MAYBE 0.37/0.40 MAYBE 0.37/0.41 0.37/0.41 Problem: 0.37/0.41 active(__(__(X,Y),Z)) -> mark(__(X,__(Y,Z))) 0.37/0.41 active(__(X,nil())) -> mark(X) 0.37/0.41 active(__(nil(),X)) -> mark(X) 0.37/0.41 active(U11(tt(),V)) -> mark(U12(isPalListKind(V),V)) 0.37/0.41 active(U12(tt(),V)) -> mark(U13(isNeList(V))) 0.37/0.41 active(U13(tt())) -> mark(tt()) 0.37/0.41 active(U21(tt(),V1,V2)) -> mark(U22(isPalListKind(V1),V1,V2)) 0.37/0.41 active(U22(tt(),V1,V2)) -> mark(U23(isPalListKind(V2),V1,V2)) 0.37/0.41 active(U23(tt(),V1,V2)) -> mark(U24(isPalListKind(V2),V1,V2)) 0.37/0.41 active(U24(tt(),V1,V2)) -> mark(U25(isList(V1),V2)) 0.37/0.41 active(U25(tt(),V2)) -> mark(U26(isList(V2))) 0.37/0.41 active(U26(tt())) -> mark(tt()) 0.37/0.41 active(U31(tt(),V)) -> mark(U32(isPalListKind(V),V)) 0.37/0.41 active(U32(tt(),V)) -> mark(U33(isQid(V))) 0.37/0.41 active(U33(tt())) -> mark(tt()) 0.37/0.41 active(U41(tt(),V1,V2)) -> mark(U42(isPalListKind(V1),V1,V2)) 0.37/0.41 active(U42(tt(),V1,V2)) -> mark(U43(isPalListKind(V2),V1,V2)) 0.37/0.41 active(U43(tt(),V1,V2)) -> mark(U44(isPalListKind(V2),V1,V2)) 0.37/0.41 active(U44(tt(),V1,V2)) -> mark(U45(isList(V1),V2)) 0.37/0.41 active(U45(tt(),V2)) -> mark(U46(isNeList(V2))) 0.37/0.41 active(U46(tt())) -> mark(tt()) 0.37/0.41 active(U51(tt(),V1,V2)) -> mark(U52(isPalListKind(V1),V1,V2)) 0.37/0.41 active(U52(tt(),V1,V2)) -> mark(U53(isPalListKind(V2),V1,V2)) 0.37/0.41 active(U53(tt(),V1,V2)) -> mark(U54(isPalListKind(V2),V1,V2)) 0.37/0.41 active(U54(tt(),V1,V2)) -> mark(U55(isNeList(V1),V2)) 0.37/0.41 active(U55(tt(),V2)) -> mark(U56(isList(V2))) 0.37/0.41 active(U56(tt())) -> mark(tt()) 0.37/0.41 active(U61(tt(),V)) -> mark(U62(isPalListKind(V),V)) 0.37/0.41 active(U62(tt(),V)) -> mark(U63(isQid(V))) 0.37/0.41 active(U63(tt())) -> mark(tt()) 0.37/0.41 active(U71(tt(),I,P)) -> mark(U72(isPalListKind(I),P)) 0.37/0.41 active(U72(tt(),P)) -> mark(U73(isPal(P),P)) 0.37/0.41 active(U73(tt(),P)) -> mark(U74(isPalListKind(P))) 0.37/0.41 active(U74(tt())) -> mark(tt()) 0.37/0.41 active(U81(tt(),V)) -> mark(U82(isPalListKind(V),V)) 0.37/0.41 active(U82(tt(),V)) -> mark(U83(isNePal(V))) 0.37/0.41 active(U83(tt())) -> mark(tt()) 0.37/0.41 active(U91(tt(),V2)) -> mark(U92(isPalListKind(V2))) 0.37/0.41 active(U92(tt())) -> mark(tt()) 0.37/0.41 active(isList(V)) -> mark(U11(isPalListKind(V),V)) 0.37/0.41 active(isList(nil())) -> mark(tt()) 0.37/0.41 active(isList(__(V1,V2))) -> mark(U21(isPalListKind(V1),V1,V2)) 0.37/0.41 active(isNeList(V)) -> mark(U31(isPalListKind(V),V)) 0.37/0.41 active(isNeList(__(V1,V2))) -> mark(U41(isPalListKind(V1),V1,V2)) 0.37/0.41 active(isNeList(__(V1,V2))) -> mark(U51(isPalListKind(V1),V1,V2)) 0.37/0.41 active(isNePal(V)) -> mark(U61(isPalListKind(V),V)) 0.37/0.41 active(isNePal(__(I,__(P,I)))) -> mark(U71(isQid(I),I,P)) 0.37/0.41 active(isPal(V)) -> mark(U81(isPalListKind(V),V)) 0.37/0.41 active(isPal(nil())) -> mark(tt()) 0.37/0.41 active(isPalListKind(a())) -> mark(tt()) 0.37/0.41 active(isPalListKind(e())) -> mark(tt()) 0.37/0.41 active(isPalListKind(i())) -> mark(tt()) 0.37/0.41 active(isPalListKind(nil())) -> mark(tt()) 0.37/0.41 active(isPalListKind(o())) -> mark(tt()) 