TSTP Solution File: GEO224+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO224+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 05:59:31 EDT 2022
% Result : Theorem 0.68s 0.88s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO224+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n009.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 : Fri Jun 17 15:23:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.68/0.88 # Version: 1.3
% 0.68/0.88 # SZS status Theorem
% 0.68/0.88 # SZS output start CNFRefutation
% 0.68/0.88 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),input).
% 0.68/0.88 fof(c29,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,status(thm),[ax2])).
% 0.68/0.88 fof(c30,axiom,(![X]:(![Y]:((~equal_lines(X,Y)|~distinct_lines(X,Y))&(distinct_lines(X,Y)|equal_lines(X,Y))))),inference(fof_nnf,status(thm),[c29])).
% 0.68/0.88 fof(c31,axiom,((![X]:(![Y]:(~equal_lines(X,Y)|~distinct_lines(X,Y))))&(![X]:(![Y]:(distinct_lines(X,Y)|equal_lines(X,Y))))),inference(shift_quantors,status(thm),[c30])).
% 0.68/0.88 fof(c33,axiom,(![X17]:(![X18]:(![X19]:(![X20]:((~equal_lines(X17,X18)|~distinct_lines(X17,X18))&(distinct_lines(X19,X20)|equal_lines(X19,X20))))))),inference(shift_quantors,status(thm),[fof(c32,axiom,((![X17]:(![X18]:(~equal_lines(X17,X18)|~distinct_lines(X17,X18))))&(![X19]:(![X20]:(distinct_lines(X19,X20)|equal_lines(X19,X20))))),inference(variable_rename,status(thm),[c31])).])).
% 0.68/0.88 cnf(c34,axiom,~equal_lines(X130,X129)|~distinct_lines(X130,X129),inference(split_conjunct,status(thm),[c33])).
% 0.68/0.88 fof(cp2,axiom,(![X]:(![Y]:(~apart_point_and_line(X,parallel_through_point(Y,X))))),input).
% 0.68/0.88 fof(c96,axiom,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,status(thm),[cp2])).
% 0.68/0.88 fof(c97,axiom,(![X57]:(![X58]:~apart_point_and_line(X57,parallel_through_point(X58,X57)))),inference(variable_rename,status(thm),[c96])).
% 0.68/0.88 cnf(c98,axiom,~apart_point_and_line(X105,parallel_through_point(X104,X105)),inference(split_conjunct,status(thm),[c97])).
% 0.68/0.88 fof(con,conjecture,(![X]:(![Y]:((point(X)&line(Y))=>(?[Z]:(point(Z)&incident_point_and_line(Z,Y)))))),input).
% 0.68/0.88 fof(c0,negated_conjecture,(~(![X]:(![Y]:((point(X)&line(Y))=>(?[Z]:(point(Z)&incident_point_and_line(Z,Y))))))),inference(assume_negation,status(cth),[con])).
% 0.68/0.88 fof(c1,negated_conjecture,(?[X]:(?[Y]:((point(X)&line(Y))&(![Z]:(~point(Z)|~incident_point_and_line(Z,Y)))))),inference(fof_nnf,status(thm),[c0])).
% 0.68/0.88 fof(c2,negated_conjecture,(?[X2]:(?[X3]:((point(X2)&line(X3))&(![X4]:(~point(X4)|~incident_point_and_line(X4,X3)))))),inference(variable_rename,status(thm),[c1])).
% 0.68/0.88 fof(c4,negated_conjecture,(![X4]:((point(skolem0001)&line(skolem0002))&(~point(X4)|~incident_point_and_line(X4,skolem0002)))),inference(shift_quantors,status(thm),[fof(c3,negated_conjecture,((point(skolem0001)&line(skolem0002))&(![X4]:(~point(X4)|~incident_point_and_line(X4,skolem0002)))),inference(skolemize,status(esa),[c2])).])).
% 0.68/0.88 cnf(c5,negated_conjecture,point(skolem0001),inference(split_conjunct,status(thm),[c4])).
