MAYBE 405.54/239.96 MAYBE 405.54/239.96 405.54/239.96 We are left with following problem, upon which TcT provides the 405.54/239.96 certificate MAYBE. 405.54/239.96 405.54/239.96 Strict Trs: 405.54/239.96 { a(x1) -> x1 405.54/239.96 , a(b(x1)) -> b(c(a(x1))) 405.54/239.96 , c(c(a(x1))) -> a(b(a(x1))) } 405.54/239.96 Obligation: 405.54/239.96 derivational complexity 405.54/239.96 Answer: 405.54/239.96 MAYBE 405.54/239.96 405.54/239.96 None of the processors succeeded. 405.54/239.96 405.54/239.96 Details of failed attempt(s): 405.54/239.96 ----------------------------- 405.54/239.96 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 405.54/239.96 the following reason: 405.54/239.96 405.54/239.96 The weightgap principle applies (using the following nonconstant 405.54/239.96 growth matrix-interpretation) 405.54/239.96 405.54/239.96 TcT has computed the following triangular matrix interpretation. 405.54/239.96 Note that the diagonal of the component-wise maxima of 405.54/239.96 interpretation-entries contains no more than 1 non-zero entries. 405.54/239.96 405.54/239.96 [a](x1) = [1] x1 + [1] 405.54/239.96 405.54/239.96 [b](x1) = [1] x1 + [0] 405.54/239.96 405.54/239.96 [c](x1) = [1] x1 + [0] 405.54/239.96 405.54/239.96 The order satisfies the following ordering constraints: 405.54/239.96 405.54/239.96 [a(x1)] = [1] x1 + [1] 405.54/239.96 > [1] x1 + [0] 405.54/239.96 = [x1] 405.54/239.96 405.54/239.96 [a(b(x1))] = [1] x1 + [1] 405.54/239.96 >= [1] x1 + [1] 405.54/239.96 = [b(c(a(x1)))] 405.54/239.96 405.54/239.96 [c(c(a(x1)))] = [1] x1 + [1] 405.54/239.96 ? [1] x1 + [2] 405.54/239.96 = [a(b(a(x1)))] 405.54/239.96 405.54/239.96 405.54/239.96 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 405.54/239.96 405.54/239.96 We are left with following problem, upon which TcT provides the 405.54/239.96 certificate MAYBE. 405.54/239.96 405.54/239.96 Strict Trs: 405.54/239.96 { a(b(x1)) -> b(c(a(x1))) 405.54/239.96 , c(c(a(x1))) -> a(b(a(x1))) } 405.54/239.96 Weak Trs: { a(x1) -> x1 } 405.54/239.96 Obligation: 405.54/239.96 derivational complexity 405.54/239.96 Answer: 405.54/239.96 MAYBE 405.54/239.96 405.54/239.96 The weightgap principle applies (using the following nonconstant 405.54/239.96 growth matrix-interpretation) 405.54/239.96 405.54/239.96 TcT has computed the following triangular matrix interpretation. 405.54/239.96 Note that the diagonal of the component-wise maxima of 405.54/239.96 interpretation-entries contains no more than 1 non-zero entries. 405.54/239.96 405.54/239.96 [a](x1) = [1] x1 + [0] 405.54/239.96 405.54/239.96 [b](x1) = [1] x1 + [0] 405.54/239.96 405.54/239.96 [c](x1) = [1] x1 + [1] 405.54/239.96 405.54/239.96 The order satisfies the following ordering constraints: 405.54/239.96 405.54/239.96 [a(x1)] = [1] x1 + [0] 405.54/239.96 >= [1] x1 + [0] 405.54/239.96 = [x1] 405.54/239.96 405.54/239.96 [a(b(x1))] = [1] x1 + [0] 405.54/239.96 ? [1] x1 + [1] 405.54/239.96 = [b(c(a(x1)))] 405.54/239.96 405.54/239.96 [c(c(a(x1)))] = [1] x1 + [2] 405.54/239.96 > [1] x1 + [0] 405.54/239.96 = [a(b(a(x1)))] 405.54/239.96 405.54/239.96 405.54/239.96 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 405.54/239.96 405.54/239.96 We are left with following problem, upon which TcT provides the 405.54/239.96 certificate MAYBE. 