MAYBE 495.98/174.01 MAYBE 495.98/174.01 495.98/174.01 We are left with following problem, upon which TcT provides the 495.98/174.01 certificate MAYBE. 495.98/174.01 495.98/174.01 Strict Trs: 495.98/174.01 { a(b(x1)) -> x1 495.98/174.01 , a(c(x1)) -> b(b(c(c(a(a(x1)))))) 495.98/174.01 , b(c(x1)) -> x1 } 495.98/174.01 Obligation: 495.98/174.01 derivational complexity 495.98/174.01 Answer: 495.98/174.01 MAYBE 495.98/174.01 495.98/174.01 None of the processors succeeded. 495.98/174.01 495.98/174.01 Details of failed attempt(s): 495.98/174.01 ----------------------------- 495.98/174.01 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 495.98/174.01 the following reason: 495.98/174.01 495.98/174.01 The weightgap principle applies (using the following nonconstant 495.98/174.01 growth matrix-interpretation) 495.98/174.01 495.98/174.01 TcT has computed the following triangular matrix interpretation. 495.98/174.01 Note that the diagonal of the component-wise maxima of 495.98/174.01 interpretation-entries contains no more than 1 non-zero entries. 495.98/174.01 495.98/174.01 [a](x1) = [1] x1 + [1] 495.98/174.01 495.98/174.01 [b](x1) = [1] x1 + [0] 495.98/174.01 495.98/174.01 [c](x1) = [1] x1 + [0] 495.98/174.01 495.98/174.01 The order satisfies the following ordering constraints: 495.98/174.01 495.98/174.01 [a(b(x1))] = [1] x1 + [1] 495.98/174.01 > [1] x1 + [0] 495.98/174.01 = [x1] 495.98/174.02 495.98/174.02 [a(c(x1))] = [1] x1 + [1] 495.98/174.02 ? [1] x1 + [2] 495.98/174.02 = [b(b(c(c(a(a(x1))))))] 495.98/174.02 495.98/174.02 [b(c(x1))] = [1] x1 + [0] 495.98/174.02 >= [1] x1 + [0] 495.98/174.02 = [x1] 495.98/174.02 495.98/174.02 495.98/174.02 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 495.98/174.02 495.98/174.02 We are left with following problem, upon which TcT provides the 495.98/174.02 certificate MAYBE. 495.98/174.02 495.98/174.02 Strict Trs: 495.98/174.02 { a(c(x1)) -> b(b(c(c(a(a(x1)))))) 495.98/174.02 , b(c(x1)) -> x1 } 495.98/174.02 Weak Trs: { a(b(x1)) -> x1 } 495.98/174.02 Obligation: 495.98/174.02 derivational complexity 495.98/174.02 Answer: 495.98/174.02 MAYBE 495.98/174.02 495.98/174.02 The weightgap principle applies (using the following nonconstant 495.98/174.02 growth matrix-interpretation) 495.98/174.02 495.98/174.02 TcT has computed the following triangular matrix interpretation. 495.98/174.02 Note that the diagonal of the component-wise maxima of 495.98/174.02 interpretation-entries contains no more than 1 non-zero entries. 495.98/174.02 495.98/174.02 [a](x1) = [1] x1 + [1] 495.98/174.02 495.98/174.02 [b](x1) = [1] x1 + [1] 495.98/174.02 495.98/174.02 [c](x1) = [1] x1 + [0] 495.98/174.02 495.98/174.02 The order satisfies the following ordering constraints: 495.98/174.02 495.98/174.02 [a(b(x1))] = [1] x1 + [2] 495.98/174.02 > [1] x1 + [0] 495.98/174.02 = [x1] 495.98/174.02 495.98/174.02 [a(c(x1))] = [1] x1 + [1] 495.98/174.02 ? [1] x1 + [4] 495.98/174.02 = [b(b(c(c(a(a(x1))))))] 495.98/174.02 495.98/174.02 [b(c(x1))] = [1] x1 + [1] 495.98/174.02 > [1] x1 + [0] 495.98/174.02 = [x1] 495.98/174.02 495.98/174.02 495.98/174.02 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 495.98/174.02 495.98/174.02 We are left with following problem, upon which TcT provides the 495.98/174.02 certificate MAYBE. 