MAYBE 760.35/297.02 MAYBE 760.35/297.02 760.35/297.02 We are left with following problem, upon which TcT provides the 760.35/297.02 certificate MAYBE. 760.35/297.02 760.35/297.02 Strict Trs: 760.35/297.02 { f(g(x)) -> g(f(f(x))) 760.35/297.02 , f(h(x)) -> h(g(x)) 760.35/297.02 , f'(s(x), y, y) -> f'(y, x, s(x)) } 760.35/297.02 Obligation: 760.35/297.02 innermost runtime complexity 760.35/297.02 Answer: 760.35/297.02 MAYBE 760.35/297.02 760.35/297.02 None of the processors succeeded. 760.35/297.02 760.35/297.02 Details of failed attempt(s): 760.35/297.02 ----------------------------- 760.35/297.02 1) 'empty' failed due to the following reason: 760.35/297.02 760.35/297.02 Empty strict component of the problem is NOT empty. 760.35/297.02 760.35/297.02 2) 'Best' failed due to the following reason: 760.35/297.02 760.35/297.02 None of the processors succeeded. 760.35/297.02 760.35/297.02 Details of failed attempt(s): 760.35/297.02 ----------------------------- 760.35/297.02 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 760.35/297.02 following reason: 760.35/297.02 760.35/297.02 Computation stopped due to timeout after 297.0 seconds. 760.35/297.02 760.35/297.02 2) 'Best' failed due to the following reason: 760.35/297.02 760.35/297.02 None of the processors succeeded. 760.35/297.02 760.35/297.02 Details of failed attempt(s): 760.35/297.02 ----------------------------- 760.35/297.02 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 760.35/297.02 seconds)' failed due to the following reason: 760.35/297.02 760.35/297.02 The weightgap principle applies (using the following nonconstant 760.35/297.02 growth matrix-interpretation) 760.35/297.02 760.35/297.02 The following argument positions are usable: 760.35/297.02 Uargs(f) = {1}, Uargs(g) = {1} 760.35/297.02 760.35/297.02 TcT has computed the following matrix interpretation satisfying 760.35/297.02 not(EDA) and not(IDA(1)). 760.35/297.02 760.35/297.02 [f](x1) = [1] x1 + [0] 760.35/297.02 760.35/297.02 [g](x1) = [1] x1 + [0] 760.35/297.02 760.35/297.02 [h](x1) = [1] x1 + [0] 760.35/297.02 760.35/297.02 [f'](x1, x2, x3) = [1] x1 + [1] x2 + [0] 760.35/297.02 760.35/297.02 [s](x1) = [1] x1 + [4] 760.35/297.02 760.35/297.02 The order satisfies the following ordering constraints: 760.35/297.02 760.35/297.02 [f(g(x))] = [1] x + [0] 760.35/297.02 >= [1] x + [0] 760.35/297.02 = [g(f(f(x)))] 760.35/297.02 760.35/297.02 [f(h(x))] = [1] x + [0] 760.35/297.02 >= [1] x + [0] 760.35/297.02 = [h(g(x))] 760.35/297.02 760.35/297.02 [f'(s(x), y, y)] = [1] x + [1] y + [4] 760.35/297.02 > [1] x + [1] y + [0] 760.35/297.02 = [f'(y, x, s(x))] 760.35/297.02 760.35/297.02 760.35/297.02 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 760.35/297.02 760.35/297.02 We are left with following problem, upon which TcT provides the 760.35/297.02 certificate MAYBE. 760.35/297.02 760.35/297.02 Strict Trs: 760.35/297.02 { f(g(x)) -> g(f(f(x))) 760.35/297.02 , f(h(x)) -> h(g(x)) } 760.35/297.02 Weak Trs: { f'(s(x), y, y) -> f'(y, x, s(x)) } 760.35/297.02 Obligation: 760.35/297.02 innermost runtime complexity 760.35/297.02 Answer: 760.35/297.02 MAYBE 760.35/297.02 760.35/297.02 The weightgap principle applies (using the following nonconstant 760.35/297.02 growth matrix-interpretation) 760.35/297.02 760.35/297.02 The following argument positions are usable: 760.35/297.02 Uargs(f) = {1}, Uargs(g) = {1} 760.35/297.02 760.35/297.02 TcT has computed the following matrix interpretation satisfying 760.35/297.02 not(EDA) and not(IDA(1)). 760.35/297.02 760.35/297.02 [f](x1) = [1] x1 + [4] 760.35/297.02 760.35/297.02 [g](x1) = [1] x1 + [0] 760.35/297.02 760.35/297.02 [h](x1) = [1] x1 + [4] 760.35/297.02 760.35/297.02 [f'](x1, x2, x3) = [1] x1 + [1] x2 + [4] 760.35/297.02 760.35/297.02 [s](x1) = [1] x1 + [1] 760.35/297.02 760.35/297.02 The order satisfies the following ordering constraints: 760.35/297.02 760.35/297.02 [f(g(x))] = [1] x + [4] 760.35/297.02 ? [1] x + [8] 760.35/297.02 = [g(f(f(x)))] 760.35/297.02 760.35/297.02 [f(h(x))] = [1] x + [8] 760.35/297.02 > [1] x + [4] 760.35/297.02 = [h(g(x))] 760.35/297.02 760.35/297.02 [f'(s(x), y, y)] = [1] x + [1] y + [5] 760.35/297.02 > [1] x + [1] y + [4] 760.35/297.02 = [f'(y, x, s(x))] 760.35/297.02 760.35/297.02 760.35/297.02 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 760.35/297.02 760.35/297.02 We are left with following problem, upon which TcT provides the 760.35/297.02 certificate MAYBE. 