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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : REL008+2 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art01.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 01:01:15 EST 2010

% Result   : Theorem 203.67s
% Output   : CNFRefutation 203.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   94 (  81 unt;   0 def)
%            Number of atoms       :  107 ( 104 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   38 (  25   ~;  11   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :  177 (   3 sgn  36   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
    file('/tmp/tmpGCPj3R/sel_REL008+2.p_4',converse_multiplicativity) ).

fof(2,axiom,
    ! [X1] : converse(converse(X1)) = X1,
    file('/tmp/tmpGCPj3R/sel_REL008+2.p_4',converse_idempotence) ).

fof(3,axiom,
    ! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
    file('/tmp/tmpGCPj3R/sel_REL008+2.p_4',composition_distributivity) ).

fof(4,axiom,
    ! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
    file('/tmp/tmpGCPj3R/sel_REL008+2.p_4',converse_additivity) ).

fof(5,axiom,
    ! [X1,X2] : join(X1,X2) = join(X2,X1),
    file('/tmp/tmpGCPj3R/sel_REL008+2.p_4',maddux1_join_commutativity) ).

fof(8,axiom,
    ! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
    file('/tmp/tmpGCPj3R/sel_REL008+2.p_4',maddux2_join_associativity) ).

fof(9,axiom,
    ! [X1,X2] : X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
    file('/tmp/tmpGCPj3R/sel_REL008+2.p_4',maddux3_a_kind_of_de_Morgan) ).

fof(10,conjecture,
    ! [X1,X2,X3] :
      ( join(join(composition(X1,join(X2,X3)),composition(X1,X2)),composition(X1,X3)) = join(composition(X1,X2),composition(X1,X3))
      & join(join(composition(X1,X2),composition(X1,X3)),composition(X1,join(X2,X3))) = composition(X1,join(X2,X3)) ),
    file('/tmp/tmpGCPj3R/sel_REL008+2.p_4',goals) ).

fof(11,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( join(join(composition(X1,join(X2,X3)),composition(X1,X2)),composition(X1,X3)) = join(composition(X1,X2),composition(X1,X3))
        & join(join(composition(X1,X2),composition(X1,X3)),composition(X1,join(X2,X3))) = composition(X1,join(X2,X3)) ),
    inference(assume_negation,[status(cth)],[10]) ).

fof(12,plain,
    ! [X3,X4] : converse(composition(X3,X4)) = composition(converse(X4),converse(X3)),
    inference(variable_rename,[status(thm)],[1]) ).

cnf(13,plain,
    converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
    inference(split_conjunct,[status(thm)],[12]) ).

fof(14,plain,
    ! [X2] : converse(converse(X2)) = X2,
    inference(variable_rename,[status(thm)],[2]) ).

cnf(15,plain,
    converse(converse(X1)) = X1,
    inference(split_conjunct,[status(thm)],[14]) ).

fof(16,plain,
    ! [X4,X5,X6] : composition(join(X4,X5),X6) = join(composition(X4,X6),composition(X5,X6)),
    inference(variable_rename,[status(thm)],[3]) ).

cnf(17,plain,
    composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
    inference(split_conjunct,[status(thm)],[16]) ).

fof(18,plain,
    ! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
    inference(variable_rename,[status(thm)],[4]) ).

cnf(19,plain,
    converse(join(X1,X2)) = join(converse(X1),converse(X2)),
    inference(split_conjunct,[status(thm)],[18]) ).

fof(20,plain,
    ! [X3,X4] : join(X3,X4) = join(X4,X3),
    inference(variable_rename,[status(thm)],[5]) ).

cnf(21,plain,
    join(X1,X2) = join(X2,X1),
    inference(split_conjunct,[status(thm)],[20]) ).

fof(26,plain,
    ! [X4,X5,X6] : join(X4,join(X5,X6)) = join(join(X4,X5),X6),
    inference(variable_rename,[status(thm)],[8]) ).

cnf(27,plain,
    join(X1,join(X2,X3)) = join(join(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[26]) ).

fof(28,plain,
    ! [X3,X4] : X3 = join(complement(join(complement(X3),complement(X4))),complement(join(complement(X3),X4))),
    inference(variable_rename,[status(thm)],[9]) ).

cnf(29,plain,
    X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
    inference(split_conjunct,[status(thm)],[28]) ).