495.98/174.02 495.98/174.02 Strict Trs: { a(c(x1)) -> b(b(c(c(a(a(x1)))))) } 495.98/174.02 Weak Trs: 495.98/174.02 { a(b(x1)) -> x1 495.98/174.02 , b(c(x1)) -> x1 } 495.98/174.02 Obligation: 495.98/174.02 derivational complexity 495.98/174.02 Answer: 495.98/174.02 MAYBE 495.98/174.02 495.98/174.02 None of the processors succeeded. 495.98/174.02 495.98/174.02 Details of failed attempt(s): 495.98/174.02 ----------------------------- 495.98/174.02 1) 'empty' failed due to the following reason: 495.98/174.02 495.98/174.02 Empty strict component of the problem is NOT empty. 495.98/174.02 495.98/174.02 2) 'Fastest' failed due to the following reason: 495.98/174.02 495.98/174.02 None of the processors succeeded. 495.98/174.02 495.98/174.02 Details of failed attempt(s): 495.98/174.02 ----------------------------- 495.98/174.02 1) 'bsearch-matrix' failed due to the following reason: 495.98/174.02 495.98/174.02 The input cannot be shown compatible 495.98/174.02 495.98/174.02 2) 'iteProgress' failed due to the following reason: 495.98/174.02 495.98/174.02 Fail 495.98/174.02 495.98/174.02 3) 'Fastest' failed due to the following reason: 495.98/174.02 495.98/174.02 None of the processors succeeded. 495.98/174.02 495.98/174.02 Details of failed attempt(s): 495.98/174.02 ----------------------------- 495.98/174.02 1) 'matrix interpretation of dimension 6' failed due to the 495.98/174.02 following reason: 495.98/174.02 495.98/174.02 The input cannot be shown compatible 495.98/174.02 495.98/174.02 2) 'matrix interpretation of dimension 5' failed due to the 495.98/174.02 following reason: 495.98/174.02 495.98/174.02 The input cannot be shown compatible 495.98/174.02 495.98/174.02 3) 'matrix interpretation of dimension 4' failed due to the 495.98/174.02 following reason: 495.98/174.02 495.98/174.02 The input cannot be shown compatible 495.98/174.02 495.98/174.02 4) 'matrix interpretation of dimension 3' failed due to the 495.98/174.02 following reason: 495.98/174.02 495.98/174.02 The input cannot be shown compatible 495.98/174.02 495.98/174.02 5) 'matrix interpretation of dimension 2' failed due to the 495.98/174.02 following reason: 495.98/174.02 495.98/174.02 The input cannot be shown compatible 495.98/174.02 495.98/174.02 6) 'matrix interpretation of dimension 1' failed due to the 495.98/174.02 following reason: 495.98/174.02 495.98/174.02 The input cannot be shown compatible 495.98/174.02 495.98/174.02 495.98/174.02 4) 'Fastest (timeout of 30 seconds)' failed due to the following 495.98/174.02 reason: 495.98/174.02 495.98/174.02 Computation stopped due to timeout after 30.0 seconds. 495.98/174.02 495.98/174.02 495.98/174.02 495.98/174.02 2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 495.98/174.02 following reason: 495.98/174.02 495.98/174.02 The input cannot be shown compatible 495.98/174.02 495.98/174.02 3) 'iteProgress (timeout of 297 seconds)' failed due to the 495.98/174.02 following reason: 495.98/174.02 495.98/174.02 Fail 495.98/174.02 495.98/174.02 4) 'Fastest (timeout of 60 seconds)' failed due to the following 495.98/174.02 reason: 495.98/174.02 495.98/174.02 Computation stopped due to timeout after 60.0 seconds. 495.98/174.02 495.98/174.02 495.98/174.02 Arrrr.. 495.98/174.09 EOF