/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: exp(x,0()) -> s(0()) 2: exp(x,s(y)) -> *(x,exp(x,y)) 3: *(0(),y) -> 0() 4: *(s(x),y) -> +(y,*(x,y)) 5: -(0(),y) -> 0() 6: -(x,0()) -> x 7: -(s(x),s(y)) -> -(x,y) Number of strict rules: 7 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #exp(x,s(y)) -> #*(x,exp(x,y)) #2: #exp(x,s(y)) -> #exp(x,y) #3: #-(s(x),s(y)) -> #-(x,y) #4: #*(s(x),y) -> #*(x,y) Number of SCCs: 3, DPs: 3 SCC { #2 } Sum... succeeded. s(x1) w: (1 + x1) #*(x1,x2) w: (0) #exp(x1,x2) w: (x2) 0() w: (0) -(x1,x2) w: (0) #-(x1,x2) w: (0) exp(x1,x2) w: (0) +(x1,x2) w: (0) *(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #2 Number of SCCs: 2, DPs: 2 SCC { #4 } Sum... succeeded. s(x1) w: (1 + x1) #*(x1,x2) w: (x1) #exp(x1,x2) w: (0) 0() w: (0) -(x1,x2) w: (0) #-(x1,x2) w: (0) exp(x1,x2) w: (0) +(x1,x2) w: (0) *(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #4 Number of SCCs: 1, DPs: 1 SCC { #3 } Sum... succeeded. s(x1) w: (1 + x1) #*(x1,x2) w: (0) #exp(x1,x2) w: (0) 0() w: (0) -(x1,x2) w: (0) #-(x1,x2) w: (x2) exp(x1,x2) w: (0) +(x1,x2) w: (0) *(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #3 Number of SCCs: 0, DPs: 0