*** 1 Progress [(O(1),O(n^1))] ***
Considered Problem:
Strict DP Rules:
Strict TRS Rules:
U11(mark(X)) -> mark(U11(X))
U11(ok(X)) -> ok(U11(X))
U21(mark(X1),X2) -> mark(U21(X1,X2))
U21(ok(X1),ok(X2)) -> ok(U21(X1,X2))
U22(mark(X)) -> mark(U22(X))
U22(ok(X)) -> ok(U22(X))
U31(mark(X)) -> mark(U31(X))
U31(ok(X)) -> ok(U31(X))
U41(mark(X1),X2) -> mark(U41(X1,X2))
U41(ok(X1),ok(X2)) -> ok(U41(X1,X2))
U42(mark(X)) -> mark(U42(X))
U42(ok(X)) -> ok(U42(X))
U51(mark(X1),X2) -> mark(U51(X1,X2))
U51(ok(X1),ok(X2)) -> ok(U51(X1,X2))
U52(mark(X)) -> mark(U52(X))
U52(ok(X)) -> ok(U52(X))
U61(mark(X)) -> mark(U61(X))
U61(ok(X)) -> ok(U61(X))
U71(mark(X1),X2) -> mark(U71(X1,X2))
U71(ok(X1),ok(X2)) -> ok(U71(X1,X2))
U72(mark(X)) -> mark(U72(X))
U72(ok(X)) -> ok(U72(X))
U81(mark(X)) -> mark(U81(X))
U81(ok(X)) -> ok(U81(X))
__(X1,mark(X2)) -> mark(__(X1,X2))
__(mark(X1),X2) -> mark(__(X1,X2))
__(ok(X1),ok(X2)) -> ok(__(X1,X2))
active(U11(X)) -> U11(active(X))
active(U11(tt())) -> mark(tt())
active(U21(X1,X2)) -> U21(active(X1),X2)
active(U21(tt(),V2)) -> mark(U22(isList(V2)))
active(U22(X)) -> U22(active(X))
active(U22(tt())) -> mark(tt())
active(U31(X)) -> U31(active(X))
active(U31(tt())) -> mark(tt())
active(U41(X1,X2)) -> U41(active(X1),X2)
active(U41(tt(),V2)) -> mark(U42(isNeList(V2)))
active(U42(X)) -> U42(active(X))
active(U42(tt())) -> mark(tt())
active(U51(X1,X2)) -> U51(active(X1),X2)
active(U51(tt(),V2)) -> mark(U52(isList(V2)))
active(U52(X)) -> U52(active(X))
active(U52(tt())) -> mark(tt())
active(U61(X)) -> U61(active(X))
active(U61(tt())) -> mark(tt())
active(U71(X1,X2)) -> U71(active(X1),X2)
active(U71(tt(),P)) -> mark(U72(isPal(P)))
active(U72(X)) -> U72(active(X))
active(U72(tt())) -> mark(tt())
active(U81(X)) -> U81(active(X))
active(U81(tt())) -> mark(tt())
active(__(X,nil())) -> mark(X)
active(__(X1,X2)) -> __(X1,active(X2))
active(__(X1,X2)) -> __(active(X1),X2)
active(__(__(X,Y),Z)) -> mark(__(X,__(Y,Z)))
active(__(nil(),X)) -> mark(X)
active(isList(V)) -> mark(U11(isNeList(V)))
active(isList(__(V1,V2))) -> mark(U21(isList(V1),V2))
active(isList(nil())) -> mark(tt())
active(isNeList(V)) -> mark(U31(isQid(V)))
active(isNeList(__(V1,V2))) -> mark(U41(isList(V1),V2))
active(isNeList(__(V1,V2))) -> mark(U51(isNeList(V1),V2))
active(isNePal(V)) -> mark(U61(isQid(V)))
active(isNePal(__(I,__(P,I)))) -> mark(U71(isQid(I),P))
active(isPal(V)) -> mark(U81(isNePal(V)))
active(isPal(nil())) -> mark(tt())
active(isQid(a())) -> mark(tt())
active(isQid(e())) -> mark(tt())
active(isQid(i())) -> mark(tt())
active(isQid(o())) -> mark(tt())
active(isQid(u())) -> mark(tt())
isList(ok(X)) -> ok(isList(X))
isNeList(ok(X)) -> ok(isNeList(X))
isNePal(ok(X)) -> ok(isNePal(X))
isPal(ok(X)) -> ok(isPal(X))
isQid(ok(X)) -> ok(isQid(X))
proper(U11(X)) -> U11(proper(X))
proper(U21(X1,X2)) -> U21(proper(X1),proper(X2))
proper(U22(X)) -> U22(proper(X))
proper(U31(X)) -> U31(proper(X))
proper(U41(X1,X2)) -> U41(proper(X1),proper(X2))
proper(U42(X)) -> U42(proper(X))
proper(U51(X1,X2)) -> U51(proper(X1),proper(X2))
proper(U52(X)) -> U52(proper(X))
proper(U61(X)) -> U61(proper(X))
proper(U71(X1,X2)) -> U71(proper(X1),proper(X2))
proper(U72(X)) -> U72(proper(X))
proper(U81(X)) -> U81(proper(X))
proper(__(X1,X2)) -> __(proper(X1),proper(X2))
proper(a()) -> ok(a())
proper(e()) -> ok(e())
proper(i()) -> ok(i())
proper(isList(X)) -> isList(proper(X))
proper(isNeList(X)) -> isNeList(proper(X))
proper(isNePal(X)) -> isNePal(proper(X))
proper(isPal(X)) -> isPal(proper(X))
proper(isQid(X)) -> isQid(proper(X))
proper(nil()) -> ok(nil())
proper(o()) -> ok(o())
proper(tt()) -> ok(tt())
proper(u()) -> ok(u())
top(mark(X)) -> top(proper(X))
top(ok(X)) -> top(active(X))
Weak DP Rules:
Weak TRS Rules:
Signature:
{U11/1,U21/2,U22/1,U31/1,U41/2,U42/1,U51/2,U52/1,U61/1,U71/2,U72/1,U81/1,__/2,active/1,isList/1,isNeList/1,isNePal/1,isPal/1,isQid/1,proper/1,top/1} / {a/0,e/0,i/0,mark/1,nil/0,o/0,ok/1,tt/0,u/0}
Obligation:
Full
basic terms: {U11,U21,U22,U31,U41,U42,U51,U52,U61,U71,U72,U81,__,active,isList,isNeList,isNePal,isPal,isQid,proper,top}/{a,e,i,mark,nil,o,ok,tt,u}
Applied Processor:
Bounds {initialAutomaton = perSymbol, enrichment = match}
Proof:
The problem is match-bounded by 2.
