0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : eprover --auto -s --tableau=1 [--tableau-equality=1] --tableau-depth=10 %s 0.13/0.34 % Computer : n014.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Thu Jul 2 07:35:10 EDT 2020 0.13/0.34 % CPUTime : 0.21/0.35 % Running in FOF/CNF-non-UEQ mode 0.21/0.38 # No SInE strategy applied 0.21/0.38 # Auto-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y 0.21/0.38 # and selection function SelectMaxLComplexAvoidPosPred. 0.21/0.38 # 0.21/0.38 # Number of axioms: 47 Number of unprocessed: 47 0.21/0.38 # Tableaux proof search. 0.21/0.38 # 47 beginning clauses after preprocessing and clausification 0.21/0.38 # Creating start rules for all conjectures. 0.21/0.38 # 5 unit axioms, 4 start rules, and 42 other extension candidates. 0.21/0.38 ##### Beginning tableaux proof search with 4 start rule applications. 0.21/0.42 # Beginning deep saturation check 0.21/0.42 # Saturate returned empty clause 0x14138e0. 0.21/0.42 # Success 0.21/0.42 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.21/0.42 # SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.21/0.42 # Begin clausification derivation 0.21/0.42 fof(proposition_2_14_3, conjecture, ![X1, X2, X5, X3]:(~(end_point(X3,X1))<=((part_of(X2,X1)&part_of(X5,X1))&meet(X3,X2,X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', proposition_2_14_3)). 0.21/0.42 fof(meet_defn, axiom, ![X3, X1, X2]:(((incident_c(X3,X2)&![X4]:((incident_c(X4,X2)&incident_c(X4,X1))=>(end_point(X4,X1)&end_point(X4,X2))))&incident_c(X3,X1))<=>meet(X3,X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', meet_defn)). 0.21/0.42 fof(sum_defn, axiom, ![X1, X2, X5]:(![X4]:((incident_c(X4,X2)|incident_c(X4,X5))<=>incident_c(X4,X1))<=>sum(X2,X5)=X1), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', sum_defn)). 0.21/0.42 fof(c2, axiom, ![X1, X2, X5, X6]:((((?[X3]:((end_point(X3,X2)&end_point(X3,X5))&end_point(X3,X6))&part_of(X6,X1))&part_of(X5,X1))&part_of(X2,X1))=>(part_of(X2,X5)|part_of(X2,X6)|part_of(X6,X2)|part_of(X5,X2)|part_of(X6,X5)|part_of(X5,X6))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', c2)). 0.21/0.42 fof(c7, axiom, ![X1, X2, X5, X3]:(((closed(X1)&meet(X3,X2,X5))&sum(X2,X5)=X1)=>![X4]:(end_point(X4,X2)=>meet(X4,X2,X5))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', c7)). 0.21/0.42 fof(end_point_defn, axiom, ![X3, X1]:((![X2, X5]:((((part_of(X2,X1)&incident_c(X3,X5))&part_of(X5,X1))&incident_c(X3,X2))=>(part_of(X5,X2)|part_of(X2,X5)))&incident_c(X3,X1))<=>end_point(X3,X1)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', end_point_defn)). 0.21/0.42 fof(c4, axiom, ![X1, X3]:(inner_point(X3,X1)=>?[X2, X5]:(sum(X2,X5)=X1&meet(X3,X2,X5))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', c4)). 