TSTP Solution File: GEO189+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO189+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 05:59:04 EDT 2022
% Result : Theorem 2.44s 2.63s
% Output : Refutation 2.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO189+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n007.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 : Sat Jun 18 03:30:43 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.44/2.63 # Version: 1.3
% 2.44/2.63 # SZS status Theorem
% 2.44/2.63 # SZS output start CNFRefutation
% 2.44/2.63 fof(con,conjecture,(![X]:(![Y]:(![Z]:((((distinct_points(X,Y)&distinct_points(X,Z))&distinct_points(Y,Z))&incident_point_and_line(Z,line_connecting(X,Y)))=>incident_point_and_line(Y,line_connecting(X,Z)))))),input).
% 2.44/2.63 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:((((distinct_points(X,Y)&distinct_points(X,Z))&distinct_points(Y,Z))&incident_point_and_line(Z,line_connecting(X,Y)))=>incident_point_and_line(Y,line_connecting(X,Z))))))),inference(assume_negation,status(cth),[con])).
% 2.44/2.63 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[Z]:((((distinct_points(X,Y)&distinct_points(X,Z))&distinct_points(Y,Z))&incident_point_and_line(Z,line_connecting(X,Y)))&~incident_point_and_line(Y,line_connecting(X,Z)))))),inference(fof_nnf,status(thm),[c0])).
% 2.44/2.63 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((((distinct_points(X2,X3)&distinct_points(X2,X4))&distinct_points(X3,X4))&incident_point_and_line(X4,line_connecting(X2,X3)))&~incident_point_and_line(X3,line_connecting(X2,X4)))))),inference(variable_rename,status(thm),[c1])).
% 2.44/2.63 fof(c3,negated_conjecture,((((distinct_points(skolem0001,skolem0002)&distinct_points(skolem0001,skolem0003))&distinct_points(skolem0002,skolem0003))&incident_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)))&~incident_point_and_line(skolem0002,line_connecting(skolem0001,skolem0003))),inference(skolemize,status(esa),[c2])).
% 2.44/2.63 cnf(c8,negated_conjecture,~incident_point_and_line(skolem0002,line_connecting(skolem0001,skolem0003)),inference(split_conjunct,status(thm),[c3])).
% 2.44/2.63 fof(a3,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>(~convergent_lines(X,Y))))),input).
% 2.44/2.63 fof(c23,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>~convergent_lines(X,Y)))),inference(fof_simplification,status(thm),[a3])).
% 2.44/2.63 fof(c24,axiom,(![X]:(![Y]:((~parallel_lines(X,Y)|~convergent_lines(X,Y))&(convergent_lines(X,Y)|parallel_lines(X,Y))))),inference(fof_nnf,status(thm),[c23])).
% 2.44/2.63 fof(c25,axiom,((![X]:(![Y]:(~parallel_lines(X,Y)|~convergent_lines(X,Y))))&(![X]:(![Y]:(convergent_lines(X,Y)|parallel_lines(X,Y))))),inference(shift_quantors,status(thm),[c24])).
% 2.44/2.63 fof(c27,axiom,(![X13]:(![X14]:(![X15]:(![X16]:((~parallel_lines(X13,X14)|~convergent_lines(X13,X14))&(convergent_lines(X15,X16)|parallel_lines(X15,X16))))))),inference(shift_quantors,status(thm),[fof(c26,axiom,((![X13]:(![X14]:(~parallel_lines(X13,X14)|~convergent_lines(X13,X14))))&(![X15]:(![X16]:(convergent_lines(X15,X16)|parallel_lines(X15,X16))))),inference(variable_rename,status(thm),[c25])).])).
% 2.44/2.63 cnf(c28,axiom,~parallel_lines(X122,X121)|~convergent_lines(X122,X121),inference(split_conjunct,status(thm),[c27])).
% 2.44/2.63 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),input).
% 2.44/2.63 fof(c30,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,status(thm),[ax2])).
