MAYBE 562.44/201.75 MAYBE 562.44/201.75 562.44/201.75 We are left with following problem, upon which TcT provides the 562.44/201.75 certificate MAYBE. 562.44/201.75 562.44/201.75 Strict Trs: 562.44/201.75 { a(a(a(b(x1)))) -> b(a(b(a(a(a(x1)))))) 562.44/201.75 , a(b(x1)) -> x1 } 562.44/201.75 Obligation: 562.44/201.75 derivational complexity 562.44/201.75 Answer: 562.44/201.75 MAYBE 562.44/201.75 562.44/201.75 None of the processors succeeded. 562.44/201.75 562.44/201.75 Details of failed attempt(s): 562.44/201.75 ----------------------------- 562.44/201.75 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 562.44/201.75 the following reason: 562.44/201.75 562.44/201.75 The weightgap principle applies (using the following nonconstant 562.44/201.75 growth matrix-interpretation) 562.44/201.75 562.44/201.75 TcT has computed the following triangular matrix interpretation. 562.44/201.75 Note that the diagonal of the component-wise maxima of 562.44/201.75 interpretation-entries contains no more than 1 non-zero entries. 562.44/201.75 562.44/201.75 [a](x1) = [1] x1 + [0] 562.44/201.75 562.44/201.75 [b](x1) = [1] x1 + [1] 562.44/201.75 562.44/201.75 The order satisfies the following ordering constraints: 562.44/201.75 562.44/201.75 [a(a(a(b(x1))))] = [1] x1 + [1] 562.44/201.75 ? [1] x1 + [2] 562.44/201.75 = [b(a(b(a(a(a(x1))))))] 562.44/201.75 562.44/201.75 [a(b(x1))] = [1] x1 + [1] 562.44/201.75 > [1] x1 + [0] 562.44/201.75 = [x1] 562.44/201.75 562.44/201.75 562.44/201.75 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 562.44/201.75 562.44/201.75 We are left with following problem, upon which TcT provides the 562.44/201.75 certificate MAYBE. 562.44/201.75 562.44/201.75 Strict Trs: { a(a(a(b(x1)))) -> b(a(b(a(a(a(x1)))))) } 562.44/201.75 Weak Trs: { a(b(x1)) -> x1 } 562.44/201.75 Obligation: 562.44/201.75 derivational complexity 562.44/201.75 Answer: 562.44/201.75 MAYBE 562.44/201.75 562.44/201.75 None of the processors succeeded. 562.44/201.75 562.44/201.75 Details of failed attempt(s): 562.44/201.75 ----------------------------- 562.44/201.75 1) 'empty' failed due to the following reason: 562.44/201.75 562.44/201.75 Empty strict component of the problem is NOT empty. 562.44/201.75 562.44/201.75 2) 'Fastest' failed due to the following reason: 562.44/201.75 562.44/201.75 None of the processors succeeded. 562.44/201.75 562.44/201.75 Details of failed attempt(s): 562.44/201.75 ----------------------------- 562.44/201.75 1) 'bsearch-matrix' failed due to the following reason: 562.44/201.75 562.44/201.75 The input cannot be shown compatible 562.44/201.75 562.44/201.75 2) 'iteProgress' failed due to the following reason: 562.44/201.75 562.44/201.75 Fail 562.44/201.75 562.44/201.75 3) 'Fastest' failed due to the following reason: 562.44/201.75 562.44/201.75 None of the processors succeeded. 562.44/201.75 562.44/201.75 Details of failed attempt(s): 562.44/201.75 ----------------------------- 562.44/201.75 1) 'matrix interpretation of dimension 6' failed due to the 562.44/201.75 following reason: 562.44/201.75 562.44/201.75 The input cannot be shown compatible 562.44/201.75 562.44/201.75 2) 'matrix interpretation of dimension 5' failed due to the 562.44/201.75 following reason: 562.44/201.75 562.44/201.75 The input cannot be shown compatible 562.44/201.75 562.44/201.75 3) 'matrix interpretation of dimension 4' failed due to the 562.44/201.75 following reason: 562.44/201.75 562.44/201.75 The input cannot be shown compatible 562.44/201.75 562.44/201.75 4) 'matrix interpretation of dimension 3' failed due to the 562.44/201.75 following reason: 562.44/201.75 562.44/201.75 The input cannot be shown compatible 562.44/201.75 562.44/201.75 5) 'matrix interpretation of dimension 2' failed due to the 562.44/201.75 following reason: 562.44/201.75 562.44/201.75 The input cannot be shown compatible 562.44/201.75 562.44/201.75 6) 'matrix interpretation of dimension 1' failed due to the 562.44/201.75 following reason: 562.44/201.75 562.44/201.75 The input cannot be shown compatible 562.44/201.75 562.44/201.75 562.44/201.75 4) 'Fastest (timeout of 30 seconds)' failed due to the following 562.44/201.75 reason: 562.44/201.75 562.44/201.75 Computation stopped due to timeout after 30.0 seconds. 562.44/201.75 562.44/201.75 562.44/201.75 562.44/201.75 2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 562.44/201.75 following reason: 562.44/201.75 562.44/201.75 The input cannot be shown compatible 562.44/201.75 562.44/201.75 3) 'iteProgress (timeout of 297 seconds)' failed due to the 562.44/201.75 following reason: 562.44/201.75 562.44/201.75 Fail 562.44/201.75 562.44/201.75 4) 'Fastest (timeout of 60 seconds)' failed due to the following 562.44/201.75 reason: 562.44/201.75 562.44/201.75 Computation stopped due to timeout after 60.0 seconds. 562.44/201.75 562.44/201.75 562.44/201.75 Arrrr.. 562.70/201.87 EOF