/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE Input TRS: 1: add(true(),x,xs) -> add(and(isNat(x),isList(xs)),x,Cons(tt(),xs)) 2: isList(Cons(x,xs)) -> isList(xs) 3: isList(nil()) -> true() 4: isNat(s(x)) -> isNat(x) 5: isNat(0()) -> true() 6: and(true(),true()) -> true() 7: and(false(),x) -> false() 8: and(x,false()) -> false() Number of strict rules: 8 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #isList(Cons(x,xs)) -> #isList(xs) #2: #add(true(),x,xs) -> #add(and(isNat(x),isList(xs)),x,Cons(tt(),xs)) #3: #add(true(),x,xs) -> #and(isNat(x),isList(xs)) #4: #add(true(),x,xs) -> #isNat(x) #5: #add(true(),x,xs) -> #isList(xs) #6: #isNat(s(x)) -> #isNat(x) Number of SCCs: 3, DPs: 3 SCC { #6 } POLO(Sum)... succeeded. s w: x1 + 1 #isNat w: x1 and w: 0 false w: 0 true w: 0 isList w: 0 0 w: 0 nil w: 0 #isList w: 0 isNat w: 0 tt w: 0 #add w: 0 add w: 0 #and w: 0 Cons w: 0 USABLE RULES: { } Removed DPs: #6 Number of SCCs: 2, DPs: 2 SCC { #1 } POLO(Sum)... succeeded. s w: 1 #isNat w: 0 and w: 0 false w: 0 true w: 0 isList w: 0 0 w: 0 nil w: 0 #isList w: x1 isNat w: 0 tt w: 0 #add w: 0 add w: 0 #and w: 0 Cons w: x2 + 1 USABLE RULES: { } Removed DPs: #1 Number of SCCs: 1, DPs: 1 SCC { #2 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.