/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE Input TRS: 1: active(zeros()) -> mark(cons(0(),zeros())) 2: active(and(tt(),X)) -> mark(X) 3: active(length(nil())) -> mark(0()) 4: active(length(cons(N,L))) -> mark(s(length(L))) 5: mark(zeros()) -> active(zeros()) 6: mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) 7: mark(0()) -> active(0()) 8: mark(and(X1,X2)) -> active(and(mark(X1),X2)) 9: mark(tt()) -> active(tt()) 10: mark(length(X)) -> active(length(mark(X))) 11: mark(nil()) -> active(nil()) 12: mark(s(X)) -> active(s(mark(X))) 13: cons(mark(X1),X2) -> cons(X1,X2) 14: cons(X1,mark(X2)) -> cons(X1,X2) 15: cons(active(X1),X2) -> cons(X1,X2) 16: cons(X1,active(X2)) -> cons(X1,X2) 17: and(mark(X1),X2) -> and(X1,X2) 18: and(X1,mark(X2)) -> and(X1,X2) 19: and(active(X1),X2) -> and(X1,X2) 20: and(X1,active(X2)) -> and(X1,X2) 21: length(mark(X)) -> length(X) 22: length(active(X)) -> length(X) 23: s(mark(X)) -> s(X) 24: s(active(X)) -> s(X) Number of strict rules: 24 Direct POLO(bPol) ... removes: 8 3 11 9 2 s w: x1 and w: x1 + 2 * x2 + 1 zeros w: 0 0 w: 0 nil w: 1 mark w: 2 * x1 active w: x1 cons w: x1 + 2 * x2 tt w: 1 length w: x1 Number of strict rules: 19 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #mark(cons(X1,X2)) -> #active(cons(mark(X1),X2)) #2: #mark(cons(X1,X2)) -> #cons(mark(X1),X2) #3: #mark(cons(X1,X2)) -> #mark(X1) #4: #cons(mark(X1),X2) -> #cons(X1,X2) #5: #s(active(X)) -> #s(X) #6: #s(mark(X)) -> #s(X) #7: #mark(s(X)) -> #active(s(mark(X))) #8: #mark(s(X)) -> #s(mark(X)) #9: #mark(s(X)) -> #mark(X) #10: #cons(X1,mark(X2)) -> #cons(X1,X2) #11: #and(X1,active(X2)) -> #and(X1,X2) #12: #mark(0()) -> #active(0()) #13: #mark(length(X)) -> #active(length(mark(X))) #14: #mark(length(X)) -> #length(mark(X)) #15: #mark(length(X)) -> #mark(X) #16: #mark(zeros()) -> #active(zeros()) #17: #length(active(X)) -> #length(X) #18: #and(mark(X1),X2) -> #and(X1,X2) #19: #and(active(X1),X2) -> #and(X1,X2) #20: #length(mark(X)) -> #length(X) #21: #cons(X1,active(X2)) -> #cons(X1,X2) #22: #active(zeros()) -> #mark(cons(0(),zeros())) #23: #active(zeros()) -> #cons(0(),zeros()) #24: #cons(active(X1),X2) -> #cons(X1,X2) #25: #active(length(cons(N,L))) -> #mark(s(length(L))) #26: #active(length(cons(N,L))) -> #s(length(L)) #27: #active(length(cons(N,L))) -> #length(L) #28: #and(X1,mark(X2)) -> #and(X1,X2) Number of SCCs: 5, DPs: 19 SCC { #5 #6 } POLO(Sum)... succeeded. #cons w: 0 s w: 0 and w: 0 zeros w: 0 #mark w: 0 0 w: 0 #s w: x1 nil w: 0 mark w: x1 + 1 active w: x1 + 1 cons w: 0 #active w: 0 tt w: 0 length w: 0 #length w: 0 #and w: 0 USABLE RULES: { } Removed DPs: #5 #6 Number of SCCs: 4, DPs: 17 SCC { #17 #20 } POLO(Sum)... succeeded. #cons w: 0 s w: 0 and w: 0 zeros w: 0 #mark w: 0 0 w: 0 #s w: 0 nil w: 0 mark w: x1 + 1 active w: x1 + 1 cons w: 0 #active w: 0 tt w: 0 length w: 0 #length w: x1 #and w: 0 USABLE RULES: { } Removed DPs: #17 #20 Number of SCCs: 3, DPs: 15 SCC { #11 #18 #19 #28 } POLO(Sum)... succeeded. #cons w: 0 s w: 0 and w: 0 zeros w: 0 #mark w: 0 0 w: 0 #s w: 0 nil w: 0 mark w: x1 + 1 active w: x1 + 1 cons w: 0 #active w: 0 tt w: 0 length w: 0 #length w: 0 #and w: x1 USABLE RULES: { } Removed DPs: #18 #19 Number of SCCs: 3, DPs: 13 SCC { #11 #28 } POLO(Sum)... succeeded. #cons w: 0 s w: 0 and w: 0 zeros w: 0 #mark w: 0 0 w: 0 #s w: 0 nil w: 0 mark w: x1 + 1 active w: x1 + 1 cons w: 0 #active w: 0 tt w: 0 length w: 0 #length w: 0 #and w: x2 USABLE RULES: { } Removed DPs: #11 #28 Number of SCCs: 2, DPs: 11 SCC { #4 #10 #21 #24 } POLO(Sum)... succeeded. #cons w: x1 s w: 0 and w: 0 zeros w: 0 #mark w: 0 0 w: 0 #s w: 0 nil w: 0 mark w: x1 + 1 active w: x1 + 1 cons w: 0 #active w: 0 tt w: 0 length w: 0 #length w: 0 #and w: 0 USABLE RULES: { } Removed DPs: #4 #24 Number of SCCs: 2, DPs: 9 SCC { #10 #21 } POLO(Sum)... succeeded. #cons w: x2 s w: 0 and w: 0 zeros w: 0 #mark w: 0 0 w: 0 #s w: 0 nil w: 0 mark w: x1 + 1 active w: x1 + 1 cons w: 0 #active w: 0 tt w: 0 length w: 0 #length w: 0 #and w: 0 USABLE RULES: { } Removed DPs: #10 #21 Number of SCCs: 1, DPs: 7 SCC { #3 #9 #13 #15 #16 #22 #25 } POLO(Sum)... succeeded. #cons w: 0 s w: x1 and w: 0 zeros w: 1 #mark w: x1 0 w: 0 #s w: 0 nil w: 0 mark w: x1 active w: x1 cons w: x1 + x2 #active w: x1 tt w: 0 length w: x1 + 1 #length w: 0 #and w: 0 USABLE RULES: { 1 4..7 10 12..16 21..24 } Removed DPs: #15 Number of SCCs: 1, DPs: 6 SCC { #3 #9 #13 #16 #22 #25 } POLO(Sum)... succeeded. #cons w: 0 s w: x1 and w: 0 zeros w: 5 #mark w: x1 0 w: 2 #s w: 0 nil w: 0 mark w: 1 active w: x1 cons w: x1 + 1 #active w: 4 tt w: 0 length w: 4 #length w: 0 #and w: 0 USABLE RULES: { 21 22 } Removed DPs: #3 #16 #22 Number of SCCs: 1, DPs: 3 SCC { #9 #13 #25 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.