The TRS could not be proven terminating. The proof attempt took 60002 ms.
Problem 1 remains open; application of the following processors failed [DependencyGraph (timeout)].
| proper#(U92(X)) | → | U92#(proper(X)) | active#(U71(X1, X2, X3)) | → | U71#(active(X1), X2, X3) | |
| U26#(mark(X)) | → | U26#(X) | proper#(U25(X1, X2)) | → | proper#(X2) | |
| active#(U45(tt, V2)) | → | isNeList#(V2) | active#(U72(tt, P)) | → | U73#(isPal(P), P) | |
| active#(__(__(X, Y), Z)) | → | __#(X, __(Y, Z)) | proper#(U91(X1, X2)) | → | proper#(X2) | |
| U22#(mark(X1), X2, X3) | → | U22#(X1, X2, X3) | active#(U53(tt, V1, V2)) | → | U54#(isPalListKind(V2), V1, V2) | |
| U11#(mark(X1), X2) | → | U11#(X1, X2) | active#(U31(tt, V)) | → | U32#(isPalListKind(V), V) | |
| proper#(U22(X1, X2, X3)) | → | U22#(proper(X1), proper(X2), proper(X3)) | proper#(U56(X)) | → | U56#(proper(X)) | |
| proper#(U71(X1, X2, X3)) | → | proper#(X1) | proper#(U71(X1, X2, X3)) | → | U71#(proper(X1), proper(X2), proper(X3)) | |
| U72#(mark(X1), X2) | → | U72#(X1, X2) | active#(U62(tt, V)) | → | U63#(isQid(V)) | |
| U81#(ok(X1), ok(X2)) | → | U81#(X1, X2) | top#(mark(X)) | → | proper#(X) | |
| proper#(U72(X1, X2)) | → | proper#(X2) | U54#(mark(X1), X2, X3) | → | U54#(X1, X2, X3) | |
| __#(mark(X1), X2) | → | __#(X1, X2) | U43#(mark(X1), X2, X3) | → | U43#(X1, X2, X3) | |
| active#(U71(X1, X2, X3)) | → | active#(X1) | active#(U61(X1, X2)) | → | active#(X1) | |
| U53#(ok(X1), ok(X2), ok(X3)) | → | U53#(X1, X2, X3) | active#(U42(tt, V1, V2)) | → | isPalListKind#(V2) | |
| active#(U73(X1, X2)) | → | U73#(active(X1), X2) | proper#(U71(X1, X2, X3)) | → | proper#(X3) | |
| proper#(U43(X1, X2, X3)) | → | proper#(X3) | proper#(U52(X1, X2, X3)) | → | proper#(X2) | |
| proper#(isNePal(X)) | → | isNePal#(proper(X)) | proper#(U42(X1, X2, X3)) | → | U42#(proper(X1), proper(X2), proper(X3)) | |
| isQid#(ok(X)) | → | isQid#(X) | active#(U72(tt, P)) | → | isPal#(P) | |
| active#(U72(X1, X2)) | → | active#(X1) | U83#(ok(X)) | → | U83#(X) | |
| active#(U54(X1, X2, X3)) | → | U54#(active(X1), X2, X3) | U43#(ok(X1), ok(X2), ok(X3)) | → | U43#(X1, X2, X3) | |
| active#(U12(tt, V)) | → | U13#(isNeList(V)) | active#(U53(tt, V1, V2)) | → | isPalListKind#(V2) | |
| active#(U53(X1, X2, X3)) | → | active#(X1) | proper#(U43(X1, X2, X3)) | → | proper#(X1) | |
| active#(U33(X)) | → | active#(X) | U45#(ok(X1), ok(X2)) | → | U45#(X1, X2) | |
| proper#(U44(X1, X2, X3)) | → | U44#(proper(X1), proper(X2), proper(X3)) | proper#(U21(X1, X2, X3)) | → | proper#(X3) | |
| active#(U41(X1, X2, X3)) | → | U41#(active(X1), X2, X3) | proper#(U62(X1, X2)) | → | proper#(X1) | |
| active#(isPalListKind(__(V1, V2))) | → | isPalListKind#(V1) | active#(U51(tt, V1, V2)) | → | U52#(isPalListKind(V1), V1, V2) | |
| proper#(U45(X1, X2)) | → | U45#(proper(X1), proper(X2)) | U26#(ok(X)) | → | U26#(X) | |
| active#(U24(tt, V1, V2)) | → | isList#(V1) | proper#(U25(X1, X2)) | → | proper#(X1) | |
| active#(U11(tt, V)) | → | U12#(isPalListKind(V), V) | active#(U44(X1, X2, X3)) | → | active#(X1) | |
| proper#(U41(X1, X2, X3)) | → | proper#(X1) | active#(U31(X1, X2)) | → | active#(X1) | |
| proper#(isList(X)) | → | isList#(proper(X)) | active#(U13(X)) | → | active#(X) | |
