MAYBE 197.26/60.03 MAYBE 197.26/60.03 197.26/60.03 We are left with following problem, upon which TcT provides the 197.26/60.03 certificate MAYBE. 197.26/60.03 197.26/60.03 Strict Trs: 197.26/60.03 { a(x1) -> x1 197.26/60.03 , a(a(x1)) -> a(b(x1)) 197.26/60.03 , b(x1) -> x1 197.26/60.03 , c(b(x1)) -> a(b(c(c(x1)))) } 197.26/60.03 Obligation: 197.26/60.03 derivational complexity 197.26/60.03 Answer: 197.26/60.03 MAYBE 197.26/60.03 197.26/60.03 None of the processors succeeded. 197.26/60.03 197.26/60.03 Details of failed attempt(s): 197.26/60.03 ----------------------------- 197.26/60.03 1) 'Fastest (timeout of 60 seconds)' failed due to the following 197.26/60.03 reason: 197.26/60.03 197.26/60.03 Computation stopped due to timeout after 60.0 seconds. 197.26/60.03 197.26/60.03 2) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 197.26/60.03 the following reason: 197.26/60.03 197.26/60.03 The weightgap principle applies (using the following nonconstant 197.26/60.03 growth matrix-interpretation) 197.26/60.03 197.26/60.03 TcT has computed the following triangular matrix interpretation. 197.26/60.03 Note that the diagonal of the component-wise maxima of 197.26/60.03 interpretation-entries contains no more than 1 non-zero entries. 197.26/60.03 197.26/60.03 [a](x1) = [1] x1 + [1] 197.26/60.03 197.26/60.03 [b](x1) = [1] x1 + [0] 197.26/60.03 197.26/60.03 [c](x1) = [1] x1 + [0] 197.26/60.03 197.26/60.03 The order satisfies the following ordering constraints: 197.26/60.03 197.26/60.03 [a(x1)] = [1] x1 + [1] 197.26/60.03 > [1] x1 + [0] 197.26/60.03 = [x1] 197.26/60.03 197.26/60.03 [a(a(x1))] = [1] x1 + [2] 197.26/60.03 > [1] x1 + [1] 197.26/60.03 = [a(b(x1))] 197.26/60.03 197.26/60.03 [b(x1)] = [1] x1 + [0] 197.26/60.03 >= [1] x1 + [0] 197.26/60.03 = [x1] 197.26/60.03 197.26/60.03 [c(b(x1))] = [1] x1 + [0] 197.26/60.03 ? [1] x1 + [1] 197.26/60.03 = [a(b(c(c(x1))))] 197.26/60.03 197.26/60.03 197.26/60.03 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 197.26/60.03 197.26/60.03 We are left with following problem, upon which TcT provides the 197.26/60.03 certificate MAYBE. 197.26/60.03 197.26/60.03 Strict Trs: 197.26/60.03 { b(x1) -> x1 197.26/60.03 , c(b(x1)) -> a(b(c(c(x1)))) } 197.26/60.03 Weak Trs: 197.26/60.03 { a(x1) -> x1 197.26/60.03 , a(a(x1)) -> a(b(x1)) } 197.26/60.03 Obligation: 197.26/60.03 derivational complexity 197.26/60.03 Answer: 197.26/60.03 MAYBE 197.26/60.03 197.26/60.03 The weightgap principle applies (using the following nonconstant 197.26/60.03 growth matrix-interpretation) 197.26/60.03 197.26/60.03 TcT has computed the following triangular matrix interpretation. 197.26/60.03 Note that the diagonal of the component-wise maxima of 197.26/60.03 interpretation-entries contains no more than 1 non-zero entries. 197.26/60.03 197.26/60.03 [a](x1) = [1] x1 + [2] 197.26/60.03 197.26/60.03 [b](x1) = [1] x1 + [1] 197.26/60.03 197.26/60.03 [c](x1) = [1] x1 + [0] 197.26/60.03 197.26/60.03 The order satisfies the following ordering constraints: 197.26/60.03 197.26/60.03 [a(x1)] = [1] x1 + [2] 197.26/60.03 > [1] x1 + [0] 197.26/60.03 = [x1] 197.26/60.03 197.26/60.03 [a(a(x1))] = [1] x1 + [4] 197.26/60.03 > [1] x1 + [3] 197.26/60.03 = [a(b(x1))] 197.26/60.03 197.26/60.03 [b(x1)] = [1] x1 + [1] 197.26/60.03 > [1] x1 + [0] 197.26/60.03 = [x1] 197.26/60.03 197.26/60.03 [c(b(x1))] = [1] x1 + [1] 197.26/60.03 ? [1] x1 + [3] 197.26/60.03 = [a(b(c(c(x1))))] 197.26/60.03 197.26/60.03 197.26/60.03 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 197.26/60.03 197.26/60.03 We are left with following problem, upon which TcT provides the 197.26/60.03 certificate MAYBE. 