The enriched problem is compatible with follwoing automaton.
U11_0(14) -> 1
U11_0(16) -> 1
U11_0(17) -> 1
U11_0(23) -> 1
U11_0(24) -> 1
U11_0(25) -> 1
U11_0(26) -> 1
U11_0(29) -> 1
U11_0(30) -> 1
U11_1(14) -> 31
U11_1(16) -> 31
U11_1(17) -> 31
U11_1(23) -> 31
U11_1(24) -> 31
U11_1(25) -> 31
U11_1(26) -> 31
U11_1(29) -> 31
U11_1(30) -> 31
U21_0(14,14) -> 2
U21_0(14,16) -> 2
U21_0(14,17) -> 2
U21_0(14,23) -> 2
U21_0(14,24) -> 2
U21_0(14,25) -> 2
U21_0(14,26) -> 2
U21_0(14,29) -> 2
U21_0(14,30) -> 2
U21_0(16,14) -> 2
U21_0(16,16) -> 2
U21_0(16,17) -> 2
U21_0(16,23) -> 2
U21_0(16,24) -> 2
U21_0(16,25) -> 2
U21_0(16,26) -> 2
U21_0(16,29) -> 2
U21_0(16,30) -> 2
U21_0(17,14) -> 2
U21_0(17,16) -> 2
U21_0(17,17) -> 2
U21_0(17,23) -> 2
U21_0(17,24) -> 2
U21_0(17,25) -> 2
U21_0(17,26) -> 2
U21_0(17,29) -> 2
U21_0(17,30) -> 2
U21_0(23,14) -> 2
U21_0(23,16) -> 2
U21_0(23,17) -> 2
U21_0(23,23) -> 2
U21_0(23,24) -> 2
U21_0(23,25) -> 2
U21_0(23,26) -> 2
U21_0(23,29) -> 2
U21_0(23,30) -> 2
U21_0(24,14) -> 2
U21_0(24,16) -> 2
U21_0(24,17) -> 2
U21_0(24,23) -> 2
U21_0(24,24) -> 2
U21_0(24,25) -> 2
U21_0(24,26) -> 2
U21_0(24,29) -> 2
U21_0(24,30) -> 2
U21_0(25,14) -> 2
U21_0(25,16) -> 2
U21_0(25,17) -> 2
U21_0(25,23) -> 2
U21_0(25,24) -> 2
U21_0(25,25) -> 2
U21_0(25,26) -> 2
U21_0(25,29) -> 2
U21_0(25,30) -> 2
U21_0(26,14) -> 2
U21_0(26,16) -> 2
U21_0(26,17) -> 2
U21_0(26,23) -> 2
U21_0(26,24) -> 2
U21_0(26,25) -> 2
U21_0(26,26) -> 2
U21_0(26,29) -> 2
U21_0(26,30) -> 2
U21_0(29,14) -> 2
U21_0(29,16) -> 2
U21_0(29,17) -> 2
U21_0(29,23) -> 2
U21_0(29,24) -> 2
U21_0(29,25) -> 2
U21_0(29,26) -> 2
U21_0(29,29) -> 2
U21_0(29,30) -> 2
U21_0(30,14) -> 2
U21_0(30,16) -> 2
U21_0(30,17) -> 2
U21_0(30,23) -> 2
U21_0(30,24) -> 2
U21_0(30,25) -> 2
U21_0(30,26) -> 2
U21_0(30,29) -> 2
U21_0(30,30) -> 2
U21_1(14,14) -> 32
U21_1(14,16) -> 32
U21_1(14,17) -> 32
U21_1(14,23) -> 32
U21_1(14,24) -> 32
U21_1(14,25) -> 32
U21_1(14,26) -> 32
U21_1(14,29) -> 32
U21_1(14,30) -> 32
U21_1(16,14) -> 32
U21_1(16,16) -> 32
U21_1(16,17) -> 32
U21_1(16,23) -> 32
U21_1(16,24) -> 32
U21_1(16,25) -> 32
U21_1(16,26) -> 32
U21_1(16,29) -> 32
U21_1(16,30) -> 32
U21_1(17,14) -> 32
U21_1(17,16) -> 32
U21_1(17,17) -> 32
U21_1(17,23) -> 32
U21_1(17,24) -> 32
U21_1(17,25) -> 32
U21_1(17,26) -> 32
U21_1(17,29) -> 32
U21_1(17,30) -> 32
U21_1(23,14) -> 32
U21_1(23,16) -> 32
U21_1(23,17) -> 32
U21_1(23,23) -> 32
U21_1(23,24) -> 32
U21_1(23,25) -> 32
U21_1(23,26) -> 32
U21_1(23,29) -> 32
U21_1(23,30) -> 32
U21_1(24,14) -> 32
U21_1(24,16) -> 32
U21_1(24,17) -> 32
U21_1(24,23) -> 32
U21_1(24,24) -> 32
U21_1(24,25) -> 32
U21_1(24,26) -> 32
U21_1(24,29) -> 32
U21_1(24,30) -> 32
U21_1(25,14) -> 32
U21_1(25,16) -> 32
U21_1(25,17) -> 32
U21_1(25,23) -> 32
U21_1(25,24) -> 32
U21_1(25,25) -> 32
U21_1(25,26) -> 32
U21_1(25,29) -> 32
U21_1(25,30) -> 32
U21_1(26,14) -> 32
U21_1(26,16) -> 32
U21_1(26,17) -> 32
U21_1(26,23) -> 32
U21_1(26,24) -> 32
U21_1(26,25) -> 32
U21_1(26,26) -> 32
U21_1(26,29) -> 32
U21_1(26,30) -> 32
U21_1(29,14) -> 32
U21_1(29,16) -> 32
U21_1(29,17) -> 32
U21_1(29,23) -> 32
U21_1(29,24) -> 32
U21_1(29,25) -> 32
U21_1(29,26) -> 32
U21_1(29,29) -> 32
U21_1(29,30) -> 32
U21_1(30,14) -> 32
U21_1(30,16) -> 32
U21_1(30,17) -> 32
U21_1(30,23) -> 32
U21_1(30,24) -> 32
U21_1(30,25) -> 32
U21_1(30,26) -> 32
U21_1(30,29) -> 32
U21_1(30,30) -> 32
U22_0(14) -> 3
U22_0(16) -> 3
U22_0(17) -> 3
U22_0(23) -> 3
U22_0(24) -> 3
U22_0(25) -> 3
U22_0(26) -> 3
U22_0(29) -> 3
U22_0(30) -> 3
U22_1(14) -> 33
U22_1(16) -> 33
U22_1(17) -> 33
U22_1(23) -> 33
U22_1(24) -> 33
U22_1(25) -> 33
U22_1(26) -> 33
U22_1(29) -> 33
U22_1(30) -> 33
U31_0(14) -> 4
U31_0(16) -> 4
