0.00/0.06 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.06 % Command : eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule --cpu-limit=%d %s 0.03/0.34 % Computer : n061.star.cs.uiowa.edu 0.03/0.34 % Model : x86_64 x86_64 0.03/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.34 % Memory : 32218.625MB 0.03/0.34 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.34 % CPULimit : 300 0.03/0.34 % DateTime : Fri Jul 13 15:56:56 CDT 2018 0.03/0.34 % CPUTime : 0.03/0.34 # Version: 2.2pre001 0.03/0.35 # No SInE strategy applied 0.03/0.35 # Trying AutoSched0 for 151 seconds 0.33/0.62 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_TT_S0Y 0.33/0.62 # and selection function SelectMaxLComplexAvoidPosPred. 0.33/0.62 # 0.33/0.62 # Preprocessing time : 0.011 s 0.33/0.62 # Presaturation interreduction done 0.33/0.62 0.33/0.62 # Proof found! 0.33/0.62 # SZS status Theorem 0.33/0.62 # SZS output start CNFRefutation 0.33/0.62 fof(sequential_is_triangle, conjecture, (![X1, X2, X6, X7, X3]:(((precedes(X6,X7,X3)&sequential(X6,X7))&shortest_path(X1,X2,X3))=>?[X8]:triangle(X6,X7,X8))<=complete), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sequential_is_triangle)). 0.33/0.62 fof(shortest_path_defn, axiom, ![X1, X2, X10]:(((path(X1,X2,X10)&X2!=X1)&![X3]:(path(X1,X2,X3)=>less_or_equal(length_of(X10),length_of(X3))))<=>shortest_path(X1,X2,X10)), file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax', shortest_path_defn)). 0.33/0.62 fof(shortest_path_properties, axiom, ![X1, X2, X6, X7, X3]:((~(precedes(X7,X6,X3))&~(?[X8]:(head_of(X8)=head_of(X7)&tail_of(X8)=tail_of(X6))))<=(shortest_path(X1,X2,X3)&precedes(X6,X7,X3))), file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax', shortest_path_properties)). 0.33/0.62 fof(back_edge, lemma, (![X1, X2, X6, X7, X3]:(?[X8]:((head_of(X8)=tail_of(X6)&tail_of(X8)=head_of(X7))&edge(X8))<=(shortest_path(X1,X2,X3)&precedes(X6,X7,X3)))<=complete), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', back_edge)). 0.33/0.62 fof(in_path_properties, axiom, ![X1, X2, X3, X4]:((?[X5]:(on_path(X5,X3)&(X4=tail_of(X5)|X4=head_of(X5)))&vertex(X4))<=(in_path(X4,X3)&path(X1,X2,X3))), file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax', in_path_properties)). 0.33/0.62 fof(on_path_properties, axiom, ![X1, X2, X3, X5]:(((edge(X5)&in_path(head_of(X5),X3))&in_path(tail_of(X5),X3))<=(path(X1,X2,X3)&on_path(X5,X3))), file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax', on_path_properties)). 0.33/0.62 fof(precedes_properties, axiom, ![X3, X1, X2]:(path(X1,X2,X3)=>![X6, X7]:(precedes(X6,X7,X3)=>(((?[X8]:(sequential(X6,X8)&precedes(X8,X7,X3))<~>sequential(X6,X7))&on_path(X7,X3))&on_path(X6,X3)))), file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax', precedes_properties)). 0.33/0.62 fof(complete_properties, axiom, (![X1, X2]:(((X1!=X2&vertex(X2))&vertex(X1))=>?[X5]:(((head_of(X5)=X1&tail_of(X5)=X2)<~>(X2=head_of(X5)&X1=tail_of(X5)))&edge(X5)))<=complete), file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax', complete_properties)). 0.33/0.62 fof(edge_ends_are_vertices, axiom, ![X5]:((vertex(head_of(X5))&vertex(tail_of(X5)))<=edge(X5)), file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax', edge_ends_are_vertices)). 