0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : eprover --auto -s --tableau=1 [--tableau-equality=1] --tableau-depth=10 %s 0.12/0.33 % Computer : n017.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Thu Jul 2 06:45:21 EDT 2020 0.12/0.34 % CPUTime : 0.12/0.35 % Running in FOF/CNF-non-UEQ mode 0.20/0.38 # No SInE strategy applied 0.20/0.38 # Auto-Mode selected heuristic G_E___107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S 0.20/0.38 # and selection function SelectNewComplexAHPNS. 0.20/0.38 # 0.20/0.38 # Presaturation interreduction done 0.20/0.38 # Number of axioms: 64 Number of unprocessed: 41 0.20/0.38 # Tableaux proof search. 0.20/0.38 # 41 beginning clauses after preprocessing and clausification 0.20/0.38 # Creating start rules for all conjectures. 0.20/0.38 # 17 unit axioms, 6 start rules, and 24 other extension candidates. 0.20/0.38 ####### Beginning tableaux proof search with 6 start rule applications. 0.49/0.68 # Beginning deep saturation check 0.49/0.68 # Saturate returned empty clause 0x457b970. 0.49/0.68 # Success 0.49/0.68 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.49/0.68 # SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.49/0.68 # Begin clausification derivation 0.49/0.68 fof(oaguc1, axiom, ![X3, X5, X1, X2]:((left_apart_point(X5,X1)|left_apart_point(X5,reverse_line(X1))|left_apart_point(X3,reverse_line(X1))|left_apart_point(X5,X2)|left_apart_point(X3,X1)|left_apart_point(X5,reverse_line(X2))|left_apart_point(X3,reverse_line(X2))|left_apart_point(X3,X2))<=(distinct_points(X3,X5)&distinct_lines(X1,X2))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oaguc1)). 0.49/0.68 fof(oag10, axiom, ![X3, X1]:~((left_apart_point(X3,reverse_line(X1))|left_apart_point(X3,X1))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oag10)). 0.49/0.68 fof(bf_def, axiom, ![X1, X3, X5]:(before_on_line(X1,X3,X5)<=>(((~((left_apart_point(X3,X1)|left_apart_point(X3,reverse_line(X1))))&~((left_apart_point(X5,X1)|left_apart_point(X5,reverse_line(X1)))))&~(unequally_directed_lines(X1,line_connecting(X3,X5))))&distinct_points(X3,X5))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', bf_def)). 0.49/0.68 fof(oag9, axiom, ![X1, X2]:((left_convergent_lines(X1,reverse_line(X2))|left_convergent_lines(X1,X2))<=(unequally_directed_lines(X1,X2)&unequally_directed_lines(X1,reverse_line(X2)))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oag9)). 0.49/0.68 fof(oag11, axiom, ![X1, X2]:~((left_convergent_lines(X1,reverse_line(X2))|left_convergent_lines(X1,X2))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oag11)). 0.49/0.68 fof(apt_def, axiom, ![X3, X1]:((left_apart_point(X3,reverse_line(X1))|left_apart_point(X3,X1))<=>apart_point_and_line(X3,X1)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', apt_def)). 0.49/0.68 fof(div_def, axiom, ![X3, X5, X1]:(((left_apart_point(X5,reverse_line(X1))&left_apart_point(X3,X1))|(left_apart_point(X3,reverse_line(X1))&left_apart_point(X5,X1)))<=>divides_points(X1,X3,X5)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', div_def)). 0.49/0.68 fof(con, conjecture, ![X1, X3, X5, X6]:((((distinct_points(X3,X6)&distinct_points(X5,X6))&distinct_points(X3,X5))&line(X1))=>~((between_on_line(X1,X3,X5,X6)&between_on_line(X1,X5,X3,X6)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)). 