fof(30,negated_conjecture,
    ? [X1,X2,X3] :
      ( join(join(composition(X1,join(X2,X3)),composition(X1,X2)),composition(X1,X3)) != join(composition(X1,X2),composition(X1,X3))
      | join(join(composition(X1,X2),composition(X1,X3)),composition(X1,join(X2,X3))) != composition(X1,join(X2,X3)) ),
    inference(fof_nnf,[status(thm)],[11]) ).

fof(31,negated_conjecture,
    ? [X4,X5,X6] :
      ( join(join(composition(X4,join(X5,X6)),composition(X4,X5)),composition(X4,X6)) != join(composition(X4,X5),composition(X4,X6))
      | join(join(composition(X4,X5),composition(X4,X6)),composition(X4,join(X5,X6))) != composition(X4,join(X5,X6)) ),
    inference(variable_rename,[status(thm)],[30]) ).

fof(32,negated_conjecture,
    ( join(join(composition(esk1_0,join(esk2_0,esk3_0)),composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)) != join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0))
    | join(join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0)),composition(esk1_0,join(esk2_0,esk3_0))) != composition(esk1_0,join(esk2_0,esk3_0)) ),
    inference(skolemize,[status(esa)],[31]) ).

cnf(33,negated_conjecture,
    ( join(join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0)),composition(esk1_0,join(esk2_0,esk3_0))) != composition(esk1_0,join(esk2_0,esk3_0))
    | join(join(composition(esk1_0,join(esk2_0,esk3_0)),composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)) != join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0)) ),
    inference(split_conjunct,[status(thm)],[32]) ).

cnf(34,negated_conjecture,
    ( join(composition(esk1_0,esk3_0),join(composition(esk1_0,esk2_0),composition(esk1_0,join(esk2_0,esk3_0)))) != join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0))
    | join(join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0)),composition(esk1_0,join(esk2_0,esk3_0))) != composition(esk1_0,join(esk2_0,esk3_0)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[33,21,theory(equality)]),21,theory(equality)]) ).

cnf(35,negated_conjecture,
    ( join(composition(esk1_0,esk3_0),join(composition(esk1_0,esk2_0),composition(esk1_0,join(esk2_0,esk3_0)))) != join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0))
    | join(composition(esk1_0,join(esk2_0,esk3_0)),join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0))) != composition(esk1_0,join(esk2_0,esk3_0)) ),
    inference(rw,[status(thm)],[34,21,theory(equality)]) ).

cnf(37,plain,
    composition(converse(X1),X2) = converse(composition(converse(X2),X1)),
    inference(spm,[status(thm)],[13,15,theory(equality)]) ).

cnf(50,plain,
    join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
    inference(spm,[status(thm)],[21,27,theory(equality)]) ).

cnf(52,plain,
    join(join(X2,X1),X3) = join(X1,join(X2,X3)),
    inference(spm,[status(thm)],[27,21,theory(equality)]) ).

cnf(56,plain,
    join(X2,join(X1,X3)) = join(X1,join(X2,X3)),
    inference(rw,[status(thm)],[52,27,theory(equality)]) ).

cnf(59,plain,
    join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)),
    inference(spm,[status(thm)],[17,13,theory(equality)]) ).

cnf(73,plain,
    join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
    inference(rw,[status(thm)],[29,21,theory(equality)]) ).

cnf(77,plain,
    join(complement(join(complement(join(complement(X1),X2)),join(complement(X1),complement(X2)))),complement(X1)) = join(complement(X1),X2),
    inference(spm,[status(thm)],[73,73,theory(equality)]) ).

cnf(78,plain,
    join(complement(join(X2,complement(X1))),complement(join(complement(X1),complement(X2)))) = X1,
    inference(spm,[status(thm)],[73,21,theory(equality)]) ).

cnf(79,plain,
    join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
    inference(spm,[status(thm)],[73,21,theory(equality)]) ).

cnf(82,plain,
    join(complement(X1),complement(join(complement(X1),join(complement(X2),complement(join(complement(X1),X2)))))) = join(complement(X1),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[77,21,theory(equality)]),27,theory(equality)]),21,theory(equality)]) ).

cnf(106,plain,
    join(composition(converse(X2),X1),converse(X3)) = converse(join(composition(converse(X1),X2),X3)),
    inference(spm,[status(thm)],[19,37,theory(equality)]) ).