| proper#(U81(X1, X2)) | → | U81#(proper(X1), proper(X2)) | proper#(U52(X1, X2, X3)) | → | proper#(X1) | |
| U41#(ok(X1), ok(X2), ok(X3)) | → | U41#(X1, X2, X3) | active#(U22(tt, V1, V2)) | → | isPalListKind#(V2) | |
| proper#(U63(X)) | → | U63#(proper(X)) | active#(U43(tt, V1, V2)) | → | isPalListKind#(V2) | |
| active#(U51(tt, V1, V2)) | → | isPalListKind#(V1) | __#(ok(X1), ok(X2)) | → | __#(X1, X2) | |
| proper#(U22(X1, X2, X3)) | → | proper#(X2) | U91#(ok(X1), ok(X2)) | → | U91#(X1, X2) | |
| proper#(U24(X1, X2, X3)) | → | proper#(X2) | active#(U55(tt, V2)) | → | U56#(isList(V2)) | |
| __#(X1, mark(X2)) | → | __#(X1, X2) | U33#(mark(X)) | → | U33#(X) | |
| proper#(U63(X)) | → | proper#(X) | active#(U11(X1, X2)) | → | U11#(active(X1), X2) | |
| proper#(U21(X1, X2, X3)) | → | U21#(proper(X1), proper(X2), proper(X3)) | active#(U81(tt, V)) | → | U82#(isPalListKind(V), V) | |
| active#(U12(tt, V)) | → | isNeList#(V) | active#(U51(X1, X2, X3)) | → | U51#(active(X1), X2, X3) | |
| proper#(U52(X1, X2, X3)) | → | proper#(X3) | proper#(U31(X1, X2)) | → | U31#(proper(X1), proper(X2)) | |
| proper#(U81(X1, X2)) | → | proper#(X1) | proper#(U21(X1, X2, X3)) | → | proper#(X2) | |
| U74#(ok(X)) | → | U74#(X) | active#(U73(tt, P)) | → | isPalListKind#(P) | |
| U31#(ok(X1), ok(X2)) | → | U31#(X1, X2) | active#(U54(tt, V1, V2)) | → | isNeList#(V1) | |
| active#(U71(tt, I, P)) | → | U72#(isPalListKind(I), P) | isPal#(ok(X)) | → | isPal#(X) | |
| U12#(ok(X1), ok(X2)) | → | U12#(X1, X2) | proper#(isList(X)) | → | proper#(X) | |
| proper#(U92(X)) | → | proper#(X) | proper#(U12(X1, X2)) | → | proper#(X2) | |
| active#(U42(X1, X2, X3)) | → | active#(X1) | proper#(U11(X1, X2)) | → | U11#(proper(X1), proper(X2)) | |
| proper#(U72(X1, X2)) | → | U72#(proper(X1), proper(X2)) | proper#(U52(X1, X2, X3)) | → | U52#(proper(X1), proper(X2), proper(X3)) | |
| active#(U62(X1, X2)) | → | active#(X1) | active#(U91(tt, V2)) | → | U92#(isPalListKind(V2)) | |
| active#(U61(tt, V)) | → | isPalListKind#(V) | U91#(mark(X1), X2) | → | U91#(X1, X2) | |
| proper#(U61(X1, X2)) | → | proper#(X2) | U61#(mark(X1), X2) | → | U61#(X1, X2) | |
| U12#(mark(X1), X2) | → | U12#(X1, X2) | proper#(U53(X1, X2, X3)) | → | proper#(X1) | |
| proper#(U41(X1, X2, X3)) | → | U41#(proper(X1), proper(X2), proper(X3)) | proper#(U32(X1, X2)) | → | proper#(X1) | |
| proper#(U82(X1, X2)) | → | proper#(X1) | active#(U55(X1, X2)) | → | U55#(active(X1), X2) | |
| U61#(ok(X1), ok(X2)) | → | U61#(X1, X2) | active#(U51(X1, X2, X3)) | → | active#(X1) | |
| active#(U23(tt, V1, V2)) | → | U24#(isPalListKind(V2), V1, V2) | U73#(mark(X1), X2) | → | U73#(X1, X2) | |
| active#(U22(X1, X2, X3)) | → | U22#(active(X1), X2, X3) | proper#(U73(X1, X2)) | → | proper#(X1) | |
| U52#(ok(X1), ok(X2), ok(X3)) | → | U52#(X1, X2, X3) | active#(U21(X1, X2, X3)) | → | active#(X1) | |
| U32#(ok(X1), ok(X2)) | → | U32#(X1, X2) | active#(U13(X)) | → | U13#(active(X)) | |
| proper#(U45(X1, X2)) | → | proper#(X2) | proper#(U24(X1, X2, X3)) | → | U24#(proper(X1), proper(X2), proper(X3)) | |
| active#(U82(tt, V)) | → | isNePal#(V) | proper#(isQid(X)) | → | proper#(X) | |
| active#(U61(tt, V)) | → | U62#(isPalListKind(V), V) | active#(U33(X)) | → | U33#(active(X)) | |
