TSTP Solution File: GEO179+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO179+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 05:58:56 EDT 2022
% Result : Theorem 2.05s 2.28s
% Output : Refutation 2.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO179+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n003.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 19:21:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.05/2.28 # Version: 1.3
% 2.05/2.28 # SZS status Theorem
% 2.05/2.28 # SZS output start CNFRefutation
% 2.05/2.28 fof(con,conjecture,(![X]:(![Y]:(![Z]:((distinct_points(X,Y)&apart_point_and_line(Z,line_connecting(X,Y)))=>(distinct_lines(line_connecting(X,Y),line_connecting(Z,X))&distinct_lines(line_connecting(X,Y),line_connecting(Z,Y))))))),input).
% 2.05/2.28 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:((distinct_points(X,Y)&apart_point_and_line(Z,line_connecting(X,Y)))=>(distinct_lines(line_connecting(X,Y),line_connecting(Z,X))&distinct_lines(line_connecting(X,Y),line_connecting(Z,Y)))))))),inference(assume_negation,status(cth),[con])).
% 2.05/2.28 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[Z]:((distinct_points(X,Y)&apart_point_and_line(Z,line_connecting(X,Y)))&(~distinct_lines(line_connecting(X,Y),line_connecting(Z,X))|~distinct_lines(line_connecting(X,Y),line_connecting(Z,Y))))))),inference(fof_nnf,status(thm),[c0])).
% 2.05/2.28 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((distinct_points(X2,X3)&apart_point_and_line(X4,line_connecting(X2,X3)))&(~distinct_lines(line_connecting(X2,X3),line_connecting(X4,X2))|~distinct_lines(line_connecting(X2,X3),line_connecting(X4,X3))))))),inference(variable_rename,status(thm),[c1])).
% 2.05/2.28 fof(c3,negated_conjecture,((distinct_points(skolem0001,skolem0002)&apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)))&(~distinct_lines(line_connecting(skolem0001,skolem0002),line_connecting(skolem0003,skolem0001))|~distinct_lines(line_connecting(skolem0001,skolem0002),line_connecting(skolem0003,skolem0002)))),inference(skolemize,status(esa),[c2])).
% 2.05/2.28 cnf(c5,negated_conjecture,apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)),inference(split_conjunct,status(thm),[c3])).
% 2.05/2.28 fof(a4,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>(~apart_point_and_line(X,Y))))),input).
% 2.05/2.28 fof(c14,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,status(thm),[a4])).
% 2.05/2.28 fof(c15,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),[c14])).
% 2.05/2.28 fof(c16,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),[c15])).
% 2.05/2.28 fof(c18,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(c17,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),[c16])).])).
% 2.05/2.28 cnf(c19,axiom,~incident_point_and_line(X114,X113)|~apart_point_and_line(X114,X113),inference(split_conjunct,status(thm),[c18])).
% 2.05/2.28 cnf(c164,plain,~incident_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)),inference(resolution,status(thm),[c19, c5])).
% 2.05/2.28 fof(a3,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>(~convergent_lines(X,Y))))),input).
% 2.05/2.28 fof(c21,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>~convergent_lines(X,Y)))),inference(fof_simplification,status(thm),[a3])).
% 2.05/2.28 fof(c22,axiom,(![X]:(![Y]:((~parallel_lines(X,Y)|~convergent_lines(X,Y))&(convergent_lines(X,Y)|parallel_lines(X,Y))))),inference(fof_nnf,status(thm),[c21])).
% 2.05/2.28 fof(c23,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),[c22])).
% 2.05/2.28 fof(c25,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(c24,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),[c23])).])).
% 2.05/2.28 cnf(c26,axiom,~parallel_lines(X122,X121)|~convergent_lines(X122,X121),inference(split_conjunct,status(thm),[c25])).
% 2.05/2.28 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),input).
% 2.05/2.28 fof(c28,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,status(thm),[ax2])).
% 2.05/2.28 fof(c29,axiom,(![X]:(![Y]:((~equal_lines(X,Y)|~distinct_lines(X,Y))&(distinct_lines(X,Y)|equal_lines(X,Y))))),inference(fof_nnf,status(thm),[c28])).
% 2.05/2.28 fof(c30,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),[c29])).
% 2.05/2.28 fof(c32,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(c31,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),[c30])).])).
% 2.05/2.28 cnf(c34,axiom,distinct_lines(X130,X131)|equal_lines(X130,X131),inference(split_conjunct,status(thm),[c32])).
% 2.05/2.28 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),input).
% 2.05/2.28 fof(c101,axiom,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,status(thm),[p1])).
% 2.05/2.28 fof(c102,axiom,(![X61]:(![X62]:(~distinct_lines(X61,X62)|convergent_lines(X61,X62)))),inference(variable_rename,status(thm),[c101])).
% 2.05/2.28 cnf(c103,axiom,~distinct_lines(X163,X164)|convergent_lines(X163,X164),inference(split_conjunct,status(thm),[c102])).
% 2.05/2.28 cnf(c192,plain,convergent_lines(X189,X190)|equal_lines(X189,X190),inference(resolution,status(thm),[c103, c34])).
% 2.05/2.28 cnf(c204,plain,equal_lines(X201,X202)|~parallel_lines(X201,X202),inference(resolution,status(thm),[c192, c26])).
% 2.05/2.28 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),input).
% 2.05/2.28 fof(c98,axiom,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,status(thm),[cp1])).
% 2.05/2.28 fof(c99,axiom,(![X59]:(![X60]:~convergent_lines(parallel_through_point(X60,X59),X60))),inference(variable_rename,status(thm),[c98])).