0.21/0.42 fof(c9, axiom, ![X1, X2]:(X2=X1<=![X3]:(incident_c(X3,X2)<=>incident_c(X3,X1))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', c9)). 0.21/0.42 fof(c8, axiom, ![X2, X5]:(?[X3]:meet(X3,X2,X5)=>?[X1]:X1=sum(X2,X5)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', c8)). 0.21/0.42 fof(part_of_defn, axiom, ![X1, X2]:(![X3]:(incident_c(X3,X2)=>incident_c(X3,X1))<=>part_of(X2,X1)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', part_of_defn)). 0.21/0.42 fof(c5, axiom, ![X1, X3, X4, X7]:(((end_point(X3,X1)&end_point(X4,X1))&end_point(X7,X1))=>(X4=X7|X3=X7|X4=X3)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', c5)). 0.21/0.42 fof(c6, axiom, ![X1, X3]:(?[X4]:(X4!=X3&end_point(X4,X1))<=end_point(X3,X1)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', c6)). 0.21/0.42 fof(inner_point_defn, axiom, ![X3, X1]:(inner_point(X3,X1)<=>(incident_c(X3,X1)&~(end_point(X3,X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', inner_point_defn)). 0.21/0.42 fof(closed_defn, axiom, ![X1]:(closed(X1)<=>~(?[X3]:end_point(X3,X1))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', closed_defn)). 0.21/0.42 fof(c1, axiom, ![X1, X2]:((part_of(X2,X1)&X2!=X1)=>open(X2)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', c1)). 0.21/0.42 fof(open_defn, axiom, ![X1]:(?[X3]:end_point(X3,X1)<=>open(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', open_defn)). 0.21/0.42 fof(c3, axiom, ![X1]:?[X3]:inner_point(X3,X1), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', c3)). 0.21/0.42 fof(c_0_17, negated_conjecture, ~(![X1, X2, X5, X3]:(~(end_point(X3,X1))<=((part_of(X2,X1)&part_of(X5,X1))&meet(X3,X2,X5)))), inference(assume_negation,[status(cth)],[proposition_2_14_3])). 0.21/0.42 fof(c_0_18, plain, ![X11, X12, X13, X15, X16, X17, X18]:((((incident_c(esk2_3(X11,X12,X13),X13)|~incident_c(X11,X13)|~incident_c(X11,X12)|meet(X11,X12,X13))&(incident_c(esk2_3(X11,X12,X13),X12)|~incident_c(X11,X13)|~incident_c(X11,X12)|meet(X11,X12,X13)))&(~end_point(esk2_3(X11,X12,X13),X12)|~end_point(esk2_3(X11,X12,X13),X13)|~incident_c(X11,X13)|~incident_c(X11,X12)|meet(X11,X12,X13)))&(((incident_c(X15,X17)|~meet(X15,X16,X17))&((end_point(X18,X16)|(~incident_c(X18,X17)|~incident_c(X18,X16))|~meet(X15,X16,X17))&(end_point(X18,X17)|(~incident_c(X18,X17)|~incident_c(X18,X16))|~meet(X15,X16,X17))))&(incident_c(X15,X16)|~meet(X15,X16,X17)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[meet_defn])])])])])])). 0.21/0.42 fof(c_0_19, plain, ![X64, X65, X66, X68, X69, X70, X71, X72]:((((~incident_c(esk11_3(X64,X65,X66),X65)|~incident_c(esk11_3(X64,X65,X66),X64)|sum(X65,X66)=X64)&(~incident_c(esk11_3(X64,X65,X66),X66)|~incident_c(esk11_3(X64,X65,X66),X64)|sum(X65,X66)=X64))&(incident_c(esk11_3(X64,X65,X66),X65)|incident_c(esk11_3(X64,X65,X66),X66)|incident_c(esk11_3(X64,X65,X66),X64)|sum(X65,X66)=X64))&(((~incident_c(X71,X69)|incident_c(X71,X68)|sum(X69,X70)!