TSTP Solution File: GEO200+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO200+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n023.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 05:59:12 EDT 2022
% Result : Theorem 197.47s 197.63s
% Output : Refutation 197.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO200+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n023.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 : Fri Jun 17 15:53:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 197.47/197.63 # Version: 1.3
% 197.47/197.63 # SZS status Theorem
% 197.47/197.63 # SZS output start CNFRefutation
% 197.47/197.63 fof(apart1,axiom,(![X]:(~distinct_points(X,X))),input).
% 197.47/197.63 fof(c62,axiom,(![X]:~distinct_points(X,X)),inference(fof_simplification,status(thm),[apart1])).
% 197.47/197.63 fof(c63,axiom,(![X36]:~distinct_points(X36,X36)),inference(variable_rename,status(thm),[c62])).
% 197.47/197.63 cnf(c64,axiom,~distinct_points(X39,X39),inference(split_conjunct,status(thm),[c63])).
% 197.47/197.63 fof(con,conjecture,(![X]:(![Y]:(distinct_points(X,Y)=>(~distinct_lines(line_connecting(X,Y),line_connecting(Y,X)))))),input).
% 197.47/197.63 fof(c0,negated_conjecture,(~(![X]:(![Y]:(distinct_points(X,Y)=>(~distinct_lines(line_connecting(X,Y),line_connecting(Y,X))))))),inference(assume_negation,status(cth),[con])).
% 197.47/197.63 fof(c1,negated_conjecture,(~(![X]:(![Y]:(distinct_points(X,Y)=>~distinct_lines(line_connecting(X,Y),line_connecting(Y,X)))))),inference(fof_simplification,status(thm),[c0])).
% 197.47/197.63 fof(c2,negated_conjecture,(?[X]:(?[Y]:(distinct_points(X,Y)&distinct_lines(line_connecting(X,Y),line_connecting(Y,X))))),inference(fof_nnf,status(thm),[c1])).
% 197.47/197.63 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(distinct_points(X2,X3)&distinct_lines(line_connecting(X2,X3),line_connecting(X3,X2))))),inference(variable_rename,status(thm),[c2])).
% 197.47/197.63 fof(c4,negated_conjecture,(distinct_points(skolem0001,skolem0002)&distinct_lines(line_connecting(skolem0001,skolem0002),line_connecting(skolem0002,skolem0001))),inference(skolemize,status(esa),[c3])).
% 197.47/197.63 cnf(c5,negated_conjecture,distinct_points(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c4])).
% 197.47/197.63 fof(apart4,axiom,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(distinct_points(X,Z)|distinct_points(Y,Z)))))),input).
% 197.47/197.63 fof(c51,axiom,(![X]:(![Y]:(![Z]:(~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(fof_nnf,status(thm),[apart4])).
% 197.47/197.63 fof(c52,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|(![Z]:(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(shift_quantors,status(thm),[c51])).
% 197.47/197.63 fof(c54,axiom,(![X31]:(![X32]:(![X33]:(~distinct_points(X31,X32)|(distinct_points(X31,X33)|distinct_points(X32,X33)))))),inference(shift_quantors,status(thm),[fof(c53,axiom,(![X31]:(![X32]:(~distinct_points(X31,X32)|(![X33]:(distinct_points(X31,X33)|distinct_points(X32,X33)))))),inference(variable_rename,status(thm),[c52])).])).
% 197.47/197.63 cnf(c55,axiom,~distinct_points(X65,X63)|distinct_points(X65,X64)|distinct_points(X63,X64),inference(split_conjunct,status(thm),[c54])).
% 197.47/197.63 cnf(c66,plain,distinct_points(skolem0001,X66)|distinct_points(skolem0002,X66),inference(resolution,status(thm),[c55, c5])).
% 197.47/197.63 cnf(c68,plain,distinct_points(skolem0002,skolem0001),inference(resolution,status(thm),[c66, c64])).
% 197.47/197.63 fof(ci1,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(X,line_connecting(X,Y)))))),input).
% 197.47/197.63 fof(c37,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_simplification,status(thm),[ci1])).
% 197.47/197.63 fof(c38,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_nnf,status(thm),[c37])).
% 197.47/197.63 fof(c39,axiom,(![X23]:(![X24]:(~distinct_points(X23,X24)|~apart_point_and_line(X23,line_connecting(X23,X24))))),inference(variable_rename,status(thm),[c38])).
% 197.47/197.63 cnf(c40,axiom,~distinct_points(X47,X46)|~apart_point_and_line(X47,line_connecting(X47,X46)),inference(split_conjunct,status(thm),[c39])).
% 197.47/197.63 fof(ci2,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(Y,line_connecting(X,Y)))))),input).
% 197.47/197.63 fof(c33,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_simplification,status(thm),[ci2])).
% 197.47/197.63 fof(c34,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_nnf,status(thm),[c33])).
% 197.47/197.63 fof(c35,axiom,(![X21]:(![X22]:(~distinct_points(X21,X22)|~apart_point_and_line(X22,line_connecting(X21,X22))))),inference(variable_rename,status(thm),[c34])).
% 197.47/197.63 cnf(c36,axiom,~distinct_points(X44,X45)|~apart_point_and_line(X45,line_connecting(X44,X45)),inference(split_conjunct,status(thm),[c35])).
