MAYBE 758.25/297.05 MAYBE 758.25/297.05 758.25/297.05 We are left with following problem, upon which TcT provides the 758.25/297.05 certificate MAYBE. 758.25/297.05 758.25/297.05 Strict Trs: 758.25/297.05 { active(fact(X)) -> fact(active(X)) 758.25/297.05 , active(fact(X)) -> mark(if(zero(X), s(0()), prod(X, fact(p(X))))) 758.25/297.05 , active(if(X1, X2, X3)) -> if(active(X1), X2, X3) 758.25/297.05 , active(if(true(), X, Y)) -> mark(X) 758.25/297.05 , active(if(false(), X, Y)) -> mark(Y) 758.25/297.05 , active(zero(X)) -> zero(active(X)) 758.25/297.05 , active(zero(s(X))) -> mark(false()) 758.25/297.05 , active(zero(0())) -> mark(true()) 758.25/297.05 , active(s(X)) -> s(active(X)) 758.25/297.05 , active(prod(X1, X2)) -> prod(X1, active(X2)) 758.25/297.05 , active(prod(X1, X2)) -> prod(active(X1), X2) 758.25/297.05 , active(prod(s(X), Y)) -> mark(add(Y, prod(X, Y))) 758.25/297.05 , active(prod(0(), X)) -> mark(0()) 758.25/297.05 , active(p(X)) -> p(active(X)) 758.25/297.05 , active(p(s(X))) -> mark(X) 758.25/297.05 , active(add(X1, X2)) -> add(X1, active(X2)) 758.25/297.05 , active(add(X1, X2)) -> add(active(X1), X2) 758.25/297.05 , active(add(s(X), Y)) -> mark(s(add(X, Y))) 758.25/297.05 , active(add(0(), X)) -> mark(X) 758.25/297.05 , fact(mark(X)) -> mark(fact(X)) 758.25/297.05 , fact(ok(X)) -> ok(fact(X)) 758.25/297.05 , if(mark(X1), X2, X3) -> mark(if(X1, X2, X3)) 758.25/297.05 , if(ok(X1), ok(X2), ok(X3)) -> ok(if(X1, X2, X3)) 758.25/297.05 , zero(mark(X)) -> mark(zero(X)) 758.25/297.05 , zero(ok(X)) -> ok(zero(X)) 758.25/297.05 , s(mark(X)) -> mark(s(X)) 758.25/297.05 , s(ok(X)) -> ok(s(X)) 758.25/297.05 , prod(X1, mark(X2)) -> mark(prod(X1, X2)) 758.25/297.05 , prod(mark(X1), X2) -> mark(prod(X1, X2)) 758.25/297.05 , prod(ok(X1), ok(X2)) -> ok(prod(X1, X2)) 758.25/297.05 , p(mark(X)) -> mark(p(X)) 758.25/297.05 , p(ok(X)) -> ok(p(X)) 758.25/297.05 , add(X1, mark(X2)) -> mark(add(X1, X2)) 758.25/297.05 , add(mark(X1), X2) -> mark(add(X1, X2)) 758.25/297.05 , add(ok(X1), ok(X2)) -> ok(add(X1, X2)) 758.25/297.05 , proper(fact(X)) -> fact(proper(X)) 758.25/297.05 , proper(if(X1, X2, X3)) -> if(proper(X1), proper(X2), proper(X3)) 758.25/297.05 , proper(zero(X)) -> zero(proper(X)) 758.25/297.05 , proper(s(X)) -> s(proper(X)) 758.25/297.05 , proper(0()) -> ok(0()) 758.25/297.05 , proper(prod(X1, X2)) -> prod(proper(X1), proper(X2)) 758.25/297.05 , proper(p(X)) -> p(proper(X)) 758.25/297.05 , proper(add(X1, X2)) -> add(proper(X1), proper(X2)) 758.25/297.05 , proper(true()) -> ok(true()) 758.25/297.05 , proper(false()) -> ok(false()) 758.25/297.05 , top(mark(X)) -> top(proper(X)) 758.25/297.05 , top(ok(X)) -> top(active(X)) } 758.25/297.05 Obligation: 758.25/297.05 innermost runtime complexity 758.25/297.05 Answer: 758.25/297.05 MAYBE 758.25/297.05 758.25/297.05 None of the processors succeeded. 758.25/297.05 758.25/297.05 Details of failed attempt(s): 758.25/297.05 ----------------------------- 758.25/297.05 1) 'empty' failed due to the following reason: 758.25/297.05 758.25/297.05 Empty strict component of the problem is NOT empty. 758.25/297.05 758.25/297.05 2) 'Best' failed due to the following reason: 758.25/297.05 758.25/297.05 None of the processors succeeded. 758.25/297.05 758.25/297.05 Details of failed attempt(s): 758.25/297.05 ----------------------------- 758.25/297.05 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 758.25/297.05 following reason: 758.25/297.05 758.25/297.05 Computation stopped due to timeout after 297.0 seconds. 758.25/297.05 758.25/297.05 2) 'Best' failed due to the following reason: 758.25/297.05 758.25/297.05 None of the processors succeeded. 758.25/297.05 758.25/297.05 Details of failed attempt(s): 758.25/297.05 ----------------------------- 758.25/297.05 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 758.25/297.05 seconds)' failed due to the following reason: 758.25/297.05 758.25/297.05 Computation stopped due to timeout after 148.0 seconds. 758.25/297.05 758.25/297.05 2) 'Best' failed due to the following reason: 758.25/297.05 758.25/297.05 None of the processors succeeded. 758.25/297.05 758.25/297.05 Details of failed attempt(s): 758.25/297.05 ----------------------------- 758.25/297.05 1) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 758.25/297.05 to the following reason: 758.25/297.05 758.25/297.05 The input cannot be shown compatible 758.25/297.05 758.25/297.05 2) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 758.25/297.05 following reason: 758.25/297.05 758.25/297.05 The input cannot be shown compatible 758.25/297.05 758.25/297.05 758.25/297.05 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 758.25/297.05 failed due to the following reason: 758.25/297.05 758.25/297.05 None of the processors succeeded. 758.25/297.05 758.25/297.05 Details of failed attempt(s): 758.25/297.05 ----------------------------- 758.25/297.05 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 758.25/297.05 failed due to the following reason: 758.25/297.05 758.25/297.05 match-boundness of the problem could not be verified. 758.25/297.05 758.25/297.05 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 758.25/297.05 failed due to the following reason: 758.25/297.05 758.25/297.05 match-boundness of the problem could not be verified. 758.25/297.05 758.25/297.05 758.25/297.05 758.25/297.05 758.25/297.05 758.25/297.05 Arrrr.. 758.76/297.40 EOF