MAYBE 303.88/134.07 MAYBE 303.88/134.07 303.88/134.07 We are left with following problem, upon which TcT provides the 303.88/134.07 certificate MAYBE. 303.88/134.07 303.88/134.07 Strict Trs: 303.88/134.07 { a(x1) -> x1 303.88/134.07 , a(b(x1)) -> b(a(c(a(a(x1))))) 303.88/134.07 , c(c(c(x1))) -> b(x1) } 303.88/134.07 Obligation: 303.88/134.07 derivational complexity 303.88/134.07 Answer: 303.88/134.07 MAYBE 303.88/134.07 303.88/134.07 None of the processors succeeded. 303.88/134.07 303.88/134.07 Details of failed attempt(s): 303.88/134.07 ----------------------------- 303.88/134.07 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 303.88/134.07 the following reason: 303.88/134.07 303.88/134.07 The weightgap principle applies (using the following nonconstant 303.88/134.07 growth matrix-interpretation) 303.88/134.07 303.88/134.07 TcT has computed the following triangular matrix interpretation. 303.88/134.07 Note that the diagonal of the component-wise maxima of 303.88/134.07 interpretation-entries contains no more than 1 non-zero entries. 303.88/134.07 303.88/134.07 [a](x1) = [1] x1 + [1] 303.88/134.07 303.88/134.07 [b](x1) = [1] x1 + [0] 303.88/134.07 303.88/134.07 [c](x1) = [1] x1 + [2] 303.88/134.07 303.88/134.07 The order satisfies the following ordering constraints: 303.88/134.07 303.88/134.07 [a(x1)] = [1] x1 + [1] 303.88/134.07 > [1] x1 + [0] 303.88/134.07 = [x1] 303.88/134.07 303.88/134.07 [a(b(x1))] = [1] x1 + [1] 303.88/134.07 ? [1] x1 + [5] 303.88/134.07 = [b(a(c(a(a(x1)))))] 303.88/134.07 303.88/134.07 [c(c(c(x1)))] = [1] x1 + [6] 303.88/134.07 > [1] x1 + [0] 303.88/134.07 = [b(x1)] 303.88/134.07 303.88/134.07 303.88/134.07 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 303.88/134.07 303.88/134.07 We are left with following problem, upon which TcT provides the 303.88/134.07 certificate MAYBE. 303.88/134.07 303.88/134.07 Strict Trs: { a(b(x1)) -> b(a(c(a(a(x1))))) } 303.88/134.07 Weak Trs: 303.88/134.07 { a(x1) -> x1 303.88/134.07 , c(c(c(x1))) -> b(x1) } 303.88/134.07 Obligation: 303.88/134.07 derivational complexity 303.88/134.07 Answer: 303.88/134.07 MAYBE 303.88/134.07 303.88/134.07 None of the processors succeeded. 303.88/134.07 303.88/134.07 Details of failed attempt(s): 303.88/134.07 ----------------------------- 303.88/134.07 1) 'empty' failed due to the following reason: 303.88/134.07 303.88/134.07 Empty strict component of the problem is NOT empty. 303.88/134.07 303.88/134.07 2) 'Fastest' failed due to the following reason: 303.88/134.07 303.88/134.07 None of the processors succeeded. 303.88/134.07 303.88/134.07 Details of failed attempt(s): 303.88/134.07 ----------------------------- 303.88/134.07 1) 'Fastest' failed due to the following reason: 303.88/134.07 303.88/134.07 None of the processors succeeded. 303.88/134.07 303.88/134.07 Details of failed attempt(s): 303.88/134.07 ----------------------------- 303.88/134.07 1) 'matrix interpretation of dimension 6' failed due to the 303.88/134.07 following reason: 303.88/134.07 303.88/134.07 The input cannot be shown compatible 303.88/134.07 303.88/134.07 2) 'matrix interpretation of dimension 5' failed due to the 303.88/134.07 following reason: 303.88/134.07 303.88/134.07 The input cannot be shown compatible 303.88/134.07 303.88/134.07 3) 'matrix interpretation of dimension 4' failed due to the 303.88/134.07 following reason: 303.88/134.07 303.88/134.07 The input cannot be shown compatible 303.88/134.07 303.88/134.07 4) 'matrix interpretation of dimension 3' failed due to the 303.88/134.07 following reason: 303.88/134.07 303.88/134.07 The input cannot be shown compatible 303.88/134.07 303.88/134.07 5) 'matrix interpretation of dimension 2' failed due to the 303.88/134.07 following reason: 303.88/134.07 303.88/134.07 The input cannot be shown compatible 303.88/134.07 303.88/134.07 6) 'matrix interpretation of dimension 1' failed due to the 303.88/134.07 following reason: 303.88/134.07 303.88/134.07 The input cannot be shown compatible 303.88/134.07 303.88/134.07 303.88/134.07 2) 'bsearch-matrix' failed due to the following reason: 303.88/134.07 303.88/134.07 The input cannot be shown compatible 303.88/134.07 303.88/134.07 3) 'iteProgress' failed due to the following reason: 303.88/134.07 303.88/134.07 Fail 303.88/134.07 303.88/134.07 4) 'Fastest (timeout of 30 seconds)' failed due to the following 303.88/134.07 reason: 303.88/134.07 303.88/134.07 Computation stopped due to timeout after 30.0 seconds. 303.88/134.07 303.88/134.07 303.88/134.07 303.88/134.07 2) 'Fastest (timeout of 60 seconds)' failed due to the following 303.88/134.07 reason: 303.88/134.07 303.88/134.07 Computation stopped due to timeout after 60.0 seconds. 303.88/134.07 303.88/134.07 3) 'iteProgress (timeout of 297 seconds)' failed due to the 303.88/134.07 following reason: 303.88/134.07 303.88/134.07 Fail 303.88/134.07 303.88/134.07 4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 303.88/134.07 following reason: 303.88/134.07 303.88/134.07 The input cannot be shown compatible 303.88/134.07 303.88/134.07 303.88/134.07 Arrrr.. 303.99/134.12 EOF