 
a__f#(b, X2, a__f(f(a, _x72, a), _x42, c)) 
a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a), _x42, c)) 
Thus, the rule mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a), _x42, c)) is replaced by the following rules:
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a), _x42, c))mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, a), _x52, c))mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a), _x42, c))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a), _x42, c))

Problem 17: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, b), _x42, c))
mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, b)mark#(f(b, X2, f(f(_x61, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))
a__f#(a, b, X) → a__f#(mark(X), X, mark(X))mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a)
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a__c))mark#(f(b, X2, f(b, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(a, _x42, _x43))) → a__f#(b, X2, a__f(a, _x42, mark(_x43)))mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c))
mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(b, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, a)) → a__f#(b, X2, a)
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, c), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, a__c))mark#(f(b, X2, f(f(c, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, b), _x52, c))mark#(f(b, X2, c)) → a__f#(b, X2, b)
mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, c))
mark#(f(a, X2, c)) → a__f#(a, X2, a__c)mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))
mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, c))
mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, b), _x42, c))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, a), _x52, c))
mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, a__c), _x52, c))
mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, a__c))mark#(f(b, X2, f(b, _x42, a))) → a__f#(b, X2, a__f(b, _x42, a))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, a))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a__c), _x42, c))
mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))mark#(f(b, X2, f(f(a, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, mark(_x63)), _x52, c))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, c))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(b, X2, f(f(a, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a)
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a))mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a), _x42, c))mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, c))
mark#(f(c, X2, c)) → a__f#(a__c, X2, b)mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a), _x42, c))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, c))mark#(f(b, X2, b)) → a__f#(b, X2, b)
mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c))mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, a__c))
mark#(f(c, X2, c)) → a__f#(a__c, X2, a__c)mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, c))
mark#(f(b, X2, c)) → a__f#(b, X2, a__c)mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, b))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, b))mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a__c, _x42, a__c))
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, mark(_x63)), _x42, c))mark#(f(X1, X2, X3)) → mark#(X1)
mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c))
mark#(f(X1, X2, X3)) → mark#(X3)mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a__c, _x42, mark(_x43)))
mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, a__c))mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))
a__f#(a, b, X) → mark#(X)mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, c))
mark#(f(b, X2, f(b, _x52, b))) → a__f#(b, X2, f(b, _x52, b))mark#(f(a, X2, c)) → a__f#(a, X2, b)
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, c))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, c)
mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c)mark#(f(b, X2, f(b, _x52, _x43))) → a__f#(b, X2, f(b, _x52, mark(_x43)))
mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a), _x42, c))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a__c), _x42, c)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(b, X2, a__f(f(a__c, _x72, a), _x42, c)) 
a__f#(b, X2, a__f(f(a__c, _x72, c), _x42, c)) 
a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c)) 
a__f#(b, X2, f(f(a__c, _x72, a__c), _x52, c)) 
a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, c)) 
a__f#(b, X2, a__f(f(c, _x72, a__c), _x42, c)) 
a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c)) 
Thus, the rule mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a__c), _x42, c)) is replaced by the following rules:
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, c))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(c, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(c, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x72, a__c), _x52, c))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a), _x42, c))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, c), _x42, c))

Problem 18: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, b), _x42, c))mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a), _x42, c))
a__f#(a, b, X) → a__f#(mark(X), X, mark(X))mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a)
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a__c))mark#(f(b, X2, f(b, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(a, _x42, _x43))) → a__f#(b, X2, a__f(a, _x42, mark(_x43)))mark#(f(b, X2, f(f(b, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, a)) → a__f#(b, X2, a)
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, c), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, a__c))mark#(f(b, X2, f(f(c, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, c), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, c))mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))
mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, c))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, b), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, a__c))mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, a), _x52, c))mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, a__c))
mark#(f(b, X2, f(b, _x42, a))) → a__f#(b, X2, a__f(b, _x42, a))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, a))
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a__c), _x42, c))mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)
mark#(f(b, X2, f(f(_x61, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, mark(_x63)), _x52, c))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a)
mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, c))mark#(f(c, X2, c)) → a__f#(a__c, X2, b)
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a), _x42, c))mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, b)) → a__f#(b, X2, b)mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, a__c))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, c))mark#(f(b, X2, c)) → a__f#(b, X2, a__c)
mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))
mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a__c, _x42, a__c))mark#(f(X1, X2, X3)) → mark#(X1)
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c))mark#(f(X1, X2, X3)) → mark#(X3)
mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a__c, _x42, mark(_x43)))mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, a__c))
mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))a__f#(a, b, X) → mark#(X)
mark#(f(b, X2, f(b, _x52, b))) → a__f#(b, X2, f(b, _x52, b))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, c)
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a), _x42, c))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(c, _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(_x61, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a__c))mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, b)
mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c))
mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, b), _x52, c))mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, c)) → a__f#(b, X2, b)mark#(f(a, X2, c)) → a__f#(a, X2, a__c)
mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, a__c), _x52, c))mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(a, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, c))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))
mark#(f(b, X2, f(f(a, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))mark#(f(b, X2, f(f(_x61, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, c))mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c))
mark#(f(c, X2, c)) → a__f#(a__c, X2, a__c)mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, b))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, b))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, c))mark#(f(a, X2, c)) → a__f#(a, X2, b)
mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c)mark#(f(b, X2, f(b, _x52, _x43))) → a__f#(b, X2, f(b, _x52, mark(_x43)))
mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))
mark#(f(b, X2, f(f(c, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x72, a__c), _x52, c))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, b), _x42, c)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(b, X2, f(f(b, _x72, b), _x52, c)) 
Thus, the rule mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, b), _x42, c)) is replaced by the following rules:
mark#(f(b, X2, f(f(b, _x72, c), _x52, c))) → a__f#(b, X2, f(f(b, _x72, b), _x52, c))

Problem 19: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a__c))mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a)
a__f#(a, b, X) → a__f#(mark(X), X, mark(X))mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a), _x42, c))
mark#(f(b, X2, f(a, _x42, _x43))) → a__f#(b, X2, a__f(a, _x42, mark(_x43)))mark#(f(b, X2, f(b, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(f(b, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))mark#(f(b, X2, a)) → a__f#(b, X2, a)
mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, c), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, a__c))
mark#(f(b, X2, f(f(c, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, c), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, c))
mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, c))
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, b), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, a__c))
mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, a), _x52, c))
mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, a__c))mark#(f(b, X2, f(b, _x42, a))) → a__f#(b, X2, a__f(b, _x42, a))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, a))mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a__c), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, mark(_x63)), _x52, c))
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a)mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, c))
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a), _x42, c))mark#(f(c, X2, c)) → a__f#(a__c, X2, b)
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, c))mark#(f(b, X2, b)) → a__f#(b, X2, b)
mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, c))
mark#(f(b, X2, c)) → a__f#(b, X2, a__c)mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))
mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a__c, _x42, a__c))
mark#(f(X1, X2, X3)) → mark#(X1)mark#(f(b, X2, f(f(b, _x72, c), _x52, c))) → a__f#(b, X2, f(f(b, _x72, b), _x52, c))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, a__c))
mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a__c, _x42, mark(_x43)))mark#(f(X1, X2, X3)) → mark#(X3)
mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))a__f#(a, b, X) → mark#(X)
mark#(f(b, X2, f(b, _x52, b))) → a__f#(b, X2, f(b, _x52, b))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, c)
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a), _x42, c))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(c, _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(_x61, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a__c))mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, b)
mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c))
mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, b), _x52, c))mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, c)) → a__f#(b, X2, b)mark#(f(a, X2, c)) → a__f#(a, X2, a__c)
mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, a__c), _x52, c))mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(a, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, c))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))
mark#(f(b, X2, f(f(a, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))mark#(f(b, X2, f(f(_x61, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, c))mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c))
mark#(f(c, X2, c)) → a__f#(a__c, X2, a__c)mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, b))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, b))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, c))mark#(f(a, X2, c)) → a__f#(a, X2, b)
mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c)mark#(f(b, X2, f(b, _x52, _x43))) → a__f#(b, X2, f(b, _x52, mark(_x43)))
mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))mark#(f(b, X2, f(f(c, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x72, a__c), _x52, c))
mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a), _x42, c)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(b, X2, f(f(b, _x72, a), _x52, c)) 
Thus, the rule mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a), _x42, c)) is replaced by the following rules:
mark#(f(b, X2, f(f(b, _x72, c), _x52, c))) → a__f#(b, X2, f(f(b, _x72, a), _x52, c))

Problem 20: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

a__f#(a, b, X) → a__f#(mark(X), X, mark(X))mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a)
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a__c))mark#(f(b, X2, f(b, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(a, _x42, _x43))) → a__f#(b, X2, a__f(a, _x42, mark(_x43)))mark#(f(b, X2, f(f(b, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, a)) → a__f#(b, X2, a)
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, c), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, a__c))mark#(f(b, X2, f(f(c, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, c), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, c))mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))
mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, c))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, b), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, a__c))mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, a), _x52, c))mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, a__c))
mark#(f(b, X2, f(b, _x42, a))) → a__f#(b, X2, a__f(b, _x42, a))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, a))
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a__c), _x42, c))mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)
mark#(f(b, X2, f(f(_x61, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, mark(_x63)), _x52, c))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a)
mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, c))mark#(f(c, X2, c)) → a__f#(a__c, X2, b)
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a), _x42, c))mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, b)) → a__f#(b, X2, b)mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, a__c))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, c))mark#(f(b, X2, c)) → a__f#(b, X2, a__c)
mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))
mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a__c, _x42, a__c))mark#(f(X1, X2, X3)) → mark#(X1)
mark#(f(b, X2, f(f(b, _x72, c), _x52, c))) → a__f#(b, X2, f(f(b, _x72, b), _x52, c))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c))
mark#(f(X1, X2, X3)) → mark#(X3)mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a__c, _x42, mark(_x43)))
mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, a__c))mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))
a__f#(a, b, X) → mark#(X)mark#(f(b, X2, f(b, _x52, b))) → a__f#(b, X2, f(b, _x52, b))
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, c)mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, c))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a), _x42, c))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(c, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(_x61, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a__c))
mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, b)mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))
mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, a__c))
mark#(f(b, X2, f(f(_x61, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c))mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))
mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, b), _x52, c))
mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, c)) → a__f#(b, X2, b)
mark#(f(b, X2, f(f(b, _x72, c), _x52, c))) → a__f#(b, X2, f(f(b, _x72, a), _x52, c))mark#(f(a, X2, c)) → a__f#(a, X2, a__c)
mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, a__c), _x52, c))mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(a, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, c))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))
mark#(f(b, X2, f(f(a, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))mark#(f(b, X2, f(f(_x61, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, c))mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c))
mark#(f(c, X2, c)) → a__f#(a__c, X2, a__c)mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, b))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, b))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, c))mark#(f(a, X2, c)) → a__f#(a, X2, b)
mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c)mark#(f(b, X2, f(b, _x52, _x43))) → a__f#(b, X2, f(b, _x52, mark(_x43)))
mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))
mark#(f(b, X2, f(f(c, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x72, a__c), _x52, c))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a__c)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a)) 
a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, b), _x42, a__c)) 
a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, b)) 
a__f#(b, X2, a__f(a__f(a__c, _x62, b), _x42, a__c)) 
a__f#(b, X2, a__f(a__f(b, _x62, b), _x42, a__c)) 
a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, a__c)) 
a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, c)) 
a__f#(b, X2, a__f(a__f(a, _x62, b), _x42, a__c)) 
a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c)) 
Thus, the rule mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a__c)) is replaced by the following rules:
mark#(f(b, X2, f(f(a, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, b), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, b))
mark#(f(b, X2, f(f(_x61, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))mark#(f(b, X2, f(f(b, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, b), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, b), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, b), _x42, a__c))

Problem 21: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a)a__f#(a, b, X) → a__f#(mark(X), X, mark(X))
mark#(f(b, X2, f(a, _x42, _x43))) → a__f#(b, X2, a__f(a, _x42, mark(_x43)))mark#(f(b, X2, f(b, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(f(b, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))mark#(f(b, X2, a)) → a__f#(b, X2, a)
mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, c), _x42, c))mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, b), _x42, a__c))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, a__c))mark#(f(b, X2, f(f(c, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, c), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, c))
mark#(f(b, X2, f(f(a, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, b), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, c))
mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, c))
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, b), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, a__c))
mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, a), _x52, c))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, b), _x42, a__c))mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, a))mark#(f(b, X2, f(b, _x42, a))) → a__f#(b, X2, a__f(b, _x42, a))
mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, mark(_x63)), _x52, c))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a)
mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, c))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a), _x42, c))
mark#(f(c, X2, c)) → a__f#(a__c, X2, b)mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, b)) → a__f#(b, X2, b)mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, a__c))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, c))mark#(f(b, X2, c)) → a__f#(b, X2, a__c)
mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a__c, _x42, a__c))mark#(f(X1, X2, X3)) → mark#(X1)
mark#(f(b, X2, f(f(b, _x72, c), _x52, c))) → a__f#(b, X2, f(f(b, _x72, b), _x52, c))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, a__c))mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a__c, _x42, mark(_x43)))
mark#(f(X1, X2, X3)) → mark#(X3)mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))
a__f#(a, b, X) → mark#(X)mark#(f(b, X2, f(b, _x52, b))) → a__f#(b, X2, f(b, _x52, b))
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, c)mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, c))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, a__c))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(c, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(_x61, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a__c))
mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, b)mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))
mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, a__c))
mark#(f(b, X2, f(f(_x61, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c))mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))
mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, b), _x52, c))
mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, c)) → a__f#(b, X2, b)
mark#(f(b, X2, f(f(b, _x72, c), _x52, c))) → a__f#(b, X2, f(f(b, _x72, a), _x52, c))mark#(f(a, X2, c)) → a__f#(a, X2, a__c)
mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, a__c), _x52, c))mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(a, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))
mark#(f(b, X2, f(f(b, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, b), _x42, a__c))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, c))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(b, X2, f(f(a, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))
mark#(f(b, X2, f(f(_x61, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, c))
mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c))mark#(f(c, X2, c)) → a__f#(a__c, X2, a__c)
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, b))mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, b))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, b))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, c))mark#(f(a, X2, c)) → a__f#(a, X2, b)
mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c)mark#(f(b, X2, f(b, _x52, _x43))) → a__f#(b, X2, f(b, _x52, mark(_x43)))
mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))mark#(f(b, X2, f(f(c, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x72, a__c), _x52, c))
mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(b, X2, a) 
a__f#(a, X2, a) 
a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a) 
a__f#(a__c, X2, a) 
Thus, the rule mark#(f(X1, X2, a)) → a__f#(mark(X1), X2, a) is replaced by the following rules:
mark#(f(f(_x21, _x22, _x23), X2, a)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a)mark#(f(a, X2, a)) → a__f#(a, X2, a)
mark#(f(b, X2, a)) → a__f#(b, X2, a)mark#(f(c, X2, a)) → a__f#(a__c, X2, a)