0.33/0.62 fof(sequential_defn, axiom, ![X6, X7]:(sequential(X6,X7)<=>(((edge(X6)&head_of(X6)=tail_of(X7))&X6!=X7)&edge(X7))), file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax', sequential_defn)). 0.33/0.62 fof(triangle_defn, axiom, ![X6, X7, X8]:(triangle(X6,X7,X8)<=>(((((edge(X7)&sequential(X6,X7))&sequential(X8,X6))&sequential(X7,X8))&edge(X8))&edge(X6))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', triangle_defn)). 0.33/0.62 fof(c_0_11, negated_conjecture, ~((![X1, X2, X6, X7, X3]:(((precedes(X6,X7,X3)&sequential(X6,X7))&shortest_path(X1,X2,X3))=>?[X8]:triangle(X6,X7,X8))<=complete)), inference(assume_negation,[status(cth)],[sequential_is_triangle])). 0.33/0.62 fof(c_0_12, plain, ![X39, X40, X41, X39, X40, X41, X43]:(((path(X39,X40,esk5_3(X39,X40,X41))|(~path(X39,X40,X41)|X40=X39)|shortest_path(X39,X40,X41))&(~less_or_equal(length_of(X41),length_of(esk5_3(X39,X40,X41)))|(~path(X39,X40,X41)|X40=X39)|shortest_path(X39,X40,X41)))&(((path(X39,X40,X41)|~shortest_path(X39,X40,X41))&(X40!=X39|~shortest_path(X39,X40,X41)))&(~path(X39,X40,X43)|less_or_equal(length_of(X41),length_of(X43))|~shortest_path(X39,X40,X41)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[shortest_path_defn])])])])])])])). 0.33/0.62 fof(c_0_13, negated_conjecture, ![X69]:(complete&(((precedes(esk9_0,esk10_0,esk11_0)&sequential(esk9_0,esk10_0))&shortest_path(esk7_0,esk8_0,esk11_0))&~triangle(esk9_0,esk10_0,X69))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_11])])])])])])])). 0.33/0.62 fof(c_0_14, plain, ![X30, X31, X32, X33, X34, X35]:((~precedes(X33,X32,X34)|(~shortest_path(X30,X31,X34)|~precedes(X32,X33,X34)))&(head_of(X35)!=head_of(X33)|tail_of(X35)!=tail_of(X32)|(~shortest_path(X30,X31,X34)|~precedes(X32,X33,X34)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[shortest_path_properties])])])])])])])). 0.33/0.62 fof(c_0_15, lemma, ![X87, X88, X89, X90, X91]:(((head_of(esk14_4(X87,X88,X89,X90))=tail_of(X89)|(~shortest_path(X87,X88,X91)|~precedes(X89,X90,X91))|~complete)&(tail_of(esk14_4(X87,X88,X89,X90))=head_of(X90)|(~shortest_path(X87,X88,X91)|~precedes(X89,X90,X91))|~complete))&(edge(esk14_4(X87,X88,X89,X90))|(~shortest_path(X87,X88,X91)|~precedes(X89,X90,X91))|~complete)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[back_edge])])])])])])])])). 0.33/0.62 fof(c_0_16, plain, ![X13, X14, X15, X16]:(((on_path(esk1_4(X13,X14,X15,X16),X15)|(~in_path(X16,X15)|~path(X13,X14,X15)))&(X16=tail_of(esk1_4(X13,X14,X15,X16))|X16=head_of(esk1_4(X13,X14,X15,X16))|(~in_path(X16,X15)|~path(X13,X14,X15))))&(vertex(X16)|(~in_path(X16,X15)|~path(X13,X14,X15)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[in_path_properties])])])])])])])). 0.33/0.62 cnf(c_0_17, plain, (path(X1,X2,X3)|~shortest_path(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_12])). 0.33/0.62 cnf(c_0_18, negated_conjecture, (shortest_path(esk7_0,esk8_0,esk11_0)), inference(split_conjunct,[status(thm)],[c_0_13])). 