cnf(310,plain,
    join(complement(join(X3,join(complement(X1),X2))),complement(join(complement(X1),complement(join(X2,X3))))) = X1,
    inference(spm,[status(thm)],[73,50,theory(equality)]) ).

cnf(336,negated_conjecture,
    ( join(composition(esk1_0,esk2_0),join(composition(esk1_0,esk3_0),composition(esk1_0,join(esk2_0,esk3_0)))) != join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0))
    | join(composition(esk1_0,join(esk2_0,esk3_0)),join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0))) != composition(esk1_0,join(esk2_0,esk3_0)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[35,50,theory(equality)]),21,theory(equality)]) ).

cnf(337,negated_conjecture,
    ( join(composition(esk1_0,esk2_0),join(composition(esk1_0,esk3_0),composition(esk1_0,join(esk2_0,esk3_0)))) != join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0))
    | join(composition(esk1_0,esk2_0),join(composition(esk1_0,esk3_0),composition(esk1_0,join(esk2_0,esk3_0)))) != composition(esk1_0,join(esk2_0,esk3_0)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[336,50,theory(equality)]),21,theory(equality)]),50,theory(equality)]),21,theory(equality)]) ).

cnf(372,plain,
    join(X1,X2) = join(complement(join(complement(X2),X3)),join(X1,complement(join(complement(X2),complement(X3))))),
    inference(spm,[status(thm)],[56,73,theory(equality)]) ).

cnf(1173,plain,
    converse(composition(join(converse(X1),converse(X3)),converse(X2))) = join(composition(converse(converse(X2)),X1),converse(converse(composition(X2,X3)))),
    inference(spm,[status(thm)],[106,59,theory(equality)]) ).

cnf(1221,plain,
    composition(X2,join(X1,X3)) = join(composition(converse(converse(X2)),X1),converse(converse(composition(X2,X3)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1173,19,theory(equality)]),13,theory(equality)]),15,theory(equality)]) ).

cnf(1222,plain,
    composition(X2,join(X1,X3)) = join(composition(X2,X1),composition(X2,X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[1221,15,theory(equality)]),15,theory(equality)]) ).

cnf(1553,plain,
    composition(X1,join(X2,X2)) = composition(join(X1,X1),X2),
    inference(spm,[status(thm)],[17,1222,theory(equality)]) ).

cnf(1570,negated_conjecture,
    ( composition(esk1_0,join(esk2_0,join(esk2_0,join(esk3_0,esk3_0)))) != join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0))
    | join(composition(esk1_0,esk2_0),join(composition(esk1_0,esk3_0),composition(esk1_0,join(esk2_0,esk3_0)))) != composition(esk1_0,join(esk2_0,esk3_0)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[337,1222,theory(equality)]),56,theory(equality)]),1222,theory(equality)]) ).

cnf(1571,negated_conjecture,
    ( composition(esk1_0,join(esk2_0,join(esk2_0,join(esk3_0,esk3_0)))) != composition(esk1_0,join(esk2_0,esk3_0))
    | join(composition(esk1_0,esk2_0),join(composition(esk1_0,esk3_0),composition(esk1_0,join(esk2_0,esk3_0)))) != composition(esk1_0,join(esk2_0,esk3_0)) ),
    inference(rw,[status(thm)],[1570,1222,theory(equality)]) ).

cnf(1572,negated_conjecture,
    ( composition(esk1_0,join(esk2_0,join(esk2_0,join(esk3_0,esk3_0)))) != composition(esk1_0,join(esk2_0,esk3_0))
    | composition(esk1_0,join(esk2_0,join(esk2_0,join(esk3_0,esk3_0)))) != composition(esk1_0,join(esk2_0,esk3_0)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1571,1222,theory(equality)]),56,theory(equality)]),1222,theory(equality)]) ).

cnf(1573,negated_conjecture,
    composition(esk1_0,join(esk2_0,join(esk2_0,join(esk3_0,esk3_0)))) != composition(esk1_0,join(esk2_0,esk3_0)),
    inference(cn,[status(thm)],[1572,theory(equality)]) ).

cnf(1931,plain,
    composition(X1,join(X2,join(join(X2,X3),X3))) = composition(join(X1,X1),join(X2,X3)),
    inference(spm,[status(thm)],[1553,56,theory(equality)]) ).