| proper#(U32(X1, X2)) | → | U32#(proper(X1), proper(X2)) | U33#(ok(X)) | → | U33#(X) | |
| active#(U24(tt, V1, V2)) | → | U25#(isList(V1), V2) | proper#(isPal(X)) | → | isPal#(proper(X)) | |
| active#(U82(tt, V)) | → | U83#(isNePal(V)) | active#(U42(tt, V1, V2)) | → | U43#(isPalListKind(V2), V1, V2) | |
| proper#(U55(X1, X2)) | → | U55#(proper(X1), proper(X2)) | U44#(ok(X1), ok(X2), ok(X3)) | → | U44#(X1, X2, X3) | |
| proper#(U31(X1, X2)) | → | proper#(X2) | active#(U55(X1, X2)) | → | active#(X1) | |
| active#(isNeList(__(V1, V2))) | → | isPalListKind#(V1) | proper#(U43(X1, X2, X3)) | → | proper#(X2) | |
| active#(U25(X1, X2)) | → | active#(X1) | active#(__(X1, X2)) | → | __#(X1, active(X2)) | |
| U53#(mark(X1), X2, X3) | → | U53#(X1, X2, X3) | active#(isNeList(__(V1, V2))) | → | U51#(isPalListKind(V1), V1, V2) | |
| active#(U44(X1, X2, X3)) | → | U44#(active(X1), X2, X3) | proper#(U42(X1, X2, X3)) | → | proper#(X2) | |
| active#(U26(X)) | → | U26#(active(X)) | proper#(U91(X1, X2)) | → | U91#(proper(X1), proper(X2)) | |
| active#(U71(tt, I, P)) | → | isPalListKind#(I) | proper#(U12(X1, X2)) | → | proper#(X1) | |
| active#(__(X1, X2)) | → | active#(X1) | proper#(U83(X)) | → | U83#(proper(X)) | |
| active#(isNeList(__(V1, V2))) | → | U41#(isPalListKind(V1), V1, V2) | proper#(isPalListKind(X)) | → | isPalListKind#(proper(X)) | |
| active#(U81(X1, X2)) | → | U81#(active(X1), X2) | proper#(U74(X)) | → | U74#(proper(X)) | |
| U63#(ok(X)) | → | U63#(X) | proper#(U33(X)) | → | U33#(proper(X)) | |
| U72#(ok(X1), ok(X2)) | → | U72#(X1, X2) | active#(U91(X1, X2)) | → | U91#(active(X1), X2) | |
| proper#(U53(X1, X2, X3)) | → | proper#(X2) | proper#(isNeList(X)) | → | isNeList#(proper(X)) | |
| active#(U54(X1, X2, X3)) | → | active#(X1) | active#(U41(tt, V1, V2)) | → | U42#(isPalListKind(V1), V1, V2) | |
| active#(U54(tt, V1, V2)) | → | U55#(isNeList(V1), V2) | active#(U45(X1, X2)) | → | U45#(active(X1), X2) | |
| active#(U24(X1, X2, X3)) | → | U24#(active(X1), X2, X3) | active#(U82(X1, X2)) | → | U82#(active(X1), X2) | |
| proper#(U46(X)) | → | proper#(X) | active#(U82(X1, X2)) | → | active#(X1) | |
| U63#(mark(X)) | → | U63#(X) | active#(U44(tt, V1, V2)) | → | U45#(isList(V1), V2) | |
| U42#(ok(X1), ok(X2), ok(X3)) | → | U42#(X1, X2, X3) | proper#(U44(X1, X2, X3)) | → | proper#(X2) | |
| proper#(U33(X)) | → | proper#(X) | U55#(mark(X1), X2) | → | U55#(X1, X2) | |
| U21#(ok(X1), ok(X2), ok(X3)) | → | U21#(X1, X2, X3) | proper#(U11(X1, X2)) | → | proper#(X1) | |
| proper#(U62(X1, X2)) | → | U62#(proper(X1), proper(X2)) | U24#(ok(X1), ok(X2), ok(X3)) | → | U24#(X1, X2, X3) | |
| active#(U42(X1, X2, X3)) | → | U42#(active(X1), X2, X3) | proper#(U41(X1, X2, X3)) | → | proper#(X2) | |
| proper#(U53(X1, X2, X3)) | → | U53#(proper(X1), proper(X2), proper(X3)) | proper#(U32(X1, X2)) | → | proper#(X2) | |
| active#(U31(tt, V)) | → | isPalListKind#(V) | proper#(U11(X1, X2)) | → | proper#(X2) | |
| active#(isList(V)) | → | isPalListKind#(V) | proper#(U81(X1, X2)) | → | proper#(X2) | |
| active#(U21(tt, V1, V2)) | → | U22#(isPalListKind(V1), V1, V2) | U55#(ok(X1), ok(X2)) | → | U55#(X1, X2) | |
| active#(__(X1, X2)) | → | __#(active(X1), X2) | U44#(mark(X1), X2, X3) | → | U44#(X1, X2, X3) | |
| proper#(U54(X1, X2, X3)) | → | proper#(X2) | active#(U46(X)) | → | active#(X) | |
