YES Problem: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> tt() a__U21(tt(),V2) -> a__U22(a__isList(V2)) a__U22(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNeList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isList(V2)) a__U52(tt()) -> tt() a__U61(tt()) -> tt() a__U71(tt(),P) -> a__U72(a__isPal(P)) a__U72(tt()) -> tt() a__U81(tt()) -> tt() a__isList(V) -> a__U11(a__isNeList(V)) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2) a__isNeList(V) -> a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2) a__isNePal(V) -> a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P) a__isPal(V) -> a__U81(a__isNePal(V)) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(isList(X)) -> a__isList(X) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2)) -> a__U71(mark(X1),X2) mark(U72(X)) -> a__U72(mark(X)) mark(isPal(X)) -> a__isPal(X) mark(U81(X)) -> a__U81(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U21(X1,X2) -> U21(X1,X2) a__U22(X) -> U22(X) a__isList(X) -> isList(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNeList(X) -> isNeList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X1,X2) -> U71(X1,X2) a__U72(X) -> U72(X) a__isPal(X) -> isPal(X) a__U81(X) -> U81(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) Proof: DP Processor: DPs: a____#(__(X,Y),Z) -> mark#(Z) a____#(__(X,Y),Z) -> mark#(Y) a____#(__(X,Y),Z) -> a____#(mark(Y),mark(Z)) a____#(__(X,Y),Z) -> mark#(X) a____#(__(X,Y),Z) -> a____#(mark(X),a____(mark(Y),mark(Z))) a____#(X,nil()) -> mark#(X) a____#(nil(),X) -> mark#(X) a__U21#(tt(),V2) -> a__isList#(V2) a__U21#(tt(),V2) -> a__U22#(a__isList(V2)) a__U41#(tt(),V2) -> a__isNeList#(V2) a__U41#(tt(),V2) -> a__U42#(a__isNeList(V2)) a__U51#(tt(),V2) -> a__isList#(V2) a__U51#(tt(),V2) -> a__U52#(a__isList(V2)) a__U71#(tt(),P) -> a__isPal#(P) a__U71#(tt(),P) -> a__U72#(a__isPal(P)) a__isList#(V) -> a__isNeList#(V) a__isList#(V) -> a__U11#(a__isNeList(V)) a__isList#(__(V1,V2)) -> a__isList#(V1) a__isList#(__(V1,V2)) -> a__U21#(a__isList(V1),V2) a__isNeList#(V) -> a__isQid#(V) a__isNeList#(V) -> a__U31#(a__isQid(V)) a__isNeList#(__(V1,V2)) -> a__isList#(V1) a__isNeList#(__(V1,V2)) -> a__U41#(a__isList(V1),V2) a__isNeList#(__(V1,V2)) -> a__isNeList#(V1) a__isNeList#(__(V1,V2)) -> a__U51#(a__isNeList(V1),V2) a__isNePal#(V) -> a__isQid#(V) a__isNePal#(V) -> a__U61#(a__isQid(V)) a__isNePal#(__(I,__(P,I))) -> a__isQid#(I) a__isNePal#(__(I,__(P,I))) -> a__U71#(a__isQid(I),P) a__isPal#(V) -> a__isNePal#(V) a__isPal#(V) -> a__U81#(a__isNePal(V)) mark#(__(X1,X2)) -> mark#(X2) mark#(__(X1,X2)) -> mark#(X1) mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) mark#(U11(X)) -> mark#(X) mark#(U11(X)) -> a__U11#(mark(X)) mark#(U21(X1,X2)) -> mark#(X1) mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) mark#(U22(X)) -> mark#(X) mark#(U22(X)) -> a__U22#(mark(X)) mark#(isList(X)) -> a__isList#(X) mark#(U31(X)) -> mark#(X) mark#(U31(X)) -> a__U31#(mark(X)) mark#(U41(X1,X2)) -> mark#(X1) mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) mark#(U42(X)) -> mark#(X) mark#(U42(X)) -> a__U42#(mark(X)) mark#(isNeList(X)) -> a__isNeList#(X) mark#(U51(X1,X2)) -> mark#(X1) mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) mark#(U52(X)) -> mark#(X) mark#(U52(X)) -> a__U52#(mark(X)) mark#(U61(X)) -> mark#(X) mark#(U61(X)) -> a__U61#(mark(X)) mark#(U71(X1,X2)) -> mark#(X1) mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) mark#(U72(X)) -> mark#(X) mark#(U72(X)) -> a__U72#(mark(X)) mark#(isPal(X)) -> a__isPal#(X) mark#(U81(X)) -> mark#(X) mark#(U81(X)) -> a__U81#(mark(X)) mark#(isQid(X)) -> a__isQid#(X) mark#(isNePal(X)) -> a__isNePal#(X) TRS: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> tt() a__U21(tt(),V2) -> a__U22(a__isList(V2)) a__U22(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNeList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isList(V2)) a__U52(tt()) -> tt() a__U61(tt()) -> tt() a__U71(tt(),P) -> a__U72(a__isPal(P)) a__U72(tt()) -> tt() a__U81(tt()) -> tt() a__isList(V) -> a__U11(a__isNeList(V)) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2) a__isNeList(V) -> a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2) a__isNePal(V) -> a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P) a__isPal(V) -> a__U81(a__isNePal(V)) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(isList(X)) -> a__isList(X) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2)) -> a__U71(mark(X1),X2) mark(U72(X)) -> a__U72(mark(X)) mark(isPal(X)) -> a__isPal(X) mark(U81(X)) -> a__U81(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U21(X1,X2) -> U21(X1,X2) a__U22(X) -> U22(X) a__isList(X) -> isList(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNeList(X) -> isNeList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X1,X2) -> U71(X1,X2) a__U72(X) -> U72(X) a__isPal(X) -> isPal(X) a__U81(X) -> U81(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) TDG Processor: DPs: a____#(__(X,Y),Z) -> mark#(Z) a____#(__(X,Y),Z) -> mark#(Y) a____#(__(X,Y),Z) -> a____#(mark(Y),mark(Z)) a____#(__(X,Y),Z) -> mark#(X) a____#(__(X,Y),Z) -> a____#(mark(X),a____(mark(Y),mark(Z))) a____#(X,nil()) -> mark#(X) a____#(nil(),X) -> mark#(X) a__U21#(tt(),V2) -> a__isList#(V2) a__U21#(tt(),V2) -> a__U22#(a__isList(V2)) a__U41#(tt(),V2) -> a__isNeList#(V2) a__U41#(tt(),V2) -> a__U42#(a__isNeList(V2)) a__U51#(tt(),V2) -> a__isList#(V2) a__U51#(tt(),V2) -> a__U52#(a__isList(V2)) a__U71#(tt(),P) -> a__isPal#(P) a__U71#(tt(),P) -> a__U72#(a__isPal(P)) a__isList#(V) -> a__isNeList#(V) a__isList#(V) -> a__U11#(a__isNeList(V)) a__isList#(__(V1,V2)) -> a__isList#(V1) a__isList#(__(V1,V2)) -> a__U21#(a__isList(V1),V2) a__isNeList#(V) -> a__isQid#(V) a__isNeList#(V) -> a__U31#(a__isQid(V)) a__isNeList#(__(V1,V2)) -> a__isList#(V1) a__isNeList#(__(V1,V2)) -> a__U41#(a__isList(V1),V2) a__isNeList#(__(V1,V2)) -> a__isNeList#(V1) a__isNeList#(__(V1,V2)) -> a__U51#(a__isNeList(V1),V2) a__isNePal#(V) -> a__isQid#(V) a__isNePal#(V) -> a__U61#(a__isQid(V)) a__isNePal#(__(I,__(P,I))) -> a__isQid#(I) a__isNePal#(__(I,__(P,I))) -> a__U71#(a__isQid(I),P) a__isPal#(V) -> a__isNePal#(V) a__isPal#(V) -> a__U81#(a__isNePal(V)) mark#(__(X1,X2)) -> mark#(X2) mark#(__(X1,X2)) -> mark#(X1) mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) mark#(U11(X)) -> mark#(X) mark#(U11(X)) -> a__U11#(mark(X)) mark#(U21(X1,X2)) -> mark#(X1) mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) mark#(U22(X)) -> mark#(X) mark#(U22(X)) -> a__U22#(mark(X)) mark#(isList(X)) -> a__isList#(X) mark#(U31(X)) -> mark#(X) mark#(U31(X)) -> a__U31#(mark(X)) mark#(U41(X1,X2)) -> mark#(X1) mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) mark#(U42(X)) -> mark#(X) mark#(U42(X)) -> a__U42#(mark(X)) mark#(isNeList(X)) -> a__isNeList#(X) mark#(U51(X1,X2)) -> mark#(X1) mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) mark#(U52(X)) -> mark#(X) mark#(U52(X)) -> a__U52#(mark(X)) mark#(U61(X)) -> mark#(X) mark#(U61(X)) -> a__U61#(mark(X)) mark#(U71(X1,X2)) -> mark#(X1) mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) mark#(U72(X)) -> mark#(X) mark#(U72(X)) -> a__U72#(mark(X)) mark#(isPal(X)) -> a__isPal#(X) mark#(U81(X)) -> mark#(X) mark#(U81(X)) -> a__U81#(mark(X)) mark#(isQid(X)) -> a__isQid#(X) mark#(isNePal(X)) -> a__isNePal#(X) TRS: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> tt() a__U21(tt(),V2) -> a__U22(a__isList(V2)) a__U22(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNeList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isList(V2)) a__U52(tt()) -> tt() a__U61(tt()) -> tt() a__U71(tt(),P) -> a__U72(a__isPal(P)) a__U72(tt()) -> tt() a__U81(tt()) -> tt() a__isList(V) -> a__U11(a__isNeList(V)) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2) a__isNeList(V) -> a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2) a__isNePal(V) -> a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P) a__isPal(V) -> a__U81(a__isNePal(V)) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(isList(X)) -> a__isList(X) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2)) -> a__U71(mark(X1),X2) mark(U72(X)) -> a__U72(mark(X)) mark(isPal(X)) -> a__isPal(X) mark(U81(X)) -> a__U81(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U21(X1,X2) -> U21(X1,X2) a__U22(X) -> U22(X) a__isList(X) -> isList(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNeList(X) -> isNeList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X1,X2) -> U71(X1,X2) a__U72(X) -> U72(X) a__isPal(X) -> isPal(X) a__U81(X) -> U81(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) graph: a__isNePal#(__(I,__(P,I))) -> a__U71#(a__isQid(I),P) -> a__U71#(tt(),P) -> a__U72#(a__isPal(P)) a__isNePal#(__(I,__(P,I))) -> a__U71#(a__isQid(I),P) -> a__U71#(tt(),P) -> a__isPal#(P) a__isPal#(V) -> a__isNePal#(V) -> a__isNePal#(__(I,__(P,I))) -> a__U71#(a__isQid(I),P) a__isPal#(V) -> a__isNePal#(V) -> a__isNePal#(__(I,__(P,I))) -> a__isQid#(I) a__isPal#(V) -> a__isNePal#(V) -> a__isNePal#(V) -> a__U61#(a__isQid(V)) a__isPal#(V) -> a__isNePal#(V) -> a__isNePal#(V) -> a__isQid#(V) a__U71#(tt(),P) -> a__isPal#(P) -> a__isPal#(V) -> a__U81#(a__isNePal(V)) a__U71#(tt(),P) -> a__isPal#(P) -> a__isPal#(V) -> a__isNePal#(V) a__U51#(tt(),V2) -> a__isList#(V2) -> a__isList#(__(V1,V2)) -> a__U21#(a__isList(V1),V2) a__U51#(tt(),V2) -> a__isList#(V2) -> a__isList#(__(V1,V2)) -> a__isList#(V1) a__U51#(tt(),V2) -> a__isList#(V2) -> a__isList#(V) -> a__U11#(a__isNeList(V)) a__U51#(tt(),V2) -> a__isList#(V2) -> a__isList#(V) -> a__isNeList#(V) a__isNeList#(__(V1,V2)) -> a__U51#(a__isNeList(V1),V2) -> a__U51#(tt(),V2) -> a__U52#(a__isList(V2)) a__isNeList#(__(V1,V2)) -> a__U51#(a__isNeList(V1),V2) -> a__U51#(tt(),V2) -> a__isList#(V2) a__isNeList#(__(V1,V2)) -> a__isNeList#(V1) -> a__isNeList#(__(V1,V2)) -> a__U51#(a__isNeList(V1),V2) a__isNeList#(__(V1,V2)) -> a__isNeList#(V1) -> a__isNeList#(__(V1,V2)) -> a__isNeList#(V1) a__isNeList#(__(V1,V2)) -> a__isNeList#(V1) -> a__isNeList#(__(V1,V2)) -> a__U41#(a__isList(V1),V2) a__isNeList#(__(V1,V2)) -> a__isNeList#(V1) -> a__isNeList#(__(V1,V2)) -> a__isList#(V1) a__isNeList#(__(V1,V2)) -> a__isNeList#(V1) -> a__isNeList#(V) -> a__U31#(a__isQid(V)) a__isNeList#(__(V1,V2)) -> a__isNeList#(V1) -> a__isNeList#(V) -> a__isQid#(V) a__isNeList#(__(V1,V2)) -> a__U41#(a__isList(V1),V2) -> a__U41#(tt(),V2) -> a__U42#(a__isNeList(V2)) a__isNeList#(__(V1,V2)) -> a__U41#(a__isList(V1),V2) -> a__U41#(tt(),V2) -> a__isNeList#(V2) a__isNeList#(__(V1,V2)) -> a__isList#(V1) -> a__isList#(__(V1,V2)) -> a__U21#(a__isList(V1),V2) a__isNeList#(__(V1,V2)) -> a__isList#(V1) -> a__isList#(__(V1,V2)) -> a__isList#(V1) a__isNeList#(__(V1,V2)) -> a__isList#(V1) -> a__isList#(V) -> a__U11#(a__isNeList(V)) a__isNeList#(__(V1,V2)) -> a__isList#(V1) -> a__isList#(V) -> a__isNeList#(V) a__U41#(tt(),V2) -> a__isNeList#(V2) -> a__isNeList#(__(V1,V2)) -> a__U51#(a__isNeList(V1),V2) a__U41#(tt(),V2) -> a__isNeList#(V2) -> a__isNeList#(__(V1,V2)) -> a__isNeList#(V1) a__U41#(tt(),V2) -> a__isNeList#(V2) -> a__isNeList#(__(V1,V2)) -> a__U41#(a__isList(V1),V2) a__U41#(tt(),V2) -> a__isNeList#(V2) -> a__isNeList#(__(V1,V2)) -> a__isList#(V1) a__U41#(tt(),V2) -> a__isNeList#(V2) -> a__isNeList#(V) -> a__U31#(a__isQid(V)) a__U41#(tt(),V2) -> a__isNeList#(V2) -> a__isNeList#(V) -> a__isQid#(V) a__isList#(__(V1,V2)) -> a__isList#(V1) -> a__isList#(__(V1,V2)) -> a__U21#(a__isList(V1),V2) a__isList#(__(V1,V2)) -> a__isList#(V1) -> a__isList#(__(V1,V2)) -> a__isList#(V1) a__isList#(__(V1,V2)) -> a__isList#(V1) -> a__isList#(V) -> a__U11#(a__isNeList(V)) a__isList#(__(V1,V2)) -> a__isList#(V1) -> a__isList#(V) -> a__isNeList#(V) a__isList#(__(V1,V2)) -> a__U21#(a__isList(V1),V2) -> a__U21#(tt(),V2) -> a__U22#(a__isList(V2)) a__isList#(__(V1,V2)) -> a__U21#(a__isList(V1),V2) -> a__U21#(tt(),V2) -> a__isList#(V2) a__isList#(V) -> a__isNeList#(V) -> a__isNeList#(__(V1,V2)) -> a__U51#(a__isNeList(V1),V2) a__isList#(V) -> a__isNeList#(V) -> a__isNeList#(__(V1,V2)) -> a__isNeList#(V1) a__isList#(V) -> a__isNeList#(V) -> a__isNeList#(__(V1,V2)) -> a__U41#(a__isList(V1),V2) a__isList#(V) -> a__isNeList#(V) -> a__isNeList#(__(V1,V2)) -> a__isList#(V1) a__isList#(V) -> a__isNeList#(V) -> a__isNeList#(V) -> a__U31#(a__isQid(V)) a__isList#(V) -> a__isNeList#(V) -> a__isNeList#(V) -> a__isQid#(V) a__U21#(tt(),V2) -> a__isList#(V2) -> a__isList#(__(V1,V2)) -> a__U21#(a__isList(V1),V2) a__U21#(tt(),V2) -> a__isList#(V2) -> a__isList#(__(V1,V2)) -> a__isList#(V1) a__U21#(tt(),V2) -> a__isList#(V2) -> a__isList#(V) -> a__U11#(a__isNeList(V)) a__U21#(tt(),V2) -> a__isList#(V2) -> a__isList#(V) -> a__isNeList#(V) mark#(isNePal(X)) -> a__isNePal#(X) -> a__isNePal#(__(I,__(P,I))) -> a__U71#(a__isQid(I),P) mark#(isNePal(X)) -> a__isNePal#(X) -> a__isNePal#(__(I,__(P,I))) -> a__isQid#(I) mark#(isNePal(X)) -> a__isNePal#(X) -> a__isNePal#(V) -> a__U61#(a__isQid(V)) mark#(isNePal(X)) -> a__isNePal#(X) -> a__isNePal#(V) -> a__isQid#(V) mark#(U81(X)) -> mark#(X) -> mark#(isNePal(X)) -> a__isNePal#(X) mark#(U81(X)) -> mark#(X) -> mark#(isQid(X)) -> a__isQid#(X) mark#(U81(X)) -> mark#(X) -> mark#(U81(X)) -> a__U81#(mark(X)) mark#(U81(X)) -> mark#(X) -> mark#(U81(X)) -> mark#(X) mark#(U81(X)) -> mark#(X) -> mark#(isPal(X)) -> a__isPal#(X) mark#(U81(X)) -> mark#(X) -> mark#(U72(X)) -> a__U72#(mark(X)) mark#(U81(X)) -> mark#(X) -> mark#(U72(X)) -> mark#(X) mark#(U81(X)) -> mark#(X) -> mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) mark#(U81(X)) -> mark#(X) -> mark#(U71(X1,X2)) -> mark#(X1) mark#(U81(X)) -> mark#(X) -> mark#(U61(X)) -> a__U61#(mark(X)) mark#(U81(X)) -> mark#(X) -> mark#(U61(X)) -> mark#(X) mark#(U81(X)) -> mark#(X) -> mark#(U52(X)) -> a__U52#(mark(X)) mark#(U81(X)) -> mark#(X) -> mark#(U52(X)) -> mark#(X) mark#(U81(X)) -> mark#(X) -> mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) mark#(U81(X)) -> mark#(X) -> mark#(U51(X1,X2)) -> mark#(X1) mark#(U81(X)) -> mark#(X) -> mark#(isNeList(X)) -> a__isNeList#(X) mark#(U81(X)) -> mark#(X) -> mark#(U42(X)) -> a__U42#(mark(X)) mark#(U81(X)) -> mark#(X) -> mark#(U42(X)) -> mark#(X) mark#(U81(X)) -> mark#(X) -> mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) mark#(U81(X)) -> mark#(X) -> mark#(U41(X1,X2)) -> mark#(X1) mark#(U81(X)) -> mark#(X) -> mark#(U31(X)) -> a__U31#(mark(X)) mark#(U81(X)) -> mark#(X) -> mark#(U31(X)) -> mark#(X) mark#(U81(X)) -> mark#(X) -> mark#(isList(X)) -> a__isList#(X) mark#(U81(X)) -> mark#(X) -> mark#(U22(X)) -> a__U22#(mark(X)) mark#(U81(X)) -> mark#(X) -> mark#(U22(X)) -> mark#(X) mark#(U81(X)) -> mark#(X) -> mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) mark#(U81(X)) -> mark#(X) -> mark#(U21(X1,X2)) -> mark#(X1) mark#(U81(X)) -> mark#(X) -> mark#(U11(X)) -> a__U11#(mark(X)) mark#(U81(X)) -> mark#(X) -> mark#(U11(X)) -> mark#(X) mark#(U81(X)) -> mark#(X) -> mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) mark#(U81(X)) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X1) mark#(U81(X)) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X2) mark#(isPal(X)) -> a__isPal#(X) -> a__isPal#(V) -> a__U81#(a__isNePal(V)) mark#(isPal(X)) -> a__isPal#(X) -> a__isPal#(V) -> a__isNePal#(V) mark#(U72(X)) -> mark#(X) -> mark#(isNePal(X)) -> a__isNePal#(X) mark#(U72(X)) -> mark#(X) -> mark#(isQid(X)) -> a__isQid#(X) mark#(U72(X)) -> mark#(X) -> mark#(U81(X)) -> a__U81#(mark(X)) mark#(U72(X)) -> mark#(X) -> mark#(U81(X)) -> mark#(X) mark#(U72(X)) -> mark#(X) -> mark#(isPal(X)) -> a__isPal#(X) mark#(U72(X)) -> mark#(X) -> mark#(U72(X)) -> a__U72#(mark(X)) mark#(U72(X)) -> mark#(X) -> mark#(U72(X)) -> mark#(X) mark#(U72(X)) -> mark#(X) -> mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) mark#(U72(X)) -> mark#(X) -> mark#(U71(X1,X2)) -> mark#(X1) mark#(U72(X)) -> mark#(X) -> mark#(U61(X)) -> a__U61#(mark(X)) mark#(U72(X)) -> mark#(X) -> mark#(U61(X)) -> mark#(X) mark#(U72(X)) -> mark#(X) -> mark#(U52(X)) -> a__U52#(mark(X)) mark#(U72(X)) -> mark#(X) -> mark#(U52(X)) -> mark#(X) mark#(U72(X)) -> mark#(X) -> mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) mark#(U72(X)) -> mark#(X) -> mark#(U51(X1,X2)) -> mark#(X1) mark#(U72(X)) -> mark#(X) -> mark#(isNeList(X)) -> a__isNeList#(X) mark#(U72(X)) -> mark#(X) -> mark#(U42(X)) -> a__U42#(mark(X)) mark#(U72(X)) -> mark#(X) -> mark#(U42(X)) -> mark#(X) mark#(U72(X)) -> mark#(X) -> mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) mark#(U72(X)) -> mark#(X) -> mark#(U41(X1,X2)) -> mark#(X1) mark#(U72(X)) -> mark#(X) -> mark#(U31(X)) -> a__U31#(mark(X)) mark#(U72(X)) -> mark#(X) -> mark#(U31(X)) -> mark#(X) mark#(U72(X)) -> mark#(X) -> mark#(isList(X)) -> a__isList#(X) mark#(U72(X)) -> mark#(X) -> mark#(U22(X)) -> a__U22#(mark(X)) mark#(U72(X)) -> mark#(X) -> mark#(U22(X)) -> mark#(X) mark#(U72(X)) -> mark#(X) -> mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) mark#(U72(X)) -> mark#(X) -> mark#(U21(X1,X2)) -> mark#(X1) mark#(U72(X)) -> mark#(X) -> mark#(U11(X)) -> a__U11#(mark(X)) mark#(U72(X)) -> mark#(X) -> mark#(U11(X)) -> mark#(X) mark#(U72(X)) -> mark#(X) -> mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) mark#(U72(X)) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X1) mark#(U72(X)) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X2) mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) -> a__U71#(tt(),P) -> a__U72#(a__isPal(P)) mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) -> a__U71#(tt(),P) -> a__isPal#(P) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(isNePal(X)) -> a__isNePal#(X) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(isQid(X)) -> a__isQid#(X) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U81(X)) -> a__U81#(mark(X)) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U81(X)) -> mark#(X) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(isPal(X)) -> a__isPal#(X) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U72(X)) -> a__U72#(mark(X)) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U72(X)) -> mark#(X) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U71(X1,X2)) -> mark#(X1) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