%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO181+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 17:21:19 EDT 2024
% Result : Theorem 161.68s 161.89s
% Output : Refutation 161.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO181+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n016.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 08:24:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 161.68/161.89 % Version: 1.5
% 161.68/161.89 % SZS status Theorem
% 161.68/161.89 % SZS output start CNFRefutation
% 161.68/161.89 fof(apart1,axiom,(![X]:(~distinct_points(X,X))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart1)).
% 161.68/161.89 fof(c63,plain,(![X]:~distinct_points(X,X)),inference(fof_simplification,[status(thm)],[apart1])).
% 161.68/161.89 fof(c64,plain,(![X37]:~distinct_points(X37,X37)),inference(variable_rename,[status(thm)],[c63])).
% 161.68/161.89 cnf(c65,plain,~distinct_points(X40,X40),inference(split_conjunct,[status(thm)],[c64])).
% 161.68/161.89 fof(apart4,axiom,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(distinct_points(X,Z)|distinct_points(Y,Z)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart4)).
% 161.68/161.89 fof(c52,plain,(![X]:(![Y]:(![Z]:(~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(fof_nnf,[status(thm)],[apart4])).
% 161.68/161.89 fof(c53,plain,(![X]:(![Y]:(~distinct_points(X,Y)|(![Z]:(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(shift_quantors,[status(thm)],[c52])).
% 161.68/161.89 fof(c55,plain,(![X32]:(![X33]:(![X34]:(~distinct_points(X32,X33)|(distinct_points(X32,X34)|distinct_points(X33,X34)))))),inference(shift_quantors,[status(thm)],[fof(c54,plain,(![X32]:(![X33]:(~distinct_points(X32,X33)|(![X34]:(distinct_points(X32,X34)|distinct_points(X33,X34)))))),inference(variable_rename,[status(thm)],[c53])).])).
% 161.68/161.89 cnf(c56,plain,~distinct_points(X65,X66)|distinct_points(X65,X64)|distinct_points(X66,X64),inference(split_conjunct,[status(thm)],[c55])).
% 161.68/161.89 fof(con,conjecture,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(apart_point_and_line(Z,line_connecting(X,Y))=>apart_point_and_line(Y,line_connecting(X,Z))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 161.68/161.89 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(apart_point_and_line(Z,line_connecting(X,Y))=>apart_point_and_line(Y,line_connecting(X,Z)))))))),inference(assume_negation,[status(cth)],[con])).
% 161.68/161.89 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[Z]:(distinct_points(X,Y)&(apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(Y,line_connecting(X,Z))))))),inference(fof_nnf,[status(thm)],[c0])).
% 161.68/161.89 fof(c2,negated_conjecture,(?[X]:(?[Y]:(distinct_points(X,Y)&(?[Z]:(apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(Y,line_connecting(X,Z))))))),inference(shift_quantors,[status(thm)],[c1])).
% 161.68/161.89 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(distinct_points(X2,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])).
% 161.68/161.89 fof(c4,negated_conjecture,(distinct_points(skolem0001,skolem0002)&(apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002))&~apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0003)))),inference(skolemize,[status(esa)],[c3])).
% 161.68/161.89 cnf(c5,negated_conjecture,distinct_points(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c4])).
% 161.68/161.89 fof(ci1,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(X,line_connecting(X,Y)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci1)).
% 161.68/161.89 fof(c38,plain,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_simplification,[status(thm)],[ci1])).
% 161.68/161.89 fof(c39,plain,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_nnf,[status(thm)],[c38])).
% 161.68/161.89 fof(c40,plain,(![X24]:(![X25]:(~distinct_points(X24,X25)|~apart_point_and_line(X24,line_connecting(X24,X25))))),inference(variable_rename,[status(thm)],[c39])).
% 161.68/161.89 cnf(c41,plain,~distinct_points(X47,X48)|~apart_point_and_line(X47,line_connecting(X47,X48)),inference(split_conjunct,[status(thm)],[c40])).
