MAYBE 21.92/8.70 MAYBE 21.92/8.70 21.92/8.70 We are left with following problem, upon which TcT provides the 21.92/8.70 certificate MAYBE. 21.92/8.70 21.92/8.70 Strict Trs: 21.92/8.70 { f(x, y) -> f(x, x) 21.92/8.70 , f(s(x), y) -> f(y, x) } 21.92/8.70 Obligation: 21.92/8.70 innermost runtime complexity 21.92/8.70 Answer: 21.92/8.70 MAYBE 21.92/8.70 21.92/8.70 None of the processors succeeded. 21.92/8.70 21.92/8.70 Details of failed attempt(s): 21.92/8.70 ----------------------------- 21.92/8.70 1) 'empty' failed due to the following reason: 21.92/8.70 21.92/8.70 Empty strict component of the problem is NOT empty. 21.92/8.70 21.92/8.70 2) 'Best' failed due to the following reason: 21.92/8.70 21.92/8.70 None of the processors succeeded. 21.92/8.70 21.92/8.70 Details of failed attempt(s): 21.92/8.70 ----------------------------- 21.92/8.70 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 21.92/8.70 following reason: 21.92/8.70 21.92/8.70 We add the following dependency tuples: 21.92/8.70 21.92/8.70 Strict DPs: 21.92/8.70 { f^#(x, y) -> c_1(f^#(x, x)) 21.92/8.70 , f^#(s(x), y) -> c_2(f^#(y, x)) } 21.92/8.70 21.92/8.70 and mark the set of starting terms. 21.92/8.70 21.92/8.70 We are left with following problem, upon which TcT provides the 21.92/8.70 certificate MAYBE. 21.92/8.70 21.92/8.70 Strict DPs: 21.92/8.70 { f^#(x, y) -> c_1(f^#(x, x)) 21.92/8.70 , f^#(s(x), y) -> c_2(f^#(y, x)) } 21.92/8.70 Weak Trs: 21.92/8.70 { f(x, y) -> f(x, x) 21.92/8.70 , f(s(x), y) -> f(y, x) } 21.92/8.70 Obligation: 21.92/8.70 innermost runtime complexity 21.92/8.70 Answer: 21.92/8.70 MAYBE 21.92/8.70 21.92/8.70 No rule is usable, rules are removed from the input problem. 21.92/8.70 21.92/8.70 We are left with following problem, upon which TcT provides the 21.92/8.70 certificate MAYBE. 21.92/8.70 21.92/8.70 Strict DPs: 21.92/8.70 { f^#(x, y) -> c_1(f^#(x, x)) 21.92/8.70 , f^#(s(x), y) -> c_2(f^#(y, x)) } 21.92/8.70 Obligation: 21.92/8.70 innermost runtime complexity 21.92/8.70 Answer: 21.92/8.70 MAYBE 21.92/8.70 21.92/8.70 None of the processors succeeded. 21.92/8.70 21.92/8.70 Details of failed attempt(s): 21.92/8.70 ----------------------------- 21.92/8.70 1) 'empty' failed due to the following reason: 21.92/8.70 21.92/8.70 Empty strict component of the problem is NOT empty. 21.92/8.70 21.92/8.70 2) 'With Problem ...' failed due to the following reason: 21.92/8.70 21.92/8.70 None of the processors succeeded. 21.92/8.70 21.92/8.70 Details of failed attempt(s): 21.92/8.70 ----------------------------- 21.92/8.70 1) 'empty' failed due to the following reason: 21.92/8.70 21.92/8.70 Empty strict component of the problem is NOT empty. 21.92/8.70 21.92/8.70 2) 'Fastest' failed due to the following reason: 21.92/8.70 21.92/8.70 None of the processors succeeded. 21.92/8.70 21.92/8.70 Details of failed attempt(s): 21.92/8.70 ----------------------------- 21.92/8.70 1) 'With Problem ...' failed due to the following reason: 21.92/8.70 21.92/8.70 None of the processors succeeded. 21.92/8.70 21.92/8.70 Details of failed attempt(s): 21.92/8.70 ----------------------------- 21.92/8.70 1) 'empty' failed due to the following reason: 21.92/8.70 21.92/8.70 Empty strict component of the problem is NOT empty. 21.92/8.70 21.92/8.70 2) 'Polynomial Path Order (PS)' failed due to the following reason: 21.92/8.70 21.92/8.70 The input cannot be shown compatible 21.92/8.70 21.92/8.70 21.92/8.70 2) 'Polynomial Path Order (PS)' failed due to the following reason: 21.92/8.70 21.92/8.70 The input cannot be shown compatible 21.92/8.70 21.92/8.70 3) 'Fastest (timeout of 24 seconds)' failed due to the following 21.92/8.70 reason: 21.92/8.70 21.92/8.70 None of the processors succeeded. 21.92/8.70 21.92/8.70 Details of failed attempt(s): 21.92/8.70 ----------------------------- 21.92/8.70 1) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 21.92/8.70 failed due to the following reason: 21.92/8.70 21.92/8.70 match-boundness of the problem could not be verified. 21.92/8.70 21.92/8.70 2) 'Bounds with minimal-enrichment and initial automaton 'match'' 21.92/8.70 failed due to the following reason: 21.92/8.70 21.92/8.70 match-boundness of the problem could not be verified. 21.92/8.70 21.92/8.70 21.92/8.70 21.92/8.70 21.92/8.70 21.92/8.70 2) 'Best' failed due to the following reason: 21.92/8.70 21.92/8.70 None of the processors succeeded. 