U31_0(17) -> 4
U31_0(23) -> 4
U31_0(24) -> 4
U31_0(25) -> 4
U31_0(26) -> 4
U31_0(29) -> 4
U31_0(30) -> 4
U31_1(14) -> 34
U31_1(16) -> 34
U31_1(17) -> 34
U31_1(23) -> 34
U31_1(24) -> 34
U31_1(25) -> 34
U31_1(26) -> 34
U31_1(29) -> 34
U31_1(30) -> 34
U41_0(14,14) -> 5
U41_0(14,16) -> 5
U41_0(14,17) -> 5
U41_0(14,23) -> 5
U41_0(14,24) -> 5
U41_0(14,25) -> 5
U41_0(14,26) -> 5
U41_0(14,29) -> 5
U41_0(14,30) -> 5
U41_0(16,14) -> 5
U41_0(16,16) -> 5
U41_0(16,17) -> 5
U41_0(16,23) -> 5
U41_0(16,24) -> 5
U41_0(16,25) -> 5
U41_0(16,26) -> 5
U41_0(16,29) -> 5
U41_0(16,30) -> 5
U41_0(17,14) -> 5
U41_0(17,16) -> 5
U41_0(17,17) -> 5
U41_0(17,23) -> 5
U41_0(17,24) -> 5
U41_0(17,25) -> 5
U41_0(17,26) -> 5
U41_0(17,29) -> 5
U41_0(17,30) -> 5
U41_0(23,14) -> 5
U41_0(23,16) -> 5
U41_0(23,17) -> 5
U41_0(23,23) -> 5
U41_0(23,24) -> 5
U41_0(23,25) -> 5
U41_0(23,26) -> 5
U41_0(23,29) -> 5
U41_0(23,30) -> 5
U41_0(24,14) -> 5
U41_0(24,16) -> 5
U41_0(24,17) -> 5
U41_0(24,23) -> 5
U41_0(24,24) -> 5
U41_0(24,25) -> 5
U41_0(24,26) -> 5
U41_0(24,29) -> 5
U41_0(24,30) -> 5
U41_0(25,14) -> 5
U41_0(25,16) -> 5
U41_0(25,17) -> 5
U41_0(25,23) -> 5
U41_0(25,24) -> 5
U41_0(25,25) -> 5
U41_0(25,26) -> 5
U41_0(25,29) -> 5
U41_0(25,30) -> 5
U41_0(26,14) -> 5
U41_0(26,16) -> 5
U41_0(26,17) -> 5
U41_0(26,23) -> 5
U41_0(26,24) -> 5
U41_0(26,25) -> 5
U41_0(26,26) -> 5
U41_0(26,29) -> 5
U41_0(26,30) -> 5
U41_0(29,14) -> 5
U41_0(29,16) -> 5
U41_0(29,17) -> 5
U41_0(29,23) -> 5
U41_0(29,24) -> 5
U41_0(29,25) -> 5
U41_0(29,26) -> 5
U41_0(29,29) -> 5
U41_0(29,30) -> 5
U41_0(30,14) -> 5
U41_0(30,16) -> 5
U41_0(30,17) -> 5
U41_0(30,23) -> 5
U41_0(30,24) -> 5
U41_0(30,25) -> 5
U41_0(30,26) -> 5
U41_0(30,29) -> 5
U41_0(30,30) -> 5
U41_1(14,14) -> 35
U41_1(14,16) -> 35
U41_1(14,17) -> 35
U41_1(14,23) -> 35
U41_1(14,24) -> 35
U41_1(14,25) -> 35
U41_1(14,26) -> 35
U41_1(14,29) -> 35
U41_1(14,30) -> 35
U41_1(16,14) -> 35
U41_1(16,16) -> 35
U41_1(16,17) -> 35
U41_1(16,23) -> 35
U41_1(16,24) -> 35
U41_1(16,25) -> 35
U41_1(16,26) -> 35
U41_1(16,29) -> 35
U41_1(16,30) -> 35
U41_1(17,14) -> 35
U41_1(17,16) -> 35
U41_1(17,17) -> 35
U41_1(17,23) -> 35
U41_1(17,24) -> 35
U41_1(17,25) -> 35
U41_1(17,26) -> 35
U41_1(17,29) -> 35
U41_1(17,30) -> 35
U41_1(23,14) -> 35
U41_1(23,16) -> 35
U41_1(23,17) -> 35
U41_1(23,23) -> 35
U41_1(23,24) -> 35
U41_1(23,25) -> 35
U41_1(23,26) -> 35
U41_1(23,29) -> 35
U41_1(23,30) -> 35
U41_1(24,14) -> 35
U41_1(24,16) -> 35
U41_1(24,17) -> 35
U41_1(24,23) -> 35
U41_1(24,24) -> 35
U41_1(24,25) -> 35
U41_1(24,26) -> 35
U41_1(24,29) -> 35
U41_1(24,30) -> 35
U41_1(25,14) -> 35
U41_1(25,16) -> 35
U41_1(25,17) -> 35
U41_1(25,23) -> 35
U41_1(25,24) -> 35
U41_1(25,25) -> 35
U41_1(25,26) -> 35
U41_1(25,29) -> 35
U41_1(25,30) -> 35
U41_1(26,14) -> 35
U41_1(26,16) -> 35
U41_1(26,17) -> 35
U41_1(26,23) -> 35
U41_1(26,24) -> 35
U41_1(26,25) -> 35
U41_1(26,26) -> 35
U41_1(26,29) -> 35
U41_1(26,30) -> 35
U41_1(29,14) -> 35
U41_1(29,16) -> 35
U41_1(29,17) -> 35
U41_1(29,23) -> 35
U41_1(29,24) -> 35
U41_1(29,25) -> 35
U41_1(29,26) -> 35
U41_1(29,29) -> 35
U41_1(29,30) -> 35
U41_1(30,14) -> 35
U41_1(30,16) -> 35
U41_1(30,17) -> 35
U41_1(30,23) -> 35
U41_1(30,24) -> 35
U41_1(30,25) -> 35
U41_1(30,26) -> 35
U41_1(30,29) -> 35
U41_1(30,30) -> 35
U42_0(14) -> 6
U42_0(16) -> 6
U42_0(17) -> 6
U42_0(23) -> 6
U42_0(24) -> 6
U42_0(25) -> 6
U42_0(26) -> 6
U42_0(29) -> 6
U42_0(30) -> 6
U42_1(14) -> 36
U42_1(16) -> 36
U42_1(17) -> 36
U42_1(23) -> 36
U42_1(24) -> 36
U42_1(25) -> 36
U42_1(26) -> 36
U42_1(29) -> 36
U42_1(30) -> 36
U51_0(14,14) -> 7
U51_0(14,16) -> 7
U51_0(14,17) -> 7
U51_0(14,23) -> 7
U51_0(14,24) -> 7
U51_0(14,25) -> 7
U51_0(14,26) -> 7
