/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: active(from(X)) -> mark(cons(X,from(s(X)))) 2: active(sel(0(),cons(X,Y))) -> mark(X) 3: active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z)) 4: active(from(X)) -> from(active(X)) 5: active(cons(X1,X2)) -> cons(active(X1),X2) 6: active(s(X)) -> s(active(X)) 7: active(sel(X1,X2)) -> sel(active(X1),X2) 8: active(sel(X1,X2)) -> sel(X1,active(X2)) 9: from(mark(X)) -> mark(from(X)) 10: cons(mark(X1),X2) -> mark(cons(X1,X2)) 11: s(mark(X)) -> mark(s(X)) 12: sel(mark(X1),X2) -> mark(sel(X1,X2)) 13: sel(X1,mark(X2)) -> mark(sel(X1,X2)) 14: proper(from(X)) -> from(proper(X)) 15: proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) 16: proper(s(X)) -> s(proper(X)) 17: proper(sel(X1,X2)) -> sel(proper(X1),proper(X2)) 18: proper(0()) -> ok(0()) 19: from(ok(X)) -> ok(from(X)) 20: cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) 21: s(ok(X)) -> ok(s(X)) 22: sel(ok(X1),ok(X2)) -> ok(sel(X1,X2)) 23: top(mark(X)) -> top(proper(X)) 24: top(ok(X)) -> top(active(X)) Number of strict rules: 24 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #active(s(X)) -> #s(active(X)) #2: #active(s(X)) -> #active(X) #3: #sel(X1,mark(X2)) -> #sel(X1,X2) #4: #from(mark(X)) -> #from(X) #5: #s(mark(X)) -> #s(X) #6: #top(ok(X)) -> #top(active(X)) #7: #top(ok(X)) -> #active(X) #8: #top(mark(X)) -> #top(proper(X)) #9: #top(mark(X)) -> #proper(X) #10: #sel(mark(X1),X2) -> #sel(X1,X2) #11: #proper(from(X)) -> #from(proper(X)) #12: #proper(from(X)) -> #proper(X) #13: #cons(ok(X1),ok(X2)) -> #cons(X1,X2) #14: #active(sel(X1,X2)) -> #sel(active(X1),X2) #15: #active(sel(X1,X2)) -> #active(X1) #16: #cons(mark(X1),X2) -> #cons(X1,X2) #17: #active(cons(X1,X2)) -> #cons(active(X1),X2) #18: #active(cons(X1,X2)) -> #active(X1) #19: #sel(ok(X1),ok(X2)) -> #sel(X1,X2) #20: #proper(sel(X1,X2)) -> #sel(proper(X1),proper(X2)) #21: #proper(sel(X1,X2)) -> #proper(X1) #22: #proper(sel(X1,X2)) -> #proper(X2) #23: #from(ok(X)) -> #from(X) #24: #s(ok(X)) -> #s(X) #25: #proper(s(X)) -> #s(proper(X)) #26: #proper(s(X)) -> #proper(X) #27: #active(sel(s(X),cons(Y,Z))) -> #sel(X,Z) #28: #active(from(X)) -> #cons(X,from(s(X))) #29: #active(from(X)) -> #from(s(X)) #30: #active(from(X)) -> #s(X) #31: #active(sel(X1,X2)) -> #sel(X1,active(X2)) #32: #active(sel(X1,X2)) -> #active(X2) #33: #proper(cons(X1,X2)) -> #cons(proper(X1),proper(X2)) #34: #proper(cons(X1,X2)) -> #proper(X1) #35: #proper(cons(X1,X2)) -> #proper(X2) #36: #active(from(X)) -> #from(active(X)) #37: #active(from(X)) -> #active(X) Number of SCCs: 7, DPs: 22 SCC { #5 #24 } POLO(Sum)... succeeded. #cons w: 0 s w: 0 top w: 0 #top w: 0 proper w: 0 ok w: x1 + 1 0 w: 0 #sel w: 0 from w: 0 sel w: 0 #s w: x1 mark w: x1 + 1 #proper w: 0 #from w: 0 active w: 0 cons w: 0 #active w: 0 USABLE RULES: { } Removed DPs: #5 #24 Number