0.49/0.68 fof(bet_def, axiom, ![X1, X3, X5, X6]:(between_on_line(X1,X3,X5,X6)<=>((before_on_line(X1,X5,X6)&before_on_line(X1,X3,X5))|(before_on_line(X1,X6,X5)&before_on_line(X1,X5,X3)))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', bet_def)). 0.49/0.68 fof(oag4, axiom, ![X1, X2, X4]:((distinct_lines(X1,X4)|distinct_lines(X2,X4))<=distinct_lines(X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oag4)). 0.49/0.68 fof(oag6, axiom, ![X1, X2, X4]:(unequally_directed_lines(X1,X2)=>(unequally_directed_lines(X1,X4)|unequally_directed_lines(X2,X4))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oag6)). 0.49/0.68 fof(oagco1, axiom, ![X3, X5]:(((point(X5)&distinct_points(X3,X5))&point(X3))=>line(line_connecting(X3,X5))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oagco1)). 0.49/0.68 fof(oagco5, axiom, ![X3, X5]:(distinct_points(X3,X5)=>(~(apart_point_and_line(X3,line_connecting(X3,X5)))&~(apart_point_and_line(X5,line_connecting(X3,X5))))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oagco5)). 0.49/0.68 fof(oag8, axiom, ![X1, X2]:((unequally_directed_lines(X1,reverse_line(X2))|unequally_directed_lines(X1,X2))<=(line(X2)&line(X1))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oag8)). 0.49/0.68 fof(con_def, axiom, ![X1, X2]:(convergent_lines(X1,X2)<=>(unequally_directed_lines(X1,reverse_line(X2))&unequally_directed_lines(X1,X2))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', con_def)). 0.49/0.68 fof(oagco3, axiom, ![X1, X3]:((point(X3)&line(X1))=>line(parallel_through_point(X1,X3))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oagco3)). 0.49/0.68 fof(oag2, axiom, ![X3, X5, X6]:(distinct_points(X3,X5)=>(distinct_points(X3,X6)|distinct_points(X5,X6))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oag2)). 0.49/0.68 fof(oagco4, axiom, ![X1]:(line(reverse_line(X1))<=line(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oagco4)). 0.49/0.68 fof(oagco9, axiom, ![X3, X5]:~(unequally_directed_lines(line_connecting(X3,X5),reverse_line(line_connecting(X5,X3)))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oagco9)). 0.49/0.68 fof(oagco10, axiom, ![X3, X1]:~(unequally_directed_lines(parallel_through_point(X1,X3),X1)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oagco10)). 0.49/0.68 fof(oagco7, axiom, ![X3, X1]:~(apart_point_and_line(X3,parallel_through_point(X1,X3))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oagco7)). 0.49/0.68 fof(oagco8, axiom, ![X1]:~(distinct_lines(X1,reverse_line(X1))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oagco8)). 0.49/0.68 fof(oag3, axiom, ![X1]:~(distinct_lines(X1,X1)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oag3)). 0.49/0.68 fof(oag1, axiom, ![X3]:~(distinct_points(X3,X3)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oag1)). 0.49/0.68 fof(oag5, axiom, ![X1]:~(unequally_directed_lines(X1,X1)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oag5)). 0.49/0.68 fof(c_0_25, plain, ![X70, X71, X72, X73]:(~distinct_points(X70,X71)|~distinct_lines(X72,X73)|(left_apart_point(X71,X72)|left_apart_point(X71,reverse_line(X72))|left_apart_point(X70,reverse_line(X72))|left_apart_point(X71,X73)|left_apart_point(X70,X72)|left_apart_point(X71,reverse_line(X73))|left_apart_point(X70,reverse_line(X73))|left_apart_point(X70,X73))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[oaguc1])])])). 