MAYBE 489.31/170.93 MAYBE 489.31/170.93 489.31/170.93 We are left with following problem, upon which TcT provides the 489.31/170.93 certificate MAYBE. 489.31/170.93 489.31/170.93 Strict Trs: 489.31/170.93 { a(x1) -> x1 489.31/170.93 , a(a(x1)) -> b(a(b(c(c(b(x1)))))) 489.31/170.93 , c(b(x1)) -> a(x1) } 489.31/170.93 Obligation: 489.31/170.93 derivational complexity 489.31/170.93 Answer: 489.31/170.93 MAYBE 489.31/170.93 489.31/170.93 None of the processors succeeded. 489.31/170.93 489.31/170.93 Details of failed attempt(s): 489.31/170.93 ----------------------------- 489.31/170.93 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 489.31/170.93 the following reason: 489.31/170.93 489.31/170.93 The weightgap principle applies (using the following nonconstant 489.31/170.93 growth matrix-interpretation) 489.31/170.93 489.31/170.93 TcT has computed the following triangular matrix interpretation. 489.31/170.93 Note that the diagonal of the component-wise maxima of 489.31/170.93 interpretation-entries contains no more than 1 non-zero entries. 489.31/170.93 489.31/170.93 [a](x1) = [1] x1 + [0] 489.31/170.93 489.31/170.93 [b](x1) = [1] x1 + [0] 489.31/170.93 489.31/170.93 [c](x1) = [1] x1 + [2] 489.31/170.93 489.31/170.93 The order satisfies the following ordering constraints: 489.31/170.93 489.31/170.93 [a(x1)] = [1] x1 + [0] 489.31/170.93 >= [1] x1 + [0] 489.31/170.93 = [x1] 489.31/170.93 489.31/170.93 [a(a(x1))] = [1] x1 + [0] 489.31/170.93 ? [1] x1 + [4] 489.31/170.93 = [b(a(b(c(c(b(x1))))))] 489.31/170.93 489.31/170.93 [c(b(x1))] = [1] x1 + [2] 489.31/170.93 > [1] x1 + [0] 489.31/170.93 = [a(x1)] 489.31/170.93 489.31/170.93 489.31/170.93 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 489.31/170.93 489.31/170.93 We are left with following problem, upon which TcT provides the 489.31/170.93 certificate MAYBE. 489.31/170.93 489.31/170.93 Strict Trs: 489.31/170.93 { a(x1) -> x1 489.31/170.93 , a(a(x1)) -> b(a(b(c(c(b(x1)))))) } 489.31/170.93 Weak Trs: { c(b(x1)) -> a(x1) } 489.31/170.93 Obligation: 489.31/170.93 derivational complexity 489.31/170.93 Answer: 489.31/170.93 MAYBE 489.31/170.93 489.31/170.93 The weightgap principle applies (using the following nonconstant 489.31/170.93 growth matrix-interpretation) 489.31/170.93 489.31/170.93 TcT has computed the following triangular matrix interpretation. 489.31/170.93 Note that the diagonal of the component-wise maxima of 489.31/170.93 interpretation-entries contains no more than 1 non-zero entries. 489.31/170.93 489.31/170.93 [a](x1) = [1] x1 + [2] 489.31/170.93 489.31/170.93 [b](x1) = [1] x1 + [0] 489.31/170.93 489.31/170.93 [c](x1) = [1] x1 + [2] 489.31/170.93 489.31/170.93 The order satisfies the following ordering constraints: 489.31/170.93 489.31/170.93 [a(x1)] = [1] x1 + [2] 489.31/170.93 > [1] x1 + [0] 489.31/170.93 = [x1] 489.31/170.93 489.31/170.93 [a(a(x1))] = [1] x1 + [4] 489.31/170.93 ? [1] x1 + [6] 489.31/170.93 = [b(a(b(c(c(b(x1))))))] 489.31/170.93 489.31/170.93 [c(b(x1))] = [1] x1 + [2] 489.31/170.93 >= [1] x1 + [2] 489.31/170.93 = [a(x1)] 489.31/170.93 489.31/170.93 489.31/170.93 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 489.31/170.93 489.31/170.93 We are left with following problem, upon which TcT provides the 489.31/170.93 certificate MAYBE. 