TSTP Solution File: GEO186+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO186+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 05:59:01 EDT 2022
% Result : Theorem 88.04s 88.24s
% Output : Refutation 88.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO186+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.33 % CPULimit : 300
% 0.18/0.33 % WCLimit : 600
% 0.18/0.33 % DateTime : Fri Jun 17 16:41:42 EDT 2022
% 0.18/0.33 % CPUTime :
% 88.04/88.24 # Version: 1.3
% 88.04/88.24 # SZS status Theorem
% 88.04/88.24 # SZS output start CNFRefutation
% 88.04/88.24 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).
% 88.04/88.24 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])).
% 88.04/88.24 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_simplification,status(thm),[c0])).
% 88.04/88.24 fof(c2,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),[c1])).
% 88.04/88.24 fof(c3,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),[c2])).
% 88.04/88.24 fof(c4,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),[c3])).
% 88.04/88.24 cnf(c6,negated_conjecture,convergent_lines(skolem0003,skolem0004),inference(split_conjunct,status(thm),[c4])).
% 88.04/88.24 fof(ci3,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>(~apart_point_and_line(intersection_point(X,Y),X))))),input).
% 88.04/88.24 fof(c32,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>~apart_point_and_line(intersection_point(X,Y),X)))),inference(fof_simplification,status(thm),[ci3])).
% 88.04/88.24 fof(c33,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X)))),inference(fof_nnf,status(thm),[c32])).
% 88.04/88.24 fof(c34,axiom,(![X21]:(![X22]:(~convergent_lines(X21,X22)|~apart_point_and_line(intersection_point(X21,X22),X21)))),inference(variable_rename,status(thm),[c33])).
% 88.04/88.24 cnf(c35,axiom,~convergent_lines(X44,X45)|~apart_point_and_line(intersection_point(X44,X45),X44),inference(split_conjunct,status(thm),[c34])).
% 88.04/88.24 fof(ci4,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>(~apart_point_and_line(intersection_point(X,Y),Y))))),input).
% 88.04/88.24 fof(c28,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>~apart_point_and_line(intersection_point(X,Y),Y)))),inference(fof_simplification,status(thm),[ci4])).
% 88.04/88.24 fof(c29,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),Y)))),inference(fof_nnf,status(thm),[c28])).
% 88.04/88.24 fof(c30,axiom,(![X19]:(![X20]:(~convergent_lines(X19,X20)|~apart_point_and_line(intersection_point(X19,X20),X20)))),inference(variable_rename,status(thm),[c29])).
% 88.04/88.24 cnf(c31,axiom,~convergent_lines(X42,X43)|~apart_point_and_line(intersection_point(X42,X43),X43),inference(split_conjunct,status(thm),[c30])).
% 88.04/88.24 cnf(c7,negated_conjecture,~apart_point_and_line(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c4])).
% 88.04/88.24 cnf(c8,negated_conjecture,~apart_point_and_line(skolem0001,skolem0004),inference(split_conjunct,status(thm),[c4])).
% 88.04/88.24 cnf(c9,negated_conjecture,distinct_points(skolem0001,intersection_point(skolem0003,skolem0004)),inference(split_conjunct,status(thm),[c4])).
% 88.04/88.24 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),input).
% 88.04/88.24 fof(c59,axiom,(![X]:~convergent_lines(X,X)),inference(fof_simplification,status(thm),[apart3])).
% 88.04/88.24 fof(c60,axiom,(![X36]:~convergent_lines(X36,X36)),inference(variable_rename,status(thm),[c59])).
% 88.04/88.24 cnf(c61,axiom,~convergent_lines(X39,X39),inference(split_conjunct,status(thm),[c60])).
% 88.04/88.24 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),input).
% 88.04/88.24 fof(c10,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,status(thm),[ceq3])).
% 88.04/88.24 fof(c11,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,status(thm),[c10])).
% 88.04/88.24 fof(c13,axiom,(![X6]:(![X7]:(![X8]:(~convergent_lines(X6,X7)|(distinct_lines(X7,X8)|convergent_lines(X6,X8)))))),inference(shift_quantors,status(thm),[fof(c12,axiom,(![X6]:(![X7]:(~convergent_lines(X6,X7)|(![X8]:(distinct_lines(X7,X8)|convergent_lines(X6,X8)))))),inference(variable_rename,status(thm),[c11])).])).
