MAYBE 502.38/177.54 MAYBE 502.38/177.54 502.38/177.54 We are left with following problem, upon which TcT provides the 502.38/177.54 certificate MAYBE. 502.38/177.54 502.38/177.54 Strict Trs: 502.38/177.54 { a(x1) -> x1 502.38/177.54 , a(b(b(x1))) -> b(b(a(b(c(a(x1)))))) 502.38/177.54 , b(c(x1)) -> x1 } 502.38/177.54 Obligation: 502.38/177.54 derivational complexity 502.38/177.54 Answer: 502.38/177.54 MAYBE 502.38/177.54 502.38/177.54 None of the processors succeeded. 502.38/177.54 502.38/177.54 Details of failed attempt(s): 502.38/177.54 ----------------------------- 502.38/177.54 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 502.38/177.54 the following reason: 502.38/177.54 502.38/177.54 The weightgap principle applies (using the following nonconstant 502.38/177.54 growth matrix-interpretation) 502.38/177.54 502.38/177.54 TcT has computed the following triangular matrix interpretation. 502.38/177.54 Note that the diagonal of the component-wise maxima of 502.38/177.54 interpretation-entries contains no more than 1 non-zero entries. 502.38/177.54 502.38/177.54 [a](x1) = [1] x1 + [0] 502.38/177.54 502.38/177.54 [b](x1) = [1] x1 + [0] 502.38/177.54 502.38/177.54 [c](x1) = [1] x1 + [1] 502.38/177.54 502.38/177.54 The order satisfies the following ordering constraints: 502.38/177.54 502.38/177.54 [a(x1)] = [1] x1 + [0] 502.38/177.54 >= [1] x1 + [0] 502.38/177.54 = [x1] 502.38/177.54 502.38/177.54 [a(b(b(x1)))] = [1] x1 + [0] 502.38/177.54 ? [1] x1 + [1] 502.38/177.54 = [b(b(a(b(c(a(x1))))))] 502.38/177.54 502.38/177.54 [b(c(x1))] = [1] x1 + [1] 502.38/177.54 > [1] x1 + [0] 502.38/177.54 = [x1] 502.38/177.54 502.38/177.54 502.38/177.54 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 502.38/177.54 502.38/177.54 We are left with following problem, upon which TcT provides the 502.38/177.54 certificate MAYBE. 502.38/177.54 502.38/177.54 Strict Trs: 502.38/177.54 { a(x1) -> x1 502.38/177.54 , a(b(b(x1))) -> b(b(a(b(c(a(x1)))))) } 502.38/177.54 Weak Trs: { b(c(x1)) -> x1 } 502.38/177.54 Obligation: 502.38/177.54 derivational complexity 502.38/177.54 Answer: 502.38/177.54 MAYBE 502.38/177.54 502.38/177.54 The weightgap principle applies (using the following nonconstant 502.38/177.54 growth matrix-interpretation) 502.38/177.54 502.38/177.54 TcT has computed the following triangular matrix interpretation. 502.38/177.54 Note that the diagonal of the component-wise maxima of 502.38/177.54 interpretation-entries contains no more than 1 non-zero entries. 502.38/177.54 502.38/177.54 [a](x1) = [1] x1 + [1] 502.38/177.54 502.38/177.54 [b](x1) = [1] x1 + [0] 502.38/177.54 502.38/177.54 [c](x1) = [1] x1 + [2] 502.38/177.54 502.38/177.54 The order satisfies the following ordering constraints: 502.38/177.54 502.38/177.54 [a(x1)] = [1] x1 + [1] 502.38/177.54 > [1] x1 + [0] 502.38/177.54 = [x1] 502.38/177.54 502.38/177.54 [a(b(b(x1)))] = [1] x1 + [1] 502.38/177.54 ? [1] x1 + [4] 502.38/177.54 = [b(b(a(b(c(a(x1))))))] 502.38/177.54 502.38/177.54 [b(c(x1))] = [1] x1 + [2] 502.38/177.54 > [1] x1 + [0] 502.38/177.54 = [x1] 502.38/177.54 502.38/177.54 502.38/177.54 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 502.38/177.54 502.38/177.54 We are left with following problem, upon which TcT provides the 502.38/177.54 certificate MAYBE. 