TSTP Solution File: GEO225+2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO225+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 0.45s 0.64s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO225+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n019.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
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 21:10:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.45/0.64 # Version: 1.3
% 0.45/0.64 # SZS status Theorem
% 0.45/0.64 # SZS output start CNFRefutation
% 0.45/0.64 fof(apart1,axiom,(![X]:(~distinct_points(X,X))),input).
% 0.45/0.64 fof(c75,axiom,(![X]:~distinct_points(X,X)),inference(fof_simplification,status(thm),[apart1])).
% 0.45/0.64 fof(c76,axiom,(![X43]:~distinct_points(X43,X43)),inference(variable_rename,status(thm),[c75])).
% 0.45/0.64 cnf(c77,axiom,~distinct_points(X47,X47),inference(split_conjunct,status(thm),[c76])).
% 0.45/0.64 fof(con,conjecture,(![A]:(![B]:(((point(A)&point(B))&distinct_points(A,B))=>(?[X]:(line(X)=>((~apart_point_and_line(A,X))&(~apart_point_and_line(B,X)))))))),input).
% 0.45/0.64 fof(c0,negated_conjecture,(~(![A]:(![B]:(((point(A)&point(B))&distinct_points(A,B))=>(?[X]:(line(X)=>((~apart_point_and_line(A,X))&(~apart_point_and_line(B,X))))))))),inference(assume_negation,status(cth),[con])).
% 0.45/0.64 fof(c1,negated_conjecture,(~(![A]:(![B]:(((point(A)&point(B))&distinct_points(A,B))=>(?[X]:(line(X)=>(~apart_point_and_line(A,X)&~apart_point_and_line(B,X)))))))),inference(fof_simplification,status(thm),[c0])).
% 0.45/0.64 fof(c2,negated_conjecture,(?[A]:(?[B]:(((point(A)&point(B))&distinct_points(A,B))&(![X]:(line(X)&(apart_point_and_line(A,X)|apart_point_and_line(B,X))))))),inference(fof_nnf,status(thm),[c1])).
% 0.45/0.64 fof(c3,negated_conjecture,(?[A]:(?[B]:(((point(A)&point(B))&distinct_points(A,B))&((![X]:line(X))&(![X]:(apart_point_and_line(A,X)|apart_point_and_line(B,X))))))),inference(shift_quantors,status(thm),[c2])).
% 0.45/0.64 fof(c4,negated_conjecture,(?[X2]:(?[X3]:(((point(X2)&point(X3))&distinct_points(X2,X3))&((![X4]:line(X4))&(![X5]:(apart_point_and_line(X2,X5)|apart_point_and_line(X3,X5))))))),inference(variable_rename,status(thm),[c3])).
% 0.45/0.64 fof(c6,negated_conjecture,(![X4]:(![X5]:(((point(skolem0001)&point(skolem0002))&distinct_points(skolem0001,skolem0002))&(line(X4)&(apart_point_and_line(skolem0001,X5)|apart_point_and_line(skolem0002,X5)))))),inference(shift_quantors,status(thm),[fof(c5,negated_conjecture,(((point(skolem0001)&point(skolem0002))&distinct_points(skolem0001,skolem0002))&((![X4]:line(X4))&(![X5]:(apart_point_and_line(skolem0001,X5)|apart_point_and_line(skolem0002,X5))))),inference(skolemize,status(esa),[c4])).])).
% 0.45/0.64 cnf(c9,negated_conjecture,distinct_points(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c6])).
% 0.45/0.64 fof(apart4,axiom,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(distinct_points(X,Z)|distinct_points(Y,Z)))))),input).
% 0.45/0.64 fof(c64,axiom,(![X]:(![Y]:(![Z]:(~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(fof_nnf,status(thm),[apart4])).
% 0.45/0.64 fof(c65,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|(![Z]:(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(shift_quantors,status(thm),[c64])).
% 0.45/0.64 fof(c67,axiom,(![X38]:(![X39]:(![X40]:(~distinct_points(X38,X39)|(distinct_points(X38,X40)|distinct_points(X39,X40)))))),inference(shift_quantors,status(thm),[fof(c66,axiom,(![X38]:(![X39]:(~distinct_points(X38,X39)|(![X40]:(distinct_points(X38,X40)|distinct_points(X39,X40)))))),inference(variable_rename,status(thm),[c65])).])).
% 0.45/0.64 cnf(c68,axiom,~distinct_points(X70,X71)|distinct_points(X70,X69)|distinct_points(X71,X69),inference(split_conjunct,status(thm),[c67])).
% 0.45/0.64 cnf(c82,plain,distinct_points(skolem0001,X74)|distinct_points(skolem0002,X74),inference(resolution,status(thm),[c68, c9])).