% 2.05/2.28 cnf(c100,axiom,~convergent_lines(parallel_through_point(X106,X105),X106),inference(split_conjunct,status(thm),[c99])).
% 2.05/2.28 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),input).
% 2.05/2.28 fof(c153,axiom,(![X]:~convergent_lines(X,X)),inference(fof_simplification,status(thm),[apart3])).
% 2.05/2.28 fof(c154,axiom,(![X93]:~convergent_lines(X93,X93)),inference(variable_rename,status(thm),[c153])).
% 2.05/2.28 cnf(c155,axiom,~convergent_lines(X96,X96),inference(split_conjunct,status(thm),[c154])).
% 2.05/2.28 cnf(c27,axiom,convergent_lines(X123,X124)|parallel_lines(X123,X124),inference(split_conjunct,status(thm),[c25])).
% 2.05/2.28 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),input).
% 2.05/2.28 fof(c104,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,status(thm),[ceq3])).
% 2.05/2.28 fof(c105,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,status(thm),[c104])).
% 2.05/2.28 fof(c107,axiom,(![X63]:(![X64]:(![X65]:(~convergent_lines(X63,X64)|(distinct_lines(X64,X65)|convergent_lines(X63,X65)))))),inference(shift_quantors,status(thm),[fof(c106,axiom,(![X63]:(![X64]:(~convergent_lines(X63,X64)|(![X65]:(distinct_lines(X64,X65)|convergent_lines(X63,X65)))))),inference(variable_rename,status(thm),[c105])).])).
% 2.05/2.28 cnf(c108,axiom,~convergent_lines(X325,X326)|distinct_lines(X326,X327)|convergent_lines(X325,X327),inference(split_conjunct,status(thm),[c107])).
% 2.05/2.28 cnf(c325,plain,distinct_lines(X775,X774)|convergent_lines(X776,X774)|parallel_lines(X776,X775),inference(resolution,status(thm),[c108, c27])).
% 2.05/2.28 cnf(c799,plain,distinct_lines(X780,X779)|parallel_lines(X779,X780),inference(resolution,status(thm),[c325, c155])).
% 2.05/2.28 cnf(c814,plain,parallel_lines(X790,X791)|convergent_lines(X791,X790),inference(resolution,status(thm),[c799, c103])).
% 2.05/2.28 cnf(c864,plain,parallel_lines(X802,parallel_through_point(X802,X801)),inference(resolution,status(thm),[c814, c100])).
% 2.05/2.28 cnf(c879,plain,equal_lines(X804,parallel_through_point(X804,X803)),inference(resolution,status(thm),[c864, c204])).
% 2.05/2.28 cnf(c33,axiom,~equal_lines(X129,X128)|~distinct_lines(X129,X128),inference(split_conjunct,status(thm),[c32])).
% 2.05/2.28 fof(cp2,axiom,(![X]:(![Y]:(~apart_point_and_line(X,parallel_through_point(Y,X))))),input).
% 2.05/2.28 fof(c95,axiom,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,status(thm),[cp2])).
% 2.05/2.28 fof(c96,axiom,(![X57]:(![X58]:~apart_point_and_line(X57,parallel_through_point(X58,X57)))),inference(variable_rename,status(thm),[c95])).
% 2.05/2.28 cnf(c97,axiom,~apart_point_and_line(X103,parallel_through_point(X104,X103)),inference(split_conjunct,status(thm),[c96])).
% 2.05/2.28 cnf(c20,axiom,apart_point_and_line(X115,X116)|incident_point_and_line(X115,X116),inference(split_conjunct,status(thm),[c18])).
% 2.05/2.28 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),input).
% 2.05/2.28 fof(c109,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])).
% 2.05/2.28 fof(c110,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),[c109])).
% 2.05/2.28 fof(c112,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(c111,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),[c110])).])).
% 2.05/2.28 cnf(c113,axiom,~apart_point_and_line(X338,X340)|distinct_lines(X340,X339)|apart_point_and_line(X338,X339),inference(split_conjunct,status(thm),[c112])).
% 2.05/2.28 cnf(c331,plain,distinct_lines(X1648,X1647)|apart_point_and_line(X1649,X1647)|incident_point_and_line(X1649,X1648),inference(resolution,status(thm),[c113, c20])).
% 2.05/2.28 cnf(c2334,plain,distinct_lines(X2287,parallel_through_point(X2286,X2288))|incident_point_and_line(X2288,X2287),inference(resolution,status(thm),[c331, c97])).
% 2.05/2.28 cnf(c4490,plain,incident_point_and_line(X3145,X3147)|~equal_lines(X3147,parallel_through_point(X3146,X3145)),inference(resolution,status(thm),[c2334, c33])).
% 2.05/2.28 cnf(c6641,plain,incident_point_and_line(X3148,X3149),inference(resolution,status(thm),[c4490, c879])).
% 2.05/2.28 cnf(c6665,plain,$false,inference(resolution,status(thm),[c6641, c164])).
% 2.05/2.28 # SZS output end CNFRefutation
% 2.05/2.28
% 2.05/2.28 # Initial clauses : 49
% 2.05/2.28 # Processed clauses : 394
% 2.05/2.28 # Factors computed : 36
% 2.05/2.28 # Resolvents computed: 6468
% 2.05/2.28 # Tautologies deleted: 12
% 2.05/2.28 # Forward subsumed : 827
% 2.05/2.28 # Backward subsumed : 59
% 2.05/2.28 # -------- CPU Time ---------
% 2.05/2.28 # User time : 1.915 s
% 2.05/2.28 # System time : 0.022 s
% 2.05/2.28 # Total time : 1.937 s
%------------------------------------------------------------------------------