TSTP Solution File: GEO174+2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO174+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 05:58:52 EDT 2022
% Result : Theorem 2.51s 2.70s
% Output : Refutation 2.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO174+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 13:24:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.51/2.70 # Version: 1.3
% 2.51/2.70 # SZS status Theorem
% 2.51/2.70 # SZS output start CNFRefutation
% 2.51/2.70 fof(apart1,axiom,(![X]:(~distinct_points(X,X))),input).
% 2.51/2.70 fof(c60,axiom,(![X]:~distinct_points(X,X)),inference(fof_simplification,status(thm),[apart1])).
% 2.51/2.70 fof(c61,axiom,(![X35]:~distinct_points(X35,X35)),inference(variable_rename,status(thm),[c60])).
% 2.51/2.70 cnf(c62,axiom,~distinct_points(X38,X38),inference(split_conjunct,status(thm),[c61])).
% 2.51/2.70 fof(apart4,axiom,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(distinct_points(X,Z)|distinct_points(Y,Z)))))),input).
% 2.51/2.70 fof(c49,axiom,(![X]:(![Y]:(![Z]:(~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(fof_nnf,status(thm),[apart4])).
% 2.51/2.70 fof(c50,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|(![Z]:(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(shift_quantors,status(thm),[c49])).
% 2.51/2.70 fof(c52,axiom,(![X30]:(![X31]:(![X32]:(~distinct_points(X30,X31)|(distinct_points(X30,X32)|distinct_points(X31,X32)))))),inference(shift_quantors,status(thm),[fof(c51,axiom,(![X30]:(![X31]:(~distinct_points(X30,X31)|(![X32]:(distinct_points(X30,X32)|distinct_points(X31,X32)))))),inference(variable_rename,status(thm),[c50])).])).
% 2.51/2.70 cnf(c53,axiom,~distinct_points(X78,X79)|distinct_points(X78,X77)|distinct_points(X79,X77),inference(split_conjunct,status(thm),[c52])).
% 2.51/2.70 fof(con,conjecture,(![X]:(![Y]:(![U]:(![V]:(((distinct_points(X,Y)&convergent_lines(U,V))&(apart_point_and_line(X,U)|apart_point_and_line(Y,U)))=>distinct_lines(U,line_connecting(X,Y))))))),input).
% 2.51/2.70 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![U]:(![V]:(((distinct_points(X,Y)&convergent_lines(U,V))&(apart_point_and_line(X,U)|apart_point_and_line(Y,U)))=>distinct_lines(U,line_connecting(X,Y)))))))),inference(assume_negation,status(cth),[con])).
% 2.51/2.70 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[U]:(?[V]:(((distinct_points(X,Y)&convergent_lines(U,V))&(apart_point_and_line(X,U)|apart_point_and_line(Y,U)))&~distinct_lines(U,line_connecting(X,Y))))))),inference(fof_nnf,status(thm),[c0])).
% 2.51/2.70 fof(c2,negated_conjecture,(?[X]:(?[Y]:(?[U]:(((distinct_points(X,Y)&(?[V]:convergent_lines(U,V)))&(apart_point_and_line(X,U)|apart_point_and_line(Y,U)))&~distinct_lines(U,line_connecting(X,Y)))))),inference(shift_quantors,status(thm),[c1])).
% 2.51/2.70 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(((distinct_points(X2,X3)&(?[X5]:convergent_lines(X4,X5)))&(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])).
% 2.51/2.70 fof(c4,negated_conjecture,(((distinct_points(skolem0001,skolem0002)&convergent_lines(skolem0003,skolem0004))&(apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0002,skolem0003)))&~distinct_lines(skolem0003,line_connecting(skolem0001,skolem0002))),inference(skolemize,status(esa),[c3])).
% 2.51/2.70 cnf(c5,negated_conjecture,distinct_points(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c4])).
% 2.51/2.70 cnf(c109,plain,distinct_points(skolem0001,X80)|distinct_points(skolem0002,X80),inference(resolution,status(thm),[c53, c5])).
% 2.51/2.70 cnf(c112,plain,distinct_points(skolem0001,X170)|distinct_points(skolem0002,X169)|distinct_points(X170,X169),inference(resolution,status(thm),[c109, c53])).
% 2.51/2.70 cnf(c480,plain,distinct_points(skolem0001,X174)|distinct_points(X174,skolem0002),inference(resolution,status(thm),[c112, c62])).
% 2.51/2.70 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).
% 2.51/2.70 fof(c32,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])).
% 2.51/2.70 fof(c33,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),[c32])).
% 2.51/2.70 fof(c35,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(c34,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),[c33])).])).
% 2.51/2.70 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(X21,X22)|(~apart_point_and_line(X23,line_connecting(X21,X22))|distinct_points(X23,X22))))))),inference(distribute,status(thm),[c35])).
