MAYBE 1130.87/297.02 MAYBE 1130.87/297.02 1130.87/297.02 We are left with following problem, upon which TcT provides the 1130.87/297.02 certificate MAYBE. 1130.87/297.02 1130.87/297.02 Strict Trs: 1130.87/297.02 { exp(x, 0()) -> s(0()) 1130.87/297.02 , exp(x, s(y)) -> *(x, exp(x, y)) 1130.87/297.02 , *(0(), y) -> 0() 1130.87/297.02 , *(s(x), y) -> +(y, *(x, y)) 1130.87/297.02 , -(x, 0()) -> x 1130.87/297.02 , -(0(), y) -> 0() 1130.87/297.02 , -(s(x), s(y)) -> -(x, y) } 1130.87/297.02 Obligation: 1130.87/297.02 runtime complexity 1130.87/297.02 Answer: 1130.87/297.02 MAYBE 1130.87/297.02 1130.87/297.02 None of the processors succeeded. 1130.87/297.02 1130.87/297.02 Details of failed attempt(s): 1130.87/297.02 ----------------------------- 1130.87/297.02 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 1130.87/297.02 following reason: 1130.87/297.02 1130.87/297.02 Computation stopped due to timeout after 297.0 seconds. 1130.87/297.02 1130.87/297.02 2) 'Best' failed due to the following reason: 1130.87/297.02 1130.87/297.02 None of the processors succeeded. 1130.87/297.02 1130.87/297.02 Details of failed attempt(s): 1130.87/297.02 ----------------------------- 1130.87/297.02 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 1130.87/297.02 seconds)' failed due to the following reason: 1130.87/297.02 1130.87/297.02 None of the processors succeeded. 1130.87/297.02 1130.87/297.02 Details of failed attempt(s): 1130.87/297.02 ----------------------------- 1130.87/297.02 1) 'empty' failed due to the following reason: 1130.87/297.02 1130.87/297.02 Empty strict component of the problem is NOT empty. 1130.87/297.02 1130.87/297.02 2) 'With Problem ...' failed due to the following reason: 1130.87/297.02 1130.87/297.02 None of the processors succeeded. 1130.87/297.02 1130.87/297.02 Details of failed attempt(s): 1130.87/297.02 ----------------------------- 1130.87/297.02 1) 'empty' failed due to the following reason: 1130.87/297.02 1130.87/297.02 Empty strict component of the problem is NOT empty. 1130.87/297.02 1130.87/297.02 2) 'Fastest' failed due to the following reason: 1130.87/297.02 1130.87/297.02 None of the processors succeeded. 1130.87/297.02 1130.87/297.02 Details of failed attempt(s): 1130.87/297.02 ----------------------------- 1130.87/297.02 1) 'With Problem ...' failed due to the following reason: 1130.87/297.02 1130.87/297.02 None of the processors succeeded. 1130.87/297.02 1130.87/297.02 Details of failed attempt(s): 1130.87/297.02 ----------------------------- 1130.87/297.02 1) 'empty' failed due to the following reason: 1130.87/297.02 1130.87/297.02 Empty strict component of the problem is NOT empty. 1130.87/297.02 1130.87/297.02 2) 'With Problem ...' failed due to the following reason: 1130.87/297.02 1130.87/297.02 None of the processors succeeded. 1130.87/297.02 1130.87/297.02 Details of failed attempt(s): 1130.87/297.02 ----------------------------- 1130.87/297.02 1) 'empty' failed due to the following reason: 1130.87/297.02 1130.87/297.02 Empty strict component of the problem is NOT empty. 1130.87/297.02 1130.87/297.02 2) 'With Problem ...' failed due to the following reason: 1130.87/297.02 1130.87/297.02 None of the processors succeeded. 1130.87/297.02 1130.87/297.02 Details of failed attempt(s): 1130.87/297.02 ----------------------------- 1130.87/297.02 1) 'empty' failed due to the following reason: 1130.87/297.02 1130.87/297.02 Empty strict component of the problem is NOT empty. 1130.87/297.02 1130.87/297.02 2) 'With Problem ...' failed due to the following reason: 1130.87/297.02 1130.87/297.02 Empty strict component of the problem is NOT empty. 1130.87/297.02 1130.87/297.02 1130.87/297.02 1130.87/297.02 1130.87/297.02 2) 'With Problem ...' failed due to the following reason: 1130.87/297.02 1130.87/297.02 None of the processors succeeded. 1130.87/297.02 1130.87/297.02 Details of failed attempt(s): 1130.87/297.02 ----------------------------- 1130.87/297.02 1) 'empty' failed due to the following reason: 1130.87/297.02 1130.87/297.02 Empty strict component of the problem is NOT empty. 1130.87/297.02 1130.87/297.02 2) 'With Problem ...' failed due to the following reason: 1130.87/297.02 1130.87/297.02 Empty strict component of the problem is NOT empty. 1130.87/297.02 1130.87/297.02 1130.87/297.02 1130.87/297.02 1130.87/297.02 1130.87/297.02 2) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 1130.87/297.02 failed due to the following reason: 1130.87/297.02 1130.87/297.02 None of the processors succeeded. 