MAYBE 497.72/175.35 MAYBE 497.72/175.35 497.72/175.35 We are left with following problem, upon which TcT provides the 497.72/175.35 certificate MAYBE. 497.72/175.35 497.72/175.35 Strict Trs: 497.72/175.35 { a(x1) -> x1 497.72/175.35 , a(b(b(x1))) -> b(b(b(c(a(a(x1)))))) 497.72/175.35 , c(b(x1)) -> x1 } 497.72/175.35 Obligation: 497.72/175.35 derivational complexity 497.72/175.35 Answer: 497.72/175.35 MAYBE 497.72/175.35 497.72/175.35 None of the processors succeeded. 497.72/175.35 497.72/175.35 Details of failed attempt(s): 497.72/175.35 ----------------------------- 497.72/175.35 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 497.72/175.35 the following reason: 497.72/175.35 497.72/175.35 The weightgap principle applies (using the following nonconstant 497.72/175.35 growth matrix-interpretation) 497.72/175.35 497.72/175.35 TcT has computed the following triangular matrix interpretation. 497.72/175.35 Note that the diagonal of the component-wise maxima of 497.72/175.35 interpretation-entries contains no more than 1 non-zero entries. 497.72/175.35 497.72/175.35 [a](x1) = [1] x1 + [1] 497.72/175.35 497.72/175.35 [b](x1) = [1] x1 + [0] 497.72/175.35 497.72/175.35 [c](x1) = [1] x1 + [2] 497.72/175.35 497.72/175.35 The order satisfies the following ordering constraints: 497.72/175.35 497.72/175.35 [a(x1)] = [1] x1 + [1] 497.72/175.35 > [1] x1 + [0] 497.72/175.35 = [x1] 497.72/175.35 497.72/175.35 [a(b(b(x1)))] = [1] x1 + [1] 497.72/175.35 ? [1] x1 + [4] 497.72/175.35 = [b(b(b(c(a(a(x1))))))] 497.72/175.35 497.72/175.35 [c(b(x1))] = [1] x1 + [2] 497.72/175.35 > [1] x1 + [0] 497.72/175.35 = [x1] 497.72/175.35 497.72/175.35 497.72/175.35 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 497.72/175.35 497.72/175.35 We are left with following problem, upon which TcT provides the 497.72/175.35 certificate MAYBE. 497.72/175.35 497.72/175.35 Strict Trs: { a(b(b(x1))) -> b(b(b(c(a(a(x1)))))) } 497.72/175.35 Weak Trs: 497.72/175.35 { a(x1) -> x1 497.72/175.35 , c(b(x1)) -> x1 } 497.72/175.35 Obligation: 497.72/175.35 derivational complexity 497.72/175.35 Answer: 497.72/175.35 MAYBE 497.72/175.35 497.72/175.35 None of the processors succeeded. 497.72/175.35 497.72/175.35 Details of failed attempt(s): 497.72/175.35 ----------------------------- 497.72/175.35 1) 'empty' failed due to the following reason: 497.72/175.35 497.72/175.35 Empty strict component of the problem is NOT empty. 497.72/175.35 497.72/175.35 2) 'Fastest' failed due to the following reason: 497.72/175.35 497.72/175.35 None of the processors succeeded. 497.72/175.35 497.72/175.35 Details of failed attempt(s): 497.72/175.35 ----------------------------- 497.72/175.35 1) 'bsearch-matrix' failed due to the following reason: 497.72/175.35 497.72/175.35 The input cannot be shown compatible 497.72/175.35 497.72/175.35 2) 'iteProgress' failed due to the following reason: 497.72/175.35 497.72/175.35 Fail 497.72/175.35 497.72/175.35 3) 'Fastest' failed due to the following reason: 497.72/175.35 497.72/175.35 None of the processors succeeded. 497.72/175.35 497.72/175.35 Details of failed attempt(s): 497.72/175.35 ----------------------------- 497.72/175.35 1) 'matrix interpretation of dimension 6' failed due to the 497.72/175.35 following reason: 497.72/175.35 497.72/175.35 The input cannot be shown compatible 497.72/175.35 497.72/175.35 2) 'matrix interpretation of dimension 5' failed due to the 497.72/175.35 following reason: 497.72/175.35 497.72/175.35 The input cannot be shown compatible 497.72/175.35 497.72/175.35 3) 'matrix interpretation of dimension 4' failed due to the 497.72/175.35 following reason: 497.72/175.35 497.72/175.35 The input cannot be shown compatible 497.72/175.35 497.72/175.35 4) 'matrix interpretation of dimension 3' failed due to the 497.72/175.35 following reason: 497.72/175.35 497.72/175.35 The input cannot be shown compatible 497.72/175.35 497.72/175.35 5) 'matrix interpretation of dimension 2' failed due to the 497.72/175.35 following reason: 497.72/175.35 497.72/175.35 The input cannot be shown compatible 497.72/175.35 497.72/175.35 6) 'matrix interpretation of dimension 1' failed due to the 497.72/175.35 following reason: 497.72/175.35 497.72/175.35 The input cannot be shown compatible 497.72/175.35 497.72/175.35 497.72/175.35 4) 'Fastest (timeout of 30 seconds)' failed due to the following 497.72/175.35 reason: 497.72/175.35 497.72/175.35 Computation stopped due to timeout after 30.0 seconds. 497.72/175.35 497.72/175.35 497.72/175.35 497.72/175.35 2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 497.72/175.35 following reason: 497.72/175.35 497.72/175.35 The input cannot be shown compatible 497.72/175.35 497.72/175.35 3) 'iteProgress (timeout of 297 seconds)' failed due to the 497.72/175.35 following reason: 497.72/175.35 497.72/175.35 Fail 497.72/175.35 497.72/175.35 4) 'Fastest (timeout of 60 seconds)' failed due to the following 497.72/175.35 reason: 497.72/175.35 497.72/175.35 Computation stopped due to timeout after 60.0 seconds. 497.72/175.35 497.72/175.35 497.72/175.35 Arrrr.. 497.97/175.43 EOF