Problem 22: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a), _x52, b))mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, b), _x52, b))
mark#(f(b, X2, f(b, _x42, f(b, _x92, _x83)))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, mark(_x83))))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, c), _x42, c))
mark#(f(b, X2, f(f(a, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, b), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, c))
mark#(f(b, X2, f(b, _x42, f(_x81, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, a__c)))mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, a), _x52, c))mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(b, _x52, mark(_x63)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, a__c))mark#(f(b, X2, f(b, _x42, f(c, _x92, a)))) → a__f#(b, X2, a__f(b, _x42, f(a, _x92, a)))
mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, b), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a))mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__c), _x52, b))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a)
mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, c))mark#(f(c, X2, c)) → a__f#(a__c, X2, b)
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(b, _x42, f(b, _x82, b)))) → a__f#(b, X2, a__f(b, _x42, a__f(b, _x82, b)))
mark#(f(b, X2, b)) → a__f#(b, X2, b)mark#(f(b, X2, f(b, _x52, f(b, _x72, _x83)))) → a__f#(b, X2, f(b, _x52, f(b, _x72, mark(_x83))))
mark#(f(b, X2, f(b, _x52, f(b, _x82, f(_x101, _x102, _x103))))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, a__f(mark(_x101), _x102, mark(_x103)))))mark#(f(b, X2, f(b, _x42, f(a, _x92, a)))) → a__f#(b, X2, a__f(b, _x42, f(a, _x92, a)))
mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a), _x52, a))mark#(f(b, X2, f(a, b, _x43))) → a__f#(b, X2, a__f(mark(mark(_x43)), mark(_x43), mark(mark(_x43))))
mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a), _x52, b))mark#(f(b, X2, f(f(a, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a, _x72, c), _x52, c))
mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a__c, _x42, mark(_x43)))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, mark(_x63)), _x52, c))mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, c))
mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, b))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a), _x42, c))
mark#(f(b, X2, f(b, _x42, f(c, _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, mark(_x83))))mark#(f(b, X2, f(f(_x61, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, a__c))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, c), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, b), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))mark#(f(b, X2, f(b, _x42, f(a, _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(a, _x82, mark(_x83))))
mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, a__c))
mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, mark(_x63)), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c))
mark#(f(b, X2, f(b, _x42, f(a, _x82, a)))) → a__f#(b, X2, a__f(b, _x42, a__f(a, _x82, a)))mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(a, _x52, _x43))) → a__f#(b, X2, f(a, _x52, mark(_x43)))
mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(b, X2, f(f(a, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, a__c), _x42, a__c))
mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a), _x42, c))mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, b))
mark#(f(b, X2, f(b, _x42, f(_x81, _x82, f(_x121, _x122, _x123))))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, a__f(mark(_x121), _x122, mark(_x123)))))mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, b), _x52, c))
mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a), _x52, a))mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, b), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__c), _x52, a))mark#(f(a, X2, c)) → a__f#(a, X2, a__c)
mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, b), _x52, a))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, a__c), _x52, c))
mark#(f(b, X2, f(f(c, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c))mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, b), _x52, a))
mark#(f(b, X2, f(f(b, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, b), _x42, c))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, c), _x42, c))
mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(b, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(b, _x72, mark(_x63)), _x52, c))
mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, c))
mark#(f(b, X2, f(f(b, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, b), _x42, a__c))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))
mark#(f(b, X2, f(f(a, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))mark#(f(b, X2, f(a, _x42, b))) → a__f#(b, X2, a__f(a, _x42, b))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, c), _x52, b))mark#(f(b, X2, f(f(_x61, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a), _x42, c))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, a__c), _x52, b))mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, b), _x52, b))
mark#(f(b, X2, f(c, _x52, c))) → a__f#(b, X2, f(b, _x52, b))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c))mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, c), _x52, c))
mark#(f(b, X2, f(b, _x52, f(b, _x82, c)))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, a)))mark#(f(b, X2, f(b, _x52, f(b, _x92, a)))) → a__f#(b, X2, f(b, _x52, f(b, _x92, a)))
mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a, _x42, b))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, c))
mark#(f(a, X2, c)) → a__f#(a, X2, b)mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, b))mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c)
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__c), _x52, a))mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))
mark#(f(b, X2, f(f(c, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, a__c), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, a))
mark#(f(b, X2, f(f(c, _x52, a), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, a), _x52, a))a__f#(a, b, X) → a__f#(mark(X), X, mark(X))
mark#(f(b, X2, f(f(c, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(a__c, _x72, mark(_x63)), _x52, c))mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a__c))mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, b), _x42, c))mark#(f(b, X2, f(b, _x42, f(c, _x92, a)))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a)))
mark#(f(c, X2, a)) → a__f#(a__c, X2, a)mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(b, _x42, f(f(_x111, _x112, _x113), _x92, a)))) → a__f#(b, X2, a__f(b, _x42, f(a__f(mark(_x111), _x112, mark(_x113)), _x92, a)))mark#(f(b, X2, f(a, _x42, a))) → a__f#(b, X2, a__f(a, _x42, a))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, b), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, a__c))mark#(f(b, X2, f(b, _x42, a))) → a__f#(b, X2, a__f(b, _x42, a))
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__c), _x52, b))
mark#(f(b, X2, f(f(_x61, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, mark(_x63)), _x52, c))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a), _x42, c))
mark#(f(b, X2, f(b, _x42, f(c, _x92, a)))) → a__f#(b, X2, a__f(b, _x42, f(c, _x92, a)))mark#(f(b, X2, f(f(b, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c))
mark#(f(b, X2, f(b, _x52, f(b, _x82, c)))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, c)))mark#(f(b, X2, f(f(b, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a), _x42, c))
mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, c), _x42, c))mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, a__c))
mark#(f(b, X2, f(f(c, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, c))mark#(f(b, X2, f(b, _x42, f(b, _x82, f(_x121, _x122, _x123))))) → a__f#(b, X2, a__f(b, _x42, a__f(b, _x82, a__f(mark(_x121), _x122, mark(_x123)))))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, c))mark#(f(b, X2, c)) → a__f#(b, X2, a__c)
mark#(f(b, X2, f(f(c, _x52, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, a__c), _x52, b))mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(a, _x52, mark(_x63)), _x52, a))
mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a__c, _x42, a__c))mark#(f(X1, X2, X3)) → mark#(X1)
mark#(f(b, X2, f(b, _x52, f(b, _x82, b)))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, b)))mark#(f(b, X2, f(f(b, _x72, c), _x52, c))) → a__f#(b, X2, f(f(b, _x72, b), _x52, c))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, a__c))mark#(f(X1, X2, X3)) → mark#(X3)
mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))mark#(f(b, X2, f(b, _x52, f(b, _x82, a)))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, a)))
mark#(f(b, X2, f(c, _x52, c))) → a__f#(b, X2, f(a__c, _x52, b))mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, a__c), _x42, a__c))
a__f#(a, b, X) → mark#(X)mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, b))
mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a__c), _x42, a__c))mark#(f(b, X2, f(b, _x52, b))) → a__f#(b, X2, f(b, _x52, b))
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, c)mark#(f(b, X2, f(f(c, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, b), _x42, a))mark#(f(b, X2, f(f(c, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a), _x42, c))
mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(c, _x42, b))mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, mark(_x63)), _x52, b))
mark#(f(b, X2, f(b, _x42, f(b, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(b, _x82, a__c)))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c))
mark#(f(b, X2, f(b, _x52, f(_x81, _x82, _x83)))) → a__f#(b, X2, f(b, _x52, a__f(mark(_x81), _x82, mark(_x83))))mark#(f(b, X2, f(f(c, b, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(mark(_x63)), mark(_x63), mark(mark(_x63))), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a))mark#(f(b, X2, f(b, _x52, f(_x81, _x92, a)))) → a__f#(b, X2, f(b, _x52, f(mark(_x81), _x92, a)))
mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(c, _x62, b), _x42, a__c))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(c, _x72, a__c), _x42, c))
mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, b)mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__c), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, mark(_x63)), _x52, b))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, b))
mark#(f(b, X2, f(f(c, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, a__c))mark#(f(b, X2, c)) → a__f#(b, X2, b)
mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(b, _x42, f(f(_x101, _x102, _x103), _x82, a)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, a)))
mark#(f(b, X2, f(f(b, _x72, c), _x52, c))) → a__f#(b, X2, f(f(b, _x72, a), _x52, c))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, mark(_x63)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, b), _x52, a))
mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(b, _x42, f(c, _x82, a)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, a)))
mark#(f(b, X2, f(f(_x61, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))mark#(f(b, X2, f(b, _x42, f(_x81, _x82, b)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, b)))
mark#(f(f(_x21, _x22, _x23), X2, a)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a)mark#(f(b, X2, f(f(a, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, c))mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, b), _x42, b))mark#(f(b, X2, f(a, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(a, _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(f(b, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, a__c), _x42, a__c))mark#(f(c, X2, c)) → a__f#(a__c, X2, a__c)
mark#(f(b, X2, f(b, _x42, f(f(_x101, _x102, _x103), _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, mark(_x83))))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, b))
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, b))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, b))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, mark(_x63)), _x52, a__c))mark#(f(a, X2, a)) → a__f#(a, X2, a)
mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, b))
mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, b), _x42, c))mark#(f(b, X2, f(b, _x52, f(b, _x72, c)))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__c)))
mark#(f(b, X2, f(b, _x52, f(b, _x82, c)))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, b)))mark#(f(b, X2, f(b, _x52, f(c, _x92, a)))) → a__f#(b, X2, f(b, _x52, f(a__c, _x92, a)))
mark#(f(b, X2, f(b, _x52, f(_x81, _x82, a)))) → a__f#(b, X2, f(b, _x52, a__f(mark(_x81), _x82, a)))mark#(f(b, X2, f(f(c, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(c, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(b, _x42, f(_x81, _x92, _x83)))) → a__f#(b, X2, a__f(b, _x42, f(mark(_x81), _x92, mark(_x83))))mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, a), _x52, a))
mark#(f(b, X2, f(b, _x52, _x43))) → a__f#(b, X2, f(b, _x52, mark(_x43)))mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, b))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__c), _x52, a))mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))
mark#(f(b, X2, f(f(c, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x72, a__c), _x52, c))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a), _x52, b)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(b, X2, f(f(a__c, _x52, a), _x52, b)) 
a__f#(b, X2, f(a__f(b, _x62, a), _x52, b)) 
a__f#(b, X2, f(a__f(a, _x62, a), _x52, b)) 
a__f#(b, X2, f(a__f(c, _x62, a), _x52, b)) 
Thus, the rule mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a), _x52, b)) is replaced by the following rules:
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a), _x52, b))mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, a), _x52, b))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a), _x52, b))mark#(f(b, X2, f(f(c, _x52, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, a), _x52, b))

Problem 23: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(b, X2, f(f(c, _x52, c), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a), _x52, b))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(b, _x102, b), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(b, _x52, mark(_x63)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x72, c), _x52, c))) → a__f#(b, X2, f(f(a__f(mark(_x71), _x72, mark(_x73)), _x72, a), _x52, c))
mark#(f(X1, X2, b)) → a__f#(mark(X1), X2, b)mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, b), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, b), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, mark(_x103)), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(a, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, a__c))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, a)
mark#(f(b, X2, f(f(c, _x52, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(mark(_x81), _x82, mark(_x83))), _x52, a))mark#(f(c, X2, c)) → a__f#(a__c, X2, b)
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, b)) → a__f#(b, X2, b)
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, _x83)))) → a__f#(b, X2, f(b, _x52, f(b, _x72, mark(_x83))))
mark#(f(b, X2, f(b, _x42, f(a, _x92, a)))) → a__f#(b, X2, a__f(b, _x42, f(a, _x92, a)))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(b, _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x42, f(b, _x92, f(_x131, _x132, _x133))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(mark(_x131), _x132, mark(_x133)))))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a, _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(_x61, _x52, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, a__c), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(mark(_x141), _x152, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, a), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, mark(_x103)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a__c), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__c, _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a__c, _x42, mark(_x43)))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x112, _x103), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a__f(mark(_x111), _x112, mark(_x113)), _x112, mark(_x103)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, b), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, b), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, f(_x181, _x182, _x183))), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(b, _x142, a__f(mark(_x181), _x182, mark(_x183)))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, c)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, mark(_x63)), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__c), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a), _x42, c))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x82, c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, mark(_x83))))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x152, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, f(mark(_x141), _x152, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, a__c))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, b), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, b), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, c), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, a), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a), _x82, c)), _x52, a))mark#(f(b, X2, f(f(_x61, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, b), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x42, f(a, _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(a, _x82, mark(_x83))))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, f(_x181, _x182, _x183))), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__f(mark(_x181), _x182, mark(_x183)))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, mark(_x103)), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x72, c), _x52, c))) → a__f#(b, X2, f(f(b, _x72, a), _x52, c))
mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, mark(_x63)), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c))
mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(b), b, mark(b)), _x42, a__c))mark#(f(b, X2, f(a, _x52, _x43))) → a__f#(b, X2, f(a, _x52, mark(_x43)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))
mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, f(b, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(b, _x102, a__f(b, _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(mark(_x141), _x152, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, mark(_x103)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a), _x42, c))mark#(f(b, X2, f(b, _x42, f(_x81, _x82, f(_x121, _x122, _x123))))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, a__f(mark(_x121), _x122, mark(_x123)))))
mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, b), _x52, c))mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x131, _x132, _x133), _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__f(mark(_x131), _x132, mark(_x133)), _x112, mark(_x103)), _x82, a)), _x52, a))
mark#(f(a, X2, c)) → a__f#(a, X2, a__c)mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(b, _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(mark(_x141), _x122, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, _x103), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, mark(_x103)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x152, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, f(mark(_x141), _x152, mark(_x143))), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, a__c), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__c), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, a), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, b), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, b), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x112, b), _x92, a)), _x52, a))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, c), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__c, _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(b, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(b, _x72, mark(_x63)), _x52, c))
mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))
mark#(f(b, X2, f(f(b, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, b), _x42, a__c))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))
mark#(f(b, X2, f(f(a, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(c, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__c, _x142, mark(_x143))), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__c), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(a, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a, _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, a__c), _x52, b))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x132, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(f(mark(_x121), _x132, mark(_x123)), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x82, f(_x121, _x122, _x123))), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, a__f(mark(_x121), _x122, mark(_x123)))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x72, c), _x52, c))) → a__f#(b, X2, f(f(c, _x72, a), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, b))
mark#(f(b, X2, f(b, _x52, f(b, _x82, c)))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, a)))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a, _x42, b))mark#(f(b, X2, f(f(a, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, b), _x42, a))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, c))mark#(f(a, X2, c)) → a__f#(a, X2, b)
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(mark(_x141), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(a, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a, _x102, mark(_x103)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(b, _x82, a__c)))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, b), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(a, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, b), _x42, c))mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))
mark#(f(b, X2, f(b, _x52, f(c, _x82, c)))) → a__f#(b, X2, f(b, _x52, a__f(a__c, _x82, a__c)))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, b), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, b), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x121, _x122, _x123)), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(mark(_x121), _x122, mark(_x123))), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(a__f(b, b, mark(b)), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x151, _x152, _x153)), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x151), _x152, mark(_x153))), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, c), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))a__f#(a, b, X) → a__f#(mark(X), X, mark(X))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(mark(_x81), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, b), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, b), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, b, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(c), c, mark(c))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, mark(_x103)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(a__c, _x72, mark(_x63)), _x52, c))mark#(f(b, X2, f(b, _x42, f(c, _x92, c)))) → a__f#(b, X2, a__f(b, _x42, f(a__c, _x92, a__c)))
mark#(f(b, X2, f(f(b, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__c), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(_x81, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, c)))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, b)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x131, _x132, _x133), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x131), _x132, mark(_x133)), _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, a)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x112, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(f(mark(_x101), _x112, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x92, a)))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a)))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, b), _x42, c))
mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(a, b, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(mark(_x103)), mark(_x103), mark(mark(_x103))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, b), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x172, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(mark(_x161), _x172, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(c, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__c, _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(b, _x42, f(b, _x92, c)))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__c)))
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x112, _x103), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a__c, _x112, mark(_x103)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__c), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, b), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(mark(_x163)), mark(_x163), mark(mark(_x163))), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, b), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x42, f(c, _x92, a)))) → a__f#(b, X2, a__f(b, _x42, f(c, _x92, a)))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(mark(_x81), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, f(_x181, _x182, _x183))), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, a__f(mark(_x181), _x182, mark(_x183)))), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, a__f(mark(_x141), _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(b, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, c), _x42, c))mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, c)) → a__f#(b, X2, a__c)
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, a__c), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a__c, _x42, a__c))
mark#(f(X1, X2, X3)) → mark#(X1)mark#(f(b, X2, f(b, _x52, f(b, _x82, b)))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, b)))
mark#(f(b, X2, f(f(b, _x72, c), _x52, c))) → a__f#(b, X2, f(f(b, _x72, b), _x52, c))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(c, _x72, c), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(b, _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c))
mark#(f(X1, X2, X3)) → mark#(X3)mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))
mark#(f(b, X2, f(b, _x52, f(b, _x82, a)))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, a)))mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, a__c), _x42, a__c))
a__f#(a, b, X) → mark#(X)mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, b))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__c), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(b, _x52, f(c, _x92, a)))) → a__f#(b, X2, f(b, _x52, f(a, _x92, a)))
mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, c)mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, b), _x42, a))mark#(f(b, X2, f(f(_x61, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__c), _x82, a)), _x52, a))mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(c, _x42, b))
mark#(f(b, X2, f(f(c, _x62, f(f(f(f(_x141, _x142, _x143), _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(a__f(mark(_x141), _x142, mark(_x143)), _x122, mark(_x123)), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, mark(_x63)), _x52, b))
mark#(f(b, X2, f(b, _x42, f(b, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(b, _x82, a__c)))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a, _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, c), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, f(b, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, a__f(b, _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(_x81, _x82, _x83)))) → a__f#(b, X2, f(b, _x52, a__f(mark(_x81), _x82, mark(_x83))))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, mark(_x103)), _x92, a)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(_x81, _x92, a)))) → a__f#(b, X2, f(b, _x52, f(mark(_x81), _x92, a)))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, mark(_x103)), _x92, c)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(_x81, _x82, c)))) → a__f#(b, X2, f(b, _x52, a__f(mark(_x81), _x82, a__c)))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, mark(_x103)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, mark(_x103)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(a, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(a, _x122, mark(_x123)), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__c), _x52, a__c))mark#(f(b, X2, f(f(c, _x52, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, a), _x52, b))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, mark(_x63)), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x92, b)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x131, _x132, _x133), _x112, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__f(mark(_x131), _x132, mark(_x133)), _x112, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(b, _x72, c), _x52, c))) → a__f#(b, X2, f(f(b, _x72, a), _x52, c))
mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, b), _x52, a))mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a))
mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(a, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a, _x142, mark(_x143))), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(_x161, _x162, _x163), _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, mark(_x143))), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x42, f(c, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, a)))
mark#(f(b, X2, f(b, _x42, f(c, _x82, a)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, a)))mark#(f(b, X2, f(f(a, b, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(b), b, mark(b)), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x112, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__c, _x112, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(a, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(a, _x162, mark(_x163)), _x152, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__c), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, c))mark#(f(b, X2, f(f(a, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a, _x72, a), _x52, c))
mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, b), _x42, b))
mark#(f(b, X2, f(b, _x42, f(f(_x101, _x102, _x103), _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, mark(_x83))))mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, b))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a, _x152, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, b, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(b), b, mark(b)), _x52, a__c))mark#(f(a, X2, a)) → a__f#(a, X2, a)
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, a__c), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, b), _x42, c))mark#(f(b, X2, f(b, _x52, f(c, _x92, a)))) → a__f#(b, X2, f(b, _x52, f(a__c, _x92, a)))
mark#(f(b, X2, f(f(c, _x62, f(f(a, b, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(mark(_x103)), mark(_x103), mark(mark(_x103))), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(c, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(b, _x42, f(_x81, _x92, _x83)))) → a__f#(b, X2, a__f(b, _x42, f(mark(_x81), _x92, mark(_x83))))mark#(f(b, X2, f(b, _x42, f(c, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, b)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__c), _x92, a__c)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x92, b)))) → a__f#(b, X2, f(b, _x52, f(b, _x92, b)))
mark#(f(b, X2, f(f(c, _x62, f(f(f(b, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(b, _x122, mark(_x123)), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a, _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x52, _x43))) → a__f#(b, X2, f(b, _x52, mark(_x43)))
mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))mark#(f(b, X2, f(f(c, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x72, a__c), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__c), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(b, _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(mark(_x161), _x162, mark(_x163)), _x152, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(f(mark(_x101), _x112, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(mark(_x141), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(mark(_x141), _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(c, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(a__c, _x122, mark(_x123)), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, a), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, b), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__c), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x151, _x152, _x153)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x151), _x152, mark(_x153))), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__c), _x52, b))mark#(f(b, X2, f(f(c, _x52, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, b), _x52, b))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(b, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, b), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, a), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, c))
mark#(f(b, X2, f(b, _x42, f(b, _x82, b)))) → a__f#(b, X2, a__f(b, _x42, a__f(b, _x82, b)))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x152, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(mark(_x141), _x152, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, mark(_x103)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x82, f(_x101, _x102, _x103))))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, a__f(mark(_x101), _x102, mark(_x103)))))mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(a, b, _x43))) → a__f#(b, X2, a__f(mark(mark(_x43)), mark(_x43), mark(mark(_x43))))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, _x143)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, mark(_x103)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(a, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a, _x72, c), _x52, c))mark#(f(b, X2, f(f(a, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(_x161, _x162, _x163), _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, mark(_x103)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, b), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, b), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, f(_x161, _x162, _x163)), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a__f(mark(_x161), _x162, mark(_x163))), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(b), b, mark(b)), _x42, b))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, f(_x201, _x202, _x203)), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__f(mark(_x201), _x202, mark(_x203))), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, a)), _x52, a))
mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, b))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x112, _x103), _x92, a)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(f(mark(_x101), _x112, mark(_x103)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a))mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(b), b, mark(b)), _x42, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(mark(_x141), _x142, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, b), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, a__c))
mark#(f(b, X2, f(b, _x42, f(a, _x82, a)))) → a__f#(b, X2, a__f(b, _x42, a__f(a, _x82, a)))mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, b), _x42, c))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, b), _x52, b))mark#(f(b, X2, f(f(a, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, a__c), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, b), _x42, b))mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, b))
mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(b), b, mark(b)), _x42, c))mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, b), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__c), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, b), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, b), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(_x81, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, a)))mark#(f(b, X2, f(f(c, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, mark(_x103)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x72, c), _x52, c))mark#(f(b, X2, f(f(a, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a, _x72, b), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, b), _x82, a)), _x52, a))mark#(f(b, X2, f(f(b, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, b), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, c)), _x52, a))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(b, _x142, mark(_x143))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a, _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))mark#(f(b, X2, f(a, _x42, b))) → a__f#(b, X2, a__f(a, _x42, b))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, c), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, b), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x42, f(_x81, _x92, c)))) → a__f#(b, X2, a__f(b, _x42, f(mark(_x81), _x92, a__c)))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, mark(_x103)), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__f(mark(_x111), _x112, mark(_x113)), _x102, a__f(mark(_x141), _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, b), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, c), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__c), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a, _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(mark(_x141), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(c, _x52, c))) → a__f#(b, X2, f(b, _x52, b))mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(b), b, b), _x42, a__c))
mark#(f(b, X2, f(f(_x61, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, a), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, c), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, mark(_x103)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x92, a)))) → a__f#(b, X2, f(b, _x52, f(b, _x92, a)))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, f(_x181, _x182, _x183))), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, a__f(mark(_x181), _x182, mark(_x183)))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, b)), _x82, a)), _x52, a))mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c)
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__c), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x172, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(a, _x172, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(c, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, c)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, a)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, a), _x52, b))
mark#(f(b, X2, f(f(c, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, a__c), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(b, _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__c, _x112, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, a), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, a), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, a), _x52, a))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x92, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, mark(_x103)), _x92, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__c), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, f(_x201, _x202, _x203)), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, a__f(mark(_x201), _x202, mark(_x203))), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x152, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(mark(_x141), _x152, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(b, _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a))mark#(f(b, X2, f(f(c, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, b), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(c, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a__c, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(b, _x142, mark(_x143))), _x82, c)), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(a, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(a, _x82, a__c)))
mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, c), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x112, a__c), _x92, a)), _x52, a))
mark#(f(c, X2, a)) → a__f#(a__c, X2, a)mark#(f(b, X2, f(b, _x42, f(f(_x111, _x112, _x113), _x92, a)))) → a__f#(b, X2, a__f(b, _x42, f(a__f(mark(_x111), _x112, mark(_x113)), _x92, a)))
mark#(f(b, X2, f(a, _x42, a))) → a__f#(b, X2, a__f(a, _x42, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x92, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(mark(_x141), _x142, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, a), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x112, a), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, a))) → a__f#(b, X2, a__f(b, _x42, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(_x61, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, mark(_x63)), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x121, _x122, _x123)), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x112, a__f(mark(_x121), _x122, mark(_x123))), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(a, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a, _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(a, _x112, _x103), _x92, a)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(f(a, _x112, mark(_x103)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__c, _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(a, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__c), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x82, c)))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, c)))mark#(f(b, X2, f(f(b, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a), _x42, c))
mark#(f(b, X2, f(b, _x42, f(b, _x82, f(_x121, _x122, _x123))))) → a__f#(b, X2, a__f(b, _x42, a__f(b, _x82, a__f(mark(_x121), _x122, mark(_x123)))))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, a)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x152, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(mark(_x141), _x152, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, c), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__c), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, a__c), _x52, b))mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(a, _x52, mark(_x63)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, a__c))mark#(f(b, X2, f(f(c, _x52, f(f(a, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a, _x102, mark(_x103)), _x82, c)), _x52, a))
mark#(f(b, X2, f(c, _x52, c))) → a__f#(b, X2, f(a__c, _x52, b))mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, c), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, _x143)), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x92, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(mark(_x81), _x92, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a__c), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x152, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, f(b, _x152, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x52, b))) → a__f#(b, X2, f(b, _x52, b))
mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, b), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, _x103), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(b, _x112, mark(_x103)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a), _x42, c))mark#(f(b, X2, f(f(c, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__c, _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__c, _x142, a)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(b, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(b, _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, b), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, b), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(b, _x142, mark(_x143))), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, b, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(mark(_x63)), mark(_x63), mark(mark(_x63))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, f(_x121, _x122, _x123))), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(mark(_x81), _x82, a__f(mark(_x121), _x122, mark(_x123)))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, a)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x92, c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a))mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(c, _x62, b), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, mark(_x103)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(a, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, b), _x42, b))
mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x112, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__f(mark(_x121), _x122, mark(_x123)), _x112, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(c, _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a, _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(f(_x181, _x182, _x183), _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a__f(mark(_x181), _x182, mark(_x183)), _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, b)mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, b), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, b), _x82, a)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(c, _x82, a__c)))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, a), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(b, _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__c), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__c, _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(a, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, b), _x52, a__c))mark#(f(b, X2, f(b, _x42, f(f(_x101, _x102, _x103), _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, a__c)))
mark#(f(b, X2, f(f(c, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(f(_x101, _x102, _x103), _x82, a)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, a)))mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, c)) → a__f#(b, X2, b)mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(b, _x142, mark(_x143))), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__c), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, mark(_x63)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, a), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, c))mark#(f(b, X2, f(b, _x42, f(_x81, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, b)))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))
mark#(f(b, X2, f(b, _x42, f(_x81, _x82, b)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, b)))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(b, _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(mark(_x141), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(f(_x21, _x22, _x23), X2, a)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a)mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(mark(_x81), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(b, _x142, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, a), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(a, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(a, _x42, a__f(mark(_x81), _x82, mark(_x83))))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(b, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, a__c), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(c, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__c, _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, mark(_x103)), _x92, a__c)), _x52, a))
mark#(f(c, X2, c)) → a__f#(a__c, X2, a__c)mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, a), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a), _x82, a)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x92, _x83)))) → a__f#(b, X2, f(b, _x52, f(b, _x92, mark(_x83))))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, b))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, b))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, b), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, b), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x72, c)))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__c)))mark#(f(b, X2, f(b, _x52, f(b, _x82, c)))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, b)))
mark#(f(b, X2, f(b, _x52, f(_x81, _x82, a)))) → a__f#(b, X2, f(b, _x52, a__f(mark(_x81), _x82, a)))mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, b), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(b, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(b, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(a, _x82, a__c)))mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, b), _x52, b))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x92, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x92, a__f(mark(_x141), _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, a), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, b))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__c), _x52, a))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x82, b)), _x52, a)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x82, b)), _x52, a)) 
a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a, _x142, c)), _x82, b)), _x52, a)) 
a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a, _x142, c)), _x82, b)), _x52, a)) 
a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(c), c, mark(c))), _x82, b)), _x52, a)) 
a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a, _x142, c)), _x82, b)), _x52, a)) 
a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x92, b)), _x52, a)) 
a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a, _x142, c)), _x82, b)), _x52, a)) 
a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a, _x142, c)), _x82, b)), _x52, a)) 
a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a, _x152, c)), _x82, b)), _x52, a)) 
Thus, the rule mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x82, b)), _x52, a)) is replaced by the following rules:
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a, _x152, c)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x92, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a, _x142, c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a, _x142, c)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a, _x142, c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a, _x142, c)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a, _x142, c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, b, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(c), c, mark(c))), _x82, b)), _x52, a))

