TSTP Solution File: GEO183+2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO183+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 05:58:59 EDT 2022
% Result : Theorem 2.43s 2.61s
% Output : Refutation 2.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO183+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 08:45:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.43/2.61 # Version: 1.3
% 2.43/2.61 # SZS status Theorem
% 2.43/2.61 # SZS output start CNFRefutation
% 2.43/2.61 fof(apart1,axiom,(![X]:(~distinct_points(X,X))),input).
% 2.43/2.61 fof(c61,axiom,(![X]:~distinct_points(X,X)),inference(fof_simplification,status(thm),[apart1])).
% 2.43/2.61 fof(c62,axiom,(![X35]:~distinct_points(X35,X35)),inference(variable_rename,status(thm),[c61])).
% 2.43/2.61 cnf(c63,axiom,~distinct_points(X38,X38),inference(split_conjunct,status(thm),[c62])).
% 2.43/2.61 fof(apart4,axiom,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(distinct_points(X,Z)|distinct_points(Y,Z)))))),input).
% 2.43/2.61 fof(c50,axiom,(![X]:(![Y]:(![Z]:(~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(fof_nnf,status(thm),[apart4])).
% 2.43/2.61 fof(c51,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|(![Z]:(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(shift_quantors,status(thm),[c50])).
% 2.43/2.61 fof(c53,axiom,(![X30]:(![X31]:(![X32]:(~distinct_points(X30,X31)|(distinct_points(X30,X32)|distinct_points(X31,X32)))))),inference(shift_quantors,status(thm),[fof(c52,axiom,(![X30]:(![X31]:(~distinct_points(X30,X31)|(![X32]:(distinct_points(X30,X32)|distinct_points(X31,X32)))))),inference(variable_rename,status(thm),[c51])).])).
% 2.43/2.61 cnf(c54,axiom,~distinct_points(X79,X77)|distinct_points(X79,X78)|distinct_points(X77,X78),inference(split_conjunct,status(thm),[c53])).
% 2.43/2.61 fof(con,conjecture,(![X]:(![Y]:(![U]:(![V]:(((distinct_points(X,Y)&convergent_lines(U,V))&(~distinct_lines(U,line_connecting(X,Y))))=>((~apart_point_and_line(X,U))&(~apart_point_and_line(Y,U)))))))),input).
% 2.43/2.61 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![U]:(![V]:(((distinct_points(X,Y)&convergent_lines(U,V))&(~distinct_lines(U,line_connecting(X,Y))))=>((~apart_point_and_line(X,U))&(~apart_point_and_line(Y,U))))))))),inference(assume_negation,status(cth),[con])).
% 2.43/2.61 fof(c1,negated_conjecture,(~(![X]:(![Y]:(![U]:(![V]:(((distinct_points(X,Y)&convergent_lines(U,V))&~distinct_lines(U,line_connecting(X,Y)))=>(~apart_point_and_line(X,U)&~apart_point_and_line(Y,U)))))))),inference(fof_simplification,status(thm),[c0])).
% 2.43/2.61 fof(c2,negated_conjecture,(?[X]:(?[Y]:(?[U]:(?[V]:(((distinct_points(X,Y)&convergent_lines(U,V))&~distinct_lines(U,line_connecting(X,Y)))&(apart_point_and_line(X,U)|apart_point_and_line(Y,U))))))),inference(fof_nnf,status(thm),[c1])).
% 2.43/2.61 fof(c3,negated_conjecture,(?[X]:(?[Y]:(?[U]:(((distinct_points(X,Y)&(?[V]:convergent_lines(U,V)))&~distinct_lines(U,line_connecting(X,Y)))&(apart_point_and_line(X,U)|apart_point_and_line(Y,U)))))),inference(shift_quantors,status(thm),[c2])).
