MAYBE 482.65/166.71 MAYBE 482.65/166.71 482.65/166.71 We are left with following problem, upon which TcT provides the 482.65/166.71 certificate MAYBE. 482.65/166.71 482.65/166.71 Strict Trs: 482.65/166.71 { a(x1) -> x1 482.65/166.71 , a(a(x1)) -> a(b(a(b(c(a(x1)))))) 482.65/166.71 , c(b(x1)) -> a(x1) } 482.65/166.71 Obligation: 482.65/166.71 derivational complexity 482.65/166.71 Answer: 482.65/166.71 MAYBE 482.65/166.71 482.65/166.71 None of the processors succeeded. 482.65/166.71 482.65/166.71 Details of failed attempt(s): 482.65/166.71 ----------------------------- 482.65/166.71 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 482.65/166.71 the following reason: 482.65/166.71 482.65/166.71 The weightgap principle applies (using the following nonconstant 482.65/166.71 growth matrix-interpretation) 482.65/166.71 482.65/166.71 TcT has computed the following triangular matrix interpretation. 482.65/166.71 Note that the diagonal of the component-wise maxima of 482.65/166.71 interpretation-entries contains no more than 1 non-zero entries. 482.65/166.71 482.65/166.71 [a](x1) = [1] x1 + [0] 482.65/166.71 482.65/166.71 [b](x1) = [1] x1 + [0] 482.65/166.71 482.65/166.71 [c](x1) = [1] x1 + [1] 482.65/166.71 482.65/166.71 The order satisfies the following ordering constraints: 482.65/166.71 482.65/166.71 [a(x1)] = [1] x1 + [0] 482.65/166.71 >= [1] x1 + [0] 482.65/166.71 = [x1] 482.65/166.71 482.65/166.71 [a(a(x1))] = [1] x1 + [0] 482.65/166.71 ? [1] x1 + [1] 482.65/166.71 = [a(b(a(b(c(a(x1))))))] 482.65/166.71 482.65/166.71 [c(b(x1))] = [1] x1 + [1] 482.65/166.71 > [1] x1 + [0] 482.65/166.71 = [a(x1)] 482.65/166.71 482.65/166.71 482.65/166.71 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 482.65/166.71 482.65/166.71 We are left with following problem, upon which TcT provides the 482.65/166.71 certificate MAYBE. 482.65/166.71 482.65/166.71 Strict Trs: 482.65/166.71 { a(x1) -> x1 482.65/166.71 , a(a(x1)) -> a(b(a(b(c(a(x1)))))) } 482.65/166.71 Weak Trs: { c(b(x1)) -> a(x1) } 482.65/166.71 Obligation: 482.65/166.71 derivational complexity 482.65/166.71 Answer: 482.65/166.71 MAYBE 482.65/166.71 482.65/166.71 The weightgap principle applies (using the following nonconstant 482.65/166.71 growth matrix-interpretation) 482.65/166.71 482.65/166.71 TcT has computed the following triangular matrix interpretation. 482.65/166.71 Note that the diagonal of the component-wise maxima of 482.65/166.71 interpretation-entries contains no more than 1 non-zero entries. 482.65/166.71 482.65/166.71 [a](x1) = [1] x1 + [1] 482.65/166.71 482.65/166.71 [b](x1) = [1] x1 + [0] 482.65/166.71 482.65/166.71 [c](x1) = [1] x1 + [2] 482.65/166.71 482.65/166.71 The order satisfies the following ordering constraints: 482.65/166.71 482.65/166.71 [a(x1)] = [1] x1 + [1] 482.65/166.71 > [1] x1 + [0] 482.65/166.71 = [x1] 482.65/166.71 482.65/166.71 [a(a(x1))] = [1] x1 + [2] 482.65/166.71 ? [1] x1 + [5] 482.65/166.71 = [a(b(a(b(c(a(x1))))))] 482.65/166.71 482.65/166.71 [c(b(x1))] = [1] x1 + [2] 482.65/166.71 > [1] x1 + [1] 482.65/166.71 = [a(x1)] 482.65/166.71 482.65/166.71 482.65/166.71 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 482.65/166.71 482.65/166.71 We are left with following problem, upon which TcT provides the 482.65/166.71 certificate MAYBE. 