%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SEU167+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 : 300s
% DateTime : Thu May 9 17:40:45 EDT 2024
% Result : Theorem 0.36s 0.55s
% Output : Refutation 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU167+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n014.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 : 300
% 0.13/0.34 % DateTime : Wed May 8 10:58:52 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.36/0.55 % Version: 1.5
% 0.36/0.55 % SZS status Theorem
% 0.36/0.55 % SZS output start CNFRefutation
% 0.36/0.55 fof(t119_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(![D]:((subset(A,B)&subset(C,D))=>subset(cartesian_product2(A,C),cartesian_product2(B,D))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t119_zfmisc_1)).
% 0.36/0.55 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])).
% 0.36/0.55 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])).
% 0.36/0.55 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])).
% 0.36/0.55 fof(c6,negated_conjecture,((subset(skolem0001,skolem0002)&subset(skolem0003,skolem0004))&~subset(cartesian_product2(skolem0001,skolem0003),cartesian_product2(skolem0002,skolem0004))),inference(skolemize,[status(esa)],[c5])).
% 0.36/0.55 cnf(c9,negated_conjecture,~subset(cartesian_product2(skolem0001,skolem0003),cartesian_product2(skolem0002,skolem0004)),inference(split_conjunct,[status(thm)],[c6])).
% 0.36/0.55 fof(t1_xboole_1,axiom,(![A]:(![B]:(![C]:((subset(A,B)&subset(B,C))=>subset(A,C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t1_xboole_1)).
% 0.36/0.55 fof(c0,plain,(![A]:(![B]:(![C]:((~subset(A,B)|~subset(B,C))|subset(A,C))))),inference(fof_nnf,[status(thm)],[t1_xboole_1])).
% 0.36/0.55 fof(c1,plain,(![X2]:(![X3]:(![X4]:((~subset(X2,X3)|~subset(X3,X4))|subset(X2,X4))))),inference(variable_rename,[status(thm)],[c0])).
% 0.36/0.55 cnf(c2,plain,~subset(X17,X15)|~subset(X15,X16)|subset(X17,X16),inference(split_conjunct,[status(thm)],[c1])).
% 0.36/0.55 cnf(c7,negated_conjecture,subset(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c6])).
% 0.36/0.55 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))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t118_zfmisc_1)).
% 0.36/0.55 fof(c10,plain,(![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])).
% 0.36/0.55 fof(c11,plain,(![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])).
% 0.36/0.55 fof(c13,plain,(![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,plain,(![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])).])).
% 0.36/0.55 fof(c14,plain,(![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])).
% 0.36/0.55 cnf(c15,plain,~subset(X24,X23)|subset(cartesian_product2(X24,X25),cartesian_product2(X23,X25)),inference(split_conjunct,[status(thm)],[c14])).
% 0.36/0.55 cnf(c27,plain,subset(cartesian_product2(skolem0001,X28),cartesian_product2(skolem0002,X28)),inference(resolution,[status(thm)],[c15, c7])).
% 0.36/0.55 cnf(c30,plain,~subset(X33,cartesian_product2(skolem0001,X34))|subset(X33,cartesian_product2(skolem0002,X34)),inference(resolution,[status(thm)],[c27, c2])).
% 0.36/0.55 cnf(c8,negated_conjecture,subset(skolem0003,skolem0004),inference(split_conjunct,[status(thm)],[c6])).
% 0.36/0.55 cnf(c16,plain,~subset(X32,X30)|subset(cartesian_product2(X31,X32),cartesian_product2(X31,X30)),inference(split_conjunct,[status(thm)],[c14])).
% 0.36/0.55 cnf(c36,plain,subset(cartesian_product2(X38,skolem0003),cartesian_product2(X38,skolem0004)),inference(resolution,[status(thm)],[c16, c8])).
% 0.36/0.55 cnf(c45,plain,subset(cartesian_product2(skolem0001,skolem0003),cartesian_product2(skolem0002,skolem0004)),inference(resolution,[status(thm)],[c36, c30])).
% 0.36/0.55 cnf(c56,plain,$false,inference(resolution,[status(thm)],[c45, c9])).
% 0.36/0.55 % SZS output end CNFRefutation
% 0.36/0.55
% 0.36/0.55 % Initial clauses : 8
% 0.36/0.55 % Processed clauses : 18
% 0.36/0.55 % Factors computed : 1
% 0.36/0.55 % Resolvents computed: 36
% 0.36/0.55 % Tautologies deleted: 2
% 0.36/0.55 % Forward subsumed : 5
% 0.36/0.55 % Backward subsumed : 0
% 0.36/0.55 % -------- CPU Time ---------
% 0.36/0.55 % User time : 0.174 s
% 0.36/0.55 % System time : 0.019 s
% 0.36/0.55 % Total time : 0.193 s
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