TSTP Solution File: GEO185+2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO185+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n023.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 05:59:00 EDT 2022
% Result : Theorem 1.36s 1.57s
% Output : Refutation 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO185+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n023.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 18:29:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.36/1.57 # Version: 1.3
% 1.36/1.57 # SZS status Theorem
% 1.36/1.57 # SZS output start CNFRefutation
% 1.36/1.57 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)))))))),input).
% 1.36/1.57 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])).
% 1.36/1.57 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])).
% 1.36/1.57 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])).
% 1.36/1.57 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])).
% 1.36/1.57 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])).
% 1.36/1.57 cnf(c7,negated_conjecture,~distinct_points(skolem0001,intersection_point(skolem0003,skolem0004)),inference(split_conjunct,status(thm),[c4])).
% 1.36/1.57 cnf(c6,negated_conjecture,convergent_lines(skolem0003,skolem0004),inference(split_conjunct,status(thm),[c4])).
% 1.36/1.57 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).
% 1.36/1.57 fof(c25,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])).
% 1.36/1.57 fof(c26,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),[c25])).
% 1.36/1.57 fof(c28,axiom,(![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,axiom,(![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])).])).
% 1.36/1.57 fof(c29,axiom,(![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])).
% 1.36/1.57 cnf(c31,axiom,~convergent_lines(X60,X61)|~apart_point_and_line(X62,X61)|distinct_points(X62,intersection_point(X60,X61)),inference(split_conjunct,status(thm),[c29])).
% 1.36/1.57 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),input).
% 1.36/1.57 fof(c54,axiom,(![X]:~convergent_lines(X,X)),inference(fof_simplification,status(thm),[apart3])).
% 1.36/1.57 fof(c55,axiom,(![X33]:~convergent_lines(X33,X33)),inference(variable_rename,status(thm),[c54])).
% 1.36/1.57 cnf(c56,axiom,~convergent_lines(X36,X36),inference(split_conjunct,status(thm),[c55])).
% 1.36/1.57 fof(apart6,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),input).
% 1.36/1.57 fof(c39,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(fof_nnf,status(thm),[apart6])).
% 1.36/1.57 fof(c40,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(shift_quantors,status(thm),[c39])).
% 1.36/1.57 fof(c42,axiom,(![X24]:(![X25]:(![X26]:(~convergent_lines(X24,X25)|(convergent_lines(X24,X26)|convergent_lines(X25,X26)))))),inference(shift_quantors,status(thm),[fof(c41,axiom,(![X24]:(![X25]:(~convergent_lines(X24,X25)|(![X26]:(convergent_lines(X24,X26)|convergent_lines(X25,X26)))))),inference(variable_rename,status(thm),[c40])).])).
% 1.36/1.57 cnf(c43,axiom,~convergent_lines(X51,X52)|convergent_lines(X51,X53)|convergent_lines(X52,X53),inference(split_conjunct,status(thm),[c42])).
% 1.36/1.57 cnf(c69,plain,convergent_lines(skolem0003,X54)|convergent_lines(skolem0004,X54),inference(resolution,status(thm),[c43, c6])).
% 1.36/1.57 cnf(c8,negated_conjecture,apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0001,skolem0004),inference(split_conjunct,status(thm),[c4])).
% 1.36/1.57 cnf(c30,axiom,~convergent_lines(X55,X56)|~apart_point_and_line(X57,X55)|distinct_points(X57,intersection_point(X55,X56)),inference(split_conjunct,status(thm),[c29])).
% 1.36/1.57 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])).
% 1.36/1.57 cnf(c222,plain,distinct_points(skolem0001,intersection_point(skolem0003,X671))|apart_point_and_line(skolem0001,skolem0004)|convergent_lines(skolem0004,X671),inference(resolution,status(thm),[c79, c69])).
% 1.36/1.57 cnf(c3531,plain,apart_point_and_line(skolem0001,skolem0004)|convergent_lines(skolem0004,skolem0004),inference(resolution,status(thm),[c222, c7])).
% 1.36/1.57 cnf(c3562,plain,apart_point_and_line(skolem0001,skolem0004),inference(resolution,status(thm),[c3531, c56])).
% 1.36/1.57 cnf(c3574,plain,~convergent_lines(X703,skolem0004)|distinct_points(skolem0001,intersection_point(X703,skolem0004)),inference(resolution,status(thm),[c3562, c31])).
% 1.36/1.57 cnf(c3758,plain,distinct_points(skolem0001,intersection_point(skolem0003,skolem0004)),inference(resolution,status(thm),[c3574, c6])).
% 1.36/1.57 cnf(c3794,plain,$false,inference(resolution,status(thm),[c3758, c7])).
% 1.36/1.57 # SZS output end CNFRefutation
% 1.36/1.57
% 1.36/1.57 # Initial clauses : 18
% 1.36/1.57 # Processed clauses : 167
% 1.36/1.57 # Factors computed : 113
% 1.36/1.57 # Resolvents computed: 3619
% 1.36/1.57 # Tautologies deleted: 0
% 1.36/1.57 # Forward subsumed : 394
% 1.36/1.57 # Backward subsumed : 38
% 1.36/1.57 # -------- CPU Time ---------
% 1.36/1.57 # User time : 1.224 s
% 1.36/1.57 # System time : 0.013 s
% 1.36/1.57 # Total time : 1.237 s
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