TSTP Solution File: SET954+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET954+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 04:41:34 EDT 2022
% Result : Theorem 0.41s 0.59s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET954+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 9 17:32:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.41/0.59 # Version: 1.3
% 0.41/0.59 # SZS status Theorem
% 0.41/0.59 # SZS output start CNFRefutation
% 0.41/0.59 fof(t107_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(![D]:(in(ordered_pair(A,B),cartesian_product2(C,D))=>in(ordered_pair(B,A),cartesian_product2(D,C))))))),input).
% 0.41/0.59 fof(c6,negated_conjecture,(~(![A]:(![B]:(![C]:(![D]:(in(ordered_pair(A,B),cartesian_product2(C,D))=>in(ordered_pair(B,A),cartesian_product2(D,C)))))))),inference(assume_negation,status(cth),[t107_zfmisc_1])).
% 0.41/0.59 fof(c7,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:(in(ordered_pair(A,B),cartesian_product2(C,D))&~in(ordered_pair(B,A),cartesian_product2(D,C))))))),inference(fof_nnf,status(thm),[c6])).
% 0.41/0.59 fof(c8,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(in(ordered_pair(X2,X3),cartesian_product2(X4,X5))&~in(ordered_pair(X3,X2),cartesian_product2(X5,X4))))))),inference(variable_rename,status(thm),[c7])).
% 0.41/0.59 fof(c9,negated_conjecture,(in(ordered_pair(skolem0001,skolem0002),cartesian_product2(skolem0003,skolem0004))&~in(ordered_pair(skolem0002,skolem0001),cartesian_product2(skolem0004,skolem0003))),inference(skolemize,status(esa),[c8])).
% 0.41/0.59 cnf(c11,negated_conjecture,~in(ordered_pair(skolem0002,skolem0001),cartesian_product2(skolem0004,skolem0003)),inference(split_conjunct,status(thm),[c9])).
% 0.41/0.59 cnf(c10,negated_conjecture,in(ordered_pair(skolem0001,skolem0002),cartesian_product2(skolem0003,skolem0004)),inference(split_conjunct,status(thm),[c9])).
% 0.41/0.59 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).
% 0.41/0.59 fof(c19,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])).
% 0.41/0.59 fof(c20,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),[c19])).
% 0.41/0.59 fof(c22,axiom,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:((~in(ordered_pair(X8,X9),cartesian_product2(X10,X11))|(in(X8,X10)&in(X9,X11)))&((~in(X12,X14)|~in(X13,X15))|in(ordered_pair(X12,X13),cartesian_product2(X14,X15)))))))))))),inference(shift_quantors,status(thm),[fof(c21,axiom,((![X8]:(![X9]:(![X10]:(![X11]:(~in(ordered_pair(X8,X9),cartesian_product2(X10,X11))|(in(X8,X10)&in(X9,X11)))))))&(![X12]:(![X13]:(![X14]:(![X15]:((~in(X12,X14)|~in(X13,X15))|in(ordered_pair(X12,X13),cartesian_product2(X14,X15)))))))),inference(variable_rename,status(thm),[c20])).])).
% 0.41/0.59 fof(c23,axiom,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(((~in(ordered_pair(X8,X9),cartesian_product2(X10,X11))|in(X8,X10))&(~in(ordered_pair(X8,X9),cartesian_product2(X10,X11))|in(X9,X11)))&((~in(X12,X14)|~in(X13,X15))|in(ordered_pair(X12,X13),cartesian_product2(X14,X15)))))))))))),inference(distribute,status(thm),[c22])).
% 0.41/0.59 cnf(c25,axiom,~in(ordered_pair(X68,X65),cartesian_product2(X66,X67))|in(X65,X67),inference(split_conjunct,status(thm),[c23])).
% 0.41/0.59 cnf(c55,plain,in(skolem0002,skolem0004),inference(resolution,status(thm),[c25, c10])).
% 0.41/0.59 cnf(c24,axiom,~in(ordered_pair(X60,X57),cartesian_product2(X58,X59))|in(X60,X58),inference(split_conjunct,status(thm),[c23])).
% 0.41/0.59 cnf(c51,plain,in(skolem0001,skolem0003),inference(resolution,status(thm),[c24, c10])).
% 0.41/0.59 cnf(c26,axiom,~in(X90,X92)|~in(X93,X91)|in(ordered_pair(X90,X93),cartesian_product2(X92,X91)),inference(split_conjunct,status(thm),[c23])).
% 0.41/0.59 cnf(c75,plain,~in(X143,X144)|in(ordered_pair(X143,skolem0001),cartesian_product2(X144,skolem0003)),inference(resolution,status(thm),[c26, c51])).
% 0.41/0.59 cnf(c177,plain,in(ordered_pair(skolem0002,skolem0001),cartesian_product2(skolem0004,skolem0003)),inference(resolution,status(thm),[c75, c55])).
% 0.41/0.59 cnf(c185,plain,$false,inference(resolution,status(thm),[c177, c11])).
% 0.41/0.59 # SZS output end CNFRefutation
% 0.41/0.59
% 0.41/0.59 # Initial clauses : 20
% 0.41/0.59 # Processed clauses : 48
% 0.41/0.59 # Factors computed : 0
% 0.41/0.59 # Resolvents computed: 154
% 0.41/0.59 # Tautologies deleted: 2
% 0.41/0.59 # Forward subsumed : 16
% 0.41/0.59 # Backward subsumed : 0
% 0.41/0.59 # -------- CPU Time ---------
% 0.41/0.59 # User time : 0.228 s
% 0.41/0.59 # System time : 0.014 s
% 0.41/0.59 # Total time : 0.242 s
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