of SCCs: 6, DPs: 20 SCC { #4 #23 } POLO(Sum)... succeeded. #cons w: 0 s w: 0 top w: 0 #top w: 0 proper w: 0 ok w: x1 + 1 0 w: 0 #sel w: 0 from w: 0 sel w: 0 #s w: 0 mark w: x1 + 1 #proper w: 0 #from w: x1 active w: 0 cons w: 0 #active w: 0 USABLE RULES: { } Removed DPs: #4 #23 Number of SCCs: 5, DPs: 18 SCC { #6 #8 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. #cons s: [1] p: 0 w: max(x1) s s: [1] p: 7 w: x1 top s: [] p: 0 w: 0 #top s: [1] p: 0 w: x1 + 1 proper s: 1 ok s: 1 0 s: [] p: 0 w: 1 #sel s: [] p: 0 w: x2 from s: [1] p: 4 w: x1 + 2 sel s: [1,2] p: 8 w: x1 + x2 + 2 #s s: [] p: 0 w: 0 mark s: [1] p: 2 w: x1 #proper s: [] p: 0 w: 0 #from s: [] p: 0 w: 1 active s: 1 cons s: [1] p: 3 w: max(x1 + 1, x2) #active s: [] p: 0 w: 1 USABLE RULES: { 1..22 } Removed DPs: #8 Number of SCCs: 5, DPs: 17 SCC { #6 } POLO(Sum)... succeeded. #cons w: 0 s w: x1 + 1 top w: 0 #top w: x1 proper w: x1 + 6 ok w: x1 + 6 0 w: 1 #sel w: 0 from w: x1 + 1 sel w: x2 + 1 #s w: 0 mark w: 1 #proper w: 0 #from w: 0 active w: x1 + 5 cons w: x1 + 1 #active w: 0 USABLE RULES: { 1..22 } Removed DPs: #6 Number of SCCs: 4, DPs: 16 SCC { #13 #16 } POLO(Sum)... succeeded. #cons w: x2 s w: x1 + 1 top w: 0 #top w: x1 proper w: x1 + 6 ok w: x1 + 6 0 w: 1 #sel w: 0 from w: x1 + 1 sel w: x2 + 1 #s w: 0 mark w: 1 #proper w: 0 #from w: 0 active w: x1 + 5 cons w: x1 + 1 #active w: 0 USABLE RULES: { 1..22 } Removed DPs: #13 Number of SCCs: 4, DPs: 15 SCC { #16 } POLO(Sum)... succeeded. #cons w: x1 s w: x1 + 1 top w: 0 #top w: 0 proper w: x1 + 6 ok w: x1 + 6 0 w: 1 #sel w: 0 from w: x1 + 1 sel w: x2 + 1 #s w: 0 mark w: x1 + 1 #proper w: 0 #from w: 0 active w: x1 + 6 cons w: x1 + 1 #active w: 0 USABLE RULES: { 1 2 9..11 18..21 } Removed DPs: #16 Number of SCCs: 3, DPs: 14 SCC { #3 #10 #19 } POLO(Sum)... succeeded. #cons w: 0 s w: x1 + 1 top w: 0 #top w: 0 proper w: x1 + 6 ok w: x1 + 6 0 w: 1 #sel w: x1 + x2 from w: x1 + 1 sel w: x2 + 1 #s w: 0 mark w: x1 + 1 #proper w: 0 #from w: 0 active w: x1 + 6 cons w: x1 + 1 #active w: 0 USABLE RULES: { 1 2 9..11 18..21 } Removed DPs: #3 #10 #19 Number of SCCs: 2, DPs: 11 SCC { #2 #15 #18 #32 #37 } POLO(Sum)... succeeded. #cons w: 0 s w: x1 + 1 top w: 0 #top w: 0 proper w: x1 + 6 ok w: x1 + 6 0 w: 1 #sel w: 0 from w: x1 + 1 sel w: x1 + x2 + 1 #s w: 0 mark w: x1 + 2 #proper w: 0 #from w: 0 active w: x1 + 6 cons w: x1 + 1 #active w: x1 USABLE RULES: { 1 2 9..11 18..21 } Removed DPs: #2 #15 #18 #32 #37 Number of SCCs: 1, DPs: 6 SCC { #12 #21 #22 #26 #34 #35 } POLO(Sum)... succeeded. #cons w: 0 s w: x1 + 1 top w: 0 #top w: 0 proper w: 7 ok w: x1 + 6 0 w: 1 #sel w: 0 from w: x1 + 1 sel w: x1 + x2 + 1 #s w: 0 mark w: x1 + 2 #proper w: x1 #from w: 0 active w: x1 + 6 cons w: x1 + x2 + 1 #active w: 0 USABLE RULES: { 2 9..11 18..21 } Removed DPs: #12 #21 #22 #26 #34 #35 Number of SCCs: 0, DPs: 0