MAYBE 202.30/60.02 MAYBE 202.30/60.02 202.30/60.02 We are left with following problem, upon which TcT provides the 202.30/60.02 certificate MAYBE. 202.30/60.02 202.30/60.02 Strict Trs: 202.30/60.02 { a(x1) -> x1 202.30/60.02 , a(b(b(x1))) -> b(b(b(a(c(x1))))) 202.30/60.02 , c(b(x1)) -> a(x1) } 202.30/60.02 Obligation: 202.30/60.02 derivational complexity 202.30/60.02 Answer: 202.30/60.02 MAYBE 202.30/60.02 202.30/60.02 None of the processors succeeded. 202.30/60.02 202.30/60.02 Details of failed attempt(s): 202.30/60.02 ----------------------------- 202.30/60.02 1) 'Fastest (timeout of 60 seconds)' failed due to the following 202.30/60.02 reason: 202.30/60.02 202.30/60.02 Computation stopped due to timeout after 60.0 seconds. 202.30/60.02 202.30/60.02 2) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 202.30/60.02 the following reason: 202.30/60.02 202.30/60.02 The weightgap principle applies (using the following nonconstant 202.30/60.02 growth matrix-interpretation) 202.30/60.02 202.30/60.02 TcT has computed the following triangular matrix interpretation. 202.30/60.02 Note that the diagonal of the component-wise maxima of 202.30/60.02 interpretation-entries contains no more than 1 non-zero entries. 202.30/60.02 202.30/60.02 [a](x1) = [1] x1 + [1] 202.30/60.02 202.30/60.02 [b](x1) = [1] x1 + [0] 202.30/60.02 202.30/60.02 [c](x1) = [1] x1 + [0] 202.30/60.02 202.30/60.02 The order satisfies the following ordering constraints: 202.30/60.02 202.30/60.02 [a(x1)] = [1] x1 + [1] 202.30/60.02 > [1] x1 + [0] 202.30/60.02 = [x1] 202.30/60.02 202.30/60.02 [a(b(b(x1)))] = [1] x1 + [1] 202.30/60.02 >= [1] x1 + [1] 202.30/60.02 = [b(b(b(a(c(x1)))))] 202.30/60.02 202.30/60.02 [c(b(x1))] = [1] x1 + [0] 202.30/60.02 ? [1] x1 + [1] 202.30/60.02 = [a(x1)] 202.30/60.02 202.30/60.02 202.30/60.02 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 202.30/60.02 202.30/60.02 We are left with following problem, upon which TcT provides the 202.30/60.02 certificate MAYBE. 202.30/60.02 202.30/60.02 Strict Trs: 202.30/60.02 { a(b(b(x1))) -> b(b(b(a(c(x1))))) 202.30/60.02 , c(b(x1)) -> a(x1) } 202.30/60.02 Weak Trs: { a(x1) -> x1 } 202.30/60.02 Obligation: 202.30/60.02 derivational complexity 202.30/60.02 Answer: 202.30/60.02 MAYBE 202.30/60.02 202.30/60.02 The weightgap principle applies (using the following nonconstant 202.30/60.02 growth matrix-interpretation) 202.30/60.02 202.30/60.02 TcT has computed the following triangular matrix interpretation. 202.30/60.02 Note that the diagonal of the component-wise maxima of 202.30/60.02 interpretation-entries contains no more than 1 non-zero entries. 202.30/60.02 202.30/60.02 [a](x1) = [1] x1 + [0] 202.30/60.02 202.30/60.02 [b](x1) = [1] x1 + [0] 202.30/60.02 202.30/60.02 [c](x1) = [1] x1 + [1] 202.30/60.02 202.30/60.02 The order satisfies the following ordering constraints: 202.30/60.02 202.30/60.02 [a(x1)] = [1] x1 + [0] 202.30/60.02 >= [1] x1 + [0] 202.30/60.02 = [x1] 202.30/60.02 202.30/60.02 [a(b(b(x1)))] = [1] x1 + [0] 202.30/60.02 ? [1] x1 + [1] 202.30/60.02 = [b(b(b(a(c(x1)))))] 202.30/60.02 202.30/60.02 [c(b(x1))] = [1] x1 + [1] 202.30/60.02 > [1] x1 + [0] 202.30/60.02 = [a(x1)] 202.30/60.02 202.30/60.02 202.30/60.02 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 202.30/60.02 202.30/60.02 We are left with following problem, upon which TcT provides the 202.30/60.02 certificate MAYBE. 