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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SEU417+3 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art06.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 08:53:01 EST 2010

% Result   : Theorem 26.84s
% Output   : CNFRefutation 26.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   74 (  20 unt;   0 def)
%            Number of atoms       :  194 (  18 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  231 ( 111   ~;  99   |;   9   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-3 aty)
%            Number of variables   :  123 (   4 sgn  70   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(188,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
     => m1_subset_1(k8_setfam_1(X1,X2),k1_zfmisc_1(X1)) ),
    file('/tmp/tmp9Um4ae/sel_SEU417+3.p_1',dt_k8_setfam_1) ).

fof(639,axiom,
    ! [X1,X2] : k1_setfam_1(k2_tarski(X1,X2)) = k3_xboole_0(X1,X2),
    file('/tmp/tmp9Um4ae/sel_SEU417+3.p_1',t12_setfam_1) ).

fof(908,axiom,
    ! [X1,X2,X3] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(X1))
        & m1_subset_1(X3,k1_zfmisc_1(X1)) )
     => k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3) ),
    file('/tmp/tmp9Um4ae/sel_SEU417+3.p_1',redefinition_k5_subset_1) ).

fof(1260,axiom,
    ! [X1,X2,X3] :
      ( r1_tarski(X1,X2)
     => r1_tarski(k3_xboole_0(X1,X3),X2) ),
    file('/tmp/tmp9Um4ae/sel_SEU417+3.p_1',t108_xboole_1) ).

fof(1946,axiom,
    ! [X1] : u1_struct_0(k3_yellow_1(X1)) = k1_zfmisc_1(X1),
    file('/tmp/tmp9Um4ae/sel_SEU417+3.p_1',t4_waybel_7) ).

fof(3015,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
     => ! [X3] :
          ( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
         => ( r1_tarski(X2,X3)
           => r1_tarski(k8_setfam_1(X1,X3),k8_setfam_1(X1,X2)) ) ) ),
    file('/tmp/tmp9Um4ae/sel_SEU417+3.p_1',t59_setfam_1) ).

fof(3133,axiom,
    ! [X1,X2] : r1_tarski(k3_xboole_0(X1,X2),X1),
    file('/tmp/tmp9Um4ae/sel_SEU417+3.p_1',t17_xboole_1) ).

fof(3750,axiom,
    ! [X1,X2,X3] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
        & m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1))) )
     => k1_relset_2(X1,X2,X3) = k3_xboole_0(X2,X3) ),
    file('/tmp/tmp9Um4ae/sel_SEU417+3.p_1',redefinition_k1_relset_2) ).

fof(3762,axiom,
    ! [X1,X2,X3] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
        & m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1))) )
     => m1_subset_1(k1_relset_2(X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
    file('/tmp/tmp9Um4ae/sel_SEU417+3.p_1',dt_k1_relset_2) ).

fof(3765,conjecture,
    ! [X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
     => ! [X3] :
          ( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
         => r1_tarski(k5_subset_1(X1,k8_setfam_1(X1,X2),k8_setfam_1(X1,X3)),k8_setfam_1(X1,k1_relset_2(X1,X2,X3))) ) ),
    file('/tmp/tmp9Um4ae/sel_SEU417+3.p_1',t7_relset_2) ).

fof(3771,negated_conjecture,
    ~ ! [X1,X2] :
        ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
       => ! [X3] :
            ( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
           => r1_tarski(k5_subset_1(X1,k8_setfam_1(X1,X2),k8_setfam_1(X1,X3)),k8_