TSTP Solution File: GEO225+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO225+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 05:59:32 EDT 2022
% Result : Theorem 0.44s 0.63s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO225+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 10:40:03 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.44/0.63 # Version: 1.3
% 0.44/0.63 # SZS status Theorem
% 0.44/0.63 # SZS output start CNFRefutation
% 0.44/0.63 fof(con,conjecture,(![A]:(![B]:(((point(A)&point(B))&distinct_points(A,B))=>(?[X]:(line(X)=>(incident_point_and_line(A,X)&incident_point_and_line(B,X))))))),input).
% 0.44/0.63 fof(c0,negated_conjecture,(~(![A]:(![B]:(((point(A)&point(B))&distinct_points(A,B))=>(?[X]:(line(X)=>(incident_point_and_line(A,X)&incident_point_and_line(B,X)))))))),inference(assume_negation,status(cth),[con])).
% 0.44/0.63 fof(c1,negated_conjecture,(?[A]:(?[B]:(((point(A)&point(B))&distinct_points(A,B))&(![X]:(line(X)&(~incident_point_and_line(A,X)|~incident_point_and_line(B,X))))))),inference(fof_nnf,status(thm),[c0])).
% 0.44/0.63 fof(c2,negated_conjecture,(?[A]:(?[B]:(((point(A)&point(B))&distinct_points(A,B))&((![X]:line(X))&(![X]:(~incident_point_and_line(A,X)|~incident_point_and_line(B,X))))))),inference(shift_quantors,status(thm),[c1])).
% 0.44/0.63 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(((point(X2)&point(X3))&distinct_points(X2,X3))&((![X4]:line(X4))&(![X5]:(~incident_point_and_line(X2,X5)|~incident_point_and_line(X3,X5))))))),inference(variable_rename,status(thm),[c2])).
% 0.44/0.63 fof(c5,negated_conjecture,(![X4]:(![X5]:(((point(skolem0001)&point(skolem0002))&distinct_points(skolem0001,skolem0002))&(line(X4)&(~incident_point_and_line(skolem0001,X5)|~incident_point_and_line(skolem0002,X5)))))),inference(shift_quantors,status(thm),[fof(c4,negated_conjecture,(((point(skolem0001)&point(skolem0002))&distinct_points(skolem0001,skolem0002))&((![X4]:line(X4))&(![X5]:(~incident_point_and_line(skolem0001,X5)|~incident_point_and_line(skolem0002,X5))))),inference(skolemize,status(esa),[c3])).])).
% 0.44/0.63 cnf(c8,negated_conjecture,distinct_points(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c5])).
% 0.44/0.63 fof(ci1,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(X,line_connecting(X,Y)))))),input).
% 0.44/0.63 fof(c138,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_simplification,status(thm),[ci1])).
% 0.44/0.63 fof(c139,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_nnf,status(thm),[c138])).
% 0.44/0.63 fof(c140,axiom,(![X83]:(![X84]:(~distinct_points(X83,X84)|~apart_point_and_line(X83,line_connecting(X83,X84))))),inference(variable_rename,status(thm),[c139])).
% 0.44/0.63 cnf(c141,axiom,~distinct_points(X267,X266)|~apart_point_and_line(X267,line_connecting(X267,X266)),inference(split_conjunct,status(thm),[c140])).
% 0.44/0.63 fof(a4,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>(~apart_point_and_line(X,Y))))),input).
% 0.44/0.63 fof(c18,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,status(thm),[a4])).
% 0.44/0.63 fof(c19,axiom,(![X]:(![Y]:((~incident_point_and_line(X,Y)|~apart_point_and_line(X,Y))&(apart_point_and_line(X,Y)|incident_point_and_line(X,Y))))),inference(fof_nnf,status(thm),[c18])).
% 0.44/0.63 fof(c20,axiom,((![X]:(![Y]:(~incident_point_and_line(X,Y)|~apart_point_and_line(X,Y))))&(![X]:(![Y]:(apart_point_and_line(X,Y)|incident_point_and_line(X,Y))))),inference(shift_quantors,status(thm),[c19])).