% 161.68/161.89 cnf(c6,negated_conjecture,apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)),inference(split_conjunct,[status(thm)],[c4])).
% 161.68/161.89 fof(ceq1,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_points(X,Z)|apart_point_and_line(Z,Y)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq1)).
% 161.68/161.89 fof(c18,plain,(![X]:(![Y]:(![Z]:(~apart_point_and_line(X,Y)|(distinct_points(X,Z)|apart_point_and_line(Z,Y)))))),inference(fof_nnf,[status(thm)],[ceq1])).
% 161.68/161.89 fof(c19,plain,(![X]:(![Y]:(~apart_point_and_line(X,Y)|(![Z]:(distinct_points(X,Z)|apart_point_and_line(Z,Y)))))),inference(shift_quantors,[status(thm)],[c18])).
% 161.68/161.89 fof(c21,plain,(![X11]:(![X12]:(![X13]:(~apart_point_and_line(X11,X12)|(distinct_points(X11,X13)|apart_point_and_line(X13,X12)))))),inference(shift_quantors,[status(thm)],[fof(c20,plain,(![X11]:(![X12]:(~apart_point_and_line(X11,X12)|(![X13]:(distinct_points(X11,X13)|apart_point_and_line(X13,X12)))))),inference(variable_rename,[status(thm)],[c19])).])).
% 161.68/161.89 cnf(c22,plain,~apart_point_and_line(X55,X57)|distinct_points(X55,X56)|apart_point_and_line(X56,X57),inference(split_conjunct,[status(thm)],[c21])).
% 161.68/161.89 cnf(c67,plain,distinct_points(skolem0003,X74)|apart_point_and_line(X74,line_connecting(skolem0001,skolem0002)),inference(resolution,[status(thm)],[c22, c6])).
% 161.68/161.89 cnf(c86,plain,distinct_points(skolem0003,skolem0001)|~distinct_points(skolem0001,skolem0002),inference(resolution,[status(thm)],[c67, c41])).
% 161.68/161.89 cnf(c90,plain,distinct_points(skolem0003,skolem0001),inference(resolution,[status(thm)],[c86, c5])).
% 161.68/161.89 cnf(c91,plain,distinct_points(skolem0003,X75)|distinct_points(skolem0001,X75),inference(resolution,[status(thm)],[c90, c56])).
% 161.68/161.89 cnf(c92,plain,distinct_points(skolem0001,skolem0003),inference(resolution,[status(thm)],[c91, c65])).
% 161.68/161.89 fof(ci2,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(Y,line_connecting(X,Y)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci2)).
% 161.68/161.89 fof(c34,plain,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_simplification,[status(thm)],[ci2])).
% 161.68/161.89 fof(c35,plain,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_nnf,[status(thm)],[c34])).
% 161.68/161.89 fof(c36,plain,(![X22]:(![X23]:(~distinct_points(X22,X23)|~apart_point_and_line(X23,line_connecting(X22,X23))))),inference(variable_rename,[status(thm)],[c35])).
% 161.68/161.89 cnf(c37,plain,~distinct_points(X46,X45)|~apart_point_and_line(X45,line_connecting(X46,X45)),inference(split_conjunct,[status(thm)],[c36])).
% 161.68/161.89 cnf(c7,negated_conjecture,~apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0003)),inference(split_conjunct,[status(thm)],[c4])).
% 161.68/161.89 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/sandbox/benchmark/Axioms/GEO006+0.ax', cu1)).
% 161.68/161.89 fof(c23,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])).
% 161.68/161.89 fof(c24,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)],[c23])).
% 161.68/161.89 cnf(c25,plain,~distinct_points(X69,X68)|~distinct_lines(X70,X71)|apart_point_and_line(X69,X70)|apart_point_and_line(X69,X71)|apart_point_and_line(X68,X70)|apart_point_and_line(X68,X71),inference(split_conjunct,[status(thm)],[c24])).