=X68)&(~incident_c(X71,X70)|incident_c(X71,X68)|sum(X69,X70)!=X68))&(~incident_c(X72,X68)|(incident_c(X72,X69)|incident_c(X72,X70))|sum(X69,X70)!=X68))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_defn])])])])])])). 0.21/0.42 fof(c_0_20, plain, ![X35, X36, X37, X38, X39]:(~end_point(X39,X36)|~end_point(X39,X37)|~end_point(X39,X38)|~part_of(X38,X35)|~part_of(X37,X35)|~part_of(X36,X35)|(part_of(X36,X37)|part_of(X36,X38)|part_of(X38,X36)|part_of(X37,X36)|part_of(X38,X37)|part_of(X37,X38))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c2])])])). 0.21/0.42 fof(c_0_21, plain, ![X46, X47, X48, X49, X50]:(~closed(X46)|~meet(X49,X47,X48)|sum(X47,X48)!=X46|(~end_point(X50,X47)|meet(X50,X47,X48))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c7])])])). 0.21/0.42 fof(c_0_22, plain, ![X27, X28, X31, X32, X33, X34]:((((((part_of(esk6_2(X27,X28),X28)|~incident_c(X27,X28)|end_point(X27,X28))&(incident_c(X27,esk7_2(X27,X28))|~incident_c(X27,X28)|end_point(X27,X28)))&(part_of(esk7_2(X27,X28),X28)|~incident_c(X27,X28)|end_point(X27,X28)))&(incident_c(X27,esk6_2(X27,X28))|~incident_c(X27,X28)|end_point(X27,X28)))&((~part_of(esk7_2(X27,X28),esk6_2(X27,X28))|~incident_c(X27,X28)|end_point(X27,X28))&(~part_of(esk6_2(X27,X28),esk7_2(X27,X28))|~incident_c(X27,X28)|end_point(X27,X28))))&((~part_of(X33,X32)|~incident_c(X31,X34)|~part_of(X34,X32)|~incident_c(X31,X33)|(part_of(X34,X33)|part_of(X33,X34))|~end_point(X31,X32))&(incident_c(X31,X32)|~end_point(X31,X32)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[end_point_defn])])])])])])). 0.21/0.42 fof(c_0_23, plain, ![X23, X24]:((sum(esk4_2(X23,X24),esk5_2(X23,X24))=X23|~inner_point(X24,X23))&(meet(X24,esk4_2(X23,X24),esk5_2(X23,X24))|~inner_point(X24,X23))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c4])])])])). 0.21/0.42 fof(c_0_24, plain, ![X8, X9]:((~incident_c(esk1_2(X8,X9),X9)|~incident_c(esk1_2(X8,X9),X8)|X9=X8)&(incident_c(esk1_2(X8,X9),X9)|incident_c(esk1_2(X8,X9),X8)|X9=X8)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c9])])])])])). 0.21/0.42 fof(c_0_25, plain, ![X19, X20, X21]:(~meet(X21,X19,X20)|esk3_2(X19,X20)=sum(X19,X20)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c8])])])])). 0.21/0.42 fof(c_0_26, plain, ![X58, X59, X61, X62, X63]:(((incident_c(esk10_2(X58,X59),X59)|part_of(X59,X58))&(~incident_c(esk10_2(X58,X59),X58)|part_of(X59,X58)))&(~part_of(X62,X61)|(~incident_c(X63,X62)|incident_c(X63,X61)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[part_of_defn])])])])])])). 0.21/0.42 fof(c_0_27, plain, ![X40, X41, X42, X43]:(~end_point(X41,X40)|~end_point(X42,X40)|~end_point(X43,X40)|(X42=X43|X41=X43|X42=X41)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c5])])). 0.21/0.42 fof(c_0_28, plain, ![X51, X52]:((esk8_2(X51,X52)!