TSTP Solution File: SEU165+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU165+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 : Tue Jul 19 13:36:07 EDT 2022
% Result : Theorem 0.41s 0.58s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU165+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n026.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 : Mon Jun 20 07:49:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.41/0.58 # Version: 1.3
% 0.41/0.58 # SZS status Theorem
% 0.41/0.58 # SZS output start CNFRefutation
% 0.41/0.58 fof(l55_zfmisc_1,axiom,(![A]:(![B]:(![C]:(![D]:(in(ordered_pair(A,B),cartesian_product2(C,D))<=>(in(A,C)&in(B,D))))))),input).
% 0.41/0.58 fof(c6,axiom,(![A]:(![B]:(![C]:(![D]:((~in(ordered_pair(A,B),cartesian_product2(C,D))|(in(A,C)&in(B,D)))&((~in(A,C)|~in(B,D))|in(ordered_pair(A,B),cartesian_product2(C,D)))))))),inference(fof_nnf,status(thm),[l55_zfmisc_1])).
% 0.41/0.58 fof(c7,axiom,((![A]:(![B]:(![C]:(![D]:(~in(ordered_pair(A,B),cartesian_product2(C,D))|(in(A,C)&in(B,D)))))))&(![A]:(![B]:(![C]:(![D]:((~in(A,C)|~in(B,D))|in(ordered_pair(A,B),cartesian_product2(C,D)))))))),inference(shift_quantors,status(thm),[c6])).
% 0.41/0.58 fof(c9,axiom,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:((~in(ordered_pair(X2,X3),cartesian_product2(X4,X5))|(in(X2,X4)&in(X3,X5)))&((~in(X6,X8)|~in(X7,X9))|in(ordered_pair(X6,X7),cartesian_product2(X8,X9)))))))))))),inference(shift_quantors,status(thm),[fof(c8,axiom,((![X2]:(![X3]:(![X4]:(![X5]:(~in(ordered_pair(X2,X3),cartesian_product2(X4,X5))|(in(X2,X4)&in(X3,X5)))))))&(![X6]:(![X7]:(![X8]:(![X9]:((~in(X6,X8)|~in(X7,X9))|in(ordered_pair(X6,X7),cartesian_product2(X8,X9)))))))),inference(variable_rename,status(thm),[c7])).])).
% 0.41/0.58 fof(c10,axiom,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:(((~in(ordered_pair(X2,X3),cartesian_product2(X4,X5))|in(X2,X4))&(~in(ordered_pair(X2,X3),cartesian_product2(X4,X5))|in(X3,X5)))&((~in(X6,X8)|~in(X7,X9))|in(ordered_pair(X6,X7),cartesian_product2(X8,X9)))))))))))),inference(distribute,status(thm),[c9])).
% 0.41/0.58 cnf(c11,axiom,~in(ordered_pair(X58,X60),cartesian_product2(X57,X59))|in(X58,X57),inference(split_conjunct,status(thm),[c10])).
% 0.41/0.58 fof(t106_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(![D]:(in(ordered_pair(A,B),cartesian_product2(C,D))<=>(in(A,C)&in(B,D))))))),input).
% 0.41/0.58 fof(c14,negated_conjecture,(~(![A]:(![B]:(![C]:(![D]:(in(ordered_pair(A,B),cartesian_product2(C,D))<=>(in(A,C)&in(B,D)))))))),inference(assume_negation,status(cth),[t106_zfmisc_1])).
% 0.41/0.58 fof(c15,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:((~in(ordered_pair(A,B),cartesian_product2(C,D))|(~in(A,C)|~in(B,D)))&(in(ordered_pair(A,B),cartesian_product2(C,D))|(in(A,C)&in(B,D)))))))),inference(fof_nnf,status(thm),[c14])).
% 0.41/0.58 fof(c16,negated_conjecture,(?[X10]:(?[X11]:(?[X12]:(?[X13]:((~in(ordered_pair(X10,X11),cartesian_product2(X12,X13))|(~in(X10,X12)|~in(X11,X13)))&(in(ordered_pair(X10,X11),cartesian_product2(X12,X13))|(in(X10,X12)&in(X11,X13)))))))),inference(variable_rename,status(thm),[c15])).