| U25#(mark(X1), X2) | → | U25#(X1, X2) | U71#(mark(X1), X2, X3) | → | U71#(X1, X2, X3) | |
| U54#(ok(X1), ok(X2), ok(X3)) | → | U54#(X1, X2, X3) | U21#(mark(X1), X2, X3) | → | U21#(X1, X2, X3) | |
| proper#(U55(X1, X2)) | → | proper#(X1) | active#(U21(X1, X2, X3)) | → | U21#(active(X1), X2, X3) | |
| proper#(U46(X)) | → | U46#(proper(X)) | active#(isPal(V)) | → | U81#(isPalListKind(V), V) | |
| U56#(ok(X)) | → | U56#(X) | active#(U41(X1, X2, X3)) | → | active#(X1) | |
| active#(U12(X1, X2)) | → | U12#(active(X1), X2) | active#(U92(X)) | → | active#(X) | |
| proper#(U54(X1, X2, X3)) | → | proper#(X3) | proper#(U51(X1, X2, X3)) | → | proper#(X1) | |
| proper#(U13(X)) | → | U13#(proper(X)) | active#(U23(X1, X2, X3)) | → | active#(X1) | |
| active#(U73(X1, X2)) | → | active#(X1) | proper#(U42(X1, X2, X3)) | → | proper#(X3) | |
| proper#(U25(X1, X2)) | → | U25#(proper(X1), proper(X2)) | proper#(U53(X1, X2, X3)) | → | proper#(X3) | |
| active#(U53(X1, X2, X3)) | → | U53#(active(X1), X2, X3) | proper#(U54(X1, X2, X3)) | → | proper#(X1) | |
| isPalListKind#(ok(X)) | → | isPalListKind#(X) | proper#(U55(X1, X2)) | → | proper#(X2) | |
| active#(U62(X1, X2)) | → | U62#(active(X1), X2) | proper#(U51(X1, X2, X3)) | → | proper#(X2) | |
| U51#(ok(X1), ok(X2), ok(X3)) | → | U51#(X1, X2, X3) | proper#(U73(X1, X2)) | → | U73#(proper(X1), proper(X2)) | |
| proper#(U62(X1, X2)) | → | proper#(X2) | U24#(mark(X1), X2, X3) | → | U24#(X1, X2, X3) | |
| proper#(U44(X1, X2, X3)) | → | proper#(X1) | active#(U92(X)) | → | U92#(active(X)) | |
| active#(isList(V)) | → | U11#(isPalListKind(V), V) | active#(U43(X1, X2, X3)) | → | active#(X1) | |
| U82#(mark(X1), X2) | → | U82#(X1, X2) | top#(ok(X)) | → | active#(X) | |
| active#(U41(tt, V1, V2)) | → | isPalListKind#(V1) | U62#(ok(X1), ok(X2)) | → | U62#(X1, X2) | |
| active#(U43(tt, V1, V2)) | → | U44#(isPalListKind(V2), V1, V2) | active#(U91(X1, X2)) | → | active#(X1) | |
| active#(U63(X)) | → | active#(X) | proper#(U91(X1, X2)) | → | proper#(X1) | |
| proper#(U23(X1, X2, X3)) | → | proper#(X3) | active#(U52(X1, X2, X3)) | → | active#(X1) | |
| U45#(mark(X1), X2) | → | U45#(X1, X2) | isList#(ok(X)) | → | isList#(X) | |
| proper#(U21(X1, X2, X3)) | → | proper#(X1) | active#(__(X1, X2)) | → | active#(X2) | |
| active#(U11(tt, V)) | → | isPalListKind#(V) | proper#(U22(X1, X2, X3)) | → | proper#(X1) | |
| U13#(mark(X)) | → | U13#(X) | active#(U45(tt, V2)) | → | U46#(isNeList(V2)) | |
| isNeList#(ok(X)) | → | isNeList#(X) | active#(U26(X)) | → | active#(X) | |
| active#(isPalListKind(__(V1, V2))) | → | U91#(isPalListKind(V1), V2) | active#(U73(tt, P)) | → | U74#(isPalListKind(P)) | |
| active#(isNePal(__(I, __(P, I)))) | → | U71#(isQid(I), I, P) | U51#(mark(X1), X2, X3) | → | U51#(X1, X2, X3) | |
| proper#(U45(X1, X2)) | → | proper#(X1) | active#(U12(X1, X2)) | → | active#(X1) | |
| active#(U25(tt, V2)) | → | isList#(V2) | active#(__(__(X, Y), Z)) | → | __#(Y, Z) | |
| active#(U74(X)) | → | U74#(active(X)) | proper#(U72(X1, X2)) | → | proper#(X1) | |
| proper#(U42(X1, X2, X3)) | → | proper#(X1) | proper#(U23(X1, X2, X3)) | → | proper#(X1) | |
| active#(U91(tt, V2)) | → | isPalListKind#(V2) | U56#(mark(X)) | → | U56#(X) | |
