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