MAYBE 216.16/60.03 MAYBE 216.16/60.03 216.16/60.03 We are left with following problem, upon which TcT provides the 216.16/60.03 certificate MAYBE. 216.16/60.03 216.16/60.03 Strict Trs: 216.16/60.03 { minus(minus(x)) -> x 216.16/60.03 , minus(+(x, y)) -> 216.16/60.03 *(minus(minus(minus(x))), minus(minus(minus(y)))) 216.16/60.03 , minus(*(x, y)) -> 216.16/60.03 +(minus(minus(minus(x))), minus(minus(minus(y)))) 216.16/60.03 , f(minus(x)) -> minus(minus(minus(f(x)))) } 216.16/60.03 Obligation: 216.16/60.03 derivational complexity 216.16/60.03 Answer: 216.16/60.03 MAYBE 216.16/60.03 216.16/60.03 None of the processors succeeded. 216.16/60.03 216.16/60.03 Details of failed attempt(s): 216.16/60.03 ----------------------------- 216.16/60.03 1) 'Fastest (timeout of 60 seconds)' failed due to the following 216.16/60.03 reason: 216.16/60.03 216.16/60.03 Computation stopped due to timeout after 60.0 seconds. 216.16/60.03 216.16/60.03 2) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 216.16/60.03 the following reason: 216.16/60.03 216.16/60.03 The weightgap principle applies (using the following nonconstant 216.16/60.03 growth matrix-interpretation) 216.16/60.03 216.16/60.03 TcT has computed the following triangular matrix interpretation. 216.16/60.03 Note that the diagonal of the component-wise maxima of 216.16/60.03 interpretation-entries contains no more than 1 non-zero entries. 216.16/60.03 216.16/60.03 [minus](x1) = [1] x1 + [0] 216.16/60.03 216.16/60.03 [+](x1, x2) = [1] x1 + [1] x2 + [1] 216.16/60.03 216.16/60.03 [*](x1, x2) = [1] x1 + [1] x2 + [0] 216.16/60.03 216.16/60.03 [f](x1) = [1] x1 + [0] 216.16/60.03 216.16/60.03 The order satisfies the following ordering constraints: 216.16/60.03 216.16/60.03 [minus(minus(x))] = [1] x + [0] 216.16/60.03 >= [1] x + [0] 216.16/60.03 = [x] 216.16/60.03 216.16/60.03 [minus(+(x, y))] = [1] x + [1] y + [1] 216.16/60.03 > [1] x + [1] y + [0] 216.16/60.03 = [*(minus(minus(minus(x))), minus(minus(minus(y))))] 216.16/60.03 216.16/60.03 [minus(*(x, y))] = [1] x + [1] y + [0] 216.16/60.03 ? [1] x + [1] y + [1] 216.16/60.03 = [+(minus(minus(minus(x))), minus(minus(minus(y))))] 216.16/60.03 216.16/60.03 [f(minus(x))] = [1] x + [0] 216.16/60.03 >= [1] x + [0] 216.16/60.03 = [minus(minus(minus(f(x))))] 216.16/60.03 216.16/60.03 216.16/60.03 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 216.16/60.03 216.16/60.03 We are left with following problem, upon which TcT provides the 216.16/60.03 certificate MAYBE. 216.16/60.03 216.16/60.03 Strict Trs: 216.16/60.03 { minus(minus(x)) -> x 216.16/60.03 , minus(*(x, y)) -> 216.16/60.03 +(minus(minus(minus(x))), minus(minus(minus(y)))) 216.16/60.03 , f(minus(x)) -> minus(minus(minus(f(x)))) } 216.16/60.03 Weak Trs: 216.16/60.03 { minus(+(x, y)) -> 216.16/60.03 *(minus(minus(minus(x))), minus(minus(minus(y)))) } 216.16/60.03 Obligation: 216.16/60.03 derivational complexity 216.16/60.03 Answer: 216.16/60.03 MAYBE 216.16/60.03 216.16/60.03 None of the processors succeeded. 216.16/60.03 216.16/60.03 Details of failed attempt(s): 216.16/60.03 ----------------------------- 216.16/60.03 1) 'empty' failed due to the following reason: 216.16/60.03 216.16/60.03 Empty strict component of the problem is NOT empty. 216.16/60.03 216.16/60.03 2) 'Fastest' failed due to the following reason: 216.16/60.03 216.16/60.03 None of the processors succeeded. 216.16/60.03 216.16/60.03 Details of failed attempt(s): 216.16/60.03 ----------------------------- 216.16/60.03 1) 'iteProgress' failed due to the following reason: 216.16/60.03 216.16/60.03 Fail 216.16/60.03 216.16/60.03 2) 'Fastest' failed due to the following reason: 216.16/60.03 216.16/60.03 None of the processors succeeded. 216.16/60.03 216.16/60.03 Details of failed attempt(s): 216.16/60.03 ----------------------------- 216.16/60.03 1) 'matrix interpretation of dimension 6' failed due to the 216.16/60.03 following reason: 216.16/60.03 216.16/60.03 The input cannot be shown compatible 216.16/60.03 216.16/60.03 2) 'matrix interpretation of dimension 5' failed due to the 216.16/60.03 following reason: 216.16/60.03 216.16/60.03 The input cannot be shown compatible 216.16/60.03 216.16/60.03 3) 'matrix interpretation of dimension 4' failed due to the 216.16/60.03 following reason: 216.16/60.03 216.16/60.03 The input cannot be shown compatible 216.16/60.03 216.16/60.03 4) 'matrix interpretation of dimension 3' failed due to the 216.16/60.03 following reason: 216.16/60.03 216.16/60.03 The input cannot be shown compatible 216.16/60.03 216.16/60.03 5) 'matrix interpretation of dimension 2' failed due to the 216.16/60.03 following reason: 216.16/60.03 216.16/60.03 The input cannot be shown compatible 216.16/60.03 216.16/60.03 6) 'matrix interpretation of dimension 1' failed due to the 216.16/60.03 following reason: 216.16/60.03 216.16/60.03 The input cannot be shown compatible 216.16/60.03 216.16/60.03 216.16/60.03 3) 'bsearch-matrix' failed due to the following reason: 216.16/60.03 216.16/60.03 The input cannot be shown compatible 216.16/60.03 216.16/60.03 4) 'Fastest (timeout of 30 seconds)' failed due to the following 216.16/60.03 reason: 216.16/60.03 216.16/60.03 Computation stopped due to timeout after 30.0 seconds. 216.16/60.03 216.16/60.03 216.16/60.03 216.16/60.03 3) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 216.16/60.03 following reason: 216.16/60.03 216.16/60.03 The input cannot be shown compatible 216.16/60.03 216.16/60.03 4) 'iteProgress (timeout of 297 seconds)' failed due to the 216.16/60.03 following reason: 216.16/60.03 216.16/60.03 Fail 216.16/60.03 216.16/60.03 216.16/60.03 Arrrr.. 216.16/60.03 EOF