U61(X)) -> a__U61#(mark(X)) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U61(X)) -> mark#(X) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U52(X)) -> a__U52#(mark(X)) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U52(X)) -> mark#(X) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U51(X1,X2)) -> mark#(X1) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(isNeList(X)) -> a__isNeList#(X) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U42(X)) -> a__U42#(mark(X)) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U42(X)) -> mark#(X) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U41(X1,X2)) -> mark#(X1) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U31(X)) -> a__U31#(mark(X)) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U31(X)) -> mark#(X) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(isList(X)) -> a__isList#(X) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U22(X)) -> a__U22#(mark(X)) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U22(X)) -> mark#(X) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U21(X1,X2)) -> mark#(X1) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U11(X)) -> a__U11#(mark(X)) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(U11(X)) -> mark#(X) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(__(X1,X2)) -> mark#(X1) mark#(U71(X1,X2)) -> mark#(X1) -> mark#(__(X1,X2)) -> mark#(X2) mark#(U61(X)) -> mark#(X) -> mark#(isNePal(X)) -> a__isNePal#(X) mark#(U61(X)) -> mark#(X) -> mark#(isQid(X)) -> a__isQid#(X) mark#(U61(X)) -> mark#(X) -> mark#(U81(X)) -> a__U81#(mark(X)) mark#(U61(X)) -> mark#(X) -> mark#(U81(X)) -> mark#(X) mark#(U61(X)) -> mark#(X) -> mark#(isPal(X)) -> a__isPal#(X) mark#(U61(X)) -> mark#(X) -> mark#(U72(X)) -> a__U72#(mark(X)) mark#(U61(X)) -> mark#(X) -> mark#(U72(X)) -> mark#(X) mark#(U61(X)) -> mark#(X) -> mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) mark#(U61(X)) -> mark#(X) -> mark#(U71(X1,X2)) -> mark#(X1) mark#(U61(X)) -> mark#(X) -> mark#(U61(X)) -> a__U61#(mark(X)) mark#(U61(X)) -> mark#(X) -> mark#(U61(X)) -> mark#(X) mark#(U61(X)) -> mark#(X) -> mark#(U52(X)) -> a__U52#(mark(X)) mark#(U61(X)) -> mark#(X) -> mark#(U52(X)) -> mark#(X) mark#(U61(X)) -> mark#(X) -> mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) mark#(U61(X)) -> mark#(X) -> mark#(U51(X1,X2)) -> mark#(X1) mark#(U61(X)) -> mark#(X) -> mark#(isNeList(X)) -> a__isNeList#(X) mark#(U61(X)) -> mark#(X) -> mark#(U42(X)) -> a__U42#(mark(X)) mark#(U61(X)) -> mark#(X) -> mark#(U42(X)) -> mark#(X) mark#(U61(X)) -> mark#(X) -> mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) mark#(U61(X)) -> mark#(X) -> mark#(U41(X1,X2)) -> mark#(X1) mark#(U61(X)) -> mark#(X) -> mark#(U31(X)) -> a__U31#(mark(X)) mark#(U61(X)) -> mark#(X) -> mark#(U31(X)) -> mark#(X) mark#(U61(X)) -> mark#(X) -> mark#(isList(X)) -> a__isList#(X) mark#(U61(X)) -> mark#(X) -> mark#(U22(X)) -> a__U22#(mark(X)) mark#(U61(X)) -> mark#(X) -> mark#(U22(X)) -> mark#(X) mark#(U61(X)) -> mark#(X) -> mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) mark#(U61(X)) -> mark#(X) -> mark#(U21(X1,X2)) -> mark#(X1) mark#(U61(X)) -> mark#(X) -> mark#(U11(X)) -> a__U11#(mark(X)) mark#(U61(X)) -> mark#(X) -> mark#(U11(X)) -> mark#(X) mark#(U61(X)) -> mark#(X) -> mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) mark#(U61(X)) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X1) mark#(U61(X)) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X2) mark#(U52(X)) -> mark#(X) -> mark#(isNePal(X)) -> a__isNePal#(X) mark#(U52(X)) -> mark#(X) -> mark#(isQid(X)) -> a__isQid#(X) mark#(U52(X)) -> mark#(X) -> mark#(U81(X)) -> a__U81#(mark(X)) mark#(U52(X)) -> mark#(X) -> mark#(U81(X)) -> mark#(X) mark#(U52(X)) -> mark#(X) -> mark#(isPal(X)) -> a__isPal#(X) mark#(U52(X)) -> mark#(X) -> mark#(U72(X)) -> a__U72#(mark(X)) mark#(U52(X)) -> mark#(X) -> mark#(U72(X)) -> mark#(X) mark#(U52(X)) -> mark#(X) -> mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) mark#(U52(X)) -> mark#(X) -> mark#(U71(X1,X2)) -> mark#(X1) mark#(U52(X)) -> mark#(X) -> mark#(U61(X)) -> a__U61#(mark(X)) mark#(U52(X)) -> mark#(X) -> mark#(U61(X)) -> mark#(X) mark#(U52(X)) -> mark#(X) -> mark#(U52(X)) -> a__U52#(mark(X)) mark#(U52(X)) -> mark#(X) -> mark#(U52(X)) -> mark#(X) mark#(U52(X)) -> mark#(X) -> mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) mark#(U52(X)) -> mark#(X) -> mark#(U51(X1,X2)) -> mark#(X1) mark#(U52(X)) -> mark#(X) -> mark#(isNeList(X)) -> a__isNeList#(X) mark#(U52(X)) -> mark#(X) -> mark#(U42(X)) -> a__U42#(mark(X)) mark#(U52(X)) -> mark#(X) -> mark#(U42(X)) -> mark#(X) mark#(U52(X)) -> mark#(X) -> mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) mark#(U52(X)) -> mark#(X) -> mark#(U41(X1,X2)) -> mark#(X1) mark#(U52(X)) -> mark#(X) -> mark#(U31(X)) -> a__U31#(mark(X)) mark#(U52(X)) -> mark#(X) -> mark#(U31(X)) -> mark#(X) mark#(U52(X)) -> mark#(X) -> mark#(isList(X)) -> a__isList#(X) mark#(U52(X)) -> mark#(X) -> mark#(U22(X)) -> a__U22#(mark(X)) mark#(U52(X)) -> mark#(X) -> mark#(U22(X)) -> mark#(X) mark#(U52(X)) -> mark#(X) -> mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) mark#(U52(X)) -> mark#(X) -> mark#(U21(X1,X2)) -> mark#(X1) mark#(U52(X)) -> mark#(X) -> mark#(U11(X)) -> a__U11#(mark(X)) mark#(U52(X)) -> mark#(X) -> mark#(U11(X)) -> mark#(X) mark#(U52(X)) -> mark#(X) -> mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) mark#(U52(X)) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X1) mark#(U52(X)) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X2) mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) -> a__U51#(tt(),V2) -> a__U52#(a__isList(V2)) mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) -> a__U51#(tt(),V2) -> a__isList#(V2) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(isNePal(X)) -> a__isNePal#(X) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(isQid(X)) -> a__isQid#(X) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U81(X)) -> a__U81#(mark(X)) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U81(X)) -> mark#(X) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(isPal(X)) -> a__isPal#(X) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U72(X)) -> a__U72#(mark(X)) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U72(X)) -> mark#(X) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U71(X1,X2)) -> mark#(X1) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U61(X)) -> a__U61#(mark(X)) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U61(X)) -> mark#(X) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U52(X)) -> a__U52#(mark(X)) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U52(X)) -> mark#(X) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U51(X1,X2)) -> mark#(X1) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(isNeList(X)) -> a__isNeList#(X) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U42(X)) -> a__U42#(mark(X)) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U42(X)) -> mark#(X) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U41(X1,X2)) -> mark#(X1) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U31(X)) -> a__U31#(mark(X)) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U31(X)) -> mark#(X) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(isList(X)) -> a__isList#(X) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U22(X)) -> a__U22#(mark(X)) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U22(X)) -> mark#(X) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U21(X1,X2)) -> mark#(X1) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U11(X)) -> a__U11#(mark(X)) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(U11(X)) -> mark#(X) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(__(X1,X2)) -> mark#(X1) mark#(U51(X1,X2)) -> mark#(X1) -> mark#(__(X1,X2)) -> mark#(X2) mark#(isNeList(X)) -> a__isNeList#(X) -> a__isNeList#(__(V1,V2)) -> a__U51#(a__isNeList(V1),V2) mark#(isNeList(X)) -> a__isNeList#(X) -> a__isNeList#(__(V1,V2)) -> a__isNeList#(V1) mark#(isNeList(X)) -> a__isNeList#(X) -> a__isNeList#(__(V1,V2)) -> a__U41#(a__isList(V1),V2) mark#(isNeList(X)) -> a__isNeList#(X) -> a__isNeList#(__(V1,V2)) -> a__isList#(V1) mark#(isNeList(X)) -> a__isNeList#(X) -> a__isNeList#(V) -> a__U31#(a__isQid(V)) mark#(isNeList(X)) -> a__isNeList#(X) -> a__isNeList#(V) -> a__isQid#(V) mark#(U42(X)) -> mark#(X) -> mark#(isNePal(X)) -> a__isNePal#(X) mark#(U42(X)) -> mark#(X) -> mark#(isQid(X)) -> a__isQid#(X) mark#(U42(X)) -> mark#(X) -> mark#(U81(X)) -> a__U81#(mark(X)) mark#(U42(X)) -> mark#(X) -> mark#(U81(X)) -> mark#(X) mark#(U42(X)) -> mark#(X) -> mark#(isPal(X)) -> a__isPal#(X) mark#(U42(X)) -> mark#(X) -> mark#(U72(X)) -> a__U72#(mark(X)) mark#(U42(X)) -> mark#(X) -> mark#(U72(X)) -> mark#(X) mark#(U42(X)) -> mark#(X) -> mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) mark#(U42(X)) -> mark#(X) -> mark#(U71(X1,X2)) -> mark#(X1) mark#(U42(X)) -> mark#(X) -> mark#(U61(X)) -> a__U61#(mark(X)) mark#(U42(X)) -> mark#(X) -> mark#(U61(X)) -> mark#(X) mark#(U42(X)) -> mark#(X) -> mark#(U52(X)) -> a__U52#(mark(X)) mark#(U42(X)) -> mark#(X) -> mark#(U52(X)) -> mark#(X) mark#(U42(X)) -> mark#(X) -> mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) mark#(U42(X)) -> mark#(X) -> mark#(U51(X1,X2)) -> mark#(X1) mark#(U42(X)) -> mark#(X) -> mark#(isNeList(X)) -> a__isNeList#(X) mark#(U42(X)) -> mark#(X) -> mark#(U42(X)) -> a__U42#(mark(X)) mark#(U42(X)) -> mark#(X) -> mark#(U42(X)) -> mark#(X) mark#(U42(X)) -> mark#(X) -> mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) mark#(U42(X)) -> mark#(X) -> mark#(U41(X1,X2)) -> mark#(X1) mark#(U42(X)) -> mark#(X) -> mark#(U31(X)) -> a__U31#(mark(X)) mark#(U42(X)) -> mark#(X) -> mark#(U31(X)) -> mark#(X) mark#(U42(X)) -> mark#(X) -> mark#(isList(X)) -> a__isList#(X) mark#(U42(X)) -> mark#(X) -> mark#(U22(X)) -> a__U22#(mark(X)) mark#(U42(X)) -> mark#(X) -> mark#(U22(X)) -> mark#(X) mark#(U42(X)) -> mark#(X) -> mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) mark#(U42(X)) -> mark#(X) -> mark#(U21(X1,X2)) -> mark#(X1) mark#(U42(X)) -> mark#(X) -> mark#(U11(X)) -> a__U11#(mark(X)) mark#(U42(X)) -> mark#(X) -> mark#(U11(X)) -> mark#(X) mark#(U42(X)) -> mark#(X) -> mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) mark#(U42(X)) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X1) mark#(U42(X)) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X2) mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) -> a__U41#(tt(),V2) -> a__U42#(a__isNeList(V2)) mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) -> a__U41#(tt(),V2) -> a__isNeList#(V2) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(isNePal(X)) -> a__isNePal#(X) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(isQid(X)) -> a__isQid#(X) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U81(X)) -> a__U81#(mark(X)) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U81(X)) -> mark#(X) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(isPal(X)) -> a__isPal#(X) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U72(X)) -> a__U72#(mark(X)) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U72(X)) -> mark#(X) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U71(X1,X2)) -> mark#(X1) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U61(X)) -> a__U61#(mark(X)) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U61(X)) -> mark#(X) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U52(X)) -> a__U52#(mark(X)) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U52(X)) -> mark#(X) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U51(X1,X2)) -> mark#(X1) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(isNeList(X)) -> a__isNeList#(X) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U42(X)) -> a__U42#(mark(X)) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U42(X)) -> mark#(X) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U41(X1,X2)) -> mark#(X1) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U31(X)) -> a__U31#(mark(X)) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U31(X)) -> mark#(X) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(isList(X)) -> a__isList#(X) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U22(X)) -> a__U22#(mark(X)) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U22(X)) -> mark#(X) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U21(X1,X2)) -> mark#(X1) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U11(X)) -> a__U11#(mark(X)) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(U11(X)) -> mark#(X) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(__(X1,X2)) -> mark#(X1) mark#(U41(X1,X2)) -> mark#(X1) -> mark#(__(X1,X2)) -> mark#(X2) mark#(U31(X)) -> mark#(X) -> mark#(isNePal(X)) -> a__isNePal#(X) mark#(U31(X)) -> mark#(X) -> mark#(isQid(X)) -> a__isQid#(X) mark#(U31(X)) -> mark#(X) -> mark#(U81(X)) -> a__U81#(mark(X)) mark#(U31(X)) -> mark#(X) -> mark#(U81(X)) -> mark#(X) mark#(U31(X)) -> mark#(X) -> mark#(isPal(X)) -> a__isPal#(X) mark#(U31(X)) -> mark#(X) -> mark#(U72(X)) -> a__U72#(mark(X)) mark#(U31(X)) -> mark#(X) -> mark#(U72(X)) -> mark#(X) mark#(U31(X)) -> mark#(X) -> mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) mark#(U31(X)) -> mark#(X) -> mark#(U71(X1,X2)) -> mark#(X1) mark#(U31(X)) -> mark#(X) -> mark#(U61(X)) -> a__U61#(mark(X)) mark#(U31(X)) -> mark#(X) -> mark#(U61(X)) -> mark#(X) mark#(U31(X)) -> mark#(X) -> mark#(U52(X)) -> a__U52#(mark(X)) mark#(U31(X)) -> mark#(X) -> mark#(U52(X)) -> mark#(X) mark#(U31(X)) -> mark#(X) -> mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) mark#(U31(X)) -> mark#(X) -> mark#(U51(X1,X2)) -> mark#(X1) mark#(U31(X)) -> mark#(X) -> mark#(isNeList(X)) -> a__isNeList#(X) mark#(U31(X)) -> mark#(X) -> mark#(U42(X)) -> a__U42#(mark(X)) mark#(U31(X)) -> mark#(X) -> mark#(U42(X)) -> mark#(X) mark#(U31(X)) -> mark#(X) -> mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) mark#(U31(X)) -> mark#(X) -> mark#(U41(X1,X2)) -> mark#(X1) mark#(U31(X)) -> mark#(X) -> mark#(U31(X)) -> a__U31#(mark(X)) mark#(U31(X)) -> mark#(X) -> mark#(U31(X)) -> mark#(X) mark#(U31(X)) -> mark#(X) -> mark#(isList(X)) -> a__isList#(X) mark#(U31(X)) -> mark#(X) -> mark#(U22(X)) -> a__U22#(mark(X)) mark#(U31(X)) -> mark#(X) -> mark#(U22(X)) -> mark#(X) mark#(U31(X)) -> mark#(X) -> mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) mark#(U31(X)) -> mark#(X) -> mark#(U21(X1,X2)) -> mark#(X1) mark#(U31(X)) -> mark#(X) -> mark#(U11(X)) -> a__U11#(mark(X)) mark#(U31(X)) -> mark#(X) -> mark#(U11(X)) -> mark#(X) mark#(U31(X)) -> mark#(X) -> mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) mark#(U31(X)) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X1) mark#(U31(X)) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X2) mark#(isList(X)) -> a__isList#(X) -> a__isList#(__(V1,V2)) -> a__U21#(a__isList(V1),V2) mark#(isList(X)) -> a__isList#(X) -> a__isList#(__(V1,V2)) -> a__isList#(V1) mark#(isList(X)) -> a__isList#(X) -> a__isList#(V) -> a__U11#(a__isNeList(V)) mark#(isList(X)) -> a__isList#(X) -> a__isList#(V) -> a__isNeList#(V) mark#(U22(X)) -> mark#(X) -> mark#(isNePal(X)) -> a__isNePal#(X) mark#(U22(X)) -> mark#(X) -> mark#(isQid(X)) -> a__isQid#(X) mark#(U22(X)) -> mark#(X) -> mark#(U81(X)) -> a__U81#(mark(X)) mark#(U22(X)) -> mark#(X) -> mark#(U81(X)) -> mark#(X) mark#(U22(X)) -> mark#(X) -> mark#(isPal(X)) -> a__isPal#(X) mark#(U22(X)) -> mark#(X) -> mark#(U72(X)) -> a__U72#(mark(X)) mark#(U22(X)) -> mark#(X) -> mark#(U72(X)) -> mark#(X) mark#(U22(X)) -> mark#(X) -> mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) mark#(U22(X)) -> mark#(X) -> mark#(U71(X1,X2)) -> mark#(X1) mark#(U22(X)) -> mark#(X) -> mark#(U61(X)) -> a__U61#(mark(X)) mark#(U22(X)) -> mark#(X) -> mark#(U61(X)) -> mark#(X) mark#(U22(X)) -> mark#(X) -> mark#(U52(X)) -> a__U52#(mark(X)) mark#(U22(X)) -> mark#(X) -> mark#(U52(X)) -> mark#(X) mark#(U22(X)) -> mark#(X) -> mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) mark#(U22(X)) -> mark#(X) -> mark#(U51(X1,X2)) -> mark#(X1) mark#(U22(X)) -> mark#(X) -> mark#(isNeList(X)) -> a__isNeList#(X) mark#(U22(X)) -> mark#(X) -> mark#(U42(X)) -> a__U42#(mark(X)) mark#(U22(X)) -> mark#(X) -> mark#(U42(X)) -> mark#(X) mark#(U22(X)) -> mark#(X) -> mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) mark#(U22(X)) -> mark#(X) -> mark#(U41(X1,X2)) -> mark#(X1) mark#(U22(X)) -> mark#(X) -> mark#(U31(X)) -> a__U31#(mark(X)) mark#(U22(X)) -> mark#(X) -> mark#(U31(X)) -> mark#(X) mark#(U22(X)) -> mark#(X) -> mark#(isList(X)) -> a__isList#(X) mark#(U22(X)) -> mark#(X) -> mark#(U22(X)) -> a__U22#(mark(X)) mark#(U22(X)) -> mark#(X) -> mark#(U22(X)) -> mark#(X) mark#(U22(X)) -> mark#(X) -> mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) mark#(U22(X)) -> mark#(X) -> mark#(U21(X1,X2)) -> mark#(X1) mark#(U22(X)) -> mark#(X) -> mark#(U11(X)) -> a__U11#(mark(X)) mark#(U22(X)) -> mark#(X) -> mark#(U11(X)) -> mark#(X) mark#(U22(X)) -> mark#(X) -> mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) mark#(U22(X)) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X1) mark#(U22(X)) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X2) mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) -> a__U21#(tt(),V2) -> a__U22#(a__isList(V2)) mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) -> a__U21#(tt(),V2) -> a__isList#(V2) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(isNePal(X)) -> a__isNePal#(X) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(isQid(X)) -> a__isQid#(X) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U81(X)) -> a__U81#(mark(X)) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U81(X)) -> mark#(X) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(isPal(X)) -> a__isPal#(X) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U72(X)) -> a__U72#(mark(X)) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U72(X)) -> mark#(X) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U71(X1,X2)) -> mark#(X1) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U61(X)) -> a__U61#(mark(X)) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