TSTP Solution File: GEO192+2 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO192+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 05:59:06 EDT 2022
% Result : Theorem 4.51s 4.68s
% Output : Refutation 4.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO192+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n029.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 : Fri Jun 17 16:09:43 EDT 2022
% 0.13/0.35 % CPUTime :
% 4.51/4.68 # Version: 1.3
% 4.51/4.68 # SZS status Theorem
% 4.51/4.68 # SZS output start CNFRefutation
% 4.51/4.68 fof(con,conjecture,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(apart_point_and_line(intersection_point(X,Y),Z)=>(distinct_lines(X,Z)&distinct_lines(Y,Z))))))),input).
% 4.51/4.68 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(apart_point_and_line(intersection_point(X,Y),Z)=>(distinct_lines(X,Z)&distinct_lines(Y,Z)))))))),inference(assume_negation,status(cth),[con])).
% 4.51/4.68 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[Z]:(convergent_lines(X,Y)&(apart_point_and_line(intersection_point(X,Y),Z)&(~distinct_lines(X,Z)|~distinct_lines(Y,Z))))))),inference(fof_nnf,status(thm),[c0])).
% 4.51/4.68 fof(c2,negated_conjecture,(?[X]:(?[Y]:(convergent_lines(X,Y)&(?[Z]:(apart_point_and_line(intersection_point(X,Y),Z)&(~distinct_lines(X,Z)|~distinct_lines(Y,Z))))))),inference(shift_quantors,status(thm),[c1])).
% 4.51/4.68 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(convergent_lines(X2,X3)&(?[X4]:(apart_point_and_line(intersection_point(X2,X3),X4)&(~distinct_lines(X2,X4)|~distinct_lines(X3,X4))))))),inference(variable_rename,status(thm),[c2])).
% 4.51/4.68 fof(c4,negated_conjecture,(convergent_lines(skolem0001,skolem0002)&(apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0003)&(~distinct_lines(skolem0001,skolem0003)|~distinct_lines(skolem0002,skolem0003)))),inference(skolemize,status(esa),[c3])).
% 4.51/4.68 cnf(c7,negated_conjecture,~distinct_lines(skolem0001,skolem0003)|~distinct_lines(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c4])).
% 4.51/4.68 fof(apart2,axiom,(![X]:(~distinct_lines(X,X))),input).
% 4.51/4.68 fof(c56,axiom,(![X]:~distinct_lines(X,X)),inference(fof_simplification,status(thm),[apart2])).
% 4.51/4.68 fof(c57,axiom,(![X33]:~distinct_lines(X33,X33)),inference(variable_rename,status(thm),[c56])).
% 4.51/4.68 cnf(c58,axiom,~distinct_lines(X36,X36),inference(split_conjunct,status(thm),[c57])).
% 4.51/4.68 fof(apart5,axiom,(![X]:(![Y]:(![Z]:(distinct_lines(X,Y)=>(distinct_lines(X,Z)|distinct_lines(Y,Z)))))),input).
% 4.51/4.68 fof(c43,axiom,(![X]:(![Y]:(![Z]:(~distinct_lines(X,Y)|(distinct_lines(X,Z)|distinct_lines(Y,Z)))))),inference(fof_nnf,status(thm),[apart5])).
% 4.51/4.68 fof(c44,axiom,(![X]:(![Y]:(~distinct_lines(X,Y)|(![Z]:(distinct_lines(X,Z)|distinct_lines(Y,Z)))))),inference(shift_quantors,status(thm),[c43])).
% 4.51/4.68 fof(c46,axiom,(![X26]:(![X27]:(![X28]:(~distinct_lines(X26,X27)|(distinct_lines(X26,X28)|distinct_lines(X27,X28)))))),inference(shift_quantors,status(thm),[fof(c45,axiom,(![X26]:(![X27]:(~distinct_lines(X26,X27)|(![X28]:(distinct_lines(X26,X28)|distinct_lines(X27,X28)))))),inference(variable_rename,status(thm),[c44])).])).
% 4.51/4.68 cnf(c47,axiom,~distinct_lines(X69,X68)|distinct_lines(X69,X70)|distinct_lines(X68,X70),inference(split_conjunct,status(thm),[c46])).
% 4.51/4.68 fof(apart1,axiom,(![X]:(~distinct_points(X,X))),input).
% 4.51/4.68 fof(c59,axiom,(![X]:~distinct_points(X,X)),inference(fof_simplification,status(thm),[apart1])).
% 4.51/4.68 fof(c60,axiom,(![X34]:~distinct_points(X34,X34)),inference(variable_rename,status(thm),[c59])).
% 4.51/4.68 cnf(c61,axiom,~distinct_points(X37,X37),inference(split_conjunct,status(thm),[c60])).
% 4.51/4.68 fof(ceq3,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>distinct_lines(X,Y)))),input).
