MAYBE 418.29/253.58 MAYBE 418.29/253.58 418.29/253.58 We are left with following problem, upon which TcT provides the 418.29/253.58 certificate MAYBE. 418.29/253.58 418.29/253.58 Strict Trs: 418.29/253.58 { a(b(a(x1))) -> b(x1) 418.29/253.58 , b(a(b(x1))) -> b(b(b(x1))) 418.29/253.58 , b(b(x1)) -> a(a(a(x1))) } 418.29/253.58 Obligation: 418.29/253.58 derivational complexity 418.29/253.58 Answer: 418.29/253.58 MAYBE 418.29/253.58 418.29/253.58 None of the processors succeeded. 418.29/253.58 418.29/253.58 Details of failed attempt(s): 418.29/253.58 ----------------------------- 418.29/253.58 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 418.29/253.58 the following reason: 418.29/253.58 418.29/253.58 The weightgap principle applies (using the following nonconstant 418.29/253.58 growth matrix-interpretation) 418.29/253.58 418.29/253.58 TcT has computed the following triangular matrix interpretation. 418.29/253.58 Note that the diagonal of the component-wise maxima of 418.29/253.58 interpretation-entries contains no more than 1 non-zero entries. 418.29/253.58 418.29/253.58 [a](x1) = [1] x1 + [1] 418.29/253.58 418.29/253.58 [b](x1) = [1] x1 + [2] 418.29/253.58 418.29/253.58 The order satisfies the following ordering constraints: 418.29/253.58 418.29/253.58 [a(b(a(x1)))] = [1] x1 + [4] 418.29/253.58 > [1] x1 + [2] 418.29/253.58 = [b(x1)] 418.29/253.58 418.29/253.58 [b(a(b(x1)))] = [1] x1 + [5] 418.29/253.58 ? [1] x1 + [6] 418.29/253.58 = [b(b(b(x1)))] 418.29/253.58 418.29/253.58 [b(b(x1))] = [1] x1 + [4] 418.29/253.58 > [1] x1 + [3] 418.29/253.58 = [a(a(a(x1)))] 418.29/253.58 418.29/253.58 418.29/253.58 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 418.29/253.58 418.29/253.58 We are left with following problem, upon which TcT provides the 418.29/253.58 certificate MAYBE. 418.29/253.58 418.29/253.58 Strict Trs: { b(a(b(x1))) -> b(b(b(x1))) } 418.29/253.58 Weak Trs: 418.29/253.58 { a(b(a(x1))) -> b(x1) 418.29/253.58 , b(b(x1)) -> a(a(a(x1))) } 418.29/253.58 Obligation: 418.29/253.58 derivational complexity 418.29/253.58 Answer: 418.29/253.58 MAYBE 418.29/253.58 418.29/253.58 None of the processors succeeded. 418.29/253.58 418.29/253.58 Details of failed attempt(s): 418.29/253.58 ----------------------------- 418.29/253.58 1) 'empty' failed due to the following reason: 418.29/253.58 418.29/253.58 Empty strict component of the problem is NOT empty. 418.29/253.58 418.29/253.58 2) 'Fastest' failed due to the following reason: 418.29/253.58 418.29/253.58 None of the processors succeeded. 418.29/253.58 418.29/253.58 Details of failed attempt(s): 418.29/253.58 ----------------------------- 418.29/253.58 1) 'Fastest' failed due to the following reason: 418.29/253.58 418.29/253.58 None of the processors succeeded. 418.29/253.58 418.29/253.58 Details of failed attempt(s): 418.29/253.58 ----------------------------- 418.29/253.58 1) 'matrix interpretation of dimension 6' failed due to the 418.29/253.58 following reason: 418.29/253.58 418.29/253.58 The input cannot be shown compatible 418.29/253.58 418.29/253.58 2) 'matrix interpretation of dimension 5' failed due to the 418.29/253.58 following reason: 418.29/253.58 418.29/253.58 The input cannot be shown compatible 418.29/253.58 418.29/253.58 3) 'matrix interpretation of dimension 4' failed due to the 418.29/253.58 following reason: 418.29/253.58 418.29/253.58 The input cannot be shown compatible 418.29/253.58 418.29/253.58 4) 'matrix interpretation of dimension 3' failed due to the 418.29/253.58 following reason: 418.29/253.58 418.29/253.58 The input cannot be shown compatible 418.29/253.58 418.29/253.58 5) 'matrix interpretation of dimension 2' failed due to the 418.29/253.58 following reason: 418.29/253.58 418.29/253.58 The input cannot be shown compatible 418.29/253.58 418.29/253.58 6) 'matrix interpretation of dimension 1' failed due to the 418.29/253.58 following reason: 418.29/253.58 418.29/253.58 The input cannot be shown compatible 418.29/253.58 418.29/253.58 418.29/253.58 2) 'Fastest (timeout of 30 seconds)' failed due to the following 418.29/253.58 reason: 418.29/253.58 418.29/253.58 Computation stopped due to timeout after 30.0 seconds. 418.29/253.58 418.29/253.58 3) 'iteProgress' failed due to the following reason: 418.29/253.58 418.29/253.58 Fail 418.29/253.58 418.29/253.58 4) 'bsearch-matrix' failed due to the following reason: 418.29/253.58 418.29/253.58 The input cannot be shown compatible 418.29/253.58 418.29/253.58 418.29/253.58 418.29/253.58 2) 'Fastest (timeout of 60 seconds)' failed due to the following 418.29/253.58 reason: 418.29/253.58 418.29/253.58 Computation stopped due to timeout after 60.0 seconds. 418.29/253.58 418.29/253.58 3) 'iteProgress (timeout of 297 seconds)' failed due to the 418.29/253.58 following reason: 418.29/253.58 418.29/253.58 Fail 418.29/253.58 418.29/253.58 4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 418.29/253.58 following reason: 418.29/253.58 418.29/253.58 The input cannot be shown compatible 418.29/253.58 418.29/253.58 418.29/253.58 Arrrr.. 418.29/253.59 EOF