YES Input TRS: 1: not(true()) -> false() 2: not(false()) -> true() 3: evenodd(x,0()) -> not(evenodd(x,s(0()))) 4: evenodd(0(),s(0())) -> false() 5: evenodd(s(x),s(0())) -> evenodd(x,0()) Number of strict rules: 5 Direct POLO(bPol) ... removes: 4 s w: x1 false w: 2 true w: 2 0 w: 1 evenodd w: x1 + x2 + 4 not w: x1 Number of strict rules: 4 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #evenodd(s(x),s(0())) -> #evenodd(x,0()) #2: #evenodd(x,0()) -> #not(evenodd(x,s(0()))) #3: #evenodd(x,0()) -> #evenodd(x,s(0())) Number of SCCs: 1, DPs: 2 SCC { #1 #3 } POLO(Sum)... succeeded. s w: x1 + 1 #evenodd w: x1 false w: 0 true w: 0 #not w: 0 0 w: 28958 evenodd w: 0 not w: 0 USABLE RULES: { } Removed DPs: #1 Number of SCCs: 0, DPs: 0