Problem 24: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(b, _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, c), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a), _x52, b))
mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(b, _x102, b), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(_x151, _x142, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(f(mark(_x151), _x142, mark(_x153)), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(b, _x52, mark(_x63)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(b, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(b, _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(a, _x102, f(_x141, _x142, b)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, b)), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x112, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, mark(_x143))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x52, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, a__c), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, mark(_x63)), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__c), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, mark(_x103)), _x82, b)), _x52, a))mark#(f(b, X2, f(b, _x42, f(c, _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, mark(_x83))))
mark#(f(b, X2, f(f(_x61, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__c, _x142, c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(a__f(a, _x162, a__c), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(_x61, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, a), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, b), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(a__c, _x152, mark(_x153)), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, b, f(_x141, _x142, b)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(a__f(mark(_x141), _x142, b)), a__f(mark(_x141), _x142, b), mark(a__f(mark(_x141), _x142, b))), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(b, _x102, mark(_x103)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x72, c), _x52, c))) → a__f#(b, X2, f(f(b, _x72, a), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(mark(_x163)), mark(_x163), mark(mark(_x163))), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, mark(_x63)), _x52, a))
mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(b, _x42, f(b, _x92, f(c, _x132, _x133))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(a__c, _x132, mark(_x133)))))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x152, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(b, _x152, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x142, b)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(mark(_x141), _x142, b)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(a, _x52, _x43))) → a__f#(b, X2, f(a, _x52, mark(_x43)))mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(b), b, mark(b)), _x42, a__c))
mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, mark(_x103)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(mark(_x141), _x152, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(b, _x142, a)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x131, _x132, _x133), _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__f(mark(_x131), _x132, mark(_x133)), _x112, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, mark(_x103)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, _x103), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, mark(_x103)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, b), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, b), _x82, a)), _x52, a))mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, a__c), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, a), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, b), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(c, _x142, _x143)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__c, _x142, mark(_x143))), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, b), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x112, b), _x92, a)), _x52, a))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, c), _x42, c))
mark#(f(b, X2, f(f(b, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(b, _x72, mark(_x63)), _x52, c))mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(b, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, b), _x42, a__c))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(c, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__c, _x142, mark(_x143))), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a), _x42, c))mark#(f(c, X2, c)) → a__f#(a, X2, b)
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x92, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(b, _x92, f(a__f(a, _x162, a__c), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__c), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x131, _x132, _x133), _x112, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__f(mark(_x131), _x132, mark(_x133)), _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x132, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(f(a, _x132, b), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x92, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(b, _x92, a__f(a__f(a, _x162, b), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(a__c, _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, b)), _x92, c)), _x52, a))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(b, _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(b, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(b, _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(b, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(b, _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__c, _x112, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a, _x42, b))mark#(f(b, X2, f(f(a, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, b), _x42, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a__c), _x102, a__c), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a), _x52, b))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(mark(_x141), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, c)) → a__f#(b, X2, a)mark#(f(b, X2, f(f(a, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, b), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, b), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x42, f(c, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(b, _x82, a__c)))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, b), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, b), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(b, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(b, _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(a__f(b, b, mark(b)), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, b), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, b), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__c, _x142, a)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(mark(_x81), _x82, a__c)), _x52, a))
a__f#(a, b, X) → a__f#(mark(X), X, mark(X))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, b), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, b), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, b, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(mark(_x103)), mark(_x103), mark(mark(_x103))), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, b, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(c), c, mark(c))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, c))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, a__c))))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(a, _x142, _x143)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a, _x142, mark(_x143))), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(b, _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(b, _x152, mark(_x153)), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(b, _x92, f(_x131, _x132, b))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(mark(_x131), _x132, b))))mark#(f(b, X2, f(b, _x42, f(c, _x92, c)))) → a__f#(b, X2, a__f(b, _x42, f(a__c, _x92, a__c)))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x112, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a__c, _x112, a__f(mark(_x141), _x142, mark(_x143))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(_x151, _x152, c), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(mark(_x151), _x152, a__c), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(b, _x92, f(_x131, _x112, _x133))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, f(mark(_x131), _x112, mark(_x133)))))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a, _x142, c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(c, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__c, _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x131, _x132, _x133), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x131), _x132, mark(_x133)), _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, b)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(_x81, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, c)))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, b), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x92, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x92, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, c)), _x82, c)), _x52, a))mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, a), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__c), _x52, b))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(mark(_x163)), mark(_x163), mark(mark(_x163))), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(a), a, mark(a)), _x142, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, c), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(b, _x122, _x123))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(b, _x122, mark(_x123)))))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(mark(_x81), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(f(f(_x101, _x102, _x103), _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, mark(_x83)), _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(b, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(b, _x142, b)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, c))
mark#(f(b, X2, c)) → a__f#(b, X2, a__c)mark#(f(b, X2, f(b, _x52, f(b, _x72, b)))) → a__f#(b, X2, f(b, _x52, f(b, _x72, b)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(a, _x162, mark(_x163)), _x152, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, a__c), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a__c, _x42, a__c))mark#(f(b, X2, f(b, _x52, f(b, _x82, b)))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, b)))
mark#(f(X1, X2, X3)) → mark#(X1)mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(c, _x72, c), _x42, c))
mark#(f(b, X2, f(f(b, _x72, c), _x52, c))) → a__f#(b, X2, f(f(b, _x72, b), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(b, _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(X1, X2, X3)) → mark#(X3)mark#(f(b, X2, f(b, _x52, f(b, _x82, a)))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, a)))
a__f#(a, b, X) → mark#(X)mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, a__c), _x42, a__c))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, b))mark#(f(b, X2, f(b, _x52, f(c, _x92, a)))) → a__f#(b, X2, f(b, _x52, f(a, _x92, a)))
mark#(f(b, X2, f(f(c, _x62, f(f(f(f(_x141, _x142, _x143), _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(a__f(mark(_x141), _x142, mark(_x143)), _x122, a__c), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(a__c), a__c, mark(a__c)), _x142, c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, f(_x141, _x142, c)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, a__f(mark(_x141), _x142, a__c)))))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(_x151, _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(mark(_x151), _x152, mark(_x153)), _x142, b)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a))mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, b), _x42, a))
mark#(f(b, X2, f(f(f(_x81, _x82, f(_x121, _x122, _x123)), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, a__f(mark(_x121), _x122, mark(_x123))), _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(c, _x42, b))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__c), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x42, f(b, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(b, _x82, a__c)))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a, _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x52, f(_x81, _x82, _x83)))) → a__f#(b, X2, f(b, _x52, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, f(b, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, a__f(b, _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, mark(_x103)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, mark(_x103)), _x92, c)), _x52, a))mark#(f(b, X2, f(b, _x52, f(_x81, _x82, c)))) → a__f#(b, X2, f(b, _x52, a__f(mark(_x81), _x82, a__c)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, mark(_x103)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(a, _x142, b)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a, _x142, b)), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(a, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(a, _x122, mark(_x123)), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(c, X2, b)) → a__f#(a__c, X2, b)
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(b, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(b, _x142, mark(_x143))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, a), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__c), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(a, _x92, a)))) → a__f#(b, X2, f(b, _x52, f(a, _x92, a)))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, b)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(f(_x81, _x92, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(f(mark(_x81), _x92, mark(_x83)), _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x52, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, a), _x52, b))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, f(_x121, _x122, _x123))), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__f(mark(_x81), _x82, a__f(mark(_x121), _x122, mark(_x123)))), _x52, a))mark#(f(b, X2, f(f(a, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x92, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, mark(_x103)), _x92, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x92, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, b))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__c), _x142, c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(b, _x142, _x143)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(b, _x142, mark(_x143))), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, mark(_x143))), _x92, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, b), _x52, a))mark#(f(b, X2, f(f(f(f(_x101, _x102, _x103), _x82, b), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, b), _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(a, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a, _x142, mark(_x143))), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(_x161, _x162, _x163), _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, mark(_x143))), _x82, a)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, a)))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, b, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(c), c, mark(c))), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, f(_x151, _x152, _x153))), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, a__f(mark(_x151), _x152, mark(_x153)))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(b), b, mark(b)), _x142, a__c)), _x82, c)), _x52, a))mark#(f(a, X2, b)) → a__f#(a, X2, b)
mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, b), _x42, b))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x132, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, f(mark(_x141), _x132, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, a__c), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(f(_x101, _x102, _x103), _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, mark(_x83))))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(a, _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, f(a, _x152, c)), _x82, b)), _x52, a))mark#(f(a, X2, a)) → a__f#(a, X2, a)
mark#(f(b, X2, f(f(c, b, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(b), b, mark(b)), _x52, a__c))mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, a__c), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, b), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a, _x152, c)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, f(_x141, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(b, _x112, a__f(mark(_x141), _x142, b)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(c, _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(b, _x42, f(_x81, _x92, _x83)))) → a__f#(b, X2, a__f(b, _x42, f(mark(_x81), _x92, mark(_x83))))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__c), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(b, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(b, _x122, mark(_x123)), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x52, _x43))) → a__f#(b, X2, f(b, _x52, mark(_x43)))mark#(f(c, X2, c)) → a__f#(b, X2, b)
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(f(mark(_x101), _x112, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x142, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(f(a, _x142, a__c), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(a, _x162, a__c), _x142, c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, mark(_x103)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(c, _x102, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, c)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, a__c)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(mark(_x141), _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(b, _x102, a__f(a, _x142, c)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(a, _x112, f(f(_x151, _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(f(a, _x112, a__f(a__f(mark(_x151), _x152, mark(_x153)), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x112, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, b), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, _x143)), _x82, f(_x121, _x122, _x123))), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__f(mark(_x121), _x122, mark(_x123)))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__c), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__c), _x52, b))
mark#(f(b, X2, f(f(c, _x52, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, b), _x52, b))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x112, b), _x92, a)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(f(mark(_x101), _x112, b), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, a), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, _x143)), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, f(_x201, _x202, _x203)), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__f(mark(_x201), _x202, mark(_x203))), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(a, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(b, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(b, _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x152, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(mark(_x141), _x152, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(b, _x92, f(_x131, _x132, f(_x141, _x142, _x143)))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(mark(_x131), _x132, a__f(mark(_x141), _x142, mark(_x143))))))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(a, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(a, _x142, mark(_x143))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(a, b, _x43))) → a__f#(b, X2, a__f(mark(mark(_x43)), mark(_x43), mark(mark(_x43))))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x132, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(f(mark(_x121), _x132, a__c), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, _x143)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, mark(_x103)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, c)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, f(_x141, _x142, b)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, a__f(mark(_x141), _x142, b)))))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, mark(_x103)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, b), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(b, _x112, b), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x172, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(mark(_x161), _x172, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, f(_x161, _x162, _x163)), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a__f(mark(_x161), _x162, mark(_x163))), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(a, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(a, _x122, a__c), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, b))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(mark(_x141), _x142, a)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(f(_x161, _x162, _x163), _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(a__f(mark(_x161), _x162, mark(_x163)), _x152, mark(_x153)), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(c, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__c, _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(_x151, _x152, b), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(mark(_x151), _x152, b), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(a, _x82, a)))) → a__f#(b, X2, a__f(b, _x42, a__f(a, _x82, a)))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x112, b), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a__c, _x112, b), _x92, a)), _x52, a))mark#(f(b, X2, f(f(a, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, a__c), _x42, a__c))
mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, b))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, b), _x52, a__c))mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(b), b, mark(b)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__c), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x152, b)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, f(mark(_x141), _x152, b)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, mark(_x143))), _x92, c)), _x52, a))mark#(f(b, X2, f(f(f(_x81, _x82, a), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, a), _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, f(_x141, _x152, _x143)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, f(mark(_x141), _x152, mark(_x143))))))mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, b), _x52, a))
mark#(f(b, X2, f(b, _x42, f(_x81, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, a)))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, mark(_x103)), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(mark(a__c), a__c, mark(a__c)), _x142, a__c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(a, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a, _x72, b), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(c, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(a__c, _x142, b)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(b, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, b), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x112, f(_x141, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a__f(mark(_x111), _x112, mark(_x113)), _x112, a__f(mark(_x141), _x142, b)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, c)), _x52, a))mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(b, _x142, mark(_x143))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a, _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(a, _x42, b))) → a__f#(b, X2, a__f(a, _x42, b))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, b), _x82, a)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(_x81, _x92, c)))) → a__f#(b, X2, a__f(b, _x42, f(mark(_x81), _x92, a__c)))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a), _x142, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, mark(_x103)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__f(mark(_x111), _x112, mark(_x113)), _x102, a__f(mark(_x141), _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, b), _x52, b))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, a)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, a)), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, c), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__c), _x142, c)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, b)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__f(a, _x162, c), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(c, _x52, c))) → a__f#(b, X2, f(b, _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x132, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(f(a, _x132, a__c), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, c), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, f(_x201, _x202, _x203)), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, a__f(mark(_x201), _x202, mark(_x203))), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, c), _x142, a__c)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a, _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(f(_x81, _x82, b), _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, b), _x62, b), _x42, c))
mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c)mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, f(_x181, _x182, _x183))), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, a__f(mark(_x181), _x182, mark(_x183)))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__c), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a, _x142, c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x172, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(a, _x172, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(b), b, mark(b)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, c), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__c), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, a), _x52, b))mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(a, _x162, mark(_x163)), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(b, _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a__c), _x102, a), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, b), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, b), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__c, _x142, a__c)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__c), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a__c), _x102, c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, f(_x201, _x202, _x203)), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, a__f(mark(_x201), _x202, mark(_x203))), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(f(c, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(a__c, _x82, mark(_x83)), _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(a, _x162, b), _x152, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, b), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x72, f(f(_x131, _x132, _x133), _x122, f(_x141, _x142, _x143)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(a__f(mark(_x131), _x132, mark(_x133)), _x122, a__f(mark(_x141), _x142, mark(_x143))))))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(a, _x162, a__c), _x142, c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x172, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(a, _x172, a__c), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, f(_x181, _x182, _x183))), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, a__f(mark(_x181), _x182, mark(_x183)))), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(b, _x142, mark(_x143))), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(a, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(a, _x142, b)), _x92, a__c)), _x52, a))mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))
mark#(f(b, X2, f(b, _x42, f(a, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(a, _x82, a__c)))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, c), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x112, a__c), _x92, a)), _x52, a))
mark#(f(c, X2, a)) → a__f#(a__c, X2, a)mark#(f(b, X2, f(a, _x42, a))) → a__f#(b, X2, a__f(a, _x42, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(b, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(b, _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, a), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x112, a), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(f(a, _x82, b), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(a, _x82, b), _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(b, _x42, a))) → a__f#(b, X2, a__f(b, _x42, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, b, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, a__f(a__f(mark(a__c), a__c, mark(a__c)), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x121, _x122, _x123)), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x112, a__f(mark(_x121), _x122, mark(_x123))), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(c, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a__c, _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(a, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__c), _x52, a__c))
mark#(f(b, X2, f(b, _x52, f(b, _x82, c)))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, c)))mark#(f(b, X2, f(f(b, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x172, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(a, _x172, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x92, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x92, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x152, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(mark(_x141), _x152, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, c), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__c), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__c, _x142, a__c)), _x92, c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(f(_x121, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a__f(mark(_x121), _x122, a__c), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(a, _x162, mark(_x163)), _x152, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(a, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a, _x102, mark(_x103)), _x82, c)), _x52, a))mark#(f(b, X2, f(c, _x52, c))) → a__f#(b, X2, f(a__c, _x52, b))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, _x143)), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x92, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(mark(_x81), _x92, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x152, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, f(b, _x152, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x92, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x92, a__f(a__c, _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, b)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x72, f(a, _x122, _x123))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(a, _x122, mark(_x123)))))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(b, _x142, b)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(b, _x142, b)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(a, _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(f(a, _x112, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(b, _x92, f(a, _x132, _x133))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(a, _x132, mark(_x133)))))mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, a), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x172, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(a, _x172, b), _x142, a__c)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x172, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(a, _x172, mark(_x163)), _x142, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, _x103), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(b, _x112, mark(_x103)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, b), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, b), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__c, _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(b, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(b, _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, b), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, b), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, b, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(mark(_x63)), mark(_x63), mark(mark(_x63))), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a))mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(c, _x62, b), _x42, a__c))
mark#(f(b, X2, f(f(f(a, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(a, _x82, mark(_x83)), _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x112, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__f(mark(_x121), _x122, mark(_x123)), _x112, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__f(mark(_x111), _x112, mark(_x113)), _x102, a__f(a__c, _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a, _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(_x161, _x162, _x163), _x142, _x143)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, mark(_x143))), _x82, mark(_x83))), _x52, a))mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, b)
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(c, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(c, _x82, a__c)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, a), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x172, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(a, _x172, a__c), _x142, c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(b, _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(_x161, _x162, _x163), _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(mark(_x163)), mark(_x163), mark(mark(_x163))), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, b), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, f(a__f(a, _x162, b), _x152, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(a, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, b), _x52, a__c))
mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x112, _x123))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, f(mark(_x121), _x112, mark(_x123)))))mark#(f(b, X2, f(f(c, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x42, f(f(_x101, _x102, _x103), _x82, a)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, a)))
mark#(f(b, X2, c)) → a__f#(b, X2, b)mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(a__c), a__c, mark(a__c)), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(b, _x142, mark(_x143))), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, mark(_x63)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, a), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a), _x82, a)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, f(c, _x142, _x143)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, a__f(a__c, _x142, mark(_x143))))))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a__c), _x102, a__c), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(a, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a, _x142, c)), _x92, b)), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(mark(_x141), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(c, _x42, a))) → a__f#(b, X2, a__f(a__c, _x42, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a), _x142, c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(mark(_x81), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(_x131, _x132, _x133), _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(a__f(mark(_x131), _x132, mark(_x133)), _x142, b)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, b, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__f(mark(a__c), a__c, mark(a__c)), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(b), b, mark(b)), _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(a, _x102, f(_x141, _x142, _x143)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, mark(_x103)), _x92, a__c)), _x52, a))mark#(f(c, X2, c)) → a__f#(a__c, X2, a__c)
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, c))mark#(f(b, X2, f(b, _x52, f(b, _x92, _x83)))) → a__f#(b, X2, f(b, _x52, f(b, _x92, mark(_x83))))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, b))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, b))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x81), _x82, mark(_x83)), _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(a, _x162, a__c), _x152, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, c)))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__c)))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(a, _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(a, _x152, mark(_x153)), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(a, _x162, b), _x152, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(_x81, _x82, a)))) → a__f#(b, X2, f(b, _x52, a__f(mark(_x81), _x82, a)))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x92, c)), _x52, a))
mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(b, _x42, mark(_x43)))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(a, _x162, a), _x142, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, b), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(mark(_x141), _x142, b)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x92, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x92, a__f(mark(_x141), _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(a, _x82, a__c)))mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, a), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(c, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__f(a__c, _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x112, f(_x141, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a__c, _x112, a__f(mark(_x141), _x142, b)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a__c), _x102, a__c), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(a, _x162, a), _x142, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(c, _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(c, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(b, _x102, f(a__f(a, _x162, a__c), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x72, c), _x52, c))) → a__f#(b, X2, f(f(a__f(mark(_x71), _x72, mark(_x73)), _x72, a), _x52, c))