U51_0(14,29) -> 7
U51_0(14,30) -> 7
U51_0(16,14) -> 7
U51_0(16,16) -> 7
U51_0(16,17) -> 7
U51_0(16,23) -> 7
U51_0(16,24) -> 7
U51_0(16,25) -> 7
U51_0(16,26) -> 7
U51_0(16,29) -> 7
U51_0(16,30) -> 7
U51_0(17,14) -> 7
U51_0(17,16) -> 7
U51_0(17,17) -> 7
U51_0(17,23) -> 7
U51_0(17,24) -> 7
U51_0(17,25) -> 7
U51_0(17,26) -> 7
U51_0(17,29) -> 7
U51_0(17,30) -> 7
U51_0(23,14) -> 7
U51_0(23,16) -> 7
U51_0(23,17) -> 7
U51_0(23,23) -> 7
U51_0(23,24) -> 7
U51_0(23,25) -> 7
U51_0(23,26) -> 7
U51_0(23,29) -> 7
U51_0(23,30) -> 7
U51_0(24,14) -> 7
U51_0(24,16) -> 7
U51_0(24,17) -> 7
U51_0(24,23) -> 7
U51_0(24,24) -> 7
U51_0(24,25) -> 7
U51_0(24,26) -> 7
U51_0(24,29) -> 7
U51_0(24,30) -> 7
U51_0(25,14) -> 7
U51_0(25,16) -> 7
U51_0(25,17) -> 7
U51_0(25,23) -> 7
U51_0(25,24) -> 7
U51_0(25,25) -> 7
U51_0(25,26) -> 7
U51_0(25,29) -> 7
U51_0(25,30) -> 7
U51_0(26,14) -> 7
U51_0(26,16) -> 7
U51_0(26,17) -> 7
U51_0(26,23) -> 7
U51_0(26,24) -> 7
U51_0(26,25) -> 7
U51_0(26,26) -> 7
U51_0(26,29) -> 7
U51_0(26,30) -> 7
U51_0(29,14) -> 7
U51_0(29,16) -> 7
U51_0(29,17) -> 7
U51_0(29,23) -> 7
U51_0(29,24) -> 7
U51_0(29,25) -> 7
U51_0(29,26) -> 7
U51_0(29,29) -> 7
U51_0(29,30) -> 7
U51_0(30,14) -> 7
U51_0(30,16) -> 7
U51_0(30,17) -> 7
U51_0(30,23) -> 7
U51_0(30,24) -> 7
U51_0(30,25) -> 7
U51_0(30,26) -> 7
U51_0(30,29) -> 7
U51_0(30,30) -> 7
U51_1(14,14) -> 37
U51_1(14,16) -> 37
U51_1(14,17) -> 37
U51_1(14,23) -> 37
U51_1(14,24) -> 37
U51_1(14,25) -> 37
U51_1(14,26) -> 37
U51_1(14,29) -> 37
U51_1(14,30) -> 37
U51_1(16,14) -> 37
U51_1(16,16) -> 37
U51_1(16,17) -> 37
U51_1(16,23) -> 37
U51_1(16,24) -> 37
U51_1(16,25) -> 37
U51_1(16,26) -> 37
U51_1(16,29) -> 37
U51_1(16,30) -> 37
U51_1(17,14) -> 37
U51_1(17,16) -> 37
U51_1(17,17) -> 37
U51_1(17,23) -> 37
U51_1(17,24) -> 37
U51_1(17,25) -> 37
U51_1(17,26) -> 37
U51_1(17,29) -> 37
U51_1(17,30) -> 37
U51_1(23,14) -> 37
U51_1(23,16) -> 37
U51_1(23,17) -> 37
U51_1(23,23) -> 37
U51_1(23,24) -> 37
U51_1(23,25) -> 37
U51_1(23,26) -> 37
U51_1(23,29) -> 37
U51_1(23,30) -> 37
U51_1(24,14) -> 37
U51_1(24,16) -> 37
U51_1(24,17) -> 37
U51_1(24,23) -> 37
U51_1(24,24) -> 37
U51_1(24,25) -> 37
U51_1(24,26) -> 37
U51_1(24,29) -> 37
U51_1(24,30) -> 37
U51_1(25,14) -> 37
U51_1(25,16) -> 37
U51_1(25,17) -> 37
U51_1(25,23) -> 37
U51_1(25,24) -> 37
U51_1(25,25) -> 37
U51_1(25,26) -> 37
U51_1(25,29) -> 37
U51_1(25,30) -> 37
U51_1(26,14) -> 37
U51_1(26,16) -> 37
U51_1(26,17) -> 37
U51_1(26,23) -> 37
U51_1(26,24) -> 37
U51_1(26,25) -> 37
U51_1(26,26) -> 37
U51_1(26,29) -> 37
U51_1(26,30) -> 37
U51_1(29,14) -> 37
U51_1(29,16) -> 37
U51_1(29,17) -> 37
U51_1(29,23) -> 37
U51_1(29,24) -> 37
U51_1(29,25) -> 37
U51_1(29,26) -> 37
U51_1(29,29) -> 37
U51_1(29,30) -> 37
U51_1(30,14) -> 37
U51_1(30,16) -> 37
U51_1(30,17) -> 37
U51_1(30,23) -> 37
U51_1(30,24) -> 37
U51_1(30,25) -> 37
U51_1(30,26) -> 37
U51_1(30,29) -> 37
U51_1(30,30) -> 37
U52_0(14) -> 8
U52_0(16) -> 8
U52_0(17) -> 8
U52_0(23) -> 8
U52_0(24) -> 8
U52_0(25) -> 8
U52_0(26) -> 8
U52_0(29) -> 8
U52_0(30) -> 8
U52_1(14) -> 38
U52_1(16) -> 38
U52_1(17) -> 38
U52_1(23) -> 38
U52_1(24) -> 38
U52_1(25) -> 38
U52_1(26) -> 38
U52_1(29) -> 38
U52_1(30) -> 38
U61_0(14) -> 9
U61_0(16) -> 9
U61_0(17) -> 9
U61_0(23) -> 9
U61_0(24) -> 9
U61_0(25) -> 9
U61_0(26) -> 9
U61_0(29) -> 9
U61_0(30) -> 9
U61_1(14) -> 39
U61_1(16) -> 39
U61_1(17) -> 39
U61_1(23) -> 39
U61_1(24) -> 39
U61_1(25) -> 39
U61_1(26) -> 39
U61_1(29) -> 39
U61_1(30) -> 39
U71_0(14,14) -> 10
U71_0(14,16) -> 10
U71_0(14,17) -> 10
U71_0(14,23) -> 10
U71_0(14,24) -> 10
U71_0(14,25) -> 10
U71_0(14,26) -> 10
U71_0(14,29) -> 10
U71_0(14,30) -> 10
U71_0(16,14) -> 10
U71_0(16,16) -> 10
U71_0(16,17) -> 10
