MAYBE 877.07/297.06 MAYBE 877.07/297.06 877.07/297.06 We are left with following problem, upon which TcT provides the 877.07/297.06 certificate MAYBE. 877.07/297.06 877.07/297.06 Strict Trs: 877.07/297.06 { active(U11(X1, X2, X3)) -> U11(active(X1), X2, X3) 877.07/297.06 , active(U11(tt(), M, N)) -> mark(U12(tt(), M, N)) 877.07/297.06 , active(U12(X1, X2, X3)) -> U12(active(X1), X2, X3) 877.07/297.06 , active(U12(tt(), M, N)) -> mark(s(plus(N, M))) 877.07/297.06 , active(s(X)) -> s(active(X)) 877.07/297.06 , active(plus(X1, X2)) -> plus(X1, active(X2)) 877.07/297.06 , active(plus(X1, X2)) -> plus(active(X1), X2) 877.07/297.06 , active(plus(N, s(M))) -> mark(U11(tt(), M, N)) 877.07/297.06 , active(plus(N, 0())) -> mark(N) 877.07/297.06 , active(U21(X1, X2, X3)) -> U21(active(X1), X2, X3) 877.07/297.06 , active(U21(tt(), M, N)) -> mark(U22(tt(), M, N)) 877.07/297.06 , active(U22(X1, X2, X3)) -> U22(active(X1), X2, X3) 877.07/297.06 , active(U22(tt(), M, N)) -> mark(plus(x(N, M), N)) 877.07/297.06 , active(x(X1, X2)) -> x(X1, active(X2)) 877.07/297.06 , active(x(X1, X2)) -> x(active(X1), X2) 877.07/297.06 , active(x(N, s(M))) -> mark(U21(tt(), M, N)) 877.07/297.06 , active(x(N, 0())) -> mark(0()) 877.07/297.06 , U11(mark(X1), X2, X3) -> mark(U11(X1, X2, X3)) 877.07/297.06 , U11(ok(X1), ok(X2), ok(X3)) -> ok(U11(X1, X2, X3)) 877.07/297.06 , U12(mark(X1), X2, X3) -> mark(U12(X1, X2, X3)) 877.07/297.06 , U12(ok(X1), ok(X2), ok(X3)) -> ok(U12(X1, X2, X3)) 877.07/297.06 , s(mark(X)) -> mark(s(X)) 877.07/297.06 , s(ok(X)) -> ok(s(X)) 877.07/297.06 , plus(X1, mark(X2)) -> mark(plus(X1, X2)) 877.07/297.06 , plus(mark(X1), X2) -> mark(plus(X1, X2)) 877.07/297.06 , plus(ok(X1), ok(X2)) -> ok(plus(X1, X2)) 877.07/297.06 , U21(mark(X1), X2, X3) -> mark(U21(X1, X2, X3)) 877.07/297.06 , U21(ok(X1), ok(X2), ok(X3)) -> ok(U21(X1, X2, X3)) 877.07/297.06 , U22(mark(X1), X2, X3) -> mark(U22(X1, X2, X3)) 877.07/297.06 , U22(ok(X1), ok(X2), ok(X3)) -> ok(U22(X1, X2, X3)) 877.07/297.06 , x(X1, mark(X2)) -> mark(x(X1, X2)) 877.07/297.06 , x(mark(X1), X2) -> mark(x(X1, X2)) 877.07/297.06 , x(ok(X1), ok(X2)) -> ok(x(X1, X2)) 877.07/297.06 , proper(U11(X1, X2, X3)) -> 877.07/297.06 U11(proper(X1), proper(X2), proper(X3)) 877.07/297.06 , proper(tt()) -> ok(tt()) 877.07/297.06 , proper(U12(X1, X2, X3)) -> 877.07/297.06 U12(proper(X1), proper(X2), proper(X3)) 877.07/297.06 , proper(s(X)) -> s(proper(X)) 877.07/297.06 , proper(plus(X1, X2)) -> plus(proper(X1), proper(X2)) 877.07/297.06 , proper(U21(X1, X2, X3)) -> 877.07/297.06 U21(proper(X1), proper(X2), proper(X3)) 877.07/297.06 , proper(U22(X1, X2, X3)) -> 877.07/297.06 U22(proper(X1), proper(X2), proper(X3)) 877.07/297.06 , proper(x(X1, X2)) -> x(proper(X1), proper(X2)) 877.07/297.06 , proper(0()) -> ok(0()) 877.07/297.06 , top(mark(X)) -> top(proper(X)) 877.07/297.06 , top(ok(X)) -> top(active(X)) } 877.07/297.06 Obligation: 877.07/297.06 innermost runtime complexity 877.07/297.06 Answer: 877.07/297.06 MAYBE 877.07/297.06 877.07/297.06 None of the processors succeeded. 877.07/297.06 877.07/297.06 Details of failed attempt(s): 877.07/297.06 ----------------------------- 877.07/297.06 1) 'empty' failed due to the following reason: 877.07/297.06 877.07/297.06 Empty strict component of the problem is NOT empty. 877.07/297.06 877.07/297.06 2) 'Best' failed due to the following reason: 877.07/297.06 877.07/297.06 None of the processors succeeded. 877.07/297.06 877.07/297.06 Details of failed attempt(s): 877.07/297.06 ----------------------------- 877.07/297.06 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 877.07/297.06 following reason: 877.07/297.06 877.07/297.06 Computation stopped due to timeout after 297.0 seconds. 877.07/297.06 877.07/297.06 2) 'Best' failed due to the following reason: 877.07/297.06 877.07/297.06 None of the processors succeeded. 877.07/297.06 877.07/297.06 Details of failed attempt(s): 877.07/297.06 ----------------------------- 877.07/297.06 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 877.07/297.06 seconds)' failed due to the following reason: 877.07/297.06 877.07/297.06 Computation stopped due to timeout after 148.0 seconds. 877.07/297.06 877.07/297.06 2) 'Best' failed due to the following reason: 877.07/297.06 877.07/297.06 None of the processors succeeded. 877.07/297.06 877.07/297.06 Details of failed attempt(s): 877.07/297.06 ----------------------------- 877.07/297.06 1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 877.07/297.06 following reason: 877.07/297.06 877.07/297.06 The input cannot be shown compatible 877.07/297.06 877.07/297.06 2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 877.07/297.06 to the following reason: 877.07/297.06 877.07/297.06 The input cannot be shown compatible 877.07/297.06 877.07/297.06 877.07/297.06 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 877.07/297.06 failed due to the following reason: 877.07/297.06 877.07/297.06 None of the processors succeeded. 877.07/297.06 877.07/297.06 Details of failed attempt(s): 877.07/297.06 ----------------------------- 877.07/297.06 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 877.07/297.06 failed due to the following reason: 877.07/297.06 877.07/297.06 match-boundness of the problem could not be verified. 877.07/297.06 877.07/297.06 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 877.07/297.06 failed due to the following reason: 877.07/297.06 877.07/297.06 match-boundness of the problem could not be verified. 877.07/297.06 877.07/297.06 877.07/297.06 877.07/297.06 877.07/297.06 877.07/297.06 Arrrr.. 877.48/297.48 EOF