/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: minus(n__0(),Y) -> 0() 2: minus(n__s(X),n__s(Y)) -> minus(activate(X),activate(Y)) 3: geq(X,n__0()) -> true() 4: geq(n__0(),n__s(Y)) -> false() 5: geq(n__s(X),n__s(Y)) -> geq(activate(X),activate(Y)) 6: div(0(),n__s(Y)) -> 0() 7: div(s(X),n__s(Y)) -> if(geq(X,activate(Y)),n__s(n__div(n__minus(X,activate(Y)),n__s(activate(Y)))),n__0()) 8: if(true(),X,Y) -> activate(X) 9: if(false(),X,Y) -> activate(Y) 10: 0() -> n__0() 11: s(X) -> n__s(X) 12: div(X1,X2) -> n__div(X1,X2) 13: minus(X1,X2) -> n__minus(X1,X2) 14: activate(n__0()) -> 0() 15: activate(n__s(X)) -> s(activate(X)) 16: activate(n__div(X1,X2)) -> div(activate(X1),X2) 17: activate(n__minus(X1,X2)) -> minus(X1,X2) 18: activate(X) -> X Number of strict rules: 18 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #minus(n__s(X),n__s(Y)) -> #minus(activate(X),activate(Y)) #2: #minus(n__s(X),n__s(Y)) -> #activate(X) #3: #minus(n__s(X),n__s(Y)) -> #activate(Y) #4: #if(false(),X,Y) -> #activate(Y) #5: #activate(n__0()) -> #0() #6: #div(s(X),n__s(Y)) -> #if(geq(X,activate(Y)),n__s(n__div(n__minus(X,activate(Y)),n__s(activate(Y)))),n__0()) #7: #div(s(X),n__s(Y)) -> #geq(X,activate(Y)) #8: #div(s(X),n__s(Y)) -> #activate(Y) #9: #div(s(X),n__s(Y)) -> #activate(Y) #10: #div(s(X),n__s(Y)) -> #activate(Y) #11: #geq(n__s(X),n__s(Y)) -> #geq(activate(X),activate(Y)) #12: #geq(n__s(X),n__s(Y)) -> #activate(X) #13: #geq(n__s(X),n__s(Y)) -> #activate(Y) #14: #activate(n__minus(X1,X2)) -> #minus(X1,X2) #15: #activate(n__div(X1,X2)) -> #div(activate(X1),X2) #16: #activate(n__div(X1,X2)) -> #activate(X1) #17: #minus(n__0(),Y) -> #0() #18: #if(true(),X,Y) -> #activate(X) #19: #activate(n__s(X)) -> #s(activate(X)) #20: #activate(n__s(X)) -> #activate(X) Number of SCCs: 1, DPs: 17 SCC { #1..4 #6..16 #18 #20 } POLO(Sum)... POLO(max)... succeeded. #0 w: 0 #div w: max(x1 + 4, x2 + 5) s w: x1 minus w: max(x1, x2 + 1) n__minus w: max(x1, x2 + 1) activate w: x1 #geq w: max(x1 + 3, x2 + 2) #activate w: x1 + 1 false w: 0 div w: max(x1 + 3, x2 + 4) geq w: 0 true w: 0 n__s w: x1 n__div w: max(x1 + 3, x2 + 4) 0 w: 1 if w: max(x2, x3 + 3) #s w: 0 n__0 w: 1 #minus w: max(x1 + 1, x2 + 2) #if w: max(x1 + 5, x2 + 1, x3 + 2) USABLE RULES: { 1..18 } Removed DPs: #3 #4 #7..10 #12 #13 #16 Number of SCCs: 2, DPs: 8 SCC { #11 } POLO(Sum)... succeeded. #0 w: 0 #div w: 0 s w: x1 + 1 minus w: x1 n__minus w: x1 activate w: x1 #geq w: x1 #activate w: 0 false w: 2 div w: x1 + 1 geq w: 1 true w: 2 n__s w: x1 + 1 n__div w: x1 + 1 0 w: 0 if w: x2 + x3 #s w: 0 n__0 w: 0 #minus w: 0 #if w: 0 USABLE RULES: { 1 2 6..18 } Removed DPs: #11 Number of SCCs: 1, DPs: 7 SCC { #1 #2 #6 #14 #15 #18 #20 } POLO(Sum)... succeeded. #0 w: 0 #div w: x1 + 2 s w: x1 + 2 minus w: x1 n__minus w: x1 activate w: x1 #geq w: x1 #activate w: x1 + 1 false w: 2 div w: x1 + 1 geq w: 1 true w: 2 n__s w: x1 + 2 n__div w: x1 + 1 0 w: 0 if w: x2 + x3 #s w: 0 n__0 w: 0 #minus w: x1 #if w: x2 + 1 USABLE RULES: { 1 2 6..18 } Removed DPs: #1 #2 #14 #20 Number of SCCs: 1, DPs: 3 SCC { #6 #15 #18 } POLO(Sum)... succeeded. #0 w: 0 #div w: x1 + x2 s w: 3 minus w: 3 n__minus w: 1 activate w: x1 + 2 #geq w: x1 #activate w: x1 + 1 false w: 3 div w: x1 + x2 + 2 geq w: x2 + 1 true w: 2 n__s w: 1 n__div w: x1 + x2 + 2 0 w: 0 if w: x2 + x3 + 2 #s w: 0 n__0 w: 0 #minus w: x1 #if w: x2 + 2 USABLE RULES: { 1 2 6..18 } Removed DPs: #6 #15 #18 Number of SCCs: 0, DPs: 0