21.92/8.70 21.92/8.70 Details of failed attempt(s): 21.92/8.70 ----------------------------- 21.92/8.70 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 21.92/8.70 seconds)' failed due to the following reason: 21.92/8.70 21.92/8.70 None of the processors succeeded. 21.92/8.70 21.92/8.70 Details of failed attempt(s): 21.92/8.70 ----------------------------- 21.92/8.70 1) 'empty' failed due to the following reason: 21.92/8.70 21.92/8.70 Empty strict component of the problem is NOT empty. 21.92/8.70 21.92/8.70 2) 'With Problem ...' failed due to the following reason: 21.92/8.70 21.92/8.70 None of the processors succeeded. 21.92/8.70 21.92/8.70 Details of failed attempt(s): 21.92/8.70 ----------------------------- 21.92/8.70 1) 'empty' failed due to the following reason: 21.92/8.70 21.92/8.70 Empty strict component of the problem is NOT empty. 21.92/8.70 21.92/8.70 2) 'Fastest' failed due to the following reason: 21.92/8.70 21.92/8.70 None of the processors succeeded. 21.92/8.70 21.92/8.70 Details of failed attempt(s): 21.92/8.70 ----------------------------- 21.92/8.70 1) 'With Problem ...' failed due to the following reason: 21.92/8.70 21.92/8.70 None of the processors succeeded. 21.92/8.70 21.92/8.70 Details of failed attempt(s): 21.92/8.70 ----------------------------- 21.92/8.70 1) 'empty' failed due to the following reason: 21.92/8.70 21.92/8.70 Empty strict component of the problem is NOT empty. 21.92/8.70 21.92/8.70 2) 'With Problem ...' failed due to the following reason: 21.92/8.70 21.92/8.70 None of the processors succeeded. 21.92/8.70 21.92/8.70 Details of failed attempt(s): 21.92/8.70 ----------------------------- 21.92/8.70 1) 'empty' failed due to the following reason: 21.92/8.70 21.92/8.70 Empty strict component of the problem is NOT empty. 21.92/8.70 21.92/8.70 2) 'With Problem ...' failed due to the following reason: 21.92/8.70 21.92/8.70 None of the processors succeeded. 21.92/8.70 21.92/8.70 Details of failed attempt(s): 21.92/8.70 ----------------------------- 21.92/8.70 1) 'empty' failed due to the following reason: 21.92/8.70 21.92/8.70 Empty strict component of the problem is NOT empty. 21.92/8.70 21.92/8.70 2) 'With Problem ...' failed due to the following reason: 21.92/8.70 21.92/8.70 Empty strict component of the problem is NOT empty. 21.92/8.70 21.92/8.70 21.92/8.70 21.92/8.70 21.92/8.70 2) 'With Problem ...' failed due to the following reason: 21.92/8.70 21.92/8.70 None of the processors succeeded. 21.92/8.70 21.92/8.70 Details of failed attempt(s): 21.92/8.70 ----------------------------- 21.92/8.70 1) 'empty' failed due to the following reason: 21.92/8.70 21.92/8.70 Empty strict component of the problem is NOT empty. 21.92/8.70 21.92/8.70 2) 'With Problem ...' failed due to the following reason: 21.92/8.70 21.92/8.70 Empty strict component of the problem is NOT empty. 21.92/8.70 21.92/8.70 21.92/8.70 21.92/8.70 21.92/8.70 21.92/8.70 2) 'Best' failed due to the following reason: 21.92/8.70 21.92/8.70 None of the processors succeeded. 21.92/8.70 21.92/8.70 Details of failed attempt(s): 21.92/8.70 ----------------------------- 21.92/8.70 1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 21.92/8.70 following reason: 21.92/8.70 21.92/8.70 The input cannot be shown compatible 21.92/8.70 21.92/8.70 2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 21.92/8.70 to the following reason: 21.92/8.70 21.92/8.70 The input cannot be shown compatible 21.92/8.70 21.92/8.70 21.92/8.70 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 21.92/8.70 failed due to the following reason: 21.92/8.70 21.92/8.70 None of the processors succeeded. 21.92/8.70 21.92/8.70 Details of failed attempt(s): 21.92/8.70 ----------------------------- 21.92/8.70 1) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 21.92/8.70 failed due to the following reason: 21.92/8.70 21.92/8.70 match-boundness of the problem could not be verified. 21.92/8.70 21.92/8.70 2) 'Bounds with minimal-enrichment and initial automaton 'match'' 21.92/8.70 failed due to the following reason: 21.92/8.70 21.92/8.70 match-boundness of the problem could not be verified. 21.92/8.70 21.92/8.70 21.92/8.70 21.92/8.70 21.92/8.70 21.92/8.70 Arrrr.. 22.12/8.74 EOF