% 4.51/4.68 fof(c8,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|distinct_lines(X,Y)))),inference(fof_nnf,status(thm),[ceq3])).
% 4.51/4.68 fof(c9,axiom,(![X5]:(![X6]:(~convergent_lines(X5,X6)|distinct_lines(X5,X6)))),inference(variable_rename,status(thm),[c8])).
% 4.51/4.68 cnf(c10,axiom,~convergent_lines(X38,X39)|distinct_lines(X38,X39),inference(split_conjunct,status(thm),[c9])).
% 4.51/4.68 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),input).
% 4.51/4.68 fof(c53,axiom,(![X]:~convergent_lines(X,X)),inference(fof_simplification,status(thm),[apart3])).
% 4.51/4.68 fof(c54,axiom,(![X32]:~convergent_lines(X32,X32)),inference(variable_rename,status(thm),[c53])).
% 4.51/4.68 cnf(c55,axiom,~convergent_lines(X35,X35),inference(split_conjunct,status(thm),[c54])).
% 4.51/4.68 fof(apart6,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),input).
% 4.51/4.68 fof(c38,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(fof_nnf,status(thm),[apart6])).
% 4.51/4.68 fof(c39,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(shift_quantors,status(thm),[c38])).
% 4.51/4.68 fof(c41,axiom,(![X23]:(![X24]:(![X25]:(~convergent_lines(X23,X24)|(convergent_lines(X23,X25)|convergent_lines(X24,X25)))))),inference(shift_quantors,status(thm),[fof(c40,axiom,(![X23]:(![X24]:(~convergent_lines(X23,X24)|(![X25]:(convergent_lines(X23,X25)|convergent_lines(X24,X25)))))),inference(variable_rename,status(thm),[c39])).])).
% 4.51/4.68 cnf(c42,axiom,~convergent_lines(X48,X47)|convergent_lines(X48,X46)|convergent_lines(X47,X46),inference(split_conjunct,status(thm),[c41])).
% 4.51/4.68 cnf(c5,negated_conjecture,convergent_lines(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c4])).
% 4.51/4.68 cnf(c65,plain,convergent_lines(skolem0001,X53)|convergent_lines(skolem0002,X53),inference(resolution,status(thm),[c42, c5])).
% 4.51/4.68 cnf(c71,plain,convergent_lines(skolem0001,X89)|convergent_lines(skolem0002,X90)|convergent_lines(X89,X90),inference(resolution,status(thm),[c65, c42])).
% 4.51/4.68 cnf(c149,plain,convergent_lines(skolem0001,X96)|convergent_lines(X96,skolem0002),inference(resolution,status(thm),[c71, c55])).
% 4.51/4.68 cnf(c169,plain,convergent_lines(skolem0001,X105)|distinct_lines(X105,skolem0002),inference(resolution,status(thm),[c149, c10])).
% 4.51/4.68 fof(con2,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>((apart_point_and_line(Z,X)|apart_point_and_line(Z,Y))=>distinct_points(Z,intersection_point(X,Y))))))),input).
% 4.51/4.68 fof(c24,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|((~apart_point_and_line(Z,X)&~apart_point_and_line(Z,Y))|distinct_points(Z,intersection_point(X,Y))))))),inference(fof_nnf,status(thm),[con2])).
% 4.51/4.68 fof(c25,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:((~apart_point_and_line(Z,X)&~apart_point_and_line(Z,Y))|distinct_points(Z,intersection_point(X,Y))))))),inference(shift_quantors,status(thm),[c24])).
% 4.51/4.68 fof(c27,axiom,(![X17]:(![X18]:(![X19]:(~convergent_lines(X17,X18)|((~apart_point_and_line(X19,X17)&~apart_point_and_line(X19,X18))|distinct_points(X19,intersection_point(X17,X18))))))),inference(shift_quantors,status(thm),[fof(c26,axiom,(![X17]:(![X18]:(~convergent_lines(X17,X18)|(![X19]:((~apart_point_and_line(X19,X17)&~apart_point_and_line(X19,X18))|distinct_points(X19,intersection_point(X17,X18))))))),inference(variable_rename,status(thm),[c25])).])).
% 4.51/4.68 fof(c28,axiom,(![X17]:(![X18]:(![X19]:((~convergent_lines(X17,X18)|(~apart_point_and_line(X19,X17)|distinct_points(X19,intersection_point(X17,X18))))&(~convergent_lines(X17,X18)|(~apart_point_and_line(X19,X18)|distinct_points(X19,intersection_point(X17,X18)))))))),inference(distribute,status(thm),[c27])).
% 4.51/4.68 cnf(c30,axiom,~convergent_lines(X61,X60)|~apart_point_and_line(X59,X60)|distinct_points(X59,intersection_point(X61,X60)),inference(split_conjunct,status(thm),[c28])).
% 4.51/4.68 cnf(c6,negated_conjecture,apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0003),inference(split_conjunct,status(thm),[c4])).
