MAYBE 572.57/238.95 MAYBE 572.57/238.95 572.57/238.95 We are left with following problem, upon which TcT provides the 572.57/238.95 certificate MAYBE. 572.57/238.95 572.57/238.95 Strict Trs: 572.57/238.95 { O(0()) -> 0() 572.57/238.95 , +(x, 0()) -> x 572.57/238.95 , +(O(x), O(y)) -> O(+(x, y)) 572.57/238.95 , +(O(x), I(y)) -> I(+(x, y)) 572.57/238.95 , +(0(), x) -> x 572.57/238.95 , +(I(x), O(y)) -> I(+(x, y)) 572.57/238.95 , +(I(x), I(y)) -> O(+(+(x, y), I(0()))) 572.57/238.95 , *(x, 0()) -> 0() 572.57/238.95 , *(O(x), y) -> O(*(x, y)) 572.57/238.95 , *(0(), x) -> 0() 572.57/238.95 , *(I(x), y) -> +(O(*(x, y)), y) } 572.57/238.95 Obligation: 572.57/238.95 runtime complexity 572.57/238.95 Answer: 572.57/238.95 MAYBE 572.57/238.95 572.57/238.95 None of the processors succeeded. 572.57/238.95 572.57/238.95 Details of failed attempt(s): 572.57/238.95 ----------------------------- 572.57/238.95 1) 'Best' failed due to the following reason: 572.57/238.95 572.57/238.95 None of the processors succeeded. 572.57/238.95 572.57/238.95 Details of failed attempt(s): 572.57/238.95 ----------------------------- 572.57/238.95 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 572.57/238.95 seconds)' failed due to the following reason: 572.57/238.95 572.57/238.95 Computation stopped due to timeout after 148.0 seconds. 572.57/238.95 572.57/238.95 2) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 572.57/238.95 failed due to the following reason: 572.57/238.95 572.57/238.95 None of the processors succeeded. 572.57/238.95 572.57/238.95 Details of failed attempt(s): 572.57/238.95 ----------------------------- 572.57/238.95 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 572.57/238.95 failed due to the following reason: 572.57/238.95 572.57/238.95 match-boundness of the problem could not be verified. 572.57/238.95 572.57/238.95 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 572.57/238.95 failed due to the following reason: 572.57/238.95 572.57/238.95 match-boundness of the problem could not be verified. 572.57/238.95 572.57/238.95 572.57/238.95 3) 'Best' failed due to the following reason: 572.57/238.95 572.57/238.95 None of the processors succeeded. 572.57/238.95 572.57/238.95 Details of failed attempt(s): 572.57/238.95 ----------------------------- 572.57/238.95 1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 572.57/238.95 following reason: 572.57/238.95 572.57/238.95 The processor is inapplicable, reason: 572.57/238.95 Processor only applicable for innermost runtime complexity analysis 572.57/238.95 572.57/238.95 2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 572.57/238.95 to the following reason: 572.57/238.95 572.57/238.95 The processor is inapplicable, reason: 572.57/238.95 Processor only applicable for innermost runtime complexity analysis 572.57/238.95 572.57/238.95 572.57/238.95 572.57/238.95 2) 'Weak Dependency Pairs (timeout of 297 seconds)' failed due to 572.57/238.95 the following reason: 572.57/238.95 572.57/238.95 We add the following weak