TSTP Solution File: GEO176+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO176+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 05:58:54 EDT 2022
% Result : Theorem 3.64s 3.88s
% Output : Refutation 3.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO176+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jun 17 22:39:17 EDT 2022
% 0.14/0.34 % CPUTime :
% 3.64/3.88 # Version: 1.3
% 3.64/3.88 # SZS status Theorem
% 3.64/3.88 # SZS output start CNFRefutation
% 3.64/3.88 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),input).
% 3.64/3.88 fof(c29,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,status(thm),[ax2])).
% 3.64/3.88 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])).
% 3.64/3.88 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])).
% 3.64/3.88 fof(c33,axiom,(![X18]:(![X19]:(![X20]:(![X21]:((~equal_lines(X18,X19)|~distinct_lines(X18,X19))&(distinct_lines(X20,X21)|equal_lines(X20,X21))))))),inference(shift_quantors,status(thm),[fof(c32,axiom,((![X18]:(![X19]:(~equal_lines(X18,X19)|~distinct_lines(X18,X19))))&(![X20]:(![X21]:(distinct_lines(X20,X21)|equal_lines(X20,X21))))),inference(variable_rename,status(thm),[c31])).])).
% 3.64/3.88 cnf(c34,axiom,~equal_lines(X127,X128)|~distinct_lines(X127,X128),inference(split_conjunct,status(thm),[c33])).
% 3.64/3.88 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),input).
% 3.64/3.88 fof(c154,axiom,(![X]:~convergent_lines(X,X)),inference(fof_simplification,status(thm),[apart3])).
% 3.64/3.88 fof(c155,axiom,(![X94]:~convergent_lines(X94,X94)),inference(variable_rename,status(thm),[c154])).
% 3.64/3.88 cnf(c156,axiom,~convergent_lines(X97,X97),inference(split_conjunct,status(thm),[c155])).
% 3.64/3.88 cnf(c35,axiom,distinct_lines(X132,X131)|equal_lines(X132,X131),inference(split_conjunct,status(thm),[c33])).
% 3.64/3.88 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),input).
% 3.64/3.88 fof(c102,axiom,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,status(thm),[p1])).
% 3.64/3.88 fof(c103,axiom,(![X62]:(![X63]:(~distinct_lines(X62,X63)|convergent_lines(X62,X63)))),inference(variable_rename,status(thm),[c102])).
% 3.64/3.88 cnf(c104,axiom,~distinct_lines(X163,X162)|convergent_lines(X163,X162),inference(split_conjunct,status(thm),[c103])).
% 3.64/3.88 cnf(c193,plain,convergent_lines(X188,X187)|equal_lines(X188,X187),inference(resolution,status(thm),[c104, c35])).
% 3.64/3.88 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),input).
% 3.64/3.88 fof(c105,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,status(thm),[ceq3])).
% 3.64/3.88 fof(c106,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,status(thm),[c105])).
% 3.64/3.88 fof(c108,axiom,(![X64]:(![X65]:(![X66]:(~convergent_lines(X64,X65)|(distinct_lines(X65,X66)|convergent_lines(X64,X66)))))),inference(shift_quantors,status(thm),[fof(c107,axiom,(![X64]:(![X65]:(~convergent_lines(X64,X65)|(![X66]:(distinct_lines(X65,X66)|convergent_lines(X64,X66)))))),inference(variable_rename,status(thm),[c106])).])).
% 3.64/3.88 cnf(c109,axiom,~convergent_lines(X318,X319)|distinct_lines(X319,X317)|convergent_lines(X318,X317),inference(split_conjunct,status(thm),[c108])).
% 3.64/3.88 cnf(c357,plain,distinct_lines(X876,X877)|convergent_lines(X875,X877)|equal_lines(X875,X876),inference(resolution,status(thm),[c109, c193])).
% 3.64/3.88 cnf(c1270,plain,distinct_lines(X880,X881)|equal_lines(X881,X880),inference(resolution,status(thm),[c357, c156])).