% 4.51/4.68 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),input).
% 4.51/4.68 fof(c11,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])).
% 4.51/4.68 fof(c12,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),[c11])).
% 4.51/4.68 fof(c14,axiom,(![X7]:(![X8]:(![X9]:(~apart_point_and_line(X7,X8)|(distinct_lines(X8,X9)|apart_point_and_line(X7,X9)))))),inference(shift_quantors,status(thm),[fof(c13,axiom,(![X7]:(![X8]:(~apart_point_and_line(X7,X8)|(![X9]:(distinct_lines(X8,X9)|apart_point_and_line(X7,X9)))))),inference(variable_rename,status(thm),[c12])).])).
% 4.51/4.68 cnf(c15,axiom,~apart_point_and_line(X40,X42)|distinct_lines(X42,X41)|apart_point_and_line(X40,X41),inference(split_conjunct,status(thm),[c14])).
% 4.51/4.68 cnf(c63,plain,distinct_lines(skolem0003,X79)|apart_point_and_line(intersection_point(skolem0001,skolem0002),X79),inference(resolution,status(thm),[c15, c6])).
% 4.51/4.68 cnf(c106,plain,distinct_lines(skolem0003,X175)|~convergent_lines(X174,X175)|distinct_points(intersection_point(skolem0001,skolem0002),intersection_point(X174,X175)),inference(resolution,status(thm),[c63, c30])).
% 4.51/4.68 cnf(c414,plain,distinct_lines(skolem0003,X1359)|distinct_points(intersection_point(skolem0001,skolem0002),intersection_point(skolem0001,X1359))|distinct_lines(X1359,skolem0002),inference(resolution,status(thm),[c106, c169])).
% 4.51/4.68 cnf(c7899,plain,distinct_lines(skolem0003,skolem0002)|distinct_lines(skolem0002,skolem0002),inference(resolution,status(thm),[c414, c61])).
% 4.51/4.68 cnf(c7938,plain,distinct_lines(skolem0003,skolem0002),inference(resolution,status(thm),[c7899, c58])).
% 4.51/4.68 cnf(c7939,plain,distinct_lines(skolem0003,X1360)|distinct_lines(skolem0002,X1360),inference(resolution,status(thm),[c7938, c47])).
% 4.51/4.68 cnf(c7943,plain,distinct_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c7939, c58])).
% 4.51/4.68 cnf(c7950,plain,~distinct_lines(skolem0001,skolem0003),inference(resolution,status(thm),[c7943, c7])).
% 4.51/4.68 cnf(c29,axiom,~convergent_lines(X57,X56)|~apart_point_and_line(X55,X57)|distinct_points(X55,intersection_point(X57,X56)),inference(split_conjunct,status(thm),[c28])).
% 4.51/4.68 cnf(c108,plain,distinct_lines(skolem0003,X185)|~convergent_lines(X185,X184)|distinct_points(intersection_point(skolem0001,skolem0002),intersection_point(X185,X184)),inference(resolution,status(thm),[c63, c29])).
% 4.51/4.68 cnf(c502,plain,distinct_lines(skolem0003,skolem0001)|distinct_points(intersection_point(skolem0001,skolem0002),intersection_point(skolem0001,X1725))|distinct_lines(X1725,skolem0002),inference(resolution,status(thm),[c108, c169])).
% 4.51/4.68 cnf(c11300,plain,distinct_lines(skolem0003,skolem0001)|distinct_lines(skolem0002,skolem0002),inference(resolution,status(thm),[c502, c61])).
% 4.51/4.68 cnf(c11342,plain,distinct_lines(skolem0003,skolem0001),inference(resolution,status(thm),[c11300, c58])).
% 4.51/4.68 cnf(c11343,plain,distinct_lines(skolem0003,X1730)|distinct_lines(skolem0001,X1730),inference(resolution,status(thm),[c11342, c47])).
% 4.51/4.68 cnf(c11347,plain,distinct_lines(skolem0001,skolem0003),inference(resolution,status(thm),[c11343, c58])).
% 4.51/4.68 cnf(c11354,plain,$false,inference(resolution,status(thm),[c11347, c7950])).
% 4.51/4.68 # SZS output end CNFRefutation
% 4.51/4.68
% 4.51/4.68 # Initial clauses : 17
% 4.51/4.68 # Processed clauses : 370
% 4.51/4.68 # Factors computed : 295
% 4.51/4.68 # Resolvents computed: 10998
% 4.51/4.68 # Tautologies deleted: 5
% 4.51/4.68 # Forward subsumed : 1121
% 4.51/4.68 # Backward subsumed : 116
% 4.51/4.68 # -------- CPU Time ---------
% 4.51/4.68 # User time : 4.277 s
% 4.51/4.68 # System time : 0.050 s
% 4.51/4.68 # Total time : 4.327 s
%------------------------------------------------------------------------------