dependency pairs: 572.57/238.95 572.57/238.95 Strict DPs: 572.57/238.95 { O^#(0()) -> c_1() 572.57/238.95 , +^#(x, 0()) -> c_2(x) 572.57/238.95 , +^#(O(x), O(y)) -> c_3(O^#(+(x, y))) 572.57/238.95 , +^#(O(x), I(y)) -> c_4(+^#(x, y)) 572.57/238.95 , +^#(0(), x) -> c_5(x) 572.57/238.95 , +^#(I(x), O(y)) -> c_6(+^#(x, y)) 572.57/238.95 , +^#(I(x), I(y)) -> c_7(O^#(+(+(x, y), I(0())))) 572.57/238.95 , *^#(x, 0()) -> c_8() 572.57/238.95 , *^#(O(x), y) -> c_9(O^#(*(x, y))) 572.57/238.95 , *^#(0(), x) -> c_10() 572.57/238.95 , *^#(I(x), y) -> c_11(+^#(O(*(x, y)), y)) } 572.57/238.95 572.57/238.95 and mark the set of starting terms. 572.57/238.95 572.57/238.95 We are left with following problem, upon which TcT provides the 572.57/238.95 certificate MAYBE. 572.57/238.95 572.57/238.95 Strict DPs: 572.57/238.95 { O^#(0()) -> c_1() 572.57/238.95 , +^#(x, 0()) -> c_2(x) 572.57/238.95 , +^#(O(x), O(y)) -> c_3(O^#(+(x, y))) 572.57/238.95 , +^#(O(x), I(y)) -> c_4(+^#(x, y)) 572.57/238.95 , +^#(0(), x) -> c_5(x) 572.57/238.95 , +^#(I(x), O(y)) -> c_6(+^#(x, y)) 572.57/238.95 , +^#(I(x), I(y)) -> c_7(O^#(+(+(x, y), I(0())))) 572.57/238.95 , *^#(x, 0()) -> c_8() 572.57/238.95 , *^#(O(x), y) -> c_9(O^#(*(x, y))) 572.57/238.95 , *^#(0(), x) -> c_10() 572.57/238.95 , *^#(I(x), y) -> c_11(+^#(O(*(x, y)), y)) } 572.57/238.95 Strict Trs: 572.57/238.95 { O(0()) -> 0() 572.57/238.95 , +(x, 0()) -> x 572.57/238.95 , +(O(x), O(y)) -> O(+(x, y)) 572.57/238.95 , +(O(x), I(y)) -> I(+(x, y)) 572.57/238.95 , +(0(), x) -> x 572.57/238.95 , +(I(x), O(y)) -> I(+(x, y)) 572.57/238.95 , +(I(x), I(y)) -> O(+(+(x, y), I(0()))) 572.57/238.95 , *(x, 0()) -> 0() 572.57/238.95 , *(O(x), y) -> O(*(x, y)) 572.57/238.95 , *(0(), x) -> 0() 572.57/238.95 , *(I(x), y) -> +(O(*(x, y)), y) } 572.57/238.95 Obligation: 572.57/238.95 runtime complexity 572.57/238.95 Answer: 572.57/238.95 MAYBE 572.57/238.95 572.57/238.95 We estimate the number of application of {1,8,10} by applications 572.57/238.95 of Pre({1,8,10}) = {2,3,5,7,9}. Here rules are labeled as follows: 572.57/238.95 572.57/238.95 DPs: 572.57/238.95 { 1: O^#(0()) -> c_1() 572.57/238.95 , 2: +^#(x, 0()) -> c_2(x) 572.57/238.95 , 3: +^#(O(x), O(y)) -> c_3(O^#(+(x, y))) 572.57/238.95 , 4: +^#(O(x), I(y)) -> c_4(+^#(x, y)) 572.57/238.95 , 5: +^#(0(), x) -> c_5(x) 572.57/238.95 , 6: +^#(I(x), O(y)) -> c_6(+^#(x, y)) 572.57/238.95 , 7: +^#(I(x), I(y)) -> c_7(O^#(+(+(x, y), I(0())))) 572.57/238.95 , 8: *^#(x, 0()) -> c_8() 572.57/238.95 , 9: *^#(O(x), y) -> c_9(O^#(*(x, y))) 572.57/238.95 , 10: *^#(0(), x) -> c_10() 572.57/238.95 , 11: *^#(I(x), y) -> c_11(+^#(O(*(x, y)), y)) } 572.57/238.95 572.57/238.95 We are left with following problem, upon which TcT provides the 572.57/238.95 certificate MAYBE. 