/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE Input TRS: 1: le(0(),y) -> true() 2: le(s(x),0()) -> false() 3: le(s(x),s(y)) -> le(x,y) 4: inc(0()) -> 0() 5: inc(s(x)) -> s(inc(x)) 6: minus(0(),y) -> 0() 7: minus(x,0()) -> x 8: minus(s(x),s(y)) -> minus(x,y) 9: quot(0(),s(y)) -> 0() 10: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y))) 11: log(x) -> log2(x,0()) 12: log2(x,y) -> if(le(x,0()),le(x,s(0())),x,inc(y)) 13: if(true(),b,x,y) -> log_undefined() 14: if(false(),b,x,y) -> if2(b,x,y) 15: if2(true(),x,s(y)) -> y 16: if2(false(),x,y) -> log2(quot(x,s(s(0()))),y) Number of strict rules: 16 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #log(x) -> #log2(x,0()) #2: #log2(x,y) -> #if(le(x,0()),le(x,s(0())),x,inc(y)) #3: #log2(x,y) -> #le(x,0()) #4: #log2(x,y) -> #le(x,s(0())) #5: #log2(x,y) -> #inc(y) #6: #if(false(),b,x,y) -> #if2(b,x,y) #7: #quot(s(x),s(y)) -> #quot(minus(x,y),s(y)) #8: #quot(s(x),s(y)) -> #minus(x,y) #9: #inc(s(x)) -> #inc(x) #10: #if2(false(),x,y) -> #log2(quot(x,s(s(0()))),y) #11: #if2(false(),x,y) -> #quot(x,s(s(0()))) #12: #le(s(x),s(y)) -> #le(x,y) #13: #minus(s(x),s(y)) -> #minus(x,y) Number of SCCs: 5, DPs: 7 SCC { #9 } POLO(Sum)... succeeded. le w: 0 #log2 w: 0 s w: x1 + 1 #le w: 0 minus w: 0 false w: 0 #log w: 0 #inc w: x1 inc w: 0 true w: 0 if2 w: 0 log w: 0 0 w: 0 if w: 0 quot w: 0 log_undefined w: 0 #minus w: 0 #if w: 0 #quot w: 0 #if2 w: 0 log2 w: 0 USABLE RULES: { } Removed DPs: #9 Number of SCCs: 4, DPs: 6 SCC { #12 } POLO(Sum)... succeeded. le w: 0 #log2 w: 0 s w: x1 + 1 #le w: x2 minus w: 0 false w: 0 #log w: 0 #inc w: 0 inc w: 0 true w: 0 if2 w: 0 log w: 0 0 w: 0 if w: 0 quot w: 0 log_undefined w: 0 #minus w: 0 #if w: 0 #quot w: 0 #if2 w: 0 log2 w: 0 USABLE RULES: { } Removed DPs: #12 Number of SCCs: 3, DPs: 5 SCC { #13 } POLO(Sum)... succeeded. le w: 0 #log2 w: 0 s w: x1 + 1 #le w: 0 minus w: 0 false w: 0 #log w: 0 #inc w: 0 inc w: 0 true w: 0 if2 w: 0 log w: 0 0 w: 0 if w: 0 quot w: 0 log_undefined w: 0 #minus w: x2 #if w: 0 #quot w: 0 #if2 w: 0 log2 w: 0 USABLE RULES: { } Removed DPs: #13 Number of SCCs: 2, DPs: 4 SCC { #7 } POLO(Sum)... succeeded. le w: 0 #log2 w: 0 s w: x1 + 2 #le w: 0 minus w: x1 + 1 false w: 0 #log w: 0 #inc w: 0 inc w: 0 true w: 0 if2 w: 0 log w: 0 0 w: 1 if w: 0 quot w: 0 log_undefined w: 0 #minus w: 0 #if w: 0 #quot w: x1 #if2 w: 0 log2 w: 0 USABLE RULES: { 6..8 } Removed DPs: #7 Number of SCCs: 1, DPs: 3 SCC { #2 #6 #10 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.