MAYBE 1082.50/297.02 MAYBE 1082.50/297.02 1082.50/297.02 We are left with following problem, upon which TcT provides the 1082.50/297.02 certificate MAYBE. 1082.50/297.02 1082.50/297.02 Strict Trs: 1082.50/297.02 { rev(nil()) -> nil() 1082.50/297.02 , rev(++(x, y)) -> ++(rev1(x, y), rev2(x, y)) 1082.50/297.02 , rev1(x, nil()) -> x 1082.50/297.02 , rev1(x, ++(y, z)) -> rev1(y, z) 1082.50/297.02 , rev2(x, nil()) -> nil() 1082.50/297.02 , rev2(x, ++(y, z)) -> rev(++(x, rev(rev2(y, z)))) } 1082.50/297.02 Obligation: 1082.50/297.02 runtime complexity 1082.50/297.02 Answer: 1082.50/297.02 MAYBE 1082.50/297.02 1082.50/297.02 None of the processors succeeded. 1082.50/297.02 1082.50/297.02 Details of failed attempt(s): 1082.50/297.02 ----------------------------- 1082.50/297.02 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 1082.50/297.02 following reason: 1082.50/297.02 1082.50/297.02 Computation stopped due to timeout after 297.0 seconds. 1082.50/297.02 1082.50/297.02 2) 'Best' failed due to the following reason: 1082.50/297.02 1082.50/297.02 None of the processors succeeded. 1082.50/297.02 1082.50/297.02 Details of failed attempt(s): 1082.50/297.02 ----------------------------- 1082.50/297.02 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 1082.50/297.02 seconds)' failed due to the following reason: 1082.50/297.02 1082.50/297.02 Computation stopped due to timeout after 148.0 seconds. 1082.50/297.02 1082.50/297.02 2) 'Best' failed due to the following reason: 1082.50/297.02 1082.50/297.02 None of the processors succeeded. 1082.50/297.02 1082.50/297.02 Details of failed attempt(s): 1082.50/297.02 ----------------------------- 1082.50/297.02 1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 1082.50/297.02 following reason: 1082.50/297.02 1082.50/297.02 The processor is inapplicable, reason: 1082.50/297.02 Processor only applicable for innermost runtime complexity analysis 1082.50/297.02 1082.50/297.02 2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 1082.50/297.02 to the following reason: 1082.50/297.02 1082.50/297.02 The processor is inapplicable, reason: 1082.50/297.02 Processor only applicable for innermost runtime complexity analysis 1082.50/297.02 1082.50/297.02 1082.50/297.02 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 1082.50/297.02 failed due to the following reason: 1082.50/297.02 1082.50/297.02 None of the processors succeeded. 1082.50/297.02 1082.50/297.02 Details of failed attempt(s): 1082.50/297.02 ----------------------------- 1082.50/297.02 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 1082.50/297.02 failed due to the following reason: 1082.50/297.02 1082.50/297.02 match-boundness of the problem could not be verified. 1082.50/297.02 1082.50/297.02 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 1082.50/297.02 failed due to the following reason: 1082.50/297.02 1082.50/297.02 match-boundness of the problem could not be verified. 