TSTP Solution File: GEO182+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO182+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 05:58:58 EDT 2022
% Result : Theorem 2.45s 2.67s
% Output : Refutation 2.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO182+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n029.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 03:48:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.45/2.67 # Version: 1.3
% 2.45/2.67 # SZS status Theorem
% 2.45/2.67 # SZS output start CNFRefutation
% 2.45/2.67 fof(con,conjecture,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(apart_point_and_line(Z,line_connecting(X,Y))=>apart_point_and_line(Z,line_connecting(Y,X))))))),input).
% 2.45/2.67 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(apart_point_and_line(Z,line_connecting(X,Y))=>apart_point_and_line(Z,line_connecting(Y,X)))))))),inference(assume_negation,status(cth),[con])).
% 2.45/2.67 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[Z]:(distinct_points(X,Y)&(apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(Z,line_connecting(Y,X))))))),inference(fof_nnf,status(thm),[c0])).
% 2.45/2.67 fof(c2,negated_conjecture,(?[X]:(?[Y]:(distinct_points(X,Y)&(?[Z]:(apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(Z,line_connecting(Y,X))))))),inference(shift_quantors,status(thm),[c1])).
% 2.45/2.67 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(distinct_points(X2,X3)&(?[X4]:(apart_point_and_line(X4,line_connecting(X2,X3))&~apart_point_and_line(X4,line_connecting(X3,X2))))))),inference(variable_rename,status(thm),[c2])).
% 2.45/2.67 fof(c4,negated_conjecture,(distinct_points(skolem0001,skolem0002)&(apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002))&~apart_point_and_line(skolem0003,line_connecting(skolem0002,skolem0001)))),inference(skolemize,status(esa),[c3])).
% 2.45/2.67 cnf(c6,negated_conjecture,apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)),inference(split_conjunct,status(thm),[c4])).
% 2.45/2.67 fof(a4,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>(~apart_point_and_line(X,Y))))),input).
% 2.45/2.67 fof(c15,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,status(thm),[a4])).
% 2.45/2.67 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])).
% 2.45/2.67 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])).
% 2.45/2.67 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])).])).
% 2.45/2.67 cnf(c20,axiom,~incident_point_and_line(X113,X114)|~apart_point_and_line(X113,X114),inference(split_conjunct,status(thm),[c19])).
% 2.45/2.67 cnf(c165,plain,~incident_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)),inference(resolution,status(thm),[c20, c6])).
% 2.45/2.67 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),input).
% 2.45/2.67 fof(c29,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,status(thm),[ax2])).
% 2.45/2.67 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])).
% 2.45/2.67 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])).
% 2.45/2.67 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])).])).
% 2.45/2.67 cnf(c34,axiom,~equal_lines(X129,X128)|~distinct_lines(X129,X128),inference(split_conjunct,status(thm),[c33])).
% 2.45/2.67 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),input).
% 2.45/2.67 fof(c154,axiom,(![X]:~convergent_lines(X,X)),inference(fof_simplification,status(thm),[apart3])).
% 2.45/2.67 fof(c155,axiom,(![X93]:~convergent_lines(X93,X93)),inference(variable_rename,status(thm),[c154])).
% 2.45/2.67 cnf(c156,axiom,~convergent_lines(X96,X96),inference(split_conjunct,status(thm),[c155])).
% 2.45/2.67 cnf(c35,axiom,distinct_lines(X130,X131)|equal_lines(X130,X131),inference(split_conjunct,status(thm),[c33])).
% 2.45/2.67 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),input).
% 2.45/2.67 fof(c102,axiom,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,status(thm),[p1])).
% 2.45/2.67 fof(c103,axiom,(![X61]:(![X62]:(~distinct_lines(X61,X62)|convergent_lines(X61,X62)))),inference(variable_rename,status(thm),[c102])).
% 2.45/2.67 cnf(c104,axiom,~distinct_lines(X163,X164)|convergent_lines(X163,X164),inference(split_conjunct,status(thm),[c103])).
% 2.45/2.67 cnf(c193,plain,convergent_lines(X189,X190)|equal_lines(X189,X190),inference(resolution,status(thm),[c104, c35])).
% 2.45/2.67 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),input).
% 2.45/2.67 fof(c105,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,status(thm),[ceq3])).
% 2.45/2.67 fof(c106,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,status(thm),[c105])).
% 2.45/2.67 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])).])).
% 2.45/2.67 cnf(c109,axiom,~convergent_lines(X323,X324)|distinct_lines(X324,X325)|convergent_lines(X323,X325),inference(split_conjunct,status(thm),[c108])).
% 2.45/2.67 cnf(c328,plain,distinct_lines(X971,X972)|convergent_lines(X970,X972)|equal_lines(X970,X971),inference(resolution,status(thm),[c109, c193])).