% 0.44/0.63 fof(c22,axiom,(![X10]:(![X11]:(![X12]:(![X13]:((~incident_point_and_line(X10,X11)|~apart_point_and_line(X10,X11))&(apart_point_and_line(X12,X13)|incident_point_and_line(X12,X13))))))),inference(shift_quantors,status(thm),[fof(c21,axiom,((![X10]:(![X11]:(~incident_point_and_line(X10,X11)|~apart_point_and_line(X10,X11))))&(![X12]:(![X13]:(apart_point_and_line(X12,X13)|incident_point_and_line(X12,X13))))),inference(variable_rename,status(thm),[c20])).])).
% 0.44/0.63 cnf(c23,axiom,~incident_point_and_line(X116,X117)|~apart_point_and_line(X116,X117),inference(split_conjunct,status(thm),[c22])).
% 0.44/0.63 cnf(c24,axiom,apart_point_and_line(X119,X118)|incident_point_and_line(X119,X118),inference(split_conjunct,status(thm),[c22])).
% 0.44/0.63 cnf(c10,negated_conjecture,~incident_point_and_line(skolem0001,X109)|~incident_point_and_line(skolem0002,X109),inference(split_conjunct,status(thm),[c5])).
% 0.44/0.63 cnf(c171,plain,apart_point_and_line(skolem0002,X228)|~incident_point_and_line(skolem0001,X228),inference(resolution,status(thm),[c24, c10])).
% 0.44/0.63 cnf(c231,plain,apart_point_and_line(skolem0002,X239)|apart_point_and_line(skolem0001,X239),inference(resolution,status(thm),[c171, c24])).
% 0.44/0.63 cnf(c240,plain,apart_point_and_line(skolem0001,X249)|~incident_point_and_line(skolem0002,X249),inference(resolution,status(thm),[c231, c23])).
% 0.44/0.63 fof(ci2,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(Y,line_connecting(X,Y)))))),input).
% 0.44/0.63 fof(c134,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_simplification,status(thm),[ci2])).
% 0.44/0.63 fof(c135,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_nnf,status(thm),[c134])).
% 0.44/0.63 fof(c136,axiom,(![X81]:(![X82]:(~distinct_points(X81,X82)|~apart_point_and_line(X82,line_connecting(X81,X82))))),inference(variable_rename,status(thm),[c135])).
% 0.44/0.63 cnf(c137,axiom,~distinct_points(X264,X265)|~apart_point_and_line(X265,line_connecting(X264,X265)),inference(split_conjunct,status(thm),[c136])).
% 0.44/0.63 cnf(c261,plain,~distinct_points(X304,X303)|incident_point_and_line(X303,line_connecting(X304,X303)),inference(resolution,status(thm),[c137, c24])).
% 0.44/0.63 cnf(c315,plain,incident_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002)),inference(resolution,status(thm),[c261, c8])).
% 0.44/0.63 cnf(c318,plain,apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002)),inference(resolution,status(thm),[c315, c240])).
% 0.44/0.63 cnf(c324,plain,~distinct_points(skolem0001,skolem0002),inference(resolution,status(thm),[c318, c141])).
% 0.44/0.63 cnf(c326,plain,$false,inference(resolution,status(thm),[c324, c8])).
% 0.44/0.63 # SZS output end CNFRefutation
% 0.44/0.63
% 0.44/0.63 # Initial clauses : 51
% 0.44/0.63 # Processed clauses : 82
% 0.44/0.63 # Factors computed : 0
% 0.44/0.63 # Resolvents computed: 162
% 0.44/0.63 # Tautologies deleted: 5
% 0.44/0.63 # Forward subsumed : 36
% 0.44/0.63 # Backward subsumed : 0
% 0.44/0.63 # -------- CPU Time ---------
% 0.44/0.63 # User time : 0.259 s
% 0.44/0.63 # System time : 0.017 s
% 0.44/0.63 # Total time : 0.275 s
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