197.26/60.03 197.26/60.03 Strict Trs: { c(b(x1)) -> a(b(c(c(x1)))) } 197.26/60.03 Weak Trs: 197.26/60.03 { a(x1) -> x1 197.26/60.03 , a(a(x1)) -> a(b(x1)) 197.26/60.03 , b(x1) -> x1 } 197.26/60.03 Obligation: 197.26/60.03 derivational complexity 197.26/60.03 Answer: 197.26/60.03 MAYBE 197.26/60.03 197.26/60.03 None of the processors succeeded. 197.26/60.03 197.26/60.03 Details of failed attempt(s): 197.26/60.03 ----------------------------- 197.26/60.03 1) 'empty' failed due to the following reason: 197.26/60.03 197.26/60.03 Empty strict component of the problem is NOT empty. 197.26/60.03 197.26/60.03 2) 'Fastest' failed due to the following reason: 197.26/60.03 197.26/60.03 None of the processors succeeded. 197.26/60.03 197.26/60.03 Details of failed attempt(s): 197.26/60.03 ----------------------------- 197.26/60.03 1) 'Fastest (timeout of 30 seconds)' failed due to the following 197.26/60.03 reason: 197.26/60.03 197.26/60.03 Computation stopped due to timeout after 30.0 seconds. 197.26/60.03 197.26/60.03 2) 'Fastest' failed due to the following reason: 197.26/60.03 197.26/60.03 None of the processors succeeded. 197.26/60.03 197.26/60.03 Details of failed attempt(s): 197.26/60.03 ----------------------------- 197.26/60.03 1) 'matrix interpretation of dimension 6' failed due to the 197.26/60.03 following reason: 197.26/60.03 197.26/60.03 The input cannot be shown compatible 197.26/60.03 197.26/60.03 2) 'matrix interpretation of dimension 5' failed due to the 197.26/60.03 following reason: 197.26/60.03 197.26/60.03 The input cannot be shown compatible 197.26/60.03 197.26/60.03 3) 'matrix interpretation of dimension 4' failed due to the 197.26/60.03 following reason: 197.26/60.03 197.26/60.03 The input cannot be shown compatible 197.26/60.03 197.26/60.03 4) 'matrix interpretation of dimension 3' failed due to the 197.26/60.03 following reason: 197.26/60.03 197.26/60.03 The input cannot be shown compatible 197.26/60.03 197.26/60.03 5) 'matrix interpretation of dimension 2' failed due to the 197.26/60.03 following reason: 197.26/60.03 197.26/60.03 The input cannot be shown compatible 197.26/60.03 197.26/60.03 6) 'matrix interpretation of dimension 1' failed due to the 197.26/60.03 following reason: 197.26/60.03 197.26/60.03 The input cannot be shown compatible 197.26/60.03 197.26/60.03 197.26/60.03 3) 'iteProgress' failed due to the following reason: 197.26/60.03 197.26/60.03 Fail 197.26/60.03 197.26/60.03 4) 'bsearch-matrix' failed due to the following reason: 197.26/60.03 197.26/60.03 The input cannot be shown compatible 197.26/60.03 197.26/60.03 197.26/60.03 197.26/60.03 3) 'iteProgress (timeout of 297 seconds)' failed due to the 197.26/60.03 following reason: 197.26/60.03 197.26/60.03 Fail 197.26/60.03 197.26/60.03 4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 197.26/60.03 following reason: 197.26/60.03 197.26/60.03 The input cannot be shown compatible 197.26/60.03 197.26/60.03 197.26/60.03 Arrrr.. 197.26/60.03 EOF