%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO189+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 17:21:23 EDT 2024
% Result : Theorem 152.80s 152.99s
% Output : Refutation 152.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO189+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 9 08:09:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 152.80/152.99 % Version: 1.5
% 152.80/152.99 % SZS status Theorem
% 152.80/152.99 % SZS output start CNFRefutation
% 152.80/152.99 fof(con,conjecture,(![X]:(![Y]:(![Z]:((((distinct_points(X,Y)&distinct_points(X,Z))&distinct_points(Y,Z))&(~apart_point_and_line(Z,line_connecting(X,Y))))=>(~apart_point_and_line(Y,line_connecting(X,Z))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 152.80/152.99 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:((((distinct_points(X,Y)&distinct_points(X,Z))&distinct_points(Y,Z))&(~apart_point_and_line(Z,line_connecting(X,Y))))=>(~apart_point_and_line(Y,line_connecting(X,Z)))))))),inference(assume_negation,[status(cth)],[con])).
% 152.80/152.99 fof(c1,negated_conjecture,(~(![X]:(![Y]:(![Z]:((((distinct_points(X,Y)&distinct_points(X,Z))&distinct_points(Y,Z))&~apart_point_and_line(Z,line_connecting(X,Y)))=>~apart_point_and_line(Y,line_connecting(X,Z))))))),inference(fof_simplification,[status(thm)],[c0])).
% 152.80/152.99 fof(c2,negated_conjecture,(?[X]:(?[Y]:(?[Z]:((((distinct_points(X,Y)&distinct_points(X,Z))&distinct_points(Y,Z))&~apart_point_and_line(Z,line_connecting(X,Y)))&apart_point_and_line(Y,line_connecting(X,Z)))))),inference(fof_nnf,[status(thm)],[c1])).
% 152.80/152.99 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((((distinct_points(X2,X3)&distinct_points(X2,X4))&distinct_points(X3,X4))&~apart_point_and_line(X4,line_connecting(X2,X3)))&apart_point_and_line(X3,line_connecting(X2,X4)))))),inference(variable_rename,[status(thm)],[c2])).
% 152.80/152.99 fof(c4,negated_conjecture,((((distinct_points(skolem0001,skolem0002)&distinct_points(skolem0001,skolem0003))&distinct_points(skolem0002,skolem0003))&~apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)))&apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0003))),inference(skolemize,[status(esa)],[c3])).
% 152.80/152.99 cnf(c5,negated_conjecture,distinct_points(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c4])).
% 152.80/152.99 fof(ci1,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(X,line_connecting(X,Y)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci1)).
% 152.80/152.99 fof(c40,plain,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_simplification,[status(thm)],[ci1])).
% 152.80/152.99 fof(c41,plain,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_nnf,[status(thm)],[c40])).
% 152.80/152.99 fof(c42,plain,(![X24]:(![X25]:(~distinct_points(X24,X25)|~apart_point_and_line(X24,line_connecting(X24,X25))))),inference(variable_rename,[status(thm)],[c41])).
% 152.80/152.99 cnf(c43,plain,~distinct_points(X51,X50)|~apart_point_and_line(X51,line_connecting(X51,X50)),inference(split_conjunct,[status(thm)],[c42])).
% 152.80/152.99 fof(ci2,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(Y,line_connecting(X,Y)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci2)).
% 152.80/152.99 fof(c36,plain,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_simplification,[status(thm)],[ci2])).
% 152.80/152.99 fof(c37,plain,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_nnf,[status(thm)],[c36])).
% 152.80/152.99 fof(c38,plain,(![X22]:(![X23]:(~distinct_points(X22,X23)|~apart_point_and_line(X23,line_connecting(X22,X23))))),inference(variable_rename,[status(thm)],[c37])).
% 152.80/152.99 cnf(c39,plain,~distinct_points(X46,X45)|~apart_point_and_line(X45,line_connecting(X46,X45)),inference(split_conjunct,[status(thm)],[c38])).
% 152.80/152.99 cnf(c8,negated_conjecture,~apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)),inference(split_conjunct,[status(thm)],[c4])).
% 152.80/152.99 cnf(c6,negated_conjecture,distinct_points(skolem0001,skolem0003),inference(split_conjunct,[status(thm)],[c4])).
% 152.80/152.99 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)).
% 152.80/152.99 fof(c25,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])).
% 152.80/152.99 fof(c26,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)],[c25])).
% 152.80/152.99 cnf(c27,plain,~distinct_points(X65,X66)|~distinct_lines(X64,X67)|apart_point_and_line(X65,X64)|apart_point_and_line(X65,X67)|apart_point_and_line(X66,X64)|apart_point_and_line(X66,X67),inference(split_conjunct,[status(thm)],[c26])).