572.57/238.95 572.57/238.95 Strict DPs: 572.57/238.95 { +^#(x, 0()) -> c_2(x) 572.57/238.95 , +^#(O(x), O(y)) -> c_3(O^#(+(x, y))) 572.57/238.95 , +^#(O(x), I(y)) -> c_4(+^#(x, y)) 572.57/238.95 , +^#(0(), x) -> c_5(x) 572.57/238.95 , +^#(I(x), O(y)) -> c_6(+^#(x, y)) 572.57/238.95 , +^#(I(x), I(y)) -> c_7(O^#(+(+(x, y), I(0())))) 572.57/238.95 , *^#(O(x), y) -> c_9(O^#(*(x, y))) 572.57/238.95 , *^#(I(x), y) -> c_11(+^#(O(*(x, y)), y)) } 572.57/238.95 Strict Trs: 572.57/238.95 { O(0()) -> 0() 572.57/238.95 , +(x, 0()) -> x 572.57/238.95 , +(O(x), O(y)) -> O(+(x, y)) 572.57/238.95 , +(O(x), I(y)) -> I(+(x, y)) 572.57/238.95 , +(0(), x) -> x 572.57/238.95 , +(I(x), O(y)) -> I(+(x, y)) 572.57/238.95 , +(I(x), I(y)) -> O(+(+(x, y), I(0()))) 572.57/238.95 , *(x, 0()) -> 0() 572.57/238.95 , *(O(x), y) -> O(*(x, y)) 572.57/238.95 , *(0(), x) -> 0() 572.57/238.95 , *(I(x), y) -> +(O(*(x, y)), y) } 572.57/238.95 Weak DPs: 572.57/238.95 { O^#(0()) -> c_1() 572.57/238.95 , *^#(x, 0()) -> c_8() 572.57/238.95 , *^#(0(), x) -> c_10() } 572.57/238.95 Obligation: 572.57/238.95 runtime complexity 572.57/238.95 Answer: 572.57/238.95 MAYBE 572.57/238.95 572.57/238.95 We estimate the number of application of {2,6,7} by applications of 572.57/238.95 Pre({2,6,7}) = {1,3,4,5,8}. Here rules are labeled as follows: 572.57/238.95 572.57/238.95 DPs: 572.57/238.95 { 1: +^#(x, 0()) -> c_2(x) 572.57/238.95 , 2: +^#(O(x), O(y)) -> c_3(O^#(+(x, y))) 572.57/238.95 , 3: +^#(O(x), I(y)) -> c_4(+^#(x, y)) 572.57/238.95 , 4: +^#(0(), x) -> c_5(x) 572.57/238.95 , 5: +^#(I(x), O(y)) -> c_6(+^#(x, y)) 572.57/238.95 , 6: +^#(I(x), I(y)) -> c_7(O^#(+(+(x, y), I(0())))) 572.57/238.95 , 7: *^#(O(x), y) -> c_9(O^#(*(x, y))) 572.57/238.95 , 8: *^#(I(x), y) -> c_11(+^#(O(*(x, y)), y)) 572.57/238.95 , 9: O^#(0()) -> c_1() 572.57/238.95 , 10: *^#(x, 0()) -> c_8() 572.57/238.95 , 11: *^#(0(), x) -> c_10() } 572.57/238.95 572.57/238.95 We are left with following problem, upon which TcT provides the 572.57/238.95 certificate MAYBE. 572.57/238.95 572.57/238.95 Strict DPs: 572.57/238.95 { +^#(x, 0()) -> c_2(x) 572.57/238.95 , +^#(O(x), I(y)) -> c_4(+^#(x, y)) 572.57/238.95 , +^#(0(), x) -> c_5(x) 572.57/238.95 , +^#(I(x), O(y)) -> c_6(+^#(x, y)) 572.57/238.95 , *^#(I(x), y) -> c_11(+^#(O(*(x, y)), y)) } 572.57/238.95 Strict Trs: 572.57/238.95 { O(0()) -> 0() 572.57/238.95 , +(x, 0()) -> x 572.57/238.95 , +(O(x), O(y)) -> O(+(x, y)) 572.57/238.95 , +(O(x), I(y)) -> I(+(x, y)) 572.57/238.95 , +(0(), x) -> x 572.57/238.95 , +(I(x), O(y)) -> I(+(x, y)) 572.57/238.95 , +(I(x), I(y)) -> O(+(+(x, y), I(0()))) 572.57/238.95 , *(x, 0()) -> 0() 572.57/238.95 , *(O(x), y) -> O(*(x, y)) 572.57/238.95 , *(0(), x) -> 0() 572.57/238.95 , *(I(x), y) -> +(O(*(x, y)), y) } 572.57/238.95 Weak DPs: 572.57/238.95 { O^#(0()) -> c_1() 572.57/238.95 , +^#(O(x), O(y)) -> c_3(O^#(+(x, y))) 572.57/238.95 , +^#(I(x), I(y)) -> c_7(O^#(+(+(x, y), I(0())))) 572.57/238.95 , *^#(x, 0()) -> c_8() 572.57/238.95 , *^#(O(x), y) -> c_9(O^#(*(x, y))) 572.57/238.95 , *^#(0(), x) -> c_10() } 572.57/238.95 Obligation: 572.57/238.95 runtime complexity 572.57/238.95 Answer: 572.57/238.95 MAYBE 572.57/238.95 572.57/238.95 Empty strict component of the problem is NOT empty. 572.57/238.95 572.57/238.95 572.57/238.95 Arrrr.. 572.89/239.29 EOF