% 197.47/197.63 cnf(c67,plain,distinct_points(skolem0002,X72)|distinct_points(skolem0001,X73)|distinct_points(X72,X73),inference(resolution,status(thm),[c66, c55])).
% 197.47/197.63 cnf(c78,plain,distinct_points(skolem0002,X75)|distinct_points(X75,skolem0001),inference(resolution,status(thm),[c67, c64])).
% 197.47/197.63 cnf(c6,negated_conjecture,distinct_lines(line_connecting(skolem0001,skolem0002),line_connecting(skolem0002,skolem0001)),inference(split_conjunct,status(thm),[c4])).
% 197.47/197.63 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))))))),input).
% 197.47/197.63 fof(c22,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))))))),inference(fof_nnf,status(thm),[cu1])).
% 197.47/197.63 fof(c23,axiom,(![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])).
% 197.47/197.63 cnf(c24,axiom,~distinct_points(X69,X70)|~distinct_lines(X67,X68)|apart_point_and_line(X69,X67)|apart_point_and_line(X69,X68)|apart_point_and_line(X70,X67)|apart_point_and_line(X70,X68),inference(split_conjunct,status(thm),[c23])).
% 197.47/197.63 cnf(c72,plain,~distinct_points(X85,X84)|apart_point_and_line(X85,line_connecting(skolem0001,skolem0002))|apart_point_and_line(X85,line_connecting(skolem0002,skolem0001))|apart_point_and_line(X84,line_connecting(skolem0001,skolem0002))|apart_point_and_line(X84,line_connecting(skolem0002,skolem0001)),inference(resolution,status(thm),[c24, c6])).
% 197.47/197.63 cnf(c116,plain,apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0002,line_connecting(skolem0002,skolem0001))|apart_point_and_line(X294,line_connecting(skolem0001,skolem0002))|apart_point_and_line(X294,line_connecting(skolem0002,skolem0001))|distinct_points(X294,skolem0001),inference(resolution,status(thm),[c72, c78])).
% 197.47/197.63 cnf(c69,plain,distinct_points(skolem0001,X79)|distinct_points(skolem0002,X80)|distinct_points(X79,X80),inference(resolution,status(thm),[c66, c55])).
% 197.47/197.63 cnf(c96,plain,distinct_points(skolem0001,X82)|distinct_points(X82,skolem0002),inference(resolution,status(thm),[c69, c64])).
% 197.47/197.63 cnf(c106,plain,apart_point_and_line(X203,line_connecting(skolem0001,skolem0002))|apart_point_and_line(X203,line_connecting(skolem0002,skolem0001))|apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0002,line_connecting(skolem0002,skolem0001))|distinct_points(skolem0001,X203),inference(resolution,status(thm),[c72, c96])).
% 197.47/197.63 cnf(c112,plain,apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0001,line_connecting(skolem0002,skolem0001))|apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0002,line_connecting(skolem0002,skolem0001)),inference(resolution,status(thm),[c72, c5])).
% 197.47/197.63 cnf(c593,plain,apart_point_and_line(skolem0001,line_connecting(skolem0002,skolem0001))|apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0002,line_connecting(skolem0002,skolem0001))|~distinct_points(skolem0001,skolem0002),inference(resolution,status(thm),[c112, c40])).
% 197.47/197.63 cnf(c28197,plain,apart_point_and_line(skolem0001,line_connecting(skolem0002,skolem0001))|apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0002,line_connecting(skolem0002,skolem0001)),inference(resolution,status(thm),[c593, c106])).
% 197.47/197.63 cnf(c113506,plain,apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0002,line_connecting(skolem0002,skolem0001))|~distinct_points(skolem0002,skolem0001),inference(resolution,status(thm),[c28197, c36])).
% 197.47/197.63 cnf(c113998,plain,apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0002,line_connecting(skolem0002,skolem0001)),inference(resolution,status(thm),[c113506, c116])).
% 197.47/197.63 cnf(c115579,plain,apart_point_and_line(skolem0002,line_connecting(skolem0002,skolem0001))|~distinct_points(skolem0001,skolem0002),inference(resolution,status(thm),[c113998, c36])).
% 197.47/197.63 cnf(c117240,plain,apart_point_and_line(skolem0002,line_connecting(skolem0002,skolem0001)),inference(resolution,status(thm),[c115579, c5])).
% 197.47/197.63 cnf(c117295,plain,~distinct_points(skolem0002,skolem0001),inference(resolution,status(thm),[c117240, c40])).
% 197.47/197.63 cnf(c118182,plain,$false,inference(resolution,status(thm),[c117295, c68])).
% 197.47/197.63 # SZS output end CNFRefutation
% 197.47/197.63
% 197.47/197.63 # Initial clauses : 16
% 197.47/197.63 # Processed clauses : 825
% 197.47/197.63 # Factors computed : 6099
% 197.47/197.63 # Resolvents computed: 112817
% 197.47/197.63 # Tautologies deleted: 11
% 197.47/197.63 # Forward subsumed : 5576
% 197.47/197.63 # Backward subsumed : 185
% 197.47/197.63 # -------- CPU Time ---------
% 197.47/197.63 # User time : 196.798 s
% 197.47/197.63 # System time : 0.503 s
% 197.47/197.63 # Total time : 197.301 s
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