The TRS could not be proven terminating. The proof attempt took 60021 ms.
Problem 1 remains open; application of the following processors failed [DependencyGraph (timeout)].
| proper#(tail(X)) | → | proper#(X) | proper#(U193(X)) | → | U193#(proper(X)) | |
| U22#(mark(X1), X2, X3) | → | U22#(X1, X2, X3) | proper#(U271(X1, X2)) | → | U271#(proper(X1), proper(X2)) | |
| proper#(U326(X1, X2, X3, X4)) | → | U326#(proper(X1), proper(X2), proper(X3), proper(X4)) | proper#(U252(X1, X2, X3)) | → | proper#(X2) | |
| U331#(ok(X1), ok(X2), ok(X3)) | → | U331#(X1, X2, X3) | U326#(ok(X1), ok(X2), ok(X3), ok(X4)) | → | U326#(X1, X2, X3, X4) | |
| U321#(ok(X1), ok(X2), ok(X3), ok(X4)) | → | U321#(X1, X2, X3, X4) | proper#(U201(X1, X2, X3)) | → | proper#(X2) | |
| U294#(ok(X1), ok(X2), ok(X3)) | → | U294#(X1, X2, X3) | active#(U241(tt, V1, V2)) | → | isLNatKind#(V1) | |
| active#(isLNatKind(fst(V1))) | → | isPLNatKind#(V1) | U334#(ok(X1), ok(X2)) | → | U334#(X1, X2) | |
| U282#(mark(X1), X2) | → | U282#(X1, X2) | proper#(U72(X1, X2)) | → | proper#(X2) | |
| proper#(U204(X1, X2, X3)) | → | proper#(X1) | U344#(mark(X1), X2, X3) | → | U344#(X1, X2, X3) | |
| proper#(U92(X1, X2)) | → | U92#(proper(X1), proper(X2)) | U322#(ok(X1), ok(X2), ok(X3), ok(X4)) | → | U322#(X1, X2, X3, X4) | |
| proper#(U104(X1, X2, X3)) | → | proper#(X2) | active#(U243(X1, X2, X3)) | → | U243#(active(X1), X2, X3) | |
| proper#(U92(X1, X2)) | → | proper#(X1) | active#(U321(X1, X2, X3, X4)) | → | U321#(active(X1), X2, X3, X4) | |
| U53#(ok(X1), ok(X2), ok(X3)) | → | U53#(X1, X2, X3) | proper#(U172(X)) | → | U172#(proper(X)) | |
| U204#(mark(X1), X2, X3) | → | U204#(X1, X2, X3) | proper#(U52(X1, X2, X3)) | → | proper#(X2) | |
| active#(U12(X1, X2, X3)) | → | active#(X1) | U282#(ok(X1), ok(X2)) | → | U282#(X1, X2) | |
| active#(isPLNatKind(splitAt(V1, V2))) | → | U271#(isNaturalKind(V1), V2) | active#(isLNat(tail(V1))) | → | U91#(isLNatKind(V1), V1) | |
| active#(U344(tt, N, XS)) | → | fst#(splitAt(N, XS)) | active#(U121(X1, X2)) | → | active#(X1) | |
| U43#(ok(X1), ok(X2), ok(X3)) | → | U43#(X1, X2, X3) | proper#(U324(X1, X2, X3, X4)) | → | proper#(X4) | |
| active#(U31(tt, N, XS)) | → | isNaturalKind#(N) | U102#(mark(X1), X2, X3) | → | U102#(X1, X2, X3) | |
| proper#(U304(X1, X2)) | → | U304#(proper(X1), proper(X2)) | proper#(isPLNatKind(X)) | → | isPLNatKind#(proper(X)) | |
| active#(U251(tt, V1, V2)) | → | U252#(isNaturalKind(V1), V1, V2) | U45#(ok(X1), ok(X2)) | → | U45#(X1, X2) | |
| active#(U102(X1, X2, X3)) | → | U102#(active(X1), X2, X3) | proper#(U21(X1, X2, X3)) | → | proper#(X3) | |
| proper#(U62(X1, X2)) | → | proper#(X1) | proper#(U231(X1, X2)) | → | proper#(X1) | |
| active#(splitAt(0, XS)) | → | isLNat#(XS) | active#(U12(X1, X2, X3)) | → | U12#(active(X1), X2, X3) | |
| U334#(mark(X1), X2) | → | U334#(X1, X2) | U206#(ok(X)) | → | U206#(X) | |
| proper#(U231(X1, X2)) | → | U231#(proper(X1), proper(X2)) | active#(U282(tt, N)) | → | cons#(N, natsFrom(s(N))) | |
| active#(fst(pair(X, Y))) | → | U21#(isLNat(X), X, Y) | U202#(ok(X1), ok(X2), ok(X3)) | → | U202#(X1, X2, X3) | |
| proper#(U81(X1, X2)) | → | U81#(proper(X1), proper(X2)) | proper#(isLNatKind(X)) | → | isLNatKind#(proper(X)) | |
| U291#(mark(X1), X2, X3) | → | U291#(X1, X2, X3) | active#(U161(X)) | → | active#(X) | |
| proper#(U63(X)) | → | U63#(proper(X)) | proper#(U193(X)) | → | proper#(X) | |
| proper#(U22(X1, X2, X3)) | → | proper#(X2) | U131#(ok(X)) | → | U131#(X) | |
| proper#(U63(X)) | → | proper#(X) | active#(afterNth(X1, X2)) | → | active#(X2) | |
| active#(U112(X)) | → | U112#(active(X)) | proper#(U21(X1, X2, X3)) | → | U21#(proper(X1), proper(X2), proper(X3)) | |
| proper#(U301(X1, X2, X3)) | → | proper#(X2) | active#(U106(X)) | → | U106#(active(X)) | |
| active#(U221(X)) | → | active#(X) | active#(U201(X1, X2, X3)) | → | active#(X1) | |
| active#(U32(tt, N, XS)) | → | isLNat#(XS) | proper#(U141(X)) | → | proper#(X) | |
| proper#(U32(X1, X2, X3)) | → | proper#(X3) | proper#(U325(X1, X2, X3, X4)) | → | U325#(proper(X1), proper(X2), proper(X3), proper(X4)) | |
| afterNth#(X1, mark(X2)) | → | afterNth#(X1, X2) | U301#(mark(X1), X2, X3) | → | U301#(X1, X2, X3) | |
| cons#(ok(X1), ok(X2)) | → | cons#(X1, X2) | active#(U11(tt, N, XS)) | → | isNaturalKind#(N) | |
| proper#(U182(X1, X2)) | → | proper#(X2) | proper#(U332(X1, X2)) | → | proper#(X1) | |
| proper#(U291(X1, X2, X3)) | → | proper#(X3) | proper#(U72(X1, X2)) | → | U72#(proper(X1), proper(X2)) | |
| active#(U246(X)) | → | U246#(active(X)) | active#(U221(X)) | → | U221#(active(X)) | |
| U271#(mark(X1), X2) | → | U271#(X1, X2) | active#(U325(tt, N, X, XS)) | → | U326#(isLNatKind(XS), N, X, XS) | |
| proper#(isLNat(X)) | → | isLNat#(proper(X)) | proper#(U183(X)) | → | U183#(proper(X)) | |
| U246#(mark(X)) | → | U246#(X) | active#(U253(X1, X2, X3)) | → | U253#(active(X1), X2, X3) | |
| active#(sel(X1, X2)) | → | active#(X2) | active#(U104(tt, V1, V2)) | → | isNatural#(V1) | |
| U91#(mark(X1), X2) | → | U91#(X1, X2) | active#(U43(tt, V1, V2)) | → | isLNatKind#(V2) | |
| U61#(mark(X1), X2) | → | U61#(X1, X2) | active#(isLNat(natsFrom(V1))) | → | U71#(isNaturalKind(V1), V1) | |
| active#(U101(X1, X2, X3)) | → | active#(X1) | proper#(U41(X1, X2, X3)) | → | U41#(proper(X1), proper(X2), proper(X3)) | |
| proper#(U292(X1, X2, X3)) | → | U292#(proper(X1), proper(X2), proper(X3)) | active#(U171(tt, V2)) | → | U172#(isLNatKind(V2)) | |
| active#(U55(X1, X2)) | → | U55#(active(X1), X2) | U61#(ok(X1), ok(X2)) | → | U61#(X1, X2) | |
| proper#(U232(X)) | → | U232#(proper(X)) | active#(isNatural(s(V1))) | → | isNaturalKind#(V1) | |
| active#(U92(tt, V1)) | → | isLNat#(V1) | active#(natsFrom(N)) | → | isNatural#(N) | |
| take#(X1, mark(X2)) | → | take#(X1, X2) | U292#(mark(X1), X2, X3) | → | U292#(X1, X2, X3) | |
| proper#(U12(X1, X2, X3)) | → | proper#(X3) | U52#(ok(X1), ok(X2), ok(X3)) | → | U52#(X1, X2, X3) | |
| active#(U82(tt, V1)) | → | isPLNat#(V1) | U191#(ok(X1), ok(X2)) | → | U191#(X1, X2) | |
| active#(U325(X1, X2, X3, X4)) | → | active#(X1) | proper#(U344(X1, X2, X3)) | → | U344#(proper(X1), proper(X2), proper(X3)) | |
| proper#(take(X1, X2)) | → | take#(proper(X1), proper(X2)) | U242#(ok(X1), ok(X2), ok(X3)) | → | U242#(X1, X2, X3) | |
| active#(snd(X)) | → | active#(X) | active#(cons(X1, X2)) | → | active#(X1) | |
| proper#(U323(X1, X2, X3, X4)) | → | U323#(proper(X1), proper(X2), proper(X3), proper(X4)) | active#(U291(X1, X2, X3)) | → | U291#(active(X1), X2, X3) | |
| active#(U253(tt, V1, V2)) | → | isLNatKind#(V2) | proper#(U105(X1, X2)) | → | proper#(X1) | |
| active#(pair(X1, X2)) | → | pair#(X1, active(X2)) | active#(U324(tt, N, X, XS)) | → | U325#(isLNat(XS), N, X, XS) | |
| active#(U103(X1, X2, X3)) | → | U103#(active(X1), X2, X3) | active#(U55(X1, X2)) | → | active#(X1) | |
| U31#(ok(X1), ok(X2), ok(X3)) | → | U31#(X1, X2, X3) | U221#(ok(X)) | → | U221#(X) | |
| active#(U311(tt, XS)) | → | U312#(isLNatKind(XS), XS) | proper#(U331(X1, X2, X3)) | → | proper#(X3) | |
| active#(U321(tt, N, X, XS)) | → | isNaturalKind#(N) | proper#(U303(X1, X2)) | → | proper#(X2) | |
| proper#(U243(X1, X2, X3)) | → | proper#(X3) | proper#(U326(X1, X2, X3, X4)) | → | proper#(X1) | |
| proper#(U321(X1, X2, X3, X4)) | → | proper#(X1) | proper#(U326(X1, X2, X3, X4)) | → | proper#(X3) | |
| active#(U304(X1, X2)) | → | U304#(active(X1), X2) | active#(U244(tt, V1, V2)) | → | isLNat#(V1) | |
| proper#(U304(X1, X2)) | → | proper#(X1) | proper#(take(X1, X2)) | → | proper#(X2) | |
| active#(U91(X1, X2)) | → | U91#(active(X1), X2) | s#(mark(X)) | → | s#(X) | |
| proper#(U182(X1, X2)) | → | U182#(proper(X1), proper(X2)) | proper#(U53(X1, X2, X3)) | → | proper#(X2) | |
| proper#(U106(X)) | → | U106#(proper(X)) | active#(U45(X1, X2)) | → | U45#(active(X1), X2) | |
| U105#(ok(X1), ok(X2)) | → | U105#(X1, X2) | proper#(U201(X1, X2, X3)) | → | proper#(X3) | |
| proper#(U343(X1, X2, X3)) | → | proper#(X3) | active#(isLNatKind(cons(V1, V2))) | → | isNaturalKind#(V1) | |
| U342#(ok(X1), ok(X2), ok(X3)) | → | U342#(X1, X2, X3) | proper#(U183(X)) | → | proper#(X) | |
| U42#(ok(X1), ok(X2), ok(X3)) | → | U42#(X1, X2, X3) | active#(U171(X1, X2)) | → | U171#(active(X1), X2) | |
| active#(U92(tt, V1)) | → | U93#(isLNat(V1)) | active#(isLNat(natsFrom(V1))) | → | isNaturalKind#(V1) | |
| active#(U24(X1, X2)) | → | active#(X1) | active#(U242(tt, V1, V2)) | → | U243#(isLNatKind(V2), V1, V2) | |
| U332#(ok(X1), ok(X2)) | → | U332#(X1, X2) | active#(U42(tt, V1, V2)) | → | U43#(isLNatKind(V2), V1, V2) | |
| active#(U301(tt, X, Y)) | → | isLNatKind#(X) | active#(U42(X1, X2, X3)) | → | U42#(active(X1), X2, X3) | |
| U151#(mark(X)) | → | U151#(X) | proper#(isNatural(X)) | → | proper#(X) | |
| active#(U52(tt, V1, V2)) | → | isLNatKind#(V2) | active#(U272(X)) | → | U272#(active(X)) | |
| active#(take(X1, X2)) | → | take#(active(X1), X2) | active#(U255(X1, X2)) | → | U255#(active(X1), X2) | |
| active#(U53(tt, V1, V2)) | → | isLNatKind#(V2) | active#(U202(X1, X2, X3)) | → | U202#(active(X1), X2, X3) | |
| active#(U81(tt, V1)) | → | isPLNatKind#(V1) | U231#(ok(X1), ok(X2)) | → | U231#(X1, X2) | |
| proper#(U291(X1, X2, X3)) | → | U291#(proper(X1), proper(X2), proper(X3)) | active#(tail(cons(N, XS))) | → | isNatural#(N) | |
| U54#(ok(X1), ok(X2), ok(X3)) | → | U54#(X1, X2, X3) | proper#(U253(X1, X2, X3)) | → | proper#(X1) | |
| U111#(mark(X1), X2) | → | U111#(X1, X2) | U21#(mark(X1), X2, X3) | → | U21#(X1, X2, X3) | |
| U252#(mark(X1), X2, X3) | → | U252#(X1, X2, X3) | active#(U21(X1, X2, X3)) | → | U21#(active(X1), X2, X3) | |
| active#(U54(tt, V1, V2)) | → | U55#(isNatural(V1), V2) | U325#(mark(X1), X2, X3, X4) | → | U325#(X1, X2, X3, X4) | |
| active#(U271(tt, V2)) | → | isLNatKind#(V2) | proper#(U343(X1, X2, X3)) | → | proper#(X2) | |
| proper#(U241(X1, X2, X3)) | → | proper#(X1) | active#(U31(X1, X2, X3)) | → | active#(X1) | |
| active#(isLNatKind(tail(V1))) | → | U161#(isLNatKind(V1)) | active#(U53(X1, X2, X3)) | → | U53#(active(X1), X2, X3) | |
| U201#(ok(X1), ok(X2), ok(X3)) | → | U201#(X1, X2, X3) | active#(U327(X1, X2)) | → | U327#(active(X1), X2) | |
| proper#(U303(X1, X2)) | → | U303#(proper(X1), proper(X2)) | proper#(U51(X1, X2, X3)) | → | proper#(X2) | |
| active#(isNatural(sel(V1, V2))) | → | U201#(isNaturalKind(V1), V1, V2) | proper#(U44(X1, X2, X3)) | → | proper#(X1) | |
| active#(U43(X1, X2, X3)) | → | active#(X1) | top#(ok(X)) | → | active#(X) | |
| proper#(U323(X1, X2, X3, X4)) | → | proper#(X3) | active#(U151(X)) | → | U151#(active(X)) | |
| proper#(U103(X1, X2, X3)) | → | proper#(X1) | proper#(U341(X1, X2, X3)) | → | proper#(X3) | |
| proper#(U293(X1, X2, X3)) | → | proper#(X1) | active#(U322(X1, X2, X3, X4)) | → | active#(X1) | |
| active#(U52(X1, X2, X3)) | → | active#(X1) | proper#(U23(X1, X2, X3)) | → | proper#(X3) | |
| active#(pair(X1, X2)) | → | active#(X1) | proper#(U323(X1, X2, X3, X4)) | → | proper#(X2) | |
| proper#(isLNat(X)) | → | proper#(X) | U302#(ok(X1), ok(X2)) | → | U302#(X1, X2) | |
| proper#(U192(X1, X2)) | → | U192#(proper(X1), proper(X2)) | pair#(ok(X1), ok(X2)) | → | pair#(X1, X2) | |
| active#(U342(X1, X2, X3)) | → | U342#(active(X1), X2, X3) | U205#(ok(X1), ok(X2)) | → | U205#(X1, X2) | |
| active#(isNaturalKind(sel(V1, V2))) | → | U231#(isNaturalKind(V1), V2) | proper#(U241(X1, X2, X3)) | → | U241#(proper(X1), proper(X2), proper(X3)) | |
| proper#(U42(X1, X2, X3)) | → | proper#(X1) | proper#(U23(X1, X2, X3)) | → | proper#(X1) | |
| U92#(mark(X1), X2) | → | U92#(X1, X2) | proper#(U11(X1, X2, X3)) | → | proper#(X1) | |
| U112#(ok(X)) | → | U112#(X) | U121#(ok(X1), ok(X2)) | → | U121#(X1, X2) | |
| proper#(U73(X)) | → | proper#(X) | proper#(U281(X1, X2)) | → | proper#(X2) | |
| active#(U46(X)) | → | U46#(active(X)) | proper#(U56(X)) | → | proper#(X) | |
| active#(splitAt(0, XS)) | → | U311#(isLNat(XS), XS) | active#(U231(tt, V2)) | → | U232#(isLNatKind(V2)) | |
| U272#(mark(X)) | → | U272#(X) | proper#(U246(X)) | → | U246#(proper(X)) | |
| active#(isNatural(head(V1))) | → | U181#(isLNatKind(V1), V1) | U243#(ok(X1), ok(X2), ok(X3)) | → | U243#(X1, X2, X3) | |