% 2.44/2.63 fof(c31,axiom,(![X]:(![Y]:((~equal_lines(X,Y)|~distinct_lines(X,Y))&(distinct_lines(X,Y)|equal_lines(X,Y))))),inference(fof_nnf,status(thm),[c30])).
% 2.44/2.63 fof(c32,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),[c31])).
% 2.44/2.63 fof(c34,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(c33,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),[c32])).])).
% 2.44/2.63 cnf(c36,axiom,distinct_lines(X130,X131)|equal_lines(X130,X131),inference(split_conjunct,status(thm),[c34])).
% 2.44/2.63 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),input).
% 2.44/2.63 fof(c103,axiom,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,status(thm),[p1])).
% 2.44/2.63 fof(c104,axiom,(![X61]:(![X62]:(~distinct_lines(X61,X62)|convergent_lines(X61,X62)))),inference(variable_rename,status(thm),[c103])).
% 2.44/2.63 cnf(c105,axiom,~distinct_lines(X163,X164)|convergent_lines(X163,X164),inference(split_conjunct,status(thm),[c104])).
% 2.44/2.63 cnf(c197,plain,convergent_lines(X190,X189)|equal_lines(X190,X189),inference(resolution,status(thm),[c105, c36])).
% 2.44/2.63 cnf(c212,plain,equal_lines(X202,X201)|~parallel_lines(X202,X201),inference(resolution,status(thm),[c197, c28])).
% 2.44/2.63 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),input).
% 2.44/2.63 fof(c100,axiom,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,status(thm),[cp1])).
% 2.44/2.63 fof(c101,axiom,(![X59]:(![X60]:~convergent_lines(parallel_through_point(X60,X59),X60))),inference(variable_rename,status(thm),[c100])).
% 2.44/2.63 cnf(c102,axiom,~convergent_lines(parallel_through_point(X106,X105),X106),inference(split_conjunct,status(thm),[c101])).
% 2.44/2.63 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),input).
% 2.44/2.63 fof(c155,axiom,(![X]:~convergent_lines(X,X)),inference(fof_simplification,status(thm),[apart3])).
% 2.44/2.63 fof(c156,axiom,(![X93]:~convergent_lines(X93,X93)),inference(variable_rename,status(thm),[c155])).
% 2.44/2.63 cnf(c157,axiom,~convergent_lines(X96,X96),inference(split_conjunct,status(thm),[c156])).
% 2.44/2.63 cnf(c29,axiom,convergent_lines(X124,X123)|parallel_lines(X124,X123),inference(split_conjunct,status(thm),[c27])).
% 2.44/2.63 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),input).
% 2.44/2.63 fof(c106,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,status(thm),[ceq3])).
% 2.44/2.63 fof(c107,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,status(thm),[c106])).
% 2.44/2.63 fof(c109,axiom,(![X63]:(![X64]:(![X65]:(~convergent_lines(X63,X64)|(distinct_lines(X64,X65)|convergent_lines(X63,X65)))))),inference(shift_quantors,status(thm),[fof(c108,axiom,(![X63]:(![X64]:(~convergent_lines(X63,X64)|(![X65]:(distinct_lines(X64,X65)|convergent_lines(X63,X65)))))),inference(variable_rename,status(thm),[c107])).])).
% 2.44/2.63 cnf(c110,axiom,~convergent_lines(X314,X313)|distinct_lines(X313,X315)|convergent_lines(X314,X315),inference(split_conjunct,status(thm),[c109])).
% 2.44/2.63 cnf(c338,plain,distinct_lines(X816,X815)|convergent_lines(X814,X815)|parallel_lines(X814,X816),inference(resolution,status(thm),[c110, c29])).
% 2.44/2.63 cnf(c930,plain,distinct_lines(X819,X820)|parallel_lines(X820,X819),inference(resolution,status(thm),[c338, c157])).