=X52|~end_point(X52,X51))&(end_point(esk8_2(X51,X52),X51)|~end_point(X52,X51))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c6])])])])])). 0.21/0.42 fof(c_0_29, plain, ![X79, X80]:(((incident_c(X79,X80)|~inner_point(X79,X80))&(~end_point(X79,X80)|~inner_point(X79,X80)))&(~incident_c(X79,X80)|end_point(X79,X80)|inner_point(X79,X80))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[inner_point_defn])])])])). 0.21/0.42 fof(c_0_30, negated_conjecture, (((part_of(esk15_0,esk14_0)&part_of(esk16_0,esk14_0))&meet(esk17_0,esk15_0,esk16_0))&end_point(esk17_0,esk14_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_17])])])])). 0.21/0.42 fof(c_0_31, plain, ![X54, X55, X56]:((~closed(X54)|~end_point(X55,X54))&(end_point(esk9_1(X56),X56)|closed(X56))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[closed_defn])])])])])). 0.21/0.42 fof(c_0_32, plain, ![X44, X45]:(~part_of(X45,X44)|X45=X44|open(X45)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c1])])). 0.21/0.42 fof(c_0_33, plain, ![X75, X76, X77]:((~end_point(X76,X75)|open(X75))&(~open(X77)|end_point(esk13_1(X77),X77))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[open_defn])])])])])). 0.21/0.42 fof(c_0_34, plain, ![X73]:inner_point(esk12_1(X73),X73), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c3])])). 0.21/0.42 cnf(c_0_35, plain, (meet(X1,X2,X3)|~end_point(esk2_3(X1,X2,X3),X2)|~end_point(esk2_3(X1,X2,X3),X3)|~incident_c(X1,X3)|~incident_c(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_18]), ['final']). 0.21/0.42 cnf(c_0_36, plain, (sum(X2,X3)=X1|~incident_c(esk11_3(X1,X2,X3),X2)|~incident_c(esk11_3(X1,X2,X3),X1)), inference(split_conjunct,[status(thm)],[c_0_19]), ['final']). 0.21/0.42 cnf(c_0_37, plain, (sum(X2,X3)=X1|~incident_c(esk11_3(X1,X2,X3),X3)|~incident_c(esk11_3(X1,X2,X3),X1)), inference(split_conjunct,[status(thm)],[c_0_19]), ['final']). 0.21/0.42 cnf(c_0_38, plain, (incident_c(esk11_3(X1,X2,X3),X2)|incident_c(esk11_3(X1,X2,X3),X3)|incident_c(esk11_3(X1,X2,X3),X1)|sum(X2,X3)=X1), inference(split_conjunct,[status(thm)],[c_0_19]), ['final']). 0.21/0.42 cnf(c_0_39, plain, (part_of(X2,X3)|part_of(X2,X4)|part_of(X4,X2)|part_of(X3,X2)|part_of(X4,X3)|part_of(X3,X4)|~end_point(X1,X2)|~end_point(X1,X3)|~end_point(X1,X4)|~part_of(X4,X5)|~part_of(X3,X5)|~part_of(X2,X5)), inference(split_conjunct,[status(thm)],[c_0_20]), ['final']). 0.21/0.42 cnf(c_0_40, plain, (incident_c(esk2_3(X1,X2,X3),X2)|meet(X1,X2,X3)|~incident_c(X1,X3)|~incident_c(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_18]), ['final']). 0.21/0.42 cnf(c_0_41, plain, (incident_c(esk2_3(X1,X2,X3),X3)|meet(X1,X2,X3)|~incident_c(X1,X3)|~incident_c(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_18]), ['final']). 0.21/0.42 cnf(c_0_42, plain, (meet(X5,X3,X4)|~closed(X1)|~meet(X2,X3,X4)|sum(X3,X4)!