MAYBE 553.63/186.01 MAYBE 553.63/186.01 553.63/186.01 We are left with following problem, upon which TcT provides the 553.63/186.01 certificate MAYBE. 553.63/186.01 553.63/186.01 Strict Trs: 553.63/186.01 { a(x1) -> x1 553.63/186.01 , a(a(b(x1))) -> b(b(c(a(a(a(x1)))))) 553.63/186.01 , c(a(x1)) -> x1 } 553.63/186.01 Obligation: 553.63/186.01 derivational complexity 553.63/186.01 Answer: 553.63/186.01 MAYBE 553.63/186.01 553.63/186.01 None of the processors succeeded. 553.63/186.01 553.63/186.01 Details of failed attempt(s): 553.63/186.01 ----------------------------- 553.63/186.01 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 553.63/186.01 the following reason: 553.63/186.01 553.63/186.01 The weightgap principle applies (using the following nonconstant 553.63/186.01 growth matrix-interpretation) 553.63/186.01 553.63/186.01 TcT has computed the following triangular matrix interpretation. 553.63/186.01 Note that the diagonal of the component-wise maxima of 553.63/186.01 interpretation-entries contains no more than 1 non-zero entries. 553.63/186.01 553.63/186.01 [a](x1) = [1] x1 + [0] 553.63/186.01 553.63/186.01 [b](x1) = [1] x1 + [0] 553.63/186.01 553.63/186.01 [c](x1) = [1] x1 + [1] 553.63/186.01 553.63/186.01 The order satisfies the following ordering constraints: 553.63/186.01 553.63/186.01 [a(x1)] = [1] x1 + [0] 553.63/186.01 >= [1] x1 + [0] 553.63/186.01 = [x1] 553.63/186.01 553.63/186.01 [a(a(b(x1)))] = [1] x1 + [0] 553.63/186.01 ? [1] x1 + [1] 553.63/186.01 = [b(b(c(a(a(a(x1))))))] 553.63/186.01 553.63/186.01 [c(a(x1))] = [1] x1 + [1] 553.63/186.01 > [1] x1 + [0] 553.63/186.01 = [x1] 553.63/186.01 553.63/186.01 553.63/186.01 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 553.63/186.01 553.63/186.01 We are left with following problem, upon which TcT provides the 553.63/186.01 certificate MAYBE. 553.63/186.01 553.63/186.01 Strict Trs: 553.63/186.01 { a(x1) -> x1 553.63/186.01 , a(a(b(x1))) -> b(b(c(a(a(a(x1)))))) } 553.63/186.01 Weak Trs: { c(a(x1)) -> x1 } 553.63/186.01 Obligation: 553.63/186.01 derivational complexity 553.63/186.01 Answer: 553.63/186.01 MAYBE 553.63/186.01 553.63/186.01 The weightgap principle applies (using the following nonconstant 553.63/186.01 growth matrix-interpretation) 553.63/186.01 553.63/186.01 TcT has computed the following triangular matrix interpretation. 553.63/186.01 Note that the diagonal of the component-wise maxima of 553.63/186.01 interpretation-entries contains no more than 1 non-zero entries. 553.63/186.01 553.63/186.01 [a](x1) = [1] x1 + [2] 553.63/186.01 553.63/186.01 [b](x1) = [1] x1 + [0] 553.63/186.01 553.63/186.01 [c](x1) = [1] x1 + [0] 553.63/186.01 553.63/186.01 The order satisfies the following ordering constraints: 553.63/186.01 553.63/186.01 [a(x1)] = [1] x1 + [2] 553.63/186.01 > [1] x1 + [0] 553.63/186.01 = [x1] 553.63/186.01 553.63/186.01 [a(a(b(x1)))] = [1] x1 + [4] 553.63/186.01 ? [1] x1 + [6] 553.63/186.01 = [b(b(c(a(a(a(x1))))))] 553.63/186.01 553.63/186.01 [c(a(x1))] = [1] x1 + [2] 553.63/186.01 > [1] x1 + [0] 553.63/186.01 = [x1] 553.63/186.01 553.63/186.01 553.63/186.01 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 553.63/186.01 553.63/186.01 We are left with following problem, upon which TcT provides the 553.63/186.01 certificate MAYBE. 