0.33/0.62 fof(c_0_19, plain, ![X51, X52, X53, X54]:(((edge(X54)|(~path(X51,X52,X53)|~on_path(X54,X53)))&(in_path(head_of(X54),X53)|(~path(X51,X52,X53)|~on_path(X54,X53))))&(in_path(tail_of(X54),X53)|(~path(X51,X52,X53)|~on_path(X54,X53)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[on_path_properties])])])])). 0.33/0.62 fof(c_0_20, plain, ![X44, X45, X46, X47, X48, X49]:((((~sequential(X47,X49)|~precedes(X49,X48,X44)|~sequential(X47,X48)|~precedes(X47,X48,X44)|~path(X45,X46,X44))&((sequential(X47,esk6_3(X44,X47,X48))|sequential(X47,X48)|~precedes(X47,X48,X44)|~path(X45,X46,X44))&(precedes(esk6_3(X44,X47,X48),X48,X44)|sequential(X47,X48)|~precedes(X47,X48,X44)|~path(X45,X46,X44))))&(on_path(X48,X44)|~precedes(X47,X48,X44)|~path(X45,X46,X44)))&(on_path(X47,X44)|~precedes(X47,X48,X44)|~path(X45,X46,X44))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[precedes_properties])])])])])])])])). 0.33/0.62 cnf(c_0_21, plain, (head_of(X1)!=head_of(X2)|tail_of(X1)!=tail_of(X3)|~shortest_path(X4,X5,X6)|~precedes(X3,X2,X6)), inference(split_conjunct,[status(thm)],[c_0_14])). 0.33/0.62 cnf(c_0_22, lemma, (tail_of(esk14_4(X1,X2,X3,X4))=head_of(X4)|~shortest_path(X1,X2,X5)|~precedes(X3,X4,X5)|~complete), inference(split_conjunct,[status(thm)],[c_0_15])). 0.33/0.62 cnf(c_0_23, negated_conjecture, (complete), inference(split_conjunct,[status(thm)],[c_0_13])). 0.33/0.62 cnf(c_0_24, plain, (vertex(X1)|~in_path(X1,X2)|~path(X3,X4,X2)), inference(split_conjunct,[status(thm)],[c_0_16])). 0.33/0.62 cnf(c_0_25, negated_conjecture, (path(esk7_0,esk8_0,esk11_0)), inference(spm,[status(thm)],[c_0_17, c_0_18])). 0.33/0.62 cnf(c_0_26, plain, (in_path(head_of(X1),X2)|~path(X3,X4,X2)|~on_path(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_19])). 0.33/0.62 cnf(c_0_27, plain, (on_path(X1,X2)|~precedes(X3,X1,X2)|~path(X4,X5,X2)), inference(split_conjunct,[status(thm)],[c_0_20])). 0.33/0.62 cnf(c_0_28, negated_conjecture, (precedes(esk9_0,esk10_0,esk11_0)), inference(split_conjunct,[status(thm)],[c_0_13])). 0.33/0.62 cnf(c_0_29, lemma, (head_of(esk14_4(X1,X2,X3,X4))=tail_of(X3)|~shortest_path(X1,X2,X5)|~precedes(X3,X4,X5)|~complete), inference(split_conjunct,[status(thm)],[c_0_15])). 0.33/0.62 cnf(c_0_30, lemma, (edge(esk14_4(X1,X2,X3,X4))|~shortest_path(X1,X2,X5)|~precedes(X3,X4,X5)|~complete), inference(split_conjunct,[status(thm)],[c_0_15])). 0.33/0.62 cnf(c_0_31, negated_conjecture, (tail_of(X1)!=tail_of(X2)|head_of(X1)!=head_of(X3)|~precedes(X2,X3,esk11_0)), inference(spm,[status(thm)],[c_0_21, c_0_18])). 0.33/0.62 cnf(c_0_32, lemma, (tail_of(esk14_4(X1,X2,X3,X4))=head_of(X4)|~shortest_path(X1,X2,X5)|~precedes(X3,X4,X5)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23])])). 0.33/0.62 fof(c_0_33, plain, ![X36, X37]:(((head_of(esk4_2(X36,X37))!=X36|tail_of(esk4_2(X36,X37))!=X37|(X37!=head_of(esk4_2(X36,X37))|X36!=tail_of(esk4_2(X36,X37)))|(X36=X37|~vertex(X37)|~vertex(X36))|~complete)&(((X37=head_of(esk4_2(X36,X37))|head_of(esk4_2(X36,X37))=X36|(X36=X37|~vertex(X37)|~vertex(X36))|~complete)&(X36=tail_of(esk4_2(X36,X37))|head_of(esk4_2(X36,X37))=X36|(X36=X37|~vertex(X37)|~vertex(X36))|~complete))&((X37=head_of(esk4_2(X36,X37))|tail_of(esk4_2(X36,X37))=X37|(X36=X37|~vertex(X37)|~vertex(X36))|~complete)&(X36=tail_of(esk4_2(X36,X37))|tail_of(esk4_2(X36,X37))=X37|(X36=X37|~vertex(X37)|~vertex(X36))|~complete))))&(edge(esk4_2(X36,X37))|(X36=X37|~vertex(X37)|~vertex(X36))|~complete)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[complete_properties])])])])])])])])). 