TSTP Solution File: GEO190+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO190+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 275.40s 275.80s
% Output : Refutation 275.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO190+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 9 08:05:38 EDT 2024
% 0.12/0.34 % CPUTime :
% 275.40/275.80 % Version: 1.5
% 275.40/275.80 % SZS status Theorem
% 275.40/275.80 % SZS output start CNFRefutation
% 275.40/275.80 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(Z,line_connecting(Y,X))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 275.40/275.80 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(Z,line_connecting(Y,X)))))))),inference(assume_negation,[status(cth)],[con])).
% 275.40/275.80 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(Z,line_connecting(Y,X))))))),inference(fof_simplification,[status(thm)],[c0])).
% 275.40/275.80 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(Z,line_connecting(Y,X)))))),inference(fof_nnf,[status(thm)],[c1])).
% 275.40/275.80 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(X4,line_connecting(X3,X2)))))),inference(variable_rename,[status(thm)],[c2])).
% 275.40/275.80 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(skolem0003,line_connecting(skolem0002,skolem0001))),inference(skolemize,[status(esa)],[c3])).
% 275.40/275.80 cnf(c5,negated_conjecture,distinct_points(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c4])).
% 275.40/275.80 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)).
% 275.40/275.80 fof(c36,plain,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_simplification,[status(thm)],[ci2])).
% 275.40/275.80 fof(c37,plain,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_nnf,[status(thm)],[c36])).
% 275.40/275.80 fof(c38,plain,(![X22]:(![X23]:(~distinct_points(X22,X23)|~apart_point_and_line(X23,line_connecting(X22,X23))))),inference(variable_rename,[status(thm)],[c37])).
% 275.40/275.80 cnf(c39,plain,~distinct_points(X45,X46)|~apart_point_and_line(X46,line_connecting(X45,X46)),inference(split_conjunct,[status(thm)],[c38])).
% 275.40/275.80 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)).
% 275.40/275.80 fof(c40,plain,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_simplification,[status(thm)],[ci1])).
% 275.40/275.80 fof(c41,plain,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_nnf,[status(thm)],[c40])).
% 275.40/275.80 fof(c42,plain,(![X24]:(![X25]:(~distinct_points(X24,X25)|~apart_point_and_line(X24,line_connecting(X24,X25))))),inference(variable_rename,[status(thm)],[c41])).
% 275.40/275.80 cnf(c43,plain,~distinct_points(X51,X50)|~apart_point_and_line(X51,line_connecting(X51,X50)),inference(split_conjunct,[status(thm)],[c42])).
% 275.40/275.80 cnf(c8,negated_conjecture,~apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)),inference(split_conjunct,[status(thm)],[c4])).
% 275.40/275.80 fof(apart1,axiom,(![X]:(~distinct_points(X,X))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart1)).
% 275.40/275.80 fof(c65,plain,(![X]:~distinct_points(X,X)),inference(fof_simplification,[status(thm)],[apart1])).
% 275.40/275.80 fof(c66,plain,(![X37]:~distinct_points(X37,X37)),inference(variable_rename,[status(thm)],[c65])).
% 275.40/275.80 cnf(c67,plain,~distinct_points(X40,X40),inference(split_conjunct,[status(thm)],[c66])).
% 275.40/275.80 fof(apart4,axiom,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(distinct_points(X,Z)|distinct_points(Y,Z)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart4)).
% 275.40/275.80 fof(c54,plain,(![X]:(![Y]:(![Z]:(~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(fof_nnf,[status(thm)],[apart4])).
% 275.40/275.80 fof(c55,plain,(![X]:(![Y]:(~distinct_points(X,Y)|(![Z]:(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(shift_quantors,[status(thm)],[c54])).
% 275.40/275.80 fof(c57,plain,(![X32]:(![X33]:(![X34]:(~distinct_points(X32,X33)|(distinct_points(X32,X34)|distinct_points(X33,X34)))))),inference(shift_quantors,[status(thm)],[fof(c56,plain,(![X32]:(![X33]:(~distinct_points(X32,X33)|(![X34]:(distinct_points(X32,X34)|distinct_points(X33,X34)))))),inference(variable_rename,[status(thm)],[c55])).])).
% 275.40/275.80 cnf(c58,plain,~distinct_points(X68,X69)|distinct_points(X68,X70)|distinct_points(X69,X70),inference(split_conjunct,[status(thm)],[c57])).
% 275.40/275.80 cnf(c70,plain,distinct_points(skolem0001,X71)|distinct_points(skolem0002,X71),inference(resolution,[status(thm)],[c58, c5])).
% 275.40/275.80 cnf(c73,plain,distinct_points(skolem0002,skolem0001),inference(resolution,[status(thm)],[c70, c67])).
% 275.40/275.80 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)).