0.49/0.68 fof(c_0_26, plain, ![X44, X45]:(~left_apart_point(X44,reverse_line(X45))&~left_apart_point(X44,X45)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag10])])). 0.49/0.68 fof(c_0_27, plain, ![X59, X60, X61]:((((((~left_apart_point(X60,X59)|~before_on_line(X59,X60,X61))&(~left_apart_point(X60,reverse_line(X59))|~before_on_line(X59,X60,X61)))&((~left_apart_point(X61,X59)|~before_on_line(X59,X60,X61))&(~left_apart_point(X61,reverse_line(X59))|~before_on_line(X59,X60,X61))))&(~unequally_directed_lines(X59,line_connecting(X60,X61))|~before_on_line(X59,X60,X61)))&(distinct_points(X60,X61)|~before_on_line(X59,X60,X61)))&(left_apart_point(X60,X59)|left_apart_point(X60,reverse_line(X59))|(left_apart_point(X61,X59)|left_apart_point(X61,reverse_line(X59)))|unequally_directed_lines(X59,line_connecting(X60,X61))|~distinct_points(X60,X61)|before_on_line(X59,X60,X61))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[bf_def])])])])). 0.49/0.68 fof(c_0_28, plain, ![X34, X35]:(~unequally_directed_lines(X34,X35)|~unequally_directed_lines(X34,reverse_line(X35))|(left_convergent_lines(X34,reverse_line(X35))|left_convergent_lines(X34,X35))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[oag9])])])). 0.49/0.68 fof(c_0_29, plain, ![X12, X13]:(~left_convergent_lines(X12,reverse_line(X13))&~left_convergent_lines(X12,X13)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag11])])). 0.49/0.68 fof(c_0_30, plain, ![X14, X15]:(((~left_apart_point(X14,reverse_line(X15))|apart_point_and_line(X14,X15))&(~left_apart_point(X14,X15)|apart_point_and_line(X14,X15)))&(~apart_point_and_line(X14,X15)|(left_apart_point(X14,reverse_line(X15))|left_apart_point(X14,X15)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[apt_def])])])). 0.49/0.68 fof(c_0_31, plain, ![X56, X57, X58]:(((~left_apart_point(X57,reverse_line(X58))|~left_apart_point(X56,X58)|divides_points(X58,X56,X57))&(~left_apart_point(X56,reverse_line(X58))|~left_apart_point(X57,X58)|divides_points(X58,X56,X57)))&(((left_apart_point(X56,reverse_line(X58))|left_apart_point(X57,reverse_line(X58))|~divides_points(X58,X56,X57))&(left_apart_point(X57,X58)|left_apart_point(X57,reverse_line(X58))|~divides_points(X58,X56,X57)))&((left_apart_point(X56,reverse_line(X58))|left_apart_point(X56,X58)|~divides_points(X58,X56,X57))&(left_apart_point(X57,X58)|left_apart_point(X56,X58)|~divides_points(X58,X56,X57))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[div_def])])])). 0.49/0.68 fof(c_0_32, negated_conjecture, ~(![X1, X3, X5, X6]:((((distinct_points(X3,X6)&distinct_points(X5,X6))&distinct_points(X3,X5))&line(X1))=>~((between_on_line(X1,X3,X5,X6)&between_on_line(X1,X5,X3,X6))))), inference(assume_negation,[status(cth)],[con])). 0.49/0.68 fof(c_0_33, plain, (~epred2_0<=>![X3, X4]:~distinct_lines(X3,X4)), introduced(definition)). 0.49/0.68 fof(c_0_34, plain, (~epred1_0<=>![X1, X2]:~distinct_points(X1,X2)), introduced(definition)). 0.49/0.68 cnf(c_0_35, plain, (left_apart_point(X2,X3)|left_apart_point(X2,reverse_line(X3))|left_apart_point(X1,reverse_line(X3))|left_apart_point(X2,X4)|left_apart_point(X1,X3)|left_apart_point(X2,reverse_line(X4))|left_apart_point(X1,reverse_line(X4))|left_apart_point(X1,X4)|~distinct_points(X1,X2)|~distinct_lines(X3,X4)), inference(split_conjunct,[status(thm)],[c_0_25])). 