MAYBE 947.19/297.03 MAYBE 947.19/297.03 947.19/297.03 We are left with following problem, upon which TcT provides the 947.19/297.03 certificate MAYBE. 947.19/297.03 947.19/297.03 Strict Trs: 947.19/297.03 { b(y, z) -> f(c(c(y, z, z), a(), a())) 947.19/297.03 , b(b(z, y), a()) -> z 947.19/297.03 , c(f(z), f(c(a(), x, a())), y) -> 947.19/297.03 c(f(b(x, z)), c(z, y, a()), a()) } 947.19/297.03 Obligation: 947.19/297.03 runtime complexity 947.19/297.03 Answer: 947.19/297.03 MAYBE 947.19/297.03 947.19/297.03 None of the processors succeeded. 947.19/297.03 947.19/297.03 Details of failed attempt(s): 947.19/297.03 ----------------------------- 947.19/297.03 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 947.19/297.03 following reason: 947.19/297.03 947.19/297.03 Computation stopped due to timeout after 297.0 seconds. 947.19/297.03 947.19/297.03 2) 'Best' failed due to the following reason: 947.19/297.03 947.19/297.03 None of the processors succeeded. 947.19/297.03 947.19/297.03 Details of failed attempt(s): 947.19/297.03 ----------------------------- 947.19/297.03 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 947.19/297.03 seconds)' failed due to the following reason: 947.19/297.03 947.19/297.03 None of the processors succeeded. 947.19/297.03 947.19/297.03 Details of failed attempt(s): 947.19/297.03 ----------------------------- 947.19/297.03 1) 'empty' failed due to the following reason: 947.19/297.03 947.19/297.03 Empty strict component of the problem is NOT empty. 947.19/297.03 947.19/297.03 2) 'With Problem ...' failed due to the following reason: 947.19/297.03 947.19/297.03 None of the processors succeeded. 947.19/297.03 947.19/297.03 Details of failed attempt(s): 947.19/297.03 ----------------------------- 947.19/297.03 1) 'empty' failed due to the following reason: 947.19/297.03 947.19/297.03 Empty strict component of the problem is NOT empty. 947.19/297.03 947.19/297.03 2) 'Fastest' failed due to the following reason: 947.19/297.03 947.19/297.03 None of the processors succeeded. 947.19/297.03 947.19/297.03 Details of failed attempt(s): 947.19/297.03 ----------------------------- 947.19/297.03 1) 'With Problem ...' failed due to the following reason: 947.19/297.03 947.19/297.03 None of the processors succeeded. 947.19/297.03 947.19/297.03 Details of failed attempt(s): 947.19/297.03 ----------------------------- 947.19/297.03 1) 'empty' failed due to the following reason: 947.19/297.03 947.19/297.03 Empty strict component of the problem is NOT empty. 947.19/297.03 947.19/297.03 2) 'With Problem ...' failed due to the following reason: 947.19/297.03 947.19/297.03 Empty strict component of the problem is NOT empty. 947.19/297.03 947.19/297.03 947.19/297.03 2) 'With Problem ...' failed due to the following reason: 947.19/297.03 947.19/297.03 None of the processors succeeded. 947.19/297.03 947.19/297.03 Details of failed attempt(s): 947.19/297.03 ----------------------------- 947.19/297.03 1) 'empty' failed due to the following reason: 947.19/297.03 947.19/297.03 Empty strict component of the problem is NOT empty. 947.19/297.03 947.19/297.03 2) 'With Problem ...' failed due to the following reason: 947.19/297.03 947.19/297.03 None of the processors succeeded. 947.19/297.03 947.19/297.03 Details of failed attempt(s): 947.19/297.03 ----------------------------- 947.19/297.03 1) 'empty' failed due to the following reason: 947.19/297.03 947.19/297.03 Empty strict component of the problem is NOT empty. 947.19/297.03 947.19/297.03 2) 'With Problem ...' failed due to the following reason: 947.19/297.03 947.19/297.03 None of the processors succeeded. 947.19/297.03 947.19/297.03 Details of failed attempt(s): 947.19/297.03 ----------------------------- 947.19/297.03 1) 'empty' failed due to the following reason: 947.19/297.03 947.19/297.03 Empty strict component of the problem is NOT empty. 947.19/297.03 947.19/297.03 2) 'With Problem ...' failed due to the following reason: 947.19/297.03 947.19/297.03 Empty strict component of the problem is NOT empty. 947.19/297.03 947.19/297.03 947.19/297.03 947.19/297.03 947.19/297.03 947.19/297.03 947.19/297.03 947.19/297.03 2) 'Best' failed due to the following reason: 947.19/297.03 947.19/297.03 None of the processors succeeded. 