mark#(f(b, X2, f(f(c, _x52, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(mark(_x81), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, b)) → a__f#(b, X2, b)mark#(f(b, X2, f(c, _x52, _x43))) → a__f#(b, X2, f(a__c, _x52, mark(_x43)))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a)), _x82, c)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x72, f(b, _x122, f(_x141, _x142, _x143)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(b, _x122, a__f(mark(_x141), _x142, mark(_x143))))))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a, _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(a, _x162, b), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, a)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, a)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, a), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(mark(_x141), _x152, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x112, _x103), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a__f(mark(_x111), _x112, mark(_x113)), _x112, mark(_x103)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, f(_x181, _x182, _x183))), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(b, _x142, a__f(mark(_x181), _x182, mark(_x183)))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x152, _x143)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, f(mark(_x141), _x152, mark(_x143))), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(b, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(b, _x122, a__c), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(b, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(b, _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x152, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, f(mark(_x141), _x152, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(c, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(a__c, _x142, mark(_x143))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, b), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x152, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, f(mark(_x141), _x152, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, a)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(b, _x142, a)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, a))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, a))))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, a__f(a__f(a, _x162, b), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, b), _x82, c)), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, c), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(b, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(b, _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(a, _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(a, _x82, mark(_x83))))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(a, _x162, a__c), _x142, c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, mark(_x103)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, f(_x181, _x182, _x183))), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__f(mark(_x181), _x182, mark(_x183)))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, a__c), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, f(b, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(b, _x102, a__f(b, _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x172, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(f(a, _x172, b), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x112, b), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a__f(mark(_x111), _x112, mark(_x113)), _x112, b), _x92, a)), _x52, a))mark#(f(b, X2, f(f(f(_x81, _x82, b), _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x81), _x82, b), _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, c)), _x52, a))mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a), _x42, c))
mark#(f(b, X2, f(b, _x42, f(_x81, _x82, f(_x121, _x122, _x123))))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, a__f(mark(_x121), _x122, mark(_x123)))))mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, b), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(a, X2, c)) → a__f#(a, X2, a__c)mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, c)), _x92, a__c)), _x52, a))
mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(b, _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(_x151, _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(mark(_x151), _x152, mark(_x153)), _x142, b)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(mark(_x141), _x122, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__f(mark(_x81), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x152, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, f(mark(_x141), _x152, mark(_x143))), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__c), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x112, a__f(mark(_x141), _x142, mark(_x143))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(_x151, _x152, _x153), _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x112, a__f(a__f(mark(_x151), _x152, mark(_x153)), _x142, b)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__c, _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, a__f(a, _x142, c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(a, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, b)), _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, b)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(a, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a, _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, a__c), _x52, b))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x132, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(f(mark(_x121), _x132, mark(_x123)), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x82, f(_x121, _x122, _x123))), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, a__f(mark(_x121), _x122, mark(_x123)))), _x52, a))mark#(f(b, X2, f(f(c, _x72, c), _x52, c))) → a__f#(b, X2, f(f(c, _x72, a), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a), _x142, a__c)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, mark(_x103)), _x82, a)), _x52, a))
mark#(f(c, X2, c)) → a__f#(c, X2, a)mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, b))
mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a), _x52, a__c))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x82, c)))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, a)))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(b, _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(a, X2, c)) → a__f#(a, X2, b)mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, f(f(_x161, _x162, _x163), _x142, _x143)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, mark(_x143))))))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(a, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a, _x102, mark(_x103)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, a), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(a, _x162, a), _x152, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(a, _x162, a__c), _x152, c)), _x82, a)), _x52, a))mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))
mark#(f(b, X2, f(b, _x52, f(c, _x82, c)))) → a__f#(b, X2, f(b, _x52, a__f(a__c, _x82, a__c)))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(a, _x162, a), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x121, _x122, _x123)), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(mark(_x121), _x122, mark(_x123))), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a)), _x82, a)), _x52, a))mark#(f(f(_x21, _x22, _x23), X2, b)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, b)
mark#(f(b, X2, f(f(_x61, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x151, _x152, _x153)), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x151), _x152, mark(_x153))), _x82, a)), _x52, a))
mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(c, _x42, mark(_x43)))mark#(f(b, X2, f(f(c, _x52, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(f(a, _x52, a__f(mark(_x81), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, c), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__f(mark(_x81), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(f(_x81, _x82, b), _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, b), _x62, a), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, mark(_x103)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(b, _x92, f(_x131, _x132, a))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(mark(_x131), _x132, a))))mark#(f(b, X2, f(f(c, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(a__c, _x72, mark(_x63)), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(mark(_x161), _x162, mark(_x163)), _x152, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(b, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__c), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x112, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(f(mark(_x101), _x112, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x131, _x132, _x133), _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__f(mark(_x131), _x132, mark(_x133)), _x112, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(c, _x92, a)))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a)))
mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(a, b, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(mark(_x103)), mark(_x103), mark(mark(_x103))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, b), _x42, a__c))mark#(f(b, X2, f(f(f(_x81, _x92, b), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(f(mark(_x81), _x92, b), _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x172, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(mark(_x161), _x172, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(b, _x92, c)))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__c)))
mark#(f(b, X2, f(f(c, _x62, f(c, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__c, _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(_x151, _x152, _x153), _x132, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, f(a__f(mark(_x151), _x152, mark(_x153)), _x132, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x112, _x103), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a__c, _x112, mark(_x103)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, b), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, b), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, b))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, b))))
mark#(f(b, X2, f(b, _x42, f(c, _x92, a)))) → a__f#(b, X2, a__f(b, _x42, f(c, _x92, a)))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, f(_x181, _x182, _x183))), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, a__f(mark(_x181), _x182, mark(_x183)))), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x92, b)), _x52, a))mark#(f(b, X2, f(f(b, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, a__f(mark(_x141), _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(c, _x142, b)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__c, _x142, b)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, b, f(_x141, _x142, _x143)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(a__f(mark(_x141), _x142, mark(_x143))), a__f(mark(_x141), _x142, mark(_x143)), mark(a__f(mark(_x141), _x142, mark(_x143)))), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, c), _x42, c))
mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, a__c))mark#(f(b, X2, f(f(c, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, a), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, a), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, a), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x102, c), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__f(mark(_x121), _x122, a__c), _x102, a__c), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, f(_x141, _x142, a)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, a__f(mark(_x141), _x142, a)))))mark#(f(c, X2, c)) → a__f#(b, X2, a)
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__f(mark(_x111), _x112, mark(_x113)), _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, b, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(mark(b), b, mark(b)), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(b, _x92, f(_x131, _x132, c))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(mark(_x131), _x132, a__c))))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x112, a__f(mark(_x141), _x142, b)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__c), _x82, mark(_x83))), _x52, a))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, c)
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, a__f(a__f(a, _x162, a), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, mark(_x63)), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(f(f(_x141, _x142, _x143), _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(a__f(mark(_x141), _x142, mark(_x143)), _x122, mark(_x123)), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, c), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(_x161, _x162, _x163), _x142, b)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, b)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, a__f(a__f(a, _x162, b), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, mark(_x103)), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x92, f(_x131, _x132, _x133))))) → a__f#(b, X2, f(b, _x52, f(b, _x92, a__f(mark(_x131), _x132, mark(_x133)))))
mark#(f(b, X2, f(b, _x52, f(_x81, _x92, a)))) → a__f#(b, X2, f(b, _x52, f(mark(_x81), _x92, a)))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x112, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a__f(mark(_x111), _x112, mark(_x113)), _x112, a__f(mark(_x141), _x142, mark(_x143))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, b)), _x82, f(_x121, _x122, _x123))), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, b)), _x82, a__f(mark(_x121), _x122, mark(_x123)))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x92, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, f(mark(_x81), _x92, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, mark(_x103)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, b), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, b), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(a, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a, _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, mark(_x63)), _x52, b))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a, _x142, c)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x131, _x132, _x133), _x112, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__f(mark(_x131), _x132, mark(_x133)), _x112, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x172, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(a, _x172, b), _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(b, _x72, c), _x52, c))) → a__f#(b, X2, f(f(b, _x72, a), _x52, c))
mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a))mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(b, _x42, f(c, _x82, a)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, a)))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, b)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a), _x52, a__c))mark#(f(b, X2, f(f(f(c, _x82, b), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(a__c, _x82, b), _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(a, b, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(b), b, mark(b)), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x112, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__c, _x112, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(a, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a, _x42, mark(_x43)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(a, _x162, mark(_x163)), _x152, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__c), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, c))mark#(f(b, X2, f(f(a, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a, _x72, a), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__c), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, f(_x141, _x142, f(_x181, _x182, _x183))))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, a__f(mark(_x141), _x142, a__f(mark(_x181), _x182, mark(_x183)))))))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, b))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a, _x152, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, c))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(mark(_x101), _x102, a__f(a__c, _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, c), _x142, c)), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x52, f(c, _x92, a)))) → a__f#(b, X2, f(b, _x52, f(a__c, _x92, a)))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__f(mark(_x111), _x112, mark(_x113)), _x102, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, b, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(mark(_x103)), mark(_x103), mark(mark(_x103))), _x82, c)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, f(a, _x142, _x143)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, a__f(a, _x142, mark(_x143))))))mark#(f(b, X2, f(b, _x42, f(c, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, b)))
mark#(f(b, X2, f(b, _x52, f(b, _x92, b)))) → a__f#(b, X2, f(b, _x52, f(b, _x92, b)))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a, _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, b)), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, b)), _x82, a)), _x52, a))
mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x132, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(f(a, _x132, a__c), _x142, a__c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x72, a__c), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__c), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(b, _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(mark(_x161), _x162, mark(_x163)), _x152, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(mark(_x141), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__c, _x142, b)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, a__c), _x142, c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(a, _x162, c), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(b, _x102, a__f(a__f(a, _x162, b), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__f(mark(_x81), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, c)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x112, f(_x141, _x142, _x143)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, f(mark(_x121), _x112, a__f(mark(_x141), _x142, mark(_x143))))))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x112, f(_x141, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, b)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(c, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(a__c, _x122, mark(_x123)), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(a__c, _x102, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, a), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x122, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, f(mark(_x141), _x122, mark(_x143))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(f(b, _x82, b), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(b, _x82, b), _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x151, _x152, _x153)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x151), _x152, mark(_x153))), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x92, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(b, _x92, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, b), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(b, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, b), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, mark(_x143))), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(c, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(a__c, _x122, a__c), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, mark(_x103)), _x82, c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(b, _x82, b)))) → a__f#(b, X2, a__f(b, _x42, a__f(b, _x82, b)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, mark(_x103)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(a, _x162, a__c), _x142, c)), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x82, f(_x101, _x102, _x103))))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, a__f(mark(_x101), _x102, mark(_x103)))))
mark#(f(b, X2, f(f(a, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, b))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x172, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(a, _x172, a), _x142, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(a, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a, _x72, c), _x52, c))
mark#(f(b, X2, f(f(a, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(_x161, _x162, _x163), _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(_x131, _x132, _x133), _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(a__f(mark(_x131), _x132, mark(_x133)), _x142, mark(_x143))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, a__f(a__c, _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(a, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__f(a, _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, b), _x52, b))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x172, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(a, _x172, b), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, b), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(_x161, _x162, _x163), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(b), b, mark(b)), _x42, b))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, f(_x201, _x202, _x203)), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__f(mark(_x201), _x202, mark(_x203))), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, a)), _x52, a))mark#(f(b, X2, f(c, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(a__c, _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x112, _x103), _x92, a)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(f(mark(_x101), _x112, mark(_x103)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(mark(a__c), a__c, mark(a__c)), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(b), b, mark(b)), _x42, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(f(_x181, _x182, _x183), _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a__f(mark(_x181), _x182, mark(_x183)), _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(c, _x122, f(_x141, _x142, _x143)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(a__c, _x122, a__f(mark(_x141), _x142, mark(_x143))))))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, b)), _x52, a))mark#(f(b, X2, f(b, _x42, f(b, _x92, f(f(_x121, _x122, _x123), _x132, _x133))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(a__f(mark(_x121), _x122, mark(_x123)), _x132, mark(_x133)))))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, b), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x112, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__f(mark(_x121), _x122, a__c), _x112, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, _x103), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, mark(_x103)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, b), _x42, c))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, b), _x52, b))mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, b), _x42, b))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(c, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__c, _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, b), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(f(b, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(b, _x82, mark(_x83)), _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, b), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, b, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__f(mark(b), b, mark(b)), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(a, _x162, b), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x72, f(a, _x122, f(_x141, _x142, _x143)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(a, _x122, a__f(mark(_x141), _x142, mark(_x143))))))mark#(f(b, X2, f(f(c, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x72, c), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, b), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(mark(_x141), _x142, b)), _x82, b)), _x52, a))
mark#(f(a, X2, c)) → a__f#(a, X2, a)mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(a, _x162, b), _x152, a__c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, a), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a), _x142, a)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(b, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__f(b, _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(a__c, _x122, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, c), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(a, _x72, b), _x52, c))) → a__f#(b, X2, f(f(a, _x72, b), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, c), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__c), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a, _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(_x151, _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(mark(_x151), _x152, mark(_x153)), _x142, b)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, b), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, b), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(mark(_x141), _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(b), b, b), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, a), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(b, _x112, a__f(mark(_x141), _x142, mark(_x143))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, c), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x142, _x143)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a__c), _x102, b), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, mark(_x103)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(a__f(a, _x162, a__c), _x122, a__c)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(mark(_x141), _x142, b)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, f(_x181, _x182, _x183))), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, a__f(mark(_x181), _x182, mark(_x183)))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x92, a)))) → a__f#(b, X2, f(b, _x52, f(b, _x92, a)))
mark#(f(b, X2, f(f(c, b, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(a__f(mark(_x81), _x82, mark(_x83))), a__f(mark(_x81), _x82, mark(_x83)), mark(a__f(mark(_x81), _x82, mark(_x83)))), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(f(_x131, _x132, _x133), _x122, _x123))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(a__f(mark(_x131), _x132, mark(_x133)), _x122, mark(_x123)))))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x132, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, a__f(f(a, _x132, a__c), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, b)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(a, b, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(c), c, mark(c))), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, f(a__f(a, _x162, a__c), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, c)))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(a, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a, _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(a, _x102, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a, _x102, mark(_x103)), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, a__c), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(_x151, _x152, a), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(mark(_x151), _x152, a), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__c, _x112, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, a), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x52, a), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, a), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(a, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(a, _x162, a), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x92, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, mark(_x103)), _x92, mark(_x83))), _x52, a))
mark#(f(b, X2, f(b, _x42, f(b, _x92, f(b, _x132, _x133))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(b, _x132, mark(_x133)))))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x152, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(mark(_x141), _x152, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(b, _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(c, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a__c, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(b, _x102, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x122, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, f(mark(_x141), _x122, b)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(_x151, _x152, f(_x171, _x172, _x173)), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(mark(_x151), _x152, a__f(mark(_x171), _x172, mark(_x173))), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(mark(a__c), a__c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, f(b, _x142, _x143)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, a__f(b, _x142, mark(_x143))))))mark#(f(b, X2, f(b, _x42, f(f(_x111, _x112, _x113), _x92, a)))) → a__f#(b, X2, a__f(b, _x42, f(a__f(mark(_x111), _x112, mark(_x113)), _x92, a)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x92, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(mark(_x141), _x142, a)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(_x61, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, mark(_x63)), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(a, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a, _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(a, _x112, _x103), _x92, a)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(f(a, _x112, mark(_x103)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__c, _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__f(a, _x162, a), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x112, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__c, _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x82, f(_x121, _x122, _x123))), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, mark(_x103)), _x82, a__f(mark(_x121), _x122, mark(_x123)))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, a)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(b, _x82, f(_x121, _x122, _x123))))) → a__f#(b, X2, a__f(b, _x42, a__f(b, _x82, a__f(mark(_x121), _x122, mark(_x123)))))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, _x143)), _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, b)), _x52, a))mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a)
mark#(f(b, X2, f(f(c, _x52, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, a__c), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__c), _x142, b)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(a, _x52, mark(_x63)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, b)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, c), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, b)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a__c), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x92, a)), _x52, a))mark#(f(b, X2, f(b, _x52, b))) → a__f#(b, X2, f(b, _x52, b))
mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x82, b)), _x52, a))
mark#(f(c, X2, c)) → a__f#(a, X2, a)mark#(f(b, X2, f(f(c, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, b), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x92, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a__c, _x92, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(a, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a, _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, _x143)), _x92, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x92, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a), _x42, c))
mark#(f(b, X2, f(f(c, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__c, _x142, a)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(b, _x142, mark(_x143))), _x82, b)), _x52, a))mark#(f(b, X2, f(f(f(_x81, _x82, b), _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, b), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, f(_x121, _x122, _x123))), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(mark(_x81), _x82, a__f(mark(_x121), _x122, mark(_x123)))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, a)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x92, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a, _x142, c)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, mark(_x103)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x152, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, f(mark(_x141), _x152, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(a, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, b), _x42, b))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(c, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(f(_x181, _x182, _x183), _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a__f(mark(_x181), _x182, mark(_x183)), _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, b), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, b), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, a__f(a__f(a, _x162, c), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__c), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, a)))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__c, _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x72, f(c, _x122, _x123))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(a__c, _x122, mark(_x123)))))mark#(f(b, X2, f(f(f(_x81, _x82, b), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x81), _x82, b), _x62, mark(_x63)), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(c, _x42, b))) → a__f#(b, X2, a__f(a__c, _x42, b))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x132, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(f(a, _x132, a__c), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(f(_x81, _x82, b), _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, b), _x62, a__c), _x42, c))
mark#(f(b, X2, f(b, _x42, f(f(_x101, _x102, _x103), _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, a__c)))mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__c), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, b), _x82, a)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, b), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(f(_x81, _x82, c), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, a__c), _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(b, _x42, f(_x81, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, b)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, f(_x201, _x202, _x203)), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__f(mark(_x201), _x202, mark(_x203))), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, b)), _x92, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(mark(_x141), _x142, b)), _x92, mark(_x83))), _x52, a))mark#(f(b, X2, f(b, _x42, f(_x81, _x82, b)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, b)))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(b, _x142, b)), _x82, a__c)), _x52, a))
mark#(f(f(_x21, _x22, _x23), X2, a)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a)mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, b), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__f(a, _x162, b), _x142, c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(b, _x142, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, b), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__c, _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, a), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, a), _x42, c))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(a, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(a, _x42, a__f(mark(_x81), _x82, mark(_x83))))mark#(f(b, X2, f(f(b, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, a__c), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(c, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__c, _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, a), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, b)), _x92, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, a), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, b), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, b), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, b))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x82, c)))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, b)))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__c, _x142, a__c)), _x92, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(b, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(b, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, b), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__c), _x142, a)), _x92, a)), _x52, a))
mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(a, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(a, _x162, a), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__c), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, mark(_x103)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(b, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(b, _x142, a)), _x82, a__c)), _x52, a))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, mark(_x63)), _x52, c)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, c)) 
a__f#(b, X2, f(a__f(a__c, _x62, a__c), _x52, c)) 
a__f#(b, X2, f(a__f(a__c, _x62, b), _x52, c)) 
a__f#(b, X2, f(a__f(a__c, _x62, a), _x52, c)) 
a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, c)) 
a__f#(b, X2, f(a__f(c, _x62, mark(_x63)), _x52, c)) 
a__f#(b, X2, f(a__f(a__c, _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, c)) 
a__f#(b, X2, f(f(a__c, _x52, mark(_x63)), _x52, c)) 
Thus, the rule mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, mark(_x63)), _x52, c)) is replaced by the following rules:
mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a), _x52, c))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, c))
mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, b), _x52, c))mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, mark(_x63)), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, c))mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__c), _x52, c))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, c))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, mark(_x63)), _x52, c))