0.49/0.68 cnf(c_0_36, plain, (~left_apart_point(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_26]), ['final']). 0.49/0.68 cnf(c_0_37, plain, (left_apart_point(X1,X2)|left_apart_point(X1,reverse_line(X2))|left_apart_point(X3,X2)|left_apart_point(X3,reverse_line(X2))|unequally_directed_lines(X2,line_connecting(X1,X3))|before_on_line(X2,X1,X3)|~distinct_points(X1,X3)), inference(split_conjunct,[status(thm)],[c_0_27])). 0.49/0.68 cnf(c_0_38, plain, (left_convergent_lines(X1,reverse_line(X2))|left_convergent_lines(X1,X2)|~unequally_directed_lines(X1,X2)|~unequally_directed_lines(X1,reverse_line(X2))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.49/0.68 cnf(c_0_39, plain, (~left_convergent_lines(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_29]), ['final']). 0.49/0.68 fof(c_0_40, plain, ![X19, X20, X21, X22]:((((before_on_line(X19,X22,X21)|before_on_line(X19,X21,X22)|~between_on_line(X19,X20,X21,X22))&(before_on_line(X19,X21,X20)|before_on_line(X19,X21,X22)|~between_on_line(X19,X20,X21,X22)))&((before_on_line(X19,X22,X21)|before_on_line(X19,X20,X21)|~between_on_line(X19,X20,X21,X22))&(before_on_line(X19,X21,X20)|before_on_line(X19,X20,X21)|~between_on_line(X19,X20,X21,X22))))&((~before_on_line(X19,X21,X22)|~before_on_line(X19,X20,X21)|between_on_line(X19,X20,X21,X22))&(~before_on_line(X19,X22,X21)|~before_on_line(X19,X21,X20)|between_on_line(X19,X20,X21,X22)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[bet_def])])])). 0.49/0.68 fof(c_0_41, plain, ![X16, X17, X18]:(~distinct_lines(X16,X17)|(distinct_lines(X16,X18)|distinct_lines(X17,X18))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[oag4])])])). 0.49/0.68 fof(c_0_42, plain, ![X31, X32, X33]:(~unequally_directed_lines(X31,X32)|(unequally_directed_lines(X31,X33)|unequally_directed_lines(X32,X33))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag6])])). 0.49/0.68 fof(c_0_43, plain, ![X51, X52]:(~point(X52)|~distinct_points(X51,X52)|~point(X51)|line(line_connecting(X51,X52))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oagco1])])). 0.49/0.68 fof(c_0_44, plain, ![X39, X40]:((~apart_point_and_line(X39,line_connecting(X39,X40))|~distinct_points(X39,X40))&(~apart_point_and_line(X40,line_connecting(X39,X40))|~distinct_points(X39,X40))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[oagco5])])])])). 0.49/0.68 fof(c_0_45, plain, ![X29, X30]:(~line(X30)|~line(X29)|(unequally_directed_lines(X29,reverse_line(X30))|unequally_directed_lines(X29,X30))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[oag8])])])). 0.49/0.68 fof(c_0_46, plain, ![X49, X50]:(((unequally_directed_lines(X49,reverse_line(X50))|~convergent_lines(X49,X50))&(unequally_directed_lines(X49,X50)|~convergent_lines(X49,X50)))&(~unequally_directed_lines(X49,reverse_line(X50))|~unequally_directed_lines(X49,X50)|convergent_lines(X49,X50))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[con_def])])])). 0.49/0.68 fof(c_0_47, plain, ![X76, X77]:(~point(X77)|~line(X76)|line(parallel_through_point(X76,X77))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oagco3])])). 