U71_0(16,23) -> 10
U71_0(16,24) -> 10
U71_0(16,25) -> 10
U71_0(16,26) -> 10
U71_0(16,29) -> 10
U71_0(16,30) -> 10
U71_0(17,14) -> 10
U71_0(17,16) -> 10
U71_0(17,17) -> 10
U71_0(17,23) -> 10
U71_0(17,24) -> 10
U71_0(17,25) -> 10
U71_0(17,26) -> 10
U71_0(17,29) -> 10
U71_0(17,30) -> 10
U71_0(23,14) -> 10
U71_0(23,16) -> 10
U71_0(23,17) -> 10
U71_0(23,23) -> 10
U71_0(23,24) -> 10
U71_0(23,25) -> 10
U71_0(23,26) -> 10
U71_0(23,29) -> 10
U71_0(23,30) -> 10
U71_0(24,14) -> 10
U71_0(24,16) -> 10
U71_0(24,17) -> 10
U71_0(24,23) -> 10
U71_0(24,24) -> 10
U71_0(24,25) -> 10
U71_0(24,26) -> 10
U71_0(24,29) -> 10
U71_0(24,30) -> 10
U71_0(25,14) -> 10
U71_0(25,16) -> 10
U71_0(25,17) -> 10
U71_0(25,23) -> 10
U71_0(25,24) -> 10
U71_0(25,25) -> 10
U71_0(25,26) -> 10
U71_0(25,29) -> 10
U71_0(25,30) -> 10
U71_0(26,14) -> 10
U71_0(26,16) -> 10
U71_0(26,17) -> 10
U71_0(26,23) -> 10
U71_0(26,24) -> 10
U71_0(26,25) -> 10
U71_0(26,26) -> 10
U71_0(26,29) -> 10
U71_0(26,30) -> 10
U71_0(29,14) -> 10
U71_0(29,16) -> 10
U71_0(29,17) -> 10
U71_0(29,23) -> 10
U71_0(29,24) -> 10
U71_0(29,25) -> 10
U71_0(29,26) -> 10
U71_0(29,29) -> 10
U71_0(29,30) -> 10
U71_0(30,14) -> 10
U71_0(30,16) -> 10
U71_0(30,17) -> 10
U71_0(30,23) -> 10
U71_0(30,24) -> 10
U71_0(30,25) -> 10
U71_0(30,26) -> 10
U71_0(30,29) -> 10
U71_0(30,30) -> 10
U71_1(14,14) -> 40
U71_1(14,16) -> 40
U71_1(14,17) -> 40
U71_1(14,23) -> 40
U71_1(14,24) -> 40
U71_1(14,25) -> 40
U71_1(14,26) -> 40
U71_1(14,29) -> 40
U71_1(14,30) -> 40
U71_1(16,14) -> 40
U71_1(16,16) -> 40
U71_1(16,17) -> 40
U71_1(16,23) -> 40
U71_1(16,24) -> 40
U71_1(16,25) -> 40
U71_1(16,26) -> 40
U71_1(16,29) -> 40
U71_1(16,30) -> 40
U71_1(17,14) -> 40
U71_1(17,16) -> 40
U71_1(17,17) -> 40
U71_1(17,23) -> 40
U71_1(17,24) -> 40
U71_1(17,25) -> 40
U71_1(17,26) -> 40
U71_1(17,29) -> 40
U71_1(17,30) -> 40
U71_1(23,14) -> 40
U71_1(23,16) -> 40
U71_1(23,17) -> 40
U71_1(23,23) -> 40
U71_1(23,24) -> 40
U71_1(23,25) -> 40
U71_1(23,26) -> 40
U71_1(23,29) -> 40
U71_1(23,30) -> 40
U71_1(24,14) -> 40
U71_1(24,16) -> 40
U71_1(24,17) -> 40
U71_1(24,23) -> 40
U71_1(24,24) -> 40
U71_1(24,25) -> 40
U71_1(24,26) -> 40
U71_1(24,29) -> 40
U71_1(24,30) -> 40
U71_1(25,14) -> 40
U71_1(25,16) -> 40
U71_1(25,17) -> 40
U71_1(25,23) -> 40
U71_1(25,24) -> 40
U71_1(25,25) -> 40
U71_1(25,26) -> 40
U71_1(25,29) -> 40
U71_1(25,30) -> 40
U71_1(26,14) -> 40
U71_1(26,16) -> 40
U71_1(26,17) -> 40
U71_1(26,23) -> 40
U71_1(26,24) -> 40
U71_1(26,25) -> 40
U71_1(26,26) -> 40
U71_1(26,29) -> 40
U71_1(26,30) -> 40
U71_1(29,14) -> 40
U71_1(29,16) -> 40
U71_1(29,17) -> 40
U71_1(29,23) -> 40
U71_1(29,24) -> 40
U71_1(29,25) -> 40
U71_1(29,26) -> 40
U71_1(29,29) -> 40
U71_1(29,30) -> 40
U71_1(30,14) -> 40
U71_1(30,16) -> 40
U71_1(30,17) -> 40
U71_1(30,23) -> 40
U71_1(30,24) -> 40
U71_1(30,25) -> 40
U71_1(30,26) -> 40
U71_1(30,29) -> 40
U71_1(30,30) -> 40
U72_0(14) -> 11
U72_0(16) -> 11
U72_0(17) -> 11
U72_0(23) -> 11
U72_0(24) -> 11
U72_0(25) -> 11
U72_0(26) -> 11
U72_0(29) -> 11
U72_0(30) -> 11
U72_1(14) -> 41
U72_1(16) -> 41
U72_1(17) -> 41
U72_1(23) -> 41
U72_1(24) -> 41
U72_1(25) -> 41
U72_1(26) -> 41
U72_1(29) -> 41
U72_1(30) -> 41
U81_0(14) -> 12
U81_0(16) -> 12
U81_0(17) -> 12
U81_0(23) -> 12
U81_0(24) -> 12
U81_0(25) -> 12
U81_0(26) -> 12
U81_0(29) -> 12
U81_0(30) -> 12
U81_1(14) -> 42
U81_1(16) -> 42
U81_1(17) -> 42
U81_1(23) -> 42
U81_1(24) -> 42
U81_1(25) -> 42
U81_1(26) -> 42
U81_1(29) -> 42
U81_1(30) -> 42