| U73#(mark(X)) | → | U73#(X) | proper#(U302(X1, X2)) | → | U302#(proper(X1), proper(X2)) | |
| active#(U244(X1, X2, X3)) | → | U244#(active(X1), X2, X3) | proper#(U221(X)) | → | proper#(X) | |
| active#(isLNat(afterNth(V1, V2))) | → | U41#(isNaturalKind(V1), V1, V2) | proper#(U301(X1, X2, X3)) | → | U301#(proper(X1), proper(X2), proper(X3)) | |
| U261#(mark(X1), X2) | → | U261#(X1, X2) | active#(U121(tt, V2)) | → | U122#(isLNatKind(V2)) | |
| active#(U343(X1, X2, X3)) | → | U343#(active(X1), X2, X3) | U281#(mark(X1), X2) | → | U281#(X1, X2) | |
| proper#(isNaturalKind(X)) | → | proper#(X) | proper#(U102(X1, X2, X3)) | → | proper#(X3) | |
| active#(U63(X)) | → | U63#(active(X)) | proper#(U244(X1, X2, X3)) | → | proper#(X2) | |
| U312#(ok(X1), ok(X2)) | → | U312#(X1, X2) | U326#(mark(X1), X2, X3, X4) | → | U326#(X1, X2, X3, X4) | |
| active#(U334(X1, X2)) | → | active#(X1) | proper#(U327(X1, X2)) | → | U327#(proper(X1), proper(X2)) | |
| proper#(U181(X1, X2)) | → | proper#(X1) | proper#(U61(X1, X2)) | → | U61#(proper(X1), proper(X2)) | |
| proper#(U102(X1, X2, X3)) | → | proper#(X1) | U323#(ok(X1), ok(X2), ok(X3), ok(X4)) | → | U323#(X1, X2, X3, X4) | |
| U301#(ok(X1), ok(X2), ok(X3)) | → | U301#(X1, X2, X3) | proper#(U41(X1, X2, X3)) | → | proper#(X3) | |
| active#(U151(X)) | → | active#(X) | active#(U211(X)) | → | active#(X) | |
| proper#(U251(X1, X2, X3)) | → | proper#(X2) | proper#(U122(X)) | → | proper#(X) | |
| active#(splitAt(X1, X2)) | → | active#(X2) | active#(U182(tt, V1)) | → | U183#(isLNat(V1)) | |
| proper#(U71(X1, X2)) | → | proper#(X1) | proper#(U31(X1, X2, X3)) | → | U31#(proper(X1), proper(X2), proper(X3)) | |
| proper#(U253(X1, X2, X3)) | → | U253#(proper(X1), proper(X2), proper(X3)) | U241#(mark(X1), X2, X3) | → | U241#(X1, X2, X3) | |
| U41#(mark(X1), X2, X3) | → | U41#(X1, X2, X3) | proper#(U271(X1, X2)) | → | proper#(X1) | |
| isLNatKind#(ok(X)) | → | isLNatKind#(X) | active#(U181(X1, X2)) | → | active#(X1) | |
| active#(U341(X1, X2, X3)) | → | U341#(active(X1), X2, X3) | active#(U181(tt, V1)) | → | U182#(isLNatKind(V1), V1) | |
| active#(isLNat(fst(V1))) | → | isPLNatKind#(V1) | active#(U231(X1, X2)) | → | U231#(active(X1), X2) | |
| U81#(mark(X1), X2) | → | U81#(X1, X2) | active#(U201(tt, V1, V2)) | → | U202#(isNaturalKind(V1), V1, V2) | |
| active#(U282(X1, X2)) | → | U282#(active(X1), X2) | active#(U245(X1, X2)) | → | U245#(active(X1), X2) | |
| proper#(U83(X)) | → | proper#(X) | U46#(mark(X)) | → | U46#(X) | |
| proper#(U171(X1, X2)) | → | proper#(X2) | U293#(ok(X1), ok(X2), ok(X3)) | → | U293#(X1, X2, X3) | |
| active#(U301(X1, X2, X3)) | → | active#(X1) | active#(isPLNatKind(splitAt(V1, V2))) | → | isNaturalKind#(V1) | |
| active#(natsFrom(N)) | → | U281#(isNatural(N), N) | U46#(ok(X)) | → | U46#(X) | |
| U161#(mark(X)) | → | U161#(X) | U52#(mark(X1), X2, X3) | → | U52#(X1, X2, X3) | |
| active#(U272(X)) | → | active#(X) | active#(U101(tt, V1, V2)) | → | isNaturalKind#(V1) | |
| U83#(mark(X)) | → | U83#(X) | active#(U21(tt, X, Y)) | → | U22#(isLNatKind(X), X, Y) | |
| U327#(ok(X1), ok(X2)) | → | U327#(X1, X2) | proper#(U321(X1, X2, X3, X4)) | → | proper#(X4) | |
| U246#(ok(X)) | → | U246#(X) | proper#(U11(X1, X2, X3)) | → | proper#(X3) | |
| proper#(U254(X1, X2, X3)) | → | proper#(X2) | active#(U294(tt, N, XS)) | → | afterNth#(N, XS) | |
| proper#(U22(X1, X2, X3)) | → | U22#(proper(X1), proper(X2), proper(X3)) | proper#(U56(X)) | → | U56#(proper(X)) | |
| tail#(ok(X)) | → | tail#(X) | proper#(U31(X1, X2, X3)) | → | proper#(X2) | |
| U72#(mark(X1), X2) | → | U72#(X1, X2) | U262#(mark(X)) | → | U262#(X) | |
| active#(U73(X)) | → | U73#(active(X)) | active#(isNaturalKind(head(V1))) | → | U211#(isLNatKind(V1)) | |
| top#(mark(X)) | → | proper#(X) | active#(U41(tt, V1, V2)) | → | U42#(isNaturalKind(V1), V1, V2) | |
| active#(U43(tt, V1, V2)) | → | U44#(isLNatKind(V2), V1, V2) | active#(U51(tt, V1, V2)) | → | U52#(isNaturalKind(V1), V1, V2) | |
| proper#(U324(X1, X2, X3, X4)) | → | U324#(proper(X1), proper(X2), proper(X3), proper(X4)) | active#(U241(X1, X2, X3)) | → | active#(X1) | |
| proper#(U342(X1, X2, X3)) | → | proper#(X1) | active#(U61(X1, X2)) | → | active#(X1) | |
| active#(U54(tt, V1, V2)) | → | isNatural#(V1) | proper#(U104(X1, X2, X3)) | → | proper#(X1) | |
| active#(U331(X1, X2, X3)) | → | active#(X1) | proper#(U43(X1, X2, X3)) | → | proper#(X3) | |
| proper#(U42(X1, X2, X3)) | → | U42#(proper(X1), proper(X2), proper(X3)) | sel#(ok(X1), ok(X2)) | → | sel#(X1, X2) | |
| proper#(U204(X1, X2, X3)) | → | U204#(proper(X1), proper(X2), proper(X3)) | active#(U23(tt, X, Y)) | → | isLNatKind#(Y) | |
| proper#(U242(X1, X2, X3)) | → | proper#(X2) | active#(U45(tt, V2)) | → | isLNat#(V2) | |
| active#(U192(X1, X2)) | → | active#(X1) | active#(U191(X1, X2)) | → | U191#(active(X1), X2) | |
| active#(sel(N, XS)) | → | U291#(isNatural(N), N, XS) | proper#(U206(X)) | → | U206#(proper(X)) | |
| U14#(mark(X1), X2, X3) | → | U14#(X1, X2, X3) | proper#(U181(X1, X2)) | → | U181#(proper(X1), proper(X2)) | |
| U242#(mark(X1), X2, X3) | → | U242#(X1, X2, X3) | proper#(U191(X1, X2)) | → | proper#(X2) | |
| active#(U53(tt, V1, V2)) | → | U54#(isLNatKind(V2), V1, V2) | proper#(U343(X1, X2, X3)) | → | U343#(proper(X1), proper(X2), proper(X3)) | |
| active#(U326(X1, X2, X3, X4)) | → | U326#(active(X1), X2, X3, X4) | active#(sel(X1, X2)) | → | active#(X1) | |
| U332#(mark(X1), X2) | → | U332#(X1, X2) | proper#(U192(X1, X2)) | → | proper#(X2) | |
| proper#(U52(X1, X2, X3)) | → | proper#(X1) | U205#(mark(X1), X2) | → | U205#(X1, X2) | |
| take#(ok(X1), ok(X2)) | → | take#(X1, X2) | active#(U91(tt, V1)) | → | isLNatKind#(V1) | |
| U101#(ok(X1), ok(X2), ok(X3)) | → | U101#(X1, X2, X3) | U253#(mark(X1), X2, X3) | → | U253#(X1, X2, X3) | |
| active#(U342(tt, N, XS)) | → | isLNat#(XS) | active#(U344(X1, X2, X3)) | → | active#(X1) | |
| active#(sel(N, XS)) | → | isNatural#(N) | active#(U32(X1, X2, X3)) | → | U32#(active(X1), X2, X3) | |
| proper#(U33(X1, X2, X3)) | → | proper#(X1) | active#(sel(X1, X2)) | → | sel#(active(X1), X2) | |
| proper#(isPLNat(X)) | → | isPLNat#(proper(X)) | proper#(U101(X1, X2, X3)) | → | proper#(X1) | |
| proper#(U112(X)) | → | proper#(X) | active#(U203(X1, X2, X3)) | → | U203#(active(X1), X2, X3) | |
| proper#(U244(X1, X2, X3)) | → | proper#(X3) | active#(U181(X1, X2)) | → | U181#(active(X1), X2) | |
| U171#(mark(X1), X2) | → | U171#(X1, X2) | active#(U34(X1, X2)) | → | U34#(active(X1), X2) | |
| U231#(mark(X1), X2) | → | U231#(X1, X2) | active#(U51(X1, X2, X3)) | → | U51#(active(X1), X2, X3) | |
| proper#(U13(X1, X2, X3)) | → | proper#(X1) | active#(U293(tt, N, XS)) | → | isLNatKind#(XS) | |
| proper#(U81(X1, X2)) | → | proper#(X1) | proper#(U304(X1, X2)) | → | proper#(X2) | |
| proper#(isPLNat(X)) | → | proper#(X) | proper#(U324(X1, X2, X3, X4)) | → | proper#(X3) | |
| proper#(U324(X1, X2, X3, X4)) | → | proper#(X1) | proper#(U32(X1, X2, X3)) | → | U32#(proper(X1), proper(X2), proper(X3)) | |
| active#(U242(tt, V1, V2)) | → | isLNatKind#(V2) | active#(U281(X1, X2)) | → | U281#(active(X1), X2) | |
| active#(U332(X1, X2)) | → | U332#(active(X1), X2) | U342#(mark(X1), X2, X3) | → | U342#(X1, X2, X3) | |
| proper#(U204(X1, X2, X3)) | → | proper#(X2) | proper#(U253(X1, X2, X3)) | → | proper#(X2) | |
| active#(U33(X1, X2, X3)) | → | active#(X1) | proper#(U281(X1, X2)) | → | proper#(X1) | |
| proper#(U71(X1, X2)) | → | proper#(X2) | proper#(U52(X1, X2, X3)) | → | U52#(proper(X1), proper(X2), proper(X3)) | |
| U182#(mark(X1), X2) | → | U182#(X1, X2) | active#(U191(X1, X2)) | → | active#(X1) | |
| active#(afterNth(N, XS)) | → | isNatural#(N) | U34#(mark(X1), X2) | → | U34#(X1, X2) | |
| proper#(U61(X1, X2)) | → | proper#(X2) | proper#(U294(X1, X2, X3)) | → | proper#(X3) | |
| proper#(U291(X1, X2, X3)) | → | proper#(X2) | U183#(ok(X)) | → | U183#(X) | |
| active#(U24(X1, X2)) | → | U24#(active(X1), X2) | active#(isNatural(sel(V1, V2))) | → | isNaturalKind#(V1) | |
| proper#(U323(X1, X2, X3, X4)) | → | proper#(X4) | active#(U281(tt, N)) | → | isNaturalKind#(N) | |
| U105#(mark(X1), X2) | → | U105#(X1, X2) | proper#(U104(X1, X2, X3)) | → | proper#(X3) | |
| proper#(U82(X1, X2)) | → | proper#(X1) | active#(U303(X1, X2)) | → | active#(X1) | |
| active#(U205(tt, V2)) | → | isLNat#(V2) | active#(U171(tt, V2)) | → | isLNatKind#(V2) | |
| active#(U72(tt, V1)) | → | isNatural#(V1) | U243#(mark(X1), X2, X3) | → | U243#(X1, X2, X3) | |
| U11#(mark(X1), X2, X3) | → | U11#(X1, X2, X3) | U182#(ok(X1), ok(X2)) | → | U182#(X1, X2) | |
| active#(U281(X1, X2)) | → | active#(X1) | active#(U324(tt, N, X, XS)) | → | isLNat#(XS) | |
| active#(U205(X1, X2)) | → | U205#(active(X1), X2) | active#(U131(X)) | → | U131#(active(X)) | |
| proper#(pair(X1, X2)) | → | proper#(X1) | active#(U21(X1, X2, X3)) | → | active#(X1) | |
| proper#(s(X)) | → | proper#(X) | active#(U71(tt, V1)) | → | isNaturalKind#(V1) | |
| active#(U82(tt, V1)) | → | U83#(isPLNat(V1)) | proper#(U261(X1, X2)) | → | proper#(X1) | |
| active#(snd(pair(X, Y))) | → | isLNat#(X) | proper#(U33(X1, X2, X3)) | → | proper#(X3) | |
| proper#(natsFrom(X)) | → | natsFrom#(proper(X)) | active#(U182(tt, V1)) | → | isLNat#(V1) | |
| active#(U294(X1, X2, X3)) | → | active#(X1) | active#(U291(X1, X2, X3)) | → | active#(X1) | |
| proper#(U93(X)) | → | proper#(X) | active#(U282(tt, N)) | → | s#(N) | |
| U331#(mark(X1), X2, X3) | → | U331#(X1, X2, X3) | take#(mark(X1), X2) | → | take#(X1, X2) | |
| proper#(U312(X1, X2)) | → | proper#(X2) | active#(natsFrom(X)) | → | active#(X) | |
| active#(U256(X)) | → | active#(X) | active#(U105(X1, X2)) | → | U105#(active(X1), X2) | |
| active#(U181(tt, V1)) | → | isLNatKind#(V1) | active#(U245(tt, V2)) | → | isLNat#(V2) | |
| proper#(U43(X1, X2, X3)) | → | proper#(X2) | active#(U81(tt, V1)) | → | U82#(isPLNatKind(V1), V1) | |
| active#(U55(tt, V2)) | → | U56#(isLNat(V2)) | active#(U92(X1, X2)) | → | active#(X1) | |
| proper#(U303(X1, X2)) | → | proper#(X1) | proper#(U325(X1, X2, X3, X4)) | → | proper#(X3) | |
| active#(U292(tt, N, XS)) | → | U293#(isLNat(XS), N, XS) | active#(U71(X1, X2)) | → | active#(X1) | |
| U141#(ok(X)) | → | U141#(X) | active#(U302(tt, Y)) | → | isLNat#(Y) | |
| active#(U45(tt, V2)) | → | U46#(isLNat(V2)) | active#(fst(X)) | → | fst#(active(X)) | |
| active#(isLNatKind(tail(V1))) | → | isLNatKind#(V1) | active#(U54(X1, X2, X3)) | → | active#(X1) | |
| active#(U243(tt, V1, V2)) | → | U244#(isLNatKind(V2), V1, V2) | active#(fst(pair(X, Y))) | → | isLNat#(X) | |
| active#(U332(tt, XS)) | → | U333#(isLNat(XS), XS) | active#(U82(X1, X2)) | → | active#(X1) | |
| proper#(U255(X1, X2)) | → | proper#(X2) | proper#(afterNth(X1, X2)) | → | afterNth#(proper(X1), proper(X2)) | |
| active#(U102(X1, X2, X3)) | → | active#(X1) | U303#(ok(X1), ok(X2)) | → | U303#(X1, X2) | |
| U55#(mark(X1), X2) | → | U55#(X1, X2) | proper#(U341(X1, X2, X3)) | → | proper#(X2) | |
| proper#(U221(X)) | → | U221#(proper(X)) | U161#(ok(X)) | → | U161#(X) | |
| U303#(mark(X1), X2) | → | U303#(X1, X2) | active#(U51(tt, V1, V2)) | → | isNaturalKind#(V1) | |
| proper#(snd(X)) | → | snd#(proper(X)) | U255#(ok(X1), ok(X2)) | → | U255#(X1, X2) | |
| proper#(U334(X1, X2)) | → | proper#(X2) | active#(isNaturalKind(head(V1))) | → | isLNatKind#(V1) | |
| proper#(U122(X)) | → | U122#(proper(X)) | U55#(ok(X1), ok(X2)) | → | U55#(X1, X2) | |
| U44#(mark(X1), X2, X3) | → | U44#(X1, X2, X3) | active#(U261(tt, V2)) | → | isLNatKind#(V2) | |
| active#(U46(X)) | → | active#(X) | proper#(U252(X1, X2, X3)) | → | proper#(X3) | |
| proper#(U191(X1, X2)) | → | proper#(X1) | proper#(U321(X1, X2, X3, X4)) | → | U321#(proper(X1), proper(X2), proper(X3), proper(X4)) | |
| U56#(ok(X)) | → | U56#(X) | proper#(U256(X)) | → | proper#(X) | |
| active#(isNaturalKind(s(V1))) | → | isNaturalKind#(V1) | active#(U344(tt, N, XS)) | → | splitAt#(N, XS) | |
| proper#(U54(X1, X2, X3)) | → | proper#(X3) | U92#(ok(X1), ok(X2)) | → | U92#(X1, X2) | |
| active#(U102(tt, V1, V2)) | → | U103#(isLNatKind(V2), V1, V2) | proper#(U292(X1, X2, X3)) | → | proper#(X1) | |