502.38/177.54 502.38/177.54 Strict Trs: { a(b(b(x1))) -> b(b(a(b(c(a(x1)))))) } 502.38/177.54 Weak Trs: 502.38/177.54 { a(x1) -> x1 502.38/177.54 , b(c(x1)) -> x1 } 502.38/177.54 Obligation: 502.38/177.54 derivational complexity 502.38/177.54 Answer: 502.38/177.54 MAYBE 502.38/177.54 502.38/177.54 None of the processors succeeded. 502.38/177.54 502.38/177.54 Details of failed attempt(s): 502.38/177.54 ----------------------------- 502.38/177.54 1) 'empty' failed due to the following reason: 502.38/177.54 502.38/177.54 Empty strict component of the problem is NOT empty. 502.38/177.54 502.38/177.54 2) 'Fastest' failed due to the following reason: 502.38/177.54 502.38/177.54 None of the processors succeeded. 502.38/177.54 502.38/177.54 Details of failed attempt(s): 502.38/177.54 ----------------------------- 502.38/177.54 1) 'bsearch-matrix' failed due to the following reason: 502.38/177.54 502.38/177.54 The input cannot be shown compatible 502.38/177.54 502.38/177.54 2) 'iteProgress' failed due to the following reason: 502.38/177.54 502.38/177.54 Fail 502.38/177.54 502.38/177.54 3) 'Fastest' failed due to the following reason: 502.38/177.54 502.38/177.54 None of the processors succeeded. 502.38/177.54 502.38/177.54 Details of failed attempt(s): 502.38/177.54 ----------------------------- 502.38/177.54 1) 'matrix interpretation of dimension 6' failed due to the 502.38/177.54 following reason: 502.38/177.54 502.38/177.54 The input cannot be shown compatible 502.38/177.54 502.38/177.54 2) 'matrix interpretation of dimension 5' failed due to the 502.38/177.54 following reason: 502.38/177.54 502.38/177.54 The input cannot be shown compatible 502.38/177.54 502.38/177.54 3) 'matrix interpretation of dimension 4' failed due to the 502.38/177.54 following reason: 502.38/177.54 502.38/177.54 The input cannot be shown compatible 502.38/177.54 502.38/177.54 4) 'matrix interpretation of dimension 3' failed due to the 502.38/177.54 following reason: 502.38/177.54 502.38/177.54 The input cannot be shown compatible 502.38/177.54 502.38/177.54 5) 'matrix interpretation of dimension 2' failed due to the 502.38/177.54 following reason: 502.38/177.54 502.38/177.54 The input cannot be shown compatible 502.38/177.54 502.38/177.54 6) 'matrix interpretation of dimension 1' failed due to the 502.38/177.54 following reason: 502.38/177.54 502.38/177.54 The input cannot be shown compatible 502.38/177.54 502.38/177.54 502.38/177.54 4) 'Fastest (timeout of 30 seconds)' failed due to the following 502.38/177.54 reason: 502.38/177.54 502.38/177.54 Computation stopped due to timeout after 30.0 seconds. 502.38/177.54 502.38/177.54 502.38/177.54 502.38/177.54 2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 502.38/177.54 following reason: 502.38/177.54 502.38/177.54 The input cannot be shown compatible 502.38/177.54 502.38/177.54 3) 'iteProgress (timeout of 297 seconds)' failed due to the 502.38/177.54 following reason: 502.38/177.54 502.38/177.54 Fail 502.38/177.54 502.38/177.54 4) 'Fastest (timeout of 60 seconds)' failed due to the following 502.38/177.54 reason: 502.38/177.54 502.38/177.54 Computation stopped due to timeout after 60.0 seconds. 502.38/177.54 502.38/177.54 502.38/177.54 Arrrr.. 502.62/177.62 EOF