/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE Input TRS: 1: div(x,y) -> div2(x,y,0()) 2: div2(x,y,i) -> if1(le(y,0()),le(y,x),x,y,plus(i,0()),inc(i)) 3: if1(true(),b,x,y,i,j) -> divZeroError() 4: if1(false(),b,x,y,i,j) -> if2(b,x,y,i,j) 5: if2(true(),x,y,i,j) -> div2(minus(x,y),y,j) 6: if2(false(),x,y,i,j) -> i 7: inc(0()) -> 0() 8: inc(s(i)) -> s(inc(i)) 9: le(s(x),0()) -> false() 10: le(0(),y) -> true() 11: le(s(x),s(y)) -> le(x,y) 12: minus(x,0()) -> x 13: minus(0(),y) -> 0() 14: minus(s(x),s(y)) -> minus(x,y) 15: plus(x,y) -> plusIter(x,y,0()) 16: plusIter(x,y,z) -> ifPlus(le(x,z),x,y,z) 17: ifPlus(true(),x,y,z) -> y 18: ifPlus(false(),x,y,z) -> plusIter(x,s(y),s(z)) 19: a() -> c() 20: a() -> d() Number of strict rules: 20 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #div2(x,y,i) -> #if1(le(y,0()),le(y,x),x,y,plus(i,0()),inc(i)) #2: #div2(x,y,i) -> #le(y,0()) #3: #div2(x,y,i) -> #le(y,x) #4: #div2(x,y,i) -> #plus(i,0()) #5: #div2(x,y,i) -> #inc(i) #6: #le(s(x),s(y)) -> #le(x,y) #7: #minus(s(x),s(y)) -> #minus(x,y) #8: #if2(true(),x,y,i,j) -> #div2(minus(x,y),y,j) #9: #if2(true(),x,y,i,j) -> #minus(x,y) #10: #plusIter(x,y,z) -> #ifPlus(le(x,z),x,y,z) #11: #plusIter(x,y,z) -> #le(x,z) #12: #div(x,y) -> #div2(x,y,0()) #13: #inc(s(i)) -> #inc(i) #14: #plus(x,y) -> #plusIter(x,y,0()) #15: #if1(false(),b,x,y,i,j) -> #if2(b,x,y,i,j) #16: #ifPlus(false(),x,y,z) -> #plusIter(x,s(y),s(z)) Number of SCCs: 5, DPs: 8 SCC { #13 } POLO(Sum)... succeeded. a w: 0 le w: 0 plusIter w: 0 #div w: 0 d w: 0 s w: x1 + 1 #le w: 0 minus w: 0 #plus w: 0 if1 w: 0 false w: 0 div w: 0 #inc w: x1 c w: 0 inc w: 0 true w: 0 #if1 w: 0 if2 w: 0 0 w: 0 div2 w: 0 divZeroError w: 0 #div2 w: 0 #minus w: 0 ifPlus w: 0 plus w: 0 #a w: 0 #ifPlus w: 0 #if2 w: 0 #plusIter w: 0 USABLE RULES: { } Removed DPs: #13 Number of SCCs: 4, DPs: 7 SCC { #6 } POLO(Sum)... succeeded. a w: 0 le w: 0 plusIter w: 0 #div w: 0 d w: 0 s w: x1 + 1 #le w: x2 minus w: 0 #plus w: 0 if1 w: 0 false w: 0 div w: 0 #inc w: 0 c w: 0 inc w: 0 true w: 0 #if1 w: 0 if2 w: 0 0 w: 0 div2 w: 0 divZeroError w: 0 #div2 w: 0 #minus w: 0 ifPlus w: 0 plus w: 0 #a w: 0 #ifPlus w: 0 #if2 w: 0 #plusIter w: 0 USABLE RULES: { } Removed DPs: #6 Number of SCCs: 3, DPs: 6 SCC { #7 } POLO(Sum)... succeeded. a w: 0 le w: 0 plusIter w: 0 #div w: 0 d w: 0 s w: x1 + 1 #le w: 0 minus w: 0 #plus w: 0 if1 w: 0 false w: 0 div w: 0 #inc w: 0 c w: 0 inc w: 0 true w: 0 #if1 w: 0 if2 w: 0 0 w: 0 div2 w: 0 divZeroError w: 0 #div2 w: 0 #minus w: x2 ifPlus w: 0 plus w: 0 #a w: 0 #ifPlus w: 0 #if2 w: 0 #plusIter w: 0 USABLE RULES: { } Removed DPs: #7 Number of SCCs: 2, DPs: 5 SCC { #10 #16 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.