| active#(U32(X1, X2)) | → | U32#(active(X1), X2) | active#(U32(X1, X2)) | → | active#(X1) | |
| active#(U74(X)) | → | active#(X) | active#(U44(tt, V1, V2)) | → | isList#(V1) | |
| active#(U72(X1, X2)) | → | U72#(active(X1), X2) | active#(isNeList(V)) | → | U31#(isPalListKind(V), V) | |
| active#(U32(tt, V)) | → | isQid#(V) | active#(isNePal(V)) | → | U61#(isPalListKind(V), V) | |
| active#(isList(__(V1, V2))) | → | U21#(isPalListKind(V1), V1, V2) | active#(U55(tt, V2)) | → | isList#(V2) | |
| active#(U46(X)) | → | U46#(active(X)) | proper#(U56(X)) | → | proper#(X) | |
| proper#(U82(X1, X2)) | → | U82#(proper(X1), proper(X2)) | active#(isNePal(V)) | → | isPalListKind#(V) | |
| top#(ok(X)) | → | top#(active(X)) | active#(U83(X)) | → | U83#(active(X)) | |
| U92#(mark(X)) | → | U92#(X) | proper#(U74(X)) | → | proper#(X) | |
| proper#(U31(X1, X2)) | → | proper#(X1) | proper#(U26(X)) | → | proper#(X) | |
| active#(U23(tt, V1, V2)) | → | isPalListKind#(V2) | U11#(ok(X1), ok(X2)) | → | U11#(X1, X2) | |
| active#(U24(X1, X2, X3)) | → | active#(X1) | active#(U21(tt, V1, V2)) | → | isPalListKind#(V1) | |
| active#(U32(tt, V)) | → | U33#(isQid(V)) | active#(U61(X1, X2)) | → | U61#(active(X1), X2) | |
| U25#(ok(X1), ok(X2)) | → | U25#(X1, X2) | proper#(U26(X)) | → | U26#(proper(X)) | |
| active#(U81(X1, X2)) | → | active#(X1) | proper#(isPal(X)) | → | proper#(X) | |
| active#(U52(X1, X2, X3)) | → | U52#(active(X1), X2, X3) | active#(U81(tt, V)) | → | isPalListKind#(V) | |
| U62#(mark(X1), X2) | → | U62#(X1, X2) | active#(U11(X1, X2)) | → | active#(X1) | |
| proper#(U73(X1, X2)) | → | proper#(X2) | active#(U56(X)) | → | U56#(active(X)) | |
| U74#(mark(X)) | → | U74#(X) | proper#(__(X1, X2)) | → | proper#(X1) | |
| U71#(ok(X1), ok(X2), ok(X3)) | → | U71#(X1, X2, X3) | top#(mark(X)) | → | top#(proper(X)) | |
| U42#(mark(X1), X2, X3) | → | U42#(X1, X2, X3) | U13#(ok(X)) | → | U13#(X) | |
| proper#(isNePal(X)) | → | proper#(X) | proper#(U22(X1, X2, X3)) | → | proper#(X3) | |
| active#(U43(X1, X2, X3)) | → | U43#(active(X1), X2, X3) | proper#(U24(X1, X2, X3)) | → | proper#(X1) | |
| proper#(isNeList(X)) | → | proper#(X) | active#(U45(X1, X2)) | → | active#(X1) | |
| proper#(U23(X1, X2, X3)) | → | proper#(X2) | isNePal#(ok(X)) | → | isNePal#(X) | |
| active#(U63(X)) | → | U63#(active(X)) | proper#(isPalListKind(X)) | → | proper#(X) | |
| U73#(ok(X1), ok(X2)) | → | U73#(X1, X2) | proper#(U24(X1, X2, X3)) | → | proper#(X3) | |
| active#(isNeList(V)) | → | isPalListKind#(V) | U22#(ok(X1), ok(X2), ok(X3)) | → | U22#(X1, X2, X3) | |
| proper#(U51(X1, X2, X3)) | → | U51#(proper(X1), proper(X2), proper(X3)) | proper#(U54(X1, X2, X3)) | → | U54#(proper(X1), proper(X2), proper(X3)) | |
| proper#(U61(X1, X2)) | → | U61#(proper(X1), proper(X2)) | proper#(U12(X1, X2)) | → | U12#(proper(X1), proper(X2)) | |
| U92#(ok(X)) | → | U92#(X) | U82#(ok(X1), ok(X2)) | → | U82#(X1, X2) | |
| proper#(U41(X1, X2, X3)) | → | proper#(X3) | active#(isPal(V)) | → | isPalListKind#(V) | |
| active#(U62(tt, V)) | → | isQid#(V) | U23#(mark(X1), X2, X3) | → | U23#(X1, X2, X3) | |
| U23#(ok(X1), ok(X2), ok(X3)) | → | U23#(X1, X2, X3) | proper#(U13(X)) | → | proper#(X) | |
| active#(U22(tt, V1, V2)) | → | U23#(isPalListKind(V2), V1, V2) | proper#(__(X1, X2)) | → | __#(proper(X1), proper(X2)) | |
