TSTP Solution File: GEO185+2 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO185+2 : TPTP v8.1.2. Released v3.3.0.
% 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 : 300s
% DateTime : Thu May 9 17:21:21 EDT 2024
% Result : Theorem 1.36s 1.55s
% Output : Refutation 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO185+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 9 08:37:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 1.36/1.55 % Version: 1.5
% 1.36/1.55 % SZS status Theorem
% 1.36/1.55 % SZS output start CNFRefutation
% 1.36/1.55 fof(con,conjecture,(![X]:(![Y]:(![U]:(![V]:(((distinct_points(X,Y)&convergent_lines(U,V))&(~distinct_points(X,intersection_point(U,V))))=>((~apart_point_and_line(X,U))&(~apart_point_and_line(X,V)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 1.36/1.55 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![U]:(![V]:(((distinct_points(X,Y)&convergent_lines(U,V))&(~distinct_points(X,intersection_point(U,V))))=>((~apart_point_and_line(X,U))&(~apart_point_and_line(X,V))))))))),inference(assume_negation,[status(cth)],[con])).
% 1.36/1.55 fof(c1,negated_conjecture,(~(![X]:(![Y]:(![U]:(![V]:(((distinct_points(X,Y)&convergent_lines(U,V))&~distinct_points(X,intersection_point(U,V)))=>(~apart_point_and_line(X,U)&~apart_point_and_line(X,V)))))))),inference(fof_simplification,[status(thm)],[c0])).
% 1.36/1.55 fof(c2,negated_conjecture,(?[X]:(?[Y]:(?[U]:(?[V]:(((distinct_points(X,Y)&convergent_lines(U,V))&~distinct_points(X,intersection_point(U,V)))&(apart_point_and_line(X,U)|apart_point_and_line(X,V))))))),inference(fof_nnf,[status(thm)],[c1])).
% 1.36/1.55 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(((distinct_points(X2,X3)&convergent_lines(X4,X5))&~distinct_points(X2,intersection_point(X4,X5)))&(apart_point_and_line(X2,X4)|apart_point_and_line(X2,X5))))))),inference(variable_rename,[status(thm)],[c2])).
% 1.36/1.55 fof(c4,negated_conjecture,(((distinct_points(skolem0001,skolem0002)&convergent_lines(skolem0003,skolem0004))&~distinct_points(skolem0001,intersection_point(skolem0003,skolem0004)))&(apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0001,skolem0004))),inference(skolemize,[status(esa)],[c3])).
% 1.36/1.55 cnf(c7,negated_conjecture,~distinct_points(skolem0001,intersection_point(skolem0003,skolem0004)),inference(split_conjunct,[status(thm)],[c4])).
% 1.36/1.55 cnf(c6,negated_conjecture,convergent_lines(skolem0003,skolem0004),inference(split_conjunct,[status(thm)],[c4])).
% 1.36/1.55 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))))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', con2)).
% 1.36/1.55 fof(c25,plain,(![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])).
% 1.36/1.55 fof(c26,plain,(![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)],[c25])).
% 1.36/1.55 fof(c28,plain,(![X18]:(![X19]:(![X20]:(~convergent_lines(X18,X19)|((~apart_point_and_line(X20,X18)&~apart_point_and_line(X20,X19))|distinct_points(X20,intersection_point(X18,X19))))))),inference(shift_quantors,[status(thm)],[fof(c27,plain,(![X18]:(![X19]:(~convergent_lines(X18,X19)|(![X20]:((~apart_point_and_line(X20,X18)&~apart_point_and_line(X20,X19))|distinct_points(X20,intersection_point(X18,X19))))))),inference(variable_rename,[status(thm)],[c26])).])).
% 1.36/1.55 fof(c29,plain,(![X18]:(![X19]:(![X20]:((~convergent_lines(X18,X19)|(~apart_point_and_line(X20,X18)|distinct_points(X20,intersection_point(X18,X19))))&(~convergent_lines(X18,X19)|(~apart_point_and_line(X20,X19)|distinct_points(X20,intersection_point(X18,X19)))))))),inference(distribute,[status(thm)],[c28])).
% 1.36/1.55 cnf(c31,plain,~convergent_lines(X60,X62)|~apart_point_and_line(X61,X62)|distinct_points(X61,intersection_point(X60,X62)),inference(split_conjunct,[status(thm)],[c29])).
% 1.36/1.55 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart3)).
