TSTP Solution File: GEO179+2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO179+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 : 600s
% DateTime : Sat Jul 16 05:58:56 EDT 2022
% Result : Theorem 1.65s 1.82s
% Output : Refutation 1.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO179+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 01:02:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.65/1.82 # Version: 1.3
% 1.65/1.82 # SZS status Theorem
% 1.65/1.82 # SZS output start CNFRefutation
% 1.65/1.82 fof(apart1,axiom,(![X]:(~distinct_points(X,X))),input).
% 1.65/1.82 fof(c58,axiom,(![X]:~distinct_points(X,X)),inference(fof_simplification,status(thm),[apart1])).
% 1.65/1.82 fof(c59,axiom,(![X34]:~distinct_points(X34,X34)),inference(variable_rename,status(thm),[c58])).
% 1.65/1.82 cnf(c60,axiom,~distinct_points(X37,X37),inference(split_conjunct,status(thm),[c59])).
% 1.65/1.82 fof(con,conjecture,(![X]:(![Y]:(![Z]:((distinct_points(X,Y)&apart_point_and_line(Z,line_connecting(X,Y)))=>(distinct_lines(line_connecting(X,Y),line_connecting(Z,X))&distinct_lines(line_connecting(X,Y),line_connecting(Z,Y))))))),input).
% 1.65/1.82 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:((distinct_points(X,Y)&apart_point_and_line(Z,line_connecting(X,Y)))=>(distinct_lines(line_connecting(X,Y),line_connecting(Z,X))&distinct_lines(line_connecting(X,Y),line_connecting(Z,Y)))))))),inference(assume_negation,status(cth),[con])).
% 1.65/1.82 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[Z]:((distinct_points(X,Y)&apart_point_and_line(Z,line_connecting(X,Y)))&(~distinct_lines(line_connecting(X,Y),line_connecting(Z,X))|~distinct_lines(line_connecting(X,Y),line_connecting(Z,Y))))))),inference(fof_nnf,status(thm),[c0])).
% 1.65/1.82 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((distinct_points(X2,X3)&apart_point_and_line(X4,line_connecting(X2,X3)))&(~distinct_lines(line_connecting(X2,X3),line_connecting(X4,X2))|~distinct_lines(line_connecting(X2,X3),line_connecting(X4,X3))))))),inference(variable_rename,status(thm),[c1])).
% 1.65/1.82 fof(c3,negated_conjecture,((distinct_points(skolem0001,skolem0002)&apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)))&(~distinct_lines(line_connecting(skolem0001,skolem0002),line_connecting(skolem0003,skolem0001))|~distinct_lines(line_connecting(skolem0001,skolem0002),line_connecting(skolem0003,skolem0002)))),inference(skolemize,status(esa),[c2])).
% 1.65/1.82 cnf(c4,negated_conjecture,distinct_points(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c3])).
% 1.65/1.82 cnf(c5,negated_conjecture,apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)),inference(split_conjunct,status(thm),[c3])).
% 1.65/1.82 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))))))),input).
% 1.65/1.82 fof(c30,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))))))),inference(fof_nnf,status(thm),[con1])).
% 1.65/1.82 fof(c31,axiom,(![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),[c30])).
% 1.65/1.82 fof(c33,axiom,(![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(c32,axiom,(![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),[c31])).])).
% 1.65/1.82 fof(c34,axiom,(![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),[c33])).
% 1.65/1.82 cnf(c35,axiom,~distinct_points(X79,X81)|~apart_point_and_line(X80,line_connecting(X79,X81))|distinct_points(X80,X79),inference(split_conjunct,status(thm),[c34])).
% 1.65/1.82 cnf(c110,plain,~distinct_points(skolem0001,skolem0002)|distinct_points(skolem0003,skolem0001),inference(resolution,status(thm),[c35, c5])).
% 1.65/1.82 cnf(c112,plain,distinct_points(skolem0003,skolem0001),inference(resolution,status(thm),[c110, c4])).
% 1.65/1.82 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),input).
% 1.65/1.82 fof(c10,axiom,(![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])).
% 1.65/1.82 fof(c11,axiom,(![X]:(![Y]:(~apart_point_and_line(X,Y)|(![Z]:(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),inference(shift_quantors,status(thm),[c10])).
% 1.65/1.82 fof(c13,axiom,(![X7]:(![X8]:(![X9]:(~apart_point_and_line(X7,X8)|(distinct_lines(X8,X9)|apart_point_and_line(X7,X9)))))),inference(shift_quantors,status(thm),[fof(c12,axiom,(![X7]:(![X8]:(~apart_point_and_line(X7,X8)|(![X9]:(distinct_lines(X8,X9)|apart_point_and_line(X7,X9)))))),inference(variable_rename,status(thm),[c11])).])).
% 1.65/1.82 cnf(c14,axiom,~apart_point_and_line(X40,X41)|distinct_lines(X41,X42)|apart_point_and_line(X40,X42),inference(split_conjunct,status(thm),[c13])).