% 0.41/0.58 fof(c17,negated_conjecture,((~in(ordered_pair(skolem0001,skolem0002),cartesian_product2(skolem0003,skolem0004))|(~in(skolem0001,skolem0003)|~in(skolem0002,skolem0004)))&(in(ordered_pair(skolem0001,skolem0002),cartesian_product2(skolem0003,skolem0004))|(in(skolem0001,skolem0003)&in(skolem0002,skolem0004)))),inference(skolemize,status(esa),[c16])).
% 0.41/0.58 fof(c18,negated_conjecture,((~in(ordered_pair(skolem0001,skolem0002),cartesian_product2(skolem0003,skolem0004))|(~in(skolem0001,skolem0003)|~in(skolem0002,skolem0004)))&((in(ordered_pair(skolem0001,skolem0002),cartesian_product2(skolem0003,skolem0004))|in(skolem0001,skolem0003))&(in(ordered_pair(skolem0001,skolem0002),cartesian_product2(skolem0003,skolem0004))|in(skolem0002,skolem0004)))),inference(distribute,status(thm),[c17])).
% 0.41/0.58 cnf(c20,negated_conjecture,in(ordered_pair(skolem0001,skolem0002),cartesian_product2(skolem0003,skolem0004))|in(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c18])).
% 0.41/0.58 cnf(c149,plain,in(skolem0001,skolem0003),inference(resolution,status(thm),[c20, c11])).
% 0.41/0.58 cnf(c12,axiom,~in(ordered_pair(X62,X64),cartesian_product2(X61,X63))|in(X64,X63),inference(split_conjunct,status(thm),[c10])).
% 0.41/0.58 cnf(c21,negated_conjecture,in(ordered_pair(skolem0001,skolem0002),cartesian_product2(skolem0003,skolem0004))|in(skolem0002,skolem0004),inference(split_conjunct,status(thm),[c18])).
% 0.41/0.58 cnf(c162,plain,in(skolem0002,skolem0004),inference(resolution,status(thm),[c21, c12])).
% 0.41/0.58 cnf(c19,negated_conjecture,~in(ordered_pair(skolem0001,skolem0002),cartesian_product2(skolem0003,skolem0004))|~in(skolem0001,skolem0003)|~in(skolem0002,skolem0004),inference(split_conjunct,status(thm),[c18])).
% 0.41/0.58 cnf(c13,axiom,~in(X105,X103)|~in(X106,X104)|in(ordered_pair(X105,X106),cartesian_product2(X103,X104)),inference(split_conjunct,status(thm),[c10])).
% 0.41/0.58 cnf(c170,plain,~in(X161,X160)|in(ordered_pair(X161,skolem0002),cartesian_product2(X160,skolem0004)),inference(resolution,status(thm),[c162, c13])).
% 0.41/0.58 cnf(c234,plain,in(ordered_pair(skolem0001,skolem0002),cartesian_product2(skolem0003,skolem0004)),inference(resolution,status(thm),[c170, c149])).
% 0.41/0.58 cnf(c260,plain,~in(skolem0001,skolem0003)|~in(skolem0002,skolem0004),inference(resolution,status(thm),[c234, c19])).
% 0.41/0.58 cnf(c272,plain,~in(skolem0001,skolem0003),inference(resolution,status(thm),[c260, c162])).
% 0.41/0.58 cnf(c273,plain,$false,inference(resolution,status(thm),[c272, c149])).
% 0.41/0.58 # SZS output end CNFRefutation
% 0.41/0.58
% 0.41/0.58 # Initial clauses : 21
% 0.41/0.58 # Processed clauses : 58
% 0.41/0.58 # Factors computed : 0
% 0.41/0.58 # Resolvents computed: 234
% 0.41/0.58 # Tautologies deleted: 2
% 0.41/0.58 # Forward subsumed : 27
% 0.41/0.58 # Backward subsumed : 4
% 0.41/0.58 # -------- CPU Time ---------
% 0.41/0.58 # User time : 0.224 s
% 0.41/0.58 # System time : 0.016 s
% 0.41/0.58 # Total time : 0.240 s
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