cnf(1982,plain,
    composition(X1,join(X2,join(X2,join(X3,X3)))) = composition(join(X1,X1),join(X2,X3)),
    inference(rw,[status(thm)],[1931,27,theory(equality)]) ).

cnf(2343,plain,
    join(complement(join(X1,complement(X2))),complement(join(complement(X1),complement(X2)))) = X2,
    inference(spm,[status(thm)],[78,21,theory(equality)]) ).

cnf(17267,plain,
    join(complement(join(complement(X1),X2)),X2) = join(complement(join(complement(X2),X1)),X1),
    inference(spm,[status(thm)],[372,79,theory(equality)]) ).

cnf(17274,plain,
    join(complement(join(complement(X1),X2)),X2) = join(complement(join(X1,complement(X2))),X1),
    inference(spm,[status(thm)],[372,2343,theory(equality)]) ).

cnf(17383,plain,
    join(X2,complement(join(complement(X1),X2))) = join(complement(join(complement(X2),X1)),X1),
    inference(rw,[status(thm)],[17267,21,theory(equality)]) ).

cnf(17384,plain,
    join(X2,complement(join(complement(X1),X2))) = join(X1,complement(join(complement(X2),X1))),
    inference(rw,[status(thm)],[17383,21,theory(equality)]) ).

cnf(17389,plain,
    join(X2,complement(join(complement(X1),X2))) = join(complement(join(X1,complement(X2))),X1),
    inference(rw,[status(thm)],[17274,21,theory(equality)]) ).

cnf(17390,plain,
    join(X2,complement(join(complement(X1),X2))) = join(X1,complement(join(X1,complement(X2)))),
    inference(rw,[status(thm)],[17389,21,theory(equality)]) ).

cnf(17984,plain,
    join(complement(join(complement(X1),X2)),join(X1,complement(join(complement(complement(X2)),X1)))) = join(complement(X2),X1),
    inference(spm,[status(thm)],[372,17384,theory(equality)]) ).

cnf(18228,plain,
    join(X1,join(complement(join(complement(X1),X2)),complement(join(complement(complement(X2)),X1)))) = join(complement(X2),X1),
    inference(rw,[status(thm)],[17984,56,theory(equality)]) ).

cnf(74408,negated_conjecture,
    composition(join(esk1_0,esk1_0),join(esk2_0,esk3_0)) != composition(esk1_0,join(esk2_0,esk3_0)),
    inference(rw,[status(thm)],[1573,1982,theory(equality)]) ).

cnf(286708,plain,
    join(complement(X1),X1) = join(complement(complement(X1)),complement(X1)),
    inference(spm,[status(thm)],[18228,2343,theory(equality)]) ).

cnf(287327,plain,
    join(X1,complement(X1)) = join(complement(complement(X1)),complement(X1)),
    inference(rw,[status(thm)],[286708,21,theory(equality)]) ).

cnf(287328,plain,
    join(X1,complement(X1)) = join(complement(X1),complement(complement(X1))),
    inference(rw,[status(thm)],[287327,21,theory(equality)]) ).

cnf(288071,plain,
    join(complement(join(complement(complement(X1)),X1)),complement(join(X1,complement(X1)))) = complement(X1),
    inference(spm,[status(thm)],[79,287328,theory(equality)]) ).

cnf(288240,plain,
    join(complement(join(X1,complement(X1))),complement(join(X1,complement(complement(X1))))) = complement(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[288071,21,theory(equality)]),21,theory(equality)]) ).

cnf(298388,plain,
    complement(complement(X1)) = X1,
    inference(spm,[status(thm)],[73,288240,theory(equality)]) ).

cnf(298713,plain,
    join(complement(join(X1,X2)),complement(join(X1,complement(X2)))) = complement(X1),
    inference(spm,[status(thm)],[73,298388,theory(equality)]) ).

cnf(298718,plain,
    join(complement(join(X1,X2)),complement(join(X2,complement(X1)))) = complement(X2),
    inference(spm,[status(thm)],[78,298388,theory(equality)]) ).

cnf(298725,plain,
    join(complement(join(X1,X2)),complement(join(complement(X1),X2))) = complement(X2),
    inference(spm,[status(thm)],[2343,298388,theory(equality)]) ).

cnf(298727,plain,
    join(X1,complement(join(X1,join(complement(X2),complement(join(X1,X2)))))) = join(X1,X2),
    inference(spm,[status(thm)],[82,298388,theory(equality)]) ).