| active#(U341(X1, X2, X3)) | → | active#(X1) | proper#(U53(X1, X2, X3)) | → | proper#(X3) | |
| proper#(U54(X1, X2, X3)) | → | proper#(X1) | U11#(ok(X1), ok(X2), ok(X3)) | → | U11#(X1, X2, X3) | |
| proper#(U55(X1, X2)) | → | proper#(X2) | U13#(mark(X1), X2, X3) | → | U13#(X1, X2, X3) | |
| proper#(U131(X)) | → | proper#(X) | U272#(ok(X)) | → | U272#(X) | |
| active#(U231(tt, V2)) | → | isLNatKind#(V2) | proper#(U161(X)) | → | U161#(proper(X)) | |
| active#(isLNatKind(natsFrom(V1))) | → | isNaturalKind#(V1) | proper#(U34(X1, X2)) | → | U34#(proper(X1), proper(X2)) | |
| active#(U105(tt, V2)) | → | isLNat#(V2) | proper#(U282(X1, X2)) | → | proper#(X1) | |
| active#(U63(X)) | → | active#(X) | active#(U341(tt, N, XS)) | → | U342#(isNaturalKind(N), N, XS) | |
| proper#(U21(X1, X2, X3)) | → | proper#(X1) | natsFrom#(ok(X)) | → | natsFrom#(X) | |
| U71#(mark(X1), X2) | → | U71#(X1, X2) | proper#(U13(X1, X2, X3)) | → | proper#(X3) | |
| U341#(ok(X1), ok(X2), ok(X3)) | → | U341#(X1, X2, X3) | active#(U44(tt, V1, V2)) | → | U45#(isNatural(V1), V2) | |
| proper#(U272(X)) | → | proper#(X) | U33#(ok(X1), ok(X2), ok(X3)) | → | U33#(X1, X2, X3) | |
| active#(U325(tt, N, X, XS)) | → | isLNatKind#(XS) | head#(mark(X)) | → | head#(X) | |
| proper#(U12(X1, X2, X3)) | → | proper#(X2) | U141#(mark(X)) | → | U141#(X) | |
| isPLNat#(ok(X)) | → | isPLNat#(X) | proper#(U72(X1, X2)) | → | proper#(X1) | |
| active#(s(X)) | → | s#(active(X)) | active#(U191(tt, V1)) | → | U192#(isNaturalKind(V1), V1) | |
| active#(U302(X1, X2)) | → | active#(X1) | proper#(sel(X1, X2)) | → | proper#(X1) | |
| active#(U242(X1, X2, X3)) | → | U242#(active(X1), X2, X3) | active#(U204(X1, X2, X3)) | → | U204#(active(X1), X2, X3) | |
| proper#(U302(X1, X2)) | → | proper#(X1) | proper#(U14(X1, X2, X3)) | → | proper#(X2) | |
| active#(U93(X)) | → | U93#(active(X)) | active#(take(X1, X2)) | → | take#(X1, active(X2)) | |
| active#(U211(X)) | → | U211#(active(X)) | U93#(mark(X)) | → | U93#(X) | |
| proper#(U131(X)) | → | U131#(proper(X)) | proper#(U311(X1, X2)) | → | proper#(X1) | |
| proper#(U331(X1, X2, X3)) | → | proper#(X1) | proper#(U245(X1, X2)) | → | U245#(proper(X1), proper(X2)) | |
| U106#(mark(X)) | → | U106#(X) | proper#(U326(X1, X2, X3, X4)) | → | proper#(X4) | |
| proper#(U105(X1, X2)) | → | proper#(X2) | U327#(mark(X1), X2) | → | U327#(X1, X2) | |
| U281#(ok(X1), ok(X2)) | → | U281#(X1, X2) | U24#(mark(X1), X2) | → | U24#(X1, X2) | |
| U211#(mark(X)) | → | U211#(X) | active#(cons(X1, X2)) | → | cons#(active(X1), X2) | |
| U343#(mark(X1), X2, X3) | → | U343#(X1, X2, X3) | proper#(U321(X1, X2, X3, X4)) | → | proper#(X2) | |
| active#(U244(X1, X2, X3)) | → | active#(X1) | proper#(U24(X1, X2)) | → | U24#(proper(X1), proper(X2)) | |
| active#(U52(X1, X2, X3)) | → | U52#(active(X1), X2, X3) | U62#(mark(X1), X2) | → | U62#(X1, X2) | |
| U321#(mark(X1), X2, X3, X4) | → | U321#(X1, X2, X3, X4) | active#(U161(X)) | → | U161#(active(X)) | |
| active#(isLNat(snd(V1))) | → | U81#(isPLNatKind(V1), V1) | proper#(U322(X1, X2, X3, X4)) | → | proper#(X3) | |
| active#(U192(X1, X2)) | → | U192#(active(X1), X2) | active#(U56(X)) | → | U56#(active(X)) | |
| U32#(ok(X1), ok(X2), ok(X3)) | → | U32#(X1, X2, X3) | active#(isPLNat(splitAt(V1, V2))) | → | isNaturalKind#(V1) | |
| top#(mark(X)) | → | top#(proper(X)) | proper#(cons(X1, X2)) | → | proper#(X2) | |
| active#(U332(X1, X2)) | → | active#(X1) | active#(U43(X1, X2, X3)) | → | U43#(active(X1), X2, X3) | |
| proper#(U22(X1, X2, X3)) | → | proper#(X3) | active#(U191(tt, V1)) | → | isNaturalKind#(V1) | |
| proper#(U23(X1, X2, X3)) | → | proper#(X2) | proper#(afterNth(X1, X2)) | → | proper#(X2) | |
| proper#(U92(X1, X2)) | → | proper#(X2) | active#(U303(X1, X2)) | → | U303#(active(X1), X2) | |
| proper#(U101(X1, X2, X3)) | → | U101#(proper(X1), proper(X2), proper(X3)) | proper#(snd(X)) | → | proper#(X) | |
| proper#(head(X)) | → | head#(proper(X)) | U12#(ok(X1), ok(X2), ok(X3)) | → | U12#(X1, X2, X3) | |
| active#(U303(tt, Y)) | → | U304#(isLNatKind(Y), Y) | proper#(splitAt(X1, X2)) | → | splitAt#(proper(X1), proper(X2)) | |
| proper#(U51(X1, X2, X3)) | → | U51#(proper(X1), proper(X2), proper(X3)) | active#(U193(X)) | → | active#(X) | |
| active#(U103(tt, V1, V2)) | → | U104#(isLNatKind(V2), V1, V2) | active#(U292(X1, X2, X3)) | → | U292#(active(X1), X2, X3) | |
| proper#(U203(X1, X2, X3)) | → | proper#(X2) | active#(U71(X1, X2)) | → | U71#(active(X1), X2) | |
| proper#(U256(X)) | → | U256#(proper(X)) | active#(U324(X1, X2, X3, X4)) | → | active#(X1) | |
| proper#(U333(X1, X2)) | → | proper#(X2) | active#(U291(tt, N, XS)) | → | isNaturalKind#(N) | |
| U171#(ok(X1), ok(X2)) | → | U171#(X1, X2) | U23#(mark(X1), X2, X3) | → | U23#(X1, X2, X3) | |
| U23#(ok(X1), ok(X2), ok(X3)) | → | U23#(X1, X2, X3) | U255#(mark(X1), X2) | → | U255#(X1, X2) | |
| U24#(ok(X1), ok(X2)) | → | U24#(X1, X2) | active#(U56(X)) | → | active#(X) | |
| U294#(mark(X1), X2, X3) | → | U294#(X1, X2, X3) | proper#(U111(X1, X2)) | → | proper#(X2) | |
| active#(fst(X)) | → | active#(X) | proper#(U23(X1, X2, X3)) | → | U23#(proper(X1), proper(X2), proper(X3)) | |
| U192#(ok(X1), ok(X2)) | → | U192#(X1, X2) | proper#(U44(X1, X2, X3)) | → | proper#(X3) | |
| proper#(U294(X1, X2, X3)) | → | proper#(X1) | U172#(ok(X)) | → | U172#(X) | |
| proper#(U342(X1, X2, X3)) | → | U342#(proper(X1), proper(X2), proper(X3)) | proper#(U344(X1, X2, X3)) | → | proper#(X2) | |
| U31#(mark(X1), X2, X3) | → | U31#(X1, X2, X3) | proper#(U327(X1, X2)) | → | proper#(X1) | |
| active#(isLNat(afterNth(V1, V2))) | → | isNaturalKind#(V1) | proper#(U301(X1, X2, X3)) | → | proper#(X1) | |
| proper#(cons(X1, X2)) | → | proper#(X1) | active#(splitAt(s(N), cons(X, XS))) | → | U321#(isNatural(N), N, X, XS) | |
| active#(U32(tt, N, XS)) | → | U33#(isLNat(XS), N, XS) | active#(U182(X1, X2)) | → | U182#(active(X1), X2) | |
| active#(U202(tt, V1, V2)) | → | U203#(isLNatKind(V2), V1, V2) | U245#(mark(X1), X2) | → | U245#(X1, X2) | |
| proper#(U91(X1, X2)) | → | proper#(X2) | proper#(U321(X1, X2, X3, X4)) | → | proper#(X3) | |
| active#(U312(X1, X2)) | → | U312#(active(X1), X2) | proper#(U322(X1, X2, X3, X4)) | → | proper#(X1) | |
| active#(isLNat(cons(V1, V2))) | → | isNaturalKind#(V1) | proper#(U171(X1, X2)) | → | U171#(proper(X1), proper(X2)) | |
| U302#(mark(X1), X2) | → | U302#(X1, X2) | proper#(U251(X1, X2, X3)) | → | U251#(proper(X1), proper(X2), proper(X3)) | |
| isNatural#(ok(X)) | → | isNatural#(X) | active#(U106(X)) | → | active#(X) | |
| proper#(U11(X1, X2, X3)) | → | proper#(X2) | active#(U262(X)) | → | active#(X) | |
| U81#(ok(X1), ok(X2)) | → | U81#(X1, X2) | active#(U141(X)) | → | active#(X) | |
| U251#(ok(X1), ok(X2), ok(X3)) | → | U251#(X1, X2, X3) | active#(isLNat(take(V1, V2))) | → | isNaturalKind#(V1) | |
| U54#(mark(X1), X2, X3) | → | U54#(X1, X2, X3) | proper#(U211(X)) | → | proper#(X) | |
| active#(U252(tt, V1, V2)) | → | isLNatKind#(V2) | splitAt#(X1, mark(X2)) | → | splitAt#(X1, X2) | |
| active#(U203(X1, X2, X3)) | → | active#(X1) | active#(afterNth(X1, X2)) | → | afterNth#(active(X1), X2) | |
| proper#(U211(X)) | → | U211#(proper(X)) | proper#(U252(X1, X2, X3)) | → | proper#(X1) | |
| active#(U201(X1, X2, X3)) | → | U201#(active(X1), X2, X3) | proper#(isPLNatKind(X)) | → | proper#(X) | |
| active#(U202(X1, X2, X3)) | → | active#(X1) | active#(U256(X)) | → | U256#(active(X)) | |
| U201#(mark(X1), X2, X3) | → | U201#(X1, X2, X3) | proper#(U12(X1, X2, X3)) | → | proper#(X1) | |
| proper#(U243(X1, X2, X3)) | → | proper#(X2) | active#(U53(X1, X2, X3)) | → | active#(X1) | |
| active#(U172(X)) | → | active#(X) | proper#(U104(X1, X2, X3)) | → | U104#(proper(X1), proper(X2), proper(X3)) | |
| active#(U261(X1, X2)) | → | U261#(active(X1), X2) | natsFrom#(mark(X)) | → | natsFrom#(X) | |
| proper#(U343(X1, X2, X3)) | → | proper#(X1) | active#(U201(tt, V1, V2)) | → | isNaturalKind#(V1) | |
| active#(take(N, XS)) | → | isNatural#(N) | active#(U61(tt, V1)) | → | U62#(isPLNatKind(V1), V1) | |
| active#(snd(X)) | → | snd#(active(X)) | active#(U44(X1, X2, X3)) | → | active#(X1) | |
| proper#(U332(X1, X2)) | → | proper#(X2) | proper#(U331(X1, X2, X3)) | → | proper#(X2) | |
| U244#(mark(X1), X2, X3) | → | U244#(X1, X2, X3) | proper#(U271(X1, X2)) | → | proper#(X2) | |
| U221#(mark(X)) | → | U221#(X) | U191#(mark(X1), X2) | → | U191#(X1, X2) | |
| U41#(ok(X1), ok(X2), ok(X3)) | → | U41#(X1, X2, X3) | isLNat#(ok(X)) | → | isLNat#(X) | |
| U192#(mark(X1), X2) | → | U192#(X1, X2) | active#(sel(X1, X2)) | → | sel#(X1, active(X2)) | |
| active#(U321(tt, N, X, XS)) | → | U322#(isNaturalKind(N), N, X, XS) | U91#(ok(X1), ok(X2)) | → | U91#(X1, X2) | |
| proper#(U293(X1, X2, X3)) | → | proper#(X2) | proper#(U292(X1, X2, X3)) | → | proper#(X3) | |
| proper#(U121(X1, X2)) | → | proper#(X1) | proper#(U261(X1, X2)) | → | proper#(X2) | |
| active#(U341(tt, N, XS)) | → | isNaturalKind#(N) | proper#(pair(X1, X2)) | → | pair#(proper(X1), proper(X2)) | |
| proper#(U282(X1, X2)) | → | U282#(proper(X1), proper(X2)) | U211#(ok(X)) | → | U211#(X) | |
| proper#(tail(X)) | → | tail#(proper(X)) | active#(U141(X)) | → | U141#(active(X)) | |
| active#(U303(tt, Y)) | → | isLNatKind#(Y) | active#(U292(X1, X2, X3)) | → | active#(X1) | |
| proper#(U21(X1, X2, X3)) | → | proper#(X2) | proper#(U245(X1, X2)) | → | proper#(X2) | |
| active#(isLNatKind(take(V1, V2))) | → | isNaturalKind#(V1) | active#(U14(tt, N, XS)) | → | splitAt#(N, XS) | |
| active#(U11(tt, N, XS)) | → | U12#(isNaturalKind(N), N, XS) | active#(U203(tt, V1, V2)) | → | U204#(isLNatKind(V2), V1, V2) | |
| proper#(U262(X)) | → | proper#(X) | proper#(U13(X1, X2, X3)) | → | U13#(proper(X1), proper(X2), proper(X3)) | |
| proper#(U181(X1, X2)) | → | proper#(X2) | U252#(ok(X1), ok(X2), ok(X3)) | → | U252#(X1, X2, X3) | |
| active#(U42(X1, X2, X3)) | → | active#(X1) | U71#(ok(X1), ok(X2)) | → | U71#(X1, X2) | |
| active#(head(cons(N, XS))) | → | isNatural#(N) | active#(U13(tt, N, XS)) | → | isLNatKind#(XS) | |
| active#(U33(X1, X2, X3)) | → | U33#(active(X1), X2, X3) | active#(U62(X1, X2)) | → | active#(X1) | |
| U122#(ok(X)) | → | U122#(X) | active#(U171(X1, X2)) | → | active#(X1) | |
| active#(take(N, XS)) | → | U341#(isNatural(N), N, XS) | proper#(U262(X)) | → | U262#(proper(X)) | |
| active#(U121(tt, V2)) | → | isLNatKind#(V2) | active#(U254(tt, V1, V2)) | → | isNatural#(V1) | |
| proper#(U14(X1, X2, X3)) | → | proper#(X1) | proper#(U53(X1, X2, X3)) | → | proper#(X1) | |
| proper#(U121(X1, X2)) | → | U121#(proper(X1), proper(X2)) | proper#(afterNth(X1, X2)) | → | proper#(X1) | |
| active#(U21(tt, X, Y)) | → | isLNatKind#(X) | proper#(U325(X1, X2, X3, X4)) | → | proper#(X2) | |
| proper#(U103(X1, X2, X3)) | → | proper#(X3) | active#(splitAt(s(N), cons(X, XS))) | → | isNatural#(N) | |
| active#(isLNatKind(cons(V1, V2))) | → | U121#(isNaturalKind(V1), V2) | active#(U51(X1, X2, X3)) | → | active#(X1) | |
| proper#(fst(X)) | → | fst#(proper(X)) | active#(isLNatKind(afterNth(V1, V2))) | → | U111#(isNaturalKind(V1), V2) | |
| proper#(U106(X)) | → | proper#(X) | proper#(pair(X1, X2)) | → | proper#(X2) | |
| active#(U323(tt, N, X, XS)) | → | isNaturalKind#(X) | active#(isLNatKind(snd(V1))) | → | isPLNatKind#(V1) | |
| proper#(U45(X1, X2)) | → | proper#(X2) | active#(U14(X1, X2, X3)) | → | active#(X1) | |
| sel#(mark(X1), X2) | → | sel#(X1, X2) | proper#(U55(X1, X2)) | → | U55#(proper(X1), proper(X2)) | |
| active#(U312(X1, X2)) | → | active#(X1) | active#(U11(X1, X2, X3)) | → | U11#(active(X1), X2, X3) | |
| proper#(U204(X1, X2, X3)) | → | proper#(X3) | proper#(U312(X1, X2)) | → | proper#(X1) | |
| splitAt#(ok(X1), ok(X2)) | → | splitAt#(X1, X2) | proper#(take(X1, X2)) | → | proper#(X1) | |
| proper#(U34(X1, X2)) | → | proper#(X2) | proper#(U42(X1, X2, X3)) | → | proper#(X2) | |
| U103#(ok(X1), ok(X2), ok(X3)) | → | U103#(X1, X2, X3) | proper#(U91(X1, X2)) | → | U91#(proper(X1), proper(X2)) | |
| proper#(U171(X1, X2)) | → | proper#(X1) | active#(U55(tt, V2)) | → | isLNat#(V2) | |