% 0.68/0.88 cnf(c7,negated_conjecture,~point(X99)|~incident_point_and_line(X99,skolem0002),inference(split_conjunct,status(thm),[c4])).
% 0.68/0.88 fof(a4,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>(~apart_point_and_line(X,Y))))),input).
% 0.68/0.88 fof(c15,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,status(thm),[a4])).
% 0.68/0.88 fof(c16,axiom,(![X]:(![Y]:((~incident_point_and_line(X,Y)|~apart_point_and_line(X,Y))&(apart_point_and_line(X,Y)|incident_point_and_line(X,Y))))),inference(fof_nnf,status(thm),[c15])).
% 0.68/0.88 fof(c17,axiom,((![X]:(![Y]:(~incident_point_and_line(X,Y)|~apart_point_and_line(X,Y))))&(![X]:(![Y]:(apart_point_and_line(X,Y)|incident_point_and_line(X,Y))))),inference(shift_quantors,status(thm),[c16])).
% 0.68/0.88 fof(c19,axiom,(![X9]:(![X10]:(![X11]:(![X12]:((~incident_point_and_line(X9,X10)|~apart_point_and_line(X9,X10))&(apart_point_and_line(X11,X12)|incident_point_and_line(X11,X12))))))),inference(shift_quantors,status(thm),[fof(c18,axiom,((![X9]:(![X10]:(~incident_point_and_line(X9,X10)|~apart_point_and_line(X9,X10))))&(![X11]:(![X12]:(apart_point_and_line(X11,X12)|incident_point_and_line(X11,X12))))),inference(variable_rename,status(thm),[c17])).])).
% 0.68/0.88 cnf(c21,axiom,apart_point_and_line(X117,X116)|incident_point_and_line(X117,X116),inference(split_conjunct,status(thm),[c19])).
% 0.68/0.88 cnf(c168,plain,apart_point_and_line(X170,skolem0002)|~point(X170),inference(resolution,status(thm),[c21, c7])).
% 0.68/0.88 cnf(c193,plain,apart_point_and_line(skolem0001,skolem0002),inference(resolution,status(thm),[c168, c5])).
% 0.68/0.88 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),input).
% 0.68/0.88 fof(c110,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])).
% 0.68/0.88 fof(c111,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),[c110])).
% 0.68/0.88 fof(c113,axiom,(![X66]:(![X67]:(![X68]:(~apart_point_and_line(X66,X67)|(distinct_lines(X67,X68)|apart_point_and_line(X66,X68)))))),inference(shift_quantors,status(thm),[fof(c112,axiom,(![X66]:(![X67]:(~apart_point_and_line(X66,X67)|(![X68]:(distinct_lines(X67,X68)|apart_point_and_line(X66,X68)))))),inference(variable_rename,status(thm),[c111])).])).
% 0.68/0.88 cnf(c114,axiom,~apart_point_and_line(X342,X341)|distinct_lines(X341,X343)|apart_point_and_line(X342,X343),inference(split_conjunct,status(thm),[c113])).
% 0.68/0.88 cnf(c342,plain,distinct_lines(skolem0002,X344)|apart_point_and_line(skolem0001,X344),inference(resolution,status(thm),[c114, c193])).
% 0.68/0.88 cnf(c350,plain,distinct_lines(skolem0002,parallel_through_point(X346,skolem0001)),inference(resolution,status(thm),[c342, c98])).
% 0.68/0.88 cnf(c357,plain,~equal_lines(skolem0002,parallel_through_point(X352,skolem0001)),inference(resolution,status(thm),[c350, c34])).
% 0.68/0.88 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),input).
% 0.68/0.88 fof(c99,axiom,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,status(thm),[cp1])).
% 0.68/0.88 fof(c100,axiom,(![X59]:(![X60]:~convergent_lines(parallel_through_point(X60,X59),X60))),inference(variable_rename,status(thm),[c99])).
% 0.68/0.88 cnf(c101,axiom,~convergent_lines(parallel_through_point(X106,X107),X106),inference(split_conjunct,status(thm),[c100])).
