MAYBE 718.05/297.03 MAYBE 718.05/297.03 718.05/297.03 We are left with following problem, upon which TcT provides the 718.05/297.03 certificate MAYBE. 718.05/297.03 718.05/297.03 Strict Trs: 718.05/297.03 { cond(true(), x, y) -> cond(gr(x, y), p(x), s(y)) 718.05/297.03 , gr(s(x), s(y)) -> gr(x, y) 718.05/297.03 , gr(s(x), 0()) -> true() 718.05/297.03 , gr(0(), x) -> false() 718.05/297.03 , p(s(x)) -> x 718.05/297.03 , p(0()) -> 0() } 718.05/297.03 Obligation: 718.05/297.03 innermost runtime complexity 718.05/297.03 Answer: 718.05/297.03 MAYBE 718.05/297.03 718.05/297.03 None of the processors succeeded. 718.05/297.03 718.05/297.03 Details of failed attempt(s): 718.05/297.03 ----------------------------- 718.05/297.03 1) 'empty' failed due to the following reason: 718.05/297.03 718.05/297.03 Empty strict component of the problem is NOT empty. 718.05/297.03 718.05/297.03 2) 'Best' failed due to the following reason: 718.05/297.03 718.05/297.03 None of the processors succeeded. 718.05/297.03 718.05/297.03 Details of failed attempt(s): 718.05/297.03 ----------------------------- 718.05/297.03 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 718.05/297.03 following reason: 718.05/297.03 718.05/297.03 Computation stopped due to timeout after 297.0 seconds. 718.05/297.03 718.05/297.03 2) 'Best' failed due to the following reason: 718.05/297.03 718.05/297.03 None of the processors succeeded. 718.05/297.03 718.05/297.03 Details of failed attempt(s): 718.05/297.03 ----------------------------- 718.05/297.04 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 718.05/297.04 seconds)' failed due to the following reason: 718.05/297.04 718.05/297.04 The weightgap principle applies (using the following nonconstant 718.05/297.04 growth matrix-interpretation) 718.05/297.04 718.05/297.04 The following argument positions are usable: 718.05/297.04 Uargs(cond) = {1, 2} 718.05/297.04 718.05/297.04 TcT has computed the following matrix interpretation satisfying 718.05/297.04 not(EDA) and not(IDA(1)). 718.05/297.04 718.05/297.04 [cond](x1, x2, x3) = [1] x1 + [1] x2 + [1] x3 + [3] 718.05/297.04 718.05/297.04 [true] = [4] 718.05/297.04 718.05/297.04 [gr](x1, x2) = [4] 718.05/297.04 718.05/297.04 [p](x1) = [1] x1 + [4] 718.05/297.04 718.05/297.04 [s](x1) = [1] x1 + [0] 718.05/297.04 718.05/297.04 [0] = [7] 718.05/297.04 718.05/297.04 [false] = [3] 718.05/297.04 718.05/297.04 The order satisfies the following ordering constraints: 718.05/297.04 718.05/297.04 [cond(true(), x, y)] = [1] x + [1] y + [7] 718.05/297.04 ? [1] x + [1] y + [11] 718.05/297.04 = [cond(gr(x, y), p(x), s(y))] 718.05/297.04 718.05/297.04 [gr(s(x), s(y))] = [4] 718.05/297.04 >= [4] 718.05/297.04 = [gr(x, y)] 718.05/297.04 718.05/297.04 [gr(s(x), 0())] = [4] 718.05/297.04 >= [4] 718.05/297.04 = [true()] 718.05/297.04 718.05/297.04 [gr(0(), x)] = [4] 718.05/297.04 > [3] 718.05/297.04 = [false()] 718.05/297.04 718.05/297.04 [p(s(x))] = [1] x + [4] 718.05/297.04 > [1] x + [0] 718.05/297.04 = [x] 718.05/297.04 718.05/297.04 [p(0())] = [11] 718.05/297.04 > [7] 718.05/297.04 = [0()] 718.05/297.04 718.05/297.04 718.05/297.04 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 718.05/297.04 718.05/297.04 We are left with following problem, upon which TcT provides the 718.05/297.04 certificate MAYBE. 