/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: cond1(true(),x,y,z) -> cond2(gr(y,z),x,y,z) 2: cond2(true(),x,y,z) -> cond2(gr(y,z),x,p(y),z) 3: cond2(false(),x,y,z) -> cond1(gr(x,z),p(x),y,z) 4: gr(0(),x) -> false() 5: gr(s(x),0()) -> true() 6: gr(s(x),s(y)) -> gr(x,y) 7: p(0()) -> 0() 8: p(s(x)) -> x Number of strict rules: 8 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #cond2(true(),x,y,z) -> #cond2(gr(y,z),x,p(y),z) #2: #cond2(true(),x,y,z) -> #gr(y,z) #3: #cond2(true(),x,y,z) -> #p(y) #4: #gr(s(x),s(y)) -> #gr(x,y) #5: #cond2(false(),x,y,z) -> #cond1(gr(x,z),p(x),y,z) #6: #cond2(false(),x,y,z) -> #gr(x,z) #7: #cond2(false(),x,y,z) -> #p(x) #8: #cond1(true(),x,y,z) -> #cond2(gr(y,z),x,y,z) #9: #cond1(true(),x,y,z) -> #gr(y,z) Number of SCCs: 2, DPs: 4 SCC { #4 } Sum... succeeded. cond2(x1,x2,x3,x4) w: (0) s(x1) w: (1 + x1) #cond1(x1,x2,x3,x4) w: (0) false() w: (0) #p(x1) w: (0) true() w: (0) cond1(x1,x2,x3,x4) w: (0) p(x1) w: (0) 0() w: (0) #gr(x1,x2) w: (x2 + x1) #cond2(x1,x2,x3,x4) w: (0) gr(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #4 Number of SCCs: 1, DPs: 3 SCC { #1 #5 #8 } Sum... Max... QLPOpS... NegMaxSum... succeeded. cond2(x1,x2,x3,x4) w: (0) s(x1) w: (max{0, 3 + x1}) #cond1(x1,x2,x3,x4) w: (max{0, x2, -1 + x1}) false() w: (0) #p(x1) w: (0) true() w: (2) cond1(x1,x2,x3,x4) w: (0) p(x1) w: (max{0, -3 + x1}) 0() w: (0) #gr(x1,x2) w: (0) #cond2(x1,x2,x3,x4) w: (max{0, -2 + x2}) gr(x1,x2) w: (max{0, -1 + x1}) USABLE RULES: { 4..8 } Removed DPs: #8 Number of SCCs: 1, DPs: 1 SCC { #1 } Sum... Max... QLPOpS... NegMaxSum... succeeded. cond2(x1,x2,x3,x4) w: (0) s(x1) w: (max{0, 20542 + x1}) #cond1(x1,x2,x3,x4) w: (max{0, x2, x1}) false() w: (0) #p(x1) w: (0) true() w: (20541) cond1(x1,x2,x3,x4) w: (0) p(x1) w: (max{0, -20538 + x1}) 0() w: (0) #gr(x1,x2) w: (0) #cond2(x1,x2,x3,x4) w: (max{0, 20539 + x3, -1 + x1}) gr(x1,x2) w: (max{0, -1 + x1}) USABLE RULES: { 4..8 } Removed DPs: #1 Number of SCCs: 0, DPs: 0