0.49/0.68 fof(c_0_48, plain, ![X36, X37, X38]:(~distinct_points(X36,X37)|(distinct_points(X36,X38)|distinct_points(X37,X38))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag2])])). 0.49/0.68 fof(c_0_49, plain, ![X28]:(~line(X28)|line(reverse_line(X28))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[oagco4])])])). 0.49/0.68 cnf(c_0_50, plain, (left_apart_point(X1,reverse_line(X2))|left_apart_point(X1,X2)|~apart_point_and_line(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_30])). 0.49/0.68 fof(c_0_51, plain, ![X53, X54]:~unequally_directed_lines(line_connecting(X53,X54),reverse_line(line_connecting(X54,X53))), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[oagco9])])). 0.49/0.68 cnf(c_0_52, plain, (left_apart_point(X1,X2)|left_apart_point(X3,X2)|~divides_points(X2,X3,X1)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.49/0.68 fof(c_0_53, plain, ![X68, X69]:~unequally_directed_lines(parallel_through_point(X69,X68),X69), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[oagco10])])). 0.49/0.68 fof(c_0_54, plain, ![X74, X75]:~apart_point_and_line(X74,parallel_through_point(X75,X74)), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[oagco7])])). 0.49/0.68 fof(c_0_55, plain, ![X24]:~distinct_lines(X24,reverse_line(X24)), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[oagco8])])). 0.49/0.68 fof(c_0_56, plain, ![X23]:~distinct_lines(X23,X23), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[oag3])])). 0.49/0.68 fof(c_0_57, plain, ![X55]:~distinct_points(X55,X55), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[oag1])])). 0.49/0.68 fof(c_0_58, plain, ![X41]:~unequally_directed_lines(X41,X41), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[oag5])])). 0.49/0.68 fof(c_0_59, negated_conjecture, ((((distinct_points(esk2_0,esk4_0)&distinct_points(esk3_0,esk4_0))&distinct_points(esk2_0,esk3_0))&line(esk1_0))&(between_on_line(esk1_0,esk2_0,esk3_0,esk4_0)&between_on_line(esk1_0,esk3_0,esk2_0,esk4_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])). 0.49/0.68 cnf(c_0_60, plain, (epred2_0|~distinct_lines(X1,X2)), inference(split_equiv,[status(thm)],[c_0_33]), ['final']). 0.49/0.68 cnf(c_0_61, plain, (epred1_0|~distinct_points(X1,X2)), inference(split_equiv,[status(thm)],[c_0_34]), ['final']). 0.49/0.68 cnf(c_0_62, plain, (~epred2_0|~epred1_0), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_35, c_0_36]), c_0_36]), c_0_36]), c_0_36]), c_0_36]), c_0_36]), c_0_36]), c_0_36]), c_0_34]), c_0_33]), ['final']). 0.49/0.68 cnf(c_0_63, plain, (before_on_line(X1,X2,X3)|unequally_directed_lines(X1,line_connecting(X2,X3))|~distinct_points(X2,X3)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_37, c_0_36]), c_0_36]), c_0_36]), c_0_36]), ['final']). 0.49/0.68 cnf(c_0_64, plain, (~unequally_directed_lines(X1,reverse_line(X2))|~unequally_directed_lines(X1,X2)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_38, c_0_39]), c_0_39]), ['final']). 0.49/0.68 cnf(c_0_65, plain, (before_on_line(X1,X2,X3)|before_on_line(X1,X2,X4)|~between_on_line(X1,X3,X2,X4)), inference(split_conjunct,[status(thm)],[c_0_40]), ['final']). 0.49/0.68 cnf(c_0_66, plain, (before_on_line(X1,X2,X3)|before_on_line(X1,X3,X2)|~between_on_line(X1,X3,X2,X4)), inference(split_conjunct,[status(thm)],[c_0_40]), ['final']). 