0.33/0.62 cnf(c_0_34, negated_conjecture, (vertex(X1)|~in_path(X1,esk11_0)), inference(spm,[status(thm)],[c_0_24, c_0_25])). 0.33/0.62 cnf(c_0_35, negated_conjecture, (in_path(head_of(X1),esk11_0)|~on_path(X1,esk11_0)), inference(spm,[status(thm)],[c_0_26, c_0_25])). 0.33/0.62 cnf(c_0_36, negated_conjecture, (on_path(esk10_0,esk11_0)|~path(X1,X2,esk11_0)), inference(spm,[status(thm)],[c_0_27, c_0_28])). 0.33/0.62 fof(c_0_37, plain, ![X60]:((vertex(head_of(X60))|~edge(X60))&(vertex(tail_of(X60))|~edge(X60))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[edge_ends_are_vertices])])])])). 0.33/0.62 cnf(c_0_38, lemma, (head_of(esk14_4(X1,X2,X3,X4))=tail_of(X3)|~shortest_path(X1,X2,X5)|~precedes(X3,X4,X5)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_23])])). 0.33/0.62 cnf(c_0_39, lemma, (edge(esk14_4(X1,X2,X3,X4))|~shortest_path(X1,X2,X5)|~precedes(X3,X4,X5)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_23])])). 0.33/0.62 cnf(c_0_40, negated_conjecture, (tail_of(X1)!=tail_of(esk9_0)|head_of(X1)!=head_of(esk10_0)), inference(spm,[status(thm)],[c_0_31, c_0_28])). 0.33/0.62 cnf(c_0_41, negated_conjecture, (tail_of(esk14_4(esk7_0,esk8_0,X1,X2))=head_of(X2)|~precedes(X1,X2,esk11_0)), inference(spm,[status(thm)],[c_0_32, c_0_18])). 0.33/0.62 cnf(c_0_42, plain, (X1=tail_of(esk4_2(X1,X2))|tail_of(esk4_2(X1,X2))=X2|X1=X2|~vertex(X2)|~vertex(X1)|~complete), inference(split_conjunct,[status(thm)],[c_0_33])). 0.33/0.62 cnf(c_0_43, negated_conjecture, (vertex(head_of(X1))|~on_path(X1,esk11_0)), inference(spm,[status(thm)],[c_0_34, c_0_35])). 0.33/0.62 cnf(c_0_44, negated_conjecture, (on_path(esk10_0,esk11_0)), inference(spm,[status(thm)],[c_0_36, c_0_25])). 0.33/0.62 cnf(c_0_45, plain, (vertex(head_of(X1))|~edge(X1)), inference(split_conjunct,[status(thm)],[c_0_37])). 0.33/0.62 cnf(c_0_46, negated_conjecture, (head_of(esk14_4(esk7_0,esk8_0,X1,X2))=tail_of(X1)|~precedes(X1,X2,esk11_0)), inference(spm,[status(thm)],[c_0_38, c_0_18])). 0.33/0.62 cnf(c_0_47, negated_conjecture, (edge(esk14_4(esk7_0,esk8_0,X1,X2))|~precedes(X1,X2,esk11_0)), inference(spm,[status(thm)],[c_0_39, c_0_18])). 0.33/0.62 cnf(c_0_48, negated_conjecture, (head_of(esk14_4(esk7_0,esk8_0,X1,X2))!=head_of(esk10_0)|head_of(X2)!=tail_of(esk9_0)|~precedes(X1,X2,esk11_0)), inference(spm,[status(thm)],[c_0_40, c_0_41])). 0.33/0.62 cnf(c_0_49, plain, (tail_of(esk4_2(X1,X2))=X2|tail_of(esk4_2(X1,X2))=X1|X1=X2|~vertex(X2)|~vertex(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_23])])). 0.33/0.62 cnf(c_0_50, negated_conjecture, (vertex(head_of(esk10_0))), inference(spm,[status(thm)],[c_0_43, c_0_44])). 0.33/0.62 cnf(c_0_51, negated_conjecture, (vertex(tail_of(X1))|~precedes(X1,X2,esk11_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_47])). 0.33/0.62 cnf(c_0_52, negated_conjecture, (tail_of(X1)!=head_of(esk10_0)|head_of(X2)!