MAYBE 471.32/160.19 MAYBE 471.32/160.19 471.32/160.19 We are left with following problem, upon which TcT provides the 471.32/160.19 certificate MAYBE. 471.32/160.19 471.32/160.19 Strict Trs: 471.32/160.19 { a(x1) -> x1 471.32/160.19 , a(b(b(x1))) -> b(b(b(c(a(a(x1)))))) 471.32/160.19 , b(c(x1)) -> x1 } 471.32/160.19 Obligation: 471.32/160.19 derivational complexity 471.32/160.19 Answer: 471.32/160.19 MAYBE 471.32/160.19 471.32/160.19 None of the processors succeeded. 471.32/160.19 471.32/160.19 Details of failed attempt(s): 471.32/160.19 ----------------------------- 471.32/160.19 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 471.32/160.19 the following reason: 471.32/160.19 471.32/160.19 The weightgap principle applies (using the following nonconstant 471.32/160.19 growth matrix-interpretation) 471.32/160.19 471.32/160.19 TcT has computed the following triangular matrix interpretation. 471.32/160.19 Note that the diagonal of the component-wise maxima of 471.32/160.19 interpretation-entries contains no more than 1 non-zero entries. 471.32/160.19 471.32/160.19 [a](x1) = [1] x1 + [0] 471.32/160.19 471.32/160.19 [b](x1) = [1] x1 + [0] 471.32/160.19 471.32/160.19 [c](x1) = [1] x1 + [1] 471.32/160.19 471.32/160.19 The order satisfies the following ordering constraints: 471.32/160.19 471.32/160.19 [a(x1)] = [1] x1 + [0] 471.32/160.19 >= [1] x1 + [0] 471.32/160.19 = [x1] 471.32/160.19 471.32/160.19 [a(b(b(x1)))] = [1] x1 + [0] 471.32/160.19 ? [1] x1 + [1] 471.32/160.19 = [b(b(b(c(a(a(x1))))))] 471.32/160.19 471.32/160.19 [b(c(x1))] = [1] x1 + [1] 471.32/160.19 > [1] x1 + [0] 471.32/160.19 = [x1] 471.32/160.19 471.32/160.19 471.32/160.19 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 471.32/160.19 471.32/160.19 We are left with following problem, upon which TcT provides the 471.32/160.19 certificate MAYBE. 471.32/160.19 471.32/160.19 Strict Trs: 471.32/160.19 { a(x1) -> x1 471.32/160.19 , a(b(b(x1))) -> b(b(b(c(a(a(x1)))))) } 471.32/160.19 Weak Trs: { b(c(x1)) -> x1 } 471.32/160.19 Obligation: 471.32/160.19 derivational complexity 471.32/160.19 Answer: 471.32/160.19 MAYBE 471.32/160.19 471.32/160.19 The weightgap principle applies (using the following nonconstant 471.32/160.19 growth matrix-interpretation) 471.32/160.19 471.32/160.19 TcT has computed the following triangular matrix interpretation. 471.32/160.19 Note that the diagonal of the component-wise maxima of 471.32/160.19 interpretation-entries contains no more than 1 non-zero entries. 471.32/160.19 471.32/160.19 [a](x1) = [1] x1 + [1] 471.32/160.19 471.32/160.19 [b](x1) = [1] x1 + [0] 471.32/160.19 471.32/160.19 [c](x1) = [1] x1 + [2] 471.32/160.19 471.32/160.19 The order satisfies the following ordering constraints: 471.32/160.19 471.32/160.19 [a(x1)] = [1] x1 + [1] 471.32/160.19 > [1] x1 + [0] 471.32/160.19 = [x1] 471.32/160.19 471.32/160.19 [a(b(b(x1)))] = [1] x1 + [1] 471.32/160.19 ? [1] x1 + [4] 471.32/160.19 = [b(b(b(c(a(a(x1))))))] 471.32/160.19 471.32/160.19 [b(c(x1))] = [1] x1 + [2] 471.32/160.19 > [1] x1 + [0] 471.32/160.19 = [x1] 471.32/160.19 471.32/160.19 471.32/160.19 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 471.32/160.19 471.32/160.19 We are left with following problem, upon which TcT provides the 471.32/160.19 certificate MAYBE. 