/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/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: pred(s(x)) -> x 5: minus(x,0()) -> x 6: minus(x,s(y)) -> pred(minus(x,y)) 7: gcd(0(),y) -> y 8: gcd(s(x),0()) -> s(x) 9: gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y)) 10: if_gcd(true(),x,y) -> gcd(minus(x,y),y) 11: if_gcd(false(),x,y) -> gcd(minus(y,x),x) 12: rand(x) ->= x 13: rand(x) ->= rand(s(x)) Number of strict rules: 11 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #minus(x,s(y)) -> #pred(minus(x,y)) #2: #minus(x,s(y)) -> #minus(x,y) #3: #gcd(s(x),s(y)) -> #if_gcd(le(y,x),s(x),s(y)) #4: #gcd(s(x),s(y)) -> #le(y,x) #5: #if_gcd(false(),x,y) -> #gcd(minus(y,x),x) #6: #if_gcd(false(),x,y) -> #minus(y,x) #7: #if_gcd(true(),x,y) -> #gcd(minus(x,y),y) #8: #if_gcd(true(),x,y) -> #minus(x,y) #9: #le(s(x),s(y)) -> #le(x,y) Number of SCCs: 3, DPs: 5 SCC { #2 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. le s: [2,1] p: 3 w: max(x1 + 2, x2 + 2) s s: [1] p: 1 w: x1 #le s: [] p: 0 w: 0 minus s: 1 gcd s: [] p: 4 w: max(x1 + 2, x2 + 2) false s: [] p: 2 w: 1 true s: [] p: 3 w: 1 pred s: 1 rand s: [] p: 0 w: x1 + 1 0 s: [] p: 2 w: 0 #minus s: [2] p: 0 w: max(x2 + 1) #pred s: [] p: 0 w: 0 if_gcd s: [] p: 4 w: max(x1, x2 + 2, x3 + 2) #if_gcd s: [] p: 0 w: max(x2 + 1) #gcd s: [1,2] p: 0 w: max(x1 + 1, x2 + 1) Removed DPs: #2 Number of SCCs: 2, DPs: 4 SCC { #9 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. le s: [2,1] p: 3 w: max(x1 + 2, x2 + 2) s s: [1] p: 1 w: x1 #le s: [2] p: 2 w: max(x2) minus s: 1 gcd s: [] p: 4 w: max(x1 + 2, x2 + 2) false s: [] p: 2 w: 1 true s: [] p: 3 w: 1 pred s: 1 rand s: [] p: 0 w: x1 + 1 0 s: [] p: 2 w: 0 #minus s: [2] p: 0 w: max(x2 + 1) #pred s: [] p: 0 w: 0 if_gcd s: [] p: 4 w: max(x1, x2 + 2, x3 + 2) #if_gcd s: [] p: 0 w: max(x2 + 1) #gcd s: [1,2] p: 0 w: max(x1 + 1, x2 + 1) Removed DPs: #9 Number of SCCs: 1, DPs: 3 SCC { #3 #5 #7 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.