=tail_of(esk9_0)|~precedes(X1,X2,esk11_0)), inference(spm,[status(thm)],[c_0_48, c_0_46])). 0.33/0.62 fof(c_0_53, plain, ![X62, X63, X62, X63]:(((((edge(X62)|~sequential(X62,X63))&(head_of(X62)=tail_of(X63)|~sequential(X62,X63)))&(X62!=X63|~sequential(X62,X63)))&(edge(X63)|~sequential(X62,X63)))&(~edge(X62)|head_of(X62)!=tail_of(X63)|X62=X63|~edge(X63)|sequential(X62,X63))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sequential_defn])])])])])). 0.33/0.62 cnf(c_0_54, negated_conjecture, (tail_of(esk4_2(X1,head_of(esk10_0)))=head_of(esk10_0)|tail_of(esk4_2(X1,head_of(esk10_0)))=X1|X1=head_of(esk10_0)|~vertex(X1)), inference(spm,[status(thm)],[c_0_49, c_0_50])). 0.33/0.62 cnf(c_0_55, negated_conjecture, (vertex(tail_of(esk9_0))), inference(spm,[status(thm)],[c_0_51, c_0_28])). 0.33/0.62 cnf(c_0_56, negated_conjecture, (tail_of(esk9_0)!=head_of(esk10_0)), inference(spm,[status(thm)],[c_0_52, c_0_28])). 0.33/0.62 fof(c_0_57, plain, ![X78, X79, X80, X78, X79, X80]:(((((((edge(X79)|~triangle(X78,X79,X80))&(sequential(X78,X79)|~triangle(X78,X79,X80)))&(sequential(X80,X78)|~triangle(X78,X79,X80)))&(sequential(X79,X80)|~triangle(X78,X79,X80)))&(edge(X80)|~triangle(X78,X79,X80)))&(edge(X78)|~triangle(X78,X79,X80)))&(~edge(X79)|~sequential(X78,X79)|~sequential(X80,X78)|~sequential(X79,X80)|~edge(X80)|~edge(X78)|triangle(X78,X79,X80))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[triangle_defn])])])])])). 0.33/0.62 cnf(c_0_58, plain, (edge(X1)|~sequential(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_53])). 0.33/0.62 cnf(c_0_59, negated_conjecture, (sequential(esk9_0,esk10_0)), inference(split_conjunct,[status(thm)],[c_0_13])). 0.33/0.62 cnf(c_0_60, plain, (X1=head_of(esk4_2(X2,X1))|tail_of(esk4_2(X2,X1))=X1|X2=X1|~vertex(X1)|~vertex(X2)|~complete), inference(split_conjunct,[status(thm)],[c_0_33])). 0.33/0.62 cnf(c_0_61, negated_conjecture, (tail_of(esk4_2(tail_of(esk9_0),head_of(esk10_0)))=tail_of(esk9_0)|tail_of(esk4_2(tail_of(esk9_0),head_of(esk10_0)))=head_of(esk10_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_56])). 0.33/0.62 cnf(c_0_62, plain, (triangle(X2,X1,X3)|~edge(X1)|~sequential(X2,X1)|~sequential(X3,X2)|~sequential(X1,X3)|~edge(X3)|~edge(X2)), inference(split_conjunct,[status(thm)],[c_0_57])). 0.33/0.62 cnf(c_0_63, plain, (edge(X1)|~sequential(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_53])). 0.33/0.62 cnf(c_0_64, plain, (edge(esk4_2(X1,X2))|X1=X2|~vertex(X2)|~vertex(X1)|~complete), inference(split_conjunct,[status(thm)],[c_0_33])). 0.33/0.62 cnf(c_0_65, plain, (X1=X2|sequential(X1,X2)|~edge(X1)|head_of(X1)!=tail_of(X2)|~edge(X2)), inference(split_conjunct,[status(thm)],[c_0_53])). 0.33/0.62 cnf(c_0_66, negated_conjecture, (edge(esk10_0)), inference(spm,[status(thm)],[c_0_58, c_0_59])). 0.33/0.62 cnf(c_0_67, plain, (tail_of(esk4_2(X1,X2))=X2|head_of(esk4_2(X1,X2))=X2|X2=X1|~vertex(X1)|~vertex(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_23])])). 0.33/0.62 cnf(c_0_68, negated_conjecture, (tail_of(esk4_2(tail_of(esk9_0),head_of(esk10_0)))=head_of(esk10_0)|head_of(esk4_2(tail_of(esk9_0),head_of(esk10_0)))!=head_of(esk10_0)), inference(spm,[status(thm)],[c_0_40, c_0_61])). 