%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO170+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 5.79s 5.96s
% Output : Refutation 5.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : GEO170+2 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 9 07:59:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 5.79/5.96 % Version: 1.5
% 5.79/5.96 % SZS status Theorem
% 5.79/5.96 % SZS output start CNFRefutation
% 5.79/5.96 fof(apart1,axiom,(![X]:(~distinct_points(X,X))),file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart1)).
% 5.79/5.96 fof(c60,plain,(![X]:~distinct_points(X,X)),inference(fof_simplification,[status(thm)],[apart1])).
% 5.79/5.96 fof(c61,plain,(![X34]:~distinct_points(X34,X34)),inference(variable_rename,[status(thm)],[c60])).
% 5.79/5.96 cnf(c62,plain,~distinct_points(X37,X37),inference(split_conjunct,[status(thm)],[c61])).
% 5.79/5.96 fof(apart4,axiom,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(distinct_points(X,Z)|distinct_points(Y,Z)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart4)).
% 5.79/5.96 fof(c49,plain,(![X]:(![Y]:(![Z]:(~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(fof_nnf,[status(thm)],[apart4])).
% 5.79/5.96 fof(c50,plain,(![X]:(![Y]:(~distinct_points(X,Y)|(![Z]:(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(shift_quantors,[status(thm)],[c49])).
% 5.79/5.96 fof(c52,plain,(![X29]:(![X30]:(![X31]:(~distinct_points(X29,X30)|(distinct_points(X29,X31)|distinct_points(X30,X31)))))),inference(shift_quantors,[status(thm)],[fof(c51,plain,(![X29]:(![X30]:(~distinct_points(X29,X30)|(![X31]:(distinct_points(X29,X31)|distinct_points(X30,X31)))))),inference(variable_rename,[status(thm)],[c50])).])).
% 5.79/5.96 cnf(c53,plain,~distinct_points(X57,X56)|distinct_points(X57,X58)|distinct_points(X56,X58),inference(split_conjunct,[status(thm)],[c52])).
% 5.79/5.96 fof(con,conjecture,(![X]:(![Y]:(![Z]:(((distinct_points(X,Y)&(~apart_point_and_line(X,Z)))&(~apart_point_and_line(Y,Z)))=>(~distinct_lines(Z,line_connecting(X,Y))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 5.79/5.96 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:(((distinct_points(X,Y)&(~apart_point_and_line(X,Z)))&(~apart_point_and_line(Y,Z)))=>(~distinct_lines(Z,line_connecting(X,Y)))))))),inference(assume_negation,[status(cth)],[con])).
% 5.79/5.96 fof(c1,negated_conjecture,(~(![X]:(![Y]:(![Z]:(((distinct_points(X,Y)&~apart_point_and_line(X,Z))&~apart_point_and_line(Y,Z))=>~distinct_lines(Z,line_connecting(X,Y))))))),inference(fof_simplification,[status(thm)],[c0])).
% 5.79/5.96 fof(c2,negated_conjecture,(?[X]:(?[Y]:(?[Z]:(((distinct_points(X,Y)&~apart_point_and_line(X,Z))&~apart_point_and_line(Y,Z))&distinct_lines(Z,line_connecting(X,Y)))))),inference(fof_nnf,[status(thm)],[c1])).
% 5.79/5.96 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(((distinct_points(X2,X3)&~apart_point_and_line(X2,X4))&~apart_point_and_line(X3,X4))&distinct_lines(X4,line_connecting(X2,X3)))))),inference(variable_rename,[status(thm)],[c2])).
% 5.79/5.96 fof(c4,negated_conjecture,(((distinct_points(skolem0001,skolem0002)&~apart_point_and_line(skolem0001,skolem0003))&~apart_point_and_line(skolem0002,skolem0003))&distinct_lines(skolem0003,line_connecting(skolem0001,skolem0002))),inference(skolemize,[status(esa)],[c3])).
% 5.79/5.96 cnf(c5,negated_conjecture,distinct_points(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c4])).
% 5.79/5.96 cnf(c65,plain,distinct_points(skolem0001,X59)|distinct_points(skolem0002,X59),inference(resolution,[status(thm)],[c53, c5])).
% 5.79/5.96 cnf(c66,plain,distinct_points(skolem0002,X65)|distinct_points(skolem0001,X66)|distinct_points(X65,X66),inference(resolution,[status(thm)],[c65, c53])).
% 5.79/5.96 cnf(c84,plain,distinct_points(skolem0002,X71)|distinct_points(X71,skolem0001),inference(resolution,[status(thm)],[c66, c62])).
% 5.79/5.96 cnf(c87,plain,distinct_points(X89,skolem0001)|distinct_points(skolem0002,X90)|distinct_points(X89,X90),inference(resolution,[status(thm)],[c84, c53])).
