MAYBE 1023.02/297.02 MAYBE 1023.02/297.02 1023.02/297.02 We are left with following problem, upon which TcT provides the 1023.02/297.02 certificate MAYBE. 1023.02/297.02 1023.02/297.02 Strict Trs: 1023.02/297.02 { times(x, plus(y, 1())) -> 1023.02/297.02 plus(times(x, plus(y, times(1(), 0()))), x) 1023.02/297.02 , times(x, 1()) -> x 1023.02/297.02 , times(x, 0()) -> 0() 1023.02/297.02 , plus(s(x), x) -> plus(if(gt(x, x), id(x), id(x)), s(x)) 1023.02/297.02 , plus(s(x), s(y)) -> 1023.02/297.02 s(s(plus(if(gt(x, y), x, y), if(not(gt(x, y)), id(x), id(y))))) 1023.02/297.02 , plus(id(x), s(y)) -> s(plus(x, if(gt(s(y), y), y, s(y)))) 1023.02/297.02 , plus(zero(), y) -> y 1023.02/297.02 , if(true(), x, y) -> x 1023.02/297.02 , if(false(), x, y) -> y 1023.02/297.02 , gt(s(x), s(y)) -> gt(x, y) 1023.02/297.02 , gt(s(x), zero()) -> true() 1023.02/297.02 , gt(zero(), y) -> false() 1023.02/297.02 , not(x) -> if(x, false(), true()) 1023.02/297.02 , id(x) -> x } 1023.02/297.02 Obligation: 1023.02/297.02 innermost runtime complexity 1023.02/297.02 Answer: 1023.02/297.02 MAYBE 1023.02/297.02 1023.02/297.02 Arguments of following rules are not normal-forms: 1023.02/297.02 1023.02/297.02 { plus(id(x), s(y)) -> s(plus(x, if(gt(s(y), y), y, s(y)))) } 1023.02/297.02 1023.02/297.02 All above mentioned rules can be savely removed. 1023.02/297.02 1023.02/297.02 We are left with following problem, upon which TcT provides the 1023.02/297.02 certificate MAYBE. 1023.02/297.02 1023.02/297.02 Strict Trs: 1023.02/297.02 { times(x, plus(y, 1())) -> 1023.02/297.02 plus(times(x, plus(y, times(1(), 0()))), x) 1023.02/297.02 , times(x, 1()) -> x 1023.02/297.02 , times(x, 0()) -> 0() 1023.02/297.02 , plus(s(x), x) -> plus(if(gt(x, x), id(x), id(x)), s(x)) 1023.02/297.02 , plus(s(x), s(y)) -> 1023.02/297.02 s(s(plus(if(gt(x, y), x, y), if(not(gt(x, y)), id(x), id(y))))) 1023.02/297.02 , plus(zero(), y) -> y 1023.02/297.02 , if(true(), x, y) -> x 1023.02/297.02 , if(false(), x, y) -> y 1023.02/297.02 , gt(s(x), s(y)) -> gt(x, y) 1023.02/297.02 , gt(s(x), zero()) -> true() 1023.02/297.02 , gt(zero(), y) -> false() 1023.02/297.02 , not(x) -> if(x, false(), true()) 1023.02/297.02 , id(x) -> x } 1023.02/297.02 Obligation: 1023.02/297.02 innermost runtime complexity 1023.02/297.02 Answer: 1023.02/297.02 MAYBE 1023.02/297.02 1023.02/297.02 None of the processors succeeded. 1023.02/297.02 1023.02/297.02 Details of failed attempt(s): 1023.02/297.02 ----------------------------- 1023.02/297.02 1) 'empty' failed due to the following reason: 1023.02/297.02 1023.02/297.02 Empty strict component of the problem is NOT empty. 1023.02/297.02 1023.02/297.02 2) 'Best' failed due to the following reason: 1023.02/297.02 1023.02/297.02 None of the processors succeeded. 1023.02/297.02 1023.02/297.02 Details of failed attempt(s): 1023.02/297.02 ----------------------------- 1023.02/297.02 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 1023.02/297.02 following reason: 1023.02/297.02 1023.02/297.02 Computation stopped due to timeout after 297.0 seconds. 1023.02/297.02 1023.02/297.02 2) 'Best' failed due to the following reason: 1023.02/297.02 1023.02/297.02 None of the processors succeeded. 1023.02/297.02 1023.02/297.02 Details of failed attempt(s): 1023.02/297.02 ----------------------------- 1023.02/297.02 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 1023.02/297.02 seconds)' failed due to the following reason: 1023.02/297.02 1023.02/297.02 Computation stopped due to timeout after 148.0 seconds. 1023.02/297.02 1023.02/297.02 2) 'Best' failed due to the following reason: 1023.02/297.02 1023.02/297.02 None of the processors succeeded. 1023.02/297.02 1023.02/297.02 Details of failed attempt(s): 1023.02/297.02 ----------------------------- 1023.02/297.02 1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 1023.02/297.02 following reason: 1023.02/297.02 1023.02/297.02 The input cannot be shown compatible 1023.02/297.02 1023.02/297.02 2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 1023.02/297.02 to the following reason: 1023.02/297.02 1023.02/297.02 The input cannot be shown compatible 1023.02/297.02 1023.02/297.02 1023.02/297.02 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 1023.02/297.03 failed due to the following reason: 1023.02/297.03 1023.02/297.03 None of the processors succeeded. 1023.02/297.03 1023.02/297.03 Details of failed attempt(s): 1023.02/297.03 ----------------------------- 1023.02/297.03 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 1023.02/297.03 failed due to the following reason: 1023.02/297.03 1023.02/297.03 match-boundness of the problem could not be verified. 1023.02/297.03 1023.02/297.03 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 1023.02/297.03 failed due to the following reason: 1023.02/297.03 1023.02/297.03 match-boundness of the problem could not be verified. 1023.02/297.03 1023.02/297.03 1023.02/297.03 1023.02/297.03 1023.02/297.03 1023.02/297.03 Arrrr.. 1023.26/297.26 EOF