TSTP Solution File: GEO196+3 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO196+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 05:59:09 EDT 2022
% Result : Theorem 8.07s 8.26s
% Output : Refutation 8.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO196+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 10:05:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 8.07/8.26 # Version: 1.3
% 8.07/8.26 # SZS status Theorem
% 8.07/8.26 # SZS output start CNFRefutation
% 8.07/8.26 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),input).
% 8.07/8.26 fof(c30,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,status(thm),[ax2])).
% 8.07/8.26 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])).
% 8.07/8.26 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])).
% 8.07/8.26 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])).])).
% 8.07/8.26 cnf(c35,axiom,~equal_lines(X126,X127)|~distinct_lines(X126,X127),inference(split_conjunct,status(thm),[c34])).
% 8.07/8.26 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),input).
% 8.07/8.26 fof(c155,axiom,(![X]:~convergent_lines(X,X)),inference(fof_simplification,status(thm),[apart3])).
% 8.07/8.26 fof(c156,axiom,(![X94]:~convergent_lines(X94,X94)),inference(variable_rename,status(thm),[c155])).
% 8.07/8.26 cnf(c157,axiom,~convergent_lines(X97,X97),inference(split_conjunct,status(thm),[c156])).
% 8.07/8.26 cnf(c36,axiom,distinct_lines(X132,X131)|equal_lines(X132,X131),inference(split_conjunct,status(thm),[c34])).
% 8.07/8.26 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),input).
% 8.07/8.26 fof(c103,axiom,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,status(thm),[p1])).
% 8.07/8.26 fof(c104,axiom,(![X62]:(![X63]:(~distinct_lines(X62,X63)|convergent_lines(X62,X63)))),inference(variable_rename,status(thm),[c103])).
% 8.07/8.26 cnf(c105,axiom,~distinct_lines(X162,X163)|convergent_lines(X162,X163),inference(split_conjunct,status(thm),[c104])).
% 8.07/8.26 cnf(c192,plain,convergent_lines(X191,X190)|equal_lines(X191,X190),inference(resolution,status(thm),[c105, c36])).
% 8.07/8.26 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),input).
% 8.07/8.26 fof(c106,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,status(thm),[ceq3])).
% 8.07/8.26 fof(c107,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,status(thm),[c106])).
% 8.07/8.26 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])).])).
% 8.07/8.26 cnf(c110,axiom,~convergent_lines(X305,X306)|distinct_lines(X306,X304)|convergent_lines(X305,X304),inference(split_conjunct,status(thm),[c109])).
% 8.07/8.26 cnf(c381,plain,distinct_lines(X1114,X1113)|convergent_lines(X1115,X1113)|equal_lines(X1115,X1114),inference(resolution,status(thm),[c110, c192])).
% 8.07/8.26 cnf(c1949,plain,distinct_lines(X1120,X1121)|equal_lines(X1121,X1120),inference(resolution,status(thm),[c381, c157])).
% 8.07/8.26 cnf(c2010,plain,equal_lines(X1131,X1130)|~equal_lines(X1130,X1131),inference(resolution,status(thm),[c1949, c35])).
% 8.07/8.26 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),input).
% 8.07/8.26 fof(c100,axiom,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,status(thm),[cp1])).
% 8.07/8.26 fof(c101,axiom,(![X60]:(![X61]:~convergent_lines(parallel_through_point(X61,X60),X61))),inference(variable_rename,status(thm),[c100])).
% 8.07/8.26 cnf(c102,axiom,~convergent_lines(parallel_through_point(X107,X106),X107),inference(split_conjunct,status(thm),[c101])).
% 8.07/8.26 cnf(c209,plain,equal_lines(parallel_through_point(X194,X193),X194),inference(resolution,status(thm),[c192, c102])).
% 8.07/8.26 cnf(c2041,plain,equal_lines(X1135,parallel_through_point(X1135,X1136)),inference(resolution,status(thm),[c2010, c209])).
% 8.07/8.26 cnf(c1944,plain,distinct_lines(X2602,X2604)|equal_lines(parallel_through_point(X2604,X2603),X2602),inference(resolution,status(thm),[c381, c102])).
% 8.07/8.26 cnf(c13055,plain,equal_lines(parallel_through_point(X3161,X3159),X3160)|~equal_lines(X3160,X3161),inference(resolution,status(thm),[c1944, c35])).
% 8.07/8.26 cnf(c19533,plain,equal_lines(parallel_through_point(parallel_through_point(X3165,X3166),X3164),X3165),inference(resolution,status(thm),[c13055, c2041])).
% 8.07/8.26 cnf(c19564,plain,equal_lines(X3181,parallel_through_point(parallel_through_point(X3181,X3183),X3182)),inference(resolution,status(thm),[c19533, c2010])).
% 8.07/8.26 fof(cp2,axiom,(![X]:(![Y]:(~apart_point_and_line(X,parallel_through_point(Y,X))))),input).
% 8.07/8.26 fof(c97,axiom,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,status(thm),[cp2])).
% 8.07/8.26 fof(c98,axiom,(![X58]:(![X59]:~apart_point_and_line(X58,parallel_through_point(X59,X58)))),inference(variable_rename,status(thm),[c97])).