U61(X)) -> mark#(X) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U52(X)) -> a__U52#(mark(X)) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U52(X)) -> mark#(X) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U51(X1,X2)) -> mark#(X1) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(isNeList(X)) -> a__isNeList#(X) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U42(X)) -> a__U42#(mark(X)) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U42(X)) -> mark#(X) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U41(X1,X2)) -> mark#(X1) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U31(X)) -> a__U31#(mark(X)) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U31(X)) -> mark#(X) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(isList(X)) -> a__isList#(X) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U22(X)) -> a__U22#(mark(X)) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U22(X)) -> mark#(X) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U21(X1,X2)) -> mark#(X1) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U11(X)) -> a__U11#(mark(X)) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(U11(X)) -> mark#(X) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(__(X1,X2)) -> mark#(X1) mark#(U21(X1,X2)) -> mark#(X1) -> mark#(__(X1,X2)) -> mark#(X2) mark#(U11(X)) -> mark#(X) -> mark#(isNePal(X)) -> a__isNePal#(X) mark#(U11(X)) -> mark#(X) -> mark#(isQid(X)) -> a__isQid#(X) mark#(U11(X)) -> mark#(X) -> mark#(U81(X)) -> a__U81#(mark(X)) mark#(U11(X)) -> mark#(X) -> mark#(U81(X)) -> mark#(X) mark#(U11(X)) -> mark#(X) -> mark#(isPal(X)) -> a__isPal#(X) mark#(U11(X)) -> mark#(X) -> mark#(U72(X)) -> a__U72#(mark(X)) mark#(U11(X)) -> mark#(X) -> mark#(U72(X)) -> mark#(X) mark#(U11(X)) -> mark#(X) -> mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) mark#(U11(X)) -> mark#(X) -> mark#(U71(X1,X2)) -> mark#(X1) mark#(U11(X)) -> mark#(X) -> mark#(U61(X)) -> a__U61#(mark(X)) mark#(U11(X)) -> mark#(X) -> mark#(U61(X)) -> mark#(X) mark#(U11(X)) -> mark#(X) -> mark#(U52(X)) -> a__U52#(mark(X)) mark#(U11(X)) -> mark#(X) -> mark#(U52(X)) -> mark#(X) mark#(U11(X)) -> mark#(X) -> mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) mark#(U11(X)) -> mark#(X) -> mark#(U51(X1,X2)) -> mark#(X1) mark#(U11(X)) -> mark#(X) -> mark#(isNeList(X)) -> a__isNeList#(X) mark#(U11(X)) -> mark#(X) -> mark#(U42(X)) -> a__U42#(mark(X)) mark#(U11(X)) -> mark#(X) -> mark#(U42(X)) -> mark#(X) mark#(U11(X)) -> mark#(X) -> mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) mark#(U11(X)) -> mark#(X) -> mark#(U41(X1,X2)) -> mark#(X1) mark#(U11(X)) -> mark#(X) -> mark#(U31(X)) -> a__U31#(mark(X)) mark#(U11(X)) -> mark#(X) -> mark#(U31(X)) -> mark#(X) mark#(U11(X)) -> mark#(X) -> mark#(isList(X)) -> a__isList#(X) mark#(U11(X)) -> mark#(X) -> mark#(U22(X)) -> a__U22#(mark(X)) mark#(U11(X)) -> mark#(X) -> mark#(U22(X)) -> mark#(X) mark#(U11(X)) -> mark#(X) -> mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) mark#(U11(X)) -> mark#(X) -> mark#(U21(X1,X2)) -> mark#(X1) mark#(U11(X)) -> mark#(X) -> mark#(U11(X)) -> a__U11#(mark(X)) mark#(U11(X)) -> mark#(X) -> mark#(U11(X)) -> mark#(X) mark#(U11(X)) -> mark#(X) -> mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) mark#(U11(X)) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X1) mark#(U11(X)) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X2) mark#(__(X1,X2)) -> mark#(X2) -> mark#(isNePal(X)) -> a__isNePal#(X) mark#(__(X1,X2)) -> mark#(X2) -> mark#(isQid(X)) -> a__isQid#(X) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U81(X)) -> a__U81#(mark(X)) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U81(X)) -> mark#(X) mark#(__(X1,X2)) -> mark#(X2) -> mark#(isPal(X)) -> a__isPal#(X) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U72(X)) -> a__U72#(mark(X)) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U72(X)) -> mark#(X) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U71(X1,X2)) -> mark#(X1) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U61(X)) -> a__U61#(mark(X)) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U61(X)) -> mark#(X) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U52(X)) -> a__U52#(mark(X)) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U52(X)) -> mark#(X) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U51(X1,X2)) -> mark#(X1) mark#(__(X1,X2)) -> mark#(X2) -> mark#(isNeList(X)) -> a__isNeList#(X) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U42(X)) -> a__U42#(mark(X)) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U42(X)) -> mark#(X) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U41(X1,X2)) -> mark#(X1) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U31(X)) -> a__U31#(mark(X)) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U31(X)) -> mark#(X) mark#(__(X1,X2)) -> mark#(X2) -> mark#(isList(X)) -> a__isList#(X) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U22(X)) -> a__U22#(mark(X)) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U22(X)) -> mark#(X) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U21(X1,X2)) -> mark#(X1) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U11(X)) -> a__U11#(mark(X)) mark#(__(X1,X2)) -> mark#(X2) -> mark#(U11(X)) -> mark#(X) mark#(__(X1,X2)) -> mark#(X2) -> mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) mark#(__(X1,X2)) -> mark#(X2) -> mark#(__(X1,X2)) -> mark#(X1) mark#(__(X1,X2)) -> mark#(X2) -> mark#(__(X1,X2)) -> mark#(X2) mark#(__(X1,X2)) -> mark#(X1) -> mark#(isNePal(X)) -> a__isNePal#(X) mark#(__(X1,X2)) -> mark#(X1) -> mark#(isQid(X)) -> a__isQid#(X) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U81(X)) -> a__U81#(mark(X)) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U81(X)) -> mark#(X) mark#(__(X1,X2)) -> mark#(X1) -> mark#(isPal(X)) -> a__isPal#(X) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U72(X)) -> a__U72#(mark(X)) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U72(X)) -> mark#(X) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U71(X1,X2)) -> mark#(X1) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U61(X)) -> a__U61#(mark(X)) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U61(X)) -> mark#(X) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U52(X)) -> a__U52#(mark(X)) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U52(X)) -> mark#(X) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U51(X1,X2)) -> mark#(X1) mark#(__(X1,X2)) -> mark#(X1) -> mark#(isNeList(X)) -> a__isNeList#(X) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U42(X)) -> a__U42#(mark(X)) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U42(X)) -> mark#(X) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U41(X1,X2)) -> mark#(X1) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U31(X)) -> a__U31#(mark(X)) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U31(X)) -> mark#(X) mark#(__(X1,X2)) -> mark#(X1) -> mark#(isList(X)) -> a__isList#(X) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U22(X)) -> a__U22#(mark(X)) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U22(X)) -> mark#(X) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U21(X1,X2)) -> mark#(X1) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U11(X)) -> a__U11#(mark(X)) mark#(__(X1,X2)) -> mark#(X1) -> mark#(U11(X)) -> mark#(X) mark#(__(X1,X2)) -> mark#(X1) -> mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) mark#(__(X1,X2)) -> mark#(X1) -> mark#(__(X1,X2)) -> mark#(X1) mark#(__(X1,X2)) -> mark#(X1) -> mark#(__(X1,X2)) -> mark#(X2) mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) -> a____#(nil(),X) -> mark#(X) mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) -> a____#(X,nil()) -> mark#(X) mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) -> a____#(__(X,Y),Z) -> a____#(mark(X),a____(mark(Y),mark(Z))) mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) -> a____#(__(X,Y),Z) -> mark#(X) mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) -> a____#(__(X,Y),Z) -> a____#(mark(Y),mark(Z)) mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) -> a____#(__(X,Y),Z) -> mark#(Y) mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) -> a____#(__(X,Y),Z) -> mark#(Z) a____#(nil(),X) -> mark#(X) -> mark#(isNePal(X)) -> a__isNePal#(X) a____#(nil(),X) -> mark#(X) -> mark#(isQid(X)) -> a__isQid#(X) a____#(nil(),X) -> mark#(X) -> mark#(U81(X)) -> a__U81#(mark(X)) a____#(nil(),X) -> mark#(X) -> mark#(U81(X)) -> mark#(X) a____#(nil(),X) -> mark#(X) -> mark#(isPal(X)) -> a__isPal#(X) a____#(nil(),X) -> mark#(X) -> mark#(U72(X)) -> a__U72#(mark(X)) a____#(nil(),X) -> mark#(X) -> mark#(U72(X)) -> mark#(X) a____#(nil(),X) -> mark#(X) -> mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) a____#(nil(),X) -> mark#(X) -> mark#(U71(X1,X2)) -> mark#(X1) a____#(nil(),X) -> mark#(X) -> mark#(U61(X)) -> a__U61#(mark(X)) a____#(nil(),X) -> mark#(X) -> mark#(U61(X)) -> mark#(X) a____#(nil(),X) -> mark#(X) -> mark#(U52(X)) -> a__U52#(mark(X)) a____#(nil(),X) -> mark#(X) -> mark#(U52(X)) -> mark#(X) a____#(nil(),X) -> mark#(X) -> mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) a____#(nil(),X) -> mark#(X) -> mark#(U51(X1,X2)) -> mark#(X1) a____#(nil(),X) -> mark#(X) -> mark#(isNeList(X)) -> a__isNeList#(X) a____#(nil(),X) -> mark#(X) -> mark#(U42(X)) -> a__U42#(mark(X)) a____#(nil(),X) -> mark#(X) -> mark#(U42(X)) -> mark#(X) a____#(nil(),X) -> mark#(X) -> mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) a____#(nil(),X) -> mark#(X) -> mark#(U41(X1,X2)) -> mark#(X1) a____#(nil(),X) -> mark#(X) -> mark#(U31(X)) -> a__U31#(mark(X)) a____#(nil(),X) -> mark#(X) -> mark#(U31(X)) -> mark#(X) a____#(nil(),X) -> mark#(X) -> mark#(isList(X)) -> a__isList#(X) a____#(nil(),X) -> mark#(X) -> mark#(U22(X)) -> a__U22#(mark(X)) a____#(nil(),X) -> mark#(X) -> mark#(U22(X)) -> mark#(X) a____#(nil(),X) -> mark#(X) -> mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) a____#(nil(),X) -> mark#(X) -> mark#(U21(X1,X2)) -> mark#(X1) a____#(nil(),X) -> mark#(X) -> mark#(U11(X)) -> a__U11#(mark(X)) a____#(nil(),X) -> mark#(X) -> mark#(U11(X)) -> mark#(X) a____#(nil(),X) -> mark#(X) -> mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) a____#(nil(),X) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X1) a____#(nil(),X) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X2) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(isNePal(X)) -> a__isNePal#(X) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(isQid(X)) -> a__isQid#(X) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U81(X)) -> a__U81#(mark(X)) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U81(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(isPal(X)) -> a__isPal#(X) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U72(X)) -> a__U72#(mark(X)) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U72(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U71(X1,X2)) -> mark#(X1) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U61(X)) -> a__U61#(mark(X)) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U61(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U52(X)) -> a__U52#(mark(X)) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U52(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U51(X1,X2)) -> mark#(X1) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(isNeList(X)) -> a__isNeList#(X) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U42(X)) -> a__U42#(mark(X)) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U42(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U41(X1,X2)) -> mark#(X1) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U31(X)) -> a__U31#(mark(X)) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U31(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(isList(X)) -> a__isList#(X) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U22(X)) -> a__U22#(mark(X)) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U22(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U21(X1,X2)) -> mark#(X1) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U11(X)) -> a__U11#(mark(X)) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(U11(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(__(X1,X2)) -> mark#(X1) a____#(__(X,Y),Z) -> mark#(Z) -> mark#(__(X1,X2)) -> mark#(X2) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(isNePal(X)) -> a__isNePal#(X) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(isQid(X)) -> a__isQid#(X) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U81(X)) -> a__U81#(mark(X)) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U81(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(isPal(X)) -> a__isPal#(X) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U72(X)) -> a__U72#(mark(X)) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U72(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U71(X1,X2)) -> mark#(X1) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U61(X)) -> a__U61#(mark(X)) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U61(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U52(X)) -> a__U52#(mark(X)) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U52(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U51(X1,X2)) -> mark#(X1) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(isNeList(X)) -> a__isNeList#(X) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U42(X)) -> a__U42#(mark(X)) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U42(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U41(X1,X2)) -> mark#(X1) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U31(X)) -> a__U31#(mark(X)) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U31(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(isList(X)) -> a__isList#(X) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U22(X)) -> a__U22#(mark(X)) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U22(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U21(X1,X2)) -> mark#(X1) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U11(X)) -> a__U11#(mark(X)) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(U11(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(__(X1,X2)) -> mark#(X1) a____#(__(X,Y),Z) -> mark#(Y) -> mark#(__(X1,X2)) -> mark#(X2) a____#(__(X,Y),Z) -> mark#(X) -> mark#(isNePal(X)) -> a__isNePal#(X) a____#(__(X,Y),Z) -> mark#(X) -> mark#(isQid(X)) -> a__isQid#(X) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U81(X)) -> a__U81#(mark(X)) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U81(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(X) -> mark#(isPal(X)) -> a__isPal#(X) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U72(X)) -> a__U72#(mark(X)) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U72(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U71(X1,X2)) -> mark#(X1) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U61(X)) -> a__U61#(mark(X)) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U61(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U52(X)) -> a__U52#(mark(X)) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U52(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U51(X1,X2)) -> mark#(X1) a____#(__(X,Y),Z) -> mark#(X) -> mark#(isNeList(X)) -> a__isNeList#(X) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U42(X)) -> a__U42#(mark(X)) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U42(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U41(X1,X2)) -> mark#(X1) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U31(X)) -> a__U31#(mark(X)) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U31(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(X) -> mark#(isList(X)) -> a__isList#(X) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U22(X)) -> a__U22#(mark(X)) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U22(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U21(X1,X2)) -> mark#(X1) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U11(X)) -> a__U11#(mark(X)) a____#(__(X,Y),Z) -> mark#(X) -> mark#(U11(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(X) -> mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) a____#(__(X,Y),Z) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X1) a____#(__(X,Y),Z) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X2) a____#(__(X,Y),Z) -> a____#(mark(Y),mark(Z)) -> a____#(nil(),X) -> mark#(X) a____#(__(X,Y),Z) -> a____#(mark(Y),mark(Z)) -> a____#(X,nil()) -> mark#(X) a____#(__(X,Y),Z) -> a____#(mark(Y),mark(Z)) -> a____#(__(X,Y),Z) -> a____#(mark(X),a____(mark(Y),mark(Z))) a____#(__(X,Y),Z) -> a____#(mark(Y),mark(Z)) -> a____#(__(X,Y),Z) -> mark#(X) a____#(__(X,Y),Z) -> a____#(mark(Y),mark(Z)) -> a____#(__(X,Y),Z) -> a____#(mark(Y),mark(Z)) a____#(__(X,Y),Z) -> a____#(mark(Y),mark(Z)) -> a____#(__(X,Y),Z) -> mark#(Y) a____#(__(X,Y),Z) -> a____#(mark(Y),mark(Z)) -> a____#(__(X,Y),Z) -> mark#(Z) a____#(__(X,Y),Z) -> a____#(mark(X),a____(mark(Y),mark(Z))) -> a____#(nil(),X) -> mark#(X) a____#(__(X,Y),Z) -> a____#(mark(X),a____(mark(Y),mark(Z))) -> a____#(X,nil()) -> mark#(X) a____#(__(X,Y),Z) -> a____#(mark(X),a____(mark(Y),mark(Z))) -> a____#(__(X,Y),Z) -> a____#(mark(X),a____(mark(Y),mark(Z))) a____#(__(X,Y),Z) -> a____#(mark(X),a____(mark(Y),mark(Z))) -> a____#(__(X,Y),Z) -> mark#(X) a____#(__(X,Y),Z) -> a____#(mark(X),a____(mark(Y),mark(Z))) -> a____#(__(X,Y),Z) -> a____#(mark(Y),mark(Z)) a____#(__(X,Y),Z) -> a____#(mark(X),a____(mark(Y),mark(Z))) -> a____#(__(X,Y),Z) -> mark#(Y) a____#(__(X,Y),Z) -> a____#(mark(X),a____(mark(Y),mark(Z))) -> a____#(__(X,Y),Z) -> mark#(Z) a____#(X,nil()) -> mark#(X) -> mark#(isNePal(X)) -> a__isNePal#(X) a____#(X,nil()) -> mark#(X) -> mark#(isQid(X)) -> a__isQid#(X) a____#(X,nil()) -> mark#(X) -> mark#(U81(X)) -> a__U81#(mark(X)) a____#(X,nil()) -> mark#(X) -> mark#(U81(X)) -> mark#(X) a____#(X,nil()) -> mark#(X) -> mark#(isPal(X)) -> a__isPal#(X) a____#(X,nil()) -> mark#(X) -> mark#(U72(X)) -> a__U72#(mark(X)) a____#(X,nil()) -> mark#(X) -> mark#(U72(X)) -> mark#(X) a____#(X,nil()) -> mark#(X) -> mark#(U71(X1,X2)) -> a__U71#(mark(X1),X2) a____#(X,nil()) -> mark#(X) -> mark#(U71(X1,X2)) -> mark#(X1) a____#(X,nil()) -> mark#(X) -> mark#(U61(X)) -> a__U61#(mark(X)) a____#(X,nil()) -> mark#(X) -> mark#(U61(X)) -> mark#(X) a____#(X,nil()) -> mark#(X) -> mark#(U52(X)) -> a__U52#(mark(X)) a____#(X,nil()) -> mark#(X) -> mark#(U52(X)) -> mark#(X) a____#(X,nil()) -> mark#(X) -> mark#(U51(X1,X2)) -> a__U51#(mark(X1),X2) a____#(X,nil()) -> mark#(X) -> mark#(U51(X1,X2)) -> mark#(X1) a____#(X,nil()) -> mark#(X) -> mark#(isNeList(X)) -> a__isNeList#(X) a____#(X,nil()) -> mark#(X) -> mark#(U42(X)) -> a__U42#(mark(X)) a____#(X,nil()) -> mark#(X) -> mark#(U42(X)) -> mark#(X) a____#(X,nil()) -> mark#(X) -> mark#(U41(X1,X2)) -> a__U41#(mark(X1),X2) a____#(X,nil()) -> mark#(X) -> mark#(U41(X1,X2)) -> mark#(X1) a____#(X,nil()) -> mark#(X) -> mark#(U31(X)) -> a__U31#(mark(X)) a____#(X,nil()) -> mark#(X) -> mark#(U31(X)) -> mark#(X) a____#(X,nil()) -> mark#(X) -> mark#(isList(X)) -> a__isList#(X) a____#(X,nil()) -> mark#(X) -> mark#(U22(X)) -> a__U22#(mark(X)) a____#(X,nil()) -> mark#(X) -> mark#(U22(X)) -> mark#(X) a____#(X,nil()) -> mark#(X) -> mark#(U21(X1,X2)) -> a__U21#(mark(X1),X2) a____#(X,nil()) -> mark#(X) -> mark#(U21(X1,X2)) -> mark#(X1) a____#(X,nil()) -> mark#(X) -> mark#(U11(X)) -> a__U11#(mark(X)) a____#(X,nil()) -> mark#(X) -> mark#(U11(X)) -> mark#(X) a____#(X,nil()) -> mark#(X) -> mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) a____#(X,nil()) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X1) a____#(X,nil()) -> mark#(X) -> mark#(__(X1,X2)) -> mark#(X2) SCC