=X1|~end_point(X5,X3)), inference(split_conjunct,[status(thm)],[c_0_21]), ['final']). 0.21/0.42 cnf(c_0_43, plain, (end_point(X1,X2)|~incident_c(X1,X3)|~incident_c(X1,X2)|~meet(X4,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_18]), ['final']). 0.21/0.42 cnf(c_0_44, plain, (end_point(X1,X2)|~incident_c(X1,X2)|~incident_c(X1,X3)|~meet(X4,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_18]), ['final']). 0.21/0.42 cnf(c_0_45, plain, (part_of(X4,X1)|part_of(X1,X4)|~part_of(X1,X2)|~incident_c(X3,X4)|~part_of(X4,X2)|~incident_c(X3,X1)|~end_point(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_22]), ['final']). 0.21/0.42 cnf(c_0_46, plain, (end_point(X1,X2)|~part_of(esk7_2(X1,X2),esk6_2(X1,X2))|~incident_c(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_22]), ['final']). 0.21/0.42 cnf(c_0_47, plain, (end_point(X1,X2)|~part_of(esk6_2(X1,X2),esk7_2(X1,X2))|~incident_c(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_22]), ['final']). 0.21/0.42 cnf(c_0_48, plain, (meet(X1,esk4_2(X2,X1),esk5_2(X2,X1))|~inner_point(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_23]), ['final']). 0.21/0.42 cnf(c_0_49, plain, (X2=X1|~incident_c(esk1_2(X1,X2),X2)|~incident_c(esk1_2(X1,X2),X1)), inference(split_conjunct,[status(thm)],[c_0_24]), ['final']). 0.21/0.42 cnf(c_0_50, plain, (esk3_2(X2,X3)=sum(X2,X3)|~meet(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_25]), ['final']). 0.21/0.42 cnf(c_0_51, plain, (incident_c(X1,X2)|~meet(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_18]), ['final']). 0.21/0.42 cnf(c_0_52, plain, (incident_c(X1,X2)|~meet(X1,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_18]), ['final']). 0.21/0.42 cnf(c_0_53, plain, (sum(esk4_2(X1,X2),esk5_2(X1,X2))=X1|~inner_point(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_23]), ['final']). 0.21/0.42 cnf(c_0_54, plain, (incident_c(esk1_2(X1,X2),X2)|incident_c(esk1_2(X1,X2),X1)|X2=X1), inference(split_conjunct,[status(thm)],[c_0_24]), ['final']). 0.21/0.42 cnf(c_0_55, plain, (part_of(X2,X1)|~incident_c(esk10_2(X1,X2),X1)), inference(split_conjunct,[status(thm)],[c_0_26]), ['final']). 0.21/0.42 cnf(c_0_56, plain, (part_of(esk7_2(X1,X2),X2)|end_point(X1,X2)|~incident_c(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_22]), ['final']). 0.21/0.42 cnf(c_0_57, plain, (part_of(esk6_2(X1,X2),X2)|end_point(X1,X2)|~incident_c(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_22]), ['final']). 0.21/0.42 cnf(c_0_58, plain, (incident_c(X1,esk7_2(X1,X2))|end_point(X1,X2)|~incident_c(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_22]), ['final']). 0.21/0.42 cnf(c_0_59, plain, (incident_c(X1,esk6_2(X1,X2))|end_point(X1,X2)|~incident_c(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_22]), ['final']). 