| proper#(U24(X1, X2)) | → | proper#(X2) | active#(U291(tt, N, XS)) | → | U292#(isNaturalKind(N), N, XS) | |
| active#(U61(tt, V1)) | → | isPLNatKind#(V1) | proper#(U205(X1, X2)) | → | proper#(X1) | |
| proper#(U83(X)) | → | U83#(proper(X)) | active#(take(X1, X2)) | → | active#(X1) | |
| proper#(U341(X1, X2, X3)) | → | U341#(proper(X1), proper(X2), proper(X3)) | active#(U81(X1, X2)) | → | U81#(active(X1), X2) | |
| U72#(ok(X1), ok(X2)) | → | U72#(X1, X2) | active#(U103(tt, V1, V2)) | → | isLNatKind#(V2) | |
| active#(s(X)) | → | active#(X) | active#(U112(X)) | → | active#(X) | |
| proper#(U46(X)) | → | proper#(X) | active#(tail(X)) | → | active#(X) | |
| U63#(mark(X)) | → | U63#(X) | U32#(mark(X1), X2, X3) | → | U32#(X1, X2, X3) | |
| active#(U246(X)) | → | active#(X) | active#(U42(tt, V1, V2)) | → | isLNatKind#(V2) | |
| active#(U325(X1, X2, X3, X4)) | → | U325#(active(X1), X2, X3, X4) | U122#(mark(X)) | → | U122#(X) | |
| proper#(U44(X1, X2, X3)) | → | proper#(X2) | active#(U252(X1, X2, X3)) | → | U252#(active(X1), X2, X3) | |
| active#(U13(tt, N, XS)) | → | U14#(isLNatKind(XS), N, XS) | U251#(mark(X1), X2, X3) | → | U251#(X1, X2, X3) | |
| U106#(ok(X)) | → | U106#(X) | active#(U322(tt, N, X, XS)) | → | isNatural#(X) | |
| active#(U251(tt, V1, V2)) | → | isNaturalKind#(V1) | proper#(U254(X1, X2, X3)) | → | proper#(X3) | |
| U244#(ok(X1), ok(X2), ok(X3)) | → | U244#(X1, X2, X3) | proper#(U41(X1, X2, X3)) | → | proper#(X2) | |
| splitAt#(mark(X1), X2) | → | splitAt#(X1, X2) | proper#(U53(X1, X2, X3)) | → | U53#(proper(X1), proper(X2), proper(X3)) | |
| active#(U311(X1, X2)) | → | U311#(active(X1), X2) | active#(splitAt(X1, X2)) | → | splitAt#(active(X1), X2) | |
| active#(splitAt(X1, X2)) | → | splitAt#(X1, active(X2)) | active#(isLNatKind(afterNth(V1, V2))) | → | isNaturalKind#(V1) | |
| active#(U104(tt, V1, V2)) | → | U105#(isNatural(V1), V2) | proper#(U81(X1, X2)) | → | proper#(X2) | |
| active#(U32(X1, X2, X3)) | → | active#(X1) | active#(U331(X1, X2, X3)) | → | U331#(active(X1), X2, X3) | |
| proper#(U13(X1, X2, X3)) | → | proper#(X2) | active#(isLNatKind(snd(V1))) | → | U151#(isPLNatKind(V1)) | |
| active#(U294(tt, N, XS)) | → | head#(afterNth(N, XS)) | proper#(U201(X1, X2, X3)) | → | U201#(proper(X1), proper(X2), proper(X3)) | |
| proper#(U54(X1, X2, X3)) | → | proper#(X2) | U12#(mark(X1), X2, X3) | → | U12#(X1, X2, X3) | |
| active#(isLNat(snd(V1))) | → | isPLNatKind#(V1) | active#(take(X1, X2)) | → | active#(X2) | |
| active#(U294(X1, X2, X3)) | → | U294#(active(X1), X2, X3) | U112#(mark(X)) | → | U112#(X) | |
| pair#(X1, mark(X2)) | → | pair#(X1, X2) | U262#(ok(X)) | → | U262#(X) | |
| proper#(U55(X1, X2)) | → | proper#(X1) | active#(U192(tt, V1)) | → | U193#(isNatural(V1)) | |
| active#(U62(tt, V1)) | → | isPLNat#(V1) | active#(U41(X1, X2, X3)) | → | active#(X1) | |
| proper#(U51(X1, X2, X3)) | → | proper#(X1) | active#(U326(X1, X2, X3, X4)) | → | active#(X1) | |
| active#(isLNat(cons(V1, V2))) | → | U51#(isNaturalKind(V1), V1, V2) | active#(U105(X1, X2)) | → | active#(X1) | |
| U33#(mark(X1), X2, X3) | → | U33#(X1, X2, X3) | proper#(U101(X1, X2, X3)) | → | proper#(X3) | |
| active#(U206(X)) | → | active#(X) | active#(U323(tt, N, X, XS)) | → | U324#(isNaturalKind(X), N, X, XS) | |
| active#(U333(tt, XS)) | → | U334#(isLNatKind(XS), XS) | active#(U62(X1, X2)) | → | U62#(active(X1), X2) | |
| proper#(isNatural(X)) | → | isNatural#(proper(X)) | active#(afterNth(X1, X2)) | → | afterNth#(X1, active(X2)) | |
| U82#(mark(X1), X2) | → | U82#(X1, X2) | active#(U333(tt, XS)) | → | isLNatKind#(XS) | |
| proper#(U202(X1, X2, X3)) | → | proper#(X2) | proper#(U323(X1, X2, X3, X4)) | → | proper#(X1) | |
| active#(U301(X1, X2, X3)) | → | U301#(active(X1), X2, X3) | active#(isLNat(fst(V1))) | → | U61#(isPLNatKind(V1), V1) | |
| active#(U253(X1, X2, X3)) | → | active#(X1) | proper#(U91(X1, X2)) | → | proper#(X1) | |
| U45#(mark(X1), X2) | → | U45#(X1, X2) | active#(U23(tt, X, Y)) | → | U24#(isLNatKind(Y), X) | |
| proper#(U22(X1, X2, X3)) | → | proper#(X1) | proper#(U102(X1, X2, X3)) | → | U102#(proper(X1), proper(X2), proper(X3)) | |
| proper#(U252(X1, X2, X3)) | → | U252#(proper(X1), proper(X2), proper(X3)) | active#(U14(X1, X2, X3)) | → | U14#(active(X1), X2, X3) | |
| active#(U44(tt, V1, V2)) | → | isNatural#(V1) | active#(U62(tt, V1)) | → | U63#(isPLNat(V1)) | |
| active#(head(X)) | → | head#(active(X)) | active#(U245(X1, X2)) | → | active#(X1) | |
| proper#(U294(X1, X2, X3)) | → | U294#(proper(X1), proper(X2), proper(X3)) | active#(isPLNat(splitAt(V1, V2))) | → | U251#(isNaturalKind(V1), V1, V2) | |
| U322#(mark(X1), X2, X3, X4) | → | U322#(X1, X2, X3, X4) | proper#(U311(X1, X2)) | → | proper#(X2) | |
| proper#(U161(X)) | → | proper#(X) | active#(U302(tt, Y)) | → | U303#(isLNat(Y), Y) | |
| active#(U252(X1, X2, X3)) | → | active#(X1) | active#(U72(X1, X2)) | → | U72#(active(X1), X2) | |
| proper#(s(X)) | → | s#(proper(X)) | active#(splitAt(X1, X2)) | → | active#(X1) | |
| proper#(U82(X1, X2)) | → | U82#(proper(X1), proper(X2)) | active#(U241(X1, X2, X3)) | → | U241#(active(X1), X2, X3) | |
| active#(U12(tt, N, XS)) | → | U13#(isLNat(XS), N, XS) | U341#(mark(X1), X2, X3) | → | U341#(X1, X2, X3) | |
| proper#(U205(X1, X2)) | → | proper#(X2) | top#(ok(X)) | → | top#(active(X)) | |
| active#(U282(X1, X2)) | → | active#(X1) | proper#(U334(X1, X2)) | → | U334#(proper(X1), proper(X2)) | |
| proper#(U334(X1, X2)) | → | proper#(X1) | active#(U202(tt, V1, V2)) | → | isLNatKind#(V2) | |
| U202#(mark(X1), X2, X3) | → | U202#(X1, X2, X3) | U102#(ok(X1), ok(X2), ok(X3)) | → | U102#(X1, X2, X3) | |
| active#(U311(tt, XS)) | → | isLNatKind#(XS) | proper#(U232(X)) | → | proper#(X) | |
| active#(U81(X1, X2)) | → | active#(X1) | active#(isPLNatKind(pair(V1, V2))) | → | isLNatKind#(V1) | |
| active#(pair(X1, X2)) | → | active#(X2) | snd#(ok(X)) | → | snd#(X) | |
| proper#(U322(X1, X2, X3, X4)) | → | U322#(proper(X1), proper(X2), proper(X3), proper(X4)) | active#(head(X)) | → | active#(X) | |
| proper#(U111(X1, X2)) | → | proper#(X1) | active#(U262(X)) | → | U262#(active(X)) | |
| active#(U282(tt, N)) | → | natsFrom#(s(N)) | proper#(U322(X1, X2, X3, X4)) | → | proper#(X4) | |
| U42#(mark(X1), X2, X3) | → | U42#(X1, X2, X3) | U344#(ok(X1), ok(X2), ok(X3)) | → | U344#(X1, X2, X3) | |
| proper#(U293(X1, X2, X3)) | → | proper#(X3) | active#(U342(tt, N, XS)) | → | U343#(isLNat(XS), N, XS) | |
| U333#(mark(X1), X2) | → | U333#(X1, X2) | active#(U172(X)) | → | U172#(active(X)) | |
| proper#(U293(X1, X2, X3)) | → | U293#(proper(X1), proper(X2), proper(X3)) | proper#(U14(X1, X2, X3)) | → | U14#(proper(X1), proper(X2), proper(X3)) | |
| active#(U324(X1, X2, X3, X4)) | → | U324#(active(X1), X2, X3, X4) | active#(U45(X1, X2)) | → | active#(X1) | |
| proper#(U244(X1, X2, X3)) | → | U244#(proper(X1), proper(X2), proper(X3)) | U293#(mark(X1), X2, X3) | → | U293#(X1, X2, X3) | |
| active#(U11(X1, X2, X3)) | → | active#(X1) | U181#(mark(X1), X2) | → | U181#(X1, X2) | |
| U151#(ok(X)) | → | U151#(X) | active#(U205(X1, X2)) | → | active#(X1) | |
| proper#(U342(X1, X2, X3)) | → | proper#(X3) | active#(U232(X)) | → | active#(X) | |
| U22#(ok(X1), ok(X2), ok(X3)) | → | U22#(X1, X2, X3) | proper#(U54(X1, X2, X3)) | → | U54#(proper(X1), proper(X2), proper(X3)) | |
| proper#(U251(X1, X2, X3)) | → | proper#(X1) | proper#(U241(X1, X2, X3)) | → | proper#(X3) | |
| proper#(U172(X)) | → | proper#(X) | proper#(U93(X)) | → | U93#(proper(X)) | |
| active#(U206(X)) | → | U206#(active(X)) | active#(U204(tt, V1, V2)) | → | U205#(isNatural(V1), V2) | |
| active#(isLNat(tail(V1))) | → | isLNatKind#(V1) | active#(U281(tt, N)) | → | U282#(isNaturalKind(N), N) | |
| proper#(U201(X1, X2, X3)) | → | proper#(X1) | proper#(U243(X1, X2, X3)) | → | U243#(proper(X1), proper(X2), proper(X3)) | |
| proper#(fst(X)) | → | proper#(X) | active#(U205(tt, V2)) | → | U206#(isLNat(V2)) | |
| afterNth#(ok(X1), ok(X2)) | → | afterNth#(X1, X2) | proper#(U331(X1, X2, X3)) | → | U331#(proper(X1), proper(X2), proper(X3)) | |
| active#(U322(tt, N, X, XS)) | → | U323#(isNatural(X), N, X, XS) | proper#(U102(X1, X2, X3)) | → | proper#(X2) | |
| proper#(U51(X1, X2, X3)) | → | proper#(X3) | active#(U334(X1, X2)) | → | U334#(active(X1), X2) | |
| U34#(ok(X1), ok(X2)) | → | U34#(X1, X2) | active#(U23(X1, X2, X3)) | → | U23#(active(X1), X2, X3) | |
| proper#(U43(X1, X2, X3)) | → | U43#(proper(X1), proper(X2), proper(X3)) | active#(U343(X1, X2, X3)) | → | active#(X1) | |
| proper#(U312(X1, X2)) | → | U312#(proper(X1), proper(X2)) | U311#(mark(X1), X2) | → | U311#(X1, X2) | |
| active#(U182(X1, X2)) | → | active#(X1) | active#(U311(X1, X2)) | → | active#(X1) | |
| active#(U254(tt, V1, V2)) | → | U255#(isNatural(V1), V2) | active#(U255(tt, V2)) | → | U256#(isLNat(V2)) | |
| proper#(U231(X1, X2)) | → | proper#(X2) | proper#(U261(X1, X2)) | → | U261#(proper(X1), proper(X2)) | |
| active#(isPLNat(pair(V1, V2))) | → | U241#(isLNatKind(V1), V1, V2) | active#(U323(X1, X2, X3, X4)) | → | active#(X1) | |
| active#(U14(tt, N, XS)) | → | snd#(splitAt(N, XS)) | active#(isNaturalKind(s(V1))) | → | U221#(isNaturalKind(V1)) | |
| active#(U22(tt, X, Y)) | → | isLNat#(Y) | U256#(mark(X)) | → | U256#(X) | |
| U324#(mark(X1), X2, X3, X4) | → | U324#(X1, X2, X3, X4) | active#(U122(X)) | → | U122#(active(X)) | |
| U291#(ok(X1), ok(X2), ok(X3)) | → | U291#(X1, X2, X3) | active#(U102(tt, V1, V2)) | → | isLNatKind#(V2) | |
| proper#(U32(X1, X2, X3)) | → | proper#(X2) | active#(isPLNatKind(pair(V1, V2))) | → | U261#(isLNatKind(V1), V2) | |
| active#(afterNth(N, XS)) | → | U11#(isNatural(N), N, XS) | active#(U327(X1, X2)) | → | active#(X1) | |
| proper#(U206(X)) | → | proper#(X) | U193#(ok(X)) | → | U193#(X) | |
| active#(U232(X)) | → | U232#(active(X)) | active#(U13(X1, X2, X3)) | → | active#(X1) | |
| active#(U72(tt, V1)) | → | U73#(isNatural(V1)) | active#(U101(X1, X2, X3)) | → | U101#(active(X1), X2, X3) | |
| U43#(mark(X1), X2, X3) | → | U43#(X1, X2, X3) | proper#(U71(X1, X2)) | → | U71#(proper(X1), proper(X2)) | |
| active#(U71(tt, V1)) | → | U72#(isNaturalKind(V1), V1) | U131#(mark(X)) | → | U131#(X) | |
| proper#(isNaturalKind(X)) | → | isNaturalKind#(proper(X)) | active#(U293(tt, N, XS)) | → | U294#(isLNatKind(XS), N, XS) | |
| proper#(U33(X1, X2, X3)) | → | U33#(proper(X1), proper(X2), proper(X3)) | proper#(U101(X1, X2, X3)) | → | proper#(X2) | |
| U254#(mark(X1), X2, X3) | → | U254#(X1, X2, X3) | proper#(splitAt(X1, X2)) | → | proper#(X2) | |
| active#(U72(X1, X2)) | → | active#(X1) | U83#(ok(X)) | → | U83#(X) | |
| active#(U193(X)) | → | U193#(active(X)) | active#(U54(X1, X2, X3)) | → | U54#(active(X1), X2, X3) | |
| proper#(U43(X1, X2, X3)) | → | proper#(X1) | proper#(head(X)) | → | proper#(X) | |
| proper#(U44(X1, X2, X3)) | → | U44#(proper(X1), proper(X2), proper(X3)) | active#(U12(tt, N, XS)) | → | isLNat#(XS) | |
| U104#(ok(X1), ok(X2), ok(X3)) | → | U104#(X1, X2, X3) | active#(U41(X1, X2, X3)) | → | U41#(active(X1), X2, X3) | |
| proper#(U111(X1, X2)) | → | U111#(proper(X1), proper(X2)) | proper#(U202(X1, X2, X3)) | → | proper#(X1) | |
| proper#(U45(X1, X2)) | → | U45#(proper(X1), proper(X2)) | U261#(ok(X1), ok(X2)) | → | U261#(X1, X2) | |
| proper#(U244(X1, X2, X3)) | → | proper#(X1) | U343#(ok(X1), ok(X2), ok(X3)) | → | U343#(X1, X2, X3) | |
| proper#(U41(X1, X2, X3)) | → | proper#(X1) | proper#(U325(X1, X2, X3, X4)) | → | proper#(X4) | |
| active#(U242(X1, X2, X3)) | → | active#(X1) | active#(U255(tt, V2)) | → | isLNat#(V2) | |
| active#(isLNat(take(V1, V2))) | → | U101#(isNaturalKind(V1), V1, V2) | active#(U333(X1, X2)) | → | U333#(active(X1), X2) | |
| proper#(U246(X)) | → | proper#(X) | active#(U231(X1, X2)) | → | active#(X1) | |
| proper#(U292(X1, X2, X3)) | → | proper#(X2) | proper#(U325(X1, X2, X3, X4)) | → | proper#(X1) | |
| snd#(mark(X)) | → | snd#(X) | proper#(U73(X)) | → | U73#(proper(X)) | |
| proper#(U333(X1, X2)) | → | proper#(X1) | proper#(isLNatKind(X)) | → | proper#(X) | |
| proper#(U254(X1, X2, X3)) | → | U254#(proper(X1), proper(X2), proper(X3)) | proper#(U121(X1, X2)) | → | proper#(X2) | |