0.49/0.68 cnf(c_0_67, plain, (distinct_lines(X1,X3)|distinct_lines(X2,X3)|~distinct_lines(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_41]), ['final']). 0.49/0.68 cnf(c_0_68, plain, (before_on_line(X1,X2,X3)|before_on_line(X1,X3,X2)|~between_on_line(X1,X4,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_40]), ['final']). 0.49/0.68 cnf(c_0_69, plain, (before_on_line(X1,X2,X3)|before_on_line(X1,X4,X3)|~between_on_line(X1,X4,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_40]), ['final']). 0.49/0.68 cnf(c_0_70, plain, (between_on_line(X1,X4,X2,X3)|~before_on_line(X1,X2,X3)|~before_on_line(X1,X4,X2)), inference(split_conjunct,[status(thm)],[c_0_40]), ['final']). 0.49/0.68 cnf(c_0_71, plain, (between_on_line(X1,X4,X3,X2)|~before_on_line(X1,X2,X3)|~before_on_line(X1,X3,X4)), inference(split_conjunct,[status(thm)],[c_0_40]), ['final']). 0.49/0.68 cnf(c_0_72, plain, (~unequally_directed_lines(X1,line_connecting(X2,X3))|~before_on_line(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_27]), ['final']). 0.49/0.68 cnf(c_0_73, plain, (unequally_directed_lines(X1,X3)|unequally_directed_lines(X2,X3)|~unequally_directed_lines(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_42]), ['final']). 0.49/0.68 cnf(c_0_74, plain, (line(line_connecting(X2,X1))|~point(X1)|~distinct_points(X2,X1)|~point(X2)), inference(split_conjunct,[status(thm)],[c_0_43]), ['final']). 0.49/0.68 cnf(c_0_75, plain, (~apart_point_and_line(X1,line_connecting(X1,X2))|~distinct_points(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_44]), ['final']). 0.49/0.68 cnf(c_0_76, plain, (~apart_point_and_line(X1,line_connecting(X2,X1))|~distinct_points(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_44]), ['final']). 0.49/0.68 cnf(c_0_77, plain, (unequally_directed_lines(X2,reverse_line(X1))|unequally_directed_lines(X2,X1)|~line(X1)|~line(X2)), inference(split_conjunct,[status(thm)],[c_0_45]), ['final']). 0.49/0.68 cnf(c_0_78, plain, (unequally_directed_lines(X1,reverse_line(X2))|~convergent_lines(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_46]), ['final']). 0.49/0.68 cnf(c_0_79, plain, (distinct_points(X1,X2)|~before_on_line(X3,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_27]), ['final']). 0.49/0.68 cnf(c_0_80, plain, (line(parallel_through_point(X2,X1))|~point(X1)|~line(X2)), inference(split_conjunct,[status(thm)],[c_0_47]), ['final']). 0.49/0.68 cnf(c_0_81, plain, (unequally_directed_lines(X1,X2)|~convergent_lines(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_46]), ['final']). 0.49/0.68 cnf(c_0_82, plain, (distinct_points(X1,X3)|distinct_points(X2,X3)|~distinct_points(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_48]), ['final']). 0.49/0.68 cnf(c_0_83, plain, (line(reverse_line(X1))|~line(X1)), inference(split_conjunct,[status(thm)],[c_0_49]), ['final']). 0.49/0.68 cnf(c_0_84, plain, (~apart_point_and_line(X1,X2)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_50, c_0_36]), c_0_36]), ['final']). 0.49/0.68 cnf(c_0_85, plain, (~unequally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_51]), ['final']). 0.49/0.68 cnf(c_0_86, plain, (~divides_points(X1,X2,X3)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_52, c_0_36]), c_0_36]), ['final']). 