% 1.65/1.82 cnf(c61,plain,distinct_lines(line_connecting(skolem0001,skolem0002),X57)|apart_point_and_line(skolem0003,X57),inference(resolution,status(thm),[c14, c5])).
% 1.65/1.82 cnf(c6,negated_conjecture,~distinct_lines(line_connecting(skolem0001,skolem0002),line_connecting(skolem0003,skolem0001))|~distinct_lines(line_connecting(skolem0001,skolem0002),line_connecting(skolem0003,skolem0002)),inference(split_conjunct,status(thm),[c3])).
% 1.65/1.82 fof(apart4,axiom,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(distinct_points(X,Z)|distinct_points(Y,Z)))))),input).
% 1.65/1.82 fof(c47,axiom,(![X]:(![Y]:(![Z]:(~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(fof_nnf,status(thm),[apart4])).
% 1.65/1.82 fof(c48,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|(![Z]:(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(shift_quantors,status(thm),[c47])).
% 1.65/1.82 fof(c50,axiom,(![X29]:(![X30]:(![X31]:(~distinct_points(X29,X30)|(distinct_points(X29,X31)|distinct_points(X30,X31)))))),inference(shift_quantors,status(thm),[fof(c49,axiom,(![X29]:(![X30]:(~distinct_points(X29,X30)|(![X31]:(distinct_points(X29,X31)|distinct_points(X30,X31)))))),inference(variable_rename,status(thm),[c48])).])).
% 1.65/1.82 cnf(c51,axiom,~distinct_points(X54,X52)|distinct_points(X54,X53)|distinct_points(X52,X53),inference(split_conjunct,status(thm),[c50])).
% 1.65/1.82 cnf(c36,axiom,~distinct_points(X84,X86)|~apart_point_and_line(X85,line_connecting(X84,X86))|distinct_points(X85,X86),inference(split_conjunct,status(thm),[c34])).
% 1.65/1.82 cnf(c121,plain,~distinct_points(skolem0001,skolem0002)|distinct_points(skolem0003,skolem0002),inference(resolution,status(thm),[c36, c5])).
% 1.65/1.82 cnf(c144,plain,distinct_points(skolem0003,skolem0002),inference(resolution,status(thm),[c121, c4])).
% 1.65/1.82 cnf(c156,plain,distinct_points(skolem0003,X92)|distinct_points(skolem0002,X92),inference(resolution,status(thm),[c144, c51])).
% 1.65/1.82 cnf(c159,plain,distinct_points(skolem0003,X160)|distinct_points(skolem0002,X161)|distinct_points(X160,X161),inference(resolution,status(thm),[c156, c51])).
% 1.65/1.82 cnf(c390,plain,distinct_points(skolem0003,X163)|distinct_points(X163,skolem0002),inference(resolution,status(thm),[c159, c60])).
% 1.65/1.82 cnf(c111,plain,~distinct_points(X224,X225)|distinct_points(skolem0003,X224)|distinct_lines(line_connecting(skolem0001,skolem0002),line_connecting(X224,X225)),inference(resolution,status(thm),[c35, c61])).
% 1.65/1.82 cnf(c499,plain,distinct_points(skolem0003,X777)|distinct_lines(line_connecting(skolem0001,skolem0002),line_connecting(X777,skolem0002)),inference(resolution,status(thm),[c111, c390])).
% 1.65/1.82 cnf(c3794,plain,distinct_lines(line_connecting(skolem0001,skolem0002),line_connecting(skolem0003,skolem0002)),inference(resolution,status(thm),[c499, c60])).
% 1.65/1.82 cnf(c3814,plain,~distinct_lines(line_connecting(skolem0001,skolem0002),line_connecting(skolem0003,skolem0001)),inference(resolution,status(thm),[c3794, c6])).
% 1.65/1.82 cnf(c3905,plain,apart_point_and_line(skolem0003,line_connecting(skolem0003,skolem0001)),inference(resolution,status(thm),[c3814, c61])).
% 1.65/1.82 cnf(c3912,plain,~distinct_points(skolem0003,skolem0001)|distinct_points(skolem0003,skolem0003),inference(resolution,status(thm),[c3905, c35])).
% 1.65/1.82 cnf(c3943,plain,distinct_points(skolem0003,skolem0003),inference(resolution,status(thm),[c3912, c112])).
% 1.65/1.82 cnf(c4032,plain,$false,inference(resolution,status(thm),[c3943, c60])).
% 1.65/1.82 # SZS output end CNFRefutation
% 1.65/1.82
% 1.65/1.82 # Initial clauses : 17
% 1.65/1.82 # Processed clauses : 143
% 1.65/1.82 # Factors computed : 233
% 1.65/1.82 # Resolvents computed: 3752
% 1.65/1.82 # Tautologies deleted: 0
% 1.65/1.82 # Forward subsumed : 389
% 1.65/1.82 # Backward subsumed : 9
% 1.65/1.82 # -------- CPU Time ---------
% 1.65/1.82 # User time : 1.461 s
% 1.65/1.82 # System time : 0.022 s
% 1.65/1.82 # Total time : 1.483 s
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