Processor: #sccs: 3 #rules: 35 #arcs: 701/3969 DPs: mark#(U81(X)) -> mark#(X) mark#(__(X1,X2)) -> mark#(X2) mark#(__(X1,X2)) -> mark#(X1) mark#(__(X1,X2)) -> a____#(mark(X1),mark(X2)) a____#(__(X,Y),Z) -> mark#(Z) mark#(U11(X)) -> mark#(X) mark#(U21(X1,X2)) -> mark#(X1) mark#(U22(X)) -> mark#(X) mark#(U31(X)) -> mark#(X) mark#(U41(X1,X2)) -> mark#(X1) mark#(U42(X)) -> mark#(X) mark#(U51(X1,X2)) -> mark#(X1) mark#(U52(X)) -> mark#(X) mark#(U61(X)) -> mark#(X) mark#(U71(X1,X2)) -> mark#(X1) mark#(U72(X)) -> mark#(X) a____#(__(X,Y),Z) -> mark#(Y) a____#(__(X,Y),Z) -> a____#(mark(Y),mark(Z)) a____#(__(X,Y),Z) -> mark#(X) a____#(__(X,Y),Z) -> a____#(mark(X),a____(mark(Y),mark(Z))) a____#(X,nil()) -> mark#(X) a____#(nil(),X) -> mark#(X) TRS: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> tt() a__U21(tt(),V2) -> a__U22(a__isList(V2)) a__U22(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNeList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isList(V2)) a__U52(tt()) -> tt() a__U61(tt()) -> tt() a__U71(tt(),P) -> a__U72(a__isPal(P)) a__U72(tt()) -> tt() a__U81(tt()) -> tt() a__isList(V) -> a__U11(a__isNeList(V)) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2) a__isNeList(V) -> a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2) a__isNePal(V) -> a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P) a__isPal(V) -> a__U81(a__isNePal(V)) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(isList(X)) -> a__isList(X) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2)) -> a__U71(mark(X1),X2) mark(U72(X)) -> a__U72(mark(X)) mark(isPal(X)) -> a__isPal(X) mark(U81(X)) -> a__U81(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U21(X1,X2) -> U21(X1,X2) a__U22(X) -> U22(X) a__isList(X) -> isList(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNeList(X) -> isNeList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X1,X2) -> U71(X1,X2) a__U72(X) -> U72(X) a__isPal(X) -> isPal(X) a__U81(X) -> U81(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) Matrix Interpretation Processor: dimension: 1 interpretation: [mark#](x0) = x0, [a____#](x0, x1) = x0 + x1, [isNePal](x0) = 0, [isQid](x0) = 0, [U81](x0) = x0, [isPal](x0) = 0, [U72](x0) = x0, [U71](x0, x1) = x0, [U61](x0) = x0, [U52](x0) = x0, [U51](x0, x1) = x0 + x1, [isNeList](x0) = x0, [U42](x0) = x0, [U41](x0, x1) = x0 + x1 + 1, [U31](x0) = x0, [isList](x0) = x0, [U22](x0) = x0, [U21](x0, x1) = x0 + x1, [U11](x0) = x0, [u] = 0, [o] = 0, [i] = 0, [e] = 0, [a] = 0, [a__isNePal](x0) = 0, [a__isQid](x0) = 0, [a__U81](x0) = x0, [a__U72](x0) = x0, [a__isPal](x0) = 0, [a__U71](x0, x1) = x0, [a__U61](x0) = x0, [a__U52](x0) = x0, [a__U51](x0, x1) = x0 + x1, [a__U42](x0) = x0, [a__isNeList](x0) = x0, [a__U41](x0, x1) = x0 + x1 + 1, [a__U31](x0) = x0, [a__U22](x0) = x0, [a__isList](x0) = x0, [a__U21](x0, x1) = x0 + x1, [a__U11](x0) = x0, [tt] = 0, [nil] = 0, [mark](x0) = x0, [a____](x0, x1) = x0 + x1 + 1, [__](x0, x1) = x0 + x1 + 1 orientation: mark#(U81(X)) = X >= X = mark#(X) mark#(__(X1,X2)) = X1 + X2 + 1 >= X2 = mark#(X2) mark#(__(X1,X2)) = X1 + X2 + 1 >= X1 = mark#(X1) mark#(__(X1,X2)) = X1 + X2 + 1 >= X1 + X2 = a____#(mark(X1),mark(X2)) a____#(__(X,Y),Z) = X + Y + Z + 1 >= Z = mark#(Z) mark#(U11(X)) = X >= X = mark#(X) mark#(U21(X1,X2)) = X1 + X2 >= X1 = mark#(X1) mark#(U22(X)) = X >= X = mark#(X) mark#(U31(X)) = X >= X = mark#(X) mark#(U41(X1,X2)) = X1 + X2 + 1 >= X1 = mark#(X1) mark#(U42(X)) = X >= X = mark#(X) mark#(U51(X1,X2)) = X1 + X2 >= X1 = mark#(X1) mark#(U52(X)) = X >= X = mark#(X) mark#(U61(X)) = X >= X = mark#(X) mark#(U71(X1,X2)) = X1 >= X1 = mark#(X1) mark#(U72(X)) = X >= X = mark#(X) a____#(__(X,Y),Z) = X + Y + Z + 1 >= Y = mark#(Y) a____#(__(X,Y),Z) = X + Y + Z + 1 >= Y + Z = a____#(mark(Y),mark(Z)) a____#(__(X,Y),Z) = X + Y + Z + 1 >= X = mark#(X) a____#(__(X,Y),Z) = X + Y + Z + 1 >= X + Y + Z + 1 = a____#(mark(X),a____(mark(Y),mark(Z))) a____#(X,nil()) = X >= X = mark#(X) a____#(nil(),X) = X >= X = mark#(X) a____(__(X,Y),Z) = X + Y + Z + 2 >= X + Y + Z + 2 = a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) = X + 1 >= X = mark(X) a____(nil(),X) = X + 1 >= X = mark(X) a__U11(tt()) = 0 >= 0 = tt() a__U21(tt(),V2) = V2 >= V2 = a__U22(a__isList(V2)) a__U22(tt()) = 0 >= 0 = tt() a__U31(tt()) = 0 >= 0 = tt() a__U41(tt(),V2) = V2 + 1 >= V2 = a__U42(a__isNeList(V2)) a__U42(tt()) = 0 >= 0 = tt() a__U51(tt(),V2) = V2 >= V2 = a__U52(a__isList(V2)) a__U52(tt()) = 0 >= 0 = tt() a__U61(tt()) = 0 >= 0 = tt() a__U71(tt(),P) = 0 >= 0 = a__U72(a__isPal(P)) a__U72(tt()) = 0 >= 0 = tt() a__U81(tt()) = 0 >= 0 = tt() a__isList(V) = V >= V = a__U11(a__isNeList(V)) a__isList(nil()) = 0 >= 0 = tt() a__isList(__(V1,V2)) = V1 + V2 + 1 >= V1 + V2 = a__U21(a__isList(V1),V2) a__isNeList(V) = V >= 0 = a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) = V1 + V2 + 1 >= V1 + V2 + 1 = a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) = V1 + V2 + 1 >= V1 + V2 = a__U51(a__isNeList(V1),V2) a__isNePal(V) = 0 >= 0 = a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) = 0 >= 0 = a__U71(a__isQid(I),P) a__isPal(V) = 0 >= 0 = a__U81(a__isNePal(V)) a__isPal(nil()) = 0 >= 0 = tt() a__isQid(a()) = 0 >= 0 = tt() a__isQid(e()) = 0 >= 0 = tt() a__isQid(i()) = 0 >= 0 = tt() a__isQid(o()) = 0 >= 0 = tt() a__isQid(u()) = 0 >= 0 = tt() mark(__(X1,X2)) = X1 + X2 + 1 >= X1 + X2 + 1 = a____(mark(X1),mark(X2)) mark(U11(X)) = X >= X = a__U11(mark(X)) mark(U21(X1,X2)) = X1 + X2 >= X1 + X2 = a__U21(mark(X1),X2) mark(U22(X)) = X >= X = a__U22(mark(X)) mark(isList(X)) = X >= X = a__isList(X) mark(U31(X)) = X >= X = a__U31(mark(X)) mark(U41(X1,X2)) = X1 + X2 + 1 >= X1 + X2 + 1 = a__U41(mark(X1),X2) mark(U42(X)) = X >= X = a__U42(mark(X)) mark(isNeList(X)) = X >= X = a__isNeList(X) mark(U51(X1,X2)) = X1 + X2 >= X1 + X2 = a__U51(mark(X1),X2) mark(U52(X)) = X >= X = a__U52(mark(X)) mark(U61(X)) = X >= X = a__U61(mark(X)) mark(U71(X1,X2)) = X1 >= X1 = a__U71(mark(X1),X2) mark(U72(X)) = X >= X = a__U72(mark(X)) mark(isPal(X)) = 0 >= 0 = a__isPal(X) mark(U81(X)) = X >= X = a__U81(mark(X)) mark(isQid(X)) = 0 >= 0 = a__isQid(X) mark(isNePal(X)) = 0 >= 0 = a__isNePal(X) mark(nil()) = 0 >= 0 = nil() mark(tt()) = 0 >= 0 = tt() mark(a()) = 0 >= 0 = a() mark(e()) = 0 >= 0 = e() mark(i()) = 0 >= 0 = i() mark(o()) = 0 >= 0 = o() mark(u()) = 0 >= 0 = u() a____(X1,X2) = X1 + X2 + 1 >= X1 + X2 + 1 = __(X1,X2) a__U11(X) = X >= X = U11(X) a__U21(X1,X2) = X1 + X2 >= X1 + X2 = U21(X1,X2) a__U22(X) = X >= X = U22(X) a__isList(X) = X >= X = isList(X) a__U31(X) = X >= X = U31(X) a__U41(X1,X2) = X1 + X2 + 1 >= X1 + X2 + 1 = U41(X1,X2) a__U42(X) = X >= X = U42(X) a__isNeList(X) = X >= X = isNeList(X) a__U51(X1,X2) = X1 + X2 >= X1 + X2 = U51(X1,X2) a__U52(X) = X >= X = U52(X) a__U61(X) = X >= X = U61(X) a__U71(X1,X2) = X1 >= X1 = U71(X1,X2) a__U72(X) = X >= X = U72(X) a__isPal(X) = 0 >= 0 = isPal(X) a__U81(X) = X >= X = U81(X) a__isQid(X) = 0 >= 0 = isQid(X) a__isNePal(X) = 0 >= 0 = isNePal(X) problem: DPs: mark#(U81(X)) -> mark#(X) mark#(U11(X)) -> mark#(X) mark#(U21(X1,X2)) -> mark#(X1) mark#(U22(X)) -> mark#(X) mark#(U31(X)) -> mark#(X) mark#(U42(X)) -> mark#(X) mark#(U51(X1,X2)) -> mark#(X1) mark#(U52(X)) -> mark#(X) mark#(U61(X)) -> mark#(X) mark#(U71(X1,X2)) -> mark#(X1) mark#(U72(X)) -> mark#(X) a____#(__(X,Y),Z) -> a____#(mark(X),a____(mark(Y),mark(Z))) a____#(X,nil()) -> mark#(X) a____#(nil(),X) -> mark#(X) TRS: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> tt() a__U21(tt(),V2) -> a__U22(a__isList(V2)) a__U22(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNeList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isList(V2)) a__U52(tt()) -> tt() a__U61(tt()) -> tt() a__U71(tt(),P) -> a__U72(a__isPal(P)) a__U72(tt()) -> tt() a__U81(tt()) -> tt() a__isList(V) -> a__U11(a__isNeList(V)) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2) a__isNeList(V) -> a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2) a__isNePal(V) -> a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P) a__isPal(V) -> a__U81(a__isNePal(V)) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(isList(X)) -> a__isList(X) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2)) -> a__U71(mark(X1),X2) mark(U72(X)) -> a__U72(mark(X)) mark(isPal(X)) -> a__isPal(X) mark(U81(X)) -> a__U81(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U21(X1,X2) -> U21(X1,X2) a__U22(X) -> U22(X) a__isList(X) -> isList(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNeList(X) -> isNeList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X1,X2) -> U71(X1,X2) a__U72(X) -> U72(X) a__isPal(X) -> isPal(X) a__U81(X) -> U81(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) Matrix Interpretation Processor: dimension: 1 interpretation: [mark#](x0) = x0, [a____#](x0, x1) = x0 + x1, [isNePal](x0) = x0, [isQid](x0) = x0, [U81](x0) = x0, [isPal](x0) = x0 + 1, [U72](x0) = x0, [U71](x0, x1) = x0 + x1, [U61](x0) = x0, [U52](x0) = x0, [U51](x0, x1) = x0 + x1, [isNeList](x0) = x0, [U42](x0) = x0, [U41](x0, x1) = x1, [U31](x0) = x0, [isList](x0) = x0 + 1, [U22](x0) = x0, [U21](x0, x1) = x0 + x1, [U11](x0) = x0 + 1, [u] = 1, [o] = 1, [i] = 1, [e] = 1, [a] = 1, [a__isNePal](x0) = x0, [a__isQid](x0) = x0, [a__U81](x0) = x0, [a__U72](x0) = x0, [a__isPal](x0) = x0 + 1, [a__U71](x0, x1) = x0 + x1, [a__U61](x0) = x0, [a__U52](x0) = x0, [a__U51](x0, x1) = x0 + x1, [a__U42](x0) = x0, [a__isNeList](x0) = x0, [a__U41](x0, x1) = x1, [a__U31](x0) = x0, [a__U22](x0) = x0, [a__isList](x0) = x0 + 1, [a__U21](x0, x1) = x0 + x1, [a__U11](x0) = x0 + 1, [tt] = 1, [nil] = 0, [mark](x0) = x0, [a____](x0, x1) = x0 + x1, [__](x0, x1) = x0 + x1 orientation: mark#(U81(X)) = X >= X = mark#(X) mark#(U11(X)) = X + 1 >= X = mark#(X) mark#(U21(X1,X2)) = X1 + X2 >= X1 = mark#(X1) mark#(U22(X)) = X >= X = mark#(X) mark#(U31(X)) = X >= X = mark#(X) mark#(U42(X)) = X >= X = mark#(X) mark#(U51(X1,X2)) = X1 + X2 >= X1 = mark#(X1) mark#(U52(X)) = X >= X = mark#(X) mark#(U61(X)) = X >= X = mark#(X) mark#(U71(X1,X2)) = X1 + X2 >= X1 = mark#(X1) mark#(U72(X)) = X >= X = mark#(X) a____#(__(X,Y),Z) = X + Y + Z >= X + Y + Z = a____#(mark(X),a____(mark(Y),mark(Z))) a____#(X,nil()) = X >= X = mark#(X) a____#(nil(),X) = X >= X = mark#(X) a____(__(X,Y),Z) = X + Y + Z >= X + Y + Z = a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) = X >= X = mark(X) a____(nil(),X) = X >= X = mark(X) a__U11(tt()) = 2 >= 1 = tt() a__U21(tt(),V2) = V2 + 1 >= V2 + 1 = a__U22(a__isList(V2)) a__U22(tt()) = 1 >= 1 = tt() a__U31(tt()) = 1 >= 1 = tt() a__U41(tt(),V2) = V2 >= V2 = a__U42(a__isNeList(V2)) a__U42(tt()) = 1 >= 1 = tt() a__U51(tt(),V2) = V2 + 1 >= V2 + 1 = a__U52(a__isList(V2)) a__U52(tt()) = 1 >= 1 = tt() a__U61(tt()) = 1 >= 1 = tt() a__U71(tt(),P) = P + 1 >= P + 1 = a__U72(a__isPal(P)) a__U72(tt()) = 1 >= 1 = tt() a__U81(tt()) = 1 >= 1 = tt() a__isList(V) = V + 1 >= V + 1 = a__U11(a__isNeList(V)) a__isList(nil()) = 1 >= 1 = tt() a__isList(__(V1,V2)) = V1 + V2 + 1 >= V1 + V2 + 1 = a__U21(a__isList(V1),V2) a__isNeList(V) = V >= V = a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) = V1 + V2 >= V2 = a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) = V1 + V2 >= V1 + V2 = a__U51(a__isNeList(V1),V2) a__isNePal(V) = V >= V = a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) = 2I + P >= I + P = a__U71(a__isQid(I),P) a__isPal(V) = V + 1 >= V = a__U81(a__isNePal(V)) a__isPal(nil()) = 1 >= 1 = tt() a__isQid(a()) = 1 >= 1 = tt() a__isQid(e()) = 1 >= 1 = tt() a__isQid(i()) = 1 >= 1 = tt() a__isQid(o()) = 1 >= 1 = tt() a__isQid(u()) = 1 >= 1 = tt() mark(__(X1,X2)) = X1 + X2 >= X1 + X2 = a____(mark(X1),mark(X2)) mark(U11(X)) = X + 1 >= X + 1 = a__U11(mark(X)) mark(U21(X1,X2)) = X1 + X2 >= X1 + X2 = a__U21(mark(X1),X2) mark(U22(X)) = X >= X = a__U22(mark(X)) mark(isList(X)) = X + 1 >= X + 1 = a__isList(X) mark(U31(X)) = X >= X = a__U31(mark(X)) mark(U41(X1,X2)) = X2 >= X2 = a__U41(mark(X1),X2) mark(U42(X)) = X >= X = a__U42(mark(X)) mark(isNeList(X)) = X >= X = a__isNeList(X) mark(U51(X1,X2)) = X1 + X2 >= X1 + X2 = a__U51(mark(X1),X2) mark(U52(X)) = X >= X = a__U52(mark(X)) mark(U61(X)) = X >= X = a__U61(mark(X)) mark(U71(X1,X2)) = X1 + X2 >= X1 + X2 = a__U71(mark(X1),X2) mark(U72(X)) = X >= X = a__U72(mark(X)) mark(isPal(X)) = X + 1 >= X + 1 = a__isPal(X) mark(U81(X)) = X >= X = a__U81(mark(X)) mark(isQid(X)) = X >= X = a__isQid(X) mark(isNePal(X)) = X >= X = a__isNePal(X) mark(nil()) = 0 >= 0 = nil() mark(tt()) = 1 >= 1 = tt() mark(a()) = 1 >= 1 = a() mark(e()) = 1 >= 1 = e() mark(i()) = 1 >= 1 = i() mark(o()) = 1 >= 1 = o() mark(u()) = 1 >= 1 = u() a____(X1,X2) = X1 + X2 >= X1 + X2 = __(X1,X2) a__U11(X) = X + 1 >= X + 1 = U11(X) a__U21(X1,X2) = X1 + X2 >= X1 + X2 = U21(X1,X2) a__U22(X) = X >= X = U22(X) a__isList(X) = X + 1 >= X + 1 = isList(X) a__U31(X) = X >= X = U31(X) a__U41(X1,X2) = X2 >= X2 = U41(X1,X2) a__U42(X) = X >= X = U42(X) a__isNeList(X) = X >= X = isNeList(X) a__U51(X1,X2) = X1 + X2 >= X1 + X2 = U51(X1,X2) a__U52(X) = X >= X = U52(X) a__U61(X) = X >= X = U61(X) a__U71(X1,X2) = X1 + X2 >= X1 + X2 = U71(X1,X2) a__U72(X) = X >= X = U72(X) a__isPal(X) = X + 1 >= X + 1 = isPal(X) a__U81(X) = X >= X = U81(X) a__isQid(X) = X >= X = isQid(X) a__isNePal(X) = X >= X = isNePal(X) problem: DPs: mark#(U81(X)) -> mark#(X) mark#(U21(X1,X2)) -> mark#(X1) mark#(U22(X)) -> mark#(X) mark#(U31(X)) -> mark#(X) mark#(U42(X)) -> mark#(X) mark#(U51(X1,X2)) -> mark#(X1) mark#(U52(X)) -> mark#(X) mark#(U61(X)) -> mark#(X) mark#(U71(X1,X2)) -> mark#(X1) mark#(U72(X)) -> mark#(X) a____#(__(X,Y),Z) -> a____#(mark(X),a____(mark(Y),mark(Z))) a____#(X,nil()) -> mark#(X) a____#(nil(),X) -> mark#(X) TRS: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> tt() a__U21(tt(),V2) -> a__U22(a__isList(V2)) a__U22(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNeList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isList(V2)) a__U52(tt()) -> tt() a__U61(tt()) -> tt() a__U71(tt(),P) -> a__U72(a__isPal(P)) a__U72(tt()) -> tt() a__U81(tt()) -> tt() a__isList(V) -> a__U11(a__isNeList(V)) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2) a__isNeList(V) -> a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2) a__isNePal(V) -> a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P) a__isPal(V) -> a__U81(a__isNePal(V)) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(isList(X)) -> a__isList(X) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2)) -> a__U71(mark(X1),X2) mark(U72(X)) -> a__U72(mark(X)) mark(isPal(X)) -> a__isPal(X) mark(U81(X)) -> a__U81(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U21(X1,X2) -> U21(X1,X2) a__U22(X) -> U22(X) a__isList(X) -> isList(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNeList(X) -> isNeList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X1,X2) -> U71(X1,X2) a__U72(X) -> U72(X) a__isPal(X) -> isPal(X) a__U81(X) -> U81(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) Matrix Interpretation Processor: dimension: 1 interpretation: [mark#](x0) = 0, [a____#](x0, x1) = 1, [isNePal](x0) = 0, [isQid](x0) = 0, [U81](x0) = 0, [isPal](x0) = 0, [U72](x0) = x0, [U71](x0, x1) = x0, [U61](x0) = 0, [U52](x0) = x0, [U51](x0, x1) = 1, [isNeList](x0) = 1, [U42](x0) = 1, [U41](x0, x1) = 1, [U31](x0) = 1, [isList](x0) = 0, [U22](x0) = 0, [U21](x0, x1) = 0, [U11](x0) = x0, [u] = 1, [o] = 1, [i] = 1, [e] = 1, [a] = 1, [a__isNePal](x0) = 0, [a__isQid](x0) = 0, [a__U81](x0) = 0, [a__U72](x0) = x0, [a__isPal](x0) = 0, [a__U71](x0, x1) = x0, [a__U61](x0) = 0, [a__U52](x0) = x0, [a__U51](x0, x1) = 1, [a__U42](x0) = 1, [a__isNeList](x0) = 1, [a__U41](x0, x1) = 1, [a__U31](x0) = 1, [a__U22](x0) = 0, [a__isList](x0) = 1, [a__U21](x0, x1) = 0, [a__U11](x0) = x0, [tt] = 0, [nil] = 1, [mark](x0) = 1, [a____](x0, x1) = 1, [__](x0, x1) = 0 orientation: mark#(U81(X)) = 0 >= 0 = mark#(X) mark#(U21(X1,X2)) = 0 >= 0 = mark#(X1) mark#(U22(X)) = 0 >= 0 = mark#(X) mark#(U31(X)) = 0 >= 0 = mark#(X) mark#(U42(X)) = 0 >= 0 = mark#(X) mark#(U51(X1,X2)) = 0 >= 0 = mark#(X1) mark#(U52(X)) = 0 >= 0 = mark#(X) mark#(U61(X)) = 0 >= 0 = mark#(X) mark#(U71(X1,X2)) = 0 >= 0 = mark#(X1) mark#(U72(X)) = 0 >= 0 = mark#(X) a____#(__(X,Y),Z) = 1 >= 1 = a____#(mark(X),a____(mark(Y),mark(Z))) a____#(X,nil()) = 1 >= 0 = mark#(X) a____#(nil(),X) = 1 >= 0 = mark#(X) a____(__(X,Y),Z) = 1 >= 1 = a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) = 1 >= 1 = mark(X) a____(nil(),X) = 1 >= 1 = mark(X) a__U11(tt()) = 0 >= 0 = tt() a__U21(tt(),V2) = 0 >= 0 = a__U22(a__isList(V2)) a__U22(tt()) = 0 >= 0 = tt() a__U31(tt()) = 1 >= 0 = tt() a__U41(tt(),V2) = 1 >= 1 = a__U42(a__isNeList(V2)) a__U42(tt()) = 1 >= 0 = tt() a__U51(tt(),V2) = 1 >= 1 = a__U52(a__isList(V2)) a__U52(tt()) = 0 >= 0 = tt() a__U61(tt()) = 0 >= 0 = tt() a__U71(tt(),P) = 0 >= 0 = a__U72(a__isPal(P)) a__U72(tt()) = 0 >= 0 = tt() a__U81(tt()) = 0 >= 0 = tt() a__isList(V) = 1 >= 1 = a__U11(a__isNeList(V)) a__isList(nil()) = 1 >= 0 = tt() a__isList(__(V1,V2)) = 1 >= 0 = a__U21(a__isList(V1),V2) a__isNeList(V) = 1 >= 1 = a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) = 1 >= 1 = a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) = 1 >= 1 = a__U51(a__isNeList(V1),V2) a__isNePal(V) = 0 >= 0 = a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) = 0 >= 0 = a__U71(a__isQid(I),P) a__isPal(V) = 0 >= 0 = a__U81(a__isNePal(V)) a__isPal(nil()) = 0 >= 0 = tt() a__isQid(a()) = 0 >= 0 = tt() a__isQid(e()) = 0 >= 0 = tt() a__isQid(i()) = 0 >= 0 = tt() a__isQid(o()) = 0 >= 0 = tt() a__isQid(u()) = 0 >= 0 = tt() mark(__(X1,X2)) = 1 >= 1 = a____(mark(X1),mark(X2)) mark(U11(X)) = 1 >= 1 = a__U11(mark(X)) mark(U21(X1,X2)) = 1 >= 0 = a__U21(mark(X1),X2) mark(U22(X)) = 1 >= 0 = a__U22(mark(X)) mark(isList(X)) = 1 >= 1 = a__isList(X) mark(U31(X)) = 1 >= 1 = a__U31(mark(X)) mark(U41(X1,X2)) = 1 >= 1 = a__U41(mark(X1),X2) mark(U42(X)) = 1 >= 1 = a__U42(mark(X)) mark(isNeList(X)) = 1 >= 1 = a__isNeList(X) mark(U51(X1,X2)) = 1 >= 1 = a__U51(mark(X1),X2) mark(U52(X)) = 1 >= 1 = a__U52(mark(X)) mark(U61(X)) = 1 >= 0 = a__U61(mark(X)) mark(U71(X1,X2)) = 1 >= 1 = a__U71(mark(X1),X2) mark(U72(X)) = 1 >= 1 = a__U72(mark(X)) mark(isPal(X)) = 1 >= 0 = a__isPal(X) mark(U81(X)) = 1 >= 0 = a__U81(mark(X)) mark(isQid(X)) = 1 >= 0 = a__isQid(X) mark(isNePal(X)) = 1 >= 0 = a__isNePal(X) mark(nil()) = 1 >= 1 = nil() mark(tt()) = 1 >= 0 = tt() mark(a()) = 1 >= 1 = a() mark(e()) = 1 >= 1 = e() mark(i()) = 1 >= 1 = i() mark(o()) = 1 >= 1 = o() mark(u()) = 1 >= 1 = u() a____(X1,X2) = 1 >= 0 = __(X1,X2) a__U11(X) = X >= X = U11(X) a__U21(X1,X2) = 0 >= 0 = U21(X1,X2) a__U22(X) = 0 >= 0 = U22(X) a__isList(X) = 1 >= 0 = isList(X) a__U31(X) = 1 >= 1 = U31(X) a__U41(X1,X2) = 1 >= 1 = U41(X1,X2) a__U42(X) = 1 >= 1 = U42(X) a__isNeList(X) = 1 >= 1 = isNeList(X) a__U51(X1,X2) = 1 >= 1 = U51(X1,X2) a__U52(X) = X >= X = U52(X) a__U61(X) = 0 >= 0 = U61(X) a__U71(X1,X2) = X1 >= X1 = U71(X1,X2) a__U72(X) = X >= X = U72(X) a__isPal(X) = 0 >= 0 = isPal(X) a__U81(X) = 0 >= 0 = U81(X) a__isQid(X) = 0 >= 0 = isQid(X) a__isNePal(X) = 0 >= 0 = isNePal(X) problem: DPs: mark#(U81(X)) -> mark#(X) mark#(U21(X1,X2)) -> mark#(X1) mark#(U22(X)) -> mark#(X) mark#(U31(X)) -> mark#(X) mark#(U42(X)) -> mark#(X) mark#(U51(X1,X2)) -> mark#(X1) mark#(U52(X)) -> mark#(X) mark#(U61(X)) -> mark#(X) mark#(U71(X1,X2)) -> mark#(X1) mark#(U72(X)) -> mark#(X) a____#(__(X,Y),Z) -> a____#(mark(X),a____(mark(Y),mark(Z))) TRS: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> tt() a__U21(tt(),V2) -> a__U22(a__isList(V2)) a__U22(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNeList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isList(V2)) a__U52(tt()) -> tt() a__U61(tt()) -> tt() a__U71(tt(),P) -> a__U72(a__isPal(P)) a__U72(tt()) -> tt() a__U81(tt()) -> tt() a__isList(V) -> a__U11(a__isNeList(V)) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2) a__isNeList(V) -> a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2) a__isNePal(V) -> a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P) a__isPal(V) -> a__U81(a__isNePal(V)) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(isList(X)) -> a__isList(X) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2)) -> a__U71(mark(X1),X2) mark(U72(X)) -> a__U72(mark(X)) mark(isPal(X)) -> a__isPal(X) mark(U81(X)) -> a__U81(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U21(X1,X2) -> U21(X1,X2) a__U22(X) -> U22(X) a__isList(X) -> isList(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNeList(X) -> isNeList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X1,X2) -> U71(X1,X2) a__U72(X) -> U72(X) a__isPal(X) -> isPal(X) a__U81(X) -> U81(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) Matrix Interpretation Processor: dimension: 1 interpretation: [mark#](x0) = x0 + 1, [a____#](x0, x1) = 0, [isNePal](x0) = x0, [isQid](x0) = x0, [U81](x0) = x0 + 1, [isPal](x0) = x0 + 1, [U72](x0) = x0, [U71](x0, x1) = x0 + x1, [U61](x0) = x0, [U52](x0) = x0 + 1, [U51](x0, x1) = x0 + x1, [isNeList](x0) = x0, [U42](x0) = x0, [U41](x0, x1) = x0 + x1, [U31](x0) = x0, [isList](x0) = x0, [U22](x0) = x0 + 1, [U21](x0, x1) = x0 + x1, [U11](x0) = x0, [u] = 1, [o] = 1, [i] = 1, [e] = 1, [a] = 1, [a__isNePal](x0) = x0, [a__isQid](x0) = x0, [a__U81](x0) = x0 + 1, [a__U72](x0) = x0, [a__isPal](x0) = x0 + 1, [a__U71](x0, x1) = x0 + x1, [a__U61](x0) = x0, [a__U52](x0) = x0 + 1, [a__U51](x0, x1) = x0 + x1, [a__U42](x0) = x0, [a__isNeList](x0) = x0, [a__U41](x0, x1) = x0 + x1, [a__U31](x0) = x0, [a__U22](x0) = x0 + 1, [a__isList](x0) = x0, [a__U21](x0, x1) = x0 + x1, [a__U11](x0) = x0, [tt] = 1, [nil] = 1, [mark](x0) = x0, [a____](x0, x1) = x0 + x1, [__](x0, x1) = x0 + x1 orientation: mark#(U81(X)) = X + 2 >= X + 1 = mark#(X) mark#(U21(X1,X2)) = X1 + X2 + 1 >= X1 + 1 = mark#(X1) mark#(U22(X)) = X + 2 >= X + 1 = mark#(X) mark#(U31(X)) = X + 1 >= X + 1 = mark#(X) mark#(U42(X)) = X + 1 >= X + 1 = mark#(X) mark#(U51(X1,X2)) = X1 + X2 + 1 >= X1 + 1 = mark#(X1) mark#(U52(X)) = X + 2 >= X + 1 = mark#(X) mark#(U61(X)) = X + 1 >= X + 1 = mark#(X) mark#(U71(X1,X2)) = X1 + X2 + 1 >= X1 + 1 = mark#(X1) mark#(U72(X)) = X + 1 >= X + 1 = mark#(X) a____#(__(X,Y),Z) = 0 >= 0 = a____#(mark(X),a____(mark(Y),mark(Z))) a____(__(X,Y),Z) = X + Y + Z >= X + Y + Z = a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) = X + 1 >= X = mark(X) a____(nil(),X) = X + 1 >= X = mark(X) a__U11(tt()) = 1 >= 1 = tt() a__U21(tt(),V2) = V2 + 1 >= V2 + 1 = a__U22(a__isList(V2)) a__U22(tt()) = 2 >= 1 = tt() a__U31(tt()) = 1 >= 1 = tt() a__U41(tt(),V2) = V2 + 1 >= V2 = a__U42(a__isNeList(V2)) a__U42(tt()) = 1 >= 1 = tt() a__U51(tt(),V2) = V2 + 1 >= V2 + 1 = a__U52(a__isList(V2)) a__U52(tt()) = 2 >= 1 = tt() a__U61(tt()) = 1 >= 1 = tt() a__U71(tt(),P) = P + 1 >= P + 1 = a__U72(a__isPal(P)) a__U72(tt()) = 1 >= 1 = tt() a__U81(tt()) = 2 >= 1 = tt() a__isList(V) = V >= V = a__U11(a__isNeList(V)) a__isList(nil()) = 1 >= 1 = tt() a__isList(__(V1,V2)) = V1 + V2 >= V1 + V2 = a__U21(a__isList(V1),V2) a__isNeList(V) = V >= V = a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) = V1 + V2 >= V1 + V2 = a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) = V1 + V2 >= V1 + V2 = a__U51(a__isNeList(V1),V2) a__isNePal(V) = V >= V = a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) = 2I + P >= I + P = a__U71(a__isQid(I),P) a__isPal(V) = V + 1 >= V + 1 = a__U81(a__isNePal(V)) a__isPal(nil()) = 2 >= 1 = tt() a__isQid(a()) = 1 >= 1 = tt() a__isQid(e()) = 1 >= 1 = tt() a__isQid(i()) = 1 >= 1 = tt() a__isQid(o()) = 1 >= 1 = tt() a__isQid(u()) = 1 >= 1 = tt() mark(__(X1,X2)) = X1 + X2 >= X1 + X2 = a____(mark(X1),mark(X2)) mark(U11(X)) = X >= X = a__U11(mark(X)) mark(U21(X1,X2)) = X1 + X2 >= X1 + X2 = a__U21(mark(X1),X2) mark(U22(X)) = X + 1 >= X + 1 = a__U22(mark(X)) mark(isList(X)) = X >= X = a__isList(X) mark(U31(X)) = X >= X = a__U31(mark(X)) mark(U41(X1,X2)) = X1 + X2 >= X1 + X2 = a__U41(mark(X1),X2) mark(U42(X)) = X >= X = a__U42(mark(X)) mark(isNeList(X)) = X >= X = a__isNeList(X) mark(U51(X1,X2)) = X1 + X2 >= X1 + X2 = a__U51(mark(X1),X2) mark(U52(X)) = X + 1 >= X + 1 = a__U52(mark(X)) mark(U61(X)) = X >= X = a__U61(mark(X)) mark(U71(X1,X2)) = X1 + X2 >= X1 + X2 = a__U71(mark(X1),X2) mark(U72(X)) = X >= X = a__U72(mark(X)) mark(isPal(X)) = X + 1 >= X + 1 = a__isPal(X) mark(U81(X)) = X + 1 >= X + 1 = a__U81(mark(X)) mark(isQid(X)) = X >= X = a__isQid(X) mark(isNePal(X)) = X >= X = a__isNePal(X) mark(nil()) = 1 >= 1 = nil() mark(tt()) = 1 >= 1 = tt() mark(a()) = 1 >= 1 = a() mark(e()) = 1 >= 1 = e() mark(i()) = 1 >= 1 = i() mark(o()) = 1 >= 1 = o() mark(u()) = 1 >= 1 = u() a____(X1,X2) = X1 + X2 >= X1 + X2 = __(X1,X2) a__U11(X) = X >= X = U11(X) a__U21(X1,X2) = X1 + X2 >= X1 + X2 = U21(X1,X2) a__U22(X) = X + 1 >= X + 1 = U22(X) a__isList(X) = X >= X = isList(X) a__U31(X) = X >= X = U31(X) a__U41(X1,X2) = X1 + X2 >= X1 + X2 = U41(X1,X2) a__U42(X) = X >= X = U42(X) a__isNeList(X) = X >= X = isNeList(X) a__U51(X1,X2) = X1 + X2 >= X1 + X2 = U51(X1,X2) a__U52(X) = X + 1 >= X + 1 = U52(X) a__U61(X) = X >= X = U61(X) a__U71(X1,X2) = X1 + X2 >= X1 + X2 = U71(X1,X2) a__U72(X) = X >= X = U72(X) a__isPal(X) = X + 1 >= X + 1 = isPal(X) a__U81(X) = X + 1 >= X + 1 = U81(X) a__isQid(X) = X >= X = isQid(X) a__isNePal(X) = X >= X = isNePal(X) problem: DPs: mark#(U21(X1,X2)) -> mark#(X1) mark#(U31(X)) -> mark#(X) mark#(U42(X)) -> mark#(X) mark#(U51(X1,X2)) -> mark#(X1) mark#(U61(X)) -> mark#(X) mark#(U71(X1,X2)) -> mark#(X1) mark#(U72(X)) -> mark#(X) a____#(__(X,Y),Z) -> a____#(mark(X),a____(mark(Y),mark(Z))) TRS: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> tt() a__U21(tt(),V2) -> a__U22(a__isList(V2)) a__U22(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNeList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isList(V2)) a__U52(tt()) -> tt() a__U61(tt()) -> tt() a__U71(tt(),P) -> a__U72(a__isPal(P)) a__U72(tt()) -> tt() a__U81(tt()) -> tt() a__isList(V) -> a__U11(a__isNeList(V)) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2) a__isNeList(V) -> a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2) a__isNePal(V) -> a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P) a__isPal(V) -> a__U81(a__isNePal(V)) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(isList(X)) -> a__isList(X) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2)) -> a__U71(mark(X1),X2) mark(U72(X)) -> a__U72(mark(X)) mark(isPal(X)) -> a__isPal(X) mark(U81(X)) -> a__U81(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U21(X1,X2) -> U21(X1,X2) a__U22(X) -> U22(X) a__isList(X) -> isList(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNeList(X) -> isNeList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X1,X2) -> U71(X1,X2) a__U72(X) -> U72(X) a__isPal(X) -> isPal(X) a__U81(X) -> U81(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) Matrix Interpretation Processor: dimension: 1 interpretation: [mark#](x0) = x0 + 1, [a____#](x0, x1) = 0, [isNePal](x0) = x0 + 1, [isQid](x0) = x0, [U81](x0) = 0, [isPal](x0) = 0, [U72](x0) = x0, [U71](x0, x1) = x0, [U61](x0) = x0 + 1, [U52](x0) = 1, [U51](x0, x1) = x0 + x1 + 1, [isNeList](x0) = x0 + 1, [U42](x0) = x0, [U41](x0, x1) = x0 + x1 + 1, [U31](x0) = x0, [isList](x0) = x0, [U22](x0) = 1, [U21](x0, x1) = x0 + x1 + 1, [U11](x0) = 0, [u] = 0, [o] = 0, [i] = 0, [e] = 0, [a] = 1, [a__isNePal](x0) = x0 + 1, [a__isQid](x0) = x0, [a__U81](x0) = 0, [a__U72](x0) = x0, [a__isPal](x0) = 0, [a__U71](x0, x1) = x0, [a__U61](x0) = x0 + 1, [a__U52](x0) = 1, [a__U51](x0, x1) = x0 + x1 + 1, [a__U42](x0) = x0, [a__isNeList](x0) = x0 + 1, [a__U41](x0, x1) = x0 + x1 + 1, [a__U31](x0) = x0, [a__U22](x0) = 1, [a__isList](x0) = x0, [a__U21](x0, x1) = x0 + x1 + 1, [a__U11](x0) = 0, [tt] = 0, [nil] = 0, [mark](x0) = x0, [a____](x0, x1) = x0 + x1 + 1, [__](x0, x1) = x0 + x1 + 1 orientation: mark#(U21(X1,X2)) = X1 + X2 + 2 >= X1 + 1 = mark#(X1) mark#(U31(X)) = X + 1 >= X + 1 = mark#(X) mark#(U42(X)) = X + 1 >= X + 1 = mark#(X) mark#(U51(X1,X2)) = X1 + X2 + 2 >= X1 + 1 = mark#(X1) mark#(U61(X)) = X + 2 >= X + 1 = mark#(X) mark#(U71(X1,X2)) = X1 + 1 >= X1 + 1 = mark#(X1) mark#(U72(X)) = X + 1 >= X + 1 = mark#(X) a____#(__(X,Y),Z) = 0 >= 0 = a____#(mark(X),a____(mark(Y),mark(Z))) a____(__(X,Y),Z) = X + Y + Z + 2 >= X + Y + Z + 2 = a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) = X + 1 >= X = mark(X) a____(nil(),X) = X + 1 >= X = mark(X) a__U11(tt()) = 0 >= 0 = tt() a__U21(tt(),V2) = V2 + 1 >= 1 = a__U22(a__isList(V2)) a__U22(tt()) = 1 >= 0 = tt() a__U31(tt()) = 0 >= 0 = tt() a__U41(tt(),V2) = V2 + 1 >= V2 + 1 = a__U42(a__isNeList(V2)) a__U42(tt()) = 0 >= 0 = tt() a__U51(tt(),V2) = V2 + 1 >= 1 = a__U52(a__isList(V2)) a__U52(tt()) = 1 >= 0 = tt() a__U61(tt()) = 1 >= 0 = tt() a__U71(tt(),P) = 0 >= 0 = a__U72(a__isPal(P)) a__U72(tt()) = 0 >= 0 = tt() a__U81(tt()) = 0 >= 0 = tt() a__isList(V) = V >= 0 = a__U11(a__isNeList(V)) a__isList(nil()) = 0 >= 0 = tt() a__isList(__(V1,V2)) = V1 + V2 + 1 >= V1 + V2 + 1 = a__U21(a__isList(V1),V2) a__isNeList(V) = V + 1 >= V = a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) = V1 + V2 + 2 >= V1 + V2 + 1 = a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) = V1 + V2 + 2 >= V1 + V2 + 2 = a__U51(a__isNeList(V1),V2) a__isNePal(V) = V + 1 >= V + 1 = a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) = 2I + P + 3 >= I = a__U71(a__isQid(I),P) a__isPal(V) = 0 >= 0 = a__U81(a__isNePal(V)) a__isPal(nil()) = 0 >= 0 = tt() a__isQid(a()) = 1 >= 0 = tt() a__isQid(e()) = 0 >= 0 = tt() a__isQid(i()) = 0 >= 0 = tt() a__isQid(o()) = 0 >= 0 = tt() a__isQid(u()) = 0 >= 0 = tt() mark(__(X1,X2)) = X1 + X2 + 1 >= X1 + X2 + 1 = a____(mark(X1),mark(X2)) mark(U11(X)) = 0 >= 0 = a__U11(mark(X)) mark(U21(X1,X2)) = X1 + X2 + 1 >= X1 + X2 + 1 = a__U21(mark(X1),X2) mark(U22(X)) = 1 >= 1 = a__U22(mark(X)) mark(isList(X)) = X >= X = a__isList(X) mark(U31(X)) = X >= X = a__U31(mark(X)) mark(U41(X1,X2)) = X1 + X2 + 1 >= X1 + X2 + 1 = a__U41(mark(X1),X2) mark(U42(X)) = X >= X = a__U42(mark(X)) mark(isNeList(X)) = X + 1 >= X + 1 = a__isNeList(X) mark(U51(X1,X2)) = X1 + X2 + 1 >= X1 + X2 + 1 = a__U51(mark(X1),X2) mark(U52(X)) = 1 >= 1 = a__U52(mark(X)) mark(U61(X)) = X + 1 >= X + 1 = a__U61(mark(X)) mark(U71(X1,X2)) = X1 >= X1 = a__U71(mark(X1),X2) mark(U72(X)) = X >= X = a__U72(mark(X)) mark(isPal(X)) = 0 >= 0 = a__isPal(X) mark(U81(X)) = 0 >= 0 = a__U81(mark(X)) mark(isQid(X)) = X >= X = a__isQid(X) mark(isNePal(X)) = X + 1 >= X + 1 = a__isNePal(X) mark(nil()) = 0 >= 0 = nil() mark(tt()) = 0 >= 0 = tt() mark(a()) = 1 >= 1 = a() mark(e()) = 0 >= 0 = e() mark(i()) = 0 >= 0 = i() mark(o()) = 0 >= 0 = o() mark(u()) = 0 >= 0 = u() a____(X1,X2) = X1 + X2 + 1 >= X1 + X2 + 1 = __(X1,X2) a__U11(X) = 0 >= 0 = U11(X) a__U21(X1,X2) = X1 + X2 + 1 >= X1 + X2 + 1 = U21(X1,X2) a__U22(X) = 1 >= 1 = U22(X) a__isList(X) = X >= X = isList(X) a__U31(X) = X >= X = U31(X) a__U41(X1,X2) = X1 + X2 + 1 >= X1 + X2 + 1 = U41(X1,X2) a__U42(X) = X >= X = U42(X) a__isNeList(X) = X + 1 >= X + 1 = isNeList(X) a__U51(X1,X2) = X1 + X2 + 1 >= X1 + X2 + 1 = U51(X1,X2) a__U52(X) = 1 >= 1 = U52(X) a__U61(X) = X + 1 >= X + 1 = U61(X) a__U71(X1,X2) = X1 >= X1 = U71(X1,X2) a__U72(X) = X >= X = U72(X) a__isPal(X) = 0 >= 0 = isPal(X) a__U81(X) = 0 >= 0 = U81(X) a__isQid(X) = X >= X = isQid(X) a__isNePal(X) = X + 1 >= X + 1 = isNePal(X) problem: DPs: mark#(U31(X)) -> mark#(X) mark#(U42(X)) -> mark#(X) mark#(U71(X1,X2)) -> mark#(X1) mark#(U72(X)) -> mark#(X) a____#(__(X,Y),Z) -> a____#(mark(X),a____(mark(Y),mark(Z))) TRS: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> tt() a__U21(tt(),V2) -> a__U22(a__isList(V2)) a__U22(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNeList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isList(V2)) a__U52(tt()) -> tt() a__U61(tt()) -> tt() a__U71(tt(),P) -> a__U72(a__isPal(P)) a__U72(tt()) -> tt() a__U81(tt()) -> tt() a__isList(V) -> a__U11(a__isNeList(V)) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2) a__isNeList(V) -> a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2) a__isNePal(V) -> a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P) a__isPal(V) -> a__U81(a__isNePal(V)) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(isList(X)) -> a__isList(X) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2)) -> a__U71(mark(X1),X2) mark(U72(X)) -> a__U72(mark(X)) mark(isPal(X)) -> a__isPal(X) mark(U81(X)) -> a__U81(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U21(X1,X2) -> U21(X1,X2) a__U22(X) -> U22(X) a__isList(X) -> isList(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNeList(X) -> isNeList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X1,X2) -> U71(X1,X2) a__U72(X) -> U72(X) a__isPal(X) -> isPal(X) a__U81(X) -> U81(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) Matrix Interpretation Processor: dimension: 1 interpretation: [mark#](x0) = x0, [a____#](x0, x1) = 0, [isNePal](x0) = x0, [isQid](x0) = x0, [U81](x0) = x0, [isPal](x0) = x0, [U72](x0) = x0 + 1, [U71](x0, x1) = x0 + x1, [U61](x0) = x0, [U52](x0) = 1, [U51](x0, x1) = x0, [isNeList](x0) = x0, [U42](x0) = x0, [U41](x0, x1) = x1, [U31](x0) = x0, [isList](x0) = x0, [U22](x0) = x0, [U21](x0, x1) = x1, [U11](x0) = x0, [u] = 1, [o] = 1, [i] = 1, [e] = 1, [a] = 1, [a__isNePal](x0) = x0, [a__isQid](x0) = x0, [a__U81](x0) = x0, [a__U72](x0) = x0 + 1, [a__isPal](x0) = x0, [a__U71](x0, x1) = x0 + x1, [a__U61](x0) = x0, [a__U52](x0) = 1, [a__U51](x0, x1) = x0, [a__U42](x0) = x0, [a__isNeList](x0) = x0, [a__U41](x0, x1) = x1, [a__U31](x0) = x0, [a__U22](x0) = x0, [a__isList](x0) = x0, [a__U21](x0, x1) = x1, [a__U11](x0) = x0, [tt] = 1, [nil] = 1, [mark](x0) = x0, [a____](x0, x1) = x0 + x1, [__](x0, x1) = x0 + x1 orientation: mark#(U31(X)) = X >= X = mark#(X) mark#(U42(X)) = X >= X = mark#(X) mark#(U71(X1,X2)) = X1 + X2 >= X1 = mark#(X1) mark#(U72(X)) = X + 1 >= X = mark#(X) a____#(__(X,Y),Z) = 0 >= 0 = a____#(mark(X),a____(mark(Y),mark(Z))) a____(__(X,Y),Z) = X + Y + Z >= X + Y + Z = a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) = X + 1 >= X = mark(X) a____(nil(),X) = X + 1 >= X = mark(X) a__U11(tt()) = 1 >= 1 = tt() a__U21(tt(),V2) = V2 >= V2 = a__U22(a__isList(V2)) a__U22(tt()) = 1 >= 1 = tt() a__U31(tt()) = 1 >= 1 = tt() a__U41(tt(),V2) = V2 >= V2 = a__U42(a__isNeList(V2)) a__U42(tt()) = 1 >= 1 = tt() a__U51(tt(),V2) = 1 >= 1 = a__U52(a__isList(V2)) a__U52(tt()) = 1 >= 1 = tt() a__U61(tt()) = 1 >= 1 = tt() a__U71(tt(),P) = P + 1 >= P + 1 = a__U72(a__isPal(P)) a__U72(tt()) = 2 >= 1 = tt() a__U81(tt()) = 1 >= 1 = tt() a__isList(V) = V >= V = a__U11(a__isNeList(V)) a__isList(nil()) = 1 >= 1 = tt() a__isList(__(V1,V2)) = V1 + V2 >= V2 = a__U21(a__isList(V1),V2) a__isNeList(V) = V >= V = a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) = V1 + V2 >= V2 = a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) = V1 + V2 >= V1 = a__U51(a__isNeList(V1),V2) a__isNePal(V) = V >= V = a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) = 2I + P >= I + P = a__U71(a__isQid(I),P) a__isPal(V) = V >= V = a__U81(a__isNePal(V)) a__isPal(nil()) = 1 >= 1 = tt() a__isQid(a()) = 1 >= 1 = tt() a__isQid(e()) = 1 >= 1 = tt() a__isQid(i()) = 1 >= 1 = tt() a__isQid(o()) = 1 >= 1 = tt() a__isQid(u()) = 1 >= 1 = tt() mark(__(X1,X2)) = X1 + X2 >= X1 + X2 = a____(mark(X1),mark(X2)) mark(U11(X)) = X >= X = a__U11(mark(X)) mark(U21(X1,X2)) = X2 >= X2 = a__U21(mark(X1),X2) mark(U22(X)) = X >= X = a__U22(mark(X)) mark(isList(X)) = X >= X = a__isList(X) mark(U31(X)) = X >= X = a__U31(mark(X)) mark(U41(X1,X2)) = X2 >= X2 = a__U41(mark(X1),X2) mark(U42(X)) = X >= X = a__U42(mark(X)) mark(isNeList(X)) = X >= X = a__isNeList(X) mark(U51(X1,X2)) = X1 >= X1 = a__U51(mark(X1),X2) mark(U52(X)) = 1 >= 1 = a__U52(mark(X)) mark(U61(X)) = X >= X = a__U61(mark(X)) mark(U71(X1,X2)) = X1 + X2 >= X1 + X2 = a__U71(mark(X1),X2) mark(U72(X)) = X + 1 >= X + 1 = a__U72(mark(X)) mark(isPal(X)) = X >= X = a__isPal(X) mark(U81(X)) = X >= X = a__U81(mark(X)) mark(isQid(X)) = X >= X = a__isQid(X) mark(isNePal(X)) = X >= X = a__isNePal(X) mark(nil()) = 1 >= 1 = nil() mark(tt()) = 1 >= 1 = tt() mark(a()) = 1 >= 1 = a() mark(e()) = 1 >= 1 = e() mark(i()) = 1 >= 1 = i() mark(o()) = 1 >= 1 = o() mark(u()) = 1 >= 1 = u() a____(X1,X2) = X1 + X2 >= X1 + X2 = __(X1,X2) a__U11(X) = X >= X = U11(X) a__U21(X1,X2) = X2 >= X2 = U21(X1,X2) a__U22(X) = X >= X = U22(X) a__isList(X) = X >= X = isList(X) a__U31(X) = X >= X = U31(X) a__U41(X1,X2) = X2 >= X2 = U41(X1,X2) a__U42(X) = X >= X = U42(X) a__isNeList(X) = X >= X = isNeList(X) a__U51(X1,X2) = X1 >= X1 = U51(X1,X2) a__U52(X) = 1 >= 1 = U52(X) a__U61(X) = X >= X = U61(X) a__U71(X1,X2) = X1 + X2 >= X1 + X2 = U71(X1,X2) a__U72(X) = X + 1 >= X + 1 = U72(X) a__isPal(X) = X >= X = isPal(X) a__U81(X) = X >= X = U81(X) a__isQid(X) = X >= X = isQid(X) a__isNePal(X) = X >= X = isNePal(X) problem: DPs: mark#(U31(X)) -> mark#(X) mark#(U42(X)) -> mark#(X) mark#(U71(X1,X2)) -> mark#(X1) a____#(__(X,Y),Z) -> a____#(mark(X),a____(mark(Y),mark(Z))) TRS: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> tt() a__U21(tt(),V2) -> a__U22(a__isList(V2)) a__U22(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNeList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isList(V2)) a__U52(tt()) -> tt() a__U61(tt()) -> tt() a__U71(tt(),P) -> a__U72(a__isPal(P)) a__U72(tt()) -> tt() a__U81(tt()) -> tt() a__isList(V) -> a__U11(a__isNeList(V)) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2) a__isNeList(V) -> a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2) a__isNePal(V) -> a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P) a__isPal(V) -> a__U81(a__isNePal(V)) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(isList(X)) -> a__isList(X) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2)) -> a__U71(mark(X1),X2) mark(U72(X)) -> a__U72(mark(X)) mark(isPal(X)) -> a__isPal(X) mark(U81(X)) -> a__U81(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U21(X1,X2) -> U21(X1,X2) a__U22(X) -> U22(X) a__isList(X) -> isList(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNeList(X) -> isNeList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X1,X2) -> U71(X1,X2) a__U72(X) -> U72(X) a__isPal(X) -> isPal(X) a__U81(X) -> U81(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) Matrix Interpretation Processor: dimension: 1 interpretation: [mark#](x0) = 0, [a____#](x0, x1) = x0, [isNePal](x0) = 0, [isQid](x0) = 0, [U81](x0) = 0, [isPal](x0) = 0, [U72](x0) = 0, [U71](x0, x1) = 0, [U61](x0) = 0, [U52](x0) = 0, [U51](x0, x1) = 0, [isNeList](x0) = 0, [U42](x0) = 0, [U41](x0, x1) = 0, [U31](x0) = 0, [isList](x0) = 0, [U22](x0) = 0, [U21](x0, x1) = 0, [U11](x0) = 0, [u] = 0, [o] = 0, [i] = 0, [e] = 0, [a] = 0, [a__isNePal](x0) = 0, [a__isQid](x0) = 0, [a__U81](x0) = 0, [a__U72](x0) = 0, [a__isPal](x0) = 0, [a__U71](x0, x1) = 0, [a__U61](x0) = 0, [a__U52](x0) = 0, [a__U51](x0, x1) = 0, [a__U42](x0) = 0, [a__isNeList](x0) = 0, [a__U41](x0, x1) = 0, [a__U31](x0) = 0, [a__U22](x0) = 0, [a__isList](x0) = 0, [a__U21](x0, x1) = 0, [a__U11](x0) = 0, [tt] = 0, [nil] = 1, [mark](x0) = x0, [a____](x0, x1) = x0 + x1 + 1, [__](x0, x1) = x0 + x1 + 1 orientation: mark#(U31(X)) = 0 >= 0 = mark#(X) mark#(U42(X)) = 0 >= 0 = mark#(X) mark#(U71(X1,X2)) = 0 >= 0 = mark#(X1) a____#(__(X,Y),Z) = X + Y + 1 >= X = a____#(mark(X),a____(mark(Y),mark(Z))) a____(__(X,Y),Z) = X + Y + Z + 2 >= X + Y + Z + 2 = a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) = X + 2 >= X = mark(X) a____(nil(),X) = X + 2 >= X = mark(X) a__U11(tt()) = 0 >= 0 = tt() a__U21(tt(),V2) = 0 >= 0 = a__U22(a__isList(V2)) a__U22(tt()) = 0 >= 0 = tt() a__U31(tt()) = 0 >= 0 = tt() a__U41(tt(),V2) = 0 >= 0 = a__U42(a__isNeList(V2)) a__U42(tt()) = 0 >= 0 = tt() a__U51(tt(),V2) = 0 >= 0 = a__U52(a__isList(V2)) a__U52(tt()) = 0 >= 0 = tt() a__U61(tt()) = 0 >= 0 = tt() a__U71(tt(),P) = 0 >= 0 = a__U72(a__isPal(P)) a__U72(tt()) = 0 >= 0 = tt() a__U81(tt()) = 0 >= 0 = tt() a__isList(V) = 0 >= 0 = a__U11(a__isNeList(V)) a__isList(nil()) = 0 >= 0 = tt() a__isList(__(V1,V2)) = 0 >= 0 = a__U21(a__isList(V1),V2) a__isNeList(V) = 0 >= 0 = a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) = 0 >= 0 = a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) = 0 >= 0 = a__U51(a__isNeList(V1),V2) a__isNePal(V) = 0 >= 0 = a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) = 0 >= 0 = a__U71(a__isQid(I),P) a__isPal(V) = 0 >= 0 = a__U81(a__isNePal(V)) a__isPal(nil()) = 0 >= 0 = tt() a__isQid(a()) = 0 >= 0 = tt() a__isQid(e()) = 0 >= 0 = tt() a__isQid(i()) = 0 >= 0 = tt() a__isQid(o()) = 0 >= 0 = tt() a__isQid(u()) = 0 >= 0 = tt() mark(__(X1,X2)) = X1 + X2 + 1 >= X1 + X2 + 1 = a____(mark(X1),mark(X2)) mark(U11(X)) = 0 >= 0 = a__U11(mark(X)) mark(U21(X1,X2)) = 0 >= 0 = a__U21(mark(X1),X2) mark(U22(X)) = 0 >= 0 = a__U22(mark(X)) mark(isList(X)) = 0 >= 0 = a__isList(X) mark(U31(X)) = 0 >= 0 = a__U31(mark(X)) mark(U41(X1,X2)) = 0 >= 0 = a__U41(mark(X1),X2) mark(U42(X)) = 0 >= 0 = a__U42(mark(X)) mark(isNeList(X)) = 0 >= 0 = a__isNeList(X) mark(U51(X1,X2)) = 0 >= 0 = a__U51(mark(X1),X2) mark(U52(X)) = 0 >= 0 = a__U52(mark(X)) mark(U61(X)) = 0 >= 0 = a__U61(mark(X)) mark(U71(X1,X2)) = 0 >= 0 = a__U71(mark(X1),X2) mark(U72(X)) = 0 >= 0 = a__U72(mark(X)) mark(isPal(X)) = 0 >= 0 = a__isPal(X) mark(U81(X)) = 0 >= 0 = a__U81(mark(X)) mark(isQid(X)) = 0 >= 0 = a__isQid(X) mark(isNePal(X)) = 0 >= 0 = a__isNePal(X) mark(nil()) = 1 >= 1 = nil() mark(tt()) = 0 >= 0 = tt() mark(a()) = 0 >= 0 = a() mark(e()) = 0 >= 0 = e() mark(i()) = 0 >= 0 = i() mark(o()) = 0 >= 0 = o() mark(u()) = 0 >= 0 = u() a____(X1,X2) = X1 + X2 + 1 >= X1 + X2 + 1 = __(X1,X2) a__U11(X) = 0 >= 0 = U11(X) a__U21(X1,X2) = 0 >= 0 = U21(X1,X2) a__U22(X) = 0 >= 0 = U22(X) a__isList(X) = 0 >= 0 = isList(X) a__U31(X) = 0 >= 0 = U31(X) a__U41(X1,X2) = 0 >= 0 = U41(X1,X2) a__U42(X) = 0 >= 0 = U42(X) a__isNeList(X) = 0 >= 0 = isNeList(X) a__U51(X1,X2) = 0 >= 0 = U51(X1,X2) a__U52(X) = 0 >= 0 = U52(X) a__U61(X) = 0 >= 0 = U61(X) a__U71(X1,X2) = 0 >= 0 = U71(X1,X2) a__U72(X) = 0 >= 0 = U72(X) a__isPal(X) = 0 >= 0 = isPal(X) a__U81(X) = 0 >= 0 = U81(X) a__isQid(X) = 0 >= 0 = isQid(X) a__isNePal(X) = 0 >= 0 = isNePal(X) problem: DPs: mark#(U31(X)) -> mark#(X) mark#(U42(X)) -> mark#(X) mark#(U71(X1,X2)) -> mark#(X1) TRS: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> tt() a__U21(tt(),V2) -> a__U22(a__isList(V2)) a__U22(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNeList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isList(V2)) a__U52(tt()) -> tt() a__U61(tt()) -> tt() a__U71(tt(),P) -> a__U72(a__isPal(P)) a__U72(tt()) -> tt() a__U81(tt()) -> tt() a__isList(V) -> a__U11(a__isNeList(V)) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2) a__isNeList(V) -> a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2) a__isNePal(V) -> a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P) a__isPal(V) -> a__U81(a__isNePal(V)) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(isList(X)) -> a__isList(X) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2)) -> a__U71(mark(X1),X2) mark(U72(X)) -> a__U72(mark(X)) mark(isPal(X)) -> a__isPal(X) mark(U81(X)) -> a__U81(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U21(X1,X2) -> U21(X1,X2) a__U22(X) -> U22(X) a__isList(X) -> isList(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNeList(X) -> isNeList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X1,X2) -> U71(X1,X2) a__U72(X) -> U72(X) a__isPal(X) -> isPal(X) a__U81(X) -> U81(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) Matrix Interpretation Processor: dimension: 1 interpretation: [mark#](x0) = x0, [isNePal](x0) = 0, [isQid](x0) = 0, [U81](x0) = 1, [isPal](x0) = 1, [U72](x0) = 0, [U71](x0, x1) = x0, [U61](x0) = 0, [U52](x0) = 0, [U51](x0, x1) = 1, [isNeList](x0) = 1, [U42](x0) = x0, [U41](x0, x1) = 1, [U31](x0) = x0 + 1, [isList](x0) = 1, [U22](x0) = x0, [U21](x0, x1) = 1, [U11](x0) = x0, [u] = 0, [o] = 0, [i] = 1, [e] = 0, [a] = 0, [a__isNePal](x0) = 0, [a__isQid](x0) = 0, [a__U81](x0) = 1, [a__U72](x0) = 0, [a__isPal](x0) = 1, [a__U71](x0, x1) = x0, [a__U61](x0) = 0, [a__U52](x0) = 0, [a__U51](x0, x1) = 1, [a__U42](x0) = x0, [a__isNeList](x0) = 1, [a__U41](x0, x1) = 1, [a__U31](x0) = x0 + 1, [a__U22](x0) = x0, [a__isList](x0) = 1, [a__U21](x0, x1) = 1, [a__U11](x0) = x0, [tt] = 0, [nil] = 0, [mark](x0) = x0, [a____](x0, x1) = x0 + x1, [__](x0, x1) = x0 + x1 orientation: mark#(U31(X)) = X + 1 >= X = mark#(X) mark#(U42(X)) = X >= X = mark#(X) mark#(U71(X1,X2)) = X1 >= X1 = mark#(X1) a____(__(X,Y),Z) = X + Y + Z >= X + Y + Z = a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) = X >= X = mark(X) a____(nil(),X) = X >= X = mark(X) a__U11(tt()) = 0 >= 0 = tt() a__U21(tt(),V2) = 1 >= 1 = a__U22(a__isList(V2)) a__U22(tt()) = 0 >= 0 = tt() a__U31(tt()) = 1 >= 0 = tt() a__U41(tt(),V2) = 1 >= 1 = a__U42(a__isNeList(V2)) a__U42(tt()) = 0 >= 0 = tt() a__U51(tt(),V2) = 1 >= 0 = a__U52(a__isList(V2)) a__U52(tt()) = 0 >= 0 = tt() a__U61(tt()) = 0 >= 0 = tt() a__U71(tt(),P) = 0 >= 0 = a__U72(a__isPal(P)) a__U72(tt()) = 0 >= 0 = tt() a__U81(tt()) = 1 >= 0 = tt() a__isList(V) = 1 >= 1 = a__U11(a__isNeList(V)) a__isList(nil()) = 1 >= 0 = tt() a__isList(__(V1,V2)) = 1 >= 1 = a__U21(a__isList(V1),V2) a__isNeList(V) = 1 >= 1 = a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) = 1 >= 1 = a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) = 1 >= 1 = a__U51(a__isNeList(V1),V2) a__isNePal(V) = 0 >= 0 = a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) = 0 >= 0 = a__U71(a__isQid(I),P) a__isPal(V) = 1 >= 1 = a__U81(a__isNePal(V)) a__isPal(nil()) = 1 >= 0 = tt() a__isQid(a()) = 0 >= 0 = tt() a__isQid(e()) = 0 >= 0 = tt() a__isQid(i()) = 0 >= 0 = tt() a__isQid(o()) = 0 >= 0 = tt() a__isQid(u()) = 0 >= 0 = tt() mark(__(X1,X2)) = X1 + X2 >= X1 + X2 = a____(mark(X1),mark(X2)) mark(U11(X)) = X >= X = a__U11(mark(X)) mark(U21(X1,X2)) = 1 >= 1 = a__U21(mark(X1),X2) mark(U22(X)) = X >= X = a__U22(mark(X)) mark(isList(X)) = 1 >= 1 = a__isList(X) mark(U31(X)) = X + 1 >= X + 1 = a__U31(mark(X)) mark(U41(X1,X2)) = 1 >= 1 = a__U41(mark(X1),X2) mark(U42(X)) = X >= X = a__U42(mark(X)) mark(isNeList(X)) = 1 >= 1 = a__isNeList(X) mark(U51(X1,X2)) = 1 >= 1 = a__U51(mark(X1),X2) mark(U52(X)) = 0 >= 0 = a__U52(mark(X)) mark(U61(X)) = 0 >= 0 = a__U61(mark(X)) mark(U71(X1,X2)) = X1 >= X1 = a__U71(mark(X1),X2) mark(U72(X)) = 0 >= 0 = a__U72(mark(X)) mark(isPal(X)) = 1 >= 1 = a__isPal(X) mark(U81(X)) = 1 >= 1 = a__U81(mark(X)) mark(isQid(X)) = 0 >= 0 = a__isQid(X) mark(isNePal(X)) = 0 >= 0 = a__isNePal(X) mark(nil()) = 0 >= 0 = nil() mark(tt()) = 0 >= 0 = tt() mark(a()) = 0 >= 0 = a() mark(e()) = 0 >= 0 = e() mark(i()) = 1 >= 1 = i() mark(o()) = 0 >= 0 = o() mark(u()) = 0 >= 0 = u() a____(X1,X2) = X1 + X2 >= X1 + X2 = __(X1,X2) a__U11(X) = X >= X = U11(X) a__U21(X1,X2) = 1 >= 1 = U21(X1,X2) a__U22(X) = X >= X = U22(X) a__isList(X) = 1 >= 1 = isList(X) a__U31(X) = X + 1 >= X + 1 = U31(X) a__U41(X1,X2) = 1 >= 1 = U41(X1,X2) a__U42(X) = X >= X = U42(X) a__isNeList(X) = 1 >= 1 = isNeList(X) a__U51(X1,X2) = 1 >= 1 = U51(X1,X2) a__U52(X) = 0 >= 0 = U52(X) a__U61(X) = 0 >= 0 = U61(X) a__U71(X1,X2) = X1 >= X1 = U71(X1,X2) a__U72(X) = 0 >= 0 = U72(X) a__isPal(X) = 1 >= 1 = isPal(X) a__U81(X) = 1 >= 1 = U81(X) a__isQid(X) = 0 >= 0 = isQid(X) a__isNePal(X) = 0 >= 0 = isNePal(X) problem: DPs: mark#(U42(X)) -> mark#(X) mark#(U71(X1,X2)) -> mark#(X1) TRS: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> tt() a__U21(tt(),V2) -> a__U22(a__isList(V2)) a__U22(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNeList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isList(V2)) a__U52(tt()) -> tt() a__U61(tt()) -> tt() a__U71(tt(),P) -> a__U72(a__isPal(P)) a__U72(tt()) -> tt() a__U81(tt()) -> tt() a__isList(V) -> a__U11(a__isNeList(V)) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2) a__isNeList(V) -> a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2) a__isNePal(V) -> a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P) a__isPal(V) -> a__U81(a__isNePal(V)) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(isList(X)) -> a__isList(X) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2)) -> a__U71(mark(X1),X2) mark(U72(X)) -> a__U72(mark(X)) mark(isPal(X)) -> a__isPal(X) mark(U81(X)) -> a__U81(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U21(X1,X2) -> U21(X1,X2) a__U22(X) -> U22(X) a__isList(X) -> isList(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNeList(X) -> isNeList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X1,X2) -> U71(X1,X2) a__U72(X) -> U72(X) a__isPal(X) -> isPal(X) a__U81(X) -> U81(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) Matrix Interpretation Processor: dimension: 1 interpretation: [mark#](x0) = x0, [isNePal](x0) = 1, [isQid](x0) = 0, [U81](x0) = 1, [isPal](x0) = 1, [U72](x0) = x0, [U71](x0, x1) = x0 + 1, [U61](x0) = 1, [U52](x0) = 0, [U51](x0, x1) = 0, [isNeList](x0) = 0, [U42](x0) = x0, [U41](x0, x1) = 0, [U31](x0) = 0, [isList](x0) = 0, [U22](x0) = 0, [U21](x0, x1) = 0, [U11](x0) = 0, [u] = 0, [o] = 0, [i] = 0, [e] = 0, [a] = 0, [a__isNePal](x0) = 1, [a__isQid](x0) = 0, [a__U81](x0) = 1, [a__U72](x0) = x0, [a__isPal](x0) = 1, [a__U71](x0, x1) = x0 + 1, [a__U61](x0) = 1, [a__U52](x0) = 0, [a__U51](x0, x1) = 0, [a__U42](x0) = x0, [a__isNeList](x0) = 0, [a__U41](x0, x1) = 0, [a__U31](x0) = 0, [a__U22](x0) = 0, [a__isList](x0) = 0, [a__U21](x0, x1) = 0, [a__U11](x0) = 0, [tt] = 0, [nil] = 0, [mark](x0) = x0, [a____](x0, x1) = x0 + x1, [__](x0, x1) = x0 + x1 orientation: mark#(U42(X)) = X >= X = mark#(X) mark#(U71(X1,X2)) = X1 + 1 >= X1 = mark#(X1) a____(__(X,Y),Z) = X + Y + Z >= X + Y + Z = a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) = X >= X = mark(X) a____(nil(),X) = X >= X = mark(X) a__U11(tt()) = 0 >= 0 = tt() a__U21(tt(),V2) = 0 >= 0 = a__U22(a__isList(V2)) a__U22(tt()) = 0 >= 0 = tt() a__U31(tt()) = 0 >= 0 = tt() a__U41(tt(),V2) = 0 >= 0 = a__U42(a__isNeList(V2)) a__U42(tt()) = 0 >= 0 = tt() a__U51(tt(),V2) = 0 >= 0 = a__U52(a__isList(V2)) a__U52(tt()) = 0 >= 0 = tt() a__U61(tt()) = 1 >= 0 = tt() a__U71(tt(),P) = 1 >= 1 = a__U72(a__isPal(P)) a__U72(tt()) = 0 >= 0 = tt() a__U81(tt()) = 1 >= 0 = tt() a__isList(V) = 0 >= 0 = a__U11(a__isNeList(V)) a__isList(nil()) = 0 >= 0 = tt() a__isList(__(V1,V2)) = 0 >= 0 = a__U21(a__isList(V1),V2) a__isNeList(V) = 0 >= 0 = a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) = 0 >= 0 = a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) = 0 >= 0 = a__U51(a__isNeList(V1),V2) a__isNePal(V) = 1 >= 1 = a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) = 1 >= 1 = a__U71(a__isQid(I),P) a__isPal(V) = 1 >= 1 = a__U81(a__isNePal(V)) a__isPal(nil()) = 1 >= 0 = tt() a__isQid(a()) = 0 >= 0 = tt() a__isQid(e()) = 0 >= 0 = tt() a__isQid(i()) = 0 >= 0 = tt() a__isQid(o()) = 0 >= 0 = tt() a__isQid(u()) = 0 >= 0 = tt() mark(__(X1,X2)) = X1 + X2 >= X1 + X2 = a____(mark(X1),mark(X2)) mark(U11(X)) = 0 >= 0 = a__U11(mark(X)) mark(U21(X1,X2)) = 0 >= 0 = a__U21(mark(X1),X2) mark(U22(X)) = 0 >= 0 = a__U22(mark(X)) mark(isList(X)) = 0 >= 0 = a__isList(X) mark(U31(X)) = 0 >= 0 = a__U31(mark(X)) mark(U41(X1,X2)) = 0 >= 0 = a__U41(mark(X1),X2) mark(U42(X)) = X >= X = a__U42(mark(X)) mark(isNeList(X)) = 0 >= 0 = a__isNeList(X) mark(U51(X1,X2)) = 0 >= 0 = a__U51(mark(X1),X2) mark(U52(X)) = 0 >= 0 = a__U52(mark(X)) mark(U61(X)) = 1 >= 1 = a__U61(mark(X)) mark(U71(X1,X2)) = X1 + 1 >= X1 + 1 = a__U71(mark(X1),X2) mark(U72(X)) = X >= X = a__U72(mark(X)) mark(isPal(X)) = 1 >= 1 = a__isPal(X) mark(U81(X)) = 1 >= 1 = a__U81(mark(X)) mark(isQid(X)) = 0 >= 0 = a__isQid(X) mark(isNePal(X)) = 1 >= 1 = a__isNePal(X) mark(nil()) = 0 >= 0 = nil() mark(tt()) = 0 >= 0 = tt() mark(a()) = 0 >= 0 = a() mark(e()) = 0 >= 0 = e() mark(i()) = 0 >= 0 = i() mark(o()) = 0 >= 0 = o() mark(u()) = 0 >= 0 = u() a____(X1,X2) = X1 + X2 >= X1 + X2 = __(X1,X2) a__U11(X) = 0 >= 0 = U11(X) a__U21(X1,X2) = 0 >= 0 = U21(X1,X2) a__U22(X) = 0 >= 0 = U22(X) a__isList(X) = 0 >= 0 = isList(X) a__U31(X) = 0 >= 0 = U31(X) a__U41(X1,X2) = 0 >= 0 = U41(X1,X2) a__U42(X) = X >= X = U42(X) a__isNeList(X) = 0 >= 0 = isNeList(X) a__U51(X1,X2) = 0 >= 0 = U51(X1,X2) a__U52(X) = 0 >= 0 = U52(X) a__U61(X) = 1 >= 1 = U61(X) a__U71(X1,X2) = X1 + 1 >= X1 + 1 = U71(X1,X2) a__U72(X) = X >= X = U72(X) a__isPal(X) = 1 >= 1 = isPal(X) a__U81(X) = 1 >= 1 = U81(X) a__isQid(X) = 0 >= 0 = isQid(X) a__isNePal(X) = 1 >= 1 = isNePal(X) problem: DPs: mark#(U42(X)) -> mark#(X) TRS: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> tt() a__U21(tt(),V2) -> a__U22(a__isList(V2)) a__U22(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNeList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isList(V2)) a__U52(tt()) -> tt() a__U61(tt()) -> tt() a__U71(tt(),P) -> a__U72(a__isPal(P)) a__U72(tt()) -> tt() a__U81(tt()) -> tt() a__isList(V) -> a__U11(a__isNeList(V)) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2) a__isNeList(V) -> a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2) a__isNePal(V) -> a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P) a__isPal(V) -> a__U81(a__isNePal(V)) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(isList(X)) -> a__isList(X) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2)) -> a__U71(mark(X1),X2) mark(U72(X)) -> a__U72(mark(X)) mark(isPal(X)) -> a__isPal(X) mark(U81(X)) -> a__U81(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U21(X1,X2) -> U21(X1,X2) a__U22(X) -> U22(X) a__isList(X) -> isList(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNeList(X) -> isNeList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X1,X2) -> U71(X1,X2) a__U72(X) -> U72(X) a__isPal(X) -> isPal(X) a__U81(X) -> U81(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) Matrix Interpretation Processor: dimension: 1 interpretation: [mark#](x0) = x0 + 1, [isNePal](x0) = 0, [isQid](x0) = x0, [U81](x0) = 0, [isPal](x0) = 0, [U72](x0) = 0, [U71](x0, x1) = 0, [U61](x0) = 0, [U52](x0) = 0, [U51](x0, x1) = x0, [isNeList](x0) = x0, [U42](x0) = x0 + 1, [U41](x0, x1) = x1 + 1, [U31](x0) = x0, [isList](x0) = 0, [U22](x0) = 0, [U21](x0, x1) = 0, [U11](x0) = 0, [u] = 0, [o] = 0, [i] = 0, [e] = 0, [a] = 0, [a__isNePal](x0) = 0, [a__isQid](x0) = x0, [a__U81](x0) = 0, [a__U72](x0) = 0, [a__isPal](x0) = 0, [a__U71](x0, x1) = 0, [a__U61](x0) = 0, [a__U52](x0) = 0, [a__U51](x0, x1) = x0, [a__U42](x0) = x0 + 1, [a__isNeList](x0) = x0, [a__U41](x0, x1) = x1 + 1, [a__U31](x0) = x0, [a__U22](x0) = 0, [a__isList](x0) = 0, [a__U21](x0, x1) = 0, [a__U11](x0) = 0, [tt] = 0, [nil] = 0, [mark](x0) = x0, [a____](x0, x1) = x0 + x1 + 1, [__](x0, x1) = x0 + x1 + 1 orientation: mark#(U42(X)) = X + 2 >= X + 1 = mark#(X) a____(__(X,Y),Z) = X + Y + Z + 2 >= X + Y + Z + 2 = a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) = X + 1 >= X = mark(X) a____(nil(),X) = X + 1 >= X = mark(X) a__U11(tt()) = 0 >= 0 = tt() a__U21(tt(),V2) = 0 >= 0 = a__U22(a__isList(V2)) a__U22(tt()) = 0 >= 0 = tt() a__U31(tt()) = 0 >= 0 = tt() a__U41(tt(),V2) = V2 + 1 >= V2 + 1 = a__U42(a__isNeList(V2)) a__U42(tt()) = 1 >= 0 = tt() a__U51(tt(),V2) = 0 >= 0 = a__U52(a__isList(V2)) a__U52(tt()) = 0 >= 0 = tt() a__U61(tt()) = 0 >= 0 = tt() a__U71(tt(),P) = 0 >= 0 = a__U72(a__isPal(P)) a__U72(tt()) = 0 >= 0 = tt() a__U81(tt()) = 0 >= 0 = tt() a__isList(V) = 0 >= 0 = a__U11(a__isNeList(V)) a__isList(nil()) = 0 >= 0 = tt() a__isList(__(V1,V2)) = 0 >= 0 = a__U21(a__isList(V1),V2) a__isNeList(V) = V >= V = a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) = V1 + V2 + 1 >= V2 + 1 = a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) = V1 + V2 + 1 >= V1 = a__U51(a__isNeList(V1),V2) a__isNePal(V) = 0 >= 0 = a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) = 0 >= 0 = a__U71(a__isQid(I),P) a__isPal(V) = 0 >= 0 = a__U81(a__isNePal(V)) a__isPal(nil()) = 0 >= 0 = tt() a__isQid(a()) = 0 >= 0 = tt() a__isQid(e()) = 0 >= 0 = tt() a__isQid(i()) = 0 >= 0 = tt() a__isQid(o()) = 0 >= 0 = tt() a__isQid(u()) = 0 >= 0 = tt() mark(__(X1,X2)) = X1 + X2 + 1 >= X1 + X2 + 1 = a____(mark(X1),mark(X2)) mark(U11(X)) = 0 >= 0 = a__U11(mark(X)) mark(U21(X1,X2)) = 0 >= 0 = a__U21(mark(X1),X2) mark(U22(X)) = 0 >= 0 = a__U22(mark(X)) mark(isList(X)) = 0 >= 0 = a__isList(X) mark(U31(X)) = X >= X = a__U31(mark(X)) mark(U41(X1,X2)) = X2 + 1 >= X2 + 1 = a__U41(mark(X1),X2) mark(U42(X)) = X + 1 >= X + 1 = a__U42(mark(X)) mark(isNeList(X)) = X >= X = a__isNeList(X) mark(U51(X1,X2)) = X1 >= X1 = a__U51(mark(X1),X2) mark(U52(X)) = 0 >= 0 = a__U52(mark(X)) mark(U61(X)) = 0 >= 0 = a__U61(mark(X)) mark(U71(X1,X2)) = 0 >= 0 = a__U71(mark(X1),X2) mark(U72(X)) = 0 >= 0 = a__U72(mark(X)) mark(isPal(X)) = 0 >= 0 = a__isPal(X) mark(U81(X)) = 0 >= 0 = a__U81(mark(X)) mark(isQid(X)) = X >= X = a__isQid(X) mark(isNePal(X)) = 0 >= 0 = a__isNePal(X) mark(nil()) = 0 >= 0 = nil() mark(tt()) = 0 >= 0 = tt() mark(a()) = 0 >= 0 = a() mark(e()) = 0 >= 0 = e() mark(i()) = 0 >= 0 = i() mark(o()) = 0 >= 0 = o() mark(u()) = 0 >= 0 = u() a____(X1,X2) = X1 + X2 + 1 >= X1 + X2 + 1 = __(X1,X2) a__U11(X) = 0 >= 0 = U11(X) a__U21(X1,X2) = 0 >= 0 = U21(X1,X2) a__U22(X) = 0 >= 0 = U22(X) a__isList(X) = 0 >= 0 = isList(X) a__U31(X) = X >= X = U31(X) a__U41(X1,X2) = X2 + 1 >= X2 + 1 = U41(X1,X2) a__U42(X) = X + 1 >= X + 1 = U42(X) a__isNeList(X) = X >= X = isNeList(X) a__U51(X1,X2) = X1 >= X1 = U51(X1,X2) a__U52(X) = 0 >= 0 = U52(X) a__U61(X) = 0 >= 0 = U61(X) a__U71(X1,X2) = 0 >= 0 = U71(X1,X2) a__U72(X) = 0 >= 0 = U72(X) a__isPal(X) = 0 >= 0 = isPal(X) a__U81(X) = 0 >= 0 = U81(X) a__isQid(X) = X >= X = isQid(X) a__isNePal(X) = 0 >= 0 = isNePal(X) problem: DPs: TRS: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> tt() a__U21(tt(),V2) -> a__U22(a__isList(V2)) a__U22(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNeList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isList(V2)) a__U52(tt()) -> tt() a__U61(tt()) -> tt() a__U71(tt(),P) -> a__U72(a__isPal(P)) a__U72(tt()) -> tt() a__U81(tt()) -> tt() a__isList(V) -> a__U11(a__isNeList(V)) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2) a__isNeList(V) -> a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2) a__isNePal(V) -> a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P) a__isPal(V) -> a__U81(a__isNePal(V)) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(isList(X)) -> a__isList(X) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2)) -> a__U71(mark(X1),X2) mark(U72(X)) -> a__U72(mark(X)) mark(isPal(X)) -> a__isPal(X) mark(U81(X)) -> a__U81(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U21(X1,X2) -> U21(X1,X2) a__U22(X) -> U22(X) a__isList(X) -> isList(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNeList(X) -> isNeList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X1,X2) -> U71(X1,X2) a__U72(X) -> U72(X) a__isPal(X) -> isPal(X) a__U81(X) -> U81(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) Qed DPs: a__U51#(tt(),V2) -> a__isList#(V2) a__isList#(V) -> a__isNeList#(V) a__isNeList#(__(V1,V2)) -> a__isList#(V1) a__isList#(__(V1,V2)) -> a__isList#(V1) a__isList#(__(V1,V2)) -> a__U21#(a__isList(V1),V2) a__U21#(tt(),V2) -> a__isList#(V2) a__isNeList#(__(V1,V2)) -> a__U41#(a__isList(V1),V2) a__U41#(tt(),V2) -> a__isNeList#(V2) a__isNeList#(__(V1,V2)) -> a__isNeList#(V1) a__isNeList#(__(V1,V2)) -> a__U51#(a__isNeList(V1),V2) TRS: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> tt() a__U21(tt(),V2) -> a__U22(a__isList(V2)) a__U22(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNeList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isList(V2)) a__U52(tt()) -> tt() a__U61(tt()) -> tt() a__U71(tt(),P) -> a__U72(a__isPal(P)) a__U72(tt()) -> tt() a__U81(tt()) -> tt() a__isList(V) -> a__U11(a__isNeList(V)) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2) a__isNeList(V) -> a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2) a__isNePal(V) -> a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P) a__isPal(V) -> a__U81(a__isNePal(V)) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(isList(X)) -> a__isList(X) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2)) -> a__U71(mark(X1),X2) mark(U72(X)) -> a__U72(mark(X)) mark(isPal(X)) -> a__isPal(X) mark(U81(X)) -> a__U81(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U21(X1,X2) -> U21(X1,X2) a__U22(X) -> U22(X) a__isList(X) -> isList(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNeList(X) -> isNeList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X1,X2) -> U71(X1,X2) a__U72(X) -> U72(X) a__isPal(X) -> isPal(X) a__U81(X) -> U81(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) Matrix Interpretation Processor: dimension: 1 interpretation: [a__U51#](x0, x1) = x0 + x1 + 1, [a__isNeList#](x0) = x0, [a__U41#](x0, x1) = x0 + x1 + 1, [a__isList#](x0) = x0 + 1, [a__U21#](x0, x1) = x0 + x1, [isNePal](x0) = x0, [isQid](x0) = x0, [U81](x0) = 1, [isPal](x0) = 1, [U72](x0) = 1, [U71](x0, x1) = 1, [U61](x0) = x0, [U52](x0) = 1, [U51](x0, x1) = 1, [isNeList](x0) = x0, [U42](x0) = 1, [U41](x0, x1) = 1, [U31](x0) = x0, [isList](x0) = x0, [U22](x0) = 1, [U21](x0, x1) = 1, [U11](x0) = x0, [u] = 1, [o] = 1, [i] = 1, [e] = 1, [a] = 1, [a__isNePal](x0) = x0, [a__isQid](x0) = x0, [a__U81](x0) = 1, [a__U72](x0) = 1, [a__isPal](x0) = 1, [a__U71](x0, x1) = 1, [a__U61](x0) = x0, [a__U52](x0) = 1, [a__U51](x0, x1) = 1, [a__U42](x0) = 1, [a__isNeList](x0) = x0, [a__U41](x0, x1) = 1, [a__U31](x0) = x0, [a__U22](x0) = 1, [a__isList](x0) = x0, [a__U21](x0, x1) = 1, [a__U11](x0) = x0, [tt] = 1, [nil] = 1, [mark](x0) = x0, [a____](x0, x1) = x0 + x1 + 1, [__](x0, x1) = x0 + x1 + 1 orientation: a__U51#(tt(),V2) = V2 + 2 >= V2 + 1 = a__isList#(V2) a__isList#(V) = V + 1 >= V = a__isNeList#(V) a__isNeList#(__(V1,V2)) = V1 + V2 + 1 >= V1 + 1 = a__isList#(V1) a__isList#(__(V1,V2)) = V1 + V2 + 2 >= V1 + 1 = a__isList#(V1) a__isList#(__(V1,V2)) = V1 + V2 + 2 >= V1 + V2 = a__U21#(a__isList(V1),V2) a__U21#(tt(),V2) = V2 + 1 >= V2 + 1 = a__isList#(V2) a__isNeList#(__(V1,V2)) = V1 + V2 + 1 >= V1 + V2 + 1 = a__U41#(a__isList(V1),V2) a__U41#(tt(),V2) = V2 + 2 >= V2 = a__isNeList#(V2) a__isNeList#(__(V1,V2)) = V1 + V2 + 1 >= V1 = a__isNeList#(V1) a__isNeList#(__(V1,V2)) = V1 + V2 + 1 >= V1 + V2 + 1 = a__U51#(a__isNeList(V1),V2) a____(__(X,Y),Z) = X + Y + Z + 2 >= X + Y + Z + 2 = a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) = X + 2 >= X = mark(X) a____(nil(),X) = X + 2 >= X = mark(X) a__U11(tt()) = 1 >= 1 = tt() a__U21(tt(),V2) = 1 >= 1 = a__U22(a__isList(V2)) a__U22(tt()) = 1 >= 1 = tt() a__U31(tt()) = 1 >= 1 = tt() a__U41(tt(),V2) = 1 >= 1 = a__U42(a__isNeList(V2)) a__U42(tt()) = 1 >= 1 = tt() a__U51(tt(),V2) = 1 >= 1 = a__U52(a__isList(V2)) a__U52(tt()) = 1 >= 1 = tt() a__U61(tt()) = 1 >= 1 = tt() a__U71(tt(),P) = 1 >= 1 = a__U72(a__isPal(P)) a__U72(tt()) = 1 >= 1 = tt() a__U81(tt()) = 1 >= 1 = tt() a__isList(V) = V >= V = a__U11(a__isNeList(V)) a__isList(nil()) = 1 >= 1 = tt() a__isList(__(V1,V2)) = V1 + V2 + 1 >= 1 = a__U21(a__isList(V1),V2) a__isNeList(V) = V >= V = a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) = V1 + V2 + 1 >= 1 = a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) = V1 + V2 + 1 >= 1 = a__U51(a__isNeList(V1),V2) a__isNePal(V) = V >= V = a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) = 2I + P + 2 >= 1 = a__U71(a__isQid(I),P) a__isPal(V) = 1 >= 1 = a__U81(a__isNePal(V)) a__isPal(nil()) = 1 >= 1 = tt() a__isQid(a()) = 1 >= 1 = tt() a__isQid(e()) = 1 >= 1 = tt() a__isQid(i()) = 1 >= 1 = tt() a__isQid(o()) = 1 >= 1 = tt() a__isQid(u()) = 1 >= 1 = tt() mark(__(X1,X2)) = X1 + X2 + 1 >= X1 + X2 + 1 = a____(mark(X1),mark(X2)) mark(U11(X)) = X >= X = a__U11(mark(X)) mark(U21(X1,X2)) = 1 >= 1 = a__U21(mark(X1),X2) mark(U22(X)) = 1 >= 1 = a__U22(mark(X)) mark(isList(X)) = X >= X = a__isList(X) mark(U31(X)) = X >= X = a__U31(mark(X)) mark(U41(X1,X2)) = 1 >= 1 = a__U41(mark(X1),X2) mark(U42(X)) = 1 >= 1 = a__U42(mark(X)) mark(isNeList(X)) = X >= X = a__isNeList(X) mark(U51(X1,X2)) = 1 >= 1 = a__U51(mark(X1),X2) mark(U52(X)) = 1 >= 1 = a__U52(mark(X)) mark(U61(X)) = X >= X = a__U61(mark(X)) mark(U71(X1,X2)) = 1 >= 1 = a__U71(mark(X1),X2) mark(U72(X)) = 1 >= 1 = a__U72(mark(X)) mark(isPal(X)) = 1 >= 1 = a__isPal(X) mark(U81(X)) = 1 >= 1 = a__U81(mark(X)) mark(isQid(X)) = X >= X = a__isQid(X) mark(isNePal(X)) = X >= X = a__isNePal(X) mark(nil()) = 1 >= 1 = nil() mark(tt()) = 1 >= 1 = tt() mark(a()) = 1 >= 1 = a() mark(e()) = 1 >= 1 = e() mark(i()) = 1 >= 1 = i() mark(o()) = 1 >= 1 = o() mark(u()) = 1 >= 1 = u() a____(X1,X2) = X1 + X2 + 1 >= X1 + X2 + 1 = __(X1,X2) a__U11(X) = X >= X = U11(X) a__U21(X1,X2) = 1 >= 1 = U21(X1,X2) a__U22(X) = 1 >= 1 = U22(X) a__isList(X) = X >= X = isList(X) a__U31(X) = X >= X = U31(X) a__U41(X1,X2) = 1 >= 1 = U41(X1,X2) a__U42(X) = 1 >= 1 = U42(X) a__isNeList(X) = X >= X = isNeList(X) a__U51(X1,X2) = 1 >= 1 = U51(X1,X2) a__U52(X) = 1 >= 1 = U52(X) a__U61(X) = X >= X = U61(X) a__U71(X1,X2) = 1 >= 1 = U71(X1,X2) a__U72(X) = 1 >= 1 = U72(X) a__isPal(X) = 1 >= 1 = isPal(X) a__U81(X) = 1 >= 1 = U81(X) a__isQid(X) = X >= X = isQid(X) a__isNePal(X) = X >= X = isNePal(X) problem: DPs: a__isNeList#(__(V1,V2)) -> a__isList#(V1) a__U21#(tt(),V2) -> a__isList#(V2) a__isNeList#(__(V1,V2)) -> a__U41#(a__isList(V1),V2) a__isNeList#(__(V1,V2)) -> a__U51#(a__isNeList(V1),V2) TRS: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> tt() a__U21(tt(),V2) -> a__U22(a__isList(V2)) a__U22(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNeList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isList(V2)) a__U52(tt()) -> tt() a__U61(tt()) -> tt() a__U71(tt(),P) -> a__U72(a__isPal(P)) a__U72(tt()) -> tt() a__U81(tt()) -> tt() a__isList(V) -> a__U11(a__isNeList(V)) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2) a__isNeList(V) -> a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2) a__isNePal(V) -> a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P) a__isPal(V) -> a__U81(a__isNePal(V)) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(isList(X)) -> a__isList(X) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2)) -> a__U71(mark(X1),X2) mark(U72(X)) -> a__U72(mark(X)) mark(isPal(X)) -> a__isPal(X) mark(U81(X)) -> a__U81(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U21(X1,X2) -> U21(X1,X2) a__U22(X) -> U22(X) a__isList(X) -> isList(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNeList(X) -> isNeList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X1,X2) -> U71(X1,X2) a__U72(X) -> U72(X) a__isPal(X) -> isPal(X) a__U81(X) -> U81(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) Matrix Interpretation Processor: dimension: 1 interpretation: [a__U51#](x0, x1) = x0 + x1, [a__isNeList#](x0) = x0 + 1, [a__U41#](x0, x1) = x0 + x1, [a__isList#](x0) = x0, [a__U21#](x0, x1) = x0 + x1 + 1, [isNePal](x0) = 1, [isQid](x0) = x0, [U81](x0) = 1, [isPal](x0) = 1, [U72](x0) = 1, [U71](x0, x1) = 1, [U61](x0) = 1, [U52](x0) = 1, [U51](x0, x1) = 1, [isNeList](x0) = x0, [U42](x0) = 1, [U41](x0, x1) = 1, [U31](x0) = x0, [isList](x0) = x0, [U22](x0) = 1, [U21](x0, x1) = 1, [U11](x0) = x0, [u] = 1, [o] = 1, [i] = 1, [e] = 1, [a] = 1, [a__isNePal](x0) = 1, [a__isQid](x0) = x0, [a__U81](x0) = 1, [a__U72](x0) = 1, [a__isPal](x0) = 1, [a__U71](x0, x1) = 1, [a__U61](x0) = 1, [a__U52](x0) = 1, [a__U51](x0, x1) = 1, [a__U42](x0) = 1, [a__isNeList](x0) = x0, [a__U41](x0, x1) = 1, [a__U31](x0) = x0, [a__U22](x0) = 1, [a__isList](x0) = x0, [a__U21](x0, x1) = 1, [a__U11](x0) = x0, [tt] = 1, [nil] = 1, [mark](x0) = x0, [a____](x0, x1) = x0 + x1 + 1, [__](x0, x1) = x0 + x1 + 1 orientation: a__isNeList#(__(V1,V2)) = V1 + V2 + 2 >= V1 = a__isList#(V1) a__U21#(tt(),V2) = V2 + 2 >= V2 = a__isList#(V2) a__isNeList#(__(V1,V2)) = V1 + V2 + 2 >= V1 + V2 = a__U41#(a__isList(V1),V2) a__isNeList#(__(V1,V2)) = V1 + V2 + 2 >= V1 + V2 = a__U51#(a__isNeList(V1),V2) a____(__(X,Y),Z) = X + Y + Z + 2 >= X + Y + Z + 2 = a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) = X + 2 >= X = mark(X) a____(nil(),X) = X + 2 >= X = mark(X) a__U11(tt()) = 1 >= 1 = tt() a__U21(tt(),V2) = 1 >= 1 = a__U22(a__isList(V2)) a__U22(tt()) = 1 >= 1 = tt() a__U31(tt()) = 1 >= 1 = tt() a__U41(tt(),V2) = 1 >= 1 = a__U42(a__isNeList(V2)) a__U42(tt()) = 1 >= 1 = tt() a__U51(tt(),V2) = 1 >= 1 = a__U52(a__isList(V2)) a__U52(tt()) = 1 >= 1 = tt() a__U61(tt()) = 1 >= 1 = tt() a__U71(tt(),P) = 1 >= 1 = a__U72(a__isPal(P)) a__U72(tt()) = 1 >= 1 = tt() a__U81(tt()) = 1 >= 1 = tt() a__isList(V) = V >= V = a__U11(a__isNeList(V)) a__isList(nil()) = 1 >= 1 = tt() a__isList(__(V1,V2)) = V1 + V2 + 1 >= 1 = a__U21(a__isList(V1),V2) a__isNeList(V) = V >= V = a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) = V1 + V2 + 1 >= 1 = a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) = V1 + V2 + 1 >= 1 = a__U51(a__isNeList(V1),V2) a__isNePal(V) = 1 >= 1 = a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) = 1 >= 1 = a__U71(a__isQid(I),P) a__isPal(V) = 1 >= 1 = a__U81(a__isNePal(V)) a__isPal(nil()) = 1 >= 1 = tt() a__isQid(a()) = 1 >= 1 = tt() a__isQid(e()) = 1 >= 1 = tt() a__isQid(i()) = 1 >= 1 = tt() a__isQid(o()) = 1 >= 1 = tt() a__isQid(u()) = 1 >= 1 = tt() mark(__(X1,X2)) = X1 + X2 + 1 >= X1 + X2 + 1 = a____(mark(X1),mark(X2)) mark(U11(X)) = X >= X = a__U11(mark(X)) mark(U21(X1,X2)) = 1 >= 1 = a__U21(mark(X1),X2) mark(U22(X)) = 1 >= 1 = a__U22(mark(X)) mark(isList(X)) = X >= X = a__isList(X) mark(U31(X)) = X >= X = a__U31(mark(X)) mark(U41(X1,X2)) = 1 >= 1 = a__U41(mark(X1),X2) mark(U42(X)) = 1 >= 1 = a__U42(mark(X)) mark(isNeList(X)) = X >= X = a__isNeList(X) mark(U51(X1,X2)) = 1 >= 1 = a__U51(mark(X1),X2) mark(U52(X)) = 1 >= 1 = a__U52(mark(X)) mark(U61(X)) = 1 >= 1 = a__U61(mark(X)) mark(U71(X1,X2)) = 1 >= 1 = a__U71(mark(X1),X2) mark(U72(X)) = 1 >= 1 = a__U72(mark(X)) mark(isPal(X)) = 1 >= 1 = a__isPal(X) mark(U81(X)) = 1 >= 1 = a__U81(mark(X)) mark(isQid(X)) = X >= X = a__isQid(X) mark(isNePal(X)) = 1 >= 1 = a__isNePal(X) mark(nil()) = 1 >= 1 = nil() mark(tt()) = 1 >= 1 = tt() mark(a()) = 1 >= 1 = a() mark(e()) = 1 >= 1 = e() mark(i()) = 1 >= 1 = i() mark(o()) = 1 >= 1 = o() mark(u()) = 1 >= 1 = u() a____(X1,X2) = X1 + X2 + 1 >= X1 + X2 + 1 = __(X1,X2) a__U11(X) = X >= X = U11(X) a__U21(X1,X2) = 1 >= 1 = U21(X1,X2) a__U22(X) = 1 >= 1 = U22(X) a__isList(X) = X >= X = isList(X) a__U31(X) = X >= X = U31(X) a__U41(X1,X2) = 1 >= 1 = U41(X1,X2) a__U42(X) = 1 >= 1 = U42(X) a__isNeList(X) = X >= X = isNeList(X) a__U51(X1,X2) = 1 >= 1 = U51(X1,X2) a__U52(X) = 1 >= 1 = U52(X) a__U61(X) = 1 >= 1 = U61(X) a__U71(X1,X2) = 1 >= 1 = U71(X1,X2) a__U72(X) = 1 >= 1 = U72(X) a__isPal(X) = 1 >= 1 = isPal(X) a__U81(X) = 1 >= 1 = U81(X) a__isQid(X) = X >= X = isQid(X) a__isNePal(X) = 1 >= 1 = isNePal(X) problem: DPs: TRS: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> tt() a__U21(tt(),V2) -> a__U22(a__isList(V2)) a__U22(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNeList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isList(V2)) a__U52(tt()) -> tt() a__U61(tt()) -> tt() a__U71(tt(),P) -> a__U72(a__isPal(P)) a__U72(tt()) -> tt() a__U81(tt()) -> tt() a__isList(V) -> a__U11(a__isNeList(V)) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2) a__isNeList(V) -> a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2) a__isNePal(V) -> a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P) a__isPal(V) -> a__U81(a__isNePal(V)) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(isList(X)) -> a__isList(X) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2)) -> a__U71(mark(X1),X2) mark(U72(X)) -> a__U72(mark(X)) mark(isPal(X)) -> a__isPal(X) mark(U81(X)) -> a__U81(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U21(X1,X2) -> U21(X1,X2) a__U22(X) -> U22(X) a__isList(X) -> isList(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNeList(X) -> isNeList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X1,X2) -> U71(X1,X2) a__U72(X) -> U72(X) a__isPal(X) -> isPal(X) a__U81(X) -> U81(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) Qed DPs: a__isNePal#(__(I,__(P,I))) -> a__U71#(a__isQid(I),P) a__U71#(tt(),P) -> a__isPal#(P) a__isPal#(V) -> a__isNePal#(V) TRS: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> tt() a__U21(tt(),V2) -> a__U22(a__isList(V2)) a__U22(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNeList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isList(V2)) a__U52(tt()) -> tt() a__U61(tt()) -> tt() a__U71(tt(),P) -> a__U72(a__isPal(P)) a__U72(tt()) -> tt() a__U81(tt()) -> tt() a__isList(V) -> a__U11(a__isNeList(V)) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2) a__isNeList(V) -> a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2) a__isNePal(V) -> a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P) a__isPal(V) -> a__U81(a__isNePal(V)) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(isList(X)) -> a__isList(X) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2)) -> a__U71(mark(X1),X2) mark(U72(X)) -> a__U72(mark(X)) mark(isPal(X)) -> a__isPal(X) mark(U81(X)) -> a__U81(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U21(X1,X2) -> U21(X1,X2) a__U22(X) -> U22(X) a__isList(X) -> isList(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNeList(X) -> isNeList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X1,X2) -> U71(X1,X2) a__U72(X) -> U72(X) a__isPal(X) -> isPal(X) a__U81(X) -> U81(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) Matrix Interpretation Processor: dimension: 1 interpretation: [a__isNePal#](x0) = x0 + 1, [a__isPal#](x0) = x0 + 1, [a__U71#](x0, x1) = x0 + x1 + 1, [isNePal](x0) = x0, [isQid](x0) = x0, [U81](x0) = x0, [isPal](x0) = x0, [U72](x0) = x0, [U71](x0, x1) = x1, [U61](x0) = x0, [U52](x0) = 1, [U51](x0, x1) = 1, [isNeList](x0) = 1, [U42](x0) = x0, [U41](x0, x1) = x0, [U31](x0) = 1, [isList](x0) = 1, [U22](x0) = 1, [U21](x0, x1) = 1, [U11](x0) = x0, [u] = 1, [o] = 1, [i] = 1, [e] = 1, [a] = 1, [a__isNePal](x0) = x0, [a__isQid](x0) = x0, [a__U81](x0) = x0, [a__U72](x0) = x0, [a__isPal](x0) = x0, [a__U71](x0, x1) = x1, [a__U61](x0) = x0, [a__U52](x0) = 1, [a__U51](x0, x1) = 1, [a__U42](x0) = x0, [a__isNeList](x0) = 1, [a__U41](x0, x1) = x0, [a__U31](x0) = 1, [a__U22](x0) = 1, [a__isList](x0) = 1, [a__U21](x0, x1) = 1, [a__U11](x0) = x0, [tt] = 1, [nil] = 1, [mark](x0) = x0, [a____](x0, x1) = x0 + x1, [__](x0, x1) = x0 + x1 orientation: a__isNePal#(__(I,__(P,I))) = 2I + P + 1 >= I + P + 1 = a__U71#(a__isQid(I),P) a__U71#(tt(),P) = P + 2 >= P + 1 = a__isPal#(P) a__isPal#(V) = V + 1 >= V + 1 = a__isNePal#(V) a____(__(X,Y),Z) = X + Y + Z >= X + Y + Z = a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) = X + 1 >= X = mark(X) a____(nil(),X) = X + 1 >= X = mark(X) a__U11(tt()) = 1 >= 1 = tt() a__U21(tt(),V2) = 1 >= 1 = a__U22(a__isList(V2)) a__U22(tt()) = 1 >= 1 = tt() a__U31(tt()) = 1 >= 1 = tt() a__U41(tt(),V2) = 1 >= 1 = a__U42(a__isNeList(V2)) a__U42(tt()) = 1 >= 1 = tt() a__U51(tt(),V2) = 1 >= 1 = a__U52(a__isList(V2)) a__U52(tt()) = 1 >= 1 = tt() a__U61(tt()) = 1 >= 1 = tt() a__U71(tt(),P) = P >= P = a__U72(a__isPal(P)) a__U72(tt()) = 1 >= 1 = tt() a__U81(tt()) = 1 >= 1 = tt() a__isList(V) = 1 >= 1 = a__U11(a__isNeList(V)) a__isList(nil()) = 1 >= 1 = tt() a__isList(__(V1,V2)) = 1 >= 1 = a__U21(a__isList(V1),V2) a__isNeList(V) = 1 >= 1 = a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) = 1 >= 1 = a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) = 1 >= 1 = a__U51(a__isNeList(V1),V2) a__isNePal(V) = V >= V = a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) = 2I + P >= P = a__U71(a__isQid(I),P) a__isPal(V) = V >= V = a__U81(a__isNePal(V)) a__isPal(nil()) = 1 >= 1 = tt() a__isQid(a()) = 1 >= 1 = tt() a__isQid(e()) = 1 >= 1 = tt() a__isQid(i()) = 1 >= 1 = tt() a__isQid(o()) = 1 >= 1 = tt() a__isQid(u()) = 1 >= 1 = tt() mark(__(X1,X2)) = X1 + X2 >= X1 + X2 = a____(mark(X1),mark(X2)) mark(U11(X)) = X >= X = a__U11(mark(X)) mark(U21(X1,X2)) = 1 >= 1 = a__U21(mark(X1),X2) mark(U22(X)) = 1 >= 1 = a__U22(mark(X)) mark(isList(X)) = 1 >= 1 = a__isList(X) mark(U31(X)) = 1 >= 1 = a__U31(mark(X)) mark(U41(X1,X2)) = X1 >= X1 = a__U41(mark(X1),X2) mark(U42(X)) = X >= X = a__U42(mark(X)) mark(isNeList(X)) = 1 >= 1 = a__isNeList(X) mark(U51(X1,X2)) = 1 >= 1 = a__U51(mark(X1),X2) mark(U52(X)) = 1 >= 1 = a__U52(mark(X)) mark(U61(X)) = X >= X = a__U61(mark(X)) mark(U71(X1,X2)) = X2 >= X2 = a__U71(mark(X1),X2) mark(U72(X)) = X >= X = a__U72(mark(X)) mark(isPal(X)) = X >= X = a__isPal(X) mark(U81(X)) = X >= X = a__U81(mark(X)) mark(isQid(X)) = X >= X = a__isQid(X) mark(isNePal(X)) = X >= X = a__isNePal(X) mark(nil()) = 1 >= 1 = nil() mark(tt()) = 1 >= 1 = tt() mark(a()) = 1 >= 1 = a() mark(e()) = 1 >= 1 = e() mark(i()) = 1 >= 1 = i() mark(o()) = 1 >= 1 = o() mark(u()) = 1 >= 1 = u() a____(X1,X2) = X1 + X2 >= X1 + X2 = __(X1,X2) a__U11(X) = X >= X = U11(X) a__U21(X1,X2) = 1 >= 1 = U21(X1,X2) a__U22(X) = 1 >= 1 = U22(X) a__isList(X) = 1 >= 1 = isList(X) a__U31(X) = 1 >= 1 = U31(X) a__U41(X1,X2) = X1 >= X1 = U41(X1,X2) a__U42(X) = X >= X = U42(X) a__isNeList(X) = 1 >= 1 = isNeList(X) a__U51(X1,X2) = 1 >= 1 = U51(X1,X2) a__U52(X) = 1 >= 1 = U52(X) a__U61(X) = X >= X = U61(X) a__U71(X1,X2) = X2 >= X2 = U71(X1,X2) a__U72(X) = X >= X = U72(X) a__isPal(X) = X >= X = isPal(X) a__U81(X) = X >= X = U81(X) a__isQid(X) = X >= X = isQid(X) a__isNePal(X) = X >= X = isNePal(X) problem: DPs: a__isNePal#(__(I,__(P,I))) -> a__U71#(a__isQid(I),P) a__isPal#(V) -> a__isNePal#(V) TRS: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> tt() a__U21(tt(),V2) -> a__U22(a__isList(V2)) a__U22(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNeList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isList(V2)) a__U52(tt()) -> tt() a__U61(tt()) -> tt() a__U71(tt(),P) -> a__U72(a__isPal(P)) a__U72(tt()) -> tt() a__U81(tt()) -> tt() a__isList(V) -> a__U11(a__isNeList(V)) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2) a__isNeList(V) -> a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2) a__isNePal(V) -> a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P) a__isPal(V) -> a__U81(a__isNePal(V)) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(isList(X)) -> a__isList(X) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2)) -> a__U71(mark(X1),X2) mark(U72(X)) -> a__U72(mark(X)) mark(isPal(X)) -> a__isPal(X) mark(U81(X)) -> a__U81(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U21(X1,X2) -> U21(X1,X2) a__U22(X) -> U22(X) a__isList(X) -> isList(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNeList(X) -> isNeList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X1,X2) -> U71(X1,X2) a__U72(X) -> U72(X) a__isPal(X) -> isPal(X) a__U81(X) -> U81(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) Matrix Interpretation Processor: dimension: 1 interpretation: [a__isNePal#](x0) = 0, [a__isPal#](x0) = 1, [a__U71#](x0, x1) = 0, [isNePal](x0) = 1, [isQid](x0) = 1, [U81](x0) = 1, [isPal](x0) = 1, [U72](x0) = 1, [U71](x0, x1) = x0, [U61](x0) = 1, [U52](x0) = 1, [U51](x0, x1) = 1, [isNeList](x0) = 1, [U42](x0) = 1, [U41](x0, x1) = 1, [U31](x0) = 1, [isList](x0) = 1, [U22](x0) = 1, [U21](x0, x1) = 1, [U11](x0) = 1, [u] = 1, [o] = 1, [i] = 1, [e] = 1, [a] = 1, [a__isNePal](x0) = 1, [a__isQid](x0) = 1, [a__U81](x0) = 1, [a__U72](x0) = 1, [a__isPal](x0) = 1, [a__U71](x0, x1) = x0, [a__U61](x0) = 1, [a__U52](x0) = 1, [a__U51](x0, x1) = 1, [a__U42](x0) = 1, [a__isNeList](x0) = 1, [a__U41](x0, x1) = 1, [a__U31](x0) = 1, [a__U22](x0) = 1, [a__isList](x0) = 1, [a__U21](x0, x1) = 1, [a__U11](x0) = 1, [tt] = 1, [nil] = 1, [mark](x0) = 1, [a____](x0, x1) = 1, [__](x0, x1) = 1 orientation: a__isNePal#(__(I,__(P,I))) = 0 >= 0 = a__U71#(a__isQid(I),P) a__isPal#(V) = 1 >= 0 = a__isNePal#(V) a____(__(X,Y),Z) = 1 >= 1 = a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) = 1 >= 1 = mark(X) a____(nil(),X) = 1 >= 1 = mark(X) a__U11(tt()) = 1 >= 1 = tt() a__U21(tt(),V2) = 1 >= 1 = a__U22(a__isList(V2)) a__U22(tt()) = 1 >= 1 = tt() a__U31(tt()) = 1 >= 1 = tt() a__U41(tt(),V2) = 1 >= 1 = a__U42(a__isNeList(V2)) a__U42(tt()) = 1 >= 1 = tt() a__U51(tt(),V2) = 1 >= 1 = a__U52(a__isList(V2)) a__U52(tt()) = 1 >= 1 = tt() a__U61(tt()) = 1 >= 1 = tt() a__U71(tt(),P) = 1 >= 1 = a__U72(a__isPal(P)) a__U72(tt()) = 1 >= 1 = tt() a__U81(tt()) = 1 >= 1 = tt() a__isList(V) = 1 >= 1 = a__U11(a__isNeList(V)) a__isList(nil()) = 1 >= 1 = tt() a__isList(__(V1,V2)) = 1 >= 1 = a__U21(a__isList(V1),V2) a__isNeList(V) = 1 >= 1 = a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) = 1 >= 1 = a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) = 1 >= 1 = a__U51(a__isNeList(V1),V2) a__isNePal(V) = 1 >= 1 = a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) = 1 >= 1 = a__U71(a__isQid(I),P) a__isPal(V) = 1 >= 1 = a__U81(a__isNePal(V)) a__isPal(nil()) = 1 >= 1 = tt() a__isQid(a()) = 1 >= 1 = tt() a__isQid(e()) = 1 >= 1 = tt() a__isQid(i()) = 1 >= 1 = tt() a__isQid(o()) = 1 >= 1 = tt() a__isQid(u()) = 1 >= 1 = tt() mark(__(X1,X2)) = 1 >= 1 = a____(mark(X1),mark(X2)) mark(U11(X)) = 1 >= 1 = a__U11(mark(X)) mark(U21(X1,X2)) = 1 >= 1 = a__U21(mark(X1),X2) mark(U22(X)) = 1 >= 1 = a__U22(mark(X)) mark(isList(X)) = 1 >= 1 = a__isList(X) mark(U31(X)) = 1 >= 1 = a__U31(mark(X)) mark(U41(X1,X2)) = 1 >= 1 = a__U41(mark(X1),X2) mark(U42(X)) = 1 >= 1 = a__U42(mark(X)) mark(isNeList(X)) = 1 >= 1 = a__isNeList(X) mark(U51(X1,X2)) = 1 >= 1 = a__U51(mark(X1),X2) mark(U52(X)) = 1 >= 1 = a__U52(mark(X)) mark(U61(X)) = 1 >= 1 = a__U61(mark(X)) mark(U71(X1,X2)) = 1 >= 1 = a__U71(mark(X1),X2) mark(U72(X)) = 1 >= 1 = a__U72(mark(X)) mark(isPal(X)) = 1 >= 1 = a__isPal(X) mark(U81(X)) = 1 >= 1 = a__U81(mark(X)) mark(isQid(X)) = 1 >= 1 = a__isQid(X) mark(isNePal(X)) = 1 >= 1 = a__isNePal(X) mark(nil()) = 1 >= 1 = nil() mark(tt()) = 1 >= 1 = tt() mark(a()) = 1 >= 1 = a() mark(e()) = 1 >= 1 = e() mark(i()) = 1 >= 1 = i() mark(o()) = 1 >= 1 = o() mark(u()) = 1 >= 1 = u() a____(X1,X2) = 1 >= 1 = __(X1,X2) a__U11(X) = 1 >= 1 = U11(X) a__U21(X1,X2) = 1 >= 1 = U21(X1,X2) a__U22(X) = 1 >= 1 = U22(X) a__isList(X) = 1 >= 1 = isList(X) a__U31(X) = 1 >= 1 = U31(X) a__U41(X1,X2) = 1 >= 1 = U41(X1,X2) a__U42(X) = 1 >= 1 = U42(X) a__isNeList(X) = 1 >= 1 = isNeList(X) a__U51(X1,X2) = 1 >= 1 = U51(X1,X2) a__U52(X) = 1 >= 1 = U52(X) a__U61(X) = 1 >= 1 = U61(X) a__U71(X1,X2) = X1 >= X1 = U71(X1,X2) a__U72(X) = 1 >= 1 = U72(X) a__isPal(X) = 1 >= 1 = isPal(X) a__U81(X) = 1 >= 1 = U81(X) a__isQid(X) = 1 >= 1 = isQid(X) a__isNePal(X) = 1 >= 1 = isNePal(X) problem: DPs: a__isNePal#(__(I,__(P,I))) -> a__U71#(a__isQid(I),P) TRS: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> tt() a__U21(tt(),V2) -> a__U22(a__isList(V2)) a__U22(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNeList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isList(V2)) a__U52(tt()) -> tt() a__U61(tt()) -> tt() a__U71(tt(),P) -> a__U72(a__isPal(P)) a__U72(tt()) -> tt() a__U81(tt()) -> tt() a__isList(V) -> a__U11(a__isNeList(V)) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2) a__isNeList(V) -> a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2) a__isNePal(V) -> a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P) a__isPal(V) -> a__U81(a__isNePal(V)) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(isList(X)) -> a__isList(X) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2)) -> a__U71(mark(X1),X2) mark(U72(X)) -> a__U72(mark(X)) mark(isPal(X)) -> a__isPal(X) mark(U81(X)) -> a__U81(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U21(X1,X2) -> U21(X1,X2) a__U22(X) -> U22(X) a__isList(X) -> isList(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNeList(X) -> isNeList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X1,X2) -> U71(X1,X2) a__U72(X) -> U72(X) a__isPal(X) -> isPal(X) a__U81(X) -> U81(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) Matrix Interpretation Processor: dimension: 1 interpretation: [a__isNePal#](x0) = 1, [a__U71#](x0, x1) = 0, [isNePal](x0) = 0, [isQid](x0) = 0, [U81](x0) = 0, [isPal](x0) = 0, [U72](x0) = 0, [U71](x0, x1) = 0, [U61](x0) = 0, [U52](x0) = 0, [U51](x0, x1) = 0, [isNeList](x0) = 0, [U42](x0) = 0, [U41](x0, x1) = 0, [U31](x0) = 0, [isList](x0) = 0, [U22](x0) = 0, [U21](x0, x1) = 0, [U11](x0) = 0, [u] = 0, [o] = 0, [i] = 0, [e] = 0, [a] = 0, [a__isNePal](x0) = 0, [a__isQid](x0) = 0, [a__U81](x0) = 0, [a__U72](x0) = 0, [a__isPal](x0) = 0, [a__U71](x0, x1) = 0, [a__U61](x0) = 0, [a__U52](x0) = 0, [a__U51](x0, x1) = 0, [a__U42](x0) = 0, [a__isNeList](x0) = 0, [a__U41](x0, x1) = 0, [a__U31](x0) = 0, [a__U22](x0) = 0, [a__isList](x0) = 0, [a__U21](x0, x1) = 0, [a__U11](x0) = 0, [tt] = 0, [nil] = 0, [mark](x0) = 0, [a____](x0, x1) = 0, [__](x0, x1) = 0 orientation: a__isNePal#(__(I,__(P,I))) = 1 >= 0 = a__U71#(a__isQid(I),P) a____(__(X,Y),Z) = 0 >= 0 = a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) = 0 >= 0 = mark(X) a____(nil(),X) = 0 >= 0 = mark(X) a__U11(tt()) = 0 >= 0 = tt() a__U21(tt(),V2) = 0 >= 0 = a__U22(a__isList(V2)) a__U22(tt()) = 0 >= 0 = tt() a__U31(tt()) = 0 >= 0 = tt() a__U41(tt(),V2) = 0 >= 0 = a__U42(a__isNeList(V2)) a__U42(tt()) = 0 >= 0 = tt() a__U51(tt(),V2) = 0 >= 0 = a__U52(a__isList(V2)) a__U52(tt()) = 0 >= 0 = tt() a__U61(tt()) = 0 >= 0 = tt() a__U71(tt(),P) = 0 >= 0 = a__U72(a__isPal(P)) a__U72(tt()) = 0 >= 0 = tt() a__U81(tt()) = 0 >= 0 = tt() a__isList(V) = 0 >= 0 = a__U11(a__isNeList(V)) a__isList(nil()) = 0 >= 0 = tt() a__isList(__(V1,V2)) = 0 >= 0 = a__U21(a__isList(V1),V2) a__isNeList(V) = 0 >= 0 = a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) = 0 >= 0 = a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) = 0 >= 0 = a__U51(a__isNeList(V1),V2) a__isNePal(V) = 0 >= 0 = a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) = 0 >= 0 = a__U71(a__isQid(I),P) a__isPal(V) = 0 >= 0 = a__U81(a__isNePal(V)) a__isPal(nil()) = 0 >= 0 = tt() a__isQid(a()) = 0 >= 0 = tt() a__isQid(e()) = 0 >= 0 = tt() a__isQid(i()) = 0 >= 0 = tt() a__isQid(o()) = 0 >= 0 = tt() a__isQid(u()) = 0 >= 0 = tt() mark(__(X1,X2)) = 0 >= 0 = a____(mark(X1),mark(X2)) mark(U11(X)) = 0 >= 0 = a__U11(mark(X)) mark(U21(X1,X2)) = 0 >= 0 = a__U21(mark(X1),X2) mark(U22(X)) = 0 >= 0 = a__U22(mark(X)) mark(isList(X)) = 0 >= 0 = a__isList(X) mark(U31(X)) = 0 >= 0 = a__U31(mark(X)) mark(U41(X1,X2)) = 0 >= 0 = a__U41(mark(X1),X2) mark(U42(X)) = 0 >= 0 = a__U42(mark(X)) mark(isNeList(X)) = 0 >= 0 = a__isNeList(X) mark(U51(X1,X2)) = 0 >= 0 = a__U51(mark(X1),X2) mark(U52(X)) = 0 >= 0 = a__U52(mark(X)) mark(U61(X)) = 0 >= 0 = a__U61(mark(X)) mark(U71(X1,X2)) = 0 >= 0 = a__U71(mark(X1),X2) mark(U72(X)) = 0 >= 0 = a__U72(mark(X)) mark(isPal(X)) = 0 >= 0 = a__isPal(X) mark(U81(X)) = 0 >= 0 = a__U81(mark(X)) mark(isQid(X)) = 0 >= 0 = a__isQid(X) mark(isNePal(X)) = 0 >= 0 = a__isNePal(X) mark(nil()) = 0 >= 0 = nil() mark(tt()) = 0 >= 0 = tt() mark(a()) = 0 >= 0 = a() mark(e()) = 0 >= 0 = e() mark(i()) = 0 >= 0 = i() mark(o()) = 0 >= 0 = o() mark(u()) = 0 >= 0 = u() a____(X1,X2) = 0 >= 0 = __(X1,X2) a__U11(X) = 0 >= 0 = U11(X) a__U21(X1,X2) = 0 >= 0 = U21(X1,X2) a__U22(X) = 0 >= 0 = U22(X) a__isList(X) = 0 >= 0 = isList(X) a__U31(X) = 0 >= 0 = U31(X) a__U41(X1,X2) = 0 >= 0 = U41(X1,X2) a__U42(X) = 0 >= 0 = U42(X) a__isNeList(X) = 0 >= 0 = isNeList(X) a__U51(X1,X2) = 0 >= 0 = U51(X1,X2) a__U52(X) = 0 >= 0 = U52(X) a__U61(X) = 0 >= 0 = U61(X) a__U71(X1,X2) = 0 >= 0 = U71(X1,X2) a__U72(X) = 0 >= 0 = U72(X) a__isPal(X) = 0 >= 0 = isPal(X) a__U81(X) = 0 >= 0 = U81(X) a__isQid(X) = 0 >= 0 = isQid(X) a__isNePal(X) = 0 >= 0 = isNePal(X) problem: DPs: TRS: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> tt() a__U21(tt(),V2) -> a__U22(a__isList(V2)) a__U22(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNeList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isList(V2)) a__U52(tt()) -> tt() a__U61(tt()) -> tt() a__U71(tt(),P) -> a__U72(a__isPal(P)) a__U72(tt()) -> tt() a__U81(tt()) -> tt() a__isList(V) -> a__U11(a__isNeList(V)) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__U21(a__isList(V1),V2) a__isNeList(V) -> a__U31(a__isQid(V)) a__isNeList(__(V1,V2)) -> a__U41(a__isList(V1),V2) a__isNeList(__(V1,V2)) -> a__U51(a__isNeList(V1),V2) a__isNePal(V) -> a__U61(a__isQid(V)) a__isNePal(__(I,__(P,I))) -> a__U71(a__isQid(I),P) a__isPal(V) -> a__U81(a__isNePal(V)) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U21(X1,X2)) -> a__U21(mark(X1),X2) mark(U22(X)) -> a__U22(mark(X)) mark(isList(X)) -> a__isList(X) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(U61(X)) -> a__U61(mark(X)) mark(U71(X1,X2)) -> a__U71(mark(X1),X2) mark(U72(X)) -> a__U72(mark(X)) mark(isPal(X)) -> a__isPal(X) mark(U81(X)) -> a__U81(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U21(X1,X2) -> U21(X1,X2) a__U22(X) -> U22(X) a__isList(X) -> isList(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNeList(X) -> isNeList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__U61(X) -> U61(X) a__U71(X1,X2) -> U71(X1,X2) a__U72(X) -> U72(X) a__isPal(X) -> isPal(X) a__U81(X) -> U81(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) Qed