% 5.79/5.96 cnf(c124,plain,distinct_points(X92,skolem0001)|distinct_points(X92,skolem0002),inference(resolution,[status(thm)],[c87, c62])).
% 5.79/5.96 fof(con1,axiom,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(apart_point_and_line(Z,line_connecting(X,Y))=>(distinct_points(Z,X)&distinct_points(Z,Y))))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', con1)).
% 5.79/5.96 fof(c32,plain,(![X]:(![Y]:(![Z]:(~distinct_points(X,Y)|(~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y))))))),inference(fof_nnf,[status(thm)],[con1])).
% 5.79/5.96 fof(c33,plain,(![X]:(![Y]:(~distinct_points(X,Y)|(![Z]:(~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y))))))),inference(shift_quantors,[status(thm)],[c32])).
% 5.79/5.96 fof(c35,plain,(![X20]:(![X21]:(![X22]:(~distinct_points(X20,X21)|(~apart_point_and_line(X22,line_connecting(X20,X21))|(distinct_points(X22,X20)&distinct_points(X22,X21))))))),inference(shift_quantors,[status(thm)],[fof(c34,plain,(![X20]:(![X21]:(~distinct_points(X20,X21)|(![X22]:(~apart_point_and_line(X22,line_connecting(X20,X21))|(distinct_points(X22,X20)&distinct_points(X22,X21))))))),inference(variable_rename,[status(thm)],[c33])).])).
% 5.79/5.96 fof(c36,plain,(![X20]:(![X21]:(![X22]:((~distinct_points(X20,X21)|(~apart_point_and_line(X22,line_connecting(X20,X21))|distinct_points(X22,X20)))&(~distinct_points(X20,X21)|(~apart_point_and_line(X22,line_connecting(X20,X21))|distinct_points(X22,X21))))))),inference(distribute,[status(thm)],[c35])).
% 5.79/5.96 cnf(c37,plain,~distinct_points(X74,X73)|~apart_point_and_line(X75,line_connecting(X74,X73))|distinct_points(X75,X74),inference(split_conjunct,[status(thm)],[c36])).
% 5.79/5.96 cnf(c68,plain,distinct_points(skolem0001,X77)|distinct_points(skolem0002,X78)|distinct_points(X77,X78),inference(resolution,[status(thm)],[c65, c53])).
% 5.79/5.96 cnf(c96,plain,distinct_points(skolem0001,X80)|distinct_points(X80,skolem0002),inference(resolution,[status(thm)],[c68, c62])).
% 5.79/5.96 cnf(c38,plain,~distinct_points(X82,X81)|~apart_point_and_line(X83,line_connecting(X82,X81))|distinct_points(X83,X81),inference(split_conjunct,[status(thm)],[c36])).
% 5.79/5.96 fof(apart2,axiom,(![X]:(~distinct_lines(X,X))),file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart2)).
% 5.79/5.96 fof(c57,plain,(![X]:~distinct_lines(X,X)),inference(fof_simplification,[status(thm)],[apart2])).
% 5.79/5.96 fof(c58,plain,(![X33]:~distinct_lines(X33,X33)),inference(variable_rename,[status(thm)],[c57])).
% 5.79/5.96 cnf(c59,plain,~distinct_lines(X36,X36),inference(split_conjunct,[status(thm)],[c58])).
% 5.79/5.96 cnf(c6,negated_conjecture,~apart_point_and_line(skolem0001,skolem0003),inference(split_conjunct,[status(thm)],[c4])).
% 5.79/5.96 cnf(c7,negated_conjecture,~apart_point_and_line(skolem0002,skolem0003),inference(split_conjunct,[status(thm)],[c4])).
% 5.79/5.96 cnf(c67,plain,distinct_points(skolem0002,skolem0001),inference(resolution,[status(thm)],[c65, c62])).
% 5.79/5.96 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/GEO008+0.ax', cu1)).
% 5.79/5.96 fof(c22,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])).
% 5.79/5.96 fof(c23,plain,(![X13]:(![X14]:(![X15]:(![X16]:((~distinct_points(X13,X14)|~distinct_lines(X15,X16))|(((apart_point_and_line(X13,X15)|apart_point_and_line(X13,X16))|apart_point_and_line(X14,X15))|apart_point_and_line(X14,X16))))))),inference(variable_rename,[status(thm)],[c22])).
% 5.79/5.96 cnf(c24,plain,~distinct_points(X50,X49)|~distinct_lines(X52,X51)|apart_point_and_line(X50,X52)|apart_point_and_line(X50,X51)|apart_point_and_line(X49,X52)|apart_point_and_line(X49,X51),inference(split_conjunct,[status(thm)],[c23])).
% 5.79/5.96 cnf(c8,negated_conjecture,distinct_lines(skolem0003,line_connecting(skolem0001,skolem0002)),inference(split_conjunct,[status(thm)],[c4])).