Problem 25: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(b, _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, c), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a), _x52, b))
mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(b, _x102, b), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(_x151, _x142, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(f(mark(_x151), _x142, mark(_x153)), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(b, _x52, mark(_x63)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(b, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(b, _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(a, _x102, f(_x141, _x142, b)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, b)), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x112, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, mark(_x143))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x52, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, a__c), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(c, _x52, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, b), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, b, f(_x141, _x142, b)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(a__f(mark(_x141), _x142, b)), a__f(mark(_x141), _x142, b), mark(a__f(mark(_x141), _x142, b))), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(b, _x102, mark(_x103)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(mark(_x163)), mark(_x163), mark(mark(_x163))), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x92, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x92, a__f(a__c, _x142, c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, mark(_x63)), _x52, a))mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x152, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(b, _x152, a)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(mark(_x141), _x152, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, mark(_x103)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(b, _x142, a)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, a__f(mark(_x81), _x82, mark(_x83))), _x52, c))
mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x131, _x132, _x133), _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__f(mark(_x131), _x132, mark(_x133)), _x112, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(c, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__c, _x82, mark(_x83))), _x52, c))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(c, _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__c, _x82, a)), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(a__c, _x142, c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, mark(_x103)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, b), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, b), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, _x103), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, mark(_x103)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__c, _x142, c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, a__c), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, a), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, b), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(c, _x142, _x143)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__c, _x142, mark(_x143))), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, b), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x112, b), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(f(b, b, mark(b)), _x42, a__c))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, c), _x42, c))
mark#(f(b, X2, f(f(_x61, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, b))mark#(f(b, X2, f(f(b, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(b, _x72, mark(_x63)), _x52, c))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(b, _x152, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, f(b, _x152, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(b, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, b), _x42, a__c))
mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, b)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(c, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__c, _x142, mark(_x143))), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(_x61, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a), _x42, c))
mark#(f(c, X2, c)) → a__f#(a, X2, b)mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(c, _x142, f(_x151, _x152, _x153))), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__c, _x142, a__f(mark(_x151), _x152, mark(_x153)))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x92, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(b, _x92, f(a__f(a, _x162, a__c), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__c), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x131, _x132, _x133), _x112, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__f(mark(_x131), _x132, mark(_x133)), _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x132, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(f(a, _x132, b), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x92, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(b, _x92, a__f(a__f(a, _x162, b), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(a__c, _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, b)), _x92, c)), _x52, a))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(b, _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(b, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(b, _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(a, _x52, c))) → a__f#(b, X2, f(a, _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(b, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(b, _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__c, _x112, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a, _x42, b))
mark#(f(b, X2, f(f(a, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, b), _x42, a))mark#(f(b, X2, f(f(a, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(a, _x72, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a__c), _x102, a__c), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(c, _x82, b)))) → a__f#(b, X2, a__f(b, _x42, a__f(b, _x82, b)))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a), _x52, b))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, b))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(mark(_x141), _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, c)) → a__f#(b, X2, a)
mark#(f(b, X2, f(f(a, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, b), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, b), _x82, a)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(b, _x82, a__c)))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, b), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, b), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(b, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(b, _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(a__f(b, b, mark(b)), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x152, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(b, _x152, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, b, b), _x52, c))) → a__f#(b, X2, f(f(mark(b), b, mark(b)), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, b), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, b), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__c, _x142, a)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(mark(_x81), _x82, a__c)), _x52, a))a__f#(a, b, X) → a__f#(mark(X), X, mark(X))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(c, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__c, _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(a, _x162, b), _x142, b)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, b), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, b), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, b, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(mark(_x103)), mark(_x103), mark(mark(_x103))), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, b, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(c), c, mark(c))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, c))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, a__c))))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(a, _x142, _x143)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a, _x142, mark(_x143))), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(b, _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(b, _x152, mark(_x153)), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(b, _x92, f(_x131, _x132, b))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(mark(_x131), _x132, b))))mark#(f(b, X2, f(b, _x42, f(c, _x92, c)))) → a__f#(b, X2, a__f(b, _x42, f(a__c, _x92, a__c)))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(a__c, _x152, mark(_x153)), _x142, b)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x112, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a__c, _x112, a__f(mark(_x141), _x142, mark(_x143))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(b, _x92, f(c, _x132, f(_x141, _x142, _x143)))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(a__c, _x132, a__f(mark(_x141), _x142, mark(_x143))))))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(mark(_x141), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(_x151, _x152, c), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(mark(_x151), _x152, a__c), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(b, _x92, f(_x131, _x112, _x133))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, f(mark(_x131), _x112, mark(_x133)))))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a, _x142, c)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(mark(a__c), a__c, mark(c)), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(mark(a__c), c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(c, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__c, _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x131, _x132, _x133), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x131), _x132, mark(_x133)), _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, b)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(_x81, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, c)))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, a)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, b), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x92, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x92, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, a), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__c), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(mark(_x163)), mark(_x163), mark(mark(_x163))), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(a), a, mark(a)), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x42, f(c, _x82, f(f(_x141, _x142, _x143), _x122, _x123))))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, a__f(a__f(mark(_x141), _x142, mark(_x143)), _x122, mark(_x123)))))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, c), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(b, _x122, _x123))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(b, _x122, mark(_x123)))))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x42, f(b, _x92, f(c, _x132, a))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(a__c, _x132, a))))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(mark(_x81), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(f(f(_x101, _x102, _x103), _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, mark(_x83)), _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(b, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(b, _x142, b)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, c))
mark#(f(b, X2, c)) → a__f#(b, X2, a__c)mark#(f(b, X2, f(b, _x52, f(b, _x72, b)))) → a__f#(b, X2, f(b, _x52, f(b, _x72, b)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(a, _x162, mark(_x163)), _x152, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, a__c), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(a__c, _x42, a__c))mark#(f(b, X2, f(b, _x52, f(b, _x82, b)))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, b)))
mark#(f(X1, X2, X3)) → mark#(X1)mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(c, _x72, c), _x42, c))
mark#(f(b, X2, f(f(b, _x72, c), _x52, c))) → a__f#(b, X2, f(f(b, _x72, b), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(b, _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(X1, X2, X3)) → mark#(X3)mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x92, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x92, f(a__f(a, _x162, a__c), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x82, a)))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, a)))a__f#(a, b, X) → mark#(X)
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, a__c), _x42, a__c))mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, b))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x142, b)), _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(mark(_x141), _x142, b)), _x82, b)), _x52, a))mark#(f(b, X2, f(b, _x52, f(c, _x92, a)))) → a__f#(b, X2, f(b, _x52, f(a, _x92, a)))
mark#(f(b, X2, f(f(c, _x62, f(f(f(f(_x141, _x142, _x143), _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(a__f(mark(_x141), _x142, mark(_x143)), _x122, a__c), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(a__c), a__c, mark(a__c)), _x142, c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, f(_x141, _x142, c)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, a__f(mark(_x141), _x142, a__c)))))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x92, f(c, _x132, _x133))))) → a__f#(b, X2, f(b, _x52, f(b, _x92, a__f(a__c, _x132, mark(_x133)))))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, f(_x151, _x162, _x153))), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, f(mark(_x151), _x162, mark(_x153)))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(b, _x152, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, f(b, _x152, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(_x151, _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(mark(_x151), _x152, mark(_x153)), _x142, b)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(_x61, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x52, mark(_x63)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, b), _x42, a))mark#(f(b, X2, f(f(f(_x81, _x82, f(_x121, _x122, _x123)), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, a__f(mark(_x121), _x122, mark(_x123))), _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(c, _x42, c))) → a__f#(b, X2, a__f(c, _x42, b))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__c), _x82, a)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(b, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(b, _x82, a__c)))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a, _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, f(_x121, _x122, _x123))), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__f(mark(_x81), _x82, a__f(mark(_x121), _x122, mark(_x123)))), _x52, c))mark#(f(b, X2, f(b, _x52, f(_x81, _x82, _x83)))) → a__f#(b, X2, f(b, _x52, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, f(b, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, a__f(b, _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, mark(_x103)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, mark(_x103)), _x92, c)), _x52, a))mark#(f(b, X2, f(b, _x52, f(_x81, _x82, c)))) → a__f#(b, X2, f(b, _x52, a__f(mark(_x81), _x82, a__c)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, mark(_x103)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, f(_x171, _x172, _x173)), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(a__c, _x152, a__f(mark(_x171), _x172, mark(_x173))), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(a, _x142, b)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a, _x142, b)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(a, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(a, _x122, mark(_x123)), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__c, _x142, c)), _x92, a)), _x52, a))mark#(f(c, X2, b)) → a__f#(a__c, X2, b)
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(b, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(b, _x142, mark(_x143))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(a, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, a), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, c), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(a__c, _x152, a__c), _x142, b)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__c), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, a), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(a__f(mark(b), a__c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, b, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(a__f(mark(_x141), _x142, a__c)), a__f(mark(_x141), _x142, a__c), mark(a__f(mark(_x141), _x142, a__c))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(a, _x92, a)))) → a__f#(b, X2, f(b, _x52, f(a, _x92, a)))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, b)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(f(_x81, _x92, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(f(mark(_x81), _x92, mark(_x83)), _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x52, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, a), _x52, b))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, f(_x121, _x122, _x123))), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__f(mark(_x81), _x82, a__f(mark(_x121), _x122, mark(_x123)))), _x52, a))mark#(f(b, X2, f(f(a, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x92, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, mark(_x103)), _x92, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x92, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, f(a__f(mark(a__c), a__c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, b))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__c), _x142, c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(b, _x142, _x143)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(b, _x142, mark(_x143))), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, mark(_x143))), _x92, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(a, _x162, a__c), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, b), _x52, a))mark#(f(b, X2, f(f(f(f(_x101, _x102, _x103), _x82, b), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, b), _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__c), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(a, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a, _x142, mark(_x143))), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(_x161, _x162, _x163), _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, mark(_x143))), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x42, f(c, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, a)))
mark#(f(b, X2, f(b, _x42, f(b, _x92, f(c, _x132, c))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(a__c, _x132, a__c))))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, b, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(c), c, mark(c))), _x82, b)), _x52, a))mark#(f(b, X2, f(b, _x42, f(b, _x92, f(c, _x132, b))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(a__c, _x132, b))))
mark#(f(b, X2, f(f(c, _x62, f(f(f(f(_x141, _x142, _x143), _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(a__f(mark(_x141), _x142, mark(_x143)), _x122, mark(_x123)), _x102, a__c), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, b), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, f(a__f(a, _x162, b), _x152, c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, f(_x151, _x152, _x153))), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, a__f(mark(_x151), _x152, mark(_x153)))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, a), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(b), b, mark(b)), _x142, a__c)), _x82, c)), _x52, a))mark#(f(a, X2, b)) → a__f#(a, X2, b)
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x92, f(f(a, _x162, b), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x92, a__f(a__f(a, _x162, b), _x142, c)), _x92, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, f(_x151, _x152, c))), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, a__f(mark(_x151), _x152, a__c))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, b), _x42, b))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x132, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, f(mark(_x141), _x132, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, a__c), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, c), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(b, _x152, a__c), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(f(_x101, _x102, _x103), _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, mark(_x83))))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(a, _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, f(a, _x152, c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, c))mark#(f(a, X2, a)) → a__f#(a, X2, a)
mark#(f(b, X2, f(f(c, b, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(b), b, mark(b)), _x52, a__c))mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, a__c), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x92, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x92, f(a__f(a, _x162, c), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, b), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(mark(_x81), _x82, a__c)), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a, _x152, c)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, f(_x141, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(b, _x112, a__f(mark(_x141), _x142, b)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(c, _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(b, _x42, f(_x81, _x92, _x83)))) → a__f#(b, X2, a__f(b, _x42, f(mark(_x81), _x92, mark(_x83))))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__c), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x92, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x92, f(a__f(mark(a__c), a__c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(b, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(b, _x122, mark(_x123)), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x52, _x43))) → a__f#(b, X2, f(b, _x52, mark(_x43)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, mark(_x83))), _x52, c))mark#(f(c, X2, c)) → a__f#(b, X2, b)
mark#(f(b, X2, f(f(a, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, a__c))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(f(mark(_x101), _x112, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x142, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(f(a, _x142, a__c), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, a__f(a__c, _x142, c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(a, _x162, a__c), _x142, c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, mark(_x103)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(c, _x102, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, c)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, a__c)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, f(a__f(a, _x162, c), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(b, _x152, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, f(b, _x152, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(mark(_x141), _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(b, _x102, a__f(a, _x142, c)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(a, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a, _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(a, _x112, f(f(_x151, _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(f(a, _x112, a__f(a__f(mark(_x151), _x152, mark(_x153)), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(a, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a, _x142, mark(_x143))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x112, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x82, f(_x121, _x122, a))))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, a__f(mark(_x121), _x122, a))))mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a), _x52, a))
mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a), _x52, c))mark#(f(b, X2, f(f(a, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, b), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, f(_x151, _x152, _x153))), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, a__f(mark(_x151), _x152, mark(_x153)))), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, b), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, _x143)), _x82, f(_x121, _x122, _x123))), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__f(mark(_x121), _x122, mark(_x123)))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__c), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x82, f(_x121, _x132, _x123))))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, f(mark(_x121), _x132, mark(_x123)))))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__c), _x52, b))mark#(f(b, X2, f(f(c, _x52, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, b), _x52, b))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x112, b), _x92, a)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(f(mark(_x101), _x112, b), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, a), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, _x143)), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x92, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(mark(_x81), _x92, mark(_x83))), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(c, _x92, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__c, _x92, mark(_x83))), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, f(_x201, _x202, _x203)), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__f(mark(_x201), _x202, mark(_x203))), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(a, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, b, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(a__f(a__f(a, _x162, b), _x142, c)), a__f(a__f(a, _x162, b), _x142, c), mark(a__f(a__f(a, _x162, b), _x142, c))), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(b, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(b, _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x152, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(mark(_x141), _x152, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, b, b), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, f(a__f(mark(b), b, mark(b)), _x122, c)), _x92, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x92, a)), _x52, a))mark#(f(b, X2, f(b, _x42, f(b, _x92, f(_x131, _x132, f(_x141, _x142, _x143)))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(mark(_x131), _x132, a__f(mark(_x141), _x142, mark(_x143))))))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(a, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(a, _x142, mark(_x143))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(a, b, _x43))) → a__f#(b, X2, a__f(mark(mark(_x43)), mark(_x43), mark(mark(_x43))))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x132, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(f(mark(_x121), _x132, a__c), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, c), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(a__c, _x152, c), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(_x41, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(mark(_x41), _x42, a__f(mark(_x81), _x82, mark(_x83))))mark#(f(b, X2, f(_x41, _x42, b))) → a__f#(b, X2, a__f(mark(_x41), _x42, b))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, _x143)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, mark(_x103)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, c)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, f(_x141, _x142, b)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, a__f(mark(_x141), _x142, b)))))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, mark(_x103)), _x82, c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(c, _x82, f(b, _x122, _x123))))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, a__f(b, _x122, mark(_x123)))))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(a, _x162, b), _x142, c)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, b), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(b, _x112, b), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x172, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(mark(_x161), _x172, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, f(_x161, _x162, _x163)), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a__f(mark(_x161), _x162, mark(_x163))), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(a, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(a, _x122, a__c), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__f(mark(_x81), _x82, b)), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, a)), _x82, c)), _x52, a))
mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, b))mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(f(b, b, mark(b)), _x42, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, c), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(a__c, _x152, a), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(mark(_x141), _x142, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(f(_x161, _x162, _x163), _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(a__f(mark(_x161), _x162, mark(_x163)), _x152, mark(_x153)), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(c, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__c, _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(c, _x82, f(_x121, _x122, _x123))))) → a__f#(b, X2, a__f(b, _x42, a__f(b, _x82, a__f(mark(_x121), _x122, mark(_x123)))))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(mark(a__c), b, mark(a__c)), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(mark(a__c), a__c, mark(b)), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(mark(c), b, mark(a__c)), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(mark(c), a__c, mark(b)), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(c, _x82, _x83)))) → a__f#(b, X2, f(b, _x52, a__f(a__c, _x82, mark(_x83))))mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(_x151, _x152, b), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(mark(_x151), _x152, b), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x82, f(_x121, _x122, _x123))))) → a__f#(b, X2, a__f(b, _x42, a__f(a, _x82, a__f(mark(_x121), _x122, mark(_x123)))))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, f(b, _x152, _x153))), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, a__f(b, _x152, mark(_x153)))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(c, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(c, _x82, mark(_x83))), _x52, c))mark#(f(b, X2, f(b, _x42, f(a, _x82, a)))) → a__f#(b, X2, a__f(b, _x42, a__f(a, _x82, a)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(a__f(a, _x162, b), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x172, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(f(a, _x172, b), _x142, a__c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x112, b), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a__c, _x112, b), _x92, a)), _x52, a))mark#(f(b, X2, f(b, _x52, f(c, _x82, _x83)))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, mark(_x83))))
mark#(f(b, X2, f(f(c, _x62, f(f(a, b, a), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(a), a, mark(a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(a, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, a__c), _x42, a__c))
mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, b))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, b), _x52, a__c))mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(b), b, mark(b)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__c), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x152, b)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, f(mark(_x141), _x152, b)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, mark(_x143))), _x92, c)), _x52, a))mark#(f(b, X2, f(f(f(_x81, _x82, a), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, a), _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, f(_x141, _x152, _x143)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, f(mark(_x141), _x152, mark(_x143))))))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(a, _x152, mark(_x153)), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, b), _x52, a))mark#(f(b, X2, f(b, _x42, f(_x81, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, a)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, b))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(mark(a__c), a__c, mark(a__c)), _x142, a__c)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, mark(_x103)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(a, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a, _x72, b), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(c, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(a__c, _x142, b)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(b, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, b), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x112, f(_x141, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a__f(mark(_x111), _x112, mark(_x113)), _x112, a__f(mark(_x141), _x142, b)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, mark(_x63)), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(b, _x142, mark(_x143))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(_x41, _x42, c))) → a__f#(b, X2, a__f(mark(_x41), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a, _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x142, b)), _x82, f(_x121, _x122, _x123))), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(mark(_x141), _x142, b)), _x82, a__f(mark(_x121), _x122, mark(_x123)))), _x52, a))mark#(f(b, X2, f(a, _x42, b))) → a__f#(b, X2, a__f(a, _x42, b))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, f(_x141, _x142, f(_x151, _x152, _x153))), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(b, _x102, a__f(mark(_x141), _x142, a__f(mark(_x151), _x152, mark(_x153)))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x92, f(f(a, b, b), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x92, a__f(a__f(mark(b), b, mark(b)), _x142, c)), _x92, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, b), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x42, f(c, _x82, f(_x121, _x122, f(_x161, _x162, _x163)))))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, a__f(mark(_x121), _x122, a__f(mark(_x161), _x162, mark(_x163))))))
mark#(f(b, X2, f(b, _x42, f(_x81, _x92, c)))) → a__f#(b, X2, a__f(b, _x42, f(mark(_x81), _x92, a__c)))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a), _x142, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, mark(_x103)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(b, _x42, f(b, _x92, f(c, _x132, _x133))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(a, _x132, mark(_x133)))))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__f(mark(_x111), _x112, mark(_x113)), _x102, a__f(mark(_x141), _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, b), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, c), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, a)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, a)), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__c), _x142, c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, b)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(b, _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(b, _x82, a)), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__f(a, _x162, c), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(c, _x52, c))) → a__f#(b, X2, f(b, _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x132, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(f(a, _x132, a__c), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, c), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, f(_x201, _x202, _x203)), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, a__f(mark(_x201), _x202, mark(_x203))), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, c), _x142, a__c)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(b, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, b), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x112, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__f(mark(_x121), _x122, mark(_x123)), _x112, a__c), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(f(_x81, _x82, b), _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, b), _x62, b), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a, _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a__c)mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, f(_x181, _x182, _x183))), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, a__f(mark(_x181), _x182, mark(_x183)))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__c), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a, _x142, c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, f(_x161, _x162, _x163)), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a__f(mark(_x161), _x162, mark(_x163))), _x102, a__c), _x82, c)), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(b), b, mark(b)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x172, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(a, _x172, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__f(mark(_x111), _x112, mark(_x113)), _x102, a__f(a__c, _x142, c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, c), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(a, _x152, a__c), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, c), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__c), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, a), _x52, b))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x92, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, f(mark(_x81), _x92, mark(_x83))), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, f(_x151, _x152, _x153))), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, a__f(mark(_x151), _x152, mark(_x153)))), _x92, c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(a, _x162, mark(_x163)), _x142, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a__c), _x102, a), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(b, _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, b), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, b), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, b), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x42, f(c, _x82, f(_x121, _x122, b))))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, a__f(mark(_x121), _x122, b))))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__c, _x142, a__c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a__c), _x102, c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__c), _x82, c)), _x52, a))mark#(f(b, X2, f(f(f(c, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(a__c, _x82, mark(_x83)), _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, f(_x201, _x202, _x203)), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, a__f(mark(_x201), _x202, mark(_x203))), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(_x61, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, a))
mark#(f(b, X2, f(f(c, _x52, f(f(a, _x102, f(f(a, _x162, b), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(a, _x102, a__f(a__f(a, _x162, b), _x142, c)), _x92, c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(c, _x92, c)))) → a__f#(b, X2, a__f(b, _x42, f(c, _x92, a__c)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(a, _x162, b), _x152, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, b), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(f(_x131, _x132, _x133), _x122, f(_x141, _x142, _x143)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(a__f(mark(_x131), _x132, mark(_x133)), _x122, a__f(mark(_x141), _x142, mark(_x143))))))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, b)), _x52, a))mark#(f(b, X2, f(a, _x52, b))) → a__f#(b, X2, f(a, _x52, b))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(a, _x162, a__c), _x142, c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x172, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(a, _x172, a__c), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, f(_x181, _x182, _x183))), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, a__f(mark(_x181), _x182, mark(_x183)))), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(b, _x142, mark(_x143))), _x82, c)), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(a, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(a, _x142, b)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, mark(_x63)), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(a, b, f(f(a, _x162, b), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(a__f(a__f(a, _x162, b), _x142, c)), a__f(a__f(a, _x162, b), _x142, c), mark(a__f(a__f(a, _x162, b), _x142, c))), _x92, c)), _x52, a))