% 0.45/0.64 cnf(c84,plain,distinct_points(skolem0002,skolem0001),inference(resolution,status(thm),[c82, c77])).
% 0.45/0.64 fof(con1,axiom,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(apart_point_and_line(Z,line_connecting(X,Y))=>(distinct_points(Z,X)&distinct_points(Z,Y))))))),input).
% 0.45/0.64 fof(c47,axiom,(![X]:(![Y]:(![Z]:(~distinct_points(X,Y)|(~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y))))))),inference(fof_nnf,status(thm),[con1])).
% 0.45/0.64 fof(c48,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|(![Z]:(~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y))))))),inference(shift_quantors,status(thm),[c47])).
% 0.45/0.64 fof(c50,axiom,(![X29]:(![X30]:(![X31]:(~distinct_points(X29,X30)|(~apart_point_and_line(X31,line_connecting(X29,X30))|(distinct_points(X31,X29)&distinct_points(X31,X30))))))),inference(shift_quantors,status(thm),[fof(c49,axiom,(![X29]:(![X30]:(~distinct_points(X29,X30)|(![X31]:(~apart_point_and_line(X31,line_connecting(X29,X30))|(distinct_points(X31,X29)&distinct_points(X31,X30))))))),inference(variable_rename,status(thm),[c48])).])).
% 0.45/0.64 fof(c51,axiom,(![X29]:(![X30]:(![X31]:((~distinct_points(X29,X30)|(~apart_point_and_line(X31,line_connecting(X29,X30))|distinct_points(X31,X29)))&(~distinct_points(X29,X30)|(~apart_point_and_line(X31,line_connecting(X29,X30))|distinct_points(X31,X30))))))),inference(distribute,status(thm),[c50])).
% 0.45/0.64 cnf(c53,axiom,~distinct_points(X113,X114)|~apart_point_and_line(X115,line_connecting(X113,X114))|distinct_points(X115,X114),inference(split_conjunct,status(thm),[c51])).
% 0.45/0.64 cnf(c83,plain,distinct_points(skolem0002,X98)|distinct_points(skolem0001,X97)|distinct_points(X98,X97),inference(resolution,status(thm),[c82, c68])).
% 0.45/0.64 cnf(c131,plain,distinct_points(skolem0002,X103)|distinct_points(X103,skolem0001),inference(resolution,status(thm),[c83, c77])).
% 0.45/0.64 cnf(c11,negated_conjecture,apart_point_and_line(skolem0001,X50)|apart_point_and_line(skolem0002,X50),inference(split_conjunct,status(thm),[c6])).
% 0.45/0.64 cnf(c52,axiom,~distinct_points(X105,X106)|~apart_point_and_line(X107,line_connecting(X105,X106))|distinct_points(X107,X105),inference(split_conjunct,status(thm),[c51])).
% 0.45/0.64 cnf(c151,plain,~distinct_points(X201,X202)|distinct_points(skolem0002,X201)|apart_point_and_line(skolem0001,line_connecting(X201,X202)),inference(resolution,status(thm),[c52, c11])).
% 0.45/0.64 cnf(c323,plain,distinct_points(skolem0002,X206)|apart_point_and_line(skolem0001,line_connecting(X206,skolem0001)),inference(resolution,status(thm),[c151, c131])).
% 0.45/0.64 cnf(c370,plain,apart_point_and_line(skolem0001,line_connecting(skolem0002,skolem0001)),inference(resolution,status(thm),[c323, c77])).
% 0.45/0.64 cnf(c381,plain,~distinct_points(skolem0002,skolem0001)|distinct_points(skolem0001,skolem0001),inference(resolution,status(thm),[c370, c53])).
% 0.45/0.64 cnf(c383,plain,distinct_points(skolem0001,skolem0001),inference(resolution,status(thm),[c381, c84])).
% 0.45/0.64 cnf(c402,plain,$false,inference(resolution,status(thm),[c383, c77])).
% 0.45/0.64 # SZS output end CNFRefutation
% 0.45/0.64
% 0.45/0.64 # Initial clauses : 23
% 0.45/0.64 # Processed clauses : 50
% 0.45/0.64 # Factors computed : 19
% 0.45/0.64 # Resolvents computed: 325
% 0.45/0.64 # Tautologies deleted: 0
% 0.45/0.64 # Forward subsumed : 58
% 0.45/0.64 # Backward subsumed : 1
% 0.45/0.64 # -------- CPU Time ---------
% 0.45/0.64 # User time : 0.277 s
% 0.45/0.64 # System time : 0.014 s
% 0.45/0.64 # Total time : 0.291 s
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