405.54/239.96 405.54/239.96 Strict Trs: { a(b(x1)) -> b(c(a(x1))) } 405.54/239.96 Weak Trs: 405.54/239.96 { a(x1) -> x1 405.54/239.96 , c(c(a(x1))) -> a(b(a(x1))) } 405.54/239.96 Obligation: 405.54/239.96 derivational complexity 405.54/239.96 Answer: 405.54/239.96 MAYBE 405.54/239.96 405.54/239.96 None of the processors succeeded. 405.54/239.96 405.54/239.96 Details of failed attempt(s): 405.54/239.96 ----------------------------- 405.54/239.96 1) 'empty' failed due to the following reason: 405.54/239.96 405.54/239.96 Empty strict component of the problem is NOT empty. 405.54/239.96 405.54/239.96 2) 'Fastest' failed due to the following reason: 405.54/239.96 405.54/239.96 None of the processors succeeded. 405.54/239.96 405.54/239.96 Details of failed attempt(s): 405.54/239.96 ----------------------------- 405.54/239.96 1) 'Fastest' failed due to the following reason: 405.54/239.96 405.54/239.96 None of the processors succeeded. 405.54/239.96 405.54/239.96 Details of failed attempt(s): 405.54/239.96 ----------------------------- 405.54/239.96 1) 'matrix interpretation of dimension 6' failed due to the 405.54/239.96 following reason: 405.54/239.96 405.54/239.96 The input cannot be shown compatible 405.54/239.96 405.54/239.96 2) 'matrix interpretation of dimension 5' failed due to the 405.54/239.96 following reason: 405.54/239.96 405.54/239.96 The input cannot be shown compatible 405.54/239.96 405.54/239.96 3) 'matrix interpretation of dimension 4' failed due to the 405.54/239.96 following reason: 405.54/239.96 405.54/239.96 The input cannot be shown compatible 405.54/239.96 405.54/239.96 4) 'matrix interpretation of dimension 3' failed due to the 405.54/239.96 following reason: 405.54/239.96 405.54/239.96 The input cannot be shown compatible 405.54/239.96 405.54/239.96 5) 'matrix interpretation of dimension 2' failed due to the 405.54/239.96 following reason: 405.54/239.96 405.54/239.96 The input cannot be shown compatible 405.54/239.96 405.54/239.96 6) 'matrix interpretation of dimension 1' failed due to the 405.54/239.96 following reason: 405.54/239.96 405.54/239.96 The input cannot be shown compatible 405.54/239.96 405.54/239.96 405.54/239.96 2) 'Fastest (timeout of 30 seconds)' failed due to the following 405.54/239.96 reason: 405.54/239.96 405.54/239.96 Computation stopped due to timeout after 30.0 seconds. 405.54/239.96 405.54/239.96 3) 'iteProgress' failed due to the following reason: 405.54/239.96 405.54/239.96 Fail 405.54/239.96 405.54/239.96 4) 'bsearch-matrix' failed due to the following reason: 405.54/239.96 405.54/239.96 The input cannot be shown compatible 405.54/239.96 405.54/239.96 405.54/239.96 405.54/239.96 2) 'Fastest (timeout of 60 seconds)' failed due to the following 405.54/239.96 reason: 405.54/239.96 405.54/239.96 Computation stopped due to timeout after 60.0 seconds. 405.54/239.96 405.54/239.96 3) 'iteProgress (timeout of 297 seconds)' failed due to the 405.54/239.96 following reason: 405.54/239.96 405.54/239.96 Fail 405.54/239.96 405.54/239.96 4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 405.54/239.96 following reason: 405.54/239.96 405.54/239.96 The input cannot be shown compatible 405.54/239.96 405.54/239.96 405.54/239.96 Arrrr.. 405.54/239.96 EOF