| active#(U31(X1, X2)) | → | U31#(active(X1), X2) | active#(isList(__(V1, V2))) | → | isPalListKind#(V1) | |
| U41#(mark(X1), X2, X3) | → | U41#(X1, X2, X3) | proper#(U51(X1, X2, X3)) | → | proper#(X3) | |
| active#(U56(X)) | → | active#(X) | active#(U83(X)) | → | active#(X) | |
| active#(U52(tt, V1, V2)) | → | isPalListKind#(V2) | proper#(U82(X1, X2)) | → | proper#(X2) | |
| proper#(isQid(X)) | → | isQid#(proper(X)) | U81#(mark(X1), X2) | → | U81#(X1, X2) | |
| active#(U23(X1, X2, X3)) | → | U23#(active(X1), X2, X3) | active#(U25(tt, V2)) | → | U26#(isList(V2)) | |
| proper#(U43(X1, X2, X3)) | → | U43#(proper(X1), proper(X2), proper(X3)) | proper#(U83(X)) | → | proper#(X) | |
| active#(isNePal(__(I, __(P, I)))) | → | isQid#(I) | proper#(__(X1, X2)) | → | proper#(X2) | |
| U46#(mark(X)) | → | U46#(X) | proper#(U23(X1, X2, X3)) | → | U23#(proper(X1), proper(X2), proper(X3)) | |
| U31#(mark(X1), X2) | → | U31#(X1, X2) | proper#(U61(X1, X2)) | → | proper#(X1) | |
| proper#(U44(X1, X2, X3)) | → | proper#(X3) | active#(U22(X1, X2, X3)) | → | active#(X1) | |
| U32#(mark(X1), X2) | → | U32#(X1, X2) | proper#(U71(X1, X2, X3)) | → | proper#(X2) | |
| active#(U25(X1, X2)) | → | U25#(active(X1), X2) | U46#(ok(X)) | → | U46#(X) | |
| U52#(mark(X1), X2, X3) | → | U52#(X1, X2, X3) | active#(U52(tt, V1, V2)) | → | U53#(isPalListKind(V2), V1, V2) | |
| U83#(mark(X)) | → | U83#(X) |
| active(__(__(X, Y), Z)) | → | mark(__(X, __(Y, Z))) | active(__(X, nil)) | → | mark(X) | |
| active(__(nil, X)) | → | mark(X) | active(U11(tt, V)) | → | mark(U12(isPalListKind(V), V)) | |
| active(U12(tt, V)) | → | mark(U13(isNeList(V))) | active(U13(tt)) | → | mark(tt) | |
| active(U21(tt, V1, V2)) | → | mark(U22(isPalListKind(V1), V1, V2)) | active(U22(tt, V1, V2)) | → | mark(U23(isPalListKind(V2), V1, V2)) | |
| active(U23(tt, V1, V2)) | → | mark(U24(isPalListKind(V2), V1, V2)) | active(U24(tt, V1, V2)) | → | mark(U25(isList(V1), V2)) | |
| active(U25(tt, V2)) | → | mark(U26(isList(V2))) | active(U26(tt)) | → | mark(tt) | |
| active(U31(tt, V)) | → | mark(U32(isPalListKind(V), V)) | active(U32(tt, V)) | → | mark(U33(isQid(V))) | |
| active(U33(tt)) | → | mark(tt) | active(U41(tt, V1, V2)) | → | mark(U42(isPalListKind(V1), V1, V2)) | |
| active(U42(tt, V1, V2)) | → | mark(U43(isPalListKind(V2), V1, V2)) | active(U43(tt, V1, V2)) | → | mark(U44(isPalListKind(V2), V1, V2)) | |
| active(U44(tt, V1, V2)) | → | mark(U45(isList(V1), V2)) | active(U45(tt, V2)) | → | mark(U46(isNeList(V2))) | |
| active(U46(tt)) | → | mark(tt) | active(U51(tt, V1, V2)) | → | mark(U52(isPalListKind(V1), V1, V2)) | |
| active(U52(tt, V1, V2)) | → | mark(U53(isPalListKind(V2), V1, V2)) | active(U53(tt, V1, V2)) | → | mark(U54(isPalListKind(V2), V1, V2)) | |
| active(U54(tt, V1, V2)) | → | mark(U55(isNeList(V1), V2)) | active(U55(tt, V2)) | → | mark(U56(isList(V2))) | |
| active(U56(tt)) | → | mark(tt) | active(U61(tt, V)) | → | mark(U62(isPalListKind(V), V)) | |
| active(U62(tt, V)) | → | mark(U63(isQid(V))) | active(U63(tt)) | → | mark(tt) | |
| active(U71(tt, I, P)) | → | mark(U72(isPalListKind(I), P)) | active(U72(tt, P)) | → | mark(U73(isPal(P), P)) | |
| active(U73(tt, P)) | → | mark(U74(isPalListKind(P))) | active(U74(tt)) | → | mark(tt) | |