| active#(U192(tt, V1)) | → | isNatural#(V1) | proper#(U52(X1, X2, X3)) | → | proper#(X3) | |
| U325#(ok(X1), ok(X2), ok(X3), ok(X4)) | → | U325#(X1, X2, X3, X4) | proper#(U341(X1, X2, X3)) | → | proper#(X1) | |
| proper#(U324(X1, X2, X3, X4)) | → | proper#(X2) | proper#(U281(X1, X2)) | → | U281#(proper(X1), proper(X2)) | |
| proper#(U103(X1, X2, X3)) | → | U103#(proper(X1), proper(X2), proper(X3)) | active#(U342(X1, X2, X3)) | → | active#(X1) | |
| active#(U101(tt, V1, V2)) | → | U102#(isNaturalKind(V1), V1, V2) | active#(U111(X1, X2)) | → | active#(X1) | |
| active#(U244(tt, V1, V2)) | → | U245#(isLNat(V1), V2) | proper#(U327(X1, X2)) | → | proper#(X2) | |
| U232#(mark(X)) | → | U232#(X) | proper#(U202(X1, X2, X3)) | → | proper#(X3) | |
| U292#(ok(X1), ok(X2), ok(X3)) | → | U292#(X1, X2, X3) | proper#(U24(X1, X2)) | → | proper#(X1) | |
| U333#(ok(X1), ok(X2)) | → | U333#(X1, X2) | proper#(U326(X1, X2, X3, X4)) | → | proper#(X2) | |
| U256#(ok(X)) | → | U256#(X) | U111#(ok(X1), ok(X2)) | → | U111#(X1, X2) | |
| proper#(U242(X1, X2, X3)) | → | U242#(proper(X1), proper(X2), proper(X3)) | afterNth#(mark(X1), X2) | → | afterNth#(X1, X2) | |
| proper#(U311(X1, X2)) | → | U311#(proper(X1), proper(X2)) | active#(U312(tt, XS)) | → | pair#(nil, XS) | |
| active#(U327(pair(YS, ZS), X)) | → | cons#(X, YS) | active#(U41(tt, V1, V2)) | → | isNaturalKind#(V1) | |
| U206#(mark(X)) | → | U206#(X) | proper#(U205(X1, X2)) | → | U205#(proper(X1), proper(X2)) | |
| U271#(ok(X1), ok(X2)) | → | U271#(X1, X2) | active#(U245(tt, V2)) | → | U246#(isLNat(V2)) | |
| U232#(ok(X)) | → | U232#(X) | active#(pair(X1, X2)) | → | pair#(active(X1), X2) | |
| active#(U243(X1, X2, X3)) | → | active#(X1) | active#(U22(X1, X2, X3)) | → | U22#(active(X1), X2, X3) | |
| active#(U33(tt, N, XS)) | → | isLNatKind#(XS) | tail#(mark(X)) | → | tail#(X) | |
| active#(U31(tt, N, XS)) | → | U32#(isNaturalKind(N), N, XS) | active#(isNatural(head(V1))) | → | isLNatKind#(V1) | |
| U203#(ok(X1), ok(X2), ok(X3)) | → | U203#(X1, X2, X3) | active#(U111(tt, V2)) | → | isLNatKind#(V2) | |
| proper#(U344(X1, X2, X3)) | → | proper#(X1) | active#(isNatural(s(V1))) | → | U191#(isNaturalKind(V1), V1) | |
| proper#(U333(X1, X2)) | → | U333#(proper(X1), proper(X2)) | proper#(U301(X1, X2, X3)) | → | proper#(X3) | |
| active#(isLNatKind(natsFrom(V1))) | → | U141#(isNaturalKind(V1)) | active#(U13(X1, X2, X3)) | → | U13#(active(X1), X2, X3) | |
| active#(U261(tt, V2)) | → | U262#(isLNatKind(V2)) | active#(isLNatKind(fst(V1))) | → | U131#(isPLNatKind(V1)) | |
| U44#(ok(X1), ok(X2), ok(X3)) | → | U44#(X1, X2, X3) | proper#(sel(X1, X2)) | → | sel#(proper(X1), proper(X2)) | |
| U93#(ok(X)) | → | U93#(X) | U193#(mark(X)) | → | U193#(X) | |
| proper#(U255(X1, X2)) | → | proper#(X1) | active#(U322(X1, X2, X3, X4)) | → | U322#(active(X1), X2, X3, X4) | |
| fst#(mark(X)) | → | fst#(X) | U53#(mark(X1), X2, X3) | → | U53#(X1, X2, X3) | |
| active#(U44(X1, X2, X3)) | → | U44#(active(X1), X2, X3) | active#(U241(tt, V1, V2)) | → | U242#(isLNatKind(V1), V1, V2) | |
| active#(U252(tt, V1, V2)) | → | U253#(isLNatKind(V2), V1, V2) | active#(head(cons(N, XS))) | → | U31#(isNatural(N), N, XS) | |
| active#(natsFrom(X)) | → | natsFrom#(active(X)) | U203#(mark(X1), X2, X3) | → | U203#(X1, X2, X3) | |
| proper#(U294(X1, X2, X3)) | → | proper#(X2) | active#(U103(X1, X2, X3)) | → | active#(X1) | |
| U121#(mark(X1), X2) | → | U121#(X1, X2) | active#(U33(tt, N, XS)) | → | U34#(isLNatKind(XS), N) | |
| U104#(mark(X1), X2, X3) | → | U104#(X1, X2, X3) | U254#(ok(X1), ok(X2), ok(X3)) | → | U254#(X1, X2, X3) | |
| U63#(ok(X)) | → | U63#(X) | proper#(U11(X1, X2, X3)) | → | U11#(proper(X1), proper(X2), proper(X3)) | |
| U324#(ok(X1), ok(X2), ok(X3), ok(X4)) | → | U324#(X1, X2, X3, X4) | active#(snd(pair(X, Y))) | → | U301#(isLNat(X), X, Y) | |
| active#(U82(X1, X2)) | → | U82#(active(X1), X2) | isPLNatKind#(ok(X)) | → | isPLNatKind#(X) | |
| U204#(ok(X1), ok(X2), ok(X3)) | → | U204#(X1, X2, X3) | U14#(ok(X1), ok(X2), ok(X3)) | → | U14#(X1, X2, X3) | |
| active#(U254(X1, X2, X3)) | → | active#(X1) | active#(U104(X1, X2, X3)) | → | U104#(active(X1), X2, X3) | |
| proper#(splitAt(X1, X2)) | → | proper#(X1) | proper#(U112(X)) | → | U112#(proper(X)) | |
| U21#(ok(X1), ok(X2), ok(X3)) | → | U21#(X1, X2, X3) | proper#(U62(X1, X2)) | → | U62#(proper(X1), proper(X2)) | |
| active#(U254(X1, X2, X3)) | → | U254#(active(X1), X2, X3) | proper#(U342(X1, X2, X3)) | → | proper#(X2) | |
| active#(U104(X1, X2, X3)) | → | active#(X1) | proper#(U203(X1, X2, X3)) | → | U203#(proper(X1), proper(X2), proper(X3)) | |
| active#(U111(tt, V2)) | → | U112#(isLNatKind(V2)) | U183#(mark(X)) | → | U183#(X) | |
| active#(U293(X1, X2, X3)) | → | U293#(active(X1), X2, X3) | active#(U332(tt, XS)) | → | isLNat#(XS) | |
| proper#(U33(X1, X2, X3)) | → | proper#(X2) | active#(U343(tt, N, XS)) | → | U344#(isLNatKind(XS), N, XS) | |
| active#(U271(X1, X2)) | → | active#(X1) | proper#(U192(X1, X2)) | → | proper#(X1) | |
| isNaturalKind#(ok(X)) | → | isNaturalKind#(X) | active#(U73(X)) | → | active#(X) | |
| proper#(U203(X1, X2, X3)) | → | proper#(X3) | proper#(U255(X1, X2)) | → | U255#(proper(X1), proper(X2)) | |
| proper#(U46(X)) | → | U46#(proper(X)) | sel#(X1, mark(X2)) | → | sel#(X1, X2) | |
| head#(ok(X)) | → | head#(X) | active#(U255(X1, X2)) | → | active#(X1) | |
| active#(U23(X1, X2, X3)) | → | active#(X1) | proper#(U42(X1, X2, X3)) | → | proper#(X3) | |
| active#(U326(tt, N, X, XS)) | → | splitAt#(N, XS) | U312#(mark(X1), X2) | → | U312#(X1, X2) | |
| active#(U204(X1, X2, X3)) | → | active#(X1) | active#(U331(tt, N, XS)) | → | U332#(isNaturalKind(N), XS) | |
| active#(U34(X1, X2)) | → | active#(X1) | U253#(ok(X1), ok(X2), ok(X3)) | → | U253#(X1, X2, X3) | |
| U103#(mark(X1), X2, X3) | → | U103#(X1, X2, X3) | pair#(mark(X1), X2) | → | pair#(X1, X2) | |
| U51#(ok(X1), ok(X2), ok(X3)) | → | U51#(X1, X2, X3) | proper#(U62(X1, X2)) | → | proper#(X2) | |
| proper#(U272(X)) | → | U272#(proper(X)) | proper#(U243(X1, X2, X3)) | → | proper#(X1) | |
| active#(U204(tt, V1, V2)) | → | isNatural#(V1) | cons#(mark(X1), X2) | → | cons#(X1, X2) | |
| U13#(ok(X1), ok(X2), ok(X3)) | → | U13#(X1, X2, X3) | proper#(U103(X1, X2, X3)) | → | proper#(X2) | |
| active#(U326(tt, N, X, XS)) | → | U327#(splitAt(N, XS), X) | U62#(ok(X1), ok(X2)) | → | U62#(X1, X2) | |
| U311#(ok(X1), ok(X2)) | → | U311#(X1, X2) | active#(U91(X1, X2)) | → | active#(X1) | |
| active#(U52(tt, V1, V2)) | → | U53#(isLNatKind(V2), V1, V2) | active#(U302(X1, X2)) | → | U302#(active(X1), X2) | |
| proper#(U322(X1, X2, X3, X4)) | → | proper#(X2) | active#(U31(X1, X2, X3)) | → | U31#(active(X1), X2, X3) | |
| proper#(U251(X1, X2, X3)) | → | proper#(X3) | active#(U301(tt, X, Y)) | → | U302#(isLNatKind(X), Y) | |
| proper#(sel(X1, X2)) | → | proper#(X2) | active#(U183(X)) | → | active#(X) | |
| U51#(mark(X1), X2, X3) | → | U51#(X1, X2, X3) | proper#(U45(X1, X2)) | → | proper#(X1) | |
| proper#(U12(X1, X2, X3)) | → | U12#(proper(X1), proper(X2), proper(X3)) | proper#(U31(X1, X2, X3)) | → | proper#(X1) | |
| proper#(U332(X1, X2)) | → | U332#(proper(X1), proper(X2)) | U56#(mark(X)) | → | U56#(X) | |
| s#(ok(X)) | → | s#(X) | proper#(U14(X1, X2, X3)) | → | proper#(X3) | |
| active#(U304(X1, X2)) | → | active#(X1) | active#(U271(tt, V2)) | → | U272#(isLNatKind(V2)) | |
| active#(U331(tt, N, XS)) | → | isNaturalKind#(N) | active#(isNaturalKind(sel(V1, V2))) | → | isNaturalKind#(V1) | |
| active#(isLNatKind(take(V1, V2))) | → | U171#(isNaturalKind(V1), V2) | proper#(U34(X1, X2)) | → | proper#(X1) | |
| active#(U83(X)) | → | U83#(active(X)) | proper#(U344(X1, X2, X3)) | → | proper#(X3) | |
| proper#(natsFrom(X)) | → | proper#(X) | proper#(U203(X1, X2, X3)) | → | proper#(X1) | |
| active#(U323(X1, X2, X3, X4)) | → | U323#(active(X1), X2, X3, X4) | active#(U93(X)) | → | active#(X) | |
| U181#(ok(X1), ok(X2)) | → | U181#(X1, X2) | active#(U327(pair(YS, ZS), X)) | → | pair#(cons(X, YS), ZS) | |
| proper#(U242(X1, X2, X3)) | → | proper#(X3) | active#(U243(tt, V1, V2)) | → | isLNatKind#(V2) | |
| proper#(U151(X)) | → | U151#(proper(X)) | U241#(ok(X1), ok(X2), ok(X3)) | → | U241#(X1, X2, X3) | |
| active#(isPLNat(pair(V1, V2))) | → | isLNatKind#(V1) | active#(tail(X)) | → | tail#(active(X)) | |
| active#(U111(X1, X2)) | → | U111#(active(X1), X2) | active#(U61(X1, X2)) | → | U61#(active(X1), X2) | |
| proper#(U151(X)) | → | proper#(X) | proper#(U254(X1, X2, X3)) | → | proper#(X1) | |
| active#(U22(tt, X, Y)) | → | U23#(isLNat(Y), X, Y) | proper#(U291(X1, X2, X3)) | → | proper#(X1) | |
| U245#(ok(X1), ok(X2)) | → | U245#(X1, X2) | active#(U321(X1, X2, X3, X4)) | → | active#(X1) | |
| active#(U293(X1, X2, X3)) | → | active#(X1) | active#(U183(X)) | → | U183#(active(X)) | |
| active#(U344(X1, X2, X3)) | → | U344#(active(X1), X2, X3) | active#(U122(X)) | → | active#(X) | |
| proper#(U242(X1, X2, X3)) | → | proper#(X1) | proper#(U32(X1, X2, X3)) | → | proper#(X1) | |
| proper#(U302(X1, X2)) | → | proper#(X2) | active#(U203(tt, V1, V2)) | → | isLNatKind#(V2) | |
| proper#(U105(X1, X2)) | → | U105#(proper(X1), proper(X2)) | active#(U261(X1, X2)) | → | active#(X1) | |
| U304#(mark(X1), X2) | → | U304#(X1, X2) | active#(U333(X1, X2)) | → | active#(X1) | |
| active#(U92(X1, X2)) | → | U92#(active(X1), X2) | active#(U343(tt, N, XS)) | → | isLNatKind#(XS) | |
| U82#(ok(X1), ok(X2)) | → | U82#(X1, X2) | U323#(mark(X1), X2, X3, X4) | → | U323#(X1, X2, X3, X4) | |
| proper#(U141(X)) | → | U141#(proper(X)) | proper#(U282(X1, X2)) | → | proper#(X2) | |
| active#(U253(tt, V1, V2)) | → | U254#(isLNatKind(V2), V1, V2) | U101#(mark(X1), X2, X3) | → | U101#(X1, X2, X3) | |
| active#(U251(X1, X2, X3)) | → | active#(X1) | proper#(U202(X1, X2, X3)) | → | U202#(proper(X1), proper(X2), proper(X3)) | |
| active#(afterNth(X1, X2)) | → | active#(X1) | active#(U251(X1, X2, X3)) | → | U251#(active(X1), X2, X3) | |
| active#(U83(X)) | → | active#(X) | proper#(U82(X1, X2)) | → | proper#(X2) | |
| proper#(U31(X1, X2, X3)) | → | proper#(X3) | U304#(ok(X1), ok(X2)) | → | U304#(X1, X2) | |
| active#(tail(cons(N, XS))) | → | U331#(isNatural(N), N, XS) | proper#(U245(X1, X2)) | → | proper#(X1) | |
| U172#(mark(X)) | → | U172#(X) | active#(U271(X1, X2)) | → | U271#(active(X1), X2) | |
| active#(U292(tt, N, XS)) | → | isLNat#(XS) | active#(U91(tt, V1)) | → | U92#(isLNatKind(V1), V1) | |
| proper#(U241(X1, X2, X3)) | → | proper#(X2) | proper#(U61(X1, X2)) | → | proper#(X1) | |
| fst#(ok(X)) | → | fst#(X) | active#(U121(X1, X2)) | → | U121#(active(X1), X2) | |
| active#(U105(tt, V2)) | → | U106#(isLNat(V2)) | active#(U22(X1, X2, X3)) | → | active#(X1) | |
| U73#(ok(X)) | → | U73#(X) | proper#(cons(X1, X2)) | → | cons#(proper(X1), proper(X2)) | |
| proper#(U182(X1, X2)) | → | proper#(X1) | proper#(U191(X1, X2)) | → | U191#(proper(X1), proper(X2)) | |
| active#(U131(X)) | → | active#(X) | proper#(U253(X1, X2, X3)) | → | proper#(X3) |
| active(U101(tt, V1, V2)) | → | mark(U102(isNaturalKind(V1), V1, V2)) | active(U102(tt, V1, V2)) | → | mark(U103(isLNatKind(V2), V1, V2)) | |
| active(U103(tt, V1, V2)) | → | mark(U104(isLNatKind(V2), V1, V2)) | active(U104(tt, V1, V2)) | → | mark(U105(isNatural(V1), V2)) | |
| active(U105(tt, V2)) | → | mark(U106(isLNat(V2))) | active(U106(tt)) | → | mark(tt) | |
| active(U11(tt, N, XS)) | → | mark(U12(isNaturalKind(N), N, XS)) | active(U111(tt, V2)) | → | mark(U112(isLNatKind(V2))) | |
| active(U112(tt)) | → | mark(tt) | active(U12(tt, N, XS)) | → | mark(U13(isLNat(XS), N, XS)) | |
| active(U121(tt, V2)) | → | mark(U122(isLNatKind(V2))) | active(U122(tt)) | → | mark(tt) | |
| active(U13(tt, N, XS)) | → | mark(U14(isLNatKind(XS), N, XS)) | active(U131(tt)) | → | mark(tt) | |
| active(U14(tt, N, XS)) | → | mark(snd(splitAt(N, XS))) | active(U141(tt)) | → | mark(tt) | |
| active(U151(tt)) | → | mark(tt) | active(U161(tt)) | → | mark(tt) | |
| active(U171(tt, V2)) | → | mark(U172(isLNatKind(V2))) | active(U172(tt)) | → | mark(tt) | |
| active(U181(tt, V1)) | → | mark(U182(isLNatKind(V1), V1)) | active(U182(tt, V1)) | → | mark(U183(isLNat(V1))) | |