% 2.51/2.70 cnf(c37,axiom,~distinct_points(X66,X67)|~apart_point_and_line(X65,line_connecting(X66,X67))|distinct_points(X65,X66),inference(split_conjunct,status(thm),[c36])).
% 2.51/2.70 cnf(c8,negated_conjecture,~distinct_lines(skolem0003,line_connecting(skolem0001,skolem0002)),inference(split_conjunct,status(thm),[c4])).
% 2.51/2.70 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),input).
% 2.51/2.70 fof(c12,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])).
% 2.51/2.70 fof(c13,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),[c12])).
% 2.51/2.70 fof(c15,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(c14,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),[c13])).])).
% 2.51/2.70 cnf(c16,axiom,~apart_point_and_line(X42,X41)|distinct_lines(X41,X43)|apart_point_and_line(X42,X43),inference(split_conjunct,status(thm),[c15])).
% 2.51/2.70 cnf(c7,negated_conjecture,apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c4])).
% 2.51/2.70 fof(ceq1,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_points(X,Z)|apart_point_and_line(Z,Y)))))),input).
% 2.51/2.70 fof(c17,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])).
% 2.51/2.70 fof(c18,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),[c17])).
% 2.51/2.70 fof(c20,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(c19,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),[c18])).])).
% 2.51/2.70 cnf(c21,axiom,~apart_point_and_line(X44,X46)|distinct_points(X44,X45)|apart_point_and_line(X45,X46),inference(split_conjunct,status(thm),[c20])).
% 2.51/2.70 cnf(c66,plain,distinct_points(skolem0002,X90)|apart_point_and_line(X90,skolem0003)|apart_point_and_line(skolem0001,skolem0003),inference(resolution,status(thm),[c21, c7])).
% 2.51/2.70 cnf(c167,plain,apart_point_and_line(X384,skolem0003)|apart_point_and_line(skolem0001,skolem0003)|distinct_points(skolem0002,X383)|distinct_points(X384,X383),inference(resolution,status(thm),[c66, c53])).
% 2.51/2.70 cnf(c1949,plain,apart_point_and_line(X796,skolem0003)|apart_point_and_line(skolem0001,skolem0003)|distinct_points(X796,skolem0002),inference(resolution,status(thm),[c167, c62])).
% 2.51/2.70 cnf(c38,axiom,~distinct_points(X73,X74)|~apart_point_and_line(X72,line_connecting(X73,X74))|distinct_points(X72,X74),inference(split_conjunct,status(thm),[c36])).
% 2.51/2.70 cnf(c64,plain,distinct_lines(skolem0003,X81)|apart_point_and_line(skolem0002,X81)|apart_point_and_line(skolem0001,skolem0003),inference(resolution,status(thm),[c16, c7])).
% 2.51/2.70 cnf(c115,plain,apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0001,skolem0003),inference(resolution,status(thm),[c64, c8])).
% 2.51/2.70 cnf(c511,plain,apart_point_and_line(skolem0001,skolem0003)|~distinct_points(skolem0001,skolem0002)|distinct_points(skolem0002,skolem0002),inference(resolution,status(thm),[c115, c38])).
% 2.51/2.70 cnf(c6704,plain,apart_point_and_line(skolem0001,skolem0003)|distinct_points(skolem0002,skolem0002),inference(resolution,status(thm),[c511, c1949])).
% 2.51/2.70 cnf(c6738,plain,apart_point_and_line(skolem0001,skolem0003),inference(resolution,status(thm),[c6704, c62])).
% 2.51/2.70 cnf(c6835,plain,distinct_lines(skolem0003,X1212)|apart_point_and_line(skolem0001,X1212),inference(resolution,status(thm),[c6738, c16])).
% 2.51/2.70 cnf(c6838,plain,apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002)),inference(resolution,status(thm),[c6835, c8])).
% 2.51/2.70 cnf(c6935,plain,~distinct_points(skolem0001,skolem0002)|distinct_points(skolem0001,skolem0001),inference(resolution,status(thm),[c6838, c37])).
% 2.51/2.70 cnf(c7011,plain,distinct_points(skolem0001,skolem0001),inference(resolution,status(thm),[c6935, c480])).
% 2.51/2.70 cnf(c7049,plain,$false,inference(resolution,status(thm),[c7011, c62])).
% 2.51/2.70 # SZS output end CNFRefutation
% 2.51/2.70
% 2.51/2.70 # Initial clauses : 18
% 2.51/2.70 # Processed clauses : 247
% 2.51/2.70 # Factors computed : 236
% 2.51/2.70 # Resolvents computed: 6761
% 2.51/2.70 # Tautologies deleted: 1
% 2.51/2.70 # Forward subsumed : 746
% 2.51/2.70 # Backward subsumed : 51
% 2.51/2.70 # -------- CPU Time ---------
% 2.51/2.70 # User time : 2.328 s
% 2.51/2.70 # System time : 0.031 s
% 2.51/2.70 # Total time : 2.359 s
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