| active(U81(tt, V)) | → | mark(U82(isPalListKind(V), V)) | active(U82(tt, V)) | → | mark(U83(isNePal(V))) | |
| active(U83(tt)) | → | mark(tt) | active(U91(tt, V2)) | → | mark(U92(isPalListKind(V2))) | |
| active(U92(tt)) | → | mark(tt) | active(isList(V)) | → | mark(U11(isPalListKind(V), V)) | |
| active(isList(nil)) | → | mark(tt) | active(isList(__(V1, V2))) | → | mark(U21(isPalListKind(V1), V1, V2)) | |
| active(isNeList(V)) | → | mark(U31(isPalListKind(V), V)) | active(isNeList(__(V1, V2))) | → | mark(U41(isPalListKind(V1), V1, V2)) | |
| active(isNeList(__(V1, V2))) | → | mark(U51(isPalListKind(V1), V1, V2)) | active(isNePal(V)) | → | mark(U61(isPalListKind(V), V)) | |
| active(isNePal(__(I, __(P, I)))) | → | mark(U71(isQid(I), I, P)) | active(isPal(V)) | → | mark(U81(isPalListKind(V), V)) | |
| active(isPal(nil)) | → | mark(tt) | active(isPalListKind(a)) | → | mark(tt) | |
| active(isPalListKind(e)) | → | mark(tt) | active(isPalListKind(i)) | → | mark(tt) | |
| active(isPalListKind(nil)) | → | mark(tt) | active(isPalListKind(o)) | → | mark(tt) | |
| active(isPalListKind(u)) | → | mark(tt) | active(isPalListKind(__(V1, V2))) | → | mark(U91(isPalListKind(V1), V2)) | |
| active(isQid(a)) | → | mark(tt) | active(isQid(e)) | → | mark(tt) | |
| active(isQid(i)) | → | mark(tt) | active(isQid(o)) | → | mark(tt) | |
| active(isQid(u)) | → | mark(tt) | active(__(X1, X2)) | → | __(active(X1), X2) | |
| active(__(X1, X2)) | → | __(X1, active(X2)) | active(U11(X1, X2)) | → | U11(active(X1), X2) | |
| active(U12(X1, X2)) | → | U12(active(X1), X2) | active(U13(X)) | → | U13(active(X)) | |
| active(U21(X1, X2, X3)) | → | U21(active(X1), X2, X3) | active(U22(X1, X2, X3)) | → | U22(active(X1), X2, X3) | |
| active(U23(X1, X2, X3)) | → | U23(active(X1), X2, X3) | active(U24(X1, X2, X3)) | → | U24(active(X1), X2, X3) | |
| active(U25(X1, X2)) | → | U25(active(X1), X2) | active(U26(X)) | → | U26(active(X)) | |
| active(U31(X1, X2)) | → | U31(active(X1), X2) | active(U32(X1, X2)) | → | U32(active(X1), X2) | |
| active(U33(X)) | → | U33(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, X3)) | → | U71(active(X1), X2, X3) | active(U72(X1, X2)) | → | U72(active(X1), X2) | |
| active(U73(X1, X2)) | → | U73(active(X1), X2) | active(U74(X)) | → | U74(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(X)) | → | U92(active(X)) | __(mark(X1), X2) | → | mark(__(X1, X2)) | |
| __(X1, mark(X2)) | → | mark(__(X1, X2)) | U11(mark(X1), X2) | → | mark(U11(X1, X2)) | |
| U12(mark(X1), X2) | → | mark(U12(X1, X2)) | U13(mark(X)) | → | mark(U13(X)) | |
| U21(mark(X1), X2, X3) | → | mark(U21(X1, X2, X3)) | U22(mark(X1), X2, X3) | → | mark(U22(X1, X2, X3)) | |
| U23(mark(X1), X2, X3) | → | mark(U23(X1, X2, X3)) | U24(mark(X1), X2, X3) | → | mark(U24(X1, X2, X3)) | |
| U25(mark(X1), X2) | → | mark(U25(X1, X2)) | U26(mark(X)) | → | mark(U26(X)) | |
| U31(mark(X1), X2) | → | mark(U31(X1, X2)) | U32(mark(X1), X2) | → | mark(U32(X1, X2)) | |
| U33(mark(X)) | → | mark(U33(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, X3) | → | mark(U71(X1, X2, X3)) | U72(mark(X1), X2) | → | mark(U72(X1, X2)) | |