mark#(f(c, X2, X3)) → a__f#(a__c, X2, mark(X3))mark#(f(b, X2, f(b, _x42, f(a, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(a, _x82, a__c)))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, f(c, _x152, _x153))), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, a__f(a__c, _x152, mark(_x153)))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, c), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x112, a__c), _x92, a)), _x52, a))
mark#(f(c, X2, a)) → a__f#(a__c, X2, a)mark#(f(b, X2, f(a, _x42, a))) → a__f#(b, X2, a__f(a, _x42, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(b, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(b, _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, a), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x112, a), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(f(a, _x82, b), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(a, _x82, b), _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(b, _x42, a))) → a__f#(b, X2, a__f(b, _x42, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, b, b), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(f(mark(b), b, mark(b)), _x142, c)), _x92, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, b, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, a__f(a__f(mark(a__c), a__c, mark(a__c)), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x121, _x122, _x123)), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x112, a__f(mark(_x121), _x122, mark(_x123))), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, c), _x132, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, f(a__f(a__c, _x152, a__c), _x132, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(c, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a__c, _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(a, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__c), _x52, a__c))
mark#(f(b, X2, f(b, _x52, f(b, _x82, c)))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, c)))mark#(f(b, X2, f(f(b, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a), _x42, c))
mark#(f(b, X2, f(f(b, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x92, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x92, a__f(a__c, _x142, c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, b, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(mark(b), b, mark(b)), _x142, a__c)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x172, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(a, _x172, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(a, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, mark(_x63)), _x42, b))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x92, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x92, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x152, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(mark(_x141), _x152, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, c), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__c), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__c, _x142, a__c)), _x92, c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(f(_x121, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a__f(mark(_x121), _x122, a__c), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(a, _x162, mark(_x163)), _x152, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, b), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(a__c, _x152, b), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(a, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a, _x102, mark(_x103)), _x82, c)), _x52, a))
mark#(f(b, X2, f(c, _x52, c))) → a__f#(b, X2, f(a__c, _x52, b))mark#(f(b, X2, f(b, _x52, f(c, _x92, _x83)))) → a__f#(b, X2, f(b, _x52, f(c, _x92, mark(_x83))))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, _x143)), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x92, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(mark(_x81), _x92, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x152, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, f(b, _x152, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x92, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x92, a__f(a__c, _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, b)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x72, f(a, _x122, _x123))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(a, _x122, mark(_x123)))))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(b, _x142, b)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(b, _x142, b)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x82, f(c, _x122, _x123))))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, a__f(a__c, _x122, mark(_x123)))))mark#(f(b, X2, f(f(c, _x52, f(f(a, _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(f(a, _x112, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(b, _x92, f(a, _x132, _x133))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(a, _x132, mark(_x133)))))
mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, a), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x172, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(a, _x172, b), _x142, a__c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x72, b), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, b), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x172, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(a, _x172, mark(_x163)), _x142, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(b, _x92, f(c, _x132, _x133))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(c, _x132, mark(_x133)))))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, _x103), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(b, _x112, mark(_x103)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__c, _x142, c)), _x92, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, _x103), _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, mark(_x103)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, b), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, b), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, f(a__f(mark(a__c), a__c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__c, _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(b, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(b, _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, b), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, b), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, b, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(mark(_x63)), mark(_x63), mark(mark(_x63))), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, a))mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(c, _x62, b), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, c), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(c, _x152, a__c), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(f(a, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(a, _x82, mark(_x83)), _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x112, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__f(mark(_x121), _x122, mark(_x123)), _x112, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__f(mark(_x111), _x112, mark(_x113)), _x102, a__f(a__c, _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a, _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(_x161, _x162, _x163), _x142, _x143)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, mark(_x143))), _x82, mark(_x83))), _x52, a))
mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, b)mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(c, _x82, a__c)))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, a), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x172, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(a, _x172, a__c), _x142, c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__c), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(b, _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(a__c, _x122, c)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, a), _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(_x161, _x162, _x163), _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(mark(_x163)), mark(_x163), mark(mark(_x163))), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, b))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, b), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, f(a__f(a, _x162, b), _x152, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x142, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(f(a__c, _x142, mark(_x153)), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, f(a, _x152, _x153))), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, a__f(a, _x152, mark(_x153)))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(a, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, b), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, a)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, a)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x112, _x123))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, f(mark(_x121), _x112, mark(_x123)))))mark#(f(b, X2, f(f(c, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x152, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, f(b, _x152, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(f(_x101, _x102, _x103), _x82, a)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, a)))mark#(f(b, X2, c)) → a__f#(b, X2, b)
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(mark(a__c), a, mark(a__c)), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(mark(a__c), a__c, mark(a)), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(a__c), a__c, mark(a__c)), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(b, _x142, mark(_x143))), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, mark(_x63)), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, a), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(a, _x102, a), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a, _x102, a), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(b, _x142, c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, f(c, _x142, _x143)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, a__f(a__c, _x142, mark(_x143))))))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a__c), _x102, a__c), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(a, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a, _x142, c)), _x92, b)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(mark(_x141), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(c, _x42, a))) → a__f#(b, X2, a__f(a__c, _x42, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a), _x142, c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(mark(_x81), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(_x131, _x132, _x133), _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(a__f(mark(_x131), _x132, mark(_x133)), _x142, b)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, b, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__f(mark(a__c), a__c, mark(a__c)), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(b), b, mark(b)), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(a, _x102, f(_x141, _x142, _x143)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, mark(_x103)), _x92, a__c)), _x52, a))
mark#(f(c, X2, c)) → a__f#(a__c, X2, a__c)mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, c))mark#(f(b, X2, f(b, _x52, f(b, _x92, _x83)))) → a__f#(b, X2, f(b, _x52, f(b, _x92, mark(_x83))))
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, mark(_x63)), _x52, b))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, b))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(f(mark(a__c), a__c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x81), _x82, mark(_x83)), _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(a, _x162, a__c), _x152, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(a, _x112, f(f(c, _x152, c), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(f(a, _x112, a__f(a__f(a__c, _x152, a__c), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, b), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x92, c)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x72, c)))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__c)))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(a, _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(a, _x152, mark(_x153)), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(a, _x162, b), _x152, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x52, f(_x81, _x82, a)))) → a__f#(b, X2, f(b, _x52, a__f(mark(_x81), _x82, a)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x92, c)), _x52, a))mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(b, _x42, mark(_x43)))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(a, _x162, a), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, b), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(mark(_x141), _x142, b)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, b, b), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(a__f(b, b, mark(b)), _x142, c)), _x92, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x92, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x92, a__f(mark(_x141), _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(a, _x82, a__c)))mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, a), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x152, a)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(b, _x152, a)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__f(mark(_x111), _x112, mark(_x113)), _x102, f(a__f(a, _x162, c), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(c, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__f(a__c, _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(b, _x82, f(_x121, _x122, _x123))), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(b, _x82, a__f(mark(_x121), _x122, mark(_x123)))), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x92, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x132, b)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, f(mark(_x141), _x132, b)), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(c, _x142, c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__f(mark(_x81), _x82, a__c)), _x52, c))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x112, f(_x141, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a__c, _x112, a__f(mark(_x141), _x142, b)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, f(b, _x152, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(b, _x102, f(b, _x152, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a__c), _x102, a__c), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x92, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(b, _x92, f(a__f(mark(a__c), a__c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, c), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(a__c, _x152, a__c), _x142, b)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x122, f(_x151, _x152, _x153))), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(mark(_x141), _x122, a__f(mark(_x151), _x152, mark(_x153)))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(a, _x162, a), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(c, _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, a__f(a__c, _x142, c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, c), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(a__c, _x152, b), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(c, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(b, _x102, f(a__f(a, _x162, a__c), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x72, c), _x52, c))) → a__f#(b, X2, f(f(a__f(mark(_x71), _x72, mark(_x73)), _x72, a), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(f(a, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(a, _x122, mark(_x123)), _x102, a__c), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(b, _x102, f(a__f(mark(c), a__c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(a__c, _x122, c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(a, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(a__c, _x152, mark(_x153)), _x142, b)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(mark(_x81), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, b)) → a__f#(b, X2, b)mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, f(_x151, _x152, f(_x191, _x192, _x193)))), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, a__f(mark(_x151), _x152, a__f(mark(_x191), _x192, mark(_x193))))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(c, _x52, _x43))) → a__f#(b, X2, f(a__c, _x52, mark(_x43)))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(b, _x122, f(_x141, _x142, _x143)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(b, _x122, a__f(mark(_x141), _x142, mark(_x143))))))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a, _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(a, _x162, c), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(a, _x162, b), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(mark(a), a__c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(b), b, b), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, a)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, a)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, a), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(mark(_x141), _x152, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(a, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__f(a, _x82, mark(_x83))), _x52, c))mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a), _x52, b))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(a__c, a__c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(mark(_x101), _x102, f(a__f(a, _x162, c), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x112, _x103), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a__f(mark(_x111), _x112, mark(_x113)), _x112, mark(_x103)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, f(_x181, _x182, _x183))), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(b, _x142, a__f(mark(_x181), _x182, mark(_x183)))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x152, _x143)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, f(mark(_x141), _x152, mark(_x143))), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, b, b), _x52, c))) → a__f#(b, X2, f(f(mark(b), b, b), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x82, f(_x121, _x122, _x123))))) → a__f#(b, X2, a__f(b, _x42, a__f(c, _x82, a__f(mark(_x121), _x122, mark(_x123)))))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(b, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(b, _x122, a__c), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(b, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(b, _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(a__f(mark(a__c), a, mark(a__c)), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(a__f(mark(a__c), a__c, mark(a)), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(mark(c), a__c, mark(c)), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(mark(c), c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x152, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, f(mark(_x141), _x152, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, b, _x103), _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(mark(_x103)), mark(_x103), mark(mark(_x103))), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(c, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(a__c, _x142, mark(_x143))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(b), b, mark(b)), _x42, b))mark#(f(b, X2, f(f(c, b, b), _x52, c))) → a__f#(b, X2, f(f(b, b, mark(b)), _x52, a))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, b), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x152, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, f(mark(_x141), _x152, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, a)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(b, _x142, a)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, a))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, a))))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, a__f(a__f(a, _x162, b), _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, b), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, c), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, a), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(a__c, _x152, a), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x142, b)), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(mark(_x141), _x142, b)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, mark(_x83))), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(a, _x102, _x103), _x82, b)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a, _x102, mark(_x103)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(b, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(b, _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(a, _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(a, _x82, mark(_x83))))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(a, _x162, a__c), _x142, c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x92, f(_x131, _x132, _x133))))) → a__f#(b, X2, a__f(b, _x42, f(c, _x92, a__f(mark(_x131), _x132, mark(_x133)))))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, mark(_x103)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, f(_x181, _x182, _x183))), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__f(mark(_x181), _x182, mark(_x183)))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, a__c), _x42, c))
mark#(f(b, X2, f(f(_x61, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c))mark#(f(b, X2, f(f(_x61, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(b, _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(b, _x82, a__c)), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, f(b, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(b, _x102, a__f(b, _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(c, _x142, b)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__c, _x142, b)), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x172, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(f(a, _x172, b), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x112, b), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a__f(mark(_x111), _x112, mark(_x113)), _x112, b), _x92, a)), _x52, a))mark#(f(b, X2, f(f(f(_x81, _x82, b), _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x81), _x82, b), _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, c)), _x52, a))mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a), _x42, c))
mark#(f(b, X2, f(b, _x42, f(_x81, _x82, f(_x121, _x122, _x123))))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, a__f(mark(_x121), _x122, mark(_x123)))))mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, b), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(c, _x152, mark(_x153)), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(a, X2, c)) → a__f#(a, X2, a__c)
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, c)), _x92, a__c)), _x52, a))mark#(f(X1, X2, f(_x41, _x42, _x43))) → a__f#(mark(X1), X2, a__f(mark(_x41), _x42, mark(_x43)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(b, _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(b, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(b, _x52, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(_x151, _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(mark(_x151), _x152, mark(_x153)), _x142, b)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(mark(_x141), _x122, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__f(mark(_x81), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(mark(_x101), _x102, a__f(a__c, _x142, c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x152, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, f(mark(_x141), _x152, mark(_x143))), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__c), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x112, a__f(mark(_x141), _x142, mark(_x143))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__c, _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(_x151, _x152, _x153), _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x112, a__f(a__f(mark(_x151), _x152, mark(_x153)), _x142, b)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(b, _x152, mark(_x153)), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, a__f(a, _x142, c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(a, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, b)), _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, b)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x152, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, f(b, _x152, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x52, f(c, _x82, f(_x121, _x122, _x123))))) → a__f#(b, X2, f(b, _x52, a__f(a__c, _x82, a__f(mark(_x121), _x122, mark(_x123)))))
mark#(f(b, X2, f(f(c, _x62, f(a, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a, _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, a__c), _x52, b))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x132, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(f(mark(_x121), _x132, mark(_x123)), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x82, f(_x121, _x122, _x123))), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, a__f(mark(_x121), _x122, mark(_x123)))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(_x131, _x132, _x133), _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__f(mark(_x131), _x132, mark(_x133)), _x142, mark(_x143))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x92, b)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, mark(_x103)), _x92, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__f(mark(_x111), _x112, mark(_x113)), _x102, f(a__f(mark(a__c), a__c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a), _x142, a__c)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x72, c), _x52, c))) → a__f#(b, X2, f(f(c, _x72, a), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, mark(_x103)), _x82, a)), _x52, a))mark#(f(c, X2, c)) → a__f#(c, X2, a)
mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, b))mark#(f(b, X2, f(f(b, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a), _x52, a__c))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x82, c)))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, a)))mark#(f(b, X2, f(b, _x42, f(c, _x92, _x83)))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, mark(_x83))))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(b, _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(a, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a), _x42, a__c))
mark#(f(a, X2, c)) → a__f#(a, X2, b)mark#(f(b, X2, f(f(c, _x52, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(mark(_x81), _x82, mark(_x83))), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, f(f(_x161, _x162, _x163), _x142, _x143)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, mark(_x143))))))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(a, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a, _x102, mark(_x103)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, a), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(a, _x162, a), _x152, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(a, _x162, a__c), _x152, c)), _x82, a)), _x52, a))
mark#(f(f(_x21, _x22, _x23), X2, X3)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, mark(X3))mark#(f(b, X2, f(b, _x52, f(c, _x82, c)))) → a__f#(b, X2, f(b, _x52, a__f(a__c, _x82, a__c)))
mark#(f(b, X2, f(b, _x42, f(c, _x82, a)))) → a__f#(b, X2, a__f(b, _x42, a__f(c, _x82, a)))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(a, _x162, a), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x121, _x122, _x123)), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(mark(_x121), _x122, mark(_x123))), _x92, a)), _x52, a))mark#(f(f(_x21, _x22, _x23), X2, b)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, b)
mark#(f(b, X2, f(f(_x61, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x151, _x152, _x153)), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x151), _x152, mark(_x153))), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, c), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(a__c, _x152, a__c), _x142, b)), _x82, b)), _x52, a))mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(c, _x42, mark(_x43)))
mark#(f(b, X2, f(f(c, _x52, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(f(a, _x52, a__f(mark(_x81), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, c), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, c), _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x112, a__f(a__f(a__c, _x152, a__c), _x142, b)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, b, b), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(a__f(mark(b), b, b), _x142, c)), _x92, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x142, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(f(a, _x142, a__c), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a), _x52, a__c))mark#(f(b, X2, f(f(f(_x81, _x82, b), _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, b), _x62, a), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__f(mark(_x81), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x142, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(f(a, _x142, c), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(b, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(b, _x122, mark(_x123)), _x102, a__c), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, mark(_x103)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(b, _x92, f(_x131, _x132, a))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(mark(_x131), _x132, a))))mark#(f(b, X2, f(f(c, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(a__c, _x72, mark(_x63)), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(mark(_x161), _x162, mark(_x163)), _x152, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, b, f(f(a, b, b), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(a__f(a__f(mark(b), b, mark(b)), _x142, c)), a__f(a__f(mark(b), b, mark(b)), _x142, c), mark(a__f(a__f(mark(b), b, mark(b)), _x142, c))), _x92, c)), _x52, a))
mark#(f(b, X2, f(f(b, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(c, _x142, c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x92, _x83)))) → a__f#(b, X2, a__f(b, _x42, f(a__c, _x92, mark(_x83))))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(mark(_x101), _x102, a__f(a__c, _x142, c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(b, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__c), _x52, a__c))mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(b, _x52, mark(_x63)), _x52, c))
mark#(f(b, X2, f(f(a, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x112, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(f(mark(_x101), _x112, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x131, _x132, _x133), _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__f(mark(_x131), _x132, mark(_x133)), _x112, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x92, a)))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a)))mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(b, _x142, b)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(b, _x142, b)), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, b, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(mark(_x103)), mark(_x103), mark(mark(_x103))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, b), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__f(mark(_x111), _x112, mark(_x113)), _x102, a__f(a__c, _x142, c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x172, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(mark(_x161), _x172, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(f(_x81, _x92, b), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(f(mark(_x81), _x92, b), _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(c, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__c, _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(b, _x42, f(b, _x92, c)))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__c)))
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a__c), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(_x151, _x152, _x153), _x132, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, f(a__f(mark(_x151), _x152, mark(_x153)), _x132, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x112, _x103), _x92, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a__c, _x112, mark(_x103)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, b), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(b, _x152, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, f(b, _x152, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, b), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, b))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, b))))
mark#(f(b, X2, f(b, _x42, f(c, _x92, a)))) → a__f#(b, X2, a__f(b, _x42, f(c, _x92, a)))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, f(_x181, _x182, _x183))), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, a__f(mark(_x181), _x182, mark(_x183)))), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x92, b)), _x52, a))mark#(f(b, X2, f(f(b, _x72, f(_x111, _x112, _x113)), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__f(mark(_x111), _x112, mark(_x113))), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, a__f(mark(_x141), _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(c, _x142, b)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__c, _x142, b)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, b, f(_x141, _x142, _x143)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(a__f(mark(_x141), _x142, mark(_x143))), a__f(mark(_x141), _x142, mark(_x143)), mark(a__f(mark(_x141), _x142, mark(_x143)))), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(b, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, c), _x42, c))
mark#(f(b, X2, f(a, _x42, c))) → a__f#(b, X2, a__f(a, _x42, a__c))mark#(f(b, X2, f(f(c, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, b), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, a), _x142, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, a), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, a), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x102, c), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__f(mark(_x121), _x122, a__c), _x102, a__c), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, b, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(a__f(a__f(a, _x162, b), _x142, a__c)), a__f(a__f(a, _x162, b), _x142, a__c), mark(a__f(a__f(a, _x162, b), _x142, a__c))), _x82, c)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, f(_x141, _x142, a)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, a__f(mark(_x141), _x142, a)))))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x92, f(_x141, _x142, f(_x151, _x152, _x153))), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(b, _x92, a__f(mark(_x141), _x142, a__f(mark(_x151), _x152, mark(_x153)))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(a, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a, _x82, mark(_x83))), _x52, c))
mark#(f(c, X2, c)) → a__f#(b, X2, a)mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__f(mark(_x111), _x112, mark(_x113)), _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x92, a)), _x52, a))mark#(f(b, X2, f(_x41, _x52, _x43))) → a__f#(b, X2, f(mark(_x41), _x52, mark(_x43)))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, b, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(mark(b), b, mark(b)), _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(b, _x92, f(_x131, _x132, c))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(mark(_x131), _x132, a__c))))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, b), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, f(a__f(a, _x162, b), _x152, a__c)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x112, a__f(mark(_x141), _x142, b)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__c), _x82, mark(_x83))), _x52, a))mark#(f(X1, X2, c)) → a__f#(mark(X1), X2, c)
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, a__f(a__f(a, _x162, a), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(a__f(mark(a__c), a__c, mark(b)), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(a__f(mark(a__c), b, mark(a__c)), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(f(_x141, _x142, _x143), _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(a__f(mark(_x141), _x142, mark(_x143)), _x122, mark(_x123)), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, mark(_x63)), _x52, b))
mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, c), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(_x161, _x162, _x163), _x142, b)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, b)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, a__f(a__f(a, _x162, b), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(c, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(b, _x82, mark(_x83))), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, mark(_x103)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x92, f(_x131, _x132, _x133))))) → a__f#(b, X2, f(b, _x52, f(b, _x92, a__f(mark(_x131), _x132, mark(_x133)))))mark#(f(b, X2, f(b, _x52, f(_x81, _x92, a)))) → a__f#(b, X2, f(b, _x52, f(mark(_x81), _x92, a)))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x112, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a__f(mark(_x111), _x112, mark(_x113)), _x112, a__f(mark(_x141), _x142, mark(_x143))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, b)), _x82, f(_x121, _x122, _x123))), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, b)), _x82, a__f(mark(_x121), _x122, mark(_x123)))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, mark(_x103)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x92, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, f(mark(_x81), _x92, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(_x151, _x152, _x153), _x142, b)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(mark(_x151), _x152, mark(_x153)), _x142, b)), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, a__c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, b), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, b), _x82, a)), _x52, a))mark#(f(b, X2, f(f(a, b, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(mark(_x63)), mark(_x63), mark(mark(_x63))), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(a, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a, _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(mark(c), a__c, mark(a)), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(mark(c), a, mark(a__c)), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, mark(_x63)), _x52, b))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a, _x142, c)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x131, _x132, _x133), _x112, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__f(mark(_x131), _x132, mark(_x133)), _x112, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, c), _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__c), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x172, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(a, _x172, b), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, b), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, a__c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x82, _x83)))) → a__f#(b, X2, a__f(b, _x42, a__f(a, _x82, mark(_x83))))mark#(f(b, X2, f(f(b, _x72, c), _x52, c))) → a__f#(b, X2, f(f(b, _x72, a), _x52, c))
