MAYBE 664.59/245.87 MAYBE 664.59/245.87 664.59/245.87 We are left with following problem, upon which TcT provides the 664.59/245.87 certificate MAYBE. 664.59/245.87 664.59/245.87 Strict Trs: 664.59/245.87 { f(x, s(s(y))) -> f(y, x) 664.59/245.87 , f(s(x), y) -> f(x, s(s(x))) } 664.59/245.87 Obligation: 664.59/245.87 innermost runtime complexity 664.59/245.87 Answer: 664.59/245.87 MAYBE 664.59/245.87 664.59/245.87 None of the processors succeeded. 664.59/245.87 664.59/245.87 Details of failed attempt(s): 664.59/245.87 ----------------------------- 664.59/245.87 1) 'empty' failed due to the following reason: 664.59/245.87 664.59/245.87 Empty strict component of the problem is NOT empty. 664.59/245.87 664.59/245.87 2) 'Best' failed due to the following reason: 664.59/245.87 664.59/245.87 None of the processors succeeded. 664.59/245.87 664.59/245.87 Details of failed attempt(s): 664.59/245.87 ----------------------------- 664.59/245.87 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 664.59/245.87 following reason: 664.59/245.87 664.59/245.87 We add the following dependency tuples: 664.59/245.87 664.59/245.87 Strict DPs: 664.59/245.87 { f^#(x, s(s(y))) -> c_1(f^#(y, x)) 664.59/245.87 , f^#(s(x), y) -> c_2(f^#(x, s(s(x)))) } 664.59/245.87 664.59/245.87 and mark the set of starting terms. 664.59/245.87 664.59/245.87 We are left with following problem, upon which TcT provides the 664.59/245.87 certificate MAYBE. 664.59/245.87 664.59/245.87 Strict DPs: 664.59/245.87 { f^#(x, s(s(y))) -> c_1(f^#(y, x)) 664.59/245.87 , f^#(s(x), y) -> c_2(f^#(x, s(s(x)))) } 664.59/245.87 Weak Trs: 664.59/245.87 { f(x, s(s(y))) -> f(y, x) 664.59/245.87 , f(s(x), y) -> f(x, s(s(x))) } 664.59/245.87 Obligation: 664.59/245.87 innermost runtime complexity 664.59/245.87 Answer: 664.59/245.87 MAYBE 664.59/245.87 664.59/245.87 No rule is usable, rules are removed from the input problem. 664.59/245.87 664.59/245.87 We are left with following problem, upon which TcT provides the 664.59/245.87 certificate MAYBE. 664.59/245.87 664.59/245.87 Strict DPs: 664.59/245.87 { f^#(x, s(s(y))) -> c_1(f^#(y, x)) 664.59/245.87 , f^#(s(x), y) -> c_2(f^#(x, s(s(x)))) } 664.59/245.87 Obligation: 664.59/245.87 innermost runtime complexity 664.59/245.87 Answer: 664.59/245.87 MAYBE 664.59/245.87 664.59/245.87 None of the processors succeeded. 664.59/245.87 664.59/245.87 Details of failed attempt(s): 664.59/245.87 ----------------------------- 664.59/245.87 1) 'empty' failed due to the following reason: 664.59/245.87 664.59/245.87 Empty strict component of the problem is NOT empty. 664.59/245.87 664.59/245.87 2) 'With Problem ...' failed due to the following reason: 664.59/245.87 664.59/245.87 None of the processors succeeded. 664.59/245.87 664.59/245.87 Details of failed attempt(s): 664.59/245.87 ----------------------------- 664.59/245.87 1) 'empty' failed due to the following reason: 664.59/245.87 664.59/245.87 Empty strict component of the problem is NOT empty. 664.59/245.87 664.59/245.87 2) 'Fastest' failed due to the following reason: 664.59/245.87 664.59/245.87 None of the processors succeeded. 664.59/245.87 664.59/245.87 Details of failed attempt(s): 664.59/245.87 ----------------------------- 664.59/245.87 1) 'With Problem ...' failed due to the following reason: 664.59/245.87 664.59/245.87 None of the processors succeeded. 664.59/245.87 664.59/245.87 Details of failed attempt(s): 664.59/245.87 ----------------------------- 664.59/245.87 1) 'empty' failed due to the following reason: 664.59/245.87 664.59/245.87 Empty strict component of the problem is NOT empty. 664.59/245.87 664.59/245.87 2) 'Polynomial Path Order (PS)' failed due to the following reason: 664.59/245.87 664.59/245.87 The input cannot be shown compatible 664.59/245.87 664.59/245.87 664.59/245.87 2) 'Polynomial Path Order (PS)' failed due to the following reason: 664.59/245.87 664.59/245.87 The input cannot be shown compatible 664.59/245.87 664.59/245.87 3) 'Fastest (timeout of 24 seconds)' failed due to the following 664.59/245.87 reason: 664.59/245.87 664.59/245.87 None of the processors succeeded. 664.59/245.87 664.59/245.87 Details of failed attempt(s): 664.59/245.87 ----------------------------- 664.59/245.87 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 664.59/245.87 failed due to the following reason: 664.59/245.87 664.59/245.87 match-boundness of the problem could not be verified. 664.59/245.87 664.59/245.87 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 664.59/245.87 failed due to the following reason: 664.59/245.87 664.59/245.87 match-boundness of the problem could not be verified. 