553.63/186.01 553.63/186.01 Strict Trs: { a(a(b(x1))) -> b(b(c(a(a(a(x1)))))) } 553.63/186.01 Weak Trs: 553.63/186.01 { a(x1) -> x1 553.63/186.01 , c(a(x1)) -> x1 } 553.63/186.01 Obligation: 553.63/186.01 derivational complexity 553.63/186.01 Answer: 553.63/186.01 MAYBE 553.63/186.01 553.63/186.01 None of the processors succeeded. 553.63/186.01 553.63/186.01 Details of failed attempt(s): 553.63/186.01 ----------------------------- 553.63/186.01 1) 'empty' failed due to the following reason: 553.63/186.01 553.63/186.01 Empty strict component of the problem is NOT empty. 553.63/186.01 553.63/186.01 2) 'Fastest' failed due to the following reason: 553.63/186.01 553.63/186.01 None of the processors succeeded. 553.63/186.01 553.63/186.01 Details of failed attempt(s): 553.63/186.01 ----------------------------- 553.63/186.01 1) 'bsearch-matrix' failed due to the following reason: 553.63/186.01 553.63/186.01 The input cannot be shown compatible 553.63/186.01 553.63/186.01 2) 'iteProgress' failed due to the following reason: 553.63/186.01 553.63/186.01 Fail 553.63/186.01 553.63/186.01 3) 'Fastest' failed due to the following reason: 553.63/186.01 553.63/186.01 None of the processors succeeded. 553.63/186.01 553.63/186.01 Details of failed attempt(s): 553.63/186.01 ----------------------------- 553.63/186.01 1) 'matrix interpretation of dimension 6' failed due to the 553.63/186.01 following reason: 553.63/186.01 553.63/186.01 The input cannot be shown compatible 553.63/186.01 553.63/186.01 2) 'matrix interpretation of dimension 5' failed due to the 553.63/186.01 following reason: 553.63/186.01 553.63/186.01 The input cannot be shown compatible 553.63/186.01 553.63/186.01 3) 'matrix interpretation of dimension 4' failed due to the 553.63/186.01 following reason: 553.63/186.01 553.63/186.01 The input cannot be shown compatible 553.63/186.01 553.63/186.01 4) 'matrix interpretation of dimension 3' failed due to the 553.63/186.01 following reason: 553.63/186.01 553.63/186.01 The input cannot be shown compatible 553.63/186.01 553.63/186.01 5) 'matrix interpretation of dimension 2' failed due to the 553.63/186.01 following reason: 553.63/186.01 553.63/186.01 The input cannot be shown compatible 553.63/186.01 553.63/186.01 6) 'matrix interpretation of dimension 1' failed due to the 553.63/186.01 following reason: 553.63/186.01 553.63/186.01 The input cannot be shown compatible 553.63/186.01 553.63/186.01 553.63/186.01 4) 'Fastest (timeout of 30 seconds)' failed due to the following 553.63/186.01 reason: 553.63/186.01 553.63/186.01 Computation stopped due to timeout after 30.0 seconds. 553.63/186.01 553.63/186.01 553.63/186.01 553.63/186.01 2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 553.63/186.01 following reason: 553.63/186.01 553.63/186.01 The input cannot be shown compatible 553.63/186.01 553.63/186.01 3) 'iteProgress (timeout of 297 seconds)' failed due to the 553.63/186.01 following reason: 553.63/186.01 553.63/186.01 Fail 553.63/186.01 553.63/186.01 4) 'Fastest (timeout of 60 seconds)' failed due to the following 553.63/186.01 reason: 553.63/186.01 553.63/186.01 Computation stopped due to timeout after 60.0 seconds. 553.63/186.01 553.63/186.01 553.63/186.01 Arrrr.. 553.75/186.10 EOF