mark#(f(b, X2, f(f(f(_x71, _x72, _x73), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x71), _x72, mark(_x73)), _x62, mark(_x63)), _x52, a))mark#(f(b, X2, f(f(b, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(b, _x42, f(b, _x92, f(c, _x112, _x133))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, f(a__c, _x112, mark(_x133)))))mark#(f(b, X2, f(b, _x42, f(c, _x82, a)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, a)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, b)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, a), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a), _x52, a__c))
mark#(f(b, X2, f(f(f(c, _x82, b), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(a__c, _x82, b), _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(a, b, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(b), b, mark(b)), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x122, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(mark(_x141), _x122, mark(_x143))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x152, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(b, _x152, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, f(a__f(a, _x162, a__c), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x112, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__c, _x112, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(a, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(c, _x42, _x43))) → a__f#(b, X2, a__f(a, _x42, mark(_x43)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(a, _x162, mark(_x163)), _x152, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__c), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, b), _x42, c))mark#(f(b, X2, f(f(a, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a, _x72, a), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__c), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, f(_x141, _x142, f(_x181, _x182, _x183))))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, a__f(mark(_x141), _x142, a__f(mark(_x181), _x182, mark(_x183)))))))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, b), _x42, b))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a, _x152, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__c), _x92, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(mark(_x101), _x102, f(a__f(a, _x162, a__c), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__c), _x52, c))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(mark(_x101), _x102, a__f(a__c, _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, c), _x142, c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__f(mark(_x111), _x112, mark(_x113)), _x102, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(c, _x92, a)))) → a__f#(b, X2, f(b, _x52, f(a__c, _x92, a)))mark#(f(b, X2, f(f(c, _x62, f(f(a, b, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(mark(_x103)), mark(_x103), mark(mark(_x103))), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(c, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__f(a__c, _x82, mark(_x83))), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x132, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(f(mark(_x121), _x132, mark(_x123)), _x102, a__c), _x82, c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, b)))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, f(a, _x142, _x143)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, a__f(a, _x142, mark(_x143))))))
mark#(f(b, X2, f(b, _x52, f(b, _x92, b)))) → a__f#(b, X2, f(b, _x52, f(b, _x92, b)))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a, _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, b)), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, b)), _x82, a)), _x52, a))
mark#(f(a, X2, X3)) → a__f#(a, X2, mark(X3))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x132, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(f(a, _x132, a__c), _x142, a__c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x72, a__c), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__c), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(b, _x102, f(a__f(mark(a__c), a__c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(b, _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(mark(_x161), _x162, mark(_x163)), _x152, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(c, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__c, _x142, mark(_x143))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(mark(_x141), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, f(_x151, _x152, _x153))), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, a__f(mark(_x151), _x152, mark(_x153)))), _x92, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__c, _x142, b)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, a__c), _x142, c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(c, _x82, a)))) → a__f#(b, X2, a__f(b, _x42, a__f(b, _x82, a)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x142, b)), _x92, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x112, a__f(mark(_x141), _x142, b)), _x92, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x111, _x112, _x113), _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__f(mark(_x111), _x112, mark(_x113)), _x102, f(a__f(a, _x162, a__c), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x92, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(a__f(mark(c), c, mark(c)), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(a, _x162, c), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(b, _x102, a__f(a__f(a, _x162, b), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__f(mark(_x81), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(a, _x142, b)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a, _x142, b)), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(b, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(b, _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(mark(_x101), _x102, f(a__f(mark(a__c), a__c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(a, _x112, f(_x141, _x142, b)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(f(a, _x112, a__f(mark(_x141), _x142, b)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x112, f(_x141, _x142, _x143)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, f(mark(_x121), _x112, a__f(mark(_x141), _x142, mark(_x143))))))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x112, f(_x141, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, b)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(a__c, _x152, mark(_x153)), _x142, b)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(c, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(a__c, _x122, mark(_x123)), _x102, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(a__c, _x102, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(f(mark(a__c), a__c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, a), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__c), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x122, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, f(mark(_x141), _x122, mark(_x143))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(f(b, _x82, b), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(b, _x82, b), _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(b, _x42, f(c, _x82, f(a, _x122, _x123))))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, a__f(a, _x122, mark(_x123)))))
mark#(f(b, X2, f(f(c, _x62, f(b, _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(b, _x82, b)), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, f(mark(_x141), _x152, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x151, _x152, _x153)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x151), _x152, mark(_x153))), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, b), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, b), _x102, a__c), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x92, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(b, _x92, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, b), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, c), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(b, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, b), _x42, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, mark(_x143))), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(c, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(a__c, _x122, a__c), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, mark(_x103)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x172, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(f(a, _x172, b), _x142, c)), _x82, c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(b, _x82, b)))) → a__f#(b, X2, a__f(b, _x42, a__f(b, _x82, b)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, mark(_x103)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(a, _x162, a__c), _x142, c)), _x82, a)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x82, f(_x101, _x102, _x103))))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, a__f(mark(_x101), _x102, mark(_x103)))))
mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(b), b, b), _x42, c))mark#(f(b, X2, f(f(a, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, b))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x172, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(a, _x172, a), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a, _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(_x131, _x132, _x133), _x142, f(_x151, _x152, _x153))), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__f(mark(_x131), _x132, mark(_x133)), _x142, a__f(mark(_x151), _x152, mark(_x153)))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(a, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a, _x72, c), _x52, c))
mark#(f(b, X2, f(f(a, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(_x161, _x162, _x163), _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(_x131, _x132, _x133), _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(a__f(mark(_x131), _x132, mark(_x133)), _x142, mark(_x143))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, a__f(a__c, _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, b), _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, b), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(a, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__f(a, _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, b), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x172, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(f(a, _x172, b), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, b), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(a, _x162, b), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(_x161, _x162, _x163), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, mark(_x63)), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, f(f(_x171, _x172, _x173), _x152, _x153))), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, a__f(a__f(mark(_x171), _x172, mark(_x173)), _x152, mark(_x153)))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(b), b, mark(b)), _x42, b))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, f(_x151, _x152, a))), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, a__f(mark(_x151), _x152, a))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, f(_x201, _x202, _x203)), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__f(mark(_x201), _x202, mark(_x203))), _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, b, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(mark(b), b, mark(b)), _x142, c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(c, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(a__c, _x42, a__f(mark(_x81), _x82, mark(_x83))))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x112, _x103), _x92, a)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(f(mark(_x101), _x112, mark(_x103)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, b), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(mark(a__c), a__c, mark(a__c)), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, f(_x151, _x152, b))), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, a__f(mark(_x151), _x152, b))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(b), b, mark(b)), _x42, a))
mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, b), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(f(_x181, _x182, _x183), _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a__f(mark(_x181), _x182, mark(_x183)), _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x72, f(c, _x122, f(_x141, _x142, _x143)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(a__c, _x122, a__f(mark(_x141), _x142, mark(_x143))))))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x92, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(b, _x92, a__f(mark(_x141), _x142, mark(_x143))), _x92, a__c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(b, _x92, f(f(_x121, _x122, _x123), _x132, _x133))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(a__f(mark(_x121), _x122, mark(_x123)), _x132, mark(_x133)))))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, b), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(f(c, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(a__c, _x122, mark(_x123)), _x102, a__c), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x112, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__f(mark(_x121), _x122, a__c), _x112, a__c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x152, a)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(b, _x152, a)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(b, _x42, c))) → a__f#(b, X2, a__f(b, _x42, a__c))
mark#(f(b, X2, f(b, _x42, f(c, _x92, f(_x121, _x122, _x123))))) → a__f#(b, X2, a__f(b, _x42, f(a__c, _x92, a__f(mark(_x121), _x122, mark(_x123)))))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, _x103), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, mark(_x103)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, b), _x42, c))mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, b), _x52, b))
mark#(f(b, X2, f(f(c, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, b), _x42, b))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(c, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__c, _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x152, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, f(b, _x152, a)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, b), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(f(b, _x82, _x83), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(b, _x82, mark(_x83)), _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(a, _x52, a))) → a__f#(b, X2, f(a, _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, b), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, b, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__f(mark(b), b, mark(b)), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(a__f(mark(c), a__c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(c, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a, _x82, mark(_x83))), _x52, c))
mark#(f(b, X2, f(f(c, b, b), _x52, c))) → a__f#(b, X2, f(f(mark(b), b, mark(b)), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(a__f(a, _x162, a), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(a, _x162, b), _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(a, _x122, f(_x141, _x142, _x143)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(a, _x122, a__f(mark(_x141), _x142, mark(_x143))))))
mark#(f(b, X2, f(f(c, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x72, c), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, b), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, b), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(mark(_x141), _x142, b)), _x82, b)), _x52, a))mark#(f(a, X2, c)) → a__f#(a, X2, a)
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x152, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(a__f(a, _x162, b), _x152, a__c)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, a), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a), _x142, a)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(b, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__f(b, _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, _x43))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, mark(_x43)))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(f(mark(c), a__c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(a__c, _x122, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, c), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(b, _x92, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(b, _x92, mark(_x83))), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, c), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(a, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, mark(_x63)), _x42, a))
mark#(f(b, X2, f(f(c, _x52, f(f(a, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(a, _x72, b), _x52, c))) → a__f#(b, X2, f(f(a, _x72, b), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, _x153), _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a, _x112, a__f(a__f(a__c, _x152, mark(_x153)), _x142, b)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, c), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__c), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a, _x142, c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(_x151, _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(mark(_x151), _x152, mark(_x153)), _x142, b)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, b), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, b), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(mark(_x141), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(b), b, b), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, a), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, a), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a), _x102, a__c), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(b, _x112, a__f(mark(_x141), _x142, mark(_x143))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x72, c), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, c), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x142, _x143)), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, a__c), _x102, b), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, mark(_x103)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(a__f(a, _x162, a__c), _x122, a__c)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(mark(_x141), _x142, b)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, f(_x181, _x182, _x183))), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, a__f(mark(_x181), _x182, mark(_x183)))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x92, a)))) → a__f#(b, X2, f(b, _x52, f(b, _x92, a)))
mark#(f(b, X2, f(f(c, b, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(a__f(mark(_x81), _x82, mark(_x83))), a__f(mark(_x81), _x82, mark(_x83)), mark(a__f(mark(_x81), _x82, mark(_x83)))), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(f(_x131, _x132, _x133), _x122, _x123))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(a__f(mark(_x131), _x132, mark(_x133)), _x122, mark(_x123)))))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x132, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, a__f(f(a, _x132, a__c), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, f(_x151, _x152, _x153))), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(b, _x142, a__f(mark(_x151), _x152, mark(_x153)))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, b)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(a, b, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(c), c, mark(c))), _x82, b)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x82, b)))) → a__f#(b, X2, a__f(b, _x42, a__f(c, _x82, b)))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, f(a__f(a, _x162, a__c), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, b), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, f(a__f(a, _x162, b), _x122, c)), _x92, c)), _x52, a))mark#(f(b, X2, f(f(a, _x72, c), _x52, c))) → a__f#(b, X2, f(f(a, _x72, a__c), _x52, a__c))
mark#(f(b, X2, f(b, _x42, f(c, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, c)))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(a, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a, _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(a, _x102, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a, _x102, mark(_x103)), _x82, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, a__c), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(b, _x142, c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a__c)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(c, _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__c, _x82, a__c)), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, _x143)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(_x151, _x152, a), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(mark(_x151), _x152, a), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__c, _x112, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(c, _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__c, _x82, b)), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, a), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(c, _x52, a), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, a), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(a__c, _x142, c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(f(a, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a__f(a, _x162, a), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x92, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, mark(_x103)), _x92, mark(_x83))), _x52, a))
mark#(f(b, X2, f(b, _x42, f(b, _x92, f(b, _x132, _x133))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(b, _x132, mark(_x133)))))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x152, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, f(mark(_x141), _x152, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(b, _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(mark(_x81), _x82, a)), _x52, c))
mark#(f(b, X2, f(f(c, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, a))mark#(f(b, X2, f(b, _x42, f(b, _x92, f(c, _x132, _x133))))) → a__f#(b, X2, a__f(b, _x42, f(b, _x92, a__f(b, _x132, mark(_x133)))))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(c, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a__c, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(b, _x102, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x122, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, f(mark(_x141), _x122, b)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(_x151, _x152, f(_x171, _x172, _x173)), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(a__f(mark(_x151), _x152, a__f(mark(_x171), _x172, mark(_x173))), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(a, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(mark(a__c), a__c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(a, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, mark(_x63)), _x42, a))mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, a__c))
mark#(f(b, X2, f(b, _x52, f(b, _x72, f(_x121, _x122, f(b, _x142, _x143)))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(mark(_x121), _x122, a__f(b, _x142, mark(_x143))))))mark#(f(b, X2, f(b, _x52, f(c, _x82, _x83)))) → a__f#(b, X2, f(b, _x52, a__f(c, _x82, mark(_x83))))
mark#(f(b, X2, f(b, _x42, f(c, _x82, b)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, b)))mark#(f(b, X2, f(b, _x42, f(f(_x111, _x112, _x113), _x92, a)))) → a__f#(b, X2, a__f(b, _x42, f(a__f(mark(_x111), _x112, mark(_x113)), _x92, a)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x92, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(mark(_x141), _x142, a)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, mark(_x63)), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, mark(_x163)), _x142, c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, b), _x42, a__c))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, _x103), _x82, _x83)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, mark(_x83))), _x52, a))
mark#(f(b, X2, f(f(_x61, _x72, _x63), _x52, c))) → a__f#(b, X2, f(f(mark(_x61), _x72, mark(_x63)), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, f(a__f(mark(b), a__c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(a, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a, _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(a, _x112, _x103), _x92, a)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(f(a, _x112, mark(_x103)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(f(_x91, _x92, _x93), _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a__f(mark(_x91), _x92, mark(_x93)), _x72, a), _x42, c))mark#(f(b, X2, f(f(c, _x52, f(f(a, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(a, _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(mark(_x81), _x82, b)), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__c, _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__f(a, _x162, a), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, _x103), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, mark(_x103)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x112, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a__c, _x112, a__f(mark(_x141), _x142, mark(_x143))), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, _x103), _x82, f(_x121, _x122, _x123))), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, mark(_x103)), _x82, a__f(mark(_x121), _x122, mark(_x123)))), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, a)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(b, _x42, f(b, _x82, f(_x121, _x122, _x123))))) → a__f#(b, X2, a__f(b, _x42, a__f(b, _x82, a__f(mark(_x121), _x122, mark(_x123)))))
mark#(f(b, X2, f(f(c, _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, mark(_x63)), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, _x143)), _x82, b)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(c, _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, c))mark#(f(f(_x21, _x22, _x23), X2, c)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a)
mark#(f(b, X2, f(f(c, _x52, c), _x52, c))) → a__f#(b, X2, f(f(a__c, _x52, a__c), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__c), _x142, b)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x52, _x63), _x52, c))) → a__f#(b, X2, f(f(a, _x52, mark(_x63)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, b)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__f(mark(_x81), _x82, a)), _x52, c))mark#(f(b, X2, f(f(_x61, _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, a__c))
mark#(f(b, X2, f(f(_x61, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, c), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, b)), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(_x61, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(mark(_x61), _x72, a__c), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a__c)), _x92, a)), _x52, a))
mark#(f(b, X2, f(b, _x52, b))) → a__f#(b, X2, f(b, _x52, b))mark#(f(b, X2, f(f(c, _x52, f(f(b, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x82, b)), _x52, a))mark#(f(c, X2, c)) → a__f#(a, X2, a)
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(b, _x152, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, f(b, _x152, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x72, _x63), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, mark(_x63)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, b), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, b), _x52, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(c, _x92, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(a__c, _x92, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(a, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a, _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(a__f(a, _x162, a__c), _x142, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, _x143)), _x92, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x92, mark(_x83))), _x52, a))mark#(f(b, X2, f(f(c, _x72, a), _x42, c))) → a__f#(b, X2, a__f(f(a__c, _x72, a), _x42, c))
mark#(f(b, X2, f(f(c, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, b), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(a, _x142, f(_x151, _x152, _x153))), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a, _x142, a__f(mark(_x151), _x152, mark(_x153)))), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__c, _x142, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(b, _x142, mark(_x143))), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, f(a__f(a, _x162, c), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(f(_x81, _x82, b), _x62, f(_x101, _x102, _x103)), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, b), _x62, a__f(mark(_x101), _x102, mark(_x103))), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, f(_x121, _x122, _x123))), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(mark(_x81), _x82, a__f(mark(_x121), _x122, mark(_x123)))), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(_x141, _x142, a)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(mark(_x141), _x142, a)), _x92, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(a, _x142, c)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, _x103), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, mark(_x103)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x92, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(b, _x92, f(a__f(mark(c), a__c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x152, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, f(mark(_x141), _x152, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(a, _x62, b), _x42, c))) → a__f#(b, X2, a__f(a__f(a, _x62, b), _x42, b))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, mark(_x143))), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(c, _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a, _x142, c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(a, _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a, _x142, a__c)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(f(_x181, _x182, _x183), _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a__f(mark(_x181), _x182, mark(_x183)), _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, b), _x82, a)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, b), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x142, c), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, a__f(f(a__c, _x142, a__c), _x142, b)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(a, _x112, f(f(c, _x152, _x153), _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(f(a, _x112, a__f(a__f(a__c, _x152, mark(_x153)), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a__c, _x102, a__f(a__f(a, _x162, c), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__c), _x82, a)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x72, a)))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a)))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, f(_x121, _x122, _x123))), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(mark(_x81), _x82, a__f(mark(_x121), _x122, mark(_x123)))), _x52, c))
mark#(f(b, X2, f(f(b, _x72, b), _x42, c))) → a__f#(b, X2, a__f(f(b, _x72, b), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__c, _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, a__c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(b, _x52, f(b, _x72, f(c, _x122, _x123))))) → a__f#(b, X2, f(b, _x52, f(b, _x72, a__f(a__c, _x122, mark(_x123)))))
mark#(f(b, X2, f(f(f(_x81, _x82, b), _x62, _x63), _x52, c))) → a__f#(b, X2, f(a__f(a__f(mark(_x81), _x82, b), _x62, mark(_x63)), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(c, _x42, b))) → a__f#(b, X2, a__f(a__c, _x42, b))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(a__f(mark(a), a__c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x132, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(f(a, _x132, a__c), _x142, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(f(_x81, _x82, b), _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, b), _x62, a__c), _x42, c))
mark#(f(b, X2, f(b, _x42, f(f(_x101, _x102, _x103), _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(a__f(mark(_x101), _x102, mark(_x103)), _x82, a__c)))mark#(f(b, X2, f(f(c, _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__c, _x62, mark(_x63)), _x42, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__c, _x142, c)), _x92, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__c), _x82, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x132, b), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(f(a, _x132, b), _x142, c)), _x92, c)), _x52, a))mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, b), _x82, a)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, b), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(f(_x81, _x82, c), _x62, _x63), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, a__c), _x62, mark(_x63)), _x42, c))mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(f(mark(b), b, b), _x42, a))
mark#(f(b, X2, f(a, _x52, f(_x91, _x92, _x93)))) → a__f#(b, X2, f(a, _x52, a__f(mark(_x91), _x92, mark(_x93))))mark#(f(b, X2, f(b, _x42, f(_x81, _x82, c)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, b)))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(a__f(mark(a__c), a__c, mark(c)), _x122, b)), _x92, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, b, c), _x122, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, f(a__f(mark(a__c), c, mark(a__c)), _x122, b)), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, f(_x201, _x202, _x203)), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__f(mark(_x201), _x202, mark(_x203))), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(_x61, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(mark(_x61), _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, a__c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, b)), _x92, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a__f(mark(_x141), _x142, b)), _x92, mark(_x83))), _x52, a))mark#(f(b, X2, f(b, _x42, f(_x81, _x82, b)))) → a__f#(b, X2, a__f(b, _x42, a__f(mark(_x81), _x82, b)))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(b, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(b, _x142, b)), _x82, a__c)), _x52, a))
mark#(f(f(_x21, _x22, _x23), X2, a)) → a__f#(a__f(mark(_x21), _x22, mark(_x23)), X2, a)mark#(f(b, X2, f(f(c, _x52, f(f(a, _x102, f(f(a, b, b), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, f(a__f(a, _x102, a__f(a__f(mark(b), b, mark(b)), _x142, c)), _x92, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(f(a, _x162, b), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__f(a, _x162, b), _x142, c)), _x92, a__c)), _x52, a))mark#(f(b, X2, f(f(c, b, b), _x42, c))) → a__f#(b, X2, a__f(f(b, b, mark(b)), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(a, _x162, b), _x142, a)), _x82, c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(b, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(b, _x142, a)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, c), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, b), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(b, _x102, a__f(a__c, _x142, a__c)), _x92, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, a), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(f(_x81, _x82, _x83), _x62, a), _x42, c))) → a__f#(b, X2, a__f(a__f(a__f(mark(_x81), _x82, mark(_x83)), _x62, a), _x42, c))
mark#(f(b, X2, f(f(c, _x52, f(f(_x101, _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(a__f(mark(_x101), _x102, a__c), _x82, a__c)), _x52, a))mark#(f(b, X2, f(a, _x42, f(_x81, _x82, _x83)))) → a__f#(b, X2, a__f(a, _x42, a__f(mark(_x81), _x82, mark(_x83))))
mark#(f(b, X2, f(f(b, _x62, c), _x42, c))) → a__f#(b, X2, a__f(a__f(b, _x62, a__c), _x42, a__c))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(c, _x142, _x143)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(a__c, _x142, mark(_x143))), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(c, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__c, _x102, mark(_x103)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, a), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a), _x82, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(_x141, _x142, b)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(f(mark(_x101), _x112, a__f(mark(_x141), _x142, b)), _x92, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(c, _x82, f(_x121, _x122, _x123))), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__c, _x82, a__f(mark(_x121), _x122, mark(_x123)))), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__c), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(b, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__f(b, _x82, mark(_x83))), _x52, c))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(_x141, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(mark(_x141), _x142, a)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x92, b)))) → a__f#(b, X2, a__f(b, _x42, f(c, _x92, b)))mark#(f(b, X2, f(f(a, _x72, c), _x42, c))) → a__f#(b, X2, a__f(f(a, _x72, a__c), _x42, c))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(_x161, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(mark(_x161), _x162, a), _x142, a__c)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, b), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, b), _x92, a)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(_x81, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(a__f(a__c, _x62, a__f(mark(_x81), _x82, mark(_x83))), _x52, b))mark#(f(b, X2, f(f(c, _x52, f(b, _x82, _x83)), _x52, c))) → a__f#(b, X2, f(f(b, _x52, a__f(b, _x82, mark(_x83))), _x52, c))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x112, f(b, _x152, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(b, _x112, f(b, _x152, a)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(f(_x121, _x122, _x123), _x102, c), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a__f(mark(_x121), _x122, mark(_x123)), _x102, c), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x52, f(b, _x82, c)))) → a__f#(b, X2, f(b, _x52, a__f(b, _x82, b)))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, a), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(a, _x102, a), _x92, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(f(a, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(a__f(a, _x162, mark(_x163)), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x112, f(f(c, _x152, _x153), _x132, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(a, _x112, f(a__f(a__c, _x152, mark(_x153)), _x132, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(b, _x42, f(c, _x82, f(_x121, _x122, c))))) → a__f#(b, X2, a__f(b, _x42, a__f(a__c, _x82, a__f(mark(_x121), _x122, a__c))))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(c, _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__c, _x142, a__c)), _x92, b)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(b, _x162, _x163), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(b, _x162, mark(_x163)), _x142, a__c)), _x82, a__c)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, b), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, b), _x142, c)), _x82, c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(a, _x62, b), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x102, f(f(a, _x162, c), _x142, c)), _x92, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, f(a__f(mark(_x101), _x102, a__f(a__f(a, _x162, a__c), _x142, a)), _x92, a)), _x52, a))
mark#(f(b, X2, f(_x41, _x52, c))) → a__f#(b, X2, f(mark(_x41), _x52, b))mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, f(_x141, _x142, b)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, a__f(mark(_x141), _x142, b)), _x82, a__c)), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(_x101, _x112, f(f(a, _x162, a), _x142, c)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(f(mark(_x101), _x112, a__f(a__f(a, _x162, a), _x142, a)), _x82, a)), _x52, a))mark#(f(b, X2, f(f(c, _x62, c), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__c), _x52, a))
mark#(f(b, X2, f(f(c, _x62, f(f(b, _x102, _x103), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(b, _x102, mark(_x103)), _x82, b)), _x52, a))mark#(f(b, X2, f(f(c, _x62, f(f(a, _x102, f(b, _x142, a)), _x82, c)), _x52, c))) → a__f#(b, X2, f(a__f(b, _x62, a__f(a__f(a, _x102, a__f(b, _x142, a)), _x82, a__c)), _x52, a))