664.59/245.87 664.59/245.87 664.59/245.87 664.59/245.87 664.59/245.87 664.59/245.87 2) 'Best' failed due to the following reason: 664.59/245.87 664.59/245.87 None of the processors succeeded. 664.59/245.87 664.59/245.87 Details of failed attempt(s): 664.59/245.87 ----------------------------- 664.59/245.87 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 664.59/245.87 seconds)' failed due to the following reason: 664.59/245.87 664.59/245.87 None of the processors succeeded. 664.59/245.87 664.59/245.87 Details of failed attempt(s): 664.59/245.87 ----------------------------- 664.59/245.87 1) 'empty' failed due to the following reason: 664.59/245.87 664.59/245.87 Empty strict component of the problem is NOT empty. 664.59/245.87 664.59/245.87 2) 'With Problem ...' failed due to the following reason: 664.59/245.87 664.59/245.87 None of the processors succeeded. 664.59/245.87 664.59/245.87 Details of failed attempt(s): 664.59/245.87 ----------------------------- 664.59/245.87 1) 'empty' failed due to the following reason: 664.59/245.87 664.59/245.87 Empty strict component of the problem is NOT empty. 664.59/245.87 664.59/245.87 2) 'Fastest' failed due to the following reason: 664.59/245.87 664.59/245.87 None of the processors succeeded. 664.59/245.87 664.59/245.87 Details of failed attempt(s): 664.59/245.87 ----------------------------- 664.59/245.87 1) 'With Problem ...' failed due to the following reason: 664.59/245.87 664.59/245.87 None of the processors succeeded. 664.59/245.87 664.59/245.87 Details of failed attempt(s): 664.59/245.87 ----------------------------- 664.59/245.87 1) 'empty' failed due to the following reason: 664.59/245.87 664.59/245.87 Empty strict component of the problem is NOT empty. 664.59/245.87 664.59/245.87 2) 'With Problem ...' failed due to the following reason: 664.59/245.87 664.59/245.87 None of the processors succeeded. 664.59/245.87 664.59/245.87 Details of failed attempt(s): 664.59/245.87 ----------------------------- 664.59/245.87 1) 'empty' failed due to the following reason: 664.59/245.87 664.59/245.87 Empty strict component of the problem is NOT empty. 664.59/245.87 664.59/245.87 2) 'With Problem ...' failed due to the following reason: 664.59/245.87 664.59/245.87 None of the processors succeeded. 664.59/245.87 664.59/245.87 Details of failed attempt(s): 664.59/245.87 ----------------------------- 664.59/245.87 1) 'empty' failed due to the following reason: 664.59/245.87 664.59/245.87 Empty strict component of the problem is NOT empty. 664.59/245.87 664.59/245.87 2) 'With Problem ...' failed due to the following reason: 664.59/245.87 664.59/245.87 Empty strict component of the problem is NOT empty. 664.59/245.87 664.59/245.87 664.59/245.87 664.59/245.87 664.59/245.87 2) 'With Problem ...' failed due to the following reason: 664.59/245.87 664.59/245.87 None of the processors succeeded. 664.59/245.87 664.59/245.87 Details of failed attempt(s): 664.59/245.87 ----------------------------- 664.59/245.87 1) 'empty' failed due to the following reason: 664.59/245.87 664.59/245.87 Empty strict component of the problem is NOT empty. 664.59/245.87 664.59/245.87 2) 'With Problem ...' failed due to the following reason: 664.59/245.87 664.59/245.87 Empty strict component of the problem is NOT empty. 664.59/245.87 664.59/245.87 664.59/245.87 664.59/245.87 664.59/245.87 664.59/245.87 2) 'Best' failed due to the following reason: 664.59/245.87 664.59/245.87 None of the processors succeeded. 664.59/245.87 664.59/245.87 Details of failed attempt(s): 664.59/245.87 ----------------------------- 664.59/245.87 1) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 664.59/245.87 to the following reason: 664.59/245.87 664.59/245.87 The input cannot be shown compatible 664.59/245.87 664.59/245.87 2) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 664.59/245.87 following reason: 664.59/245.87 664.59/245.87 The input cannot be shown compatible 664.59/245.87 664.59/245.87 664.59/245.87 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 664.59/245.87 failed due to the following reason: 664.59/245.87 664.59/245.87 None of the processors succeeded. 664.59/245.87 664.59/245.87 Details of failed attempt(s): 664.59/245.87 ----------------------------- 664.59/245.87 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 664.59/245.87 failed due to the following reason: 664.59/245.87 664.59/245.87 match-boundness of the problem could not be verified. 664.59/245.87 664.59/245.87 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 664.59/245.87 failed due to the following reason: 664.59/245.87 664.59/245.87 match-boundness of the problem could not be verified. 664.59/245.87 664.59/245.87 664.59/245.87 664.59/245.87 664.59/245.87 664.59/245.87 Arrrr.. 664.84/245.94 EOF