| active(U183(tt)) | → | mark(tt) | active(U191(tt, V1)) | → | mark(U192(isNaturalKind(V1), V1)) | |
| active(U192(tt, V1)) | → | mark(U193(isNatural(V1))) | active(U193(tt)) | → | mark(tt) | |
| active(U201(tt, V1, V2)) | → | mark(U202(isNaturalKind(V1), V1, V2)) | active(U202(tt, V1, V2)) | → | mark(U203(isLNatKind(V2), V1, V2)) | |
| active(U203(tt, V1, V2)) | → | mark(U204(isLNatKind(V2), V1, V2)) | active(U204(tt, V1, V2)) | → | mark(U205(isNatural(V1), V2)) | |
| active(U205(tt, V2)) | → | mark(U206(isLNat(V2))) | active(U206(tt)) | → | mark(tt) | |
| active(U21(tt, X, Y)) | → | mark(U22(isLNatKind(X), X, Y)) | active(U211(tt)) | → | mark(tt) | |
| active(U22(tt, X, Y)) | → | mark(U23(isLNat(Y), X, Y)) | active(U221(tt)) | → | mark(tt) | |
| active(U23(tt, X, Y)) | → | mark(U24(isLNatKind(Y), X)) | active(U231(tt, V2)) | → | mark(U232(isLNatKind(V2))) | |
| active(U232(tt)) | → | mark(tt) | active(U24(tt, X)) | → | mark(X) | |
| active(U241(tt, V1, V2)) | → | mark(U242(isLNatKind(V1), V1, V2)) | active(U242(tt, V1, V2)) | → | mark(U243(isLNatKind(V2), V1, V2)) | |
| active(U243(tt, V1, V2)) | → | mark(U244(isLNatKind(V2), V1, V2)) | active(U244(tt, V1, V2)) | → | mark(U245(isLNat(V1), V2)) | |
| active(U245(tt, V2)) | → | mark(U246(isLNat(V2))) | active(U246(tt)) | → | mark(tt) | |
| active(U251(tt, V1, V2)) | → | mark(U252(isNaturalKind(V1), V1, V2)) | active(U252(tt, V1, V2)) | → | mark(U253(isLNatKind(V2), V1, V2)) | |
| active(U253(tt, V1, V2)) | → | mark(U254(isLNatKind(V2), V1, V2)) | active(U254(tt, V1, V2)) | → | mark(U255(isNatural(V1), V2)) | |
| active(U255(tt, V2)) | → | mark(U256(isLNat(V2))) | active(U256(tt)) | → | mark(tt) | |
| active(U261(tt, V2)) | → | mark(U262(isLNatKind(V2))) | active(U262(tt)) | → | mark(tt) | |
| active(U271(tt, V2)) | → | mark(U272(isLNatKind(V2))) | active(U272(tt)) | → | mark(tt) | |
| active(U281(tt, N)) | → | mark(U282(isNaturalKind(N), N)) | active(U282(tt, N)) | → | mark(cons(N, natsFrom(s(N)))) | |
| active(U291(tt, N, XS)) | → | mark(U292(isNaturalKind(N), N, XS)) | active(U292(tt, N, XS)) | → | mark(U293(isLNat(XS), N, XS)) | |
| active(U293(tt, N, XS)) | → | mark(U294(isLNatKind(XS), N, XS)) | active(U294(tt, N, XS)) | → | mark(head(afterNth(N, XS))) | |
| active(U301(tt, X, Y)) | → | mark(U302(isLNatKind(X), Y)) | active(U302(tt, Y)) | → | mark(U303(isLNat(Y), Y)) | |
| active(U303(tt, Y)) | → | mark(U304(isLNatKind(Y), Y)) | active(U304(tt, Y)) | → | mark(Y) | |
| active(U31(tt, N, XS)) | → | mark(U32(isNaturalKind(N), N, XS)) | active(U311(tt, XS)) | → | mark(U312(isLNatKind(XS), XS)) | |
| active(U312(tt, XS)) | → | mark(pair(nil, XS)) | active(U32(tt, N, XS)) | → | mark(U33(isLNat(XS), N, XS)) | |
| active(U321(tt, N, X, XS)) | → | mark(U322(isNaturalKind(N), N, X, XS)) | active(U322(tt, N, X, XS)) | → | mark(U323(isNatural(X), N, X, XS)) | |
| active(U323(tt, N, X, XS)) | → | mark(U324(isNaturalKind(X), N, X, XS)) | active(U324(tt, N, X, XS)) | → | mark(U325(isLNat(XS), N, X, XS)) | |
| active(U325(tt, N, X, XS)) | → | mark(U326(isLNatKind(XS), N, X, XS)) | active(U326(tt, N, X, XS)) | → | mark(U327(splitAt(N, XS), X)) | |
| active(U327(pair(YS, ZS), X)) | → | mark(pair(cons(X, YS), ZS)) | active(U33(tt, N, XS)) | → | mark(U34(isLNatKind(XS), N)) | |
| active(U331(tt, N, XS)) | → | mark(U332(isNaturalKind(N), XS)) | active(U332(tt, XS)) | → | mark(U333(isLNat(XS), XS)) | |
| active(U333(tt, XS)) | → | mark(U334(isLNatKind(XS), XS)) | active(U334(tt, XS)) | → | mark(XS) | |
| active(U34(tt, N)) | → | mark(N) | active(U341(tt, N, XS)) | → | mark(U342(isNaturalKind(N), N, XS)) | |
| active(U342(tt, N, XS)) | → | mark(U343(isLNat(XS), N, XS)) | active(U343(tt, N, XS)) | → | mark(U344(isLNatKind(XS), N, XS)) | |
| active(U344(tt, N, XS)) | → | mark(fst(splitAt(N, XS))) | active(U41(tt, V1, V2)) | → | mark(U42(isNaturalKind(V1), V1, V2)) | |
| active(U42(tt, V1, V2)) | → | mark(U43(isLNatKind(V2), V1, V2)) | active(U43(tt, V1, V2)) | → | mark(U44(isLNatKind(V2), V1, V2)) | |
| active(U44(tt, V1, V2)) | → | mark(U45(isNatural(V1), V2)) | active(U45(tt, V2)) | → | mark(U46(isLNat(V2))) | |
| active(U46(tt)) | → | mark(tt) | active(U51(tt, V1, V2)) | → | mark(U52(isNaturalKind(V1), V1, V2)) | |
| active(U52(tt, V1, V2)) | → | mark(U53(isLNatKind(V2), V1, V2)) | active(U53(tt, V1, V2)) | → | mark(U54(isLNatKind(V2), V1, V2)) | |
| active(U54(tt, V1, V2)) | → | mark(U55(isNatural(V1), V2)) | active(U55(tt, V2)) | → | mark(U56(isLNat(V2))) | |
| active(U56(tt)) | → | mark(tt) | active(U61(tt, V1)) | → | mark(U62(isPLNatKind(V1), V1)) | |
| active(U62(tt, V1)) | → | mark(U63(isPLNat(V1))) | active(U63(tt)) | → | mark(tt) | |
| active(U71(tt, V1)) | → | mark(U72(isNaturalKind(V1), V1)) | active(U72(tt, V1)) | → | mark(U73(isNatural(V1))) | |
| active(U73(tt)) | → | mark(tt) | active(U81(tt, V1)) | → | mark(U82(isPLNatKind(V1), V1)) | |
| active(U82(tt, V1)) | → | mark(U83(isPLNat(V1))) | active(U83(tt)) | → | mark(tt) | |
| active(U91(tt, V1)) | → | mark(U92(isLNatKind(V1), V1)) | active(U92(tt, V1)) | → | mark(U93(isLNat(V1))) | |
| active(U93(tt)) | → | mark(tt) | active(afterNth(N, XS)) | → | mark(U11(isNatural(N), N, XS)) | |
| active(fst(pair(X, Y))) | → | mark(U21(isLNat(X), X, Y)) | active(head(cons(N, XS))) | → | mark(U31(isNatural(N), N, XS)) | |
| active(isLNat(nil)) | → | mark(tt) | active(isLNat(afterNth(V1, V2))) | → | mark(U41(isNaturalKind(V1), V1, V2)) | |
| active(isLNat(cons(V1, V2))) | → | mark(U51(isNaturalKind(V1), V1, V2)) | active(isLNat(fst(V1))) | → | mark(U61(isPLNatKind(V1), V1)) | |
| active(isLNat(natsFrom(V1))) | → | mark(U71(isNaturalKind(V1), V1)) | active(isLNat(snd(V1))) | → | mark(U81(isPLNatKind(V1), V1)) | |
| active(isLNat(tail(V1))) | → | mark(U91(isLNatKind(V1), V1)) | active(isLNat(take(V1, V2))) | → | mark(U101(isNaturalKind(V1), V1, V2)) | |
| active(isLNatKind(nil)) | → | mark(tt) | active(isLNatKind(afterNth(V1, V2))) | → | mark(U111(isNaturalKind(V1), V2)) | |
| active(isLNatKind(cons(V1, V2))) | → | mark(U121(isNaturalKind(V1), V2)) | active(isLNatKind(fst(V1))) | → | mark(U131(isPLNatKind(V1))) | |
| active(isLNatKind(natsFrom(V1))) | → | mark(U141(isNaturalKind(V1))) | active(isLNatKind(snd(V1))) | → | mark(U151(isPLNatKind(V1))) | |
| active(isLNatKind(tail(V1))) | → | mark(U161(isLNatKind(V1))) | active(isLNatKind(take(V1, V2))) | → | mark(U171(isNaturalKind(V1), V2)) | |
| active(isNatural(0)) | → | mark(tt) | active(isNatural(head(V1))) | → | mark(U181(isLNatKind(V1), V1)) | |
| active(isNatural(s(V1))) | → | mark(U191(isNaturalKind(V1), V1)) | active(isNatural(sel(V1, V2))) | → | mark(U201(isNaturalKind(V1), V1, V2)) | |
| active(isNaturalKind(0)) | → | mark(tt) | active(isNaturalKind(head(V1))) | → | mark(U211(isLNatKind(V1))) | |
| active(isNaturalKind(s(V1))) | → | mark(U221(isNaturalKind(V1))) | active(isNaturalKind(sel(V1, V2))) | → | mark(U231(isNaturalKind(V1), V2)) | |
| active(isPLNat(pair(V1, V2))) | → | mark(U241(isLNatKind(V1), V1, V2)) | active(isPLNat(splitAt(V1, V2))) | → | mark(U251(isNaturalKind(V1), V1, V2)) | |
| active(isPLNatKind(pair(V1, V2))) | → | mark(U261(isLNatKind(V1), V2)) | active(isPLNatKind(splitAt(V1, V2))) | → | mark(U271(isNaturalKind(V1), V2)) | |
| active(natsFrom(N)) | → | mark(U281(isNatural(N), N)) | active(sel(N, XS)) | → | mark(U291(isNatural(N), N, XS)) | |
| active(snd(pair(X, Y))) | → | mark(U301(isLNat(X), X, Y)) | active(splitAt(0, XS)) | → | mark(U311(isLNat(XS), XS)) | |
| active(splitAt(s(N), cons(X, XS))) | → | mark(U321(isNatural(N), N, X, XS)) | active(tail(cons(N, XS))) | → | mark(U331(isNatural(N), N, XS)) | |
| active(take(N, XS)) | → | mark(U341(isNatural(N), N, XS)) | active(U101(X1, X2, X3)) | → | U101(active(X1), X2, X3) | |
| active(U102(X1, X2, X3)) | → | U102(active(X1), X2, X3) | active(U103(X1, X2, X3)) | → | U103(active(X1), X2, X3) | |
| active(U104(X1, X2, X3)) | → | U104(active(X1), X2, X3) | active(U105(X1, X2)) | → | U105(active(X1), X2) | |
| active(U106(X)) | → | U106(active(X)) | active(U11(X1, X2, X3)) | → | U11(active(X1), X2, X3) | |
| active(U12(X1, X2, X3)) | → | U12(active(X1), X2, X3) | active(U111(X1, X2)) | → | U111(active(X1), X2) | |
| active(U112(X)) | → | U112(active(X)) | active(U13(X1, X2, X3)) | → | U13(active(X1), X2, X3) | |
| active(U121(X1, X2)) | → | U121(active(X1), X2) | active(U122(X)) | → | U122(active(X)) | |
| active(U14(X1, X2, X3)) | → | U14(active(X1), X2, X3) | active(U131(X)) | → | U131(active(X)) | |
| active(snd(X)) | → | snd(active(X)) | active(splitAt(X1, X2)) | → | splitAt(active(X1), X2) | |
| active(splitAt(X1, X2)) | → | splitAt(X1, active(X2)) | active(U141(X)) | → | U141(active(X)) | |
| active(U151(X)) | → | U151(active(X)) | active(U161(X)) | → | U161(active(X)) | |
| active(U171(X1, X2)) | → | U171(active(X1), X2) | active(U172(X)) | → | U172(active(X)) | |
| active(U181(X1, X2)) | → | U181(active(X1), X2) | active(U182(X1, X2)) | → | U182(active(X1), X2) | |
| active(U183(X)) | → | U183(active(X)) | active(U191(X1, X2)) | → | U191(active(X1), X2) | |
| active(U192(X1, X2)) | → | U192(active(X1), X2) | active(U193(X)) | → | U193(active(X)) | |
| active(U201(X1, X2, X3)) | → | U201(active(X1), X2, X3) | active(U202(X1, X2, X3)) | → | U202(active(X1), X2, X3) | |
| active(U203(X1, X2, X3)) | → | U203(active(X1), X2, X3) | active(U204(X1, X2, X3)) | → | U204(active(X1), X2, X3) | |
| active(U205(X1, X2)) | → | U205(active(X1), X2) | active(U206(X)) | → | U206(active(X)) | |
| active(U21(X1, X2, X3)) | → | U21(active(X1), X2, X3) | active(U22(X1, X2, X3)) | → | U22(active(X1), X2, X3) | |
| active(U211(X)) | → | U211(active(X)) | active(U23(X1, X2, X3)) | → | U23(active(X1), X2, X3) | |
| active(U221(X)) | → | U221(active(X)) | active(U24(X1, X2)) | → | U24(active(X1), X2) | |
| active(U231(X1, X2)) | → | U231(active(X1), X2) | active(U232(X)) | → | U232(active(X)) | |
| active(U241(X1, X2, X3)) | → | U241(active(X1), X2, X3) | active(U242(X1, X2, X3)) | → | U242(active(X1), X2, X3) | |
| active(U243(X1, X2, X3)) | → | U243(active(X1), X2, X3) | active(U244(X1, X2, X3)) | → | U244(active(X1), X2, X3) | |
| active(U245(X1, X2)) | → | U245(active(X1), X2) | active(U246(X)) | → | U246(active(X)) | |
| active(U251(X1, X2, X3)) | → | U251(active(X1), X2, X3) | active(U252(X1, X2, X3)) | → | U252(active(X1), X2, X3) | |
| active(U253(X1, X2, X3)) | → | U253(active(X1), X2, X3) | active(U254(X1, X2, X3)) | → | U254(active(X1), X2, X3) | |
| active(U255(X1, X2)) | → | U255(active(X1), X2) | active(U256(X)) | → | U256(active(X)) | |
| active(U261(X1, X2)) | → | U261(active(X1), X2) | active(U262(X)) | → | U262(active(X)) | |
| active(U271(X1, X2)) | → | U271(active(X1), X2) | active(U272(X)) | → | U272(active(X)) | |
| active(U281(X1, X2)) | → | U281(active(X1), X2) | active(U282(X1, X2)) | → | U282(active(X1), X2) | |
| active(cons(X1, X2)) | → | cons(active(X1), X2) | active(natsFrom(X)) | → | natsFrom(active(X)) | |
| active(s(X)) | → | s(active(X)) | active(U291(X1, X2, X3)) | → | U291(active(X1), X2, X3) | |
| active(U292(X1, X2, X3)) | → | U292(active(X1), X2, X3) | active(U293(X1, X2, X3)) | → | U293(active(X1), X2, X3) | |
| active(U294(X1, X2, X3)) | → | U294(active(X1), X2, X3) | active(head(X)) | → | head(active(X)) | |
| active(afterNth(X1, X2)) | → | afterNth(active(X1), X2) | active(afterNth(X1, X2)) | → | afterNth(X1, active(X2)) | |
| active(U301(X1, X2, X3)) | → | U301(active(X1), X2, X3) | active(U302(X1, X2)) | → | U302(active(X1), X2) | |
| active(U303(X1, X2)) | → | U303(active(X1), X2) | active(U304(X1, X2)) | → | U304(active(X1), X2) | |
| active(U31(X1, X2, X3)) | → | U31(active(X1), X2, X3) | active(U32(X1, X2, X3)) | → | U32(active(X1), X2, X3) | |
| active(U311(X1, X2)) | → | U311(active(X1), X2) | active(U312(X1, X2)) | → | U312(active(X1), X2) | |
| active(pair(X1, X2)) | → | pair(active(X1), X2) | active(pair(X1, X2)) | → | pair(X1, active(X2)) | |
| active(U33(X1, X2, X3)) | → | U33(active(X1), X2, X3) | active(U321(X1, X2, X3, X4)) | → | U321(active(X1), X2, X3, X4) | |