1130.87/297.02 1130.87/297.02 Details of failed attempt(s): 1130.87/297.02 ----------------------------- 1130.87/297.02 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 1130.87/297.02 failed due to the following reason: 1130.87/297.02 1130.87/297.02 match-boundness of the problem could not be verified. 1130.87/297.02 1130.87/297.02 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 1130.87/297.02 failed due to the following reason: 1130.87/297.02 1130.87/297.02 match-boundness of the problem could not be verified. 1130.87/297.02 1130.87/297.02 1130.87/297.02 3) 'Best' failed due to the following reason: 1130.87/297.02 1130.87/297.02 None of the processors succeeded. 1130.87/297.02 1130.87/297.02 Details of failed attempt(s): 1130.87/297.02 ----------------------------- 1130.87/297.02 1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 1130.87/297.02 following reason: 1130.87/297.02 1130.87/297.02 The processor is inapplicable, reason: 1130.87/297.02 Processor only applicable for innermost runtime complexity analysis 1130.87/297.02 1130.87/297.02 2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 1130.87/297.02 to the following reason: 1130.87/297.02 1130.87/297.02 The processor is inapplicable, reason: 1130.87/297.02 Processor only applicable for innermost runtime complexity analysis 1130.87/297.02 1130.87/297.02 1130.87/297.02 1130.87/297.02 3) 'Weak Dependency Pairs (timeout of 297 seconds)' failed due to 1130.87/297.02 the following reason: 1130.87/297.02 1130.87/297.02 We add the following weak dependency pairs: 1130.87/297.02 1130.87/297.02 Strict DPs: 1130.87/297.02 { exp^#(x, 0()) -> c_1() 1130.87/297.02 , exp^#(x, s(y)) -> c_2(*^#(x, exp(x, y))) 1130.87/297.02 , *^#(0(), y) -> c_3() 1130.87/297.02 , *^#(s(x), y) -> c_4(y, *^#(x, y)) 1130.87/297.02 , -^#(x, 0()) -> c_5(x) 1130.87/297.02 , -^#(0(), y) -> c_6() 1130.87/297.02 , -^#(s(x), s(y)) -> c_7(-^#(x, y)) } 1130.87/297.02 1130.87/297.02 and mark the set of starting terms. 1130.87/297.02 1130.87/297.02 We are left with following problem, upon which TcT provides the 1130.87/297.02 certificate MAYBE. 1130.87/297.02 1130.87/297.02 Strict DPs: 1130.87/297.02 { exp^#(x, 0()) -> c_1() 1130.87/297.02 , exp^#(x, s(y)) -> c_2(*^#(x, exp(x, y))) 1130.87/297.02 , *^#(0(), y) -> c_3() 1130.87/297.02 , *^#(s(x), y) -> c_4(y, *^#(x, y)) 1130.87/297.02 , -^#(x, 0()) -> c_5(x) 1130.87/297.02 , -^#(0(), y) -> c_6() 1130.87/297.02 , -^#(s(x), s(y)) -> c_7(-^#(x, y)) } 1130.87/297.02 Strict Trs: 1130.87/297.02 { exp(x, 0()) -> s(0()) 1130.87/297.02 , exp(x, s(y)) -> *(x, exp(x, y)) 1130.87/297.02 , *(0(), y) -> 0() 1130.87/297.02 , *(s(x), y) -> +(y, *(x, y)) 1130.87/297.02 , -(x, 0()) -> x 1130.87/297.02 , -(0(), y) -> 0() 1130.87/297.02 , -(s(x), s(y)) -> -(x, y) } 1130.87/297.02 Obligation: 1130.87/297.02 runtime complexity 1130.87/297.02 Answer: 1130.87/297.02 MAYBE 1130.87/297.02 1130.87/297.02 We estimate the number of application of {1,3,6} by applications of 1130.87/297.02 Pre({1,3,6}) = {2,4,5,7}. Here rules are labeled as follows: 1130.87/297.02 1130.87/297.02 DPs: 1130.87/297.02 { 1: exp^#(x, 0()) -> c_1() 1130.87/297.02 , 2: exp^#(x, s(y)) -> c_2(*^#(x, exp(x, y))) 1130.87/297.02 , 3: *^#(0(), y) -> c_3() 1130.87/297.02 , 4: *^#(s(x), y) -> c_4(y, *^#(x, y)) 1130.87/297.02 , 5: -^#(x, 0()) -> c_5(x) 1130.87/297.02 , 6: -^#(0(), y) -> c_6() 1130.87/297.02 , 7: -^#(s(x), s(y)) -> c_7(-^#(x, y)) } 1130.87/297.02 1130.87/297.02 We are left with following problem, upon which TcT provides the 1130.87/297.02 certificate MAYBE. 1130.87/297.02 1130.87/297.02 Strict DPs: 1130.87/297.02 { exp^#(x, s(y)) -> c_2(*^#(x, exp(x, y))) 1130.87/297.02 , *^#(s(x), y) -> c_4(y, *^#(x, y)) 1130.87/297.02 , -^#(x, 0()) -> c_5(x) 1130.87/297.02 , -^#(s(x), s(y)) -> c_7(-^#(x, y)) } 1130.87/297.02 Strict Trs: 1130.87/297.02 { exp(x, 0()) -> s(0()) 1130.87/297.02 , exp(x, s(y)) -> *(x, exp(x, y)) 1130.87/297.02 , *(0(), y) -> 0() 1130.87/297.02 , *(s(x), y) -> +(y, *(x, y)) 1130.87/297.02 , -(x, 0()) -> x 1130.87/297.02 , -(0(), y) -> 0() 1130.87/297.02 , -(s(x), s(y)) -> -(x, y) } 1130.87/297.02 Weak DPs: 1130.87/297.02 { exp^#(x, 0()) -> c_1() 1130.87/297.02 , *^#(0(), y) -> c_3() 1130.87/297.02 , -^#(0(), y) -> c_6() } 1130.87/297.02 Obligation: 1130.87/297.02 runtime complexity 1130.87/297.02 Answer: 1130.87/297.02 MAYBE 1130.87/297.02 1130.87/297.02 Empty strict component of the problem is NOT empty. 1130.87/297.02 1130.87/297.02 1130.87/297.02 Arrrr.. 1131.31/297.42 EOF