TSTP Solution File: GEO177+3 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO177+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.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 3.20s 3.44s
% Output : Refutation 3.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO177+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 03:30:17 EDT 2022
% 0.13/0.35 % CPUTime :
% 3.20/3.44 # Version: 1.3
% 3.20/3.44 # SZS status Theorem
% 3.20/3.44 # SZS output start CNFRefutation
% 3.20/3.44 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),input).
% 3.20/3.44 fof(c100,axiom,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,status(thm),[cp1])).
% 3.20/3.44 fof(c101,axiom,(![X60]:(![X61]:~convergent_lines(parallel_through_point(X61,X60),X61))),inference(variable_rename,status(thm),[c100])).
% 3.20/3.44 cnf(c102,axiom,~convergent_lines(parallel_through_point(X106,X107),X106),inference(split_conjunct,status(thm),[c101])).
% 3.20/3.44 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),input).
% 3.20/3.44 fof(c30,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,status(thm),[ax2])).
% 3.20/3.44 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])).
% 3.20/3.44 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])).
% 3.20/3.44 fof(c34,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(c33,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),[c32])).])).
% 3.20/3.44 cnf(c36,axiom,distinct_lines(X132,X131)|equal_lines(X132,X131),inference(split_conjunct,status(thm),[c34])).
% 3.20/3.44 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),input).
% 3.20/3.44 fof(c103,axiom,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,status(thm),[p1])).
% 3.20/3.44 fof(c104,axiom,(![X62]:(![X63]:(~distinct_lines(X62,X63)|convergent_lines(X62,X63)))),inference(variable_rename,status(thm),[c103])).
% 3.20/3.44 cnf(c105,axiom,~distinct_lines(X163,X162)|convergent_lines(X163,X162),inference(split_conjunct,status(thm),[c104])).
% 3.20/3.44 cnf(c195,plain,convergent_lines(X191,X190)|equal_lines(X191,X190),inference(resolution,status(thm),[c105, c36])).
% 3.20/3.44 cnf(c210,plain,equal_lines(parallel_through_point(X193,X194),X193),inference(resolution,status(thm),[c195, c102])).
% 3.20/3.44 cnf(c35,axiom,~equal_lines(X130,X129)|~distinct_lines(X130,X129),inference(split_conjunct,status(thm),[c34])).
% 3.20/3.44 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),input).
% 3.20/3.44 fof(c155,axiom,(![X]:~convergent_lines(X,X)),inference(fof_simplification,status(thm),[apart3])).
% 3.20/3.44 fof(c156,axiom,(![X94]:~convergent_lines(X94,X94)),inference(variable_rename,status(thm),[c155])).
% 3.20/3.44 cnf(c157,axiom,~convergent_lines(X97,X97),inference(split_conjunct,status(thm),[c156])).
% 3.20/3.44 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),input).
% 3.20/3.44 fof(c106,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,status(thm),[ceq3])).
% 3.20/3.44 fof(c107,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,status(thm),[c106])).
% 3.20/3.44 fof(c109,axiom,(![X64]:(![X65]:(![X66]:(~convergent_lines(X64,X65)|(distinct_lines(X65,X66)|convergent_lines(X64,X66)))))),inference(shift_quantors,status(thm),[fof(c108,axiom,(![X64]:(![X65]:(~convergent_lines(X64,X65)|(![X66]:(distinct_lines(X65,X66)|convergent_lines(X64,X66)))))),inference(variable_rename,status(thm),[c107])).])).
% 3.20/3.44 cnf(c110,axiom,~convergent_lines(X324,X322)|distinct_lines(X322,X323)|convergent_lines(X324,X323),inference(split_conjunct,status(thm),[c109])).
% 3.20/3.44 cnf(c333,plain,distinct_lines(X790,X789)|convergent_lines(X791,X789)|equal_lines(X791,X790),inference(resolution,status(thm),[c110, c195])).
% 3.20/3.44 cnf(c848,plain,distinct_lines(X794,X795)|equal_lines(X795,X794),inference(resolution,status(thm),[c333, c157])).
% 3.20/3.44 cnf(c871,plain,equal_lines(X806,X805)|~equal_lines(X805,X806),inference(resolution,status(thm),[c848, c35])).
% 3.20/3.44 cnf(c896,plain,equal_lines(X808,parallel_through_point(X808,X809)),inference(resolution,status(thm),[c871, c210])).
% 3.20/3.44 fof(cp2,axiom,(![X]:(![Y]:(~apart_point_and_line(X,parallel_through_point(Y,X))))),input).
% 3.20/3.44 fof(c97,axiom,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,status(thm),[cp2])).
% 3.20/3.44 fof(c98,axiom,(![X58]:(![X59]:~apart_point_and_line(X58,parallel_through_point(X59,X58)))),inference(variable_rename,status(thm),[c97])).
% 3.20/3.44 cnf(c99,axiom,~apart_point_and_line(X105,parallel_through_point(X104,X105)),inference(split_conjunct,status(thm),[c98])).
% 3.20/3.44 fof(a4,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>(~apart_point_and_line(X,Y))))),input).
% 3.20/3.44 fof(c16,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,status(thm),[a4])).
% 3.20/3.44 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])).
% 3.20/3.44 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])).
% 3.20/3.44 fof(c20,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(c19,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),[c18])).])).
% 3.20/3.44 cnf(c22,axiom,apart_point_and_line(X116,X117)|incident_point_and_line(X116,X117),inference(split_conjunct,status(thm),[c20])).