1082.50/297.02 1082.50/297.02 1082.50/297.02 1082.50/297.02 3) 'Weak Dependency Pairs (timeout of 297 seconds)' failed due to 1082.50/297.02 the following reason: 1082.50/297.02 1082.50/297.02 We add the following weak dependency pairs: 1082.50/297.02 1082.50/297.02 Strict DPs: 1082.50/297.02 { rev^#(nil()) -> c_1() 1082.50/297.02 , rev^#(++(x, y)) -> c_2(rev1^#(x, y), rev2^#(x, y)) 1082.50/297.02 , rev1^#(x, nil()) -> c_3(x) 1082.50/297.02 , rev1^#(x, ++(y, z)) -> c_4(rev1^#(y, z)) 1082.50/297.02 , rev2^#(x, nil()) -> c_5() 1082.50/297.02 , rev2^#(x, ++(y, z)) -> c_6(rev^#(++(x, rev(rev2(y, z))))) } 1082.50/297.02 1082.50/297.02 and mark the set of starting terms. 1082.50/297.02 1082.50/297.02 We are left with following problem, upon which TcT provides the 1082.50/297.02 certificate MAYBE. 1082.50/297.02 1082.50/297.02 Strict DPs: 1082.50/297.02 { rev^#(nil()) -> c_1() 1082.50/297.02 , rev^#(++(x, y)) -> c_2(rev1^#(x, y), rev2^#(x, y)) 1082.50/297.02 , rev1^#(x, nil()) -> c_3(x) 1082.50/297.02 , rev1^#(x, ++(y, z)) -> c_4(rev1^#(y, z)) 1082.50/297.02 , rev2^#(x, nil()) -> c_5() 1082.50/297.02 , rev2^#(x, ++(y, z)) -> c_6(rev^#(++(x, rev(rev2(y, z))))) } 1082.50/297.02 Strict Trs: 1082.50/297.02 { rev(nil()) -> nil() 1082.50/297.02 , rev(++(x, y)) -> ++(rev1(x, y), rev2(x, y)) 1082.50/297.02 , rev1(x, nil()) -> x 1082.50/297.02 , rev1(x, ++(y, z)) -> rev1(y, z) 1082.50/297.02 , rev2(x, nil()) -> nil() 1082.50/297.02 , rev2(x, ++(y, z)) -> rev(++(x, rev(rev2(y, z)))) } 1082.50/297.02 Obligation: 1082.50/297.02 runtime complexity 1082.50/297.02 Answer: 1082.50/297.02 MAYBE 1082.50/297.02 1082.50/297.02 We estimate the number of application of {1,5} by applications of 1082.50/297.02 Pre({1,5}) = {2,3}. Here rules are labeled as follows: 1082.50/297.02 1082.50/297.02 DPs: 1082.50/297.02 { 1: rev^#(nil()) -> c_1() 1082.50/297.02 , 2: rev^#(++(x, y)) -> c_2(rev1^#(x, y), rev2^#(x, y)) 1082.50/297.02 , 3: rev1^#(x, nil()) -> c_3(x) 1082.50/297.02 , 4: rev1^#(x, ++(y, z)) -> c_4(rev1^#(y, z)) 1082.50/297.02 , 5: rev2^#(x, nil()) -> c_5() 1082.50/297.02 , 6: rev2^#(x, ++(y, z)) -> c_6(rev^#(++(x, rev(rev2(y, z))))) } 1082.50/297.02 1082.50/297.02 We are left with following problem, upon which TcT provides the 1082.50/297.02 certificate MAYBE. 1082.50/297.02 1082.50/297.02 Strict DPs: 1082.50/297.02 { rev^#(++(x, y)) -> c_2(rev1^#(x, y), rev2^#(x, y)) 1082.50/297.02 , rev1^#(x, nil()) -> c_3(x) 1082.50/297.02 , rev1^#(x, ++(y, z)) -> c_4(rev1^#(y, z)) 1082.50/297.02 , rev2^#(x, ++(y, z)) -> c_6(rev^#(++(x, rev(rev2(y, z))))) } 1082.50/297.02 Strict Trs: 1082.50/297.02 { rev(nil()) -> nil() 1082.50/297.02 , rev(++(x, y)) -> ++(rev1(x, y), rev2(x, y)) 1082.50/297.02 , rev1(x, nil()) -> x 1082.50/297.02 , rev1(x, ++(y, z)) -> rev1(y, z) 1082.50/297.02 , rev2(x, nil()) -> nil() 1082.50/297.02 , rev2(x, ++(y, z)) -> rev(++(x, rev(rev2(y, z)))) } 1082.50/297.02 Weak DPs: 1082.50/297.02 { rev^#(nil()) -> c_1() 1082.50/297.02 , rev2^#(x, nil()) -> c_5() } 1082.50/297.02 Obligation: 1082.50/297.02 runtime complexity 1082.50/297.02 Answer: 1082.50/297.02 MAYBE 1082.50/297.02 1082.50/297.02 Empty strict component of the problem is NOT empty. 1082.50/297.02 1082.50/297.02 1082.50/297.02 Arrrr.. 1083.04/297.53 EOF