% 5.79/5.96 fof(apart5,axiom,(![X]:(![Y]:(![Z]:(distinct_lines(X,Y)=>(distinct_lines(X,Z)|distinct_lines(Y,Z)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart5)).
% 5.79/5.96 fof(c44,plain,(![X]:(![Y]:(![Z]:(~distinct_lines(X,Y)|(distinct_lines(X,Z)|distinct_lines(Y,Z)))))),inference(fof_nnf,[status(thm)],[apart5])).
% 5.79/5.96 fof(c45,plain,(![X]:(![Y]:(~distinct_lines(X,Y)|(![Z]:(distinct_lines(X,Z)|distinct_lines(Y,Z)))))),inference(shift_quantors,[status(thm)],[c44])).
% 5.79/5.96 fof(c47,plain,(![X26]:(![X27]:(![X28]:(~distinct_lines(X26,X27)|(distinct_lines(X26,X28)|distinct_lines(X27,X28)))))),inference(shift_quantors,[status(thm)],[fof(c46,plain,(![X26]:(![X27]:(~distinct_lines(X26,X27)|(![X28]:(distinct_lines(X26,X28)|distinct_lines(X27,X28)))))),inference(variable_rename,[status(thm)],[c45])).])).
% 5.79/5.96 cnf(c48,plain,~distinct_lines(X53,X54)|distinct_lines(X53,X55)|distinct_lines(X54,X55),inference(split_conjunct,[status(thm)],[c47])).
% 5.79/5.96 cnf(c64,plain,distinct_lines(skolem0003,X64)|distinct_lines(line_connecting(skolem0001,skolem0002),X64),inference(resolution,[status(thm)],[c48, c8])).
% 5.79/5.96 cnf(c73,plain,distinct_lines(line_connecting(skolem0001,skolem0002),X98)|~distinct_points(X99,X100)|apart_point_and_line(X99,skolem0003)|apart_point_and_line(X99,X98)|apart_point_and_line(X100,skolem0003)|apart_point_and_line(X100,X98),inference(resolution,[status(thm)],[c64, c24])).
% 5.79/5.96 cnf(c151,plain,distinct_lines(line_connecting(skolem0001,skolem0002),X497)|apart_point_and_line(skolem0002,skolem0003)|apart_point_and_line(skolem0002,X497)|apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0001,X497),inference(resolution,[status(thm)],[c73, c67])).
% 5.79/5.96 cnf(c1559,plain,distinct_lines(line_connecting(skolem0001,skolem0002),X2369)|apart_point_and_line(skolem0002,X2369)|apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0001,X2369),inference(resolution,[status(thm)],[c151, c7])).
% 5.79/5.96 cnf(c9403,plain,distinct_lines(line_connecting(skolem0001,skolem0002),X2370)|apart_point_and_line(skolem0002,X2370)|apart_point_and_line(skolem0001,X2370),inference(resolution,[status(thm)],[c1559, c6])).
% 5.79/5.96 cnf(c9415,plain,apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002)),inference(resolution,[status(thm)],[c9403, c59])).
% 5.79/5.96 cnf(c9484,plain,apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002))|~distinct_points(skolem0001,skolem0002)|distinct_points(skolem0002,skolem0002),inference(resolution,[status(thm)],[c9415, c38])).
% 5.79/5.96 cnf(c9619,plain,apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002))|distinct_points(skolem0002,skolem0002),inference(resolution,[status(thm)],[c9484, c96])).
% 5.79/5.96 cnf(c9813,plain,apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002)),inference(resolution,[status(thm)],[c9619, c62])).
% 5.79/5.96 cnf(c9828,plain,~distinct_points(skolem0001,skolem0002)|distinct_points(skolem0001,skolem0001),inference(resolution,[status(thm)],[c9813, c37])).
% 5.79/5.96 cnf(c10057,plain,distinct_points(skolem0001,skolem0001),inference(resolution,[status(thm)],[c9828, c124])).
% 5.79/5.96 cnf(c10110,plain,$false,inference(resolution,[status(thm)],[c10057, c62])).
% 5.79/5.96 % SZS output end CNFRefutation
% 5.79/5.96
% 5.79/5.96 % Initial clauses : 18
% 5.79/5.96 % Processed clauses : 213
% 5.79/5.96 % Factors computed : 963
% 5.79/5.96 % Resolvents computed: 9096
% 5.79/5.96 % Tautologies deleted: 2
% 5.79/5.96 % Forward subsumed : 887
% 5.79/5.96 % Backward subsumed : 38
% 5.79/5.96 % -------- CPU Time ---------
% 5.79/5.96 % User time : 5.541 s
% 5.79/5.96 % System time : 0.052 s
% 5.79/5.96 % Total time : 5.593 s
%------------------------------------------------------------------------------