MAYBE 203.59/60.03 MAYBE 203.59/60.03 203.59/60.03 We are left with following problem, upon which TcT provides the 203.59/60.03 certificate MAYBE. 203.59/60.03 203.59/60.03 Strict Trs: 203.59/60.03 { a(x1) -> x1 203.59/60.03 , a(a(x1)) -> b(x1) 203.59/60.03 , b(x1) -> x1 203.59/60.03 , b(c(x1)) -> c(c(c(b(a(x1))))) } 203.59/60.03 Obligation: 203.59/60.03 derivational complexity 203.59/60.03 Answer: 203.59/60.03 MAYBE 203.59/60.03 203.59/60.03 None of the processors succeeded. 203.59/60.03 203.59/60.03 Details of failed attempt(s): 203.59/60.03 ----------------------------- 203.59/60.03 1) 'Fastest (timeout of 60 seconds)' failed due to the following 203.59/60.03 reason: 203.59/60.03 203.59/60.03 Computation stopped due to timeout after 60.0 seconds. 203.59/60.03 203.59/60.03 2) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 203.59/60.03 the following reason: 203.59/60.03 203.59/60.03 The weightgap principle applies (using the following nonconstant 203.59/60.03 growth matrix-interpretation) 203.59/60.03 203.59/60.03 TcT has computed the following triangular matrix interpretation. 203.59/60.03 Note that the diagonal of the component-wise maxima of 203.59/60.03 interpretation-entries contains no more than 1 non-zero entries. 203.59/60.03 203.59/60.03 [a](x1) = [1] x1 + [0] 203.59/60.03 203.59/60.03 [b](x1) = [1] x1 + [1] 203.59/60.03 203.59/60.03 [c](x1) = [1] x1 + [0] 203.59/60.03 203.59/60.03 The order satisfies the following ordering constraints: 203.59/60.03 203.59/60.03 [a(x1)] = [1] x1 + [0] 203.59/60.03 >= [1] x1 + [0] 203.59/60.03 = [x1] 203.59/60.03 203.59/60.03 [a(a(x1))] = [1] x1 + [0] 203.59/60.03 ? [1] x1 + [1] 203.59/60.03 = [b(x1)] 203.59/60.03 203.59/60.03 [b(x1)] = [1] x1 + [1] 203.59/60.03 > [1] x1 + [0] 203.59/60.03 = [x1] 203.59/60.03 203.59/60.03 [b(c(x1))] = [1] x1 + [1] 203.59/60.03 >= [1] x1 + [1] 203.59/60.03 = [c(c(c(b(a(x1)))))] 203.59/60.03 203.59/60.03 203.59/60.03 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 203.59/60.03 203.59/60.03 We are left with following problem, upon which TcT provides the 203.59/60.03 certificate MAYBE. 203.59/60.03 203.59/60.03 Strict Trs: 203.59/60.03 { a(x1) -> x1 203.59/60.03 , a(a(x1)) -> b(x1) 203.59/60.03 , b(c(x1)) -> c(c(c(b(a(x1))))) } 203.59/60.03 Weak Trs: { b(x1) -> x1 } 203.59/60.03 Obligation: 203.59/60.03 derivational complexity 203.59/60.03 Answer: 203.59/60.03 MAYBE 203.59/60.03 203.59/60.03 The weightgap principle applies (using the following nonconstant 203.59/60.03 growth matrix-interpretation) 203.59/60.03 203.59/60.03 TcT has computed the following triangular matrix interpretation. 203.59/60.03 Note that the diagonal of the component-wise maxima of 203.59/60.03 interpretation-entries contains no more than 1 non-zero entries. 203.59/60.03 203.59/60.03 [a](x1) = [1] x1 + [1] 203.59/60.03 203.59/60.03 [b](x1) = [1] x1 + [0] 203.59/60.03 203.59/60.03 [c](x1) = [1] x1 + [0] 203.59/60.03 203.59/60.03 The order satisfies the following ordering constraints: 203.59/60.03 203.59/60.03 [a(x1)] = [1] x1 + [1] 203.59/60.03 > [1] x1 + [0] 203.59/60.03 = [x1] 203.59/60.03 203.59/60.03 [a(a(x1))] = [1] x1 + [2] 203.59/60.03 > [1] x1 + [0] 203.59/60.03 = [b(x1)] 203.59/60.03 203.59/60.03 [b(x1)] = [1] x1 + [0] 203.59/60.03 >= [1] x1 + [0] 203.59/60.03 = [x1] 203.59/60.03 203.59/60.03 [b(c(x1))] = [1] x1 + [0] 203.59/60.03 ? [1] x1 + [1] 203.59/60.03 = [c(c(c(b(a(x1)))))] 203.59/60.03 203.59/60.03 203.59/60.03 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 203.59/60.03 203.59/60.03 We are left with following problem, upon which TcT provides the 203.59/60.03 certificate MAYBE. 