/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: xor(x,F()) -> x 2: xor(x,neg(x)) -> F() 3: and(x,T()) -> x 4: and(x,F()) -> F() 5: and(x,x) -> x 6: and(xor(x,y),z) -> xor(and(x,z),and(y,z)) 7: xor(x,x) -> F() 8: impl(x,y) -> xor(and(x,y),xor(x,T())) 9: or(x,y) -> xor(and(x,y),xor(x,y)) 10: equiv(x,y) -> xor(x,xor(y,T())) 11: neg(x) -> xor(x,T()) Number of strict rules: 11 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #and(xor(x,y),z) -> #xor(and(x,z),and(y,z)) #2: #and(xor(x,y),z) -> #and(x,z) #3: #and(xor(x,y),z) -> #and(y,z) #4: #or(x,y) -> #xor(and(x,y),xor(x,y)) #5: #or(x,y) -> #and(x,y) #6: #or(x,y) -> #xor(x,y) #7: #neg(x) -> #xor(x,T()) #8: #equiv(x,y) -> #xor(x,xor(y,T())) #9: #equiv(x,y) -> #xor(y,T()) #10: #impl(x,y) -> #xor(and(x,y),xor(x,T())) #11: #impl(x,y) -> #and(x,y) #12: #impl(x,y) -> #xor(x,T()) Number of SCCs: 1, DPs: 2 SCC { #2 #3 } Sum... succeeded. T() w: (0) F() w: (0) and(x1,x2) w: (0) #impl(x1,x2) w: (0) equiv(x1,x2) w: (0) or(x1,x2) w: (0) neg(x1) w: (0) impl(x1,x2) w: (0) #xor(x1,x2) w: (0) #equiv(x1,x2) w: (0) #or(x1,x2) w: (0) #neg(x1) w: (0) xor(x1,x2) w: (1 + x2 + x1) #and(x1,x2) w: (x1) USABLE RULES: { } Removed DPs: #2 #3 Number of SCCs: 0, DPs: 0