% 161.68/161.89 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/sandbox/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 161.68/161.89 fof(c13,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])).
% 161.68/161.89 fof(c14,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)],[c13])).
% 161.68/161.89 fof(c16,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(c15,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)],[c14])).])).
% 161.68/161.89 cnf(c17,plain,~apart_point_and_line(X54,X52)|distinct_lines(X52,X53)|apart_point_and_line(X54,X53),inference(split_conjunct,[status(thm)],[c16])).
% 161.68/161.89 cnf(c66,plain,distinct_lines(line_connecting(skolem0001,skolem0002),X73)|apart_point_and_line(skolem0003,X73),inference(resolution,[status(thm)],[c17, c6])).
% 161.68/161.89 cnf(c74,plain,apart_point_and_line(skolem0003,X88)|~distinct_points(X86,X87)|apart_point_and_line(X86,line_connecting(skolem0001,skolem0002))|apart_point_and_line(X86,X88)|apart_point_and_line(X87,line_connecting(skolem0001,skolem0002))|apart_point_and_line(X87,X88),inference(resolution,[status(thm)],[c66, c25])).
% 161.68/161.89 cnf(c135,plain,apart_point_and_line(skolem0003,X297)|apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0001,X297)|apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0002,X297),inference(resolution,[status(thm)],[c74, c5])).
% 161.68/161.89 cnf(c1004,plain,apart_point_and_line(skolem0003,X7553)|apart_point_and_line(skolem0001,X7553)|apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0002,X7553)|~distinct_points(skolem0001,skolem0002),inference(resolution,[status(thm)],[c135, c41])).
% 161.68/161.89 cnf(c110419,plain,apart_point_and_line(skolem0003,X9309)|apart_point_and_line(skolem0001,X9309)|apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0002,X9309),inference(resolution,[status(thm)],[c1004, c5])).
% 161.68/161.89 cnf(c166891,plain,apart_point_and_line(skolem0003,X9310)|apart_point_and_line(skolem0001,X9310)|apart_point_and_line(skolem0002,X9310)|~distinct_points(skolem0001,skolem0002),inference(resolution,[status(thm)],[c110419, c37])).
% 161.68/161.89 cnf(c166986,plain,apart_point_and_line(skolem0003,X9311)|apart_point_and_line(skolem0001,X9311)|apart_point_and_line(skolem0002,X9311),inference(resolution,[status(thm)],[c166891, c5])).
% 161.68/161.89 cnf(c167694,plain,apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0003))|apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0003)),inference(resolution,[status(thm)],[c166986, c7])).
% 161.68/161.89 cnf(c168144,plain,apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0003))|~distinct_points(skolem0001,skolem0003),inference(resolution,[status(thm)],[c167694, c37])).
% 161.68/161.89 cnf(c168698,plain,apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0003)),inference(resolution,[status(thm)],[c168144, c92])).
% 161.68/161.89 cnf(c168938,plain,~distinct_points(skolem0001,skolem0003),inference(resolution,[status(thm)],[c168698, c41])).
% 161.68/161.89 cnf(c169489,plain,$false,inference(resolution,[status(thm)],[c168938, c92])).
% 161.68/161.89 % SZS output end CNFRefutation
% 161.68/161.89
% 161.68/161.89 % Initial clauses : 17
% 161.68/161.89 % Processed clauses : 856
% 161.68/161.89 % Factors computed : 2658
% 161.68/161.89 % Resolvents computed: 167003
% 161.68/161.89 % Tautologies deleted: 3
% 161.68/161.89 % Forward subsumed : 4188
% 161.68/161.89 % Backward subsumed : 44
% 161.68/161.89 % -------- CPU Time ---------
% 161.68/161.89 % User time : 160.977 s
% 161.68/161.89 % System time : 0.567 s
% 161.68/161.89 % Total time : 161.544 s
%------------------------------------------------------------------------------