%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO186+1 : TPTP v8.1.2. 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 : 300s
% DateTime : Thu May 9 17:21:22 EDT 2024
% Result : Theorem 47.55s 47.72s
% Output : Refutation 47.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO186+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.37 % Computer : n029.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu May 9 07:44:23 EDT 2024
% 0.16/0.37 % CPUTime :
% 47.55/47.72 % Version: 1.5
% 47.55/47.72 % SZS status Theorem
% 47.55/47.72 % SZS output start CNFRefutation
% 47.55/47.72 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)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 47.55/47.72 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])).
% 47.55/47.72 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])).
% 47.55/47.72 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])).
% 47.55/47.72 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])).
% 47.55/47.72 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])).
% 47.55/47.72 cnf(c6,negated_conjecture,convergent_lines(skolem0003,skolem0004),inference(split_conjunct,[status(thm)],[c4])).
% 47.55/47.72 fof(ci3,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>(~apart_point_and_line(intersection_point(X,Y),X))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci3)).
% 47.55/47.72 fof(c32,plain,(![X]:(![Y]:(convergent_lines(X,Y)=>~apart_point_and_line(intersection_point(X,Y),X)))),inference(fof_simplification,[status(thm)],[ci3])).
% 47.55/47.72 fof(c33,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X)))),inference(fof_nnf,[status(thm)],[c32])).
% 47.55/47.72 fof(c34,plain,(![X21]:(![X22]:(~convergent_lines(X21,X22)|~apart_point_and_line(intersection_point(X21,X22),X21)))),inference(variable_rename,[status(thm)],[c33])).
% 47.55/47.72 cnf(c35,plain,~convergent_lines(X44,X45)|~apart_point_and_line(intersection_point(X44,X45),X44),inference(split_conjunct,[status(thm)],[c34])).
% 47.55/47.72 fof(ci4,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>(~apart_point_and_line(intersection_point(X,Y),Y))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci4)).
% 47.55/47.72 fof(c28,plain,(![X]:(![Y]:(convergent_lines(X,Y)=>~apart_point_and_line(intersection_point(X,Y),Y)))),inference(fof_simplification,[status(thm)],[ci4])).
% 47.55/47.72 fof(c29,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),Y)))),inference(fof_nnf,[status(thm)],[c28])).
% 47.55/47.72 fof(c30,plain,(![X19]:(![X20]:(~convergent_lines(X19,X20)|~apart_point_and_line(intersection_point(X19,X20),X20)))),inference(variable_rename,[status(thm)],[c29])).
% 47.55/47.72 cnf(c31,plain,~convergent_lines(X43,X42)|~apart_point_and_line(intersection_point(X43,X42),X42),inference(split_conjunct,[status(thm)],[c30])).
% 47.55/47.72 cnf(c7,negated_conjecture,~apart_point_and_line(skolem0001,skolem0003),inference(split_conjunct,[status(thm)],[c4])).
% 47.55/47.72 cnf(c8,negated_conjecture,~apart_point_and_line(skolem0001,skolem0004),inference(split_conjunct,[status(thm)],[c4])).
% 47.55/47.72 cnf(c9,negated_conjecture,distinct_points(skolem0001,intersection_point(skolem0003,skolem0004)),inference(split_conjunct,[status(thm)],[c4])).
% 47.55/47.72 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart3)).
% 47.55/47.72 fof(c59,plain,(![X]:~convergent_lines(X,X)),inference(fof_simplification,[status(thm)],[apart3])).
% 47.55/47.72 fof(c60,plain,(![X36]:~convergent_lines(X36,X36)),inference(variable_rename,[status(thm)],[c59])).
% 47.55/47.72 cnf(c61,plain,~convergent_lines(X39,X39),inference(split_conjunct,[status(thm)],[c60])).
% 47.55/47.72 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 47.55/47.72 fof(c10,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,[status(thm)],[ceq3])).
% 47.55/47.72 fof(c11,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,[status(thm)],[c10])).
% 47.55/47.72 fof(c13,plain,(![X6]:(![X7]:(![X8]:(~convergent_lines(X6,X7)|(distinct_lines(X7,X8)|convergent_lines(X6,X8)))))),inference(shift_quantors,[status(thm)],[fof(c12,plain,(![X6]:(![X7]:(~convergent_lines(X6,X7)|(![X8]:(distinct_lines(X7,X8)|convergent_lines(X6,X8)))))),inference(variable_rename,[status(thm)],[c11])).])).
% 47.55/47.72 cnf(c14,plain,~convergent_lines(X50,X48)|distinct_lines(X48,X49)|convergent_lines(X50,X49),inference(split_conjunct,[status(thm)],[c13])).
% 47.55/47.72 cnf(c68,plain,distinct_lines(skolem0004,X51)|convergent_lines(skolem0003,X51),inference(resolution,[status(thm)],[c14, c6])).
% 47.55/47.72 cnf(c70,plain,distinct_lines(skolem0004,skolem0003),inference(resolution,[status(thm)],[c68, c61])).
% 47.55/47.72 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))))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', cu1)).
% 47.55/47.72 fof(c25,plain,(![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])).
% 47.55/47.72 fof(c26,plain,(![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])).
% 47.55/47.72 cnf(c27,plain,~distinct_points(X67,X65)|~distinct_lines(X68,X66)|apart_point_and_line(X67,X68)|apart_point_and_line(X67,X66)|apart_point_and_line(X65,X68)|apart_point_and_line(X65,X66),inference(split_conjunct,[status(thm)],[c26])).
% 47.55/47.72 cnf(c82,plain,~distinct_points(X111,X110)|apart_point_and_line(X111,skolem0004)|apart_point_and_line(X111,skolem0003)|apart_point_and_line(X110,skolem0004)|apart_point_and_line(X110,skolem0003),inference(resolution,[status(thm)],[c27, c70])).
% 47.55/47.72 cnf(c205,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)],[c82, c9])).
% 47.55/47.72 cnf(c1260,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)],[c205, c8])).
% 47.55/47.72 cnf(c37673,plain,apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0004)|apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0003),inference(resolution,[status(thm)],[c1260, c7])).
% 47.55/47.72 cnf(c50692,plain,apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0003)|~convergent_lines(skolem0003,skolem0004),inference(resolution,[status(thm)],[c37673, c31])).
% 47.55/47.72 cnf(c50999,plain,apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0003),inference(resolution,[status(thm)],[c50692, c6])).
% 47.55/47.72 cnf(c51422,plain,~convergent_lines(skolem0003,skolem0004),inference(resolution,[status(thm)],[c50999, c35])).
% 47.55/47.72 cnf(c51726,plain,$false,inference(resolution,[status(thm)],[c51422, c6])).
% 47.55/47.72 % SZS output end CNFRefutation
% 47.55/47.72
% 47.55/47.72 % Initial clauses : 19
% 47.55/47.72 % Processed clauses : 767
% 47.55/47.72 % Factors computed : 2389
% 47.55/47.72 % Resolvents computed: 49691
% 47.55/47.72 % Tautologies deleted: 0
% 47.55/47.72 % Forward subsumed : 3333
% 47.55/47.72 % Backward subsumed : 55
% 47.55/47.72 % -------- CPU Time ---------
% 47.55/47.72 % User time : 47.182 s
% 47.55/47.72 % System time : 0.157 s
% 47.55/47.72 % Total time : 47.339 s
%------------------------------------------------------------------------------