%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO172+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu May 9 17:21:15 EDT 2024
% Result : Theorem 26.09s 26.26s
% Output : Refutation 26.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.15 % Problem : GEO172+1 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.37 % Computer : n021.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu May 9 08:02:53 EDT 2024
% 0.16/0.37 % CPUTime :
% 26.09/26.26 % Version: 1.5
% 26.09/26.26 % SZS status Theorem
% 26.09/26.26 % SZS output start CNFRefutation
% 26.09/26.26 fof(con,conjecture,(![X]:(![Y]:(![Z]:(((convergent_lines(X,Y)&(~apart_point_and_line(Z,X)))&(~apart_point_and_line(Z,Y)))=>(~distinct_points(Z,intersection_point(X,Y))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 26.09/26.26 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:(((convergent_lines(X,Y)&(~apart_point_and_line(Z,X)))&(~apart_point_and_line(Z,Y)))=>(~distinct_points(Z,intersection_point(X,Y)))))))),inference(assume_negation,[status(cth)],[con])).
% 26.09/26.26 fof(c1,negated_conjecture,(~(![X]:(![Y]:(![Z]:(((convergent_lines(X,Y)&~apart_point_and_line(Z,X))&~apart_point_and_line(Z,Y))=>~distinct_points(Z,intersection_point(X,Y))))))),inference(fof_simplification,[status(thm)],[c0])).
% 26.09/26.26 fof(c2,negated_conjecture,(?[X]:(?[Y]:(?[Z]:(((convergent_lines(X,Y)&~apart_point_and_line(Z,X))&~apart_point_and_line(Z,Y))&distinct_points(Z,intersection_point(X,Y)))))),inference(fof_nnf,[status(thm)],[c1])).
% 26.09/26.26 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(((convergent_lines(X2,X3)&~apart_point_and_line(X4,X2))&~apart_point_and_line(X4,X3))&distinct_points(X4,intersection_point(X2,X3)))))),inference(variable_rename,[status(thm)],[c2])).
% 26.09/26.26 fof(c4,negated_conjecture,(((convergent_lines(skolem0001,skolem0002)&~apart_point_and_line(skolem0003,skolem0001))&~apart_point_and_line(skolem0003,skolem0002))&distinct_points(skolem0003,intersection_point(skolem0001,skolem0002))),inference(skolemize,[status(esa)],[c3])).
% 26.09/26.26 cnf(c5,negated_conjecture,convergent_lines(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c4])).
% 26.09/26.26 fof(ci3,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>(~apart_point_and_line(intersection_point(X,Y),X))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci3)).
% 26.09/26.26 fof(c31,plain,(![X]:(![Y]:(convergent_lines(X,Y)=>~apart_point_and_line(intersection_point(X,Y),X)))),inference(fof_simplification,[status(thm)],[ci3])).
% 26.09/26.26 fof(c32,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X)))),inference(fof_nnf,[status(thm)],[c31])).
% 26.09/26.26 fof(c33,plain,(![X20]:(![X21]:(~convergent_lines(X20,X21)|~apart_point_and_line(intersection_point(X20,X21),X20)))),inference(variable_rename,[status(thm)],[c32])).
% 26.09/26.26 cnf(c34,plain,~convergent_lines(X44,X43)|~apart_point_and_line(intersection_point(X44,X43),X44),inference(split_conjunct,[status(thm)],[c33])).
% 26.09/26.26 fof(ci4,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>(~apart_point_and_line(intersection_point(X,Y),Y))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci4)).
% 26.09/26.26 fof(c27,plain,(![X]:(![Y]:(convergent_lines(X,Y)=>~apart_point_and_line(intersection_point(X,Y),Y)))),inference(fof_simplification,[status(thm)],[ci4])).
% 26.09/26.26 fof(c28,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),Y)))),inference(fof_nnf,[status(thm)],[c27])).
% 26.09/26.26 fof(c29,plain,(![X18]:(![X19]:(~convergent_lines(X18,X19)|~apart_point_and_line(intersection_point(X18,X19),X19)))),inference(variable_rename,[status(thm)],[c28])).
% 26.09/26.26 cnf(c30,plain,~convergent_lines(X41,X42)|~apart_point_and_line(intersection_point(X41,X42),X42),inference(split_conjunct,[status(thm)],[c29])).
% 26.09/26.26 cnf(c6,negated_conjecture,~apart_point_and_line(skolem0003,skolem0001),inference(split_conjunct,[status(thm)],[c4])).
% 26.09/26.26 cnf(c7,negated_conjecture,~apart_point_and_line(skolem0003,skolem0002),inference(split_conjunct,[status(thm)],[c4])).
% 26.09/26.26 cnf(c8,negated_conjecture,distinct_points(skolem0003,intersection_point(skolem0001,skolem0002)),inference(split_conjunct,[status(thm)],[c4])).
% 26.09/26.26 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 26.09/26.26 fof(c58,plain,(![X]:~convergent_lines(X,X)),inference(fof_simplification,[status(thm)],[apart3])).
% 26.09/26.26 fof(c59,plain,(![X35]:~convergent_lines(X35,X35)),inference(variable_rename,[status(thm)],[c58])).