489.31/170.93 489.31/170.93 Strict Trs: { a(a(x1)) -> b(a(b(c(c(b(x1)))))) } 489.31/170.93 Weak Trs: 489.31/170.93 { a(x1) -> x1 489.31/170.93 , c(b(x1)) -> a(x1) } 489.31/170.93 Obligation: 489.31/170.93 derivational complexity 489.31/170.93 Answer: 489.31/170.93 MAYBE 489.31/170.93 489.31/170.93 None of the processors succeeded. 489.31/170.93 489.31/170.93 Details of failed attempt(s): 489.31/170.93 ----------------------------- 489.31/170.93 1) 'empty' failed due to the following reason: 489.31/170.93 489.31/170.93 Empty strict component of the problem is NOT empty. 489.31/170.93 489.31/170.93 2) 'Fastest' failed due to the following reason: 489.31/170.93 489.31/170.93 None of the processors succeeded. 489.31/170.93 489.31/170.93 Details of failed attempt(s): 489.31/170.93 ----------------------------- 489.31/170.93 1) 'bsearch-matrix' failed due to the following reason: 489.31/170.93 489.31/170.93 The input cannot be shown compatible 489.31/170.93 489.31/170.93 2) 'iteProgress' failed due to the following reason: 489.31/170.93 489.31/170.93 Fail 489.31/170.93 489.31/170.93 3) 'Fastest' failed due to the following reason: 489.31/170.93 489.31/170.93 None of the processors succeeded. 489.31/170.93 489.31/170.93 Details of failed attempt(s): 489.31/170.93 ----------------------------- 489.31/170.93 1) 'matrix interpretation of dimension 6' failed due to the 489.31/170.93 following reason: 489.31/170.93 489.31/170.93 The input cannot be shown compatible 489.31/170.93 489.31/170.93 2) 'matrix interpretation of dimension 5' failed due to the 489.31/170.93 following reason: 489.31/170.93 489.31/170.93 The input cannot be shown compatible 489.31/170.93 489.31/170.93 3) 'matrix interpretation of dimension 4' failed due to the 489.31/170.93 following reason: 489.31/170.93 489.31/170.93 The input cannot be shown compatible 489.31/170.93 489.31/170.93 4) 'matrix interpretation of dimension 3' failed due to the 489.31/170.93 following reason: 489.31/170.93 489.31/170.93 The input cannot be shown compatible 489.31/170.93 489.31/170.93 5) 'matrix interpretation of dimension 2' failed due to the 489.31/170.93 following reason: 489.31/170.93 489.31/170.93 The input cannot be shown compatible 489.31/170.93 489.31/170.93 6) 'matrix interpretation of dimension 1' failed due to the 489.31/170.93 following reason: 489.31/170.93 489.31/170.93 The input cannot be shown compatible 489.31/170.93 489.31/170.93 489.31/170.93 4) 'Fastest (timeout of 30 seconds)' failed due to the following 489.31/170.93 reason: 489.31/170.93 489.31/170.93 Computation stopped due to timeout after 30.0 seconds. 489.31/170.93 489.31/170.93 489.31/170.93 489.31/170.93 2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 489.31/170.93 following reason: 489.31/170.93 489.31/170.93 The input cannot be shown compatible 489.31/170.93 489.31/170.93 3) 'iteProgress (timeout of 297 seconds)' failed due to the 489.31/170.93 following reason: 489.31/170.93 489.31/170.93 Fail 489.31/170.93 489.31/170.93 4) 'Fastest (timeout of 60 seconds)' failed due to the following 489.31/170.93 reason: 489.31/170.93 489.31/170.93 Computation stopped due to timeout after 60.0 seconds. 489.31/170.93 489.31/170.93 489.31/170.93 Arrrr.. 489.31/171.00 EOF