0.49/0.68 cnf(c_0_87, plain, (~unequally_directed_lines(parallel_through_point(X1,X2),X1)), inference(split_conjunct,[status(thm)],[c_0_53]), ['final']). 0.49/0.68 cnf(c_0_88, plain, (~apart_point_and_line(X1,parallel_through_point(X2,X1))), inference(split_conjunct,[status(thm)],[c_0_54]), ['final']). 0.49/0.68 cnf(c_0_89, plain, (~distinct_lines(X1,reverse_line(X1))), inference(split_conjunct,[status(thm)],[c_0_55]), ['final']). 0.49/0.68 cnf(c_0_90, plain, (~distinct_lines(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_56]), ['final']). 0.49/0.68 cnf(c_0_91, plain, (~distinct_points(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_57]), ['final']). 0.49/0.68 cnf(c_0_92, plain, (~unequally_directed_lines(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_58]), ['final']). 0.49/0.68 cnf(c_0_93, negated_conjecture, (between_on_line(esk1_0,esk3_0,esk2_0,esk4_0)), inference(split_conjunct,[status(thm)],[c_0_59]), ['final']). 0.49/0.68 cnf(c_0_94, negated_conjecture, (between_on_line(esk1_0,esk2_0,esk3_0,esk4_0)), inference(split_conjunct,[status(thm)],[c_0_59]), ['final']). 0.49/0.68 cnf(c_0_95, negated_conjecture, (distinct_points(esk3_0,esk4_0)), inference(split_conjunct,[status(thm)],[c_0_59]), ['final']). 0.49/0.68 cnf(c_0_96, negated_conjecture, (distinct_points(esk2_0,esk4_0)), inference(split_conjunct,[status(thm)],[c_0_59]), ['final']). 0.49/0.68 cnf(c_0_97, negated_conjecture, (distinct_points(esk2_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_59]), ['final']). 0.49/0.68 cnf(c_0_98, negated_conjecture, (line(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_59]), ['final']). 0.49/0.68 0.49/0.68 # End clausification derivation 0.49/0.68 # Begin listing active clauses obtained from FOF to CNF conversion 0.49/0.68 cnf(i_0_61, negated_conjecture, (line(esk1_0))). 0.49/0.68 cnf(i_0_62, negated_conjecture, (distinct_points(esk2_0,esk3_0))). 0.49/0.68 cnf(i_0_64, negated_conjecture, (distinct_points(esk2_0,esk4_0))). 0.49/0.68 cnf(i_0_63, negated_conjecture, (distinct_points(esk3_0,esk4_0))). 0.49/0.68 cnf(i_0_60, negated_conjecture, (between_on_line(esk1_0,esk2_0,esk3_0,esk4_0))). 0.49/0.68 cnf(i_0_59, negated_conjecture, (between_on_line(esk1_0,esk3_0,esk2_0,esk4_0))). 0.49/0.68 cnf(i_0_25, plain, (~unequally_directed_lines(X1,X1))). 0.49/0.68 cnf(i_0_28, plain, (~left_apart_point(X1,X2))). 0.49/0.68 cnf(i_0_39, plain, (~distinct_points(X1,X1))). 0.49/0.68 cnf(i_0_15, plain, (~distinct_lines(X1,X1))). 0.49/0.68 cnf(i_0_3, plain, (~left_convergent_lines(X1,X2))). 0.49/0.68 cnf(i_0_16, plain, (~distinct_lines(X1,reverse_line(X1)))). 0.49/0.68 cnf(i_0_57, plain, (~apart_point_and_line(X1,parallel_through_point(X2,X1)))). 0.49/0.68 cnf(i_0_55, plain, (~unequally_directed_lines(parallel_through_point(X1,X2),X1))). 0.49/0.68 cnf(i_0_40, plain, (~divides_points(X1,X2,X3))). 0.49/0.68 cnf(i_0_38, plain, (~unequally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1))))). 0.49/0.68 cnf(i_0_5, plain, (~apart_point_and_line(X1,X2))). 0.49/0.68 cnf(i_0_18, plain, (line(reverse_line(X1))|~line(X1))). 0.49/0.68 cnf(i_0_22, plain, (distinct_points(X1,X2)|distinct_points(X3,X2)|~distinct_points(X1,X3))). 0.49/0.68 cnf(i_0_35, plain, (unequally_directed_lines(X1,X2)|~convergent_lines(X1,X2))). 0.49/0.68 cnf(i_0_58, plain, (line(parallel_through_point(X1,X2))|~line(X1)|~point(X2))). 