0.33/0.62 cnf(c_0_69, negated_conjecture, (~triangle(esk9_0,esk10_0,X1)), inference(split_conjunct,[status(thm)],[c_0_13])). 0.33/0.62 cnf(c_0_70, plain, (triangle(X1,X2,X3)|~sequential(X3,X1)|~sequential(X1,X2)|~sequential(X2,X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_62, c_0_63]), c_0_63]), c_0_63])). 0.33/0.62 cnf(c_0_71, plain, (X1=X2|edge(esk4_2(X1,X2))|~vertex(X2)|~vertex(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64, c_0_23])])). 0.33/0.62 cnf(c_0_72, negated_conjecture, (esk10_0=X1|sequential(esk10_0,X1)|tail_of(X1)!=head_of(esk10_0)|~edge(X1)), inference(spm,[status(thm)],[c_0_65, c_0_66])). 0.33/0.62 cnf(c_0_73, negated_conjecture, (tail_of(esk4_2(tail_of(esk9_0),head_of(esk10_0)))=head_of(esk10_0)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_61]), c_0_55]), c_0_50])]), c_0_56]), c_0_68])). 0.33/0.62 cnf(c_0_74, plain, (X1=tail_of(esk4_2(X1,X2))|head_of(esk4_2(X1,X2))=X1|X1=X2|~vertex(X2)|~vertex(X1)|~complete), inference(split_conjunct,[status(thm)],[c_0_33])). 0.33/0.62 cnf(c_0_75, negated_conjecture, (~sequential(X1,esk9_0)|~sequential(esk10_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_59])])). 0.33/0.62 cnf(c_0_76, plain, (esk4_2(X1,X2)=X3|X1=X2|sequential(esk4_2(X1,X2),X3)|head_of(esk4_2(X1,X2))!=tail_of(X3)|~edge(X3)|~vertex(X2)|~vertex(X1)), inference(spm,[status(thm)],[c_0_65, c_0_71])). 0.33/0.62 cnf(c_0_77, negated_conjecture, (edge(esk9_0)), inference(spm,[status(thm)],[c_0_63, c_0_59])). 0.33/0.62 cnf(c_0_78, negated_conjecture, (esk4_2(tail_of(esk9_0),head_of(esk10_0))=esk10_0|sequential(esk10_0,esk4_2(tail_of(esk9_0),head_of(esk10_0)))|~edge(esk4_2(tail_of(esk9_0),head_of(esk10_0)))), inference(spm,[status(thm)],[c_0_72, c_0_73])). 0.33/0.62 cnf(c_0_79, plain, (head_of(esk4_2(X1,X2))=X1|tail_of(esk4_2(X1,X2))=X1|X1=X2|~vertex(X2)|~vertex(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74, c_0_23])])). 0.33/0.62 cnf(c_0_80, plain, (head_of(X1)=tail_of(X2)|~sequential(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_53])). 0.33/0.62 cnf(c_0_81, negated_conjecture, (esk4_2(X1,X2)=esk9_0|X1=X2|head_of(esk4_2(X1,X2))!=tail_of(esk9_0)|~sequential(esk10_0,esk4_2(X1,X2))|~vertex(X2)|~vertex(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_76]), c_0_77])])). 0.33/0.62 cnf(c_0_82, negated_conjecture, (esk4_2(tail_of(esk9_0),head_of(esk10_0))=esk10_0|sequential(esk10_0,esk4_2(tail_of(esk9_0),head_of(esk10_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_71]), c_0_50]), c_0_55])]), c_0_56])). 0.33/0.62 cnf(c_0_83, negated_conjecture, (head_of(esk4_2(tail_of(esk9_0),head_of(esk10_0)))=tail_of(esk9_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_73]), c_0_50]), c_0_55])]), c_0_56])). 0.33/0.62 cnf(c_0_84, negated_conjecture, (tail_of(esk10_0)=head_of(esk9_0)), inference(spm,[status(thm)],[c_0_80, c_0_59])). 0.33/0.62 cnf(c_0_85, negated_conjecture, (esk4_2(tail_of(esk9_0),head_of(esk10_0))=esk10_0|esk4_2(tail_of(esk9_0),head_of(esk10_0))=esk9_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_82]), c_0_83]), c_0_50]), c_0_55])]), c_0_56])). 0.33/0.62 cnf(c_0_86, negated_conjecture, (tail_of(esk9_0)!=head_of(esk9_0)), inference(spm,[status(thm)],[c_0_40, c_0_84])). 