MAYBE 953.97/297.02 MAYBE 953.97/297.02 953.97/297.02 We are left with following problem, upon which TcT provides the 953.97/297.02 certificate MAYBE. 953.97/297.02 953.97/297.02 Strict Trs: 953.97/297.02 { min(x, 0()) -> 0() 953.97/297.02 , min(0(), y) -> 0() 953.97/297.02 , min(s(x), s(y)) -> s(min(x, y)) 953.97/297.02 , max(x, 0()) -> x 953.97/297.02 , max(0(), y) -> y 953.97/297.02 , max(s(x), s(y)) -> s(max(x, y)) 953.97/297.02 , minus(x, 0()) -> x 953.97/297.02 , minus(s(x), s(y)) -> s(minus(x, y)) 953.97/297.02 , gcd(s(x), s(y)) -> 953.97/297.02 gcd(minus(max(x, y), min(x, transform(y))), s(min(x, y))) 953.97/297.02 , transform(x) -> s(s(x)) 953.97/297.02 , transform(s(x)) -> s(s(transform(x))) 953.97/297.02 , transform(cons(x, y)) -> y 953.97/297.02 , transform(cons(x, y)) -> cons(cons(x, x), x) 953.97/297.02 , cons(x, y) -> y 953.97/297.02 , cons(x, cons(y, s(z))) -> cons(y, x) 953.97/297.02 , cons(cons(x, z), s(y)) -> transform(x) } 953.97/297.02 Obligation: 953.97/297.02 innermost runtime complexity 953.97/297.02 Answer: 953.97/297.02 MAYBE 953.97/297.02 953.97/297.02 Arguments of following rules are not normal-forms: 953.97/297.02 953.97/297.02 { transform(cons(x, y)) -> y 953.97/297.02 , transform(cons(x, y)) -> cons(cons(x, x), x) 953.97/297.02 , cons(x, cons(y, s(z))) -> cons(y, x) 953.97/297.02 , cons(cons(x, z), s(y)) -> transform(x) } 953.97/297.02 953.97/297.02 All above mentioned rules can be savely removed. 953.97/297.02 953.97/297.02 We are left with following problem, upon which TcT provides the 953.97/297.02 certificate MAYBE. 953.97/297.02 953.97/297.02 Strict Trs: 953.97/297.02 { min(x, 0()) -> 0() 953.97/297.02 , min(0(), y) -> 0() 953.97/297.02 , min(s(x), s(y)) -> s(min(x, y)) 953.97/297.02 , max(x, 0()) -> x 953.97/297.02 , max(0(), y) -> y 953.97/297.02 , max(s(x), s(y)) -> s(max(x, y)) 953.97/297.02 , minus(x, 0()) -> x 953.97/297.02 , minus(s(x), s(y)) -> s(minus(x, y)) 953.97/297.02 , gcd(s(x), s(y)) -> 953.97/297.02 gcd(minus(max(x, y), min(x, transform(y))), s(min(x, y))) 953.97/297.02 , transform(x) -> s(s(x)) 953.97/297.02 , transform(s(x)) -> s(s(transform(x))) 953.97/297.02 , cons(x, y) -> y } 953.97/297.02 Obligation: 953.97/297.02 innermost runtime complexity 953.97/297.02 Answer: 953.97/297.02 MAYBE 953.97/297.02 953.97/297.02 None of the processors succeeded. 953.97/297.02 953.97/297.02 Details of failed attempt(s): 953.97/297.02 ----------------------------- 953.97/297.02 1) 'empty' failed due to the following reason: 953.97/297.02 953.97/297.02 Empty strict component of the problem is NOT empty. 953.97/297.02 953.97/297.02 2) 'Best' failed due to the following reason: 953.97/297.02 953.97/297.02 None of the processors succeeded. 953.97/297.02 953.97/297.02 Details of failed attempt(s): 953.97/297.02 ----------------------------- 953.97/297.02 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 953.97/297.02 following reason: 953.97/297.02 953.97/297.02 Computation stopped due to timeout after 297.0 seconds. 953.97/297.02 953.97/297.02 2) 'Best' failed due to the following reason: 953.97/297.02 953.97/297.02 None of the processors succeeded. 953.97/297.02 953.97/297.02 Details of failed attempt(s): 953.97/297.02 ----------------------------- 953.97/297.02 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 953.97/297.02 seconds)' failed due to the following reason: 953.97/297.02 953.97/297.02 Computation stopped due to timeout after 148.0 seconds. 953.97/297.02 953.97/297.02 2) 'Best' failed due to the following reason: 953.97/297.02 953.97/297.02 None of the processors succeeded. 953.97/297.02 953.97/297.02 Details of failed attempt(s): 953.97/297.02 ----------------------------- 953.97/297.02 1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 953.97/297.02 following reason: 953.97/297.02 953.97/297.02 The input cannot be shown compatible 953.97/297.02 953.97/297.02 2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 953.97/297.02 to the following reason: 953.97/297.02 953.97/297.02 The input cannot be shown compatible 953.97/297.02 953.97/297.02 953.97/297.02 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 953.97/297.02 failed due to the following reason: 953.97/297.02 953.97/297.02 None of the processors succeeded. 953.97/297.02 953.97/297.02 Details of failed attempt(s): 953.97/297.02 ----------------------------- 953.97/297.02 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 953.97/297.02 failed due to the following reason: 953.97/297.02 953.97/297.02 match-boundness of the problem could not be verified. 953.97/297.02 953.97/297.02 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 953.97/297.02 failed due to the following reason: 953.97/297.02 953.97/297.02 match-boundness of the problem could not be verified. 953.97/297.02 953.97/297.02 953.97/297.02 953.97/297.02 953.97/297.02 953.97/297.02 Arrrr.. 954.19/297.26 EOF