0.49/0.68 cnf(i_0_47, plain, (distinct_points(X1,X2)|~before_on_line(X3,X1,X2))). 0.49/0.68 cnf(i_0_36, plain, (unequally_directed_lines(X1,reverse_line(X2))|~convergent_lines(X1,X2))). 0.49/0.68 cnf(i_0_19, plain, (unequally_directed_lines(X1,reverse_line(X2))|unequally_directed_lines(X1,X2)|~line(X1)|~line(X2))). 0.49/0.68 cnf(i_0_23, plain, (~distinct_points(X1,X2)|~apart_point_and_line(X2,line_connecting(X1,X2)))). 0.49/0.68 cnf(i_0_24, plain, (~distinct_points(X1,X2)|~apart_point_and_line(X1,line_connecting(X1,X2)))). 0.49/0.68 cnf(i_0_37, plain, (line(line_connecting(X1,X2))|~distinct_points(X1,X2)|~point(X1)|~point(X2))). 0.49/0.68 cnf(i_0_20, plain, (unequally_directed_lines(X1,X2)|unequally_directed_lines(X3,X2)|~unequally_directed_lines(X1,X3))). 0.49/0.68 cnf(i_0_48, plain, (~before_on_line(X1,X2,X3)|~unequally_directed_lines(X1,line_connecting(X2,X3)))). 0.49/0.68 cnf(i_0_9, plain, (between_on_line(X1,X2,X3,X4)|~before_on_line(X1,X3,X2)|~before_on_line(X1,X4,X3))). 0.49/0.68 cnf(i_0_10, plain, (between_on_line(X1,X2,X3,X4)|~before_on_line(X1,X2,X3)|~before_on_line(X1,X3,X4))). 0.49/0.68 cnf(i_0_12, plain, (before_on_line(X1,X2,X3)|before_on_line(X1,X4,X3)|~between_on_line(X1,X4,X3,X2))). 0.49/0.68 cnf(i_0_14, plain, (before_on_line(X1,X2,X3)|before_on_line(X1,X3,X2)|~between_on_line(X1,X4,X3,X2))). 0.49/0.68 cnf(i_0_8, plain, (distinct_lines(X1,X2)|distinct_lines(X3,X2)|~distinct_lines(X1,X3))). 0.49/0.68 cnf(i_0_11, plain, (before_on_line(X1,X2,X3)|before_on_line(X1,X3,X2)|~between_on_line(X1,X3,X2,X4))). 0.49/0.68 cnf(i_0_13, plain, (before_on_line(X1,X2,X3)|before_on_line(X1,X2,X4)|~between_on_line(X1,X3,X2,X4))). 0.49/0.68 cnf(i_0_21, plain, (~unequally_directed_lines(X1,reverse_line(X2))|~unequally_directed_lines(X1,X2))). 0.49/0.68 cnf(i_0_46, plain, (before_on_line(X1,X2,X3)|unequally_directed_lines(X1,line_connecting(X2,X3))|~distinct_points(X2,X3))). 0.49/0.68 cnf(i_0_56, plain, (~epred2_0|~epred1_0)). 0.49/0.68 cnf(i_0_67, plain, (epred1_0|~distinct_points(X1,X2))). 0.49/0.68 cnf(i_0_70, plain, (epred2_0|~distinct_lines(X1,X2))). 0.49/0.68 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 0.49/0.68 # Begin printing tableau 0.49/0.68 # 2,0,0,0 c 0.49/0.68 cnf(i_0_6925, plain, (distinct_points(esk3_0,esk3_0))). 0.49/0.68 # 1,3,22,0 0.49/0.68 cnf(i_0_73, plain, (distinct_points(esk3_0,esk4_0))). 0.49/0.68 # 0,1,63,0 0.49/0.68 cnf(i_0_63, watchlist, (distinct_points(esk3_0,esk4_0))). 0.49/0.68 0.49/0.68 # 2,0,0,0 c s 0.49/0.68 cnf(i_0_6926, plain, (distinct_points(esk4_0,esk3_0))). 0.49/0.68 # 1,3,22,0 0.49/0.68 cnf(i_0_73, plain, (distinct_points(esk3_0,esk4_0))). 0.49/0.68 # 0,1,63,0 0.49/0.68 cnf(i_0_63, watchlist, (distinct_points(esk3_0,esk4_0))). 0.49/0.68 0.49/0.68 # 2,0,0,1 x c 0.49/0.68 cnf(i_0_6927, plain, (~distinct_points(esk3_0,esk4_0))). 0.49/0.68 # 1,3,22,0 0.49/0.68 cnf(i_0_73, plain, (distinct_points(esk3_0,esk4_0))). 0.49/0.68 # 0,1,63,0 0.49/0.68 cnf(i_0_63, watchlist, (distinct_points(esk3_0,esk4_0))). 0.49/0.68 0.49/0.68 # End printing tableau 0.49/0.68 # SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.49/0.68 # Branches closed with saturation will be marked with an "s" 0.49/0.68 # Proof search success! 0.49/0.68 # Exiting... 0.49/0.69 EOF