0.33/0.62 cnf(c_0_87, negated_conjecture, (esk4_2(tail_of(esk9_0),head_of(esk10_0))=esk9_0), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_85]), c_0_84]), c_0_50]), c_0_55])]), c_0_86]), c_0_56])). 0.33/0.62 cnf(c_0_88, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_73, c_0_87]), c_0_56]), ['proof']). 0.33/0.62 # SZS output end CNFRefutation 0.33/0.62 # Proof object total steps : 89 0.33/0.62 # Proof object clause steps : 66 0.33/0.62 # Proof object formula steps : 23 0.33/0.62 # Proof object conjectures : 42 0.33/0.62 # Proof object clause conjectures : 39 0.33/0.62 # Proof object formula conjectures : 3 0.33/0.62 # Proof object initial clauses used : 23 0.33/0.62 # Proof object initial formulas used : 11 0.33/0.62 # Proof object generating inferences : 34 0.33/0.62 # Proof object simplifying inferences : 49 0.33/0.62 # Training examples: 0 positive, 0 negative 0.33/0.62 # Parsed axioms : 19 0.33/0.62 # Removed by relevancy pruning/SinE : 0 0.33/0.62 # Initial clauses : 67 0.33/0.62 # Removed in clause preprocessing : 1 0.33/0.62 # Initial clauses in saturation : 66 0.33/0.62 # Processed clauses : 2401 0.33/0.62 # ...of these trivial : 128 0.33/0.62 # ...subsumed : 960 0.33/0.62 # ...remaining for further processing : 1313 0.33/0.62 # Other redundant clauses eliminated : 77 0.33/0.62 # Clauses deleted for lack of memory : 0 0.33/0.62 # Backward-subsumed : 78 0.33/0.62 # Backward-rewritten : 26 0.33/0.62 # Generated clauses : 10940 0.33/0.62 # ...of the previous two non-trivial : 9701 0.33/0.62 # Contextual simplify-reflections : 1340 0.33/0.62 # Paramodulations : 10786 0.33/0.62 # Factorizations : 62 0.33/0.62 # Equation resolutions : 94 0.33/0.62 # Propositional unsat checks : 0 0.33/0.62 # Propositional check models : 0 0.33/0.62 # Propositional check unsatisfiable : 0 0.33/0.62 # Propositional clauses : 0 0.33/0.62 # Propositional clauses after purity: 0 0.33/0.62 # Propositional unsat core size : 0 0.33/0.62 # Current number of processed clauses : 1138 0.33/0.62 # Positive orientable unit clauses : 29 0.33/0.62 # Positive unorientable unit clauses: 0 0.33/0.62 # Negative unit clauses : 8 0.33/0.62 # Non-unit-clauses : 1101 0.33/0.62 # Current number of unprocessed clauses: 6797 0.33/0.62 # ...number of literals in the above : 41705 0.33/0.62 # Current number of archived formulas : 0 0.33/0.62 # Current number of archived clauses : 171 0.33/0.62 # Clause-clause subsumption calls (NU) : 199790 0.33/0.62 # Rec. Clause-clause subsumption calls : 31666 0.33/0.62 # Non-unit clause-clause subsumptions : 2266 0.33/0.62 # Unit Clause-clause subsumption calls : 742 0.33/0.62 # Rewrite failures with RHS unbound : 0 0.33/0.62 # BW rewrite match attempts : 14 0.33/0.62 # BW rewrite match successes : 7 0.33/0.62 # Condensation attempts : 0 0.33/0.62 # Condensation successes : 0 0.33/0.62 # Termbank termtop insertions : 251837 0.33/0.62 0.33/0.62 # ------------------------------------------------- 0.33/0.62 # User time : 0.267 s 0.33/0.62 # System time : 0.010 s 0.33/0.62 # Total time : 0.276 s 0.33/0.62 # Maximum resident set size: 1556 pages 0.33/0.62 EOF