0.21/0.42 cnf(c_0_60, plain, (incident_c(X1,X3)|incident_c(X1,X4)|~incident_c(X1,X2)|sum(X3,X4)!=X2), inference(split_conjunct,[status(thm)],[c_0_19]), ['final']). 0.21/0.42 cnf(c_0_61, plain, (X3=X4|X1=X4|X3=X1|~end_point(X1,X2)|~end_point(X3,X2)|~end_point(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_27]), ['final']). 0.21/0.42 cnf(c_0_62, plain, (end_point(esk8_2(X1,X2),X1)|~end_point(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_28]), ['final']). 0.21/0.42 cnf(c_0_63, plain, (incident_c(X1,X3)|~incident_c(X1,X2)|sum(X2,X4)!=X3), inference(split_conjunct,[status(thm)],[c_0_19]), ['final']). 0.21/0.42 cnf(c_0_64, plain, (incident_c(X1,X3)|~incident_c(X1,X2)|sum(X4,X2)!=X3), inference(split_conjunct,[status(thm)],[c_0_19]), ['final']). 0.21/0.42 cnf(c_0_65, plain, (incident_c(X3,X2)|~part_of(X1,X2)|~incident_c(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_26]), ['final']). 0.21/0.42 cnf(c_0_66, plain, (incident_c(esk10_2(X1,X2),X2)|part_of(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_26]), ['final']). 0.21/0.42 cnf(c_0_67, plain, (end_point(X1,X2)|inner_point(X1,X2)|~incident_c(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_29]), ['final']). 0.21/0.42 cnf(c_0_68, negated_conjecture, (meet(esk17_0,esk15_0,esk16_0)), inference(split_conjunct,[status(thm)],[c_0_30]), ['final']). 0.21/0.42 cnf(c_0_69, plain, (esk8_2(X1,X2)!=X2|~end_point(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_28]), ['final']). 0.21/0.42 cnf(c_0_70, plain, (~end_point(X1,X2)|~inner_point(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_29]), ['final']). 0.21/0.42 cnf(c_0_71, plain, (incident_c(X1,X2)|~inner_point(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_29]), ['final']). 0.21/0.42 cnf(c_0_72, plain, (incident_c(X1,X2)|~end_point(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_22]), ['final']). 0.21/0.42 cnf(c_0_73, plain, (~closed(X1)|~end_point(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_31]), ['final']). 0.21/0.42 cnf(c_0_74, plain, (X1=X2|open(X1)|~part_of(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_32]), ['final']). 0.21/0.42 cnf(c_0_75, plain, (end_point(esk13_1(X1),X1)|~open(X1)), inference(split_conjunct,[status(thm)],[c_0_33]), ['final']). 0.21/0.42 cnf(c_0_76, plain, (open(X2)|~end_point(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_33]), ['final']). 0.21/0.42 cnf(c_0_77, plain, (end_point(esk9_1(X1),X1)|closed(X1)), inference(split_conjunct,[status(thm)],[c_0_31]), ['final']). 0.21/0.42 cnf(c_0_78, plain, (inner_point(esk12_1(X1),X1)), inference(split_conjunct,[status(thm)],[c_0_34]), ['final']). 0.21/0.42 cnf(c_0_79, negated_conjecture, (part_of(esk16_0,esk14_0)), inference(split_conjunct,[status(thm)],[c_0_30]), ['final']). 