471.32/160.19 471.32/160.19 Strict Trs: { a(b(b(x1))) -> b(b(b(c(a(a(x1)))))) } 471.32/160.19 Weak Trs: 471.32/160.19 { a(x1) -> x1 471.32/160.19 , b(c(x1)) -> x1 } 471.32/160.19 Obligation: 471.32/160.19 derivational complexity 471.32/160.19 Answer: 471.32/160.19 MAYBE 471.32/160.19 471.32/160.19 None of the processors succeeded. 471.32/160.19 471.32/160.19 Details of failed attempt(s): 471.32/160.19 ----------------------------- 471.32/160.19 1) 'empty' failed due to the following reason: 471.32/160.19 471.32/160.19 Empty strict component of the problem is NOT empty. 471.32/160.19 471.32/160.19 2) 'Fastest' failed due to the following reason: 471.32/160.19 471.32/160.19 None of the processors succeeded. 471.32/160.19 471.32/160.19 Details of failed attempt(s): 471.32/160.19 ----------------------------- 471.32/160.19 1) 'bsearch-matrix' failed due to the following reason: 471.32/160.19 471.32/160.19 The input cannot be shown compatible 471.32/160.19 471.32/160.19 2) 'iteProgress' failed due to the following reason: 471.32/160.19 471.32/160.19 Fail 471.32/160.19 471.32/160.19 3) 'Fastest' failed due to the following reason: 471.32/160.19 471.32/160.19 None of the processors succeeded. 471.32/160.19 471.32/160.19 Details of failed attempt(s): 471.32/160.19 ----------------------------- 471.32/160.19 1) 'matrix interpretation of dimension 6' failed due to the 471.32/160.19 following reason: 471.32/160.19 471.32/160.19 The input cannot be shown compatible 471.32/160.19 471.32/160.19 2) 'matrix interpretation of dimension 5' failed due to the 471.32/160.19 following reason: 471.32/160.19 471.32/160.19 The input cannot be shown compatible 471.32/160.19 471.32/160.19 3) 'matrix interpretation of dimension 4' failed due to the 471.32/160.19 following reason: 471.32/160.19 471.32/160.19 The input cannot be shown compatible 471.32/160.19 471.32/160.19 4) 'matrix interpretation of dimension 3' failed due to the 471.32/160.19 following reason: 471.32/160.19 471.32/160.19 The input cannot be shown compatible 471.32/160.19 471.32/160.19 5) 'matrix interpretation of dimension 2' failed due to the 471.32/160.19 following reason: 471.32/160.19 471.32/160.19 The input cannot be shown compatible 471.32/160.19 471.32/160.19 6) 'matrix interpretation of dimension 1' failed due to the 471.32/160.19 following reason: 471.32/160.19 471.32/160.19 The input cannot be shown compatible 471.32/160.19 471.32/160.19 471.32/160.19 4) 'Fastest (timeout of 30 seconds)' failed due to the following 471.32/160.19 reason: 471.32/160.19 471.32/160.19 Computation stopped due to timeout after 30.0 seconds. 471.32/160.19 471.32/160.19 471.32/160.19 471.32/160.19 2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 471.32/160.19 following reason: 471.32/160.19 471.32/160.19 The input cannot be shown compatible 471.32/160.19 471.32/160.19 3) 'Fastest (timeout of 60 seconds)' failed due to the following 471.32/160.19 reason: 471.32/160.19 471.32/160.19 Computation stopped due to timeout after 60.0 seconds. 471.32/160.19 471.32/160.19 4) 'iteProgress (timeout of 297 seconds)' failed due to the 471.32/160.19 following reason: 471.32/160.19 471.32/160.19 Fail 471.32/160.19 471.32/160.19 471.32/160.19 Arrrr.. 471.82/160.32 EOF