MAYBE 202.21/60.17 MAYBE 202.21/60.17 202.21/60.17 We are left with following problem, upon which TcT provides the 202.21/60.17 certificate MAYBE. 202.21/60.17 202.21/60.17 Strict Trs: 202.21/60.17 { a(x1) -> b(c(x1)) 202.21/60.17 , a(b(b(x1))) -> b(b(a(a(x1)))) 202.21/60.17 , c(b(x1)) -> x1 } 202.21/60.17 Obligation: 202.21/60.17 derivational complexity 202.21/60.17 Answer: 202.21/60.17 MAYBE 202.21/60.17 202.21/60.17 None of the processors succeeded. 202.21/60.17 202.21/60.17 Details of failed attempt(s): 202.21/60.17 ----------------------------- 202.21/60.17 1) 'Fastest (timeout of 60 seconds)' failed due to the following 202.21/60.17 reason: 202.21/60.17 202.21/60.17 Computation stopped due to timeout after 60.0 seconds. 202.21/60.17 202.21/60.17 2) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 202.21/60.17 the following reason: 202.21/60.17 202.21/60.17 The weightgap principle applies (using the following nonconstant 202.21/60.17 growth matrix-interpretation) 202.21/60.17 202.21/60.17 TcT has computed the following triangular matrix interpretation. 202.21/60.17 Note that the diagonal of the component-wise maxima of 202.21/60.17 interpretation-entries contains no more than 1 non-zero entries. 202.21/60.17 202.21/60.17 [a](x1) = [1] x1 + [0] 202.21/60.17 202.21/60.17 [b](x1) = [1] x1 + [2] 202.21/60.17 202.21/60.17 [c](x1) = [1] x1 + [2] 202.21/60.17 202.21/60.17 The order satisfies the following ordering constraints: 202.21/60.17 202.21/60.17 [a(x1)] = [1] x1 + [0] 202.21/60.17 ? [1] x1 + [4] 202.21/60.17 = [b(c(x1))] 202.21/60.17 202.21/60.17 [a(b(b(x1)))] = [1] x1 + [4] 202.21/60.17 >= [1] x1 + [4] 202.21/60.17 = [b(b(a(a(x1))))] 202.21/60.17 202.21/60.17 [c(b(x1))] = [1] x1 + [4] 202.21/60.17 > [1] x1 + [0] 202.21/60.17 = [x1] 202.21/60.17 202.21/60.17 202.21/60.17 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 202.21/60.17 202.21/60.17 We are left with following problem, upon which TcT provides the 202.21/60.17 certificate MAYBE. 202.21/60.17 202.21/60.17 Strict Trs: 202.21/60.17 { a(x1) -> b(c(x1)) 202.21/60.17 , a(b(b(x1))) -> b(b(a(a(x1)))) } 202.21/60.17 Weak Trs: { c(b(x1)) -> x1 } 202.21/60.17 Obligation: 202.21/60.17 derivational complexity 202.21/60.17 Answer: 202.21/60.17 MAYBE 202.21/60.17 202.21/60.17 The weightgap principle applies (using the following nonconstant 202.21/60.17 growth matrix-interpretation) 202.21/60.17 202.21/60.17 TcT has computed the following triangular matrix interpretation. 202.21/60.17 Note that the diagonal of the component-wise maxima of 202.21/60.17 interpretation-entries contains no more than 1 non-zero entries. 202.21/60.17 202.21/60.17 [a](x1) = [1] x1 + [1] 202.21/60.17 202.21/60.17 [b](x1) = [1] x1 + [0] 202.21/60.17 202.21/60.17 [c](x1) = [1] x1 + [0] 202.21/60.17 202.21/60.17 The order satisfies the following ordering constraints: 202.21/60.17 202.21/60.17 [a(x1)] = [1] x1 + [1] 202.21/60.17 > [1] x1 + [0] 202.21/60.17 = [b(c(x1))] 202.21/60.17 202.21/60.17 [a(b(b(x1)))] = [1] x1 + [1] 202.21/60.17 ? [1] x1 + [2] 202.21/60.17 = [b(b(a(a(x1))))] 202.21/60.17 202.21/60.17 [c(b(x1))] = [1] x1 + [0] 202.21/60.17 >= [1] x1 + [0] 202.21/60.17 = [x1] 202.21/60.17 202.21/60.17 202.21/60.17 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 202.21/60.17 202.21/60.17 We are left with following problem, upon which TcT provides the 202.21/60.17 certificate MAYBE. 