MAYBE 713.61/297.12 MAYBE 713.61/297.12 713.61/297.12 We are left with following problem, upon which TcT provides the 713.61/297.12 certificate MAYBE. 713.61/297.12 713.61/297.12 Strict Trs: 713.61/297.12 { car(cons(x, l)) -> x 713.61/297.12 , cddr(cons(x, cons(y, l))) -> l 713.61/297.12 , cddr(cons(x, nil())) -> nil() 713.61/297.12 , cddr(nil()) -> nil() 713.61/297.12 , cadr(cons(x, cons(y, l))) -> y 713.61/297.12 , isZero(0()) -> true() 713.61/297.12 , isZero(s(x)) -> false() 713.61/297.12 , plus(x, y) -> ifplus(isZero(x), x, y) 713.61/297.12 , ifplus(true(), x, y) -> y 713.61/297.12 , ifplus(false(), x, y) -> s(plus(p(x), y)) 713.61/297.12 , p(0()) -> 0() 713.61/297.12 , p(s(x)) -> x 713.61/297.12 , times(x, y) -> iftimes(isZero(x), x, y) 713.61/297.12 , iftimes(true(), x, y) -> 0() 713.61/297.12 , iftimes(false(), x, y) -> plus(y, times(p(x), y)) 713.61/297.12 , shorter(cons(x, l), 0()) -> false() 713.61/297.12 , shorter(cons(x, l), s(y)) -> shorter(l, y) 713.61/297.12 , shorter(nil(), y) -> true() 713.61/297.12 , prod(l) -> if(shorter(l, 0()), shorter(l, s(0())), l) 713.61/297.12 , if(true(), b, l) -> s(0()) 713.61/297.12 , if(false(), b, l) -> if2(b, l) 713.61/297.12 , if2(true(), l) -> car(l) 713.61/297.12 , if2(false(), l) -> prod(cons(times(car(l), cadr(l)), cddr(l))) } 713.61/297.12 Obligation: 713.61/297.12 innermost runtime complexity 713.61/297.12 Answer: 713.61/297.12 MAYBE 713.61/297.12 713.61/297.12 None of the processors succeeded. 713.61/297.12 713.61/297.12 Details of failed attempt(s): 713.61/297.12 ----------------------------- 713.61/297.12 1) 'empty' failed due to the following reason: 713.61/297.12 713.61/297.12 Empty strict component of the problem is NOT empty. 713.61/297.12 713.61/297.12 2) 'Best' failed due to the following reason: 713.61/297.12 713.61/297.12 None of the processors succeeded. 713.61/297.12 713.61/297.12 Details of failed attempt(s): 713.61/297.12 ----------------------------- 713.61/297.12 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 713.61/297.12 following reason: 713.61/297.12 713.61/297.12 Computation stopped due to timeout after 297.0 seconds. 713.61/297.12 713.61/297.12 2) 'Best' failed due to the following reason: 713.61/297.12 713.61/297.12 None of the processors succeeded. 713.61/297.12 713.61/297.12 Details of failed attempt(s): 713.61/297.12 ----------------------------- 713.61/297.12 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 713.61/297.12 seconds)' failed due to the following reason: 713.61/297.12 713.61/297.12 Computation stopped due to timeout after 148.0 seconds. 713.61/297.12 713.61/297.12 2) 'Best' failed due to the following reason: 713.61/297.12 713.61/297.12 None of the processors succeeded. 713.61/297.12 713.61/297.12 Details of failed attempt(s): 713.61/297.12 ----------------------------- 713.61/297.12 1) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 713.61/297.12 to the following reason: 713.61/297.12 713.61/297.12 The input cannot be shown compatible 713.61/297.12 713.61/297.12 2) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 713.61/297.12 following reason: 713.61/297.12 713.61/297.12 The input cannot be shown compatible 713.61/297.12 713.61/297.12 713.61/297.12 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 713.61/297.12 failed due to the following reason: 713.61/297.12 713.61/297.12 None of the processors succeeded. 713.61/297.12 713.61/297.12 Details of failed attempt(s): 713.61/297.12 ----------------------------- 713.61/297.12 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 713.61/297.12 failed due to the following reason: 713.61/297.12 713.61/297.12 match-boundness of the problem could not be verified. 713.61/297.12 713.61/297.12 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 713.61/297.12 failed due to the following reason: 713.61/297.12 713.61/297.12 match-boundness of the problem could not be verified. 713.61/297.12 713.61/297.12 713.61/297.12 713.61/297.12 713.61/297.12 713.61/297.12 Arrrr.. 713.61/297.15 EOF