0.37/0.41 active(isPalListKind(u())) -> mark(tt()) 0.37/0.41 active(isPalListKind(__(V1,V2))) -> mark(U91(isPalListKind(V1),V2)) 0.37/0.41 active(isQid(a())) -> mark(tt()) 0.37/0.41 active(isQid(e())) -> mark(tt()) 0.37/0.41 active(isQid(i())) -> mark(tt()) 0.37/0.41 active(isQid(o())) -> mark(tt()) 0.37/0.41 active(isQid(u())) -> mark(tt()) 0.37/0.41 active(__(X1,X2)) -> __(active(X1),X2) 0.37/0.41 active(__(X1,X2)) -> __(X1,active(X2)) 0.37/0.41 active(U11(X1,X2)) -> U11(active(X1),X2) 0.37/0.41 active(U12(X1,X2)) -> U12(active(X1),X2) 0.37/0.41 active(U13(X)) -> U13(active(X)) 0.37/0.41 active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3) 0.37/0.41 active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3) 0.37/0.41 active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3) 0.37/0.41 active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3) 0.37/0.41 active(U25(X1,X2)) -> U25(active(X1),X2) 0.37/0.41 active(U26(X)) -> U26(active(X)) 0.37/0.41 active(U31(X1,X2)) -> U31(active(X1),X2) 0.37/0.41 active(U32(X1,X2)) -> U32(active(X1),X2) 0.37/0.41 active(U33(X)) -> U33(active(X)) 0.37/0.41 active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3) 0.37/0.41 active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3) 0.37/0.41 active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3) 0.37/0.41 active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3) 0.37/0.41 active(U45(X1,X2)) -> U45(active(X1),X2) 0.37/0.41 active(U46(X)) -> U46(active(X)) 0.37/0.41 active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3) 0.37/0.41 active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3) 0.37/0.41 active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3) 0.37/0.41 active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3) 0.37/0.41 active(U55(X1,X2)) -> U55(active(X1),X2) 0.37/0.41 active(U56(X)) -> U56(active(X)) 0.37/0.41 active(U61(X1,X2)) -> U61(active(X1),X2) 0.37/0.41 active(U62(X1,X2)) -> U62(active(X1),X2) 0.37/0.41 active(U63(X)) -> U63(active(X)) 0.37/0.41 active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3) 0.37/0.41 active(U72(X1,X2)) -> U72(active(X1),X2) 0.37/0.41 active(U73(X1,X2)) -> U73(active(X1),X2) 0.37/0.41 active(U74(X)) -> U74(active(X)) 0.37/0.41 active(U81(X1,X2)) -> U81(active(X1),X2) 0.37/0.41 active(U82(X1,X2)) -> U82(active(X1),X2) 0.37/0.41 active(U83(X)) -> U83(active(X)) 0.37/0.41 active(U91(X1,X2)) -> U91(active(X1),X2) 0.37/0.41 active(U92(X)) -> U92(active(X)) 0.37/0.41 __(mark(X1),X2) -> mark(__(X1,X2)) 0.37/0.41 __(X1,mark(X2)) -> mark(__(X1,X2)) 0.37/0.41 U11(mark(X1),X2) -> mark(U11(X1,X2)) 0.37/0.41 U12(mark(X1),X2) -> mark(U12(X1,X2)) 0.37/0.41 U13(mark(X)) -> mark(U13(X)) 0.37/0.41 U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3)) 0.37/0.41 U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3)) 0.37/0.41 U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3)) 0.37/0.41 U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3)) 0.37/0.41 U25(mark(X1),X2) -> mark(U25(X1,X2)) 0.37/0.41 U26(mark(X)) -> mark(U26(X)) 0.37/0.41 U31(mark(X1),X2) -> mark(U31(X1,X2)) 0.37/0.41 