TSTP Solution File: GEO185+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO185+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 0.85s 1.04s
% Output : Refutation 0.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO185+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n021.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 17:03:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.85/1.04 # Version: 1.3
% 0.85/1.04 # SZS status Theorem
% 0.85/1.04 # SZS output start CNFRefutation
% 0.85/1.04 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).
% 0.85/1.04 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])).
% 0.85/1.04 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])).
% 0.85/1.04 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])).
% 0.85/1.04 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])).
% 0.85/1.04 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])).
% 0.85/1.04 cnf(c6,negated_conjecture,convergent_lines(skolem0003,skolem0004),inference(split_conjunct,status(thm),[c4])).
% 0.85/1.04 fof(ci4,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>(~apart_point_and_line(intersection_point(X,Y),Y))))),input).
% 0.85/1.04 fof(c27,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>~apart_point_and_line(intersection_point(X,Y),Y)))),inference(fof_simplification,status(thm),[ci4])).
% 0.85/1.04 fof(c28,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),Y)))),inference(fof_nnf,status(thm),[c27])).
% 0.85/1.04 fof(c29,axiom,(![X19]:(![X20]:(~convergent_lines(X19,X20)|~apart_point_and_line(intersection_point(X19,X20),X20)))),inference(variable_rename,status(thm),[c28])).
% 0.85/1.04 cnf(c30,axiom,~convergent_lines(X43,X42)|~apart_point_and_line(intersection_point(X43,X42),X42),inference(split_conjunct,status(thm),[c29])).
% 0.85/1.04 cnf(c7,negated_conjecture,~distinct_points(skolem0001,intersection_point(skolem0003,skolem0004)),inference(split_conjunct,status(thm),[c4])).
% 0.85/1.04 fof(ceq1,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_points(X,Z)|apart_point_and_line(Z,Y)))))),input).
% 0.85/1.04 fof(c19,axiom,(![X]:(![Y]:(![Z]:(~apart_point_and_line(X,Y)|(distinct_points(X,Z)|apart_point_and_line(Z,Y)))))),inference(fof_nnf,status(thm),[ceq1])).
% 0.85/1.04 fof(c20,axiom,(![X]:(![Y]:(~apart_point_and_line(X,Y)|(![Z]:(distinct_points(X,Z)|apart_point_and_line(Z,Y)))))),inference(shift_quantors,status(thm),[c19])).
% 0.85/1.04 fof(c22,axiom,(![X12]:(![X13]:(![X14]:(~apart_point_and_line(X12,X13)|(distinct_points(X12,X14)|apart_point_and_line(X14,X13)))))),inference(shift_quantors,status(thm),[fof(c21,axiom,(![X12]:(![X13]:(~apart_point_and_line(X12,X13)|(![X14]:(distinct_points(X12,X14)|apart_point_and_line(X14,X13)))))),inference(variable_rename,status(thm),[c20])).])).
% 0.85/1.04 cnf(c23,axiom,~apart_point_and_line(X59,X57)|distinct_points(X59,X58)|apart_point_and_line(X58,X57),inference(split_conjunct,status(thm),[c22])).
% 0.85/1.04 fof(ci3,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>(~apart_point_and_line(intersection_point(X,Y),X))))),input).
% 0.85/1.04 fof(c31,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>~apart_point_and_line(intersection_point(X,Y),X)))),inference(fof_simplification,status(thm),[ci3])).
% 0.85/1.04 fof(c32,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X)))),inference(fof_nnf,status(thm),[c31])).
% 0.85/1.04 fof(c33,axiom,(![X21]:(![X22]:(~convergent_lines(X21,X22)|~apart_point_and_line(intersection_point(X21,X22),X21)))),inference(variable_rename,status(thm),[c32])).
% 0.85/1.04 cnf(c34,axiom,~convergent_lines(X44,X45)|~apart_point_and_line(intersection_point(X44,X45),X44),inference(split_conjunct,status(thm),[c33])).
% 0.85/1.04 cnf(c8,negated_conjecture,apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0001,skolem0004),inference(split_conjunct,status(thm),[c4])).
% 0.85/1.04 cnf(c73,plain,distinct_points(skolem0001,X90)|apart_point_and_line(X90,skolem0003)|apart_point_and_line(skolem0001,skolem0004),inference(resolution,status(thm),[c23, c8])).
% 0.85/1.04 cnf(c165,plain,apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0003)|apart_point_and_line(skolem0001,skolem0004),inference(resolution,status(thm),[c73, c7])).
% 0.85/1.04 cnf(c1400,plain,apart_point_and_line(skolem0001,skolem0004)|~convergent_lines(skolem0003,skolem0004),inference(resolution,status(thm),[c165, c34])).
% 0.85/1.04 cnf(c1422,plain,apart_point_and_line(skolem0001,skolem0004),inference(resolution,status(thm),[c1400, c6])).
% 0.85/1.04 cnf(c1459,plain,distinct_points(skolem0001,X434)|apart_point_and_line(X434,skolem0004),inference(resolution,status(thm),[c1422, c23])).
% 0.85/1.04 cnf(c1470,plain,apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0004),inference(resolution,status(thm),[c1459, c7])).
% 0.85/1.04 cnf(c1487,plain,~convergent_lines(skolem0003,skolem0004),inference(resolution,status(thm),[c1470, c30])).
% 0.85/1.04 cnf(c1507,plain,$false,inference(resolution,status(thm),[c1487, c6])).
% 0.85/1.04 # SZS output end CNFRefutation
% 0.85/1.04
% 0.85/1.04 # Initial clauses : 18
% 0.85/1.04 # Processed clauses : 125
% 0.85/1.04 # Factors computed : 88
% 0.85/1.04 # Resolvents computed: 1388
% 0.85/1.04 # Tautologies deleted: 0
% 0.85/1.04 # Forward subsumed : 220
% 0.85/1.04 # Backward subsumed : 17
% 0.85/1.04 # -------- CPU Time ---------
% 0.85/1.04 # User time : 0.685 s
% 0.85/1.04 # System time : 0.016 s
% 0.85/1.04 # Total time : 0.701 s
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