___0(14,14) -> 13
___0(14,16) -> 13
___0(14,17) -> 13
___0(14,23) -> 13
___0(14,24) -> 13
___0(14,25) -> 13
___0(14,26) -> 13
___0(14,29) -> 13
___0(14,30) -> 13
___0(16,14) -> 13
___0(16,16) -> 13
___0(16,17) -> 13
___0(16,23) -> 13
___0(16,24) -> 13
___0(16,25) -> 13
___0(16,26) -> 13
___0(16,29) -> 13
___0(16,30) -> 13
___0(17,14) -> 13
___0(17,16) -> 13
___0(17,17) -> 13
___0(17,23) -> 13
___0(17,24) -> 13
___0(17,25) -> 13
___0(17,26) -> 13
___0(17,29) -> 13
___0(17,30) -> 13
___0(23,14) -> 13
___0(23,16) -> 13
___0(23,17) -> 13
___0(23,23) -> 13
___0(23,24) -> 13
___0(23,25) -> 13
___0(23,26) -> 13
___0(23,29) -> 13
___0(23,30) -> 13
___0(24,14) -> 13
___0(24,16) -> 13
___0(24,17) -> 13
___0(24,23) -> 13
___0(24,24) -> 13
___0(24,25) -> 13
___0(24,26) -> 13
___0(24,29) -> 13
___0(24,30) -> 13
___0(25,14) -> 13
___0(25,16) -> 13
___0(25,17) -> 13
___0(25,23) -> 13
___0(25,24) -> 13
___0(25,25) -> 13
___0(25,26) -> 13
___0(25,29) -> 13
___0(25,30) -> 13
___0(26,14) -> 13
___0(26,16) -> 13
___0(26,17) -> 13
___0(26,23) -> 13
___0(26,24) -> 13
___0(26,25) -> 13
___0(26,26) -> 13
___0(26,29) -> 13
___0(26,30) -> 13
___0(29,14) -> 13
___0(29,16) -> 13
___0(29,17) -> 13
___0(29,23) -> 13
___0(29,24) -> 13
___0(29,25) -> 13
___0(29,26) -> 13
___0(29,29) -> 13
___0(29,30) -> 13
___0(30,14) -> 13
___0(30,16) -> 13
___0(30,17) -> 13
___0(30,23) -> 13
___0(30,24) -> 13
___0(30,25) -> 13
___0(30,26) -> 13
___0(30,29) -> 13
___0(30,30) -> 13
___1(14,14) -> 43
___1(14,16) -> 43
___1(14,17) -> 43
___1(14,23) -> 43
___1(14,24) -> 43
___1(14,25) -> 43
___1(14,26) -> 43
___1(14,29) -> 43
___1(14,30) -> 43
___1(16,14) -> 43
___1(16,16) -> 43
___1(16,17) -> 43
___1(16,23) -> 43
___1(16,24) -> 43
___1(16,25) -> 43
___1(16,26) -> 43
___1(16,29) -> 43
___1(16,30) -> 43
___1(17,14) -> 43
___1(17,16) -> 43
___1(17,17) -> 43
___1(17,23) -> 43
___1(17,24) -> 43
___1(17,25) -> 43
___1(17,26) -> 43
___1(17,29) -> 43
___1(17,30) -> 43
___1(23,14) -> 43
___1(23,16) -> 43
___1(23,17) -> 43
___1(23,23) -> 43
___1(23,24) -> 43
___1(23,25) -> 43
___1(23,26) -> 43
___1(23,29) -> 43
___1(23,30) -> 43
___1(24,14) -> 43
___1(24,16) -> 43
___1(24,17) -> 43
___1(24,23) -> 43
___1(24,24) -> 43
___1(24,25) -> 43
___1(24,26) -> 43
___1(24,29) -> 43
___1(24,30) -> 43
___1(25,14) -> 43
___1(25,16) -> 43
___1(25,17) -> 43
___1(25,23) -> 43
___1(25,24) -> 43
___1(25,25) -> 43
___1(25,26) -> 43
___1(25,29) -> 43
___1(25,30) -> 43
___1(26,14) -> 43
___1(26,16) -> 43
___1(26,17) -> 43
___1(26,23) -> 43
___1(26,24) -> 43
___1(26,25) -> 43
___1(26,26) -> 43
___1(26,29) -> 43
___1(26,30) -> 43
___1(29,14) -> 43
___1(29,16) -> 43
___1(29,17) -> 43
___1(29,23) -> 43
___1(29,24) -> 43
___1(29,25) -> 43
___1(29,26) -> 43
___1(29,29) -> 43
___1(29,30) -> 43
___1(30,14) -> 43
___1(30,16) -> 43
___1(30,17) -> 43
___1(30,23) -> 43
___1(30,24) -> 43
___1(30,25) -> 43
___1(30,26) -> 43
___1(30,29) -> 43
___1(30,30) -> 43
a_0() -> 14
a_1() -> 49
active_0(14) -> 15
active_0(16) -> 15
active_0(17) -> 15
active_0(23) -> 15
active_0(24) -> 15
active_0(25) -> 15
active_0(26) -> 15
active_0(29) -> 15
active_0(30) -> 15
active_1(14) -> 50
active_1(16) -> 50
active_1(17) -> 50
active_1(23) -> 50
active_1(24) -> 50
active_1(25) -> 50
active_1(26) -> 50
active_1(29) -> 50
active_1(30) -> 50
active_2(49) -> 51
e_0() -> 16
e_1() -> 49
i_0() -> 17
i_1() -> 49
isList_0(14) -> 18
isList_0(16) -> 18
isList_0(17) -> 18
isList_0(23) -> 18
isList_0(24) -> 18
isList_0(25) -> 18
isList_0(26) -> 18
isList_0(29) -> 18
isList_0(30) -> 18
isList_1(14) -> 44
isList_1(16) -> 44
isList_1(17) -> 44
isList_1(23) -> 44
isList_1(24) -> 44
isList_1(25) -> 44
isList_1(26) -> 44
isList_1(29) -> 44
isList_1(30) -> 44
isNeList_0(14) -> 19
isNeList_0(16) -> 19
isNeList_0(17) -> 19
isNeList_0(23) -> 19
isNeList_0(24) -> 19
isNeList_0(25) -> 19
isNeList_0(26) -> 19
isNeList_0(29) -> 19
isNeList_0(30) -> 19