203.59/60.03 203.59/60.03 Strict Trs: { b(c(x1)) -> c(c(c(b(a(x1))))) } 203.59/60.03 Weak Trs: 203.59/60.03 { a(x1) -> x1 203.59/60.03 , a(a(x1)) -> b(x1) 203.59/60.03 , b(x1) -> x1 } 203.59/60.03 Obligation: 203.59/60.03 derivational complexity 203.59/60.03 Answer: 203.59/60.03 MAYBE 203.59/60.03 203.59/60.03 None of the processors succeeded. 203.59/60.03 203.59/60.03 Details of failed attempt(s): 203.59/60.03 ----------------------------- 203.59/60.03 1) 'empty' failed due to the following reason: 203.59/60.03 203.59/60.03 Empty strict component of the problem is NOT empty. 203.59/60.03 203.59/60.03 2) 'Fastest' failed due to the following reason: 203.59/60.03 203.59/60.03 None of the processors succeeded. 203.59/60.03 203.59/60.03 Details of failed attempt(s): 203.59/60.03 ----------------------------- 203.59/60.03 1) 'bsearch-matrix' failed due to the following reason: 203.59/60.03 203.59/60.03 The input cannot be shown compatible 203.59/60.03 203.59/60.03 2) 'Fastest' failed due to the following reason: 203.59/60.03 203.59/60.03 None of the processors succeeded. 203.59/60.03 203.59/60.03 Details of failed attempt(s): 203.59/60.03 ----------------------------- 203.59/60.03 1) 'matrix interpretation of dimension 6' failed due to the 203.59/60.03 following reason: 203.59/60.03 203.59/60.03 The input cannot be shown compatible 203.59/60.03 203.59/60.03 2) 'matrix interpretation of dimension 5' failed due to the 203.59/60.03 following reason: 203.59/60.03 203.59/60.03 The input cannot be shown compatible 203.59/60.03 203.59/60.03 3) 'matrix interpretation of dimension 4' failed due to the 203.59/60.03 following reason: 203.59/60.03 203.59/60.03 The input cannot be shown compatible 203.59/60.03 203.59/60.03 4) 'matrix interpretation of dimension 3' failed due to the 203.59/60.03 following reason: 203.59/60.03 203.59/60.03 The input cannot be shown compatible 203.59/60.03 203.59/60.03 5) 'matrix interpretation of dimension 2' failed due to the 203.59/60.03 following reason: 203.59/60.03 203.59/60.03 The input cannot be shown compatible 203.59/60.03 203.59/60.03 6) 'matrix interpretation of dimension 1' failed due to the 203.59/60.03 following reason: 203.59/60.03 203.59/60.03 The input cannot be shown compatible 203.59/60.03 203.59/60.03 203.59/60.03 3) 'Fastest (timeout of 30 seconds)' failed due to the following 203.59/60.03 reason: 203.59/60.03 203.59/60.03 Computation stopped due to timeout after 30.0 seconds. 203.59/60.03 203.59/60.03 4) 'iteProgress' failed due to the following reason: 203.59/60.03 203.59/60.03 Fail 203.59/60.03 203.59/60.03 203.59/60.03 203.59/60.03 3) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 203.59/60.03 following reason: 203.59/60.03 203.59/60.03 The input cannot be shown compatible 203.59/60.03 203.59/60.03 4) 'iteProgress (timeout of 297 seconds)' failed due to the 203.59/60.03 following reason: 203.59/60.03 203.59/60.03 Fail 203.59/60.03 203.59/60.03 203.59/60.03 Arrrr.. 203.59/60.04 EOF