% 2.43/2.61 fof(c4,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(((distinct_points(X2,X3)&(?[X5]:convergent_lines(X4,X5)))&~distinct_lines(X4,line_connecting(X2,X3)))&(apart_point_and_line(X2,X4)|apart_point_and_line(X3,X4)))))),inference(variable_rename,status(thm),[c3])).
% 2.43/2.61 fof(c5,negated_conjecture,(((distinct_points(skolem0001,skolem0002)&convergent_lines(skolem0003,skolem0004))&~distinct_lines(skolem0003,line_connecting(skolem0001,skolem0002)))&(apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0002,skolem0003))),inference(skolemize,status(esa),[c4])).
% 2.43/2.61 cnf(c6,negated_conjecture,distinct_points(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c5])).
% 2.43/2.61 cnf(c110,plain,distinct_points(skolem0001,X80)|distinct_points(skolem0002,X80),inference(resolution,status(thm),[c54, c6])).
% 2.43/2.61 cnf(c112,plain,distinct_points(skolem0002,X166)|distinct_points(skolem0001,X167)|distinct_points(X166,X167),inference(resolution,status(thm),[c110, c54])).
% 2.43/2.61 cnf(c454,plain,distinct_points(skolem0002,X171)|distinct_points(X171,skolem0001),inference(resolution,status(thm),[c112, c63])).
% 2.43/2.61 cnf(c499,plain,distinct_points(X365,skolem0001)|distinct_points(skolem0002,X366)|distinct_points(X365,X366),inference(resolution,status(thm),[c454, c54])).
% 2.43/2.61 cnf(c1761,plain,distinct_points(X368,skolem0001)|distinct_points(X368,skolem0002),inference(resolution,status(thm),[c499, c63])).
% 2.43/2.61 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).
% 2.43/2.61 fof(c33,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])).
% 2.43/2.61 fof(c34,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),[c33])).
% 2.43/2.61 fof(c36,axiom,(![X21]:(![X22]:(![X23]:(~distinct_points(X21,X22)|(~apart_point_and_line(X23,line_connecting(X21,X22))|(distinct_points(X23,X21)&distinct_points(X23,X22))))))),inference(shift_quantors,status(thm),[fof(c35,axiom,(![X21]:(![X22]:(~distinct_points(X21,X22)|(![X23]:(~apart_point_and_line(X23,line_connecting(X21,X22))|(distinct_points(X23,X21)&distinct_points(X23,X22))))))),inference(variable_rename,status(thm),[c34])).])).
% 2.43/2.61 fof(c37,axiom,(![X21]:(![X22]:(![X23]:((~distinct_points(X21,X22)|(~apart_point_and_line(X23,line_connecting(X21,X22))|distinct_points(X23,X21)))&(~distinct_points(X21,X22)|(~apart_point_and_line(X23,line_connecting(X21,X22))|distinct_points(X23,X22))))))),inference(distribute,status(thm),[c36])).
% 2.43/2.61 cnf(c38,axiom,~distinct_points(X67,X66)|~apart_point_and_line(X65,line_connecting(X67,X66))|distinct_points(X65,X67),inference(split_conjunct,status(thm),[c37])).
% 2.43/2.61 cnf(c8,negated_conjecture,~distinct_lines(skolem0003,line_connecting(skolem0001,skolem0002)),inference(split_conjunct,status(thm),[c5])).
% 2.43/2.61 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),input).
% 2.43/2.61 fof(c13,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])).
% 2.43/2.61 fof(c14,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),[c13])).
% 2.43/2.61 fof(c16,axiom,(![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,axiom,(![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])).])).
% 2.43/2.61 cnf(c17,axiom,~apart_point_and_line(X43,X42)|distinct_lines(X42,X41)|apart_point_and_line(X43,X41),inference(split_conjunct,status(thm),[c16])).
% 2.43/2.61 cnf(c9,negated_conjecture,apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c5])).
% 2.43/2.61 fof(ceq1,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_points(X,Z)|apart_point_and_line(Z,Y)))))),input).
% 2.43/2.61 fof(c18,axiom,(![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])).
