MAYBE 743.79/297.15 MAYBE 743.79/297.15 743.79/297.15 We are left with following problem, upon which TcT provides the 743.79/297.15 certificate MAYBE. 743.79/297.15 743.79/297.15 Strict Trs: 743.79/297.15 { active(U11(X1, X2)) -> U11(active(X1), X2) 743.79/297.15 , active(U11(tt(), N)) -> mark(N) 743.79/297.15 , active(U21(X1, X2, X3)) -> U21(active(X1), X2, X3) 743.79/297.15 , active(U21(tt(), M, N)) -> mark(s(plus(N, M))) 743.79/297.15 , active(s(X)) -> s(active(X)) 743.79/297.15 , active(plus(X1, X2)) -> plus(X1, active(X2)) 743.79/297.15 , active(plus(X1, X2)) -> plus(active(X1), X2) 743.79/297.15 , active(plus(N, s(M))) -> mark(U21(and(isNat(M), isNat(N)), M, N)) 743.79/297.15 , active(plus(N, 0())) -> mark(U11(isNat(N), N)) 743.79/297.15 , active(U31(X)) -> U31(active(X)) 743.79/297.15 , active(U31(tt())) -> mark(0()) 743.79/297.15 , active(U41(X1, X2, X3)) -> U41(active(X1), X2, X3) 743.79/297.15 , active(U41(tt(), M, N)) -> mark(plus(x(N, M), N)) 743.79/297.15 , active(x(X1, X2)) -> x(X1, active(X2)) 743.79/297.15 , active(x(X1, X2)) -> x(active(X1), X2) 743.79/297.15 , active(x(N, s(M))) -> mark(U41(and(isNat(M), isNat(N)), M, N)) 743.79/297.15 , active(x(N, 0())) -> mark(U31(isNat(N))) 743.79/297.15 , active(and(X1, X2)) -> and(active(X1), X2) 743.79/297.15 , active(and(tt(), X)) -> mark(X) 743.79/297.15 , active(isNat(s(V1))) -> mark(isNat(V1)) 743.79/297.15 , active(isNat(plus(V1, V2))) -> mark(and(isNat(V1), isNat(V2))) 743.79/297.15 , active(isNat(0())) -> mark(tt()) 743.79/297.15 , active(isNat(x(V1, V2))) -> mark(and(isNat(V1), isNat(V2))) 743.79/297.15 , U11(mark(X1), X2) -> mark(U11(X1, X2)) 743.79/297.15 , U11(ok(X1), ok(X2)) -> ok(U11(X1, X2)) 743.79/297.15 , U21(mark(X1), X2, X3) -> mark(U21(X1, X2, X3)) 743.79/297.15 , U21(ok(X1), ok(X2), ok(X3)) -> ok(U21(X1, X2, X3)) 743.79/297.15 , s(mark(X)) -> mark(s(X)) 743.79/297.15 , s(ok(X)) -> ok(s(X)) 743.79/297.15 , plus(X1, mark(X2)) -> mark(plus(X1, X2)) 743.79/297.15 , plus(mark(X1), X2) -> mark(plus(X1, X2)) 743.79/297.15 , plus(ok(X1), ok(X2)) -> ok(plus(X1, X2)) 743.79/297.15 , U31(mark(X)) -> mark(U31(X)) 743.79/297.15 , U31(ok(X)) -> ok(U31(X)) 743.79/297.15 , U41(mark(X1), X2, X3) -> mark(U41(X1, X2, X3)) 743.79/297.15 , U41(ok(X1), ok(X2), ok(X3)) -> ok(U41(X1, X2, X3)) 743.79/297.15 , x(X1, mark(X2)) -> mark(x(X1, X2)) 743.79/297.15 , x(mark(X1), X2) -> mark(x(X1, X2)) 743.79/297.15 , x(ok(X1), ok(X2)) -> ok(x(X1, X2)) 743.79/297.15 , and(mark(X1), X2) -> mark(and(X1, X2)) 743.79/297.15 , and(ok(X1), ok(X2)) -> ok(and(X1, X2)) 743.79/297.15 , isNat(ok(X)) -> ok(isNat(X)) 743.79/297.15 , proper(U11(X1, X2)) -> U11(proper(X1), proper(X2)) 743.79/297.15 , proper(tt()) -> ok(tt()) 743.79/297.15 , proper(U21(X1, X2, X3)) -> 743.79/297.15 U21(proper(X1), proper(X2), proper(X3)) 743.79/297.15 , proper(s(X)) -> s(proper(X)) 743.79/297.15 , proper(plus(X1, X2)) -> plus(proper(X1), proper(X2)) 743.79/297.15 , proper(U31(X)) -> U31(proper(X)) 743.79/297.15 , proper(0()) -> ok(0()) 743.79/297.15 , proper(U41(X1, X2, X3)) -> 