% 8.07/8.26 cnf(c99,axiom,~apart_point_and_line(X105,parallel_through_point(X104,X105)),inference(split_conjunct,status(thm),[c98])).
% 8.07/8.26 fof(a4,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>(~apart_point_and_line(X,Y))))),input).
% 8.07/8.26 fof(c16,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,status(thm),[a4])).
% 8.07/8.26 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])).
% 8.07/8.26 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])).
% 8.07/8.26 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])).])).
% 8.07/8.26 cnf(c22,axiom,apart_point_and_line(X117,X116)|incident_point_and_line(X117,X116),inference(split_conjunct,status(thm),[c20])).
% 8.07/8.26 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),input).
% 8.07/8.26 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])).
% 8.07/8.26 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])).
% 8.07/8.26 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])).])).
% 8.07/8.26 cnf(c115,axiom,~apart_point_and_line(X308,X309)|distinct_lines(X309,X310)|apart_point_and_line(X308,X310),inference(split_conjunct,status(thm),[c114])).
% 8.07/8.26 cnf(c404,plain,distinct_lines(X1614,X1613)|apart_point_and_line(X1612,X1613)|incident_point_and_line(X1612,X1614),inference(resolution,status(thm),[c115, c22])).
% 8.07/8.26 cnf(c4964,plain,distinct_lines(X2903,parallel_through_point(X2905,X2904))|incident_point_and_line(X2904,X2903),inference(resolution,status(thm),[c404, c99])).
% 8.07/8.26 cnf(c15797,plain,incident_point_and_line(X3631,X3630)|~equal_lines(X3630,parallel_through_point(X3632,X3631)),inference(resolution,status(thm),[c4964, c35])).
% 8.07/8.26 cnf(c23267,plain,incident_point_and_line(X3635,X3634),inference(resolution,status(thm),[c15797, c19564])).
% 8.07/8.26 fof(con,conjecture,(![X]:(![Y]:(![U]:(![V]:((((convergent_lines(X,Y)&convergent_lines(U,V))&incident_point_and_line(intersection_point(X,Y),U))&incident_point_and_line(intersection_point(X,Y),V))=>(incident_point_and_line(intersection_point(U,V),X)&incident_point_and_line(intersection_point(U,V),Y))))))),input).
% 8.07/8.26 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![U]:(![V]:((((convergent_lines(X,Y)&convergent_lines(U,V))&incident_point_and_line(intersection_point(X,Y),U))&incident_point_and_line(intersection_point(X,Y),V))=>(incident_point_and_line(intersection_point(U,V),X)&incident_point_and_line(intersection_point(U,V),Y)))))))),inference(assume_negation,status(cth),[con])).
% 8.07/8.26 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[U]:(?[V]:((((convergent_lines(X,Y)&convergent_lines(U,V))&incident_point_and_line(intersection_point(X,Y),U))&incident_point_and_line(intersection_point(X,Y),V))&(~incident_point_and_line(intersection_point(U,V),X)|~incident_point_and_line(intersection_point(U,V),Y))))))),inference(fof_nnf,status(thm),[c0])).
% 8.07/8.26 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:((((convergent_lines(X2,X3)&convergent_lines(X4,X5))&incident_point_and_line(intersection_point(X2,X3),X4))&incident_point_and_line(intersection_point(X2,X3),X5))&(~incident_point_and_line(intersection_point(X4,X5),X2)|~incident_point_and_line(intersection_point(X4,X5),X3))))))),inference(variable_rename,status(thm),[c1])).
% 8.07/8.26 fof(c3,negated_conjecture,((((convergent_lines(skolem0001,skolem0002)&convergent_lines(skolem0003,skolem0004))&incident_point_and_line(intersection_point(skolem0001,skolem0002),skolem0003))&incident_point_and_line(intersection_point(skolem0001,skolem0002),skolem0004))&(~incident_point_and_line(intersection_point(skolem0003,skolem0004),skolem0001)|~incident_point_and_line(intersection_point(skolem0003,skolem0004),skolem0002))),inference(skolemize,status(esa),[c2])).
% 8.07/8.26 cnf(c8,negated_conjecture,~incident_point_and_line(intersection_point(skolem0003,skolem0004),skolem0001)|~incident_point_and_line(intersection_point(skolem0003,skolem0004),skolem0002),inference(split_conjunct,status(thm),[c3])).
% 8.07/8.26 cnf(c23285,plain,~incident_point_and_line(intersection_point(skolem0003,skolem0004),skolem0001),inference(resolution,status(thm),[c23267, c8])).
% 8.07/8.26 cnf(c23287,plain,$false,inference(resolution,status(thm),[c23285, c23267])).
% 8.07/8.26 # SZS output end CNFRefutation
% 8.07/8.26
% 8.07/8.26 # Initial clauses : 51
% 8.07/8.26 # Processed clauses : 668
% 8.07/8.26 # Factors computed : 86
% 8.07/8.26 # Resolvents computed: 23038
% 8.07/8.26 # Tautologies deleted: 12
% 8.07/8.26 # Forward subsumed : 1453
% 8.07/8.26 # Backward subsumed : 73
% 8.07/8.26 # -------- CPU Time ---------
% 8.07/8.26 # User time : 7.868 s
% 8.07/8.26 # System time : 0.049 s
% 8.07/8.26 # Total time : 7.917 s
%------------------------------------------------------------------------------