202.21/60.17 202.21/60.17 Strict Trs: { a(b(b(x1))) -> b(b(a(a(x1)))) } 202.21/60.17 Weak Trs: 202.21/60.17 { a(x1) -> b(c(x1)) 202.21/60.17 , c(b(x1)) -> x1 } 202.21/60.17 Obligation: 202.21/60.17 derivational complexity 202.21/60.17 Answer: 202.21/60.17 MAYBE 202.21/60.17 202.21/60.17 None of the processors succeeded. 202.21/60.17 202.21/60.17 Details of failed attempt(s): 202.21/60.17 ----------------------------- 202.21/60.17 1) 'empty' failed due to the following reason: 202.21/60.17 202.21/60.17 Empty strict component of the problem is NOT empty. 202.21/60.17 202.21/60.17 2) 'Fastest' failed due to the following reason: 202.21/60.17 202.21/60.17 None of the processors succeeded. 202.21/60.17 202.21/60.17 Details of failed attempt(s): 202.21/60.17 ----------------------------- 202.21/60.17 1) 'Fastest (timeout of 30 seconds)' failed due to the following 202.21/60.17 reason: 202.21/60.17 202.21/60.17 Computation stopped due to timeout after 30.0 seconds. 202.21/60.17 202.21/60.17 2) 'bsearch-matrix' failed due to the following reason: 202.21/60.17 202.21/60.17 The input cannot be shown compatible 202.21/60.17 202.21/60.17 3) 'Fastest' failed due to the following reason: 202.21/60.17 202.21/60.17 None of the processors succeeded. 202.21/60.17 202.21/60.17 Details of failed attempt(s): 202.21/60.17 ----------------------------- 202.21/60.17 1) 'matrix interpretation of dimension 5' failed due to the 202.21/60.17 following reason: 202.21/60.17 202.21/60.17 The input cannot be shown compatible 202.21/60.17 202.21/60.17 2) 'matrix interpretation of dimension 6' failed due to the 202.21/60.17 following reason: 202.21/60.17 202.21/60.17 The input cannot be shown compatible 202.21/60.17 202.21/60.17 3) 'matrix interpretation of dimension 4' failed due to the 202.21/60.17 following reason: 202.21/60.17 202.21/60.17 The input cannot be shown compatible 202.21/60.17 202.21/60.17 4) 'matrix interpretation of dimension 3' failed due to the 202.21/60.17 following reason: 202.21/60.17 202.21/60.17 The input cannot be shown compatible 202.21/60.17 202.21/60.17 5) 'matrix interpretation of dimension 2' failed due to the 202.21/60.17 following reason: 202.21/60.17 202.21/60.17 The input cannot be shown compatible 202.21/60.17 202.21/60.17 6) 'matrix interpretation of dimension 1' failed due to the 202.21/60.17 following reason: 202.21/60.17 202.21/60.17 The input cannot be shown compatible 202.21/60.17 202.21/60.17 202.21/60.17 4) 'iteProgress' failed due to the following reason: 202.21/60.17 202.21/60.17 Fail 202.21/60.17 202.21/60.17 202.21/60.17 202.21/60.17 3) 'iteProgress (timeout of 297 seconds)' failed due to the 202.21/60.17 following reason: 202.21/60.17 202.21/60.17 Fail 202.21/60.17 202.21/60.17 4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 202.21/60.17 following reason: 202.21/60.17 202.21/60.17 The input cannot be shown compatible 202.21/60.17 202.21/60.17 202.21/60.17 Arrrr.. 202.52/60.21 EOF