% 152.80/152.99 cnf(c9,negated_conjecture,apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0003)),inference(split_conjunct,[status(thm)],[c4])).
% 152.80/152.99 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 152.80/152.99 fof(c15,plain,(![X]:(![Y]:(![Z]:(~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),inference(fof_nnf,[status(thm)],[ceq2])).
% 152.80/152.99 fof(c16,plain,(![X]:(![Y]:(~apart_point_and_line(X,Y)|(![Z]:(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),inference(shift_quantors,[status(thm)],[c15])).
% 152.80/152.99 fof(c18,plain,(![X8]:(![X9]:(![X10]:(~apart_point_and_line(X8,X9)|(distinct_lines(X9,X10)|apart_point_and_line(X8,X10)))))),inference(shift_quantors,[status(thm)],[fof(c17,plain,(![X8]:(![X9]:(~apart_point_and_line(X8,X9)|(![X10]:(distinct_lines(X9,X10)|apart_point_and_line(X8,X10)))))),inference(variable_rename,[status(thm)],[c16])).])).
% 152.80/152.99 cnf(c19,plain,~apart_point_and_line(X53,X52)|distinct_lines(X52,X54)|apart_point_and_line(X53,X54),inference(split_conjunct,[status(thm)],[c18])).
% 152.80/152.99 cnf(c68,plain,distinct_lines(line_connecting(skolem0001,skolem0003),X73)|apart_point_and_line(skolem0002,X73),inference(resolution,[status(thm)],[c19, c9])).
% 152.80/152.99 cnf(c84,plain,apart_point_and_line(skolem0002,X107)|~distinct_points(X106,X105)|apart_point_and_line(X106,line_connecting(skolem0001,skolem0003))|apart_point_and_line(X106,X107)|apart_point_and_line(X105,line_connecting(skolem0001,skolem0003))|apart_point_and_line(X105,X107),inference(resolution,[status(thm)],[c68, c27])).
% 152.80/152.99 cnf(c172,plain,apart_point_and_line(skolem0002,X429)|apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0003))|apart_point_and_line(skolem0001,X429)|apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0003))|apart_point_and_line(skolem0003,X429),inference(resolution,[status(thm)],[c84, c6])).
% 152.80/152.99 cnf(c1437,plain,apart_point_and_line(skolem0002,X11506)|apart_point_and_line(skolem0001,X11506)|apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0003))|apart_point_and_line(skolem0003,X11506)|~distinct_points(skolem0001,skolem0003),inference(resolution,[status(thm)],[c172, c43])).
% 152.80/152.99 cnf(c164895,plain,apart_point_and_line(skolem0002,X11507)|apart_point_and_line(skolem0001,X11507)|apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0003))|apart_point_and_line(skolem0003,X11507),inference(resolution,[status(thm)],[c1437, c6])).
% 152.80/152.99 cnf(c165268,plain,apart_point_and_line(skolem0002,X11508)|apart_point_and_line(skolem0001,X11508)|apart_point_and_line(skolem0003,X11508)|~distinct_points(skolem0001,skolem0003),inference(resolution,[status(thm)],[c164895, c39])).
% 152.80/152.99 cnf(c165894,plain,apart_point_and_line(skolem0002,X11509)|apart_point_and_line(skolem0001,X11509)|apart_point_and_line(skolem0003,X11509),inference(resolution,[status(thm)],[c165268, c6])).
% 152.80/152.99 cnf(c166266,plain,apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002)),inference(resolution,[status(thm)],[c165894, c8])).
% 152.80/152.99 cnf(c169150,plain,apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002))|~distinct_points(skolem0001,skolem0002),inference(resolution,[status(thm)],[c166266, c39])).
% 152.80/152.99 cnf(c169492,plain,apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002)),inference(resolution,[status(thm)],[c169150, c5])).
% 152.80/152.99 cnf(c170125,plain,~distinct_points(skolem0001,skolem0002),inference(resolution,[status(thm)],[c169492, c43])).
% 152.80/152.99 cnf(c170465,plain,$false,inference(resolution,[status(thm)],[c170125, c5])).
% 152.80/152.99 % SZS output end CNFRefutation
% 152.80/152.99
% 152.80/152.99 % Initial clauses : 19
% 152.80/152.99 % Processed clauses : 946
% 152.80/152.99 % Factors computed : 3308
% 152.80/152.99 % Resolvents computed: 167722
% 152.80/152.99 % Tautologies deleted: 3
% 152.80/152.99 % Forward subsumed : 4967
% 152.80/152.99 % Backward subsumed : 31
% 152.80/152.99 % -------- CPU Time ---------
% 152.80/152.99 % User time : 152.087 s
% 152.80/152.99 % System time : 0.548 s
% 152.80/152.99 % Total time : 152.635 s
%------------------------------------------------------------------------------