isNeList_1(14) -> 45
isNeList_1(16) -> 45
isNeList_1(17) -> 45
isNeList_1(23) -> 45
isNeList_1(24) -> 45
isNeList_1(25) -> 45
isNeList_1(26) -> 45
isNeList_1(29) -> 45
isNeList_1(30) -> 45
isNePal_0(14) -> 20
isNePal_0(16) -> 20
isNePal_0(17) -> 20
isNePal_0(23) -> 20
isNePal_0(24) -> 20
isNePal_0(25) -> 20
isNePal_0(26) -> 20
isNePal_0(29) -> 20
isNePal_0(30) -> 20
isNePal_1(14) -> 46
isNePal_1(16) -> 46
isNePal_1(17) -> 46
isNePal_1(23) -> 46
isNePal_1(24) -> 46
isNePal_1(25) -> 46
isNePal_1(26) -> 46
isNePal_1(29) -> 46
isNePal_1(30) -> 46
isPal_0(14) -> 21
isPal_0(16) -> 21
isPal_0(17) -> 21
isPal_0(23) -> 21
isPal_0(24) -> 21
isPal_0(25) -> 21
isPal_0(26) -> 21
isPal_0(29) -> 21
isPal_0(30) -> 21
isPal_1(14) -> 47
isPal_1(16) -> 47
isPal_1(17) -> 47
isPal_1(23) -> 47
isPal_1(24) -> 47
isPal_1(25) -> 47
isPal_1(26) -> 47
isPal_1(29) -> 47
isPal_1(30) -> 47
isQid_0(14) -> 22
isQid_0(16) -> 22
isQid_0(17) -> 22
isQid_0(23) -> 22
isQid_0(24) -> 22
isQid_0(25) -> 22
isQid_0(26) -> 22
isQid_0(29) -> 22
isQid_0(30) -> 22
isQid_1(14) -> 48
isQid_1(16) -> 48
isQid_1(17) -> 48
isQid_1(23) -> 48
isQid_1(24) -> 48
isQid_1(25) -> 48
isQid_1(26) -> 48
isQid_1(29) -> 48
isQid_1(30) -> 48
mark_0(14) -> 23
mark_0(16) -> 23
mark_0(17) -> 23
mark_0(23) -> 23
mark_0(24) -> 23
mark_0(25) -> 23
mark_0(26) -> 23
mark_0(29) -> 23
mark_0(30) -> 23
mark_1(31) -> 1
mark_1(31) -> 31
mark_1(32) -> 2
mark_1(32) -> 32
mark_1(33) -> 3
mark_1(33) -> 33
mark_1(34) -> 4
mark_1(34) -> 34
mark_1(35) -> 5
mark_1(35) -> 35
mark_1(36) -> 6
mark_1(36) -> 36
mark_1(37) -> 7
mark_1(37) -> 37
mark_1(38) -> 8
mark_1(38) -> 38
mark_1(39) -> 9
mark_1(39) -> 39
mark_1(40) -> 10
mark_1(40) -> 40
mark_1(41) -> 11
mark_1(41) -> 41
mark_1(42) -> 12
mark_1(42) -> 42
mark_1(43) -> 13
mark_1(43) -> 43
nil_0() -> 24
nil_1() -> 49
o_0() -> 25
o_1() -> 49
ok_0(14) -> 26
ok_0(16) -> 26
ok_0(17) -> 26
ok_0(23) -> 26
ok_0(24) -> 26
ok_0(25) -> 26
ok_0(26) -> 26
ok_0(29) -> 26
ok_0(30) -> 26
ok_1(31) -> 1
ok_1(31) -> 31
ok_1(32) -> 2
ok_1(32) -> 32
ok_1(33) -> 3
ok_1(33) -> 33
ok_1(34) -> 4
ok_1(34) -> 34
ok_1(35) -> 5
ok_1(35) -> 35
ok_1(36) -> 6
ok_1(36) -> 36
ok_1(37) -> 7
ok_1(37) -> 37
ok_1(38) -> 8
ok_1(38) -> 38
ok_1(39) -> 9
ok_1(39) -> 39
ok_1(40) -> 10
ok_1(40) -> 40
ok_1(41) -> 11
ok_1(41) -> 41
ok_1(42) -> 12
ok_1(42) -> 42
ok_1(43) -> 13
ok_1(43) -> 43
ok_1(44) -> 18
ok_1(44) -> 44
ok_1(45) -> 19
ok_1(45) -> 45
ok_1(46) -> 20
ok_1(46) -> 46
ok_1(47) -> 21
ok_1(47) -> 47
ok_1(48) -> 22
ok_1(48) -> 48
ok_1(49) -> 27
ok_1(49) -> 50
proper_0(14) -> 27
proper_0(16) -> 27
proper_0(17) -> 27
proper_0(23) -> 27
proper_0(24) -> 27
proper_0(25) -> 27
proper_0(26) -> 27
proper_0(29) -> 27
proper_0(30) -> 27
proper_1(14) -> 50
proper_1(16) -> 50
proper_1(17) -> 50
proper_1(23) -> 50
proper_1(24) -> 50
proper_1(25) -> 50
proper_1(26) -> 50
proper_1(29) -> 50
proper_1(30) -> 50
top_0(14) -> 28
top_0(16) -> 28
top_0(17) -> 28
top_0(23) -> 28
top_0(24) -> 28
top_0(25) -> 28
top_0(26) -> 28
top_0(29) -> 28
top_0(30) -> 28
top_1(50) -> 28
top_2(51) -> 28
tt_0() -> 29
tt_1() -> 49
u_0() -> 30
u_1() -> 49
*** 1.1 Progress [(O(1),O(1))] ***
Considered Problem:
Strict DP Rules:
Strict TRS Rules:
Weak DP Rules:
Weak TRS Rules:
U11(mark(X)) -> mark(U11(X))
U11(ok(X)) -> ok(U11(X))
U21(mark(X1),X2) -> mark(U21(X1,X2))
U21(ok(X1),ok(X2)) -> ok(U21(X1,X2))
U22(mark(X)) -> mark(U22(X))
U22(ok(X)) -> ok(U22(X))
U31(mark(X)) -> mark(U31(X))
U31(ok(X)) -> ok(U31(X))
U41(mark(X1),X2) -> mark(U41(X1,X2))
U41(ok(X1),ok(X2)) -> ok(U41(X1,X2))
U42(mark(X)) -> mark(U42(X))
U42(ok(X)) -> ok(U42(X))
U51(mark(X1),X2) -> mark(U51(X1,X2))
U51(ok(X1),ok(X2)) -> ok(U51(X1,X2))
