MAYBE 475.65/166.00 MAYBE 475.65/166.00 475.65/166.00 We are left with following problem, upon which TcT provides the 475.65/166.00 certificate MAYBE. 475.65/166.00 475.65/166.00 Strict Trs: 475.65/166.00 { a(b(x1)) -> x1 475.65/166.00 , a(c(x1)) -> a(b(b(c(c(a(x1)))))) 475.65/166.00 , b(c(x1)) -> x1 } 475.65/166.00 Obligation: 475.65/166.00 derivational complexity 475.65/166.00 Answer: 475.65/166.00 MAYBE 475.65/166.00 475.65/166.00 None of the processors succeeded. 475.65/166.00 475.65/166.00 Details of failed attempt(s): 475.65/166.00 ----------------------------- 475.65/166.00 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 475.65/166.00 the following reason: 475.65/166.00 475.65/166.00 The weightgap principle applies (using the following nonconstant 475.65/166.00 growth matrix-interpretation) 475.65/166.00 475.65/166.00 TcT has computed the following triangular matrix interpretation. 475.65/166.00 Note that the diagonal of the component-wise maxima of 475.65/166.00 interpretation-entries contains no more than 1 non-zero entries. 475.65/166.00 475.65/166.00 [a](x1) = [1] x1 + [1] 475.65/166.00 475.65/166.00 [b](x1) = [1] x1 + [0] 475.65/166.00 475.65/166.00 [c](x1) = [1] x1 + [0] 475.65/166.00 475.65/166.00 The order satisfies the following ordering constraints: 475.65/166.00 475.65/166.00 [a(b(x1))] = [1] x1 + [1] 475.65/166.00 > [1] x1 + [0] 475.65/166.00 = [x1] 475.65/166.00 475.65/166.00 [a(c(x1))] = [1] x1 + [1] 475.65/166.00 ? [1] x1 + [2] 475.65/166.00 = [a(b(b(c(c(a(x1))))))] 475.65/166.00 475.65/166.00 [b(c(x1))] = [1] x1 + [0] 475.65/166.00 >= [1] x1 + [0] 475.65/166.00 = [x1] 475.65/166.00 475.65/166.00 475.65/166.00 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 475.65/166.00 475.65/166.00 We are left with following problem, upon which TcT provides the 475.65/166.00 certificate MAYBE. 475.65/166.00 475.65/166.00 Strict Trs: 475.65/166.00 { a(c(x1)) -> a(b(b(c(c(a(x1)))))) 475.65/166.00 , b(c(x1)) -> x1 } 475.65/166.00 Weak Trs: { a(b(x1)) -> x1 } 475.65/166.00 Obligation: 475.65/166.00 derivational complexity 475.65/166.00 Answer: 475.65/166.00 MAYBE 475.65/166.00 475.65/166.00 The weightgap principle applies (using the following nonconstant 475.65/166.00 growth matrix-interpretation) 475.65/166.00 475.65/166.00 TcT has computed the following triangular matrix interpretation. 475.65/166.00 Note that the diagonal of the component-wise maxima of 475.65/166.00 interpretation-entries contains no more than 1 non-zero entries. 475.65/166.00 475.65/166.00 [a](x1) = [1] x1 + [0] 475.65/166.00 475.65/166.00 [b](x1) = [1] x1 + [2] 475.65/166.00 475.65/166.00 [c](x1) = [1] x1 + [0] 475.65/166.00 475.65/166.00 The order satisfies the following ordering constraints: 475.65/166.00 475.65/166.00 [a(b(x1))] = [1] x1 + [2] 475.65/166.00 > [1] x1 + [0] 475.65/166.00 = [x1] 475.65/166.00 475.65/166.00 [a(c(x1))] = [1] x1 + [0] 475.65/166.00 ? [1] x1 + [4] 475.65/166.00 = [a(b(b(c(c(a(x1))))))] 475.65/166.00 475.65/166.00 [b(c(x1))] = [1] x1 + [2] 475.65/166.00 > [1] x1 + [0] 475.65/166.00 = [x1] 475.65/166.00 475.65/166.00 475.65/166.00 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 475.65/166.00 475.65/166.00 We are left with following problem, upon which TcT provides the 475.65/166.00 certificate MAYBE. 