TSTP Solution File: SEU167+3 by PyRes---1.3
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- Process Solution
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% File : PyRes---1.3
% Problem : SEU167+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 13:36:08 EDT 2022
% Result : Theorem 0.35s 0.54s
% Output : Refutation 0.35s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU167+3 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n003.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 : Sun Jun 19 07:10:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.35/0.54 # Version: 1.3
% 0.35/0.54 # SZS status Theorem
% 0.35/0.54 # SZS output start CNFRefutation
% 0.35/0.54 fof(t119_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(![D]:((subset(A,B)&subset(C,D))=>subset(cartesian_product2(A,C),cartesian_product2(B,D))))))),input).
% 0.35/0.54 fof(c3,negated_conjecture,(~(![A]:(![B]:(![C]:(![D]:((subset(A,B)&subset(C,D))=>subset(cartesian_product2(A,C),cartesian_product2(B,D)))))))),inference(assume_negation,status(cth),[t119_zfmisc_1])).
% 0.35/0.54 fof(c4,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:((subset(A,B)&subset(C,D))&~subset(cartesian_product2(A,C),cartesian_product2(B,D))))))),inference(fof_nnf,status(thm),[c3])).
% 0.35/0.54 fof(c5,negated_conjecture,(?[X5]:(?[X6]:(?[X7]:(?[X8]:((subset(X5,X6)&subset(X7,X8))&~subset(cartesian_product2(X5,X7),cartesian_product2(X6,X8))))))),inference(variable_rename,status(thm),[c4])).
% 0.35/0.54 fof(c6,negated_conjecture,((subset(skolem0001,skolem0002)&subset(skolem0003,skolem0004))&~subset(cartesian_product2(skolem0001,skolem0003),cartesian_product2(skolem0002,skolem0004))),inference(skolemize,status(esa),[c5])).
% 0.35/0.54 cnf(c9,negated_conjecture,~subset(cartesian_product2(skolem0001,skolem0003),cartesian_product2(skolem0002,skolem0004)),inference(split_conjunct,status(thm),[c6])).
% 0.35/0.54 cnf(c8,negated_conjecture,subset(skolem0003,skolem0004),inference(split_conjunct,status(thm),[c6])).
% 0.35/0.54 fof(t118_zfmisc_1,axiom,(![A]:(![B]:(![C]:(subset(A,B)=>(subset(cartesian_product2(A,C),cartesian_product2(B,C))&subset(cartesian_product2(C,A),cartesian_product2(C,B))))))),input).
% 0.35/0.54 fof(c10,axiom,(![A]:(![B]:(![C]:(~subset(A,B)|(subset(cartesian_product2(A,C),cartesian_product2(B,C))&subset(cartesian_product2(C,A),cartesian_product2(C,B))))))),inference(fof_nnf,status(thm),[t118_zfmisc_1])).
% 0.35/0.54 fof(c11,axiom,(![A]:(![B]:(~subset(A,B)|((![C]:subset(cartesian_product2(A,C),cartesian_product2(B,C)))&(![C]:subset(cartesian_product2(C,A),cartesian_product2(C,B))))))),inference(shift_quantors,status(thm),[c10])).
% 0.35/0.54 fof(c13,axiom,(![X9]:(![X10]:(![X11]:(![X12]:(~subset(X9,X10)|(subset(cartesian_product2(X9,X11),cartesian_product2(X10,X11))&subset(cartesian_product2(X12,X9),cartesian_product2(X12,X10)))))))),inference(shift_quantors,status(thm),[fof(c12,axiom,(![X9]:(![X10]:(~subset(X9,X10)|((![X11]:subset(cartesian_product2(X9,X11),cartesian_product2(X10,X11)))&(![X12]:subset(cartesian_product2(X12,X9),cartesian_product2(X12,X10))))))),inference(variable_rename,status(thm),[c11])).])).
% 0.35/0.54 fof(c14,axiom,(![X9]:(![X10]:(![X11]:(![X12]:((~subset(X9,X10)|subset(cartesian_product2(X9,X11),cartesian_product2(X10,X11)))&(~subset(X9,X10)|subset(cartesian_product2(X12,X9),cartesian_product2(X12,X10)))))))),inference(distribute,status(thm),[c13])).
% 0.35/0.54 cnf(c16,axiom,~subset(X32,X33)|subset(cartesian_product2(X31,X32),cartesian_product2(X31,X33)),inference(split_conjunct,status(thm),[c14])).
% 0.35/0.54 cnf(c42,plain,subset(cartesian_product2(X39,skolem0003),cartesian_product2(X39,skolem0004)),inference(resolution,status(thm),[c16, c8])).
% 0.35/0.54 fof(t1_xboole_1,axiom,(![A]:(![B]:(![C]:((subset(A,B)&subset(B,C))=>subset(A,C))))),input).
% 0.35/0.54 fof(c0,axiom,(![A]:(![B]:(![C]:((~subset(A,B)|~subset(B,C))|subset(A,C))))),inference(fof_nnf,status(thm),[t1_xboole_1])).
% 0.35/0.54 fof(c1,axiom,(![X2]:(![X3]:(![X4]:((~subset(X2,X3)|~subset(X3,X4))|subset(X2,X4))))),inference(variable_rename,status(thm),[c0])).
% 0.35/0.54 cnf(c2,axiom,~subset(X18,X17)|~subset(X17,X19)|subset(X18,X19),inference(split_conjunct,status(thm),[c1])).
% 0.35/0.54 cnf(c7,negated_conjecture,subset(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c6])).
% 0.35/0.54 cnf(c15,axiom,~subset(X25,X26)|subset(cartesian_product2(X25,X24),cartesian_product2(X26,X24)),inference(split_conjunct,status(thm),[c14])).
% 0.35/0.54 cnf(c34,plain,subset(cartesian_product2(skolem0001,X30),cartesian_product2(skolem0002,X30)),inference(resolution,status(thm),[c15, c7])).
% 0.35/0.54 cnf(c38,plain,~subset(X46,cartesian_product2(skolem0001,X45))|subset(X46,cartesian_product2(skolem0002,X45)),inference(resolution,status(thm),[c34, c2])).
% 0.35/0.54 cnf(c65,plain,subset(cartesian_product2(skolem0001,skolem0003),cartesian_product2(skolem0002,skolem0004)),inference(resolution,status(thm),[c38, c42])).
% 0.35/0.54 cnf(c71,plain,$false,inference(resolution,status(thm),[c65, c9])).
% 0.35/0.54 # SZS output end CNFRefutation
% 0.35/0.54
% 0.35/0.54 # Initial clauses : 9
% 0.35/0.54 # Processed clauses : 23
% 0.35/0.54 # Factors computed : 0
% 0.35/0.54 # Resolvents computed: 50
% 0.35/0.54 # Tautologies deleted: 1
% 0.35/0.54 # Forward subsumed : 6
% 0.35/0.54 # Backward subsumed : 0
% 0.35/0.54 # -------- CPU Time ---------
% 0.35/0.54 # User time : 0.173 s
% 0.35/0.54 # System time : 0.009 s
% 0.35/0.54 # Total time : 0.182 s
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