% 3.20/3.44 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),input).
% 3.20/3.44 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])).
% 3.20/3.44 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])).
% 3.20/3.44 fof(c114,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(c113,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),[c112])).])).
% 3.20/3.44 cnf(c115,axiom,~apart_point_and_line(X336,X335)|distinct_lines(X335,X337)|apart_point_and_line(X336,X337),inference(split_conjunct,status(thm),[c114])).
% 3.20/3.44 cnf(c339,plain,distinct_lines(X1689,X1688)|apart_point_and_line(X1690,X1688)|incident_point_and_line(X1690,X1689),inference(resolution,status(thm),[c115, c22])).
% 3.20/3.44 cnf(c2680,plain,distinct_lines(X2709,parallel_through_point(X2710,X2711))|incident_point_and_line(X2711,X2709),inference(resolution,status(thm),[c339, c99])).
% 3.20/3.44 cnf(c5703,plain,incident_point_and_line(X3771,X3772)|~equal_lines(X3772,parallel_through_point(X3773,X3771)),inference(resolution,status(thm),[c2680, c35])).
% 3.20/3.44 cnf(c8925,plain,incident_point_and_line(X3774,X3775),inference(resolution,status(thm),[c5703, c896])).
% 3.20/3.44 cnf(c21,axiom,~incident_point_and_line(X114,X115)|~apart_point_and_line(X114,X115),inference(split_conjunct,status(thm),[c20])).
% 3.20/3.44 fof(con,conjecture,(![X]:(![Y]:(![U]:(![V]:((distinct_points(X,Y)&distinct_points(U,V))=>((apart_point_and_line(X,line_connecting(U,V))|apart_point_and_line(Y,line_connecting(U,V)))=>(apart_point_and_line(U,line_connecting(X,Y))|apart_point_and_line(V,line_connecting(X,Y))))))))),input).
% 3.20/3.44 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![U]:(![V]:((distinct_points(X,Y)&distinct_points(U,V))=>((apart_point_and_line(X,line_connecting(U,V))|apart_point_and_line(Y,line_connecting(U,V)))=>(apart_point_and_line(U,line_connecting(X,Y))|apart_point_and_line(V,line_connecting(X,Y)))))))))),inference(assume_negation,status(cth),[con])).
% 3.20/3.44 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[U]:(?[V]:((distinct_points(X,Y)&distinct_points(U,V))&((apart_point_and_line(X,line_connecting(U,V))|apart_point_and_line(Y,line_connecting(U,V)))&(~apart_point_and_line(U,line_connecting(X,Y))&~apart_point_and_line(V,line_connecting(X,Y))))))))),inference(fof_nnf,status(thm),[c0])).
% 3.20/3.44 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:((distinct_points(X2,X3)&distinct_points(X4,X5))&((apart_point_and_line(X2,line_connecting(X4,X5))|apart_point_and_line(X3,line_connecting(X4,X5)))&(~apart_point_and_line(X4,line_connecting(X2,X3))&~apart_point_and_line(X5,line_connecting(X2,X3))))))))),inference(variable_rename,status(thm),[c1])).
% 3.20/3.44 fof(c3,negated_conjecture,((distinct_points(skolem0001,skolem0002)&distinct_points(skolem0003,skolem0004))&((apart_point_and_line(skolem0001,line_connecting(skolem0003,skolem0004))|apart_point_and_line(skolem0002,line_connecting(skolem0003,skolem0004)))&(~apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002))&~apart_point_and_line(skolem0004,line_connecting(skolem0001,skolem0002))))),inference(skolemize,status(esa),[c2])).
% 3.20/3.44 cnf(c6,negated_conjecture,apart_point_and_line(skolem0001,line_connecting(skolem0003,skolem0004))|apart_point_and_line(skolem0002,line_connecting(skolem0003,skolem0004)),inference(split_conjunct,status(thm),[c3])).
% 3.20/3.44 cnf(c167,plain,~incident_point_and_line(skolem0002,line_connecting(skolem0003,skolem0004))|apart_point_and_line(skolem0001,line_connecting(skolem0003,skolem0004)),inference(resolution,status(thm),[c21, c6])).
% 3.20/3.44 cnf(c8941,plain,apart_point_and_line(skolem0001,line_connecting(skolem0003,skolem0004)),inference(resolution,status(thm),[c8925, c167])).
% 3.20/3.44 cnf(c9096,plain,~incident_point_and_line(skolem0001,line_connecting(skolem0003,skolem0004)),inference(resolution,status(thm),[c8941, c21])).
% 3.20/3.44 cnf(c9101,plain,$false,inference(resolution,status(thm),[c9096, c8925])).
% 3.20/3.44 # SZS output end CNFRefutation
% 3.20/3.44
% 3.20/3.44 # Initial clauses : 51
% 3.20/3.44 # Processed clauses : 471
% 3.20/3.44 # Factors computed : 42
% 3.20/3.44 # Resolvents computed: 8898
% 3.20/3.44 # Tautologies deleted: 12
% 3.20/3.44 # Forward subsumed : 1053
% 3.20/3.44 # Backward subsumed : 77
% 3.20/3.44 # -------- CPU Time ---------
% 3.20/3.44 # User time : 3.028 s
% 3.20/3.44 # System time : 0.027 s
% 3.20/3.44 # Total time : 3.055 s
%------------------------------------------------------------------------------