475.65/166.00 475.65/166.00 Strict Trs: { a(c(x1)) -> a(b(b(c(c(a(x1)))))) } 475.65/166.00 Weak Trs: 475.65/166.00 { a(b(x1)) -> x1 475.65/166.00 , b(c(x1)) -> x1 } 475.65/166.00 Obligation: 475.65/166.00 derivational complexity 475.65/166.00 Answer: 475.65/166.00 MAYBE 475.65/166.00 475.65/166.00 None of the processors succeeded. 475.65/166.00 475.65/166.00 Details of failed attempt(s): 475.65/166.00 ----------------------------- 475.65/166.00 1) 'empty' failed due to the following reason: 475.65/166.00 475.65/166.00 Empty strict component of the problem is NOT empty. 475.65/166.00 475.65/166.00 2) 'Fastest' failed due to the following reason: 475.65/166.00 475.65/166.00 None of the processors succeeded. 475.65/166.00 475.65/166.00 Details of failed attempt(s): 475.65/166.00 ----------------------------- 475.65/166.00 1) 'bsearch-matrix' failed due to the following reason: 475.65/166.00 475.65/166.00 The input cannot be shown compatible 475.65/166.00 475.65/166.00 2) 'iteProgress' failed due to the following reason: 475.65/166.00 475.65/166.00 Fail 475.65/166.00 475.65/166.00 3) 'Fastest' failed due to the following reason: 475.65/166.00 475.65/166.00 None of the processors succeeded. 475.65/166.00 475.65/166.00 Details of failed attempt(s): 475.65/166.00 ----------------------------- 475.65/166.00 1) 'matrix interpretation of dimension 6' failed due to the 475.65/166.00 following reason: 475.65/166.00 475.65/166.00 The input cannot be shown compatible 475.65/166.00 475.65/166.00 2) 'matrix interpretation of dimension 5' failed due to the 475.65/166.00 following reason: 475.65/166.00 475.65/166.00 The input cannot be shown compatible 475.65/166.00 475.65/166.00 3) 'matrix interpretation of dimension 4' failed due to the 475.65/166.00 following reason: 475.65/166.00 475.65/166.00 The input cannot be shown compatible 475.65/166.00 475.65/166.00 4) 'matrix interpretation of dimension 3' failed due to the 475.65/166.00 following reason: 475.65/166.00 475.65/166.00 The input cannot be shown compatible 475.65/166.00 475.65/166.00 5) 'matrix interpretation of dimension 2' failed due to the 475.65/166.00 following reason: 475.65/166.00 475.65/166.00 The input cannot be shown compatible 475.65/166.00 475.65/166.00 6) 'matrix interpretation of dimension 1' failed due to the 475.65/166.00 following reason: 475.65/166.00 475.65/166.00 The input cannot be shown compatible 475.65/166.00 475.65/166.00 475.65/166.00 4) 'Fastest (timeout of 30 seconds)' failed due to the following 475.65/166.00 reason: 475.65/166.00 475.65/166.00 Computation stopped due to timeout after 30.0 seconds. 475.65/166.00 475.65/166.00 475.65/166.00 475.65/166.00 2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 475.65/166.00 following reason: 475.65/166.00 475.65/166.00 The input cannot be shown compatible 475.65/166.00 475.65/166.00 3) 'iteProgress (timeout of 297 seconds)' failed due to the 475.65/166.00 following reason: 475.65/166.00 475.65/166.00 Fail 475.65/166.00 475.65/166.00 4) 'Fastest (timeout of 60 seconds)' failed due to the following 475.65/166.00 reason: 475.65/166.00 475.65/166.00 Computation stopped due to timeout after 60.0 seconds. 475.65/166.00 475.65/166.00 475.65/166.00 Arrrr.. 476.07/166.06 EOF