Rewrite Rules

a__f(a, b, X) → a__f(mark(X), X, mark(X))a__c → a
a__c → bmark(f(X1, X2, X3)) → a__f(mark(X1), X2, mark(X3))
mark(c) → a__cmark(a) → a
mark(b) → ba__f(X1, X2, X3) → f(X1, X2, X3)
a__c → c

Original Signature

Termination of terms over the following signature is verified: f, b, c, a, a__c, mark, a__f

Strategy

The right-hand side of the rule mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a)) 
a__f#(b, X2, a__f(a, _x42, a)) 
a__f#(b, X2, a__f(b, _x42, a)) 
a__f#(b, X2, f(mark(_x41), _x52, a)) 
a__f#(b, X2, a__f(a__c, _x42, a)) 
Thus, the rule mark#(f(b, X2, f(_x41, _x42, a))) → a__f#(b, X2, a__f(mark(_x41), _x42, a)) is replaced by the following rules:
mark#(f(b, X2, f(f(_x61, _x62, _x63), _x42, a))) → a__f#(b, X2, a__f(a__f(mark(_x61), _x62, mark(_x63)), _x42, a))mark#(f(b, X2, f(c, _x42, a))) → a__f#(b, X2, a__f(a__c, _x42, a))
mark#(f(b, X2, f(b, _x42, a))) → a__f#(b, X2, a__f(b, _x42, a))mark#(f(b, X2, f(a, _x42, a))) → a__f#(b, X2, a__f(a, _x42, a))
mark#(f(b, X2, f(_x41, _x52, a))) → a__f#(b, X2, f(mark(_x41), _x52, a))