| active(U322(X1, X2, X3, X4)) | → | U322(active(X1), X2, X3, X4) | active(U323(X1, X2, X3, X4)) | → | U323(active(X1), X2, X3, X4) | |
| active(U324(X1, X2, X3, X4)) | → | U324(active(X1), X2, X3, X4) | active(U325(X1, X2, X3, X4)) | → | U325(active(X1), X2, X3, X4) | |
| active(U326(X1, X2, X3, X4)) | → | U326(active(X1), X2, X3, X4) | active(U327(X1, X2)) | → | U327(active(X1), X2) | |
| active(U34(X1, X2)) | → | U34(active(X1), X2) | active(U331(X1, X2, X3)) | → | U331(active(X1), X2, X3) | |
| active(U332(X1, X2)) | → | U332(active(X1), X2) | active(U333(X1, X2)) | → | U333(active(X1), X2) | |
| active(U334(X1, X2)) | → | U334(active(X1), X2) | active(U341(X1, X2, X3)) | → | U341(active(X1), X2, X3) | |
| active(U342(X1, X2, X3)) | → | U342(active(X1), X2, X3) | active(U343(X1, X2, X3)) | → | U343(active(X1), X2, X3) | |
| active(U344(X1, X2, X3)) | → | U344(active(X1), X2, X3) | active(fst(X)) | → | fst(active(X)) | |
| active(U41(X1, X2, X3)) | → | U41(active(X1), X2, X3) | active(U42(X1, X2, X3)) | → | U42(active(X1), X2, X3) | |
| active(U43(X1, X2, X3)) | → | U43(active(X1), X2, X3) | active(U44(X1, X2, X3)) | → | U44(active(X1), X2, X3) | |
| active(U45(X1, X2)) | → | U45(active(X1), X2) | active(U46(X)) | → | U46(active(X)) | |
| active(U51(X1, X2, X3)) | → | U51(active(X1), X2, X3) | active(U52(X1, X2, X3)) | → | U52(active(X1), X2, X3) | |
| active(U53(X1, X2, X3)) | → | U53(active(X1), X2, X3) | active(U54(X1, X2, X3)) | → | U54(active(X1), X2, X3) | |
| active(U55(X1, X2)) | → | U55(active(X1), X2) | active(U56(X)) | → | U56(active(X)) | |
| active(U61(X1, X2)) | → | U61(active(X1), X2) | active(U62(X1, X2)) | → | U62(active(X1), X2) | |
| active(U63(X)) | → | U63(active(X)) | active(U71(X1, X2)) | → | U71(active(X1), X2) | |
| active(U72(X1, X2)) | → | U72(active(X1), X2) | active(U73(X)) | → | U73(active(X)) | |
| active(U81(X1, X2)) | → | U81(active(X1), X2) | active(U82(X1, X2)) | → | U82(active(X1), X2) | |
| active(U83(X)) | → | U83(active(X)) | active(U91(X1, X2)) | → | U91(active(X1), X2) | |
| active(U92(X1, X2)) | → | U92(active(X1), X2) | active(U93(X)) | → | U93(active(X)) | |
| active(tail(X)) | → | tail(active(X)) | active(take(X1, X2)) | → | take(active(X1), X2) | |
| active(take(X1, X2)) | → | take(X1, active(X2)) | active(sel(X1, X2)) | → | sel(active(X1), X2) | |
| active(sel(X1, X2)) | → | sel(X1, active(X2)) | U101(mark(X1), X2, X3) | → | mark(U101(X1, X2, X3)) | |
| U102(mark(X1), X2, X3) | → | mark(U102(X1, X2, X3)) | U103(mark(X1), X2, X3) | → | mark(U103(X1, X2, X3)) | |
| U104(mark(X1), X2, X3) | → | mark(U104(X1, X2, X3)) | U105(mark(X1), X2) | → | mark(U105(X1, X2)) | |
| U106(mark(X)) | → | mark(U106(X)) | U11(mark(X1), X2, X3) | → | mark(U11(X1, X2, X3)) | |
| U12(mark(X1), X2, X3) | → | mark(U12(X1, X2, X3)) | U111(mark(X1), X2) | → | mark(U111(X1, X2)) | |
| U112(mark(X)) | → | mark(U112(X)) | U13(mark(X1), X2, X3) | → | mark(U13(X1, X2, X3)) | |
| U121(mark(X1), X2) | → | mark(U121(X1, X2)) | U122(mark(X)) | → | mark(U122(X)) | |
| U14(mark(X1), X2, X3) | → | mark(U14(X1, X2, X3)) | U131(mark(X)) | → | mark(U131(X)) | |
| snd(mark(X)) | → | mark(snd(X)) | splitAt(mark(X1), X2) | → | mark(splitAt(X1, X2)) | |
| splitAt(X1, mark(X2)) | → | mark(splitAt(X1, X2)) | U141(mark(X)) | → | mark(U141(X)) | |
| U151(mark(X)) | → | mark(U151(X)) | U161(mark(X)) | → | mark(U161(X)) | |
| U171(mark(X1), X2) | → | mark(U171(X1, X2)) | U172(mark(X)) | → | mark(U172(X)) | |
| U181(mark(X1), X2) | → | mark(U181(X1, X2)) | U182(mark(X1), X2) | → | mark(U182(X1, X2)) | |
| U183(mark(X)) | → | mark(U183(X)) | U191(mark(X1), X2) | → | mark(U191(X1, X2)) | |
| U192(mark(X1), X2) | → | mark(U192(X1, X2)) | U193(mark(X)) | → | mark(U193(X)) | |
| U201(mark(X1), X2, X3) | → | mark(U201(X1, X2, X3)) | U202(mark(X1), X2, X3) | → | mark(U202(X1, X2, X3)) | |
| U203(mark(X1), X2, X3) | → | mark(U203(X1, X2, X3)) | U204(mark(X1), X2, X3) | → | mark(U204(X1, X2, X3)) | |
| U205(mark(X1), X2) | → | mark(U205(X1, X2)) | U206(mark(X)) | → | mark(U206(X)) | |
| U21(mark(X1), X2, X3) | → | mark(U21(X1, X2, X3)) | U22(mark(X1), X2, X3) | → | mark(U22(X1, X2, X3)) | |
| U211(mark(X)) | → | mark(U211(X)) | U23(mark(X1), X2, X3) | → | mark(U23(X1, X2, X3)) | |
| U221(mark(X)) | → | mark(U221(X)) | U24(mark(X1), X2) | → | mark(U24(X1, X2)) | |
| U231(mark(X1), X2) | → | mark(U231(X1, X2)) | U232(mark(X)) | → | mark(U232(X)) | |
| U241(mark(X1), X2, X3) | → | mark(U241(X1, X2, X3)) | U242(mark(X1), X2, X3) | → | mark(U242(X1, X2, X3)) | |
| U243(mark(X1), X2, X3) | → | mark(U243(X1, X2, X3)) | U244(mark(X1), X2, X3) | → | mark(U244(X1, X2, X3)) | |
| U245(mark(X1), X2) | → | mark(U245(X1, X2)) | U246(mark(X)) | → | mark(U246(X)) | |
| U251(mark(X1), X2, X3) | → | mark(U251(X1, X2, X3)) | U252(mark(X1), X2, X3) | → | mark(U252(X1, X2, X3)) | |
| U253(mark(X1), X2, X3) | → | mark(U253(X1, X2, X3)) | U254(mark(X1), X2, X3) | → | mark(U254(X1, X2, X3)) | |
| U255(mark(X1), X2) | → | mark(U255(X1, X2)) | U256(mark(X)) | → | mark(U256(X)) | |
| U261(mark(X1), X2) | → | mark(U261(X1, X2)) | U262(mark(X)) | → | mark(U262(X)) | |
| U271(mark(X1), X2) | → | mark(U271(X1, X2)) | U272(mark(X)) | → | mark(U272(X)) | |
| U281(mark(X1), X2) | → | mark(U281(X1, X2)) | U282(mark(X1), X2) | → | mark(U282(X1, X2)) | |
| cons(mark(X1), X2) | → | mark(cons(X1, X2)) | natsFrom(mark(X)) | → | mark(natsFrom(X)) | |
| s(mark(X)) | → | mark(s(X)) | U291(mark(X1), X2, X3) | → | mark(U291(X1, X2, X3)) | |
| U292(mark(X1), X2, X3) | → | mark(U292(X1, X2, X3)) | U293(mark(X1), X2, X3) | → | mark(U293(X1, X2, X3)) | |
| U294(mark(X1), X2, X3) | → | mark(U294(X1, X2, X3)) | head(mark(X)) | → | mark(head(X)) | |
| afterNth(mark(X1), X2) | → | mark(afterNth(X1, X2)) | afterNth(X1, mark(X2)) | → | mark(afterNth(X1, X2)) | |
| U301(mark(X1), X2, X3) | → | mark(U301(X1, X2, X3)) | U302(mark(X1), X2) | → | mark(U302(X1, X2)) | |
| U303(mark(X1), X2) | → | mark(U303(X1, X2)) | U304(mark(X1), X2) | → | mark(U304(X1, X2)) | |
| U31(mark(X1), X2, X3) | → | mark(U31(X1, X2, X3)) | U32(mark(X1), X2, X3) | → | mark(U32(X1, X2, X3)) | |
| U311(mark(X1), X2) | → | mark(U311(X1, X2)) | U312(mark(X1), X2) | → | mark(U312(X1, X2)) | |
| pair(mark(X1), X2) | → | mark(pair(X1, X2)) | pair(X1, mark(X2)) | → | mark(pair(X1, X2)) | |
| U33(mark(X1), X2, X3) | → | mark(U33(X1, X2, X3)) | U321(mark(X1), X2, X3, X4) | → | mark(U321(X1, X2, X3, X4)) | |
| U322(mark(X1), X2, X3, X4) | → | mark(U322(X1, X2, X3, X4)) | U323(mark(X1), X2, X3, X4) | → | mark(U323(X1, X2, X3, X4)) | |
| U324(mark(X1), X2, X3, X4) | → | mark(U324(X1, X2, X3, X4)) | U325(mark(X1), X2, X3, X4) | → | mark(U325(X1, X2, X3, X4)) | |
| U326(mark(X1), X2, X3, X4) | → | mark(U326(X1, X2, X3, X4)) | U327(mark(X1), X2) | → | mark(U327(X1, X2)) | |
| U34(mark(X1), X2) | → | mark(U34(X1, X2)) | U331(mark(X1), X2, X3) | → | mark(U331(X1, X2, X3)) | |
| U332(mark(X1), X2) | → | mark(U332(X1, X2)) | U333(mark(X1), X2) | → | mark(U333(X1, X2)) | |
| U334(mark(X1), X2) | → | mark(U334(X1, X2)) | U341(mark(X1), X2, X3) | → | mark(U341(X1, X2, X3)) | |
| U342(mark(X1), X2, X3) | → | mark(U342(X1, X2, X3)) | U343(mark(X1), X2, X3) | → | mark(U343(X1, X2, X3)) | |
| U344(mark(X1), X2, X3) | → | mark(U344(X1, X2, X3)) | fst(mark(X)) | → | mark(fst(X)) | |
| U41(mark(X1), X2, X3) | → | mark(U41(X1, X2, X3)) | U42(mark(X1), X2, X3) | → | mark(U42(X1, X2, X3)) | |
| U43(mark(X1), X2, X3) | → | mark(U43(X1, X2, X3)) | U44(mark(X1), X2, X3) | → | mark(U44(X1, X2, X3)) | |
| U45(mark(X1), X2) | → | mark(U45(X1, X2)) | U46(mark(X)) | → | mark(U46(X)) | |
| U51(mark(X1), X2, X3) | → | mark(U51(X1, X2, X3)) | U52(mark(X1), X2, X3) | → | mark(U52(X1, X2, X3)) | |
| U53(mark(X1), X2, X3) | → | mark(U53(X1, X2, X3)) | U54(mark(X1), X2, X3) | → | mark(U54(X1, X2, X3)) | |
| U55(mark(X1), X2) | → | mark(U55(X1, X2)) | U56(mark(X)) | → | mark(U56(X)) | |
| U61(mark(X1), X2) | → | mark(U61(X1, X2)) | U62(mark(X1), X2) | → | mark(U62(X1, X2)) | |
| U63(mark(X)) | → | mark(U63(X)) | U71(mark(X1), X2) | → | mark(U71(X1, X2)) | |
| U72(mark(X1), X2) | → | mark(U72(X1, X2)) | U73(mark(X)) | → | mark(U73(X)) | |
| U81(mark(X1), X2) | → | mark(U81(X1, X2)) | U82(mark(X1), X2) | → | mark(U82(X1, X2)) | |
| U83(mark(X)) | → | mark(U83(X)) | U91(mark(X1), X2) | → | mark(U91(X1, X2)) | |
| U92(mark(X1), X2) | → | mark(U92(X1, X2)) | U93(mark(X)) | → | mark(U93(X)) | |
| tail(mark(X)) | → | mark(tail(X)) | take(mark(X1), X2) | → | mark(take(X1, X2)) | |
| take(X1, mark(X2)) | → | mark(take(X1, X2)) | sel(mark(X1), X2) | → | mark(sel(X1, X2)) | |
| sel(X1, mark(X2)) | → | mark(sel(X1, X2)) | proper(U101(X1, X2, X3)) | → | U101(proper(X1), proper(X2), proper(X3)) | |
| proper(tt) | → | ok(tt) | proper(U102(X1, X2, X3)) | → | U102(proper(X1), proper(X2), proper(X3)) | |
| proper(isNaturalKind(X)) | → | isNaturalKind(proper(X)) | proper(U103(X1, X2, X3)) | → | U103(proper(X1), proper(X2), proper(X3)) | |
| proper(isLNatKind(X)) | → | isLNatKind(proper(X)) | proper(U104(X1, X2, X3)) | → | U104(proper(X1), proper(X2), proper(X3)) | |
| proper(U105(X1, X2)) | → | U105(proper(X1), proper(X2)) | proper(isNatural(X)) | → | isNatural(proper(X)) | |
| proper(U106(X)) | → | U106(proper(X)) | proper(isLNat(X)) | → | isLNat(proper(X)) | |
| proper(U11(X1, X2, X3)) | → | U11(proper(X1), proper(X2), proper(X3)) | proper(U12(X1, X2, X3)) | → | U12(proper(X1), proper(X2), proper(X3)) | |
| proper(U111(X1, X2)) | → | U111(proper(X1), proper(X2)) | proper(U112(X)) | → | U112(proper(X)) | |
| proper(U13(X1, X2, X3)) | → | U13(proper(X1), proper(X2), proper(X3)) | proper(U121(X1, X2)) | → | U121(proper(X1), proper(X2)) | |
| proper(U122(X)) | → | U122(proper(X)) | proper(U14(X1, X2, X3)) | → | U14(proper(X1), proper(X2), proper(X3)) | |
| proper(U131(X)) | → | U131(proper(X)) | proper(snd(X)) | → | snd(proper(X)) | |
| proper(splitAt(X1, X2)) | → | splitAt(proper(X1), proper(X2)) | proper(U141(X)) | → | U141(proper(X)) | |
| proper(U151(X)) | → | U151(proper(X)) | proper(U161(X)) | → | U161(proper(X)) | |
| proper(U171(X1, X2)) | → | U171(proper(X1), proper(X2)) | proper(U172(X)) | → | U172(proper(X)) | |
| proper(U181(X1, X2)) | → | U181(proper(X1), proper(X2)) | proper(U182(X1, X2)) | → | U182(proper(X1), proper(X2)) | |
| proper(U183(X)) | → | U183(proper(X)) | proper(U191(X1, X2)) | → | U191(proper(X1), proper(X2)) | |
| proper(U192(X1, X2)) | → | U192(proper(X1), proper(X2)) | proper(U193(X)) | → | U193(proper(X)) | |
| proper(U201(X1, X2, X3)) | → | U201(proper(X1), proper(X2), proper(X3)) | proper(U202(X1, X2, X3)) | → | U202(proper(X1), proper(X2), proper(X3)) | |
| proper(U203(X1, X2, X3)) | → | U203(proper(X1), proper(X2), proper(X3)) | proper(U204(X1, X2, X3)) | → | U204(proper(X1), proper(X2), proper(X3)) | |
| proper(U205(X1, X2)) | → | U205(proper(X1), proper(X2)) | proper(U206(X)) | → | U206(proper(X)) | |
| proper(U21(X1, X2, X3)) | → | U21(proper(X1), proper(X2), proper(X3)) | proper(U22(X1, X2, X3)) | → | U22(proper(X1), proper(X2), proper(X3)) | |
| proper(U211(X)) | → | U211(proper(X)) | proper(U23(X1, X2, X3)) | → | U23(proper(X1), proper(X2), proper(X3)) | |
| proper(U221(X)) | → | U221(proper(X)) | proper(U24(X1, X2)) | → | U24(proper(X1), proper(X2)) | |
| proper(U231(X1, X2)) | → | U231(proper(X1), proper(X2)) | proper(U232(X)) | → | U232(proper(X)) | |
| proper(U241(X1, X2, X3)) | → | U241(proper(X1), proper(X2), proper(X3)) | proper(U242(X1, X2, X3)) | → | U242(proper(X1), proper(X2), proper(X3)) | |
| proper(U243(X1, X2, X3)) | → | U243(proper(X1), proper(X2), proper(X3)) | proper(U244(X1, X2, X3)) | → | U244(proper(X1), proper(X2), proper(X3)) | |
| proper(U245(X1, X2)) | → | U245(proper(X1), proper(X2)) | proper(U246(X)) | → | U246(proper(X)) | |
| proper(U251(X1, X2, X3)) | → | U251(proper(X1), proper(X2), proper(X3)) | proper(U252(X1, X2, X3)) | → | U252(proper(X1), proper(X2), proper(X3)) | |
| proper(U253(X1, X2, X3)) | → | U253(proper(X1), proper(X2), proper(X3)) | proper(U254(X1, X2, X3)) | → | U254(proper(X1), proper(X2), proper(X3)) | |