718.05/297.04 718.05/297.04 Strict Trs: 718.05/297.04 { cond(true(), x, y) -> cond(gr(x, y), p(x), s(y)) 718.05/297.04 , gr(s(x), s(y)) -> gr(x, y) 718.05/297.04 , gr(s(x), 0()) -> true() } 718.05/297.04 Weak Trs: 718.05/297.04 { gr(0(), x) -> false() 718.05/297.04 , p(s(x)) -> x 718.05/297.04 , p(0()) -> 0() } 718.05/297.04 Obligation: 718.05/297.04 innermost runtime complexity 718.05/297.04 Answer: 718.05/297.04 MAYBE 718.05/297.04 718.05/297.04 The weightgap principle applies (using the following nonconstant 718.05/297.04 growth matrix-interpretation) 718.05/297.04 718.05/297.04 The following argument positions are usable: 718.05/297.04 Uargs(cond) = {1, 2} 718.05/297.04 718.05/297.04 TcT has computed the following matrix interpretation satisfying 718.05/297.04 not(EDA) and not(IDA(1)). 718.05/297.04 718.05/297.04 [cond](x1, x2, x3) = [1] x1 + [1] x2 + [1] x3 + [0] 718.05/297.04 718.05/297.04 [true] = [1] 718.05/297.04 718.05/297.04 [gr](x1, x2) = [4] 718.05/297.04 718.05/297.04 [p](x1) = [1] x1 + [1] 718.05/297.04 718.05/297.04 [s](x1) = [1] x1 + [3] 718.05/297.04 718.05/297.04 [0] = [3] 718.05/297.04 718.05/297.04 [false] = [4] 718.05/297.04 718.05/297.04 The order satisfies the following ordering constraints: 718.05/297.04 718.05/297.04 [cond(true(), x, y)] = [1] x + [1] y + [1] 718.05/297.04 ? [1] x + [1] y + [8] 718.05/297.04 = [cond(gr(x, y), p(x), s(y))] 718.05/297.04 718.05/297.04 [gr(s(x), s(y))] = [4] 718.05/297.04 >= [4] 718.05/297.04 = [gr(x, y)] 718.05/297.04 718.05/297.04 [gr(s(x), 0())] = [4] 718.05/297.04 > [1] 718.05/297.04 = [true()] 718.05/297.04 718.05/297.04 [gr(0(), x)] = [4] 718.05/297.04 >= [4] 718.05/297.04 = [false()] 718.05/297.04 718.05/297.04 [p(s(x))] = [1] x + [4] 718.05/297.04 > [1] x + [0] 718.05/297.04 = [x] 718.05/297.04 718.05/297.04 [p(0())] = [4] 718.05/297.04 > [3] 718.05/297.04 = [0()] 718.05/297.04 718.05/297.04 718.05/297.04 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 718.05/297.04 718.05/297.04 We are left with following problem, upon which TcT provides the 718.05/297.04 certificate MAYBE. 718.05/297.04 718.05/297.04 Strict Trs: 718.05/297.04 { cond(true(), x, y) -> cond(gr(x, y), p(x), s(y)) 718.05/297.04 , gr(s(x), s(y)) -> gr(x, y) } 718.05/297.04 Weak Trs: 718.05/297.04 { gr(s(x), 0()) -> true() 718.05/297.04 , gr(0(), x) -> false() 718.05/297.04 , p(s(x)) -> x 718.05/297.04 , p(0()) -> 0() } 718.05/297.04 Obligation: 718.05/297.04 innermost runtime complexity 718.05/297.04 Answer: 718.05/297.04 MAYBE 718.05/297.04 718.05/297.04 None of the processors succeeded. 718.05/297.04 718.05/297.04 Details of failed attempt(s): 718.05/297.04 ----------------------------- 718.05/297.04 1) 'empty' failed due to the following reason: 718.05/297.04 718.05/297.04 Empty strict component of the problem is NOT empty. 718.05/297.04 718.05/297.04 2) 'With Problem ...' failed due to the following reason: 718.05/297.04 718.05/297.04 None of the processors succeeded. 718.05/297.04 718.05/297.04 Details of failed attempt(s): 718.05/297.04 ----------------------------- 718.05/297.04 1) 'empty' failed due to the following reason: 718.05/297.04 718.05/297.04 Empty strict component of the problem is NOT empty. 718.05/297.04 718.05/297.04 2) 'Fastest' failed due to the following reason: 718.05/297.04 718.05/297.04 None of the processors succeeded. 718.05/297.04 718.05/297.04 Details of failed attempt(s): 718.05/297.04 ----------------------------- 718.05/297.04 1) 'With Problem ...' failed due to the following reason: 718.05/297.04 718.05/297.04 None of the processors succeeded. 