% 2.44/2.63 cnf(c941,plain,parallel_lines(X830,X831)|convergent_lines(X831,X830),inference(resolution,status(thm),[c930, c105])).
% 2.44/2.63 cnf(c983,plain,parallel_lines(X842,parallel_through_point(X842,X841)),inference(resolution,status(thm),[c941, c102])).
% 2.44/2.63 cnf(c1045,plain,equal_lines(X845,parallel_through_point(X845,X846)),inference(resolution,status(thm),[c983, c212])).
% 2.44/2.63 cnf(c35,axiom,~equal_lines(X129,X128)|~distinct_lines(X129,X128),inference(split_conjunct,status(thm),[c34])).
% 2.44/2.63 fof(cp2,axiom,(![X]:(![Y]:(~apart_point_and_line(X,parallel_through_point(Y,X))))),input).
% 2.44/2.63 fof(c97,axiom,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,status(thm),[cp2])).
% 2.44/2.63 fof(c98,axiom,(![X57]:(![X58]:~apart_point_and_line(X57,parallel_through_point(X58,X57)))),inference(variable_rename,status(thm),[c97])).
% 2.44/2.63 cnf(c99,axiom,~apart_point_and_line(X104,parallel_through_point(X103,X104)),inference(split_conjunct,status(thm),[c98])).
% 2.44/2.63 fof(a4,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>(~apart_point_and_line(X,Y))))),input).
% 2.44/2.63 fof(c16,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,status(thm),[a4])).
% 2.44/2.63 fof(c17,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),[c16])).
% 2.44/2.63 fof(c18,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),[c17])).
% 2.44/2.63 fof(c20,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(c19,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),[c18])).])).
% 2.44/2.63 cnf(c22,axiom,apart_point_and_line(X115,X116)|incident_point_and_line(X115,X116),inference(split_conjunct,status(thm),[c20])).
% 2.44/2.63 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),input).
% 2.44/2.63 fof(c111,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])).
% 2.44/2.63 fof(c112,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),[c111])).
% 2.44/2.63 fof(c114,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(c113,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),[c112])).])).
% 2.44/2.63 cnf(c115,axiom,~apart_point_and_line(X324,X322)|distinct_lines(X322,X323)|apart_point_and_line(X324,X323),inference(split_conjunct,status(thm),[c114])).
% 2.44/2.63 cnf(c343,plain,distinct_lines(X1566,X1565)|apart_point_and_line(X1567,X1565)|incident_point_and_line(X1567,X1566),inference(resolution,status(thm),[c115, c22])).
% 2.44/2.63 cnf(c2313,plain,distinct_lines(X2239,parallel_through_point(X2240,X2241))|incident_point_and_line(X2241,X2239),inference(resolution,status(thm),[c343, c99])).
% 2.44/2.63 cnf(c4331,plain,incident_point_and_line(X3111,X3112)|~equal_lines(X3112,parallel_through_point(X3113,X3111)),inference(resolution,status(thm),[c2313, c35])).
% 2.44/2.63 cnf(c7374,plain,incident_point_and_line(X3118,X3117),inference(resolution,status(thm),[c4331, c1045])).
% 2.44/2.63 cnf(c7398,plain,$false,inference(resolution,status(thm),[c7374, c8])).
% 2.44/2.63 # SZS output end CNFRefutation
% 2.44/2.63
% 2.44/2.63 # Initial clauses : 51
% 2.44/2.63 # Processed clauses : 448
% 2.44/2.63 # Factors computed : 38
% 2.44/2.63 # Resolvents computed: 7197
% 2.44/2.63 # Tautologies deleted: 12
% 2.44/2.63 # Forward subsumed : 891
% 2.44/2.63 # Backward subsumed : 74
% 2.44/2.63 # -------- CPU Time ---------
% 2.44/2.63 # User time : 2.267 s
% 2.44/2.63 # System time : 0.022 s
% 2.44/2.63 # Total time : 2.289 s
%------------------------------------------------------------------------------