% 2.45/2.67 cnf(c1095,plain,distinct_lines(X976,X975)|equal_lines(X975,X976),inference(resolution,status(thm),[c328, c156])).
% 2.45/2.67 cnf(c1133,plain,equal_lines(X1000,X1001)|~equal_lines(X1001,X1000),inference(resolution,status(thm),[c1095, c34])).
% 2.45/2.67 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),input).
% 2.45/2.67 fof(c99,axiom,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,status(thm),[cp1])).
% 2.45/2.67 fof(c100,axiom,(![X59]:(![X60]:~convergent_lines(parallel_through_point(X60,X59),X60))),inference(variable_rename,status(thm),[c99])).
% 2.45/2.67 cnf(c101,axiom,~convergent_lines(parallel_through_point(X105,X106),X105),inference(split_conjunct,status(thm),[c100])).
% 2.45/2.67 cnf(c1129,plain,equal_lines(X987,X986)|convergent_lines(X986,X987),inference(resolution,status(thm),[c1095, c104])).
% 2.45/2.67 cnf(c1171,plain,equal_lines(X997,parallel_through_point(X997,X996)),inference(resolution,status(thm),[c1129, c101])).
% 2.45/2.67 cnf(c1114,plain,distinct_lines(X1256,X1255)|equal_lines(parallel_through_point(X1255,X1254),X1256),inference(resolution,status(thm),[c328, c101])).
% 2.45/2.67 cnf(c1537,plain,equal_lines(parallel_through_point(X1461,X1463),X1462)|~equal_lines(X1462,X1461),inference(resolution,status(thm),[c1114, c34])).
% 2.45/2.67 cnf(c2073,plain,equal_lines(parallel_through_point(parallel_through_point(X1466,X1468),X1467),X1466),inference(resolution,status(thm),[c1537, c1171])).
% 2.45/2.67 cnf(c2083,plain,equal_lines(X1481,parallel_through_point(parallel_through_point(X1481,X1479),X1480)),inference(resolution,status(thm),[c2073, c1133])).
% 2.45/2.67 fof(cp2,axiom,(![X]:(![Y]:(~apart_point_and_line(X,parallel_through_point(Y,X))))),input).
% 2.45/2.67 fof(c96,axiom,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,status(thm),[cp2])).
% 2.45/2.67 fof(c97,axiom,(![X57]:(![X58]:~apart_point_and_line(X57,parallel_through_point(X58,X57)))),inference(variable_rename,status(thm),[c96])).
% 2.45/2.67 cnf(c98,axiom,~apart_point_and_line(X103,parallel_through_point(X104,X103)),inference(split_conjunct,status(thm),[c97])).
% 2.45/2.67 cnf(c21,axiom,apart_point_and_line(X115,X116)|incident_point_and_line(X115,X116),inference(split_conjunct,status(thm),[c19])).
% 2.45/2.67 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),input).
% 2.45/2.67 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])).
% 2.45/2.67 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])).
% 2.45/2.67 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])).])).
% 2.45/2.67 cnf(c114,axiom,~apart_point_and_line(X338,X336)|distinct_lines(X336,X337)|apart_point_and_line(X338,X337),inference(split_conjunct,status(thm),[c113])).
% 2.45/2.67 cnf(c333,plain,distinct_lines(X1659,X1658)|apart_point_and_line(X1660,X1658)|incident_point_and_line(X1660,X1659),inference(resolution,status(thm),[c114, c21])).
% 2.45/2.67 cnf(c2578,plain,distinct_lines(X2596,parallel_through_point(X2597,X2598))|incident_point_and_line(X2598,X2596),inference(resolution,status(thm),[c333, c98])).
% 2.45/2.67 cnf(c5223,plain,incident_point_and_line(X3600,X3598)|~equal_lines(X3598,parallel_through_point(X3599,X3600)),inference(resolution,status(thm),[c2578, c34])).
% 2.45/2.67 cnf(c8348,plain,incident_point_and_line(X3601,X3602),inference(resolution,status(thm),[c5223, c2083])).
% 2.45/2.67 cnf(c8364,plain,$false,inference(resolution,status(thm),[c8348, c165])).
% 2.45/2.67 # SZS output end CNFRefutation
% 2.45/2.67
% 2.45/2.67 # Initial clauses : 49
% 2.45/2.67 # Processed clauses : 433
% 2.45/2.67 # Factors computed : 38
% 2.45/2.67 # Resolvents computed: 8164
% 2.45/2.67 # Tautologies deleted: 12
% 2.45/2.67 # Forward subsumed : 945
% 2.45/2.67 # Backward subsumed : 62
% 2.45/2.67 # -------- CPU Time ---------
% 2.45/2.67 # User time : 2.279 s
% 2.45/2.67 # System time : 0.039 s
% 2.45/2.67 # Total time : 2.318 s
%------------------------------------------------------------------------------