/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: and(tt(),X) -> activate(X) 2: plus(N,0()) -> N 3: plus(N,s(M)) -> s(plus(N,M)) 4: x(N,0()) -> 0() 5: x(N,s(M)) -> plus(x(N,M),N) 6: activate(X) -> X Number of strict rules: 6 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #x(N,s(M)) -> #plus(x(N,M),N) #2: #x(N,s(M)) -> #x(N,M) #3: #plus(N,s(M)) -> #plus(N,M) #4: #and(tt(),X) -> #activate(X) Number of SCCs: 2, DPs: 2 SCC { #2 } Sum... succeeded. s(x1) w: (1 + x1) activate(x1) w: (0) and(x1,x2) w: (0) #plus(x1,x2) w: (0) #activate(x1) w: (0) x(x1,x2) w: (0) 0() w: (0) #x(x1,x2) w: (x2) plus(x1,x2) w: (0) tt() w: (0) #and(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #2 Number of SCCs: 1, DPs: 1 SCC { #3 } Sum... succeeded. s(x1) w: (1 + x1) activate(x1) w: (0) and(x1,x2) w: (0) #plus(x1,x2) w: (x2) #activate(x1) w: (0) x(x1,x2) w: (0) 0() w: (0) #x(x1,x2) w: (0) plus(x1,x2) w: (0) tt() w: (0) #and(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #3 Number of SCCs: 0, DPs: 0