482.65/166.71 482.65/166.71 Strict Trs: { a(a(x1)) -> a(b(a(b(c(a(x1)))))) } 482.65/166.71 Weak Trs: 482.65/166.71 { a(x1) -> x1 482.65/166.71 , c(b(x1)) -> a(x1) } 482.65/166.71 Obligation: 482.65/166.71 derivational complexity 482.65/166.71 Answer: 482.65/166.71 MAYBE 482.65/166.71 482.65/166.71 None of the processors succeeded. 482.65/166.71 482.65/166.71 Details of failed attempt(s): 482.65/166.71 ----------------------------- 482.65/166.71 1) 'empty' failed due to the following reason: 482.65/166.71 482.65/166.71 Empty strict component of the problem is NOT empty. 482.65/166.71 482.65/166.71 2) 'Fastest' failed due to the following reason: 482.65/166.71 482.65/166.71 None of the processors succeeded. 482.65/166.71 482.65/166.71 Details of failed attempt(s): 482.65/166.71 ----------------------------- 482.65/166.71 1) 'bsearch-matrix' failed due to the following reason: 482.65/166.71 482.65/166.71 The input cannot be shown compatible 482.65/166.71 482.65/166.71 2) 'iteProgress' failed due to the following reason: 482.65/166.71 482.65/166.71 Fail 482.65/166.71 482.65/166.71 3) 'Fastest' failed due to the following reason: 482.65/166.71 482.65/166.71 None of the processors succeeded. 482.65/166.71 482.65/166.71 Details of failed attempt(s): 482.65/166.71 ----------------------------- 482.65/166.71 1) 'matrix interpretation of dimension 6' failed due to the 482.65/166.71 following reason: 482.65/166.71 482.65/166.71 The input cannot be shown compatible 482.65/166.71 482.65/166.71 2) 'matrix interpretation of dimension 5' failed due to the 482.65/166.71 following reason: 482.65/166.71 482.65/166.71 The input cannot be shown compatible 482.65/166.71 482.65/166.71 3) 'matrix interpretation of dimension 4' failed due to the 482.65/166.71 following reason: 482.65/166.71 482.65/166.71 The input cannot be shown compatible 482.65/166.71 482.65/166.71 4) 'matrix interpretation of dimension 3' failed due to the 482.65/166.71 following reason: 482.65/166.71 482.65/166.71 The input cannot be shown compatible 482.65/166.71 482.65/166.71 5) 'matrix interpretation of dimension 2' failed due to the 482.65/166.71 following reason: 482.65/166.71 482.65/166.71 The input cannot be shown compatible 482.65/166.71 482.65/166.71 6) 'matrix interpretation of dimension 1' failed due to the 482.65/166.71 following reason: 482.65/166.71 482.65/166.71 The input cannot be shown compatible 482.65/166.71 482.65/166.71 482.65/166.71 4) 'Fastest (timeout of 30 seconds)' failed due to the following 482.65/166.71 reason: 482.65/166.71 482.65/166.71 Computation stopped due to timeout after 30.0 seconds. 482.65/166.71 482.65/166.71 482.65/166.71 482.65/166.71 2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 482.65/166.71 following reason: 482.65/166.71 482.65/166.71 The input cannot be shown compatible 482.65/166.71 482.65/166.71 3) 'iteProgress (timeout of 297 seconds)' failed due to the 482.65/166.71 following reason: 482.65/166.71 482.65/166.71 Fail 482.65/166.71 482.65/166.71 4) 'Fastest (timeout of 60 seconds)' failed due to the following 482.65/166.71 reason: 482.65/166.71 482.65/166.71 Computation stopped due to timeout after 60.0 seconds. 482.65/166.71 482.65/166.71 482.65/166.71 Arrrr.. 482.65/166.78 EOF