% 275.40/275.80 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])).
% 275.40/275.80 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])).
% 275.40/275.80 cnf(c27,plain,~distinct_points(X67,X64)|~distinct_lines(X65,X66)|apart_point_and_line(X67,X65)|apart_point_and_line(X67,X66)|apart_point_and_line(X64,X65)|apart_point_and_line(X64,X66),inference(split_conjunct,[status(thm)],[c26])).
% 275.40/275.80 cnf(c9,negated_conjecture,apart_point_and_line(skolem0003,line_connecting(skolem0002,skolem0001)),inference(split_conjunct,[status(thm)],[c4])).
% 275.40/275.80 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)).
% 275.40/275.80 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])).
% 275.40/275.80 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])).
% 275.40/275.80 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])).])).
% 275.40/275.80 cnf(c19,plain,~apart_point_and_line(X54,X52)|distinct_lines(X52,X53)|apart_point_and_line(X54,X53),inference(split_conjunct,[status(thm)],[c18])).
% 275.40/275.80 cnf(c68,plain,distinct_lines(line_connecting(skolem0002,skolem0001),X73)|apart_point_and_line(skolem0003,X73),inference(resolution,[status(thm)],[c19, c9])).
% 275.40/275.80 cnf(c83,plain,apart_point_and_line(skolem0003,X105)|~distinct_points(X107,X106)|apart_point_and_line(X107,line_connecting(skolem0002,skolem0001))|apart_point_and_line(X107,X105)|apart_point_and_line(X106,line_connecting(skolem0002,skolem0001))|apart_point_and_line(X106,X105),inference(resolution,[status(thm)],[c68, c27])).
% 275.40/275.80 cnf(c187,plain,apart_point_and_line(skolem0003,X546)|apart_point_and_line(skolem0001,line_connecting(skolem0002,skolem0001))|apart_point_and_line(skolem0001,X546)|apart_point_and_line(skolem0002,line_connecting(skolem0002,skolem0001))|apart_point_and_line(skolem0002,X546),inference(resolution,[status(thm)],[c83, c5])).
% 275.40/275.80 cnf(c1795,plain,apart_point_and_line(skolem0003,X15300)|apart_point_and_line(skolem0001,X15300)|apart_point_and_line(skolem0002,line_connecting(skolem0002,skolem0001))|apart_point_and_line(skolem0002,X15300)|~distinct_points(skolem0002,skolem0001),inference(resolution,[status(thm)],[c187, c39])).
% 275.40/275.80 cnf(c243045,plain,apart_point_and_line(skolem0003,X15318)|apart_point_and_line(skolem0001,X15318)|apart_point_and_line(skolem0002,line_connecting(skolem0002,skolem0001))|apart_point_and_line(skolem0002,X15318),inference(resolution,[status(thm)],[c1795, c73])).
% 275.40/275.80 cnf(c243483,plain,apart_point_and_line(skolem0003,X15319)|apart_point_and_line(skolem0001,X15319)|apart_point_and_line(skolem0002,X15319)|~distinct_points(skolem0002,skolem0001),inference(resolution,[status(thm)],[c243045, c43])).
% 275.40/275.80 cnf(c244292,plain,apart_point_and_line(skolem0003,X15320)|apart_point_and_line(skolem0001,X15320)|apart_point_and_line(skolem0002,X15320),inference(resolution,[status(thm)],[c243483, c73])).
% 275.40/275.80 cnf(c244696,plain,apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002)),inference(resolution,[status(thm)],[c244292, c8])).
% 275.40/275.80 cnf(c248237,plain,apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))|~distinct_points(skolem0001,skolem0002),inference(resolution,[status(thm)],[c244696, c43])).
% 275.40/275.80 cnf(c248393,plain,apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002)),inference(resolution,[status(thm)],[c248237, c5])).
% 275.40/275.80 cnf(c249459,plain,~distinct_points(skolem0001,skolem0002),inference(resolution,[status(thm)],[c248393, c39])).
% 275.40/275.80 cnf(c249614,plain,$false,inference(resolution,[status(thm)],[c249459, c5])).
% 275.40/275.80 % SZS output end CNFRefutation
% 275.40/275.80
% 275.40/275.80 % Initial clauses : 19
% 275.40/275.80 % Processed clauses : 1134
% 275.40/275.80 % Factors computed : 4118
% 275.40/275.80 % Resolvents computed: 246491
% 275.40/275.80 % Tautologies deleted: 5
% 275.40/275.80 % Forward subsumed : 6163
% 275.40/275.80 % Backward subsumed : 49
% 275.40/275.80 % -------- CPU Time ---------
% 275.40/275.80 % User time : 274.539 s
% 275.40/275.80 % System time : 0.759 s
% 275.40/275.80 % Total time : 275.298 s
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