MAYBE 536.05/182.91 MAYBE 536.05/182.91 536.05/182.91 We are left with following problem, upon which TcT provides the 536.05/182.91 certificate MAYBE. 536.05/182.91 536.05/182.91 Strict Trs: 536.05/182.91 { a(x1) -> x1 536.05/182.91 , a(b(x1)) -> b(b(a(a(c(a(x1)))))) 536.05/182.91 , c(c(a(x1))) -> x1 } 536.05/182.91 Obligation: 536.05/182.91 derivational complexity 536.05/182.91 Answer: 536.05/182.91 MAYBE 536.05/182.91 536.05/182.91 None of the processors succeeded. 536.05/182.91 536.05/182.91 Details of failed attempt(s): 536.05/182.91 ----------------------------- 536.05/182.91 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 536.05/182.91 the following reason: 536.05/182.91 536.05/182.91 The weightgap principle applies (using the following nonconstant 536.05/182.91 growth matrix-interpretation) 536.05/182.91 536.05/182.91 TcT has computed the following triangular matrix interpretation. 536.05/182.91 Note that the diagonal of the component-wise maxima of 536.05/182.91 interpretation-entries contains no more than 1 non-zero entries. 536.05/182.91 536.05/182.91 [a](x1) = [1] x1 + [1] 536.05/182.91 536.05/182.91 [b](x1) = [1] x1 + [0] 536.05/182.91 536.05/182.91 [c](x1) = [1] x1 + [2] 536.05/182.91 536.05/182.91 The order satisfies the following ordering constraints: 536.05/182.91 536.05/182.91 [a(x1)] = [1] x1 + [1] 536.05/182.91 > [1] x1 + [0] 536.05/182.91 = [x1] 536.05/182.91 536.05/182.91 [a(b(x1))] = [1] x1 + [1] 536.05/182.91 ? [1] x1 + [5] 536.05/182.91 = [b(b(a(a(c(a(x1))))))] 536.05/182.91 536.05/182.91 [c(c(a(x1)))] = [1] x1 + [5] 536.05/182.91 > [1] x1 + [0] 536.05/182.91 = [x1] 536.05/182.91 536.05/182.91 536.05/182.91 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 536.05/182.91 536.05/182.91 We are left with following problem, upon which TcT provides the 536.05/182.91 certificate MAYBE. 536.05/182.91 536.05/182.91 Strict Trs: { a(b(x1)) -> b(b(a(a(c(a(x1)))))) } 536.05/182.91 Weak Trs: 536.05/182.91 { a(x1) -> x1 536.05/182.91 , c(c(a(x1))) -> x1 } 536.05/182.91 Obligation: 536.05/182.91 derivational complexity 536.05/182.91 Answer: 536.05/182.91 MAYBE 536.05/182.91 536.05/182.91 None of the processors succeeded. 536.05/182.91 536.05/182.91 Details of failed attempt(s): 536.05/182.91 ----------------------------- 536.05/182.91 1) 'empty' failed due to the following reason: 536.05/182.91 536.05/182.91 Empty strict component of the problem is NOT empty. 536.05/182.91 536.05/182.91 2) 'Fastest' failed due to the following reason: 536.05/182.91 536.05/182.91 None of the processors succeeded. 536.05/182.91 536.05/182.91 Details of failed attempt(s): 536.05/182.91 ----------------------------- 536.05/182.91 1) 'bsearch-matrix' failed due to the following reason: 536.05/182.91 536.05/182.91 The input cannot be shown compatible 536.05/182.91 536.05/182.91 2) 'iteProgress' failed due to the following reason: 536.05/182.91 536.05/182.91 Fail 536.05/182.91 536.05/182.91 3) 'Fastest' failed due to the following reason: 536.05/182.91 536.05/182.91 None of the processors succeeded. 536.05/182.91 536.05/182.91 Details of failed attempt(s): 536.05/182.91 ----------------------------- 536.05/182.91 1) 'matrix interpretation of dimension 6' failed due to the 536.05/182.91 following reason: 536.05/182.91 536.05/182.91 The input cannot be shown compatible 536.05/182.91 536.05/182.91 2) 'matrix interpretation of dimension 5' failed due to the 536.05/182.91 following reason: 536.05/182.91 536.05/182.91 The input cannot be shown compatible 536.05/182.91 536.05/182.91 3) 'matrix interpretation of dimension 4' failed due to the 536.05/182.91 following reason: 536.05/182.91 536.05/182.91 The input cannot be shown compatible 536.05/182.91 536.05/182.91 4) 'matrix interpretation of dimension 3' failed due to the 536.05/182.91 following reason: 536.05/182.91 536.05/182.91 The input cannot be shown compatible 536.05/182.91 536.05/182.91 5) 'matrix interpretation of dimension 2' failed due to the 536.05/182.91 following reason: 536.05/182.91 536.05/182.91 The input cannot be shown compatible 536.05/182.91 536.05/182.91 6) 'matrix interpretation of dimension 1' failed due to the 536.05/182.91 following reason: 536.05/182.91 536.05/182.91 The input cannot be shown compatible 536.05/182.91 536.05/182.91 536.05/182.91 4) 'Fastest (timeout of 30 seconds)' failed due to the following 536.05/182.91 reason: 536.05/182.91 536.05/182.91 Computation stopped due to timeout after 30.0 seconds. 536.05/182.91 536.05/182.91 536.05/182.91 536.05/182.91 2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 536.05/182.91 following reason: 536.05/182.91 536.05/182.91 The input cannot be shown compatible 536.05/182.91 536.05/182.91 3) 'iteProgress (timeout of 297 seconds)' failed due to the 536.05/182.91 following reason: 536.05/182.91 536.05/182.91 Fail 536.05/182.91 536.05/182.91 4) 'Fastest (timeout of 60 seconds)' failed due to the following 536.05/182.91 reason: 536.05/182.91 536.05/182.91 Computation stopped due to timeout after 60.0 seconds. 536.05/182.91 536.05/182.91 536.05/182.91 Arrrr.. 536.05/182.98 EOF