% 0.68/0.88 cnf(c35,axiom,distinct_lines(X132,X131)|equal_lines(X132,X131),inference(split_conjunct,status(thm),[c33])).
% 0.68/0.88 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),input).
% 0.68/0.88 fof(c102,axiom,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,status(thm),[p1])).
% 0.68/0.88 fof(c103,axiom,(![X61]:(![X62]:(~distinct_lines(X61,X62)|convergent_lines(X61,X62)))),inference(variable_rename,status(thm),[c102])).
% 0.68/0.88 cnf(c104,axiom,~distinct_lines(X162,X163)|convergent_lines(X162,X163),inference(split_conjunct,status(thm),[c103])).
% 0.68/0.88 cnf(c189,plain,convergent_lines(X192,X191)|equal_lines(X192,X191),inference(resolution,status(thm),[c104, c35])).
% 0.68/0.88 cnf(c207,plain,equal_lines(parallel_through_point(X197,X198),X197),inference(resolution,status(thm),[c189, c101])).
% 0.68/0.88 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),input).
% 0.68/0.88 fof(c154,axiom,(![X]:~convergent_lines(X,X)),inference(fof_simplification,status(thm),[apart3])).
% 0.68/0.88 fof(c155,axiom,(![X93]:~convergent_lines(X93,X93)),inference(variable_rename,status(thm),[c154])).
% 0.68/0.88 cnf(c156,axiom,~convergent_lines(X96,X96),inference(split_conjunct,status(thm),[c155])).
% 0.68/0.88 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),input).
% 0.68/0.88 fof(c105,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,status(thm),[ceq3])).
% 0.68/0.88 fof(c106,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,status(thm),[c105])).
% 0.68/0.88 fof(c108,axiom,(![X63]:(![X64]:(![X65]:(~convergent_lines(X63,X64)|(distinct_lines(X64,X65)|convergent_lines(X63,X65)))))),inference(shift_quantors,status(thm),[fof(c107,axiom,(![X63]:(![X64]:(~convergent_lines(X63,X64)|(![X65]:(distinct_lines(X64,X65)|convergent_lines(X63,X65)))))),inference(variable_rename,status(thm),[c106])).])).
% 0.68/0.88 cnf(c109,axiom,~convergent_lines(X328,X329)|distinct_lines(X329,X330)|convergent_lines(X328,X330),inference(split_conjunct,status(thm),[c108])).
% 0.68/0.88 cnf(c335,plain,distinct_lines(X836,X837)|convergent_lines(X838,X837)|equal_lines(X838,X836),inference(resolution,status(thm),[c109, c189])).
% 0.68/0.88 cnf(c997,plain,distinct_lines(X842,X841)|equal_lines(X841,X842),inference(resolution,status(thm),[c335, c156])).
% 0.68/0.88 cnf(c1019,plain,equal_lines(X853,X852)|~equal_lines(X852,X853),inference(resolution,status(thm),[c997, c34])).
% 0.68/0.88 cnf(c1044,plain,equal_lines(X855,parallel_through_point(X855,X856)),inference(resolution,status(thm),[c1019, c207])).
% 0.68/0.88 cnf(c1057,plain,$false,inference(resolution,status(thm),[c1044, c357])).
% 0.68/0.88 # SZS output end CNFRefutation
% 0.68/0.88
% 0.68/0.88 # Initial clauses : 49
% 0.68/0.88 # Processed clauses : 185
% 0.68/0.88 # Factors computed : 5
% 0.68/0.88 # Resolvents computed: 901
% 0.68/0.88 # Tautologies deleted: 8
% 0.68/0.88 # Forward subsumed : 167
% 0.68/0.88 # Backward subsumed : 1
% 0.68/0.88 # -------- CPU Time ---------
% 0.68/0.88 # User time : 0.503 s
% 0.68/0.88 # System time : 0.020 s
% 0.68/0.88 # Total time : 0.523 s
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