% 26.09/26.26 cnf(c60,plain,~convergent_lines(X38,X38),inference(split_conjunct,[status(thm)],[c59])).
% 26.09/26.26 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 26.09/26.26 fof(c9,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,[status(thm)],[ceq3])).
% 26.09/26.26 fof(c10,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,[status(thm)],[c9])).
% 26.09/26.26 fof(c12,plain,(![X5]:(![X6]:(![X7]:(~convergent_lines(X5,X6)|(distinct_lines(X6,X7)|convergent_lines(X5,X7)))))),inference(shift_quantors,[status(thm)],[fof(c11,plain,(![X5]:(![X6]:(~convergent_lines(X5,X6)|(![X7]:(distinct_lines(X6,X7)|convergent_lines(X5,X7)))))),inference(variable_rename,[status(thm)],[c10])).])).
% 26.09/26.26 cnf(c13,plain,~convergent_lines(X49,X51)|distinct_lines(X51,X50)|convergent_lines(X49,X50),inference(split_conjunct,[status(thm)],[c12])).
% 26.09/26.26 cnf(c67,plain,distinct_lines(skolem0002,X52)|convergent_lines(skolem0001,X52),inference(resolution,[status(thm)],[c13, c5])).
% 26.09/26.26 cnf(c70,plain,distinct_lines(skolem0002,skolem0001),inference(resolution,[status(thm)],[c67, c60])).
% 26.09/26.26 fof(cu1,axiom,(![X]:(![Y]:(![U]:(![V]:((distinct_points(X,Y)&distinct_lines(U,V))=>(((apart_point_and_line(X,U)|apart_point_and_line(X,V))|apart_point_and_line(Y,U))|apart_point_and_line(Y,V))))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 26.09/26.26 fof(c24,plain,(![X]:(![Y]:(![U]:(![V]:((~distinct_points(X,Y)|~distinct_lines(U,V))|(((apart_point_and_line(X,U)|apart_point_and_line(X,V))|apart_point_and_line(Y,U))|apart_point_and_line(Y,V))))))),inference(fof_nnf,[status(thm)],[cu1])).
% 26.09/26.26 fof(c25,plain,(![X14]:(![X15]:(![X16]:(![X17]:((~distinct_points(X14,X15)|~distinct_lines(X16,X17))|(((apart_point_and_line(X14,X16)|apart_point_and_line(X14,X17))|apart_point_and_line(X15,X16))|apart_point_and_line(X15,X17))))))),inference(variable_rename,[status(thm)],[c24])).
% 26.09/26.26 cnf(c26,plain,~distinct_points(X61,X59)|~distinct_lines(X62,X60)|apart_point_and_line(X61,X62)|apart_point_and_line(X61,X60)|apart_point_and_line(X59,X62)|apart_point_and_line(X59,X60),inference(split_conjunct,[status(thm)],[c25])).
% 26.09/26.26 cnf(c72,plain,~distinct_points(X87,X88)|apart_point_and_line(X87,skolem0002)|apart_point_and_line(X87,skolem0001)|apart_point_and_line(X88,skolem0002)|apart_point_and_line(X88,skolem0001),inference(resolution,[status(thm)],[c26, c70])).
% 26.09/26.26 cnf(c127,plain,apart_point_and_line(skolem0003,skolem0002)|apart_point_and_line(skolem0003,skolem0001)|apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0002)|apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0001),inference(resolution,[status(thm)],[c72, c8])).
% 26.09/26.26 cnf(c616,plain,apart_point_and_line(skolem0003,skolem0001)|apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0002)|apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0001),inference(resolution,[status(thm)],[c127, c7])).
% 26.09/26.26 cnf(c6927,plain,apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0002)|apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0001),inference(resolution,[status(thm)],[c616, c6])).
% 26.09/26.26 cnf(c25091,plain,apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0001)|~convergent_lines(skolem0001,skolem0002),inference(resolution,[status(thm)],[c6927, c30])).
% 26.09/26.26 cnf(c25616,plain,apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0001),inference(resolution,[status(thm)],[c25091, c5])).
% 26.09/26.26 cnf(c25809,plain,~convergent_lines(skolem0001,skolem0002),inference(resolution,[status(thm)],[c25616, c34])).
% 26.09/26.26 cnf(c26327,plain,$false,inference(resolution,[status(thm)],[c25809, c5])).
% 26.09/26.26 % SZS output end CNFRefutation
% 26.09/26.26
% 26.09/26.26 % Initial clauses : 18
% 26.09/26.26 % Processed clauses : 713
% 26.09/26.26 % Factors computed : 1830
% 26.09/26.26 % Resolvents computed: 24621
% 26.09/26.26 % Tautologies deleted: 1
% 26.09/26.26 % Forward subsumed : 3387
% 26.09/26.26 % Backward subsumed : 67
% 26.09/26.26 % -------- CPU Time ---------
% 26.09/26.26 % User time : 25.804 s
% 26.09/26.26 % System time : 0.077 s
% 26.09/26.26 % Total time : 25.881 s
%------------------------------------------------------------------------------