947.19/297.03 947.19/297.03 Details of failed attempt(s): 947.19/297.03 ----------------------------- 947.19/297.03 1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 947.19/297.03 following reason: 947.19/297.03 947.19/297.03 The processor is inapplicable, reason: 947.19/297.03 Processor only applicable for innermost runtime complexity analysis 947.19/297.03 947.19/297.03 2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 947.19/297.03 to the following reason: 947.19/297.03 947.19/297.03 The processor is inapplicable, reason: 947.19/297.03 Processor only applicable for innermost runtime complexity analysis 947.19/297.03 947.19/297.03 947.19/297.03 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 947.19/297.03 failed due to the following reason: 947.19/297.03 947.19/297.03 None of the processors succeeded. 947.19/297.03 947.19/297.03 Details of failed attempt(s): 947.19/297.03 ----------------------------- 947.19/297.03 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 947.19/297.03 failed due to the following reason: 947.19/297.03 947.19/297.03 match-boundness of the problem could not be verified. 947.19/297.03 947.19/297.03 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 947.19/297.03 failed due to the following reason: 947.19/297.03 947.19/297.03 match-boundness of the problem could not be verified. 947.19/297.03 947.19/297.03 947.19/297.03 947.19/297.03 3) 'Weak Dependency Pairs (timeout of 297 seconds)' failed due to 947.19/297.03 the following reason: 947.19/297.03 947.19/297.03 We add the following weak dependency pairs: 947.19/297.03 947.19/297.03 Strict DPs: 947.19/297.03 { b^#(y, z) -> c_1(c^#(c(y, z, z), a(), a())) 947.19/297.03 , b^#(b(z, y), a()) -> c_2(z) 947.19/297.03 , c^#(f(z), f(c(a(), x, a())), y) -> 947.19/297.03 c_3(c^#(f(b(x, z)), c(z, y, a()), a())) } 947.19/297.03 947.19/297.03 and mark the set of starting terms. 947.19/297.03 947.19/297.03 We are left with following problem, upon which TcT provides the 947.19/297.03 certificate MAYBE. 947.19/297.03 947.19/297.03 Strict DPs: 947.19/297.03 { b^#(y, z) -> c_1(c^#(c(y, z, z), a(), a())) 947.19/297.03 , b^#(b(z, y), a()) -> c_2(z) 947.19/297.03 , c^#(f(z), f(c(a(), x, a())), y) -> 947.19/297.03 c_3(c^#(f(b(x, z)), c(z, y, a()), a())) } 947.19/297.03 Strict Trs: 947.19/297.03 { b(y, z) -> f(c(c(y, z, z), a(), a())) 947.19/297.03 , b(b(z, y), a()) -> z 947.19/297.03 , c(f(z), f(c(a(), x, a())), y) -> 947.19/297.03 c(f(b(x, z)), c(z, y, a()), a()) } 947.19/297.03 Obligation: 947.19/297.03 runtime complexity 947.19/297.03 Answer: 947.19/297.03 MAYBE 947.19/297.03 947.19/297.03 Consider the dependency graph: 947.19/297.03 947.19/297.03 1: b^#(y, z) -> c_1(c^#(c(y, z, z), a(), a())) 947.19/297.03 947.19/297.03 2: b^#(b(z, y), a()) -> c_2(z) 947.19/297.03 -->_1 c^#(f(z), f(c(a(), x, a())), y) -> 947.19/297.03 c_3(c^#(f(b(x, z)), c(z, y, a()), a())) :3 947.19/297.03 -->_1 b^#(b(z, y), a()) -> c_2(z) :2 947.19/297.03 -->_1 b^#(y, z) -> c_1(c^#(c(y, z, z), a(), a())) :1 947.19/297.03 947.19/297.03 3: c^#(f(z), f(c(a(), x, a())), y) -> 947.19/297.03 c_3(c^#(f(b(x, z)), c(z, y, a()), a())) 947.19/297.03 -->_1 c^#(f(z), f(c(a(), x, a())), y) -> 947.19/297.03 c_3(c^#(f(b(x, z)), c(z, y, a()), a())) :3 947.19/297.03 947.19/297.03 947.19/297.03 Only the nodes {1} are reachable from nodes {1} that start 947.19/297.03 derivation from marked basic terms. The nodes not reachable are 947.19/297.03 removed from the problem. 947.19/297.03 947.19/297.03 We are left with following problem, upon which TcT provides the 947.19/297.03 certificate MAYBE. 947.19/297.03 947.19/297.03 Strict DPs: { b^#(y, z) -> c_1(c^#(c(y, z, z), a(), a())) } 947.19/297.03 Strict Trs: 947.19/297.03 { b(y, z) -> f(c(c(y, z, z), a(), a())) 947.19/297.03 , b(b(z, y), a()) -> z 947.19/297.03 , c(f(z), f(c(a(), x, a())), y) -> 947.19/297.03 c(f(b(x, z)), c(z, y, a()), a()) } 947.19/297.03 Obligation: 947.19/297.03 runtime complexity 947.19/297.03 Answer: 947.19/297.03 MAYBE 947.19/297.03 947.19/297.03 We estimate the number of application of {1} by applications of 947.19/297.03 Pre({1}) = {}. Here rules are labeled as follows: 947.19/297.03 947.19/297.03 DPs: 947.19/297.03 { 1: b^#(y, z) -> c_1(c^#(c(y, z, z), a(), a())) } 947.19/297.03 947.19/297.03 We are left with following problem, upon which TcT provides the 947.19/297.03 certificate MAYBE. 947.19/297.03 947.19/297.03 Strict Trs: 947.19/297.03 { b(y, z) -> f(c(c(y, z, z), a(), a())) 947.19/297.03 , b(b(z, y), a()) -> z 947.19/297.03 , c(f(z), f(c(a(), x, a())), y) -> 947.19/297.03 c(f(b(x, z)), c(z, y, a()), a()) } 947.19/297.03 Weak DPs: { b^#(y, z) -> c_1(c^#(c(y, z, z), a(), a())) } 947.19/297.03 Obligation: 947.19/297.03 runtime complexity 947.19/297.03 Answer: 947.19/297.03 MAYBE 947.19/297.03 947.19/297.03 Empty strict component of the problem is NOT empty. 947.19/297.03 947.19/297.03 947.19/297.03 Arrrr.. 947.94/297.78 EOF