0.21/0.42 cnf(c_0_80, negated_conjecture, (part_of(esk15_0,esk14_0)), inference(split_conjunct,[status(thm)],[c_0_30]), ['final']). 0.21/0.42 cnf(c_0_81, negated_conjecture, (end_point(esk17_0,esk14_0)), inference(split_conjunct,[status(thm)],[c_0_30]), ['final']). 0.21/0.42 0.21/0.42 # End clausification derivation 0.21/0.42 # Begin listing active clauses obtained from FOF to CNF conversion 0.21/0.42 cnf(i_0_44, negated_conjecture, (end_point(esk17_0,esk14_0))). 0.21/0.42 cnf(i_0_47, negated_conjecture, (part_of(esk15_0,esk14_0))). 0.21/0.42 cnf(i_0_46, negated_conjecture, (part_of(esk16_0,esk14_0))). 0.21/0.42 cnf(i_0_38, plain, (inner_point(esk12_1(X1),X1))). 0.21/0.42 cnf(i_0_27, plain, (closed(X1)|end_point(esk9_1(X1),X1))). 0.21/0.42 cnf(i_0_40, plain, (open(X2)|~end_point(X1,X2))). 0.21/0.42 cnf(i_0_39, plain, (end_point(esk13_1(X1),X1)|~open(X1))). 0.21/0.42 cnf(i_0_23, plain, (X1=X2|open(X1)|~part_of(X1,X2))). 0.21/0.42 cnf(i_0_28, plain, (~closed(X1)|~end_point(X2,X1))). 0.21/0.42 cnf(i_0_13, plain, (incident_c(X1,X2)|~end_point(X1,X2))). 0.21/0.42 cnf(i_0_43, plain, (incident_c(X1,X2)|~inner_point(X1,X2))). 0.21/0.42 cnf(i_0_42, plain, (~end_point(X1,X2)|~inner_point(X1,X2))). 0.21/0.42 cnf(i_0_26, plain, (esk8_2(X1,X2)!=X2|~end_point(X2,X1))). 0.21/0.42 cnf(i_0_45, negated_conjecture, (meet(esk17_0,esk15_0,esk16_0))). 0.21/0.42 cnf(i_0_41, plain, (end_point(X1,X2)|inner_point(X1,X2)|~incident_c(X1,X2))). 0.21/0.42 cnf(i_0_31, plain, (part_of(X2,X1)|incident_c(esk10_2(X1,X2),X2))). 0.21/0.42 cnf(i_0_29, plain, (incident_c(X3,X2)|~incident_c(X3,X1)|~part_of(X1,X2))). 0.21/0.42 cnf(i_0_33, plain, (incident_c(X1,X3)|sum(X4,X2)!=X3|~incident_c(X1,X2))). 0.21/0.42 cnf(i_0_34, plain, (incident_c(X1,X3)|sum(X2,X4)!=X3|~incident_c(X1,X2))). 0.21/0.42 cnf(i_0_25, plain, (end_point(esk8_2(X1,X2),X1)|~end_point(X2,X1))). 0.21/0.42 cnf(i_0_22, plain, (X3=X4|X1=X4|X1=X3|~end_point(X4,X2)|~end_point(X3,X2)|~end_point(X1,X2))). 0.21/0.42 cnf(i_0_32, plain, (incident_c(X1,X4)|incident_c(X1,X3)|sum(X3,X4)!=X2|~incident_c(X1,X2))). 0.21/0.42 cnf(i_0_17, plain, (end_point(X1,X2)|incident_c(X1,esk6_2(X1,X2))|~incident_c(X1,X2))). 0.21/0.42 cnf(i_0_19, plain, (end_point(X1,X2)|incident_c(X1,esk7_2(X1,X2))|~incident_c(X1,X2))). 0.21/0.42 cnf(i_0_20, plain, (end_point(X1,X2)|part_of(esk6_2(X1,X2),X2)|~incident_c(X1,X2))). 0.21/0.42 cnf(i_0_18, plain, (end_point(X1,X2)|part_of(esk7_2(X1,X2),X2)|~incident_c(X1,X2))). 0.21/0.42 cnf(i_0_30, plain, (part_of(X2,X1)|~incident_c(esk10_2(X1,X2),X1))). 0.21/0.42 cnf(i_0_1, plain, (X1=X2|incident_c(esk1_2(X1,X2),X2)|incident_c(esk1_2(X1,X2),X1))). 0.21/0.42 cnf(i_0_12, plain, (sum(esk4_2(X1,X2),esk5_2(X1,X2))=X1|~inner_point(X2,X1))). 0.21/0.42 cnf(i_0_6, plain, (incident_c(X1,X2)|~meet(X1,X3,X2))). 0.21/0.42 cnf(i_0_3, plain, (incident_c(X1,X2)|~meet(X1,X2,X3))). 