U32(mark(X1),X2) -> mark(U32(X1,X2)) 0.37/0.41 U33(mark(X)) -> mark(U33(X)) 0.37/0.41 U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3)) 0.37/0.41 U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3)) 0.37/0.41 U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3)) 0.37/0.41 U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3)) 0.37/0.41 U45(mark(X1),X2) -> mark(U45(X1,X2)) 0.37/0.41 U46(mark(X)) -> mark(U46(X)) 0.37/0.41 U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3)) 0.37/0.41 U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3)) 0.37/0.41 U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3)) 0.37/0.41 U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3)) 0.37/0.41 U55(mark(X1),X2) -> mark(U55(X1,X2)) 0.37/0.41 U56(mark(X)) -> mark(U56(X)) 0.37/0.41 U61(mark(X1),X2) -> mark(U61(X1,X2)) 0.37/0.41 U62(mark(X1),X2) -> mark(U62(X1,X2)) 0.37/0.41 U63(mark(X)) -> mark(U63(X)) 0.37/0.41 U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3)) 0.37/0.41 U72(mark(X1),X2) -> mark(U72(X1,X2)) 0.37/0.41 U73(mark(X1),X2) -> mark(U73(X1,X2)) 0.37/0.41 U74(mark(X)) -> mark(U74(X)) 0.37/0.41 U81(mark(X1),X2) -> mark(U81(X1,X2)) 0.37/0.41 U82(mark(X1),X2) -> mark(U82(X1,X2)) 0.37/0.41 U83(mark(X)) -> mark(U83(X)) 0.37/0.41 U91(mark(X1),X2) -> mark(U91(X1,X2)) 0.37/0.41 U92(mark(X)) -> mark(U92(X)) 0.37/0.41 proper(__(X1,X2)) -> __(proper(X1),proper(X2)) 0.37/0.41 proper(nil()) -> ok(nil()) 0.37/0.41 proper(U11(X1,X2)) -> U11(proper(X1),proper(X2)) 0.37/0.41 proper(tt()) -> ok(tt()) 0.37/0.41 proper(U12(X1,X2)) -> U12(proper(X1),proper(X2)) 0.37/0.41 proper(isPalListKind(X)) -> isPalListKind(proper(X)) 0.37/0.41 proper(U13(X)) -> U13(proper(X)) 0.37/0.41 proper(isNeList(X)) -> isNeList(proper(X)) 0.37/0.41 proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3)) 0.37/0.41 proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3)) 0.37/0.41 proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3)) 0.37/0.41 proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3)) 0.37/0.41 proper(U25(X1,X2)) -> U25(proper(X1),proper(X2)) 0.37/0.41 proper(isList(X)) -> isList(proper(X)) 0.37/0.41 proper(U26(X)) -> U26(proper(X)) 0.37/0.41 proper(U31(X1,X2)) -> U31(proper(X1),proper(X2)) 0.37/0.41 proper(U32(X1,X2)) -> U32(proper(X1),proper(X2)) 0.37/0.41 proper(U33(X)) -> U33(proper(X)) 0.37/0.41 proper(isQid(X)) -> isQid(proper(X)) 0.37/0.41 proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3)) 0.37/0.41 proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3)) 0.37/0.41 proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3)) 0.37/0.41 proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3)) 0.37/0.41 proper(U45(X1,X2)) -> U45(proper(X1),proper(X2)) 0.37/0.41 proper(U46(X)) -> U46(proper(X)) 0.37/0.41 proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3)) 0.37/0.41 proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3)) 0.37/0.41 proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3)) 0.37/0.41 proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3)) 0.37/0.41 proper(U55(X1,X2)) -> U55(proper(X1),proper(X2)) 0.37/0.41 proper(U56(X)) -> U56(proper(X)) 0.37/0.41 