743.79/297.15 U41(proper(X1), proper(X2), proper(X3)) 743.79/297.15 , proper(x(X1, X2)) -> x(proper(X1), proper(X2)) 743.79/297.15 , proper(and(X1, X2)) -> and(proper(X1), proper(X2)) 743.79/297.15 , proper(isNat(X)) -> isNat(proper(X)) 743.79/297.15 , top(mark(X)) -> top(proper(X)) 743.79/297.15 , top(ok(X)) -> top(active(X)) } 743.79/297.15 Obligation: 743.79/297.15 innermost runtime complexity 743.79/297.15 Answer: 743.79/297.15 MAYBE 743.79/297.15 743.79/297.15 None of the processors succeeded. 743.79/297.15 743.79/297.15 Details of failed attempt(s): 743.79/297.15 ----------------------------- 743.79/297.15 1) 'empty' failed due to the following reason: 743.79/297.15 743.79/297.15 Empty strict component of the problem is NOT empty. 743.79/297.15 743.79/297.15 2) 'Best' failed due to the following reason: 743.79/297.15 743.79/297.15 None of the processors succeeded. 743.79/297.15 743.79/297.15 Details of failed attempt(s): 743.79/297.15 ----------------------------- 743.79/297.15 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 743.79/297.15 following reason: 743.79/297.15 743.79/297.15 Computation stopped due to timeout after 297.0 seconds. 743.79/297.15 743.79/297.15 2) 'Best' failed due to the following reason: 743.79/297.15 743.79/297.15 None of the processors succeeded. 743.79/297.15 743.79/297.15 Details of failed attempt(s): 743.79/297.15 ----------------------------- 743.79/297.15 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 743.79/297.15 seconds)' failed due to the following reason: 743.79/297.15 743.79/297.15 Computation stopped due to timeout after 148.0 seconds. 743.79/297.15 743.79/297.15 2) 'Best' failed due to the following reason: 743.79/297.15 743.79/297.15 None of the processors succeeded. 743.79/297.15 743.79/297.15 Details of failed attempt(s): 743.79/297.15 ----------------------------- 743.79/297.15 1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 743.79/297.15 following reason: 743.79/297.15 743.79/297.15 The input cannot be shown compatible 743.79/297.15 743.79/297.15 2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 743.79/297.15 to the following reason: 743.79/297.15 743.79/297.15 The input cannot be shown compatible 743.79/297.15 743.79/297.15 743.79/297.15 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 743.79/297.15 failed due to the following reason: 743.79/297.15 743.79/297.15 None of the processors succeeded. 743.79/297.15 743.79/297.15 Details of failed attempt(s): 743.79/297.15 ----------------------------- 743.79/297.15 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 743.79/297.15 failed due to the following reason: 743.79/297.15 743.79/297.15 match-boundness of the problem could not be verified. 743.79/297.15 743.79/297.15 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 743.79/297.15 failed due to the following reason: 743.79/297.15 743.79/297.15 match-boundness of the problem could not be verified. 743.79/297.15 743.79/297.15 743.79/297.15 743.79/297.15 743.79/297.15 743.79/297.15 Arrrr.. 744.13/297.48 EOF