TSTP Solution File: GEO176+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO176+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 05:58:53 EDT 2022
% Result : Theorem 0.79s 1.00s
% Output : Refutation 0.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO176+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 11:05:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.79/1.00 # Version: 1.3
% 0.79/1.00 # SZS status Theorem
% 0.79/1.00 # SZS output start CNFRefutation
% 0.79/1.00 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).
% 0.79/1.00 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])).
% 0.79/1.00 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_nnf,status(thm),[c0])).
% 0.79/1.00 fof(c2,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),[c1])).
% 0.79/1.00 fof(c3,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),[c2])).
% 0.79/1.00 cnf(c5,negated_conjecture,convergent_lines(skolem0003,skolem0004),inference(split_conjunct,status(thm),[c3])).
% 0.79/1.00 fof(ci4,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>(~apart_point_and_line(intersection_point(X,Y),Y))))),input).
% 0.79/1.00 fof(c26,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>~apart_point_and_line(intersection_point(X,Y),Y)))),inference(fof_simplification,status(thm),[ci4])).
% 0.79/1.00 fof(c27,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),Y)))),inference(fof_nnf,status(thm),[c26])).
% 0.79/1.00 fof(c28,axiom,(![X19]:(![X20]:(~convergent_lines(X19,X20)|~apart_point_and_line(intersection_point(X19,X20),X20)))),inference(variable_rename,status(thm),[c27])).
% 0.79/1.00 cnf(c29,axiom,~convergent_lines(X42,X43)|~apart_point_and_line(intersection_point(X42,X43),X43),inference(split_conjunct,status(thm),[c28])).
% 0.79/1.00 cnf(c7,negated_conjecture,~distinct_points(skolem0001,intersection_point(skolem0003,skolem0004)),inference(split_conjunct,status(thm),[c3])).
% 0.79/1.00 fof(ceq1,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_points(X,Z)|apart_point_and_line(Z,Y)))))),input).
% 0.79/1.00 fof(c18,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])).
% 0.79/1.00 fof(c19,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),[c18])).
% 0.79/1.00 fof(c21,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(c20,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),[c19])).])).
% 0.79/1.00 cnf(c22,axiom,~apart_point_and_line(X59,X58)|distinct_points(X59,X57)|apart_point_and_line(X57,X58),inference(split_conjunct,status(thm),[c21])).
% 0.79/1.00 fof(ci3,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>(~apart_point_and_line(intersection_point(X,Y),X))))),input).
% 0.79/1.00 fof(c30,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>~apart_point_and_line(intersection_point(X,Y),X)))),inference(fof_simplification,status(thm),[ci3])).
% 0.79/1.00 fof(c31,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X)))),inference(fof_nnf,status(thm),[c30])).
% 0.79/1.00 fof(c32,axiom,(![X21]:(![X22]:(~convergent_lines(X21,X22)|~apart_point_and_line(intersection_point(X21,X22),X21)))),inference(variable_rename,status(thm),[c31])).
% 0.79/1.00 cnf(c33,axiom,~convergent_lines(X45,X44)|~apart_point_and_line(intersection_point(X45,X44),X45),inference(split_conjunct,status(thm),[c32])).
% 0.79/1.00 cnf(c6,negated_conjecture,apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0001,skolem0004),inference(split_conjunct,status(thm),[c3])).
% 0.79/1.00 cnf(c72,plain,distinct_points(skolem0001,X90)|apart_point_and_line(X90,skolem0003)|apart_point_and_line(skolem0001,skolem0004),inference(resolution,status(thm),[c22, c6])).
% 0.79/1.00 cnf(c163,plain,apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0003)|apart_point_and_line(skolem0001,skolem0004),inference(resolution,status(thm),[c72, c7])).
% 0.79/1.00 cnf(c1409,plain,apart_point_and_line(skolem0001,skolem0004)|~convergent_lines(skolem0003,skolem0004),inference(resolution,status(thm),[c163, c33])).
% 0.79/1.00 cnf(c1527,plain,apart_point_and_line(skolem0001,skolem0004),inference(resolution,status(thm),[c1409, c5])).
% 0.79/1.00 cnf(c1528,plain,distinct_points(skolem0001,X441)|apart_point_and_line(X441,skolem0004),inference(resolution,status(thm),[c1527, c22])).
% 0.79/1.00 cnf(c1537,plain,apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0004),inference(resolution,status(thm),[c1528, c7])).
% 0.79/1.00 cnf(c1558,plain,~convergent_lines(skolem0003,skolem0004),inference(resolution,status(thm),[c1537, c29])).
% 0.79/1.00 cnf(c1612,plain,$false,inference(resolution,status(thm),[c1558, c5])).
% 0.79/1.00 # SZS output end CNFRefutation
% 0.79/1.00
% 0.79/1.00 # Initial clauses : 18
% 0.79/1.00 # Processed clauses : 127
% 0.79/1.00 # Factors computed : 89
% 0.79/1.00 # Resolvents computed: 1458
% 0.79/1.00 # Tautologies deleted: 0
% 0.79/1.00 # Forward subsumed : 225
% 0.79/1.00 # Backward subsumed : 18
% 0.79/1.00 # -------- CPU Time ---------
% 0.79/1.00 # User time : 0.640 s
% 0.79/1.00 # System time : 0.014 s
% 0.79/1.00 # Total time : 0.654 s
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