% 1.36/1.55 fof(c54,plain,(![X]:~convergent_lines(X,X)),inference(fof_simplification,[status(thm)],[apart3])).
% 1.36/1.55 fof(c55,plain,(![X33]:~convergent_lines(X33,X33)),inference(variable_rename,[status(thm)],[c54])).
% 1.36/1.55 cnf(c56,plain,~convergent_lines(X36,X36),inference(split_conjunct,[status(thm)],[c55])).
% 1.36/1.55 fof(apart6,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart6)).
% 1.36/1.55 fof(c39,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(fof_nnf,[status(thm)],[apart6])).
% 1.36/1.55 fof(c40,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(shift_quantors,[status(thm)],[c39])).
% 1.36/1.55 fof(c42,plain,(![X24]:(![X25]:(![X26]:(~convergent_lines(X24,X25)|(convergent_lines(X24,X26)|convergent_lines(X25,X26)))))),inference(shift_quantors,[status(thm)],[fof(c41,plain,(![X24]:(![X25]:(~convergent_lines(X24,X25)|(![X26]:(convergent_lines(X24,X26)|convergent_lines(X25,X26)))))),inference(variable_rename,[status(thm)],[c40])).])).
% 1.36/1.55 cnf(c43,plain,~convergent_lines(X51,X52)|convergent_lines(X51,X53)|convergent_lines(X52,X53),inference(split_conjunct,[status(thm)],[c42])).
% 1.36/1.55 cnf(c69,plain,convergent_lines(skolem0003,X54)|convergent_lines(skolem0004,X54),inference(resolution,[status(thm)],[c43, c6])).
% 1.36/1.55 cnf(c73,plain,convergent_lines(skolem0003,X99)|convergent_lines(skolem0004,X98)|convergent_lines(X99,X98),inference(resolution,[status(thm)],[c69, c43])).
% 1.36/1.55 cnf(c8,negated_conjecture,apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0001,skolem0004),inference(split_conjunct,[status(thm)],[c4])).
% 1.36/1.55 cnf(c30,plain,~convergent_lines(X55,X57)|~apart_point_and_line(X56,X55)|distinct_points(X56,intersection_point(X55,X57)),inference(split_conjunct,[status(thm)],[c29])).
% 1.36/1.55 cnf(c79,plain,~convergent_lines(skolem0003,X105)|distinct_points(skolem0001,intersection_point(skolem0003,X105))|apart_point_and_line(skolem0001,skolem0004),inference(resolution,[status(thm)],[c30, c8])).
% 1.36/1.55 cnf(c220,plain,distinct_points(skolem0001,intersection_point(skolem0003,X658))|apart_point_and_line(skolem0001,skolem0004)|convergent_lines(skolem0004,X659)|convergent_lines(X658,X659),inference(resolution,[status(thm)],[c79, c73])).
% 1.36/1.55 cnf(c3378,plain,apart_point_and_line(skolem0001,skolem0004)|convergent_lines(skolem0004,X660),inference(resolution,[status(thm)],[c220, c7])).
% 1.36/1.55 cnf(c3460,plain,apart_point_and_line(skolem0001,skolem0004),inference(resolution,[status(thm)],[c3378, c56])).
% 1.36/1.55 cnf(c3462,plain,~convergent_lines(X683,skolem0004)|distinct_points(skolem0001,intersection_point(X683,skolem0004)),inference(resolution,[status(thm)],[c3460, c31])).
% 1.36/1.55 cnf(c3592,plain,distinct_points(skolem0001,intersection_point(skolem0003,skolem0004)),inference(resolution,[status(thm)],[c3462, c6])).
% 1.36/1.55 cnf(c3668,plain,$false,inference(resolution,[status(thm)],[c3592, c7])).
% 1.36/1.55 % SZS output end CNFRefutation
% 1.36/1.55
% 1.36/1.55 % Initial clauses : 18
% 1.36/1.55 % Processed clauses : 163
% 1.36/1.55 % Factors computed : 111
% 1.36/1.55 % Resolvents computed: 3505
% 1.36/1.55 % Tautologies deleted: 0
% 1.36/1.55 % Forward subsumed : 378
% 1.36/1.55 % Backward subsumed : 37
% 1.36/1.55 % -------- CPU Time ---------
% 1.36/1.55 % User time : 1.166 s
% 1.36/1.55 % System time : 0.019 s
% 1.36/1.55 % Total time : 1.185 s
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