U52(mark(X)) -> mark(U52(X))
U52(ok(X)) -> ok(U52(X))
U61(mark(X)) -> mark(U61(X))
U61(ok(X)) -> ok(U61(X))
U71(mark(X1),X2) -> mark(U71(X1,X2))
U71(ok(X1),ok(X2)) -> ok(U71(X1,X2))
U72(mark(X)) -> mark(U72(X))
U72(ok(X)) -> ok(U72(X))
U81(mark(X)) -> mark(U81(X))
U81(ok(X)) -> ok(U81(X))
__(X1,mark(X2)) -> mark(__(X1,X2))
__(mark(X1),X2) -> mark(__(X1,X2))
__(ok(X1),ok(X2)) -> ok(__(X1,X2))
active(U11(X)) -> U11(active(X))
active(U11(tt())) -> mark(tt())
active(U21(X1,X2)) -> U21(active(X1),X2)
active(U21(tt(),V2)) -> mark(U22(isList(V2)))
active(U22(X)) -> U22(active(X))
active(U22(tt())) -> mark(tt())
active(U31(X)) -> U31(active(X))
active(U31(tt())) -> mark(tt())
active(U41(X1,X2)) -> U41(active(X1),X2)
active(U41(tt(),V2)) -> mark(U42(isNeList(V2)))
active(U42(X)) -> U42(active(X))
active(U42(tt())) -> mark(tt())
active(U51(X1,X2)) -> U51(active(X1),X2)
active(U51(tt(),V2)) -> mark(U52(isList(V2)))
active(U52(X)) -> U52(active(X))
active(U52(tt())) -> mark(tt())
active(U61(X)) -> U61(active(X))
active(U61(tt())) -> mark(tt())
active(U71(X1,X2)) -> U71(active(X1),X2)
active(U71(tt(),P)) -> mark(U72(isPal(P)))
active(U72(X)) -> U72(active(X))
active(U72(tt())) -> mark(tt())
active(U81(X)) -> U81(active(X))
active(U81(tt())) -> mark(tt())
active(__(X,nil())) -> mark(X)
active(__(X1,X2)) -> __(X1,active(X2))
active(__(X1,X2)) -> __(active(X1),X2)
active(__(__(X,Y),Z)) -> mark(__(X,__(Y,Z)))
active(__(nil(),X)) -> mark(X)
active(isList(V)) -> mark(U11(isNeList(V)))
active(isList(__(V1,V2))) -> mark(U21(isList(V1),V2))
active(isList(nil())) -> mark(tt())
active(isNeList(V)) -> mark(U31(isQid(V)))
active(isNeList(__(V1,V2))) -> mark(U41(isList(V1),V2))
active(isNeList(__(V1,V2))) -> mark(U51(isNeList(V1),V2))
active(isNePal(V)) -> mark(U61(isQid(V)))
active(isNePal(__(I,__(P,I)))) -> mark(U71(isQid(I),P))
active(isPal(V)) -> mark(U81(isNePal(V)))
active(isPal(nil())) -> mark(tt())
active(isQid(a())) -> mark(tt())
active(isQid(e())) -> mark(tt())
active(isQid(i())) -> mark(tt())
active(isQid(o())) -> mark(tt())
active(isQid(u())) -> mark(tt())
isList(ok(X)) -> ok(isList(X))
isNeList(ok(X)) -> ok(isNeList(X))
isNePal(ok(X)) -> ok(isNePal(X))
isPal(ok(X)) -> ok(isPal(X))
isQid(ok(X)) -> ok(isQid(X))
proper(U11(X)) -> U11(proper(X))
proper(U21(X1,X2)) -> U21(proper(X1),proper(X2))
proper(U22(X)) -> U22(proper(X))
proper(U31(X)) -> U31(proper(X))
proper(U41(X1,X2)) -> U41(proper(X1),proper(X2))
proper(U42(X)) -> U42(proper(X))
proper(U51(X1,X2)) -> U51(proper(X1),proper(X2))
proper(U52(X)) -> U52(proper(X))
proper(U61(X)) -> U61(proper(X))
proper(U71(X1,X2)) -> U71(proper(X1),proper(X2))
proper(U72(X)) -> U72(proper(X))
proper(U81(X)) -> U81(proper(X))
proper(__(X1,X2)) -> __(proper(X1),proper(X2))
proper(a()) -> ok(a())
proper(e()) -> ok(e())
proper(i()) -> ok(i())
proper(isList(X)) -> isList(proper(X))
proper(isNeList(X)) -> isNeList(proper(X))
proper(isNePal(X)) -> isNePal(proper(X))
proper(isPal(X)) -> isPal(proper(X))
proper(isQid(X)) -> isQid(proper(X))
proper(nil()) -> ok(nil())
proper(o()) -> ok(o())
proper(tt()) -> ok(tt())
proper(u()) -> ok(u())
top(mark(X)) -> top(proper(X))
top(ok(X)) -> top(active(X))
Signature:
{U11/1,U21/2,U22/1,U31/1,U41/2,U42/1,U51/2,U52/1,U61/1,U71/2,U72/1,U81/1,__/2,active/1,isList/1,isNeList/1,isNePal/1,isPal/1,isQid/1,proper/1,top/1} / {a/0,e/0,i/0,mark/1,nil/0,o/0,ok/1,tt/0,u/0}
Obligation:
Full
basic terms: {U11,U21,U22,U31,U41,U42,U51,U52,U61,U71,U72,U81,__,active,isList,isNeList,isNePal,isPal,isQid,proper,top}/{a,e,i,mark,nil,o,ok,tt,u}
Applied Processor:
EmptyProcessor
Proof:
The problem is already closed. The intended complexity is O(1).