0.21/0.42 cnf(i_0_10, plain, (esk3_2(X2,X3)=sum(X2,X3)|~meet(X1,X2,X3))). 0.21/0.42 cnf(i_0_2, plain, (X1=X2|~incident_c(esk1_2(X1,X2),X2)|~incident_c(esk1_2(X1,X2),X1))). 0.21/0.42 cnf(i_0_11, plain, (meet(X1,esk4_2(X2,X1),esk5_2(X2,X1))|~inner_point(X1,X2))). 0.21/0.42 cnf(i_0_15, plain, (end_point(X1,X2)|~incident_c(X1,X2)|~part_of(esk6_2(X1,X2),esk7_2(X1,X2)))). 0.21/0.42 cnf(i_0_16, plain, (end_point(X1,X2)|~incident_c(X1,X2)|~part_of(esk7_2(X1,X2),esk6_2(X1,X2)))). 0.21/0.42 cnf(i_0_14, plain, (part_of(X4,X1)|part_of(X1,X4)|~incident_c(X3,X4)|~incident_c(X3,X1)|~end_point(X3,X2)|~part_of(X4,X2)|~part_of(X1,X2))). 0.21/0.42 cnf(i_0_4, plain, (end_point(X1,X2)|~incident_c(X1,X3)|~incident_c(X1,X2)|~meet(X4,X3,X2))). 0.21/0.42 cnf(i_0_5, plain, (end_point(X1,X2)|~incident_c(X1,X3)|~incident_c(X1,X2)|~meet(X4,X2,X3))). 0.21/0.42 cnf(i_0_24, plain, (meet(X5,X3,X4)|sum(X3,X4)!=X1|~closed(X1)|~end_point(X5,X3)|~meet(X2,X3,X4))). 0.21/0.42 cnf(i_0_9, plain, (meet(X1,X2,X3)|incident_c(esk2_3(X1,X2,X3),X3)|~incident_c(X1,X3)|~incident_c(X1,X2))). 0.21/0.42 cnf(i_0_8, plain, (meet(X1,X2,X3)|incident_c(esk2_3(X1,X2,X3),X2)|~incident_c(X1,X3)|~incident_c(X1,X2))). 0.21/0.42 cnf(i_0_21, plain, (part_of(X4,X3)|part_of(X4,X2)|part_of(X3,X4)|part_of(X3,X2)|part_of(X2,X4)|part_of(X2,X3)|~end_point(X1,X4)|~end_point(X1,X3)|~end_point(X1,X2)|~part_of(X4,X5)|~part_of(X3,X5)|~part_of(X2,X5))). 0.21/0.42 cnf(i_0_35, plain, (sum(X2,X3)=X1|incident_c(esk11_3(X1,X2,X3),X3)|incident_c(esk11_3(X1,X2,X3),X2)|incident_c(esk11_3(X1,X2,X3),X1))). 0.21/0.42 cnf(i_0_36, plain, (sum(X2,X3)=X1|~incident_c(esk11_3(X1,X2,X3),X3)|~incident_c(esk11_3(X1,X2,X3),X1))). 0.21/0.42 cnf(i_0_37, plain, (sum(X2,X3)=X1|~incident_c(esk11_3(X1,X2,X3),X2)|~incident_c(esk11_3(X1,X2,X3),X1))). 0.21/0.42 cnf(i_0_7, plain, (meet(X1,X2,X3)|~incident_c(X1,X3)|~incident_c(X1,X2)|~end_point(esk2_3(X1,X2,X3),X3)|~end_point(esk2_3(X1,X2,X3),X2))). 0.21/0.42 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 0.21/0.42 # Begin printing tableau 0.21/0.42 # 2,0,0,0 c s 0.21/0.42 cnf(i_0_116, plain, (incident_c(esk17_0,esk16_0))). 0.21/0.42 # 1,2,6,0 0.21/0.42 cnf(i_0_48, plain, (meet(esk17_0,esk15_0,esk16_0))). 0.21/0.42 # 0,1,45,0 0.21/0.42 cnf(i_0_45, watchlist, (meet(esk17_0,esk15_0,esk16_0))). 0.21/0.42 0.21/0.42 # 2,0,0,1 x c 0.21/0.42 cnf(i_0_117, plain, (~meet(esk17_0,esk15_0,esk16_0))). 0.21/0.42 # 1,2,6,0 0.21/0.42 cnf(i_0_48, plain, (meet(esk17_0,esk15_0,esk16_0))). 0.21/0.42 # 0,1,45,0 0.21/0.42 cnf(i_0_45, watchlist, (meet(esk17_0,esk15_0,esk16_0))). 0.21/0.42 0.21/0.42 # End printing tableau 0.21/0.42 # SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.21/0.42 # Branches closed with saturation will be marked with an "s" 0.21/0.42 # Proof search success! 0.21/0.42 # Exiting... 0.21/0.42 EOF