% 2.43/2.61 fof(c19,axiom,(![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])).
% 2.43/2.61 fof(c21,axiom,(![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,axiom,(![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])).])).
% 2.43/2.61 cnf(c22,axiom,~apart_point_and_line(X46,X44)|distinct_points(X46,X45)|apart_point_and_line(X45,X44),inference(split_conjunct,status(thm),[c21])).
% 2.43/2.61 cnf(c67,plain,distinct_points(skolem0002,X90)|apart_point_and_line(X90,skolem0003)|apart_point_and_line(skolem0001,skolem0003),inference(resolution,status(thm),[c22, c9])).
% 2.43/2.61 cnf(c169,plain,apart_point_and_line(X383,skolem0003)|apart_point_and_line(skolem0001,skolem0003)|distinct_points(skolem0002,X384)|distinct_points(X383,X384),inference(resolution,status(thm),[c67, c54])).
% 2.43/2.61 cnf(c1948,plain,apart_point_and_line(X796,skolem0003)|apart_point_and_line(skolem0001,skolem0003)|distinct_points(X796,skolem0002),inference(resolution,status(thm),[c169, c63])).
% 2.43/2.61 cnf(c39,axiom,~distinct_points(X74,X73)|~apart_point_and_line(X72,line_connecting(X74,X73))|distinct_points(X72,X73),inference(split_conjunct,status(thm),[c37])).
% 2.43/2.61 cnf(c65,plain,distinct_lines(skolem0003,X81)|apart_point_and_line(skolem0002,X81)|apart_point_and_line(skolem0001,skolem0003),inference(resolution,status(thm),[c17, c9])).
% 2.43/2.61 cnf(c116,plain,apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0001,skolem0003),inference(resolution,status(thm),[c65, c8])).
% 2.43/2.61 cnf(c513,plain,apart_point_and_line(skolem0001,skolem0003)|~distinct_points(skolem0001,skolem0002)|distinct_points(skolem0002,skolem0002),inference(resolution,status(thm),[c116, c39])).
% 2.43/2.61 cnf(c6535,plain,apart_point_and_line(skolem0001,skolem0003)|distinct_points(skolem0002,skolem0002),inference(resolution,status(thm),[c513, c1948])).
% 2.43/2.61 cnf(c6590,plain,apart_point_and_line(skolem0001,skolem0003),inference(resolution,status(thm),[c6535, c63])).
% 2.43/2.61 cnf(c6600,plain,distinct_lines(skolem0003,X1210)|apart_point_and_line(skolem0001,X1210),inference(resolution,status(thm),[c6590, c17])).
% 2.43/2.61 cnf(c6604,plain,apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002)),inference(resolution,status(thm),[c6600, c8])).
% 2.43/2.61 cnf(c6642,plain,~distinct_points(skolem0001,skolem0002)|distinct_points(skolem0001,skolem0001),inference(resolution,status(thm),[c6604, c38])).
% 2.43/2.61 cnf(c6790,plain,distinct_points(skolem0001,skolem0001),inference(resolution,status(thm),[c6642, c1761])).
% 2.43/2.61 cnf(c6815,plain,$false,inference(resolution,status(thm),[c6790, c63])).
% 2.43/2.61 # SZS output end CNFRefutation
% 2.43/2.61
% 2.43/2.61 # Initial clauses : 18
% 2.43/2.61 # Processed clauses : 243
% 2.43/2.61 # Factors computed : 236
% 2.43/2.61 # Resolvents computed: 6524
% 2.43/2.61 # Tautologies deleted: 1
% 2.43/2.61 # Forward subsumed : 748
% 2.43/2.61 # Backward subsumed : 48
% 2.43/2.61 # -------- CPU Time ---------
% 2.43/2.61 # User time : 2.233 s
% 2.43/2.61 # System time : 0.032 s
% 2.43/2.61 # Total time : 2.265 s
%------------------------------------------------------------------------------