cnf(298757,plain,
    join(complement(join(X1,X2)),join(X3,complement(join(X1,complement(X2))))) = join(X3,complement(X1)),
    inference(spm,[status(thm)],[372,298388,theory(equality)]) ).

cnf(301911,plain,
    join(complement(join(complement(X1),join(complement(join(X1,X2)),X2))),complement(complement(X2))) = join(X1,X2),
    inference(spm,[status(thm)],[310,298718,theory(equality)]) ).

cnf(302351,plain,
    join(X2,complement(join(complement(X1),join(X2,complement(join(X1,X2)))))) = join(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[301911,21,theory(equality)]),298388,theory(equality)]),21,theory(equality)]) ).

cnf(330674,plain,
    join(complement(join(X1,X2)),join(X2,complement(join(complement(X1),X2)))) = join(X1,complement(X1)),
    inference(spm,[status(thm)],[298757,17390,theory(equality)]) ).

cnf(331101,plain,
    join(X2,complement(X2)) = join(X1,complement(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[330674,56,theory(equality)]),298725,theory(equality)]) ).

cnf(331166,plain,
    join(X3,complement(X3)) = join(X1,join(X2,complement(join(X1,X2)))),
    inference(spm,[status(thm)],[27,331101,theory(equality)]) ).

cnf(331545,plain,
    join(complement(join(X2,complement(X2))),complement(join(X1,complement(complement(X1))))) = complement(X1),
    inference(spm,[status(thm)],[298713,331101,theory(equality)]) ).

cnf(331546,plain,
    join(complement(join(X1,X1)),complement(join(X2,complement(X2)))) = complement(X1),
    inference(spm,[status(thm)],[298713,331101,theory(equality)]) ).

cnf(331825,plain,
    join(complement(join(X2,complement(X2))),complement(join(X1,X1))) = complement(X1),
    inference(rw,[status(thm)],[331545,298388,theory(equality)]) ).

cnf(341240,plain,
    join(X1,complement(X1)) = join(join(X2,X2),complement(X2)),
    inference(spm,[status(thm)],[331166,331546,theory(equality)]) ).

cnf(341798,plain,
    join(X1,complement(X1)) = join(X2,join(X2,complement(X2))),
    inference(rw,[status(thm)],[341240,27,theory(equality)]) ).

cnf(343698,plain,
    join(X1,complement(X1)) = join(X2,join(X3,complement(X3))),
    inference(spm,[status(thm)],[341798,331101,theory(equality)]) ).

cnf(345922,plain,
    join(X3,complement(X3)) = join(join(X2,complement(X2)),X1),
    inference(spm,[status(thm)],[21,343698,theory(equality)]) ).

cnf(346264,plain,
    join(X3,complement(X3)) = join(X2,join(complement(X2),X1)),
    inference(rw,[status(thm)],[345922,27,theory(equality)]) ).

cnf(346922,plain,
    join(X1,complement(join(X2,complement(X2)))) = join(X1,X1),
    inference(spm,[status(thm)],[298727,346264,theory(equality)]) ).

cnf(356404,plain,
    join(complement(join(X1,complement(X1))),complement(join(complement(X2),join(complement(join(X1,complement(X1))),complement(join(X2,X2)))))) = join(X2,X2),
    inference(spm,[status(thm)],[302351,346922,theory(equality)]) ).

cnf(357486,plain,
    X2 = join(X2,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[356404,331825,theory(equality)]),331825,theory(equality)]),298388,theory(equality)]) ).

cnf(358166,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[74408,357486,theory(equality)]) ).

cnf(358167,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[358166,theory(equality)]) ).

cnf(358168,negated_conjecture,
    $false,
    358167,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/REL/REL008+2.p
% --creating new selector for [REL001+0.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpGCPj3R/sel_REL008+2.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpGCPj3R/sel_REL008+2.p_2 with time limit 80
% -prover status ResourceOut
% --creating new selector for [REL001+0.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpGCPj3R/sel_REL008+2.p_3 with time limit 74
% -prover status ResourceOut
% --creating new selector for [REL001+0.ax]
% -running prover on /tmp/tmpGCPj3R/sel_REL008+2.p_4 with time limit 54
% -prover status Theorem
% Problem REL008+2.p solved in phase 3.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/REL/REL008+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/REL/REL008+2.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------