proper(U61(X1,X2)) -> U61(proper(X1),proper(X2)) 0.37/0.41 proper(U62(X1,X2)) -> U62(proper(X1),proper(X2)) 0.37/0.41 proper(U63(X)) -> U63(proper(X)) 0.37/0.41 proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3)) 0.37/0.41 proper(U72(X1,X2)) -> U72(proper(X1),proper(X2)) 0.37/0.41 proper(U73(X1,X2)) -> U73(proper(X1),proper(X2)) 0.37/0.41 proper(isPal(X)) -> isPal(proper(X)) 0.37/0.41 proper(U74(X)) -> U74(proper(X)) 0.37/0.41 proper(U81(X1,X2)) -> U81(proper(X1),proper(X2)) 0.37/0.41 proper(U82(X1,X2)) -> U82(proper(X1),proper(X2)) 0.37/0.41 proper(U83(X)) -> U83(proper(X)) 0.37/0.41 proper(isNePal(X)) -> isNePal(proper(X)) 0.37/0.41 proper(U91(X1,X2)) -> U91(proper(X1),proper(X2)) 0.37/0.41 proper(U92(X)) -> U92(proper(X)) 0.37/0.41 proper(a()) -> ok(a()) 0.37/0.41 proper(e()) -> ok(e()) 0.37/0.41 proper(i()) -> ok(i()) 0.37/0.41 proper(o()) -> ok(o()) 0.37/0.41 proper(u()) -> ok(u()) 0.37/0.41 __(ok(X1),ok(X2)) -> ok(__(X1,X2)) 0.37/0.41 U11(ok(X1),ok(X2)) -> ok(U11(X1,X2)) 0.37/0.41 U12(ok(X1),ok(X2)) -> ok(U12(X1,X2)) 0.37/0.41 isPalListKind(ok(X)) -> ok(isPalListKind(X)) 0.37/0.41 U13(ok(X)) -> ok(U13(X)) 0.37/0.41 isNeList(ok(X)) -> ok(isNeList(X)) 0.37/0.41 U21(ok(X1),ok(X2),ok(X3)) -> ok(U21(X1,X2,X3)) 0.37/0.41 U22(ok(X1),ok(X2),ok(X3)) -> ok(U22(X1,X2,X3)) 0.37/0.41 U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3)) 0.37/0.41 U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3)) 0.37/0.41 U25(ok(X1),ok(X2)) -> ok(U25(X1,X2)) 0.37/0.41 isList(ok(X)) -> ok(isList(X)) 0.37/0.41 U26(ok(X)) -> ok(U26(X)) 0.37/0.41 U31(ok(X1),ok(X2)) -> ok(U31(X1,X2)) 0.37/0.41 U32(ok(X1),ok(X2)) -> ok(U32(X1,X2)) 0.37/0.41 U33(ok(X)) -> ok(U33(X)) 0.37/0.41 isQid(ok(X)) -> ok(isQid(X)) 0.37/0.41 U41(ok(X1),ok(X2),ok(X3)) -> ok(U41(X1,X2,X3)) 0.37/0.41 U42(ok(X1),ok(X2),ok(X3)) -> ok(U42(X1,X2,X3)) 0.37/0.41 U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3)) 0.37/0.41 U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3)) 0.37/0.41 U45(ok(X1),ok(X2)) -> ok(U45(X1,X2)) 0.37/0.41 U46(ok(X)) -> ok(U46(X)) 0.37/0.41 U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3)) 0.37/0.41 U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3)) 0.37/0.41 U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3)) 0.37/0.41 U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3)) 0.37/0.41 U55(ok(X1),ok(X2)) -> ok(U55(X1,X2)) 0.37/0.41 U56(ok(X)) -> ok(U56(X)) 0.37/0.41 U61(ok(X1),ok(X2)) -> ok(U61(X1,X2)) 0.37/0.41 U62(ok(X1),ok(X2)) -> ok(U62(X1,X2)) 0.37/0.41 U63(ok(X)) -> ok(U63(X)) 0.37/0.41 U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3)) 0.37/0.41 U72(ok(X1),ok(X2)) -> ok(U72(X1,X2)) 0.37/0.41 U73(ok(X1),ok(X2)) -> ok(U73(X1,X2)) 0.37/0.41 isPal(ok(X)) -> ok(isPal(X)) 0.37/0.41 U74(ok(X)) -> ok(U74(X)) 0.37/0.41 U81(ok(X1),ok(X2)) -> ok(U81(X1,X2)) 0.37/0.41 U82(ok(X1),ok(X2)) -> ok(U82(X1,X2)) 0.37/0.41 U83(ok(X)) -> ok(U83(X)) 0.37/0.41 isNePal(ok(X)) -> ok(isNePal(X)) 0.37/0.41 U91(ok(X1),ok(X2)) -> ok(U91(X1,X2)) 0.37/0.41 U92(ok(X)) -> ok(U92(X)) 0.37/0.41 top(mark(X)) -> top(proper(X)) 0.37/0.41 top(ok(X)) -> top(active(X)) 0.37/0.41 0.37/0.41 Proof: 0.37/0.41 Open 0.37/0.42 EOF