% 88.04/88.24 cnf(c14,axiom,~convergent_lines(X50,X49)|distinct_lines(X49,X48)|convergent_lines(X50,X48),inference(split_conjunct,status(thm),[c13])).
% 88.04/88.24 cnf(c68,plain,distinct_lines(skolem0004,X51)|convergent_lines(skolem0003,X51),inference(resolution,status(thm),[c14, c6])).
% 88.04/88.24 cnf(c71,plain,distinct_lines(skolem0004,skolem0003),inference(resolution,status(thm),[c68, c61])).
% 88.04/88.24 fof(cu1,axiom,(![X]:(![Y]:(![U]:(![V]:((distinct_points(X,Y)&distinct_lines(U,V))=>(((apart_point_and_line(X,U)|apart_point_and_line(X,V))|apart_point_and_line(Y,U))|apart_point_and_line(Y,V))))))),input).
% 88.04/88.24 fof(c25,axiom,(![X]:(![Y]:(![U]:(![V]:((~distinct_points(X,Y)|~distinct_lines(U,V))|(((apart_point_and_line(X,U)|apart_point_and_line(X,V))|apart_point_and_line(Y,U))|apart_point_and_line(Y,V))))))),inference(fof_nnf,status(thm),[cu1])).
% 88.04/88.24 fof(c26,axiom,(![X15]:(![X16]:(![X17]:(![X18]:((~distinct_points(X15,X16)|~distinct_lines(X17,X18))|(((apart_point_and_line(X15,X17)|apart_point_and_line(X15,X18))|apart_point_and_line(X16,X17))|apart_point_and_line(X16,X18))))))),inference(variable_rename,status(thm),[c25])).
% 88.04/88.24 cnf(c27,axiom,~distinct_points(X68,X67)|~distinct_lines(X66,X65)|apart_point_and_line(X68,X66)|apart_point_and_line(X68,X65)|apart_point_and_line(X67,X66)|apart_point_and_line(X67,X65),inference(split_conjunct,status(thm),[c26])).
% 88.04/88.24 cnf(c86,plain,~distinct_points(X120,X119)|apart_point_and_line(X120,skolem0004)|apart_point_and_line(X120,skolem0003)|apart_point_and_line(X119,skolem0004)|apart_point_and_line(X119,skolem0003),inference(resolution,status(thm),[c27, c71])).
% 88.04/88.24 cnf(c235,plain,apart_point_and_line(skolem0001,skolem0004)|apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0004)|apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0003),inference(resolution,status(thm),[c86, c9])).
% 88.04/88.24 cnf(c1552,plain,apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0004)|apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0003),inference(resolution,status(thm),[c235, c8])).
% 88.04/88.24 cnf(c84413,plain,apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0004)|apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0003),inference(resolution,status(thm),[c1552, c7])).
% 88.04/88.24 cnf(c89456,plain,apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0003)|~convergent_lines(skolem0003,skolem0004),inference(resolution,status(thm),[c84413, c31])).
% 88.04/88.24 cnf(c89665,plain,apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0003),inference(resolution,status(thm),[c89456, c6])).
% 88.04/88.24 cnf(c90282,plain,~convergent_lines(skolem0003,skolem0004),inference(resolution,status(thm),[c89665, c35])).
% 88.04/88.24 cnf(c90486,plain,$false,inference(resolution,status(thm),[c90282, c6])).
% 88.04/88.24 # SZS output end CNFRefutation
% 88.04/88.24
% 88.04/88.24 # Initial clauses : 19
% 88.04/88.24 # Processed clauses : 1059
% 88.04/88.24 # Factors computed : 2997
% 88.04/88.24 # Resolvents computed: 88036
% 88.04/88.24 # Tautologies deleted: 0
% 88.04/88.24 # Forward subsumed : 4186
% 88.04/88.24 # Backward subsumed : 93
% 88.04/88.24 # -------- CPU Time ---------
% 88.04/88.24 # User time : 87.631 s
% 88.04/88.24 # System time : 0.265 s
% 88.04/88.24 # Total time : 87.896 s
%------------------------------------------------------------------------------