718.05/297.04 718.05/297.04 Details of failed attempt(s): 718.05/297.04 ----------------------------- 718.05/297.04 1) 'empty' failed due to the following reason: 718.05/297.04 718.05/297.04 Empty strict component of the problem is NOT empty. 718.05/297.04 718.05/297.04 2) 'With Problem ...' failed due to the following reason: 718.05/297.04 718.05/297.04 None of the processors succeeded. 718.05/297.04 718.05/297.04 Details of failed attempt(s): 718.05/297.04 ----------------------------- 718.05/297.04 1) 'empty' failed due to the following reason: 718.05/297.04 718.05/297.04 Empty strict component of the problem is NOT empty. 718.05/297.04 718.05/297.04 2) 'With Problem ...' failed due to the following reason: 718.05/297.04 718.05/297.04 None of the processors succeeded. 718.05/297.04 718.05/297.04 Details of failed attempt(s): 718.05/297.04 ----------------------------- 718.05/297.04 1) 'empty' failed due to the following reason: 718.05/297.04 718.05/297.04 Empty strict component of the problem is NOT empty. 718.05/297.04 718.05/297.04 2) 'With Problem ...' failed due to the following reason: 718.05/297.04 718.05/297.04 Empty strict component of the problem is NOT empty. 718.05/297.04 718.05/297.04 718.05/297.04 718.05/297.04 718.05/297.04 2) 'With Problem ...' failed due to the following reason: 718.05/297.04 718.05/297.04 None of the processors succeeded. 718.05/297.04 718.05/297.04 Details of failed attempt(s): 718.05/297.04 ----------------------------- 718.05/297.04 1) 'empty' failed due to the following reason: 718.05/297.04 718.05/297.04 Empty strict component of the problem is NOT empty. 718.05/297.04 718.05/297.04 2) 'With Problem ...' failed due to the following reason: 718.05/297.04 718.05/297.04 Empty strict component of the problem is NOT empty. 718.05/297.04 718.05/297.04 718.05/297.04 718.05/297.04 718.05/297.04 718.05/297.04 2) 'Best' failed due to the following reason: 718.05/297.04 718.05/297.04 None of the processors succeeded. 718.05/297.04 718.05/297.04 Details of failed attempt(s): 718.05/297.04 ----------------------------- 718.05/297.04 1) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 718.05/297.04 to the following reason: 718.05/297.04 718.05/297.04 The input cannot be shown compatible 718.05/297.04 718.05/297.04 2) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 718.05/297.04 following reason: 718.05/297.04 718.05/297.04 The input cannot be shown compatible 718.05/297.04 718.05/297.04 718.05/297.04 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 718.05/297.04 failed due to the following reason: 718.05/297.04 718.05/297.04 None of the processors succeeded. 718.05/297.04 718.05/297.04 Details of failed attempt(s): 718.05/297.04 ----------------------------- 718.05/297.04 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 718.05/297.04 failed due to the following reason: 718.05/297.04 718.05/297.04 match-boundness of the problem could not be verified. 718.05/297.04 718.05/297.04 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 718.05/297.04 failed due to the following reason: 718.05/297.04 718.05/297.04 match-boundness of the problem could not be verified. 718.05/297.04 718.05/297.04 718.05/297.04 718.05/297.04 718.05/297.04 718.05/297.04 Arrrr.. 718.20/297.19 EOF