202.30/60.02 202.30/60.02 Strict Trs: { a(b(b(x1))) -> b(b(b(a(c(x1))))) } 202.30/60.02 Weak Trs: 202.30/60.02 { a(x1) -> x1 202.30/60.02 , c(b(x1)) -> a(x1) } 202.30/60.02 Obligation: 202.30/60.02 derivational complexity 202.30/60.02 Answer: 202.30/60.02 MAYBE 202.30/60.02 202.30/60.02 None of the processors succeeded. 202.30/60.02 202.30/60.02 Details of failed attempt(s): 202.30/60.02 ----------------------------- 202.30/60.02 1) 'empty' failed due to the following reason: 202.30/60.02 202.30/60.02 Empty strict component of the problem is NOT empty. 202.30/60.02 202.30/60.02 2) 'Fastest' failed due to the following reason: 202.30/60.02 202.30/60.02 None of the processors succeeded. 202.30/60.02 202.30/60.02 Details of failed attempt(s): 202.30/60.02 ----------------------------- 202.30/60.02 1) 'Fastest' failed due to the following reason: 202.30/60.02 202.30/60.02 None of the processors succeeded. 202.30/60.02 202.30/60.02 Details of failed attempt(s): 202.30/60.02 ----------------------------- 202.30/60.02 1) 'matrix interpretation of dimension 6' failed due to the 202.30/60.02 following reason: 202.30/60.02 202.30/60.02 The input cannot be shown compatible 202.30/60.02 202.30/60.02 2) 'matrix interpretation of dimension 5' failed due to the 202.30/60.02 following reason: 202.30/60.02 202.30/60.02 The input cannot be shown compatible 202.30/60.02 202.30/60.02 3) 'matrix interpretation of dimension 4' failed due to the 202.30/60.02 following reason: 202.30/60.02 202.30/60.02 The input cannot be shown compatible 202.30/60.02 202.30/60.02 4) 'matrix interpretation of dimension 3' failed due to the 202.30/60.02 following reason: 202.30/60.02 202.30/60.02 The input cannot be shown compatible 202.30/60.02 202.30/60.02 5) 'matrix interpretation of dimension 2' failed due to the 202.30/60.02 following reason: 202.30/60.02 202.30/60.02 The input cannot be shown compatible 202.30/60.02 202.30/60.02 6) 'matrix interpretation of dimension 1' failed due to the 202.30/60.02 following reason: 202.30/60.02 202.30/60.02 The input cannot be shown compatible 202.30/60.02 202.30/60.02 202.30/60.02 2) 'Fastest (timeout of 30 seconds)' failed due to the following 202.30/60.02 reason: 202.30/60.02 202.30/60.02 Computation stopped due to timeout after 30.0 seconds. 202.30/60.02 202.30/60.02 3) 'bsearch-matrix' failed due to the following reason: 202.30/60.02 202.30/60.02 The input cannot be shown compatible 202.30/60.02 202.30/60.02 4) 'iteProgress' failed due to the following reason: 202.30/60.02 202.30/60.02 Fail 202.30/60.02 202.30/60.02 202.30/60.02 202.30/60.02 3) 'iteProgress (timeout of 297 seconds)' failed due to the 202.30/60.02 following reason: 202.30/60.02 202.30/60.02 Fail 202.30/60.02 202.30/60.02 4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 202.30/60.02 following reason: 202.30/60.02 202.30/60.02 The input cannot be shown compatible 202.30/60.02 202.30/60.02 202.30/60.02 Arrrr.. 202.30/60.04 EOF