760.35/297.02 760.35/297.02 Strict Trs: { f(g(x)) -> g(f(f(x))) } 760.35/297.02 Weak Trs: 760.35/297.02 { f(h(x)) -> h(g(x)) 760.35/297.02 , f'(s(x), y, y) -> f'(y, x, s(x)) } 760.35/297.02 Obligation: 760.35/297.02 innermost runtime complexity 760.35/297.02 Answer: 760.35/297.02 MAYBE 760.35/297.02 760.35/297.02 None of the processors succeeded. 760.35/297.02 760.35/297.02 Details of failed attempt(s): 760.35/297.02 ----------------------------- 760.35/297.02 1) 'empty' failed due to the following reason: 760.35/297.02 760.35/297.02 Empty strict component of the problem is NOT empty. 760.35/297.02 760.35/297.02 2) 'With Problem ...' failed due to the following reason: 760.35/297.02 760.35/297.02 None of the processors succeeded. 760.35/297.02 760.35/297.02 Details of failed attempt(s): 760.35/297.02 ----------------------------- 760.35/297.02 1) 'empty' failed due to the following reason: 760.35/297.02 760.35/297.02 Empty strict component of the problem is NOT empty. 760.35/297.02 760.35/297.02 2) 'Fastest' failed due to the following reason: 760.35/297.02 760.35/297.02 None of the processors succeeded. 760.35/297.02 760.35/297.02 Details of failed attempt(s): 760.35/297.02 ----------------------------- 760.35/297.02 1) 'With Problem ...' failed due to the following reason: 760.35/297.02 760.35/297.02 None of the processors succeeded. 760.35/297.02 760.35/297.02 Details of failed attempt(s): 760.35/297.02 ----------------------------- 760.35/297.02 1) 'empty' failed due to the following reason: 760.35/297.02 760.35/297.02 Empty strict component of the problem is NOT empty. 760.35/297.02 760.35/297.02 2) 'With Problem ...' failed due to the following reason: 760.35/297.02 760.35/297.02 None of the processors succeeded. 760.35/297.02 760.35/297.02 Details of failed attempt(s): 760.35/297.02 ----------------------------- 760.35/297.02 1) 'empty' failed due to the following reason: 760.35/297.02 760.35/297.02 Empty strict component of the problem is NOT empty. 760.35/297.02 760.35/297.02 2) 'With Problem ...' failed due to the following reason: 760.35/297.02 760.35/297.02 None of the processors succeeded. 760.35/297.02 760.35/297.02 Details of failed attempt(s): 760.35/297.02 ----------------------------- 760.35/297.02 1) 'empty' failed due to the following reason: 760.35/297.02 760.35/297.02 Empty strict component of the problem is NOT empty. 760.35/297.02 760.35/297.02 2) 'With Problem ...' failed due to the following reason: 760.35/297.02 760.35/297.02 Empty strict component of the problem is NOT empty. 760.35/297.02 760.35/297.02 760.35/297.02 760.35/297.02 760.35/297.02 2) 'With Problem ...' failed due to the following reason: 760.35/297.02 760.35/297.02 None of the processors succeeded. 760.35/297.02 760.35/297.02 Details of failed attempt(s): 760.35/297.02 ----------------------------- 760.35/297.02 1) 'empty' failed due to the following reason: 760.35/297.02 760.35/297.02 Empty strict component of the problem is NOT empty. 760.35/297.02 760.35/297.02 2) 'With Problem ...' failed due to the following reason: 760.35/297.02 760.35/297.02 Empty strict component of the problem is NOT empty. 760.35/297.02 760.35/297.02 760.35/297.02 760.35/297.02 760.35/297.02 760.35/297.02 2) 'Best' failed due to the following reason: 760.35/297.02 760.35/297.02 None of the processors succeeded. 760.35/297.02 760.35/297.02 Details of failed attempt(s): 760.35/297.02 ----------------------------- 760.35/297.02 1) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 760.35/297.02 to the following reason: 760.35/297.02 760.35/297.02 The input cannot be shown compatible 760.35/297.02 760.35/297.02 2) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 760.35/297.02 following reason: 760.35/297.02 760.35/297.02 The input cannot be shown compatible 760.35/297.02 760.35/297.02 760.35/297.02 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 760.35/297.02 failed due to the following reason: 760.35/297.02 760.35/297.02 None of the processors succeeded. 760.35/297.02 760.35/297.02 Details of failed attempt(s): 760.35/297.02 ----------------------------- 760.35/297.02 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 760.35/297.02 failed due to the following reason: 760.35/297.02 760.35/297.02 match-boundness of the problem could not be verified. 760.35/297.02 760.35/297.02 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 760.35/297.02 failed due to the following reason: 760.35/297.02 760.35/297.02 match-boundness of the problem could not be verified. 760.35/297.02 760.35/297.02 760.35/297.02 760.35/297.02 760.35/297.02 760.35/297.02 Arrrr.. 760.46/297.19 EOF