| U73(mark(X1), X2) | → | mark(U73(X1, X2)) | U74(mark(X)) | → | mark(U74(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(X)) | → | mark(U92(X)) | proper(__(X1, X2)) | → | __(proper(X1), proper(X2)) | |
| proper(nil) | → | ok(nil) | proper(U11(X1, X2)) | → | U11(proper(X1), proper(X2)) | |
| proper(tt) | → | ok(tt) | proper(U12(X1, X2)) | → | U12(proper(X1), proper(X2)) | |
| proper(isPalListKind(X)) | → | isPalListKind(proper(X)) | proper(U13(X)) | → | U13(proper(X)) | |
| proper(isNeList(X)) | → | isNeList(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(U23(X1, X2, X3)) | → | U23(proper(X1), proper(X2), proper(X3)) | |
| proper(U24(X1, X2, X3)) | → | U24(proper(X1), proper(X2), proper(X3)) | proper(U25(X1, X2)) | → | U25(proper(X1), proper(X2)) | |
| proper(isList(X)) | → | isList(proper(X)) | proper(U26(X)) | → | U26(proper(X)) | |
| proper(U31(X1, X2)) | → | U31(proper(X1), proper(X2)) | proper(U32(X1, X2)) | → | U32(proper(X1), proper(X2)) | |
| proper(U33(X)) | → | U33(proper(X)) | proper(isQid(X)) | → | isQid(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(U63(X)) | → | U63(proper(X)) | proper(U71(X1, X2, X3)) | → | U71(proper(X1), proper(X2), proper(X3)) | |
| proper(U72(X1, X2)) | → | U72(proper(X1), proper(X2)) | proper(U73(X1, X2)) | → | U73(proper(X1), proper(X2)) | |
| proper(isPal(X)) | → | isPal(proper(X)) | proper(U74(X)) | → | U74(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(isNePal(X)) | → | isNePal(proper(X)) | |
| proper(U91(X1, X2)) | → | U91(proper(X1), proper(X2)) | proper(U92(X)) | → | U92(proper(X)) | |
| proper(a) | → | ok(a) | proper(e) | → | ok(e) | |
| proper(i) | → | ok(i) | proper(o) | → | ok(o) | |
| proper(u) | → | ok(u) | __(ok(X1), ok(X2)) | → | ok(__(X1, X2)) | |
| U11(ok(X1), ok(X2)) | → | ok(U11(X1, X2)) | U12(ok(X1), ok(X2)) | → | ok(U12(X1, X2)) | |
| isPalListKind(ok(X)) | → | ok(isPalListKind(X)) | U13(ok(X)) | → | ok(U13(X)) | |
| isNeList(ok(X)) | → | ok(isNeList(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)) | U23(ok(X1), ok(X2), ok(X3)) | → | ok(U23(X1, X2, X3)) | |
| U24(ok(X1), ok(X2), ok(X3)) | → | ok(U24(X1, X2, X3)) | U25(ok(X1), ok(X2)) | → | ok(U25(X1, X2)) | |
| isList(ok(X)) | → | ok(isList(X)) | U26(ok(X)) | → | ok(U26(X)) | |
| U31(ok(X1), ok(X2)) | → | ok(U31(X1, X2)) | U32(ok(X1), ok(X2)) | → | ok(U32(X1, X2)) | |
| U33(ok(X)) | → | ok(U33(X)) | isQid(ok(X)) | → | ok(isQid(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)) | |
| U63(ok(X)) | → | ok(U63(X)) | U71(ok(X1), ok(X2), ok(X3)) | → | ok(U71(X1, X2, X3)) | |
| U72(ok(X1), ok(X2)) | → | ok(U72(X1, X2)) | U73(ok(X1), ok(X2)) | → | ok(U73(X1, X2)) | |
| isPal(ok(X)) | → | ok(isPal(X)) | U74(ok(X)) | → | ok(U74(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)) | isNePal(ok(X)) | → | ok(isNePal(X)) | |
| U91(ok(X1), ok(X2)) | → | ok(U91(X1, X2)) | U92(ok(X)) | → | ok(U92(X)) | |
| top(mark(X)) | → | top(proper(X)) | top(ok(X)) | → | top(active(X)) |
Termination of terms over the following signature is verified: U63, U25, U62, U26, U61, ok, proper, U23, U24, U21, U22, mark, isPal, U71, U73, U72, U74, active, isQid, U31, U32, U33, isList, isNeList, __, U46, U45, U44, U43, U42, U41, U92, isNePal, U91, top, e, isPalListKind, a, U83, o, i, U55, U54, u, U56, U51, tt, U53, U82, U52, U81, U11, U12, U13, nil