| proper(U255(X1, X2)) | → | U255(proper(X1), proper(X2)) | proper(U256(X)) | → | U256(proper(X)) | |
| proper(U261(X1, X2)) | → | U261(proper(X1), proper(X2)) | proper(U262(X)) | → | U262(proper(X)) | |
| proper(U271(X1, X2)) | → | U271(proper(X1), proper(X2)) | proper(U272(X)) | → | U272(proper(X)) | |
| proper(U281(X1, X2)) | → | U281(proper(X1), proper(X2)) | proper(U282(X1, X2)) | → | U282(proper(X1), proper(X2)) | |
| proper(cons(X1, X2)) | → | cons(proper(X1), proper(X2)) | proper(natsFrom(X)) | → | natsFrom(proper(X)) | |
| proper(s(X)) | → | s(proper(X)) | proper(U291(X1, X2, X3)) | → | U291(proper(X1), proper(X2), proper(X3)) | |
| proper(U292(X1, X2, X3)) | → | U292(proper(X1), proper(X2), proper(X3)) | proper(U293(X1, X2, X3)) | → | U293(proper(X1), proper(X2), proper(X3)) | |
| proper(U294(X1, X2, X3)) | → | U294(proper(X1), proper(X2), proper(X3)) | proper(head(X)) | → | head(proper(X)) | |
| proper(afterNth(X1, X2)) | → | afterNth(proper(X1), proper(X2)) | proper(U301(X1, X2, X3)) | → | U301(proper(X1), proper(X2), proper(X3)) | |
| proper(U302(X1, X2)) | → | U302(proper(X1), proper(X2)) | proper(U303(X1, X2)) | → | U303(proper(X1), proper(X2)) | |
| proper(U304(X1, X2)) | → | U304(proper(X1), proper(X2)) | proper(U31(X1, X2, X3)) | → | U31(proper(X1), proper(X2), proper(X3)) | |
| proper(U32(X1, X2, X3)) | → | U32(proper(X1), proper(X2), proper(X3)) | proper(U311(X1, X2)) | → | U311(proper(X1), proper(X2)) | |
| proper(U312(X1, X2)) | → | U312(proper(X1), proper(X2)) | proper(pair(X1, X2)) | → | pair(proper(X1), proper(X2)) | |
| proper(nil) | → | ok(nil) | proper(U33(X1, X2, X3)) | → | U33(proper(X1), proper(X2), proper(X3)) | |
| proper(U321(X1, X2, X3, X4)) | → | U321(proper(X1), proper(X2), proper(X3), proper(X4)) | proper(U322(X1, X2, X3, X4)) | → | U322(proper(X1), proper(X2), proper(X3), proper(X4)) | |
| proper(U323(X1, X2, X3, X4)) | → | U323(proper(X1), proper(X2), proper(X3), proper(X4)) | proper(U324(X1, X2, X3, X4)) | → | U324(proper(X1), proper(X2), proper(X3), proper(X4)) | |
| proper(U325(X1, X2, X3, X4)) | → | U325(proper(X1), proper(X2), proper(X3), proper(X4)) | proper(U326(X1, X2, X3, X4)) | → | U326(proper(X1), proper(X2), proper(X3), proper(X4)) | |
| proper(U327(X1, X2)) | → | U327(proper(X1), proper(X2)) | proper(U34(X1, X2)) | → | U34(proper(X1), proper(X2)) | |
| proper(U331(X1, X2, X3)) | → | U331(proper(X1), proper(X2), proper(X3)) | proper(U332(X1, X2)) | → | U332(proper(X1), proper(X2)) | |
| proper(U333(X1, X2)) | → | U333(proper(X1), proper(X2)) | proper(U334(X1, X2)) | → | U334(proper(X1), proper(X2)) | |
| proper(U341(X1, X2, X3)) | → | U341(proper(X1), proper(X2), proper(X3)) | proper(U342(X1, X2, X3)) | → | U342(proper(X1), proper(X2), proper(X3)) | |
| proper(U343(X1, X2, X3)) | → | U343(proper(X1), proper(X2), proper(X3)) | proper(U344(X1, X2, X3)) | → | U344(proper(X1), proper(X2), proper(X3)) | |
| proper(fst(X)) | → | fst(proper(X)) | proper(U41(X1, X2, X3)) | → | U41(proper(X1), proper(X2), proper(X3)) | |
| proper(U42(X1, X2, X3)) | → | U42(proper(X1), proper(X2), proper(X3)) | proper(U43(X1, X2, X3)) | → | U43(proper(X1), proper(X2), proper(X3)) | |
| proper(U44(X1, X2, X3)) | → | U44(proper(X1), proper(X2), proper(X3)) | proper(U45(X1, X2)) | → | U45(proper(X1), proper(X2)) | |
| proper(U46(X)) | → | U46(proper(X)) | proper(U51(X1, X2, X3)) | → | U51(proper(X1), proper(X2), proper(X3)) | |
| proper(U52(X1, X2, X3)) | → | U52(proper(X1), proper(X2), proper(X3)) | proper(U53(X1, X2, X3)) | → | U53(proper(X1), proper(X2), proper(X3)) | |
| proper(U54(X1, X2, X3)) | → | U54(proper(X1), proper(X2), proper(X3)) | proper(U55(X1, X2)) | → | U55(proper(X1), proper(X2)) | |
| proper(U56(X)) | → | U56(proper(X)) | proper(U61(X1, X2)) | → | U61(proper(X1), proper(X2)) | |
| proper(U62(X1, X2)) | → | U62(proper(X1), proper(X2)) | proper(isPLNatKind(X)) | → | isPLNatKind(proper(X)) | |
| proper(U63(X)) | → | U63(proper(X)) | proper(isPLNat(X)) | → | isPLNat(proper(X)) | |
| proper(U71(X1, X2)) | → | U71(proper(X1), proper(X2)) | proper(U72(X1, X2)) | → | U72(proper(X1), proper(X2)) | |
| proper(U73(X)) | → | U73(proper(X)) | proper(U81(X1, X2)) | → | U81(proper(X1), proper(X2)) | |
| proper(U82(X1, X2)) | → | U82(proper(X1), proper(X2)) | proper(U83(X)) | → | U83(proper(X)) | |
| proper(U91(X1, X2)) | → | U91(proper(X1), proper(X2)) | proper(U92(X1, X2)) | → | U92(proper(X1), proper(X2)) | |
| proper(U93(X)) | → | U93(proper(X)) | proper(tail(X)) | → | tail(proper(X)) | |
| proper(take(X1, X2)) | → | take(proper(X1), proper(X2)) | proper(0) | → | ok(0) | |
| proper(sel(X1, X2)) | → | sel(proper(X1), proper(X2)) | U101(ok(X1), ok(X2), ok(X3)) | → | ok(U101(X1, X2, X3)) | |
| U102(ok(X1), ok(X2), ok(X3)) | → | ok(U102(X1, X2, X3)) | isNaturalKind(ok(X)) | → | ok(isNaturalKind(X)) | |
| U103(ok(X1), ok(X2), ok(X3)) | → | ok(U103(X1, X2, X3)) | isLNatKind(ok(X)) | → | ok(isLNatKind(X)) | |
| U104(ok(X1), ok(X2), ok(X3)) | → | ok(U104(X1, X2, X3)) | U105(ok(X1), ok(X2)) | → | ok(U105(X1, X2)) | |
| isNatural(ok(X)) | → | ok(isNatural(X)) | U106(ok(X)) | → | ok(U106(X)) | |
| isLNat(ok(X)) | → | ok(isLNat(X)) | U11(ok(X1), ok(X2), ok(X3)) | → | ok(U11(X1, X2, X3)) | |
| U12(ok(X1), ok(X2), ok(X3)) | → | ok(U12(X1, X2, X3)) | U111(ok(X1), ok(X2)) | → | ok(U111(X1, X2)) | |
| U112(ok(X)) | → | ok(U112(X)) | U13(ok(X1), ok(X2), ok(X3)) | → | ok(U13(X1, X2, X3)) | |
| U121(ok(X1), ok(X2)) | → | ok(U121(X1, X2)) | U122(ok(X)) | → | ok(U122(X)) | |
| U14(ok(X1), ok(X2), ok(X3)) | → | ok(U14(X1, X2, X3)) | U131(ok(X)) | → | ok(U131(X)) | |
| snd(ok(X)) | → | ok(snd(X)) | splitAt(ok(X1), ok(X2)) | → | ok(splitAt(X1, X2)) | |
| U141(ok(X)) | → | ok(U141(X)) | U151(ok(X)) | → | ok(U151(X)) | |
| U161(ok(X)) | → | ok(U161(X)) | U171(ok(X1), ok(X2)) | → | ok(U171(X1, X2)) | |
| U172(ok(X)) | → | ok(U172(X)) | U181(ok(X1), ok(X2)) | → | ok(U181(X1, X2)) | |
| U182(ok(X1), ok(X2)) | → | ok(U182(X1, X2)) | U183(ok(X)) | → | ok(U183(X)) | |
| U191(ok(X1), ok(X2)) | → | ok(U191(X1, X2)) | U192(ok(X1), ok(X2)) | → | ok(U192(X1, X2)) | |
| U193(ok(X)) | → | ok(U193(X)) | U201(ok(X1), ok(X2), ok(X3)) | → | ok(U201(X1, X2, X3)) | |
| U202(ok(X1), ok(X2), ok(X3)) | → | ok(U202(X1, X2, X3)) | U203(ok(X1), ok(X2), ok(X3)) | → | ok(U203(X1, X2, X3)) | |
| U204(ok(X1), ok(X2), ok(X3)) | → | ok(U204(X1, X2, X3)) | U205(ok(X1), ok(X2)) | → | ok(U205(X1, X2)) | |
| U206(ok(X)) | → | ok(U206(X)) | U21(ok(X1), ok(X2), ok(X3)) | → | ok(U21(X1, X2, X3)) | |
| U22(ok(X1), ok(X2), ok(X3)) | → | ok(U22(X1, X2, X3)) | U211(ok(X)) | → | ok(U211(X)) | |
| U23(ok(X1), ok(X2), ok(X3)) | → | ok(U23(X1, X2, X3)) | U221(ok(X)) | → | ok(U221(X)) | |
| U24(ok(X1), ok(X2)) | → | ok(U24(X1, X2)) | U231(ok(X1), ok(X2)) | → | ok(U231(X1, X2)) | |
| U232(ok(X)) | → | ok(U232(X)) | U241(ok(X1), ok(X2), ok(X3)) | → | ok(U241(X1, X2, X3)) | |
| U242(ok(X1), ok(X2), ok(X3)) | → | ok(U242(X1, X2, X3)) | U243(ok(X1), ok(X2), ok(X3)) | → | ok(U243(X1, X2, X3)) | |
| U244(ok(X1), ok(X2), ok(X3)) | → | ok(U244(X1, X2, X3)) | U245(ok(X1), ok(X2)) | → | ok(U245(X1, X2)) | |
| U246(ok(X)) | → | ok(U246(X)) | U251(ok(X1), ok(X2), ok(X3)) | → | ok(U251(X1, X2, X3)) | |
| U252(ok(X1), ok(X2), ok(X3)) | → | ok(U252(X1, X2, X3)) | U253(ok(X1), ok(X2), ok(X3)) | → | ok(U253(X1, X2, X3)) | |
| U254(ok(X1), ok(X2), ok(X3)) | → | ok(U254(X1, X2, X3)) | U255(ok(X1), ok(X2)) | → | ok(U255(X1, X2)) | |
| U256(ok(X)) | → | ok(U256(X)) | U261(ok(X1), ok(X2)) | → | ok(U261(X1, X2)) | |
| U262(ok(X)) | → | ok(U262(X)) | U271(ok(X1), ok(X2)) | → | ok(U271(X1, X2)) | |
| U272(ok(X)) | → | ok(U272(X)) | U281(ok(X1), ok(X2)) | → | ok(U281(X1, X2)) | |
| U282(ok(X1), ok(X2)) | → | ok(U282(X1, X2)) | cons(ok(X1), ok(X2)) | → | ok(cons(X1, X2)) | |
| natsFrom(ok(X)) | → | ok(natsFrom(X)) | s(ok(X)) | → | ok(s(X)) | |
| U291(ok(X1), ok(X2), ok(X3)) | → | ok(U291(X1, X2, X3)) | U292(ok(X1), ok(X2), ok(X3)) | → | ok(U292(X1, X2, X3)) | |
| U293(ok(X1), ok(X2), ok(X3)) | → | ok(U293(X1, X2, X3)) | U294(ok(X1), ok(X2), ok(X3)) | → | ok(U294(X1, X2, X3)) | |
| head(ok(X)) | → | ok(head(X)) | afterNth(ok(X1), ok(X2)) | → | ok(afterNth(X1, X2)) | |
| U301(ok(X1), ok(X2), ok(X3)) | → | ok(U301(X1, X2, X3)) | U302(ok(X1), ok(X2)) | → | ok(U302(X1, X2)) | |
| U303(ok(X1), ok(X2)) | → | ok(U303(X1, X2)) | U304(ok(X1), ok(X2)) | → | ok(U304(X1, X2)) | |
| U31(ok(X1), ok(X2), ok(X3)) | → | ok(U31(X1, X2, X3)) | U32(ok(X1), ok(X2), ok(X3)) | → | ok(U32(X1, X2, X3)) | |
| U311(ok(X1), ok(X2)) | → | ok(U311(X1, X2)) | U312(ok(X1), ok(X2)) | → | ok(U312(X1, X2)) | |
| pair(ok(X1), ok(X2)) | → | ok(pair(X1, X2)) | U33(ok(X1), ok(X2), ok(X3)) | → | ok(U33(X1, X2, X3)) | |
| U321(ok(X1), ok(X2), ok(X3), ok(X4)) | → | ok(U321(X1, X2, X3, X4)) | U322(ok(X1), ok(X2), ok(X3), ok(X4)) | → | ok(U322(X1, X2, X3, X4)) | |
| U323(ok(X1), ok(X2), ok(X3), ok(X4)) | → | ok(U323(X1, X2, X3, X4)) | U324(ok(X1), ok(X2), ok(X3), ok(X4)) | → | ok(U324(X1, X2, X3, X4)) | |
| U325(ok(X1), ok(X2), ok(X3), ok(X4)) | → | ok(U325(X1, X2, X3, X4)) | U326(ok(X1), ok(X2), ok(X3), ok(X4)) | → | ok(U326(X1, X2, X3, X4)) | |
| U327(ok(X1), ok(X2)) | → | ok(U327(X1, X2)) | U34(ok(X1), ok(X2)) | → | ok(U34(X1, X2)) | |
| U331(ok(X1), ok(X2), ok(X3)) | → | ok(U331(X1, X2, X3)) | U332(ok(X1), ok(X2)) | → | ok(U332(X1, X2)) | |
| U333(ok(X1), ok(X2)) | → | ok(U333(X1, X2)) | U334(ok(X1), ok(X2)) | → | ok(U334(X1, X2)) | |
| U341(ok(X1), ok(X2), ok(X3)) | → | ok(U341(X1, X2, X3)) | U342(ok(X1), ok(X2), ok(X3)) | → | ok(U342(X1, X2, X3)) | |
| U343(ok(X1), ok(X2), ok(X3)) | → | ok(U343(X1, X2, X3)) | U344(ok(X1), ok(X2), ok(X3)) | → | ok(U344(X1, X2, X3)) | |
| fst(ok(X)) | → | ok(fst(X)) | U41(ok(X1), ok(X2), ok(X3)) | → | ok(U41(X1, X2, X3)) | |
| U42(ok(X1), ok(X2), ok(X3)) | → | ok(U42(X1, X2, X3)) | U43(ok(X1), ok(X2), ok(X3)) | → | ok(U43(X1, X2, X3)) | |
| U44(ok(X1), ok(X2), ok(X3)) | → | ok(U44(X1, X2, X3)) | U45(ok(X1), ok(X2)) | → | ok(U45(X1, X2)) | |
| U46(ok(X)) | → | ok(U46(X)) | U51(ok(X1), ok(X2), ok(X3)) | → | ok(U51(X1, X2, X3)) | |
| U52(ok(X1), ok(X2), ok(X3)) | → | ok(U52(X1, X2, X3)) | U53(ok(X1), ok(X2), ok(X3)) | → | ok(U53(X1, X2, X3)) | |
| U54(ok(X1), ok(X2), ok(X3)) | → | ok(U54(X1, X2, X3)) | U55(ok(X1), ok(X2)) | → | ok(U55(X1, X2)) | |
| U56(ok(X)) | → | ok(U56(X)) | U61(ok(X1), ok(X2)) | → | ok(U61(X1, X2)) | |
| U62(ok(X1), ok(X2)) | → | ok(U62(X1, X2)) | isPLNatKind(ok(X)) | → | ok(isPLNatKind(X)) | |
| U63(ok(X)) | → | ok(U63(X)) | isPLNat(ok(X)) | → | ok(isPLNat(X)) | |
| U71(ok(X1), ok(X2)) | → | ok(U71(X1, X2)) | U72(ok(X1), ok(X2)) | → | ok(U72(X1, X2)) | |
| U73(ok(X)) | → | ok(U73(X)) | U81(ok(X1), ok(X2)) | → | ok(U81(X1, X2)) | |
| U82(ok(X1), ok(X2)) | → | ok(U82(X1, X2)) | U83(ok(X)) | → | ok(U83(X)) | |
| U91(ok(X1), ok(X2)) | → | ok(U91(X1, X2)) | U92(ok(X1), ok(X2)) | → | ok(U92(X1, X2)) | |
| U93(ok(X)) | → | ok(U93(X)) | tail(ok(X)) | → | ok(tail(X)) | |
| take(ok(X1), ok(X2)) | → | ok(take(X1, X2)) | sel(ok(X1), ok(X2)) | → | ok(sel(X1, X2)) | |
| top(mark(X)) | → | top(proper(X)) | top(ok(X)) | → | top(active(X)) |
Termination of terms over the following signature is verified: U311, U312, U104, U105, U106, U112, U63, U111, U62, U61, U303, U302, U304, U251, ok, U253, U252, U255, U254, U256, U322, U323, isPLNat, isLNatKind, U321, tail, U193, U192, U71, U191, U73, U72, 0, U122, U121, U262, U261, pair, U331, U332, U333, U334, U46, U325, U45, U324, U44, U327, U43, U131, U326, U42, U41, U232, U231, cons, U341, U344, U342, splitAt, U343, U55, U54, U141, U56, U51, s, tt, U53, U52, U246, U245, U244, U243, afterNth, U242, U241, natsFrom, U161, U204, U203, U206, U205, fst, U211, proper, U23, head, U24, U21, U22, U294, U292, U293, U151, mark, U291, isPLNatKind, U221, isLNat, active, U31, U32, U33, U34, U181, U182, U183, isNatural, U281, U282, U93, U92, U91, top, snd, U171, isNaturalKind, U172, U272, U83, U271, U201, U202, U14, take, U82, U301, U81, U11, U12, U13, U102, sel, U103, U101, nil