/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: cond(true(),x) -> cond(and(even(x),gr(x,0())),p(x)) 2: and(x,false()) -> false() 3: and(false(),x) -> false() 4: and(true(),true()) -> true() 5: even(0()) -> true() 6: even(s(0())) -> false() 7: even(s(s(x))) -> even(x) 8: gr(0(),x) -> false() 9: gr(s(x),0()) -> true() 10: gr(s(x),s(y())) -> gr(x,y()) 11: p(0()) -> 0() 12: p(s(x)) -> x Number of strict rules: 12 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #even(s(s(x))) -> #even(x) #2: #gr(s(x),s(y())) -> #gr(x,y()) #3: #cond(true(),x) -> #cond(and(even(x),gr(x,0())),p(x)) #4: #cond(true(),x) -> #and(even(x),gr(x,0())) #5: #cond(true(),x) -> #even(x) #6: #cond(true(),x) -> #gr(x,0()) #7: #cond(true(),x) -> #p(x) Number of SCCs: 2, DPs: 2 SCC { #1 } Sum... succeeded. s(x1) w: (1 + x1) y() w: (0) and(x1,x2) w: (0) even(x1) w: (0) false() w: (0) #p(x1) w: (0) true() w: (0) #even(x1) w: (x1) p(x1) w: (0) #cond(x1,x2) w: (0) 0() w: (0) #gr(x1,x2) w: (0) gr(x1,x2) w: (0) #and(x1,x2) w: (0) cond(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #1 Number of SCCs: 1, DPs: 1 SCC { #3 } Sum... Max... QLPOpS... NegMaxSum... succeeded. s(x1) w: (max{0, 125802 + x1}) y() w: (0) and(x1,x2) w: (max{0, 62900 + x2}) even(x1) w: (max{0, -125801 + x1}) false() w: (0) #p(x1) w: (0) true() w: (62901) #even(x1) w: (0) p(x1) w: (max{0, -1 + x1}) #cond(x1,x2) w: (max{0, -22248 + x2, -22249 + x1}) 0() w: (0) #gr(x1,x2) w: (0) gr(x1,x2) w: (max{0, -62901 + x1}) #and(x1,x2) w: (0) cond(x1,x2) w: (0) USABLE RULES: { 2..4 6 8 9 11 12 } Removed DPs: #3 Number of SCCs: 0, DPs: 0