% 3.64/3.88 cnf(c1305,plain,equal_lines(X892,X891)|~equal_lines(X891,X892),inference(resolution,status(thm),[c1270, c34])).
% 3.64/3.88 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),input).
% 3.64/3.88 fof(c99,axiom,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,status(thm),[cp1])).
% 3.64/3.88 fof(c100,axiom,(![X60]:(![X61]:~convergent_lines(parallel_through_point(X61,X60),X61))),inference(variable_rename,status(thm),[c99])).
% 3.64/3.88 cnf(c101,axiom,~convergent_lines(parallel_through_point(X106,X107),X106),inference(split_conjunct,status(thm),[c100])).
% 3.64/3.88 cnf(c205,plain,equal_lines(parallel_through_point(X194,X193),X194),inference(resolution,status(thm),[c193, c101])).
% 3.64/3.88 cnf(c1331,plain,equal_lines(X899,parallel_through_point(X899,X898)),inference(resolution,status(thm),[c1305, c205])).
% 3.64/3.88 cnf(c1261,plain,distinct_lines(X1943,X1945)|equal_lines(parallel_through_point(X1945,X1944),X1943),inference(resolution,status(thm),[c357, c101])).
% 3.64/3.88 cnf(c5872,plain,equal_lines(parallel_through_point(X2490,X2488),X2489)|~equal_lines(X2489,X2490),inference(resolution,status(thm),[c1261, c34])).
% 3.64/3.88 cnf(c9000,plain,equal_lines(parallel_through_point(parallel_through_point(X2498,X2497),X2496),X2498),inference(resolution,status(thm),[c5872, c1331])).
% 3.64/3.88 cnf(c9015,plain,equal_lines(X2503,parallel_through_point(parallel_through_point(X2503,X2505),X2504)),inference(resolution,status(thm),[c9000, c1305])).
% 3.64/3.88 fof(cp2,axiom,(![X]:(![Y]:(~apart_point_and_line(X,parallel_through_point(Y,X))))),input).
% 3.64/3.88 fof(c96,axiom,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,status(thm),[cp2])).
% 3.64/3.88 fof(c97,axiom,(![X58]:(![X59]:~apart_point_and_line(X58,parallel_through_point(X59,X58)))),inference(variable_rename,status(thm),[c96])).
% 3.64/3.88 cnf(c98,axiom,~apart_point_and_line(X105,parallel_through_point(X104,X105)),inference(split_conjunct,status(thm),[c97])).
% 3.64/3.88 fof(a4,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>(~apart_point_and_line(X,Y))))),input).
% 3.64/3.88 fof(c15,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,status(thm),[a4])).
% 3.64/3.88 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])).
% 3.64/3.88 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])).
% 3.64/3.88 fof(c19,axiom,(![X10]:(![X11]:(![X12]:(![X13]:((~incident_point_and_line(X10,X11)|~apart_point_and_line(X10,X11))&(apart_point_and_line(X12,X13)|incident_point_and_line(X12,X13))))))),inference(shift_quantors,status(thm),[fof(c18,axiom,((![X10]:(![X11]:(~incident_point_and_line(X10,X11)|~apart_point_and_line(X10,X11))))&(![X12]:(![X13]:(apart_point_and_line(X12,X13)|incident_point_and_line(X12,X13))))),inference(variable_rename,status(thm),[c17])).])).
% 3.64/3.88 cnf(c21,axiom,apart_point_and_line(X117,X116)|incident_point_and_line(X117,X116),inference(split_conjunct,status(thm),[c19])).
% 3.64/3.88 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),input).
% 3.64/3.88 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])).
% 3.64/3.88 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])).
% 3.64/3.88 fof(c113,axiom,(![X67]:(![X68]:(![X69]:(~apart_point_and_line(X67,X68)|(distinct_lines(X68,X69)|apart_point_and_line(X67,X69)))))),inference(shift_quantors,status(thm),[fof(c112,axiom,(![X67]:(![X68]:(~apart_point_and_line(X67,X68)|(![X69]:(distinct_lines(X68,X69)|apart_point_and_line(X67,X69)))))),inference(variable_rename,status(thm),[c111])).])).
% 3.64/3.88 cnf(c114,axiom,~apart_point_and_line(X322,X321)|distinct_lines(X321,X323)|apart_point_and_line(X322,X323),inference(split_conjunct,status(thm),[c113])).
% 3.64/3.88 cnf(c385,plain,distinct_lines(X1488,X1487)|apart_point_and_line(X1486,X1487)|incident_point_and_line(X1486,X1488),inference(resolution,status(thm),[c114, c21])).
% 3.64/3.88 cnf(c3580,plain,distinct_lines(X2205,parallel_through_point(X2203,X2204))|incident_point_and_line(X2204,X2205),inference(resolution,status(thm),[c385, c98])).
% 3.64/3.88 cnf(c7399,plain,incident_point_and_line(X3000,X2999)|~equal_lines(X2999,parallel_through_point(X2998,X3000)),inference(resolution,status(thm),[c3580, c34])).
% 3.64/3.88 cnf(c10915,plain,incident_point_and_line(X3002,X3001),inference(resolution,status(thm),[c7399, c9015])).
% 3.64/3.88 cnf(c20,axiom,~incident_point_and_line(X115,X114)|~apart_point_and_line(X115,X114),inference(split_conjunct,status(thm),[c19])).
% 3.64/3.88 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(X,V)))=>distinct_points(X,intersection_point(U,V))))))),input).
% 3.64/3.88 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(X,V)))=>distinct_points(X,intersection_point(U,V)))))))),inference(assume_negation,status(cth),[con])).
% 3.64/3.88 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(X,V)))&~distinct_points(X,intersection_point(U,V))))))),inference(fof_nnf,status(thm),[c0])).
% 3.64/3.88 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(((distinct_points(X2,X3)&convergent_lines(X4,X5))&(apart_point_and_line(X2,X4)|apart_point_and_line(X2,X5)))&~distinct_points(X2,intersection_point(X4,X5))))))),inference(variable_rename,status(thm),[c1])).
% 3.64/3.88 fof(c3,negated_conjecture,(((distinct_points(skolem0001,skolem0002)&convergent_lines(skolem0003,skolem0004))&(apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0001,skolem0004)))&~distinct_points(skolem0001,intersection_point(skolem0003,skolem0004))),inference(skolemize,status(esa),[c2])).
% 3.64/3.88 cnf(c6,negated_conjecture,apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0001,skolem0004),inference(split_conjunct,status(thm),[c3])).
% 3.64/3.88 cnf(c166,plain,~incident_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0001,skolem0004),inference(resolution,status(thm),[c20, c6])).
% 3.64/3.88 cnf(c10935,plain,apart_point_and_line(skolem0001,skolem0004),inference(resolution,status(thm),[c10915, c166])).
% 3.64/3.88 cnf(c10937,plain,~incident_point_and_line(skolem0001,skolem0004),inference(resolution,status(thm),[c10935, c20])).
% 3.64/3.88 cnf(c11028,plain,$false,inference(resolution,status(thm),[c10937, c10915])).
% 3.64/3.88 # SZS output end CNFRefutation
% 3.64/3.88
% 3.64/3.88 # Initial clauses : 50
% 3.64/3.88 # Processed clauses : 523
% 3.64/3.88 # Factors computed : 44
% 3.64/3.88 # Resolvents computed: 10822
% 3.64/3.88 # Tautologies deleted: 12
% 3.64/3.88 # Forward subsumed : 1068
% 3.64/3.88 # Backward subsumed : 69
% 3.64/3.88 # -------- CPU Time ---------
% 3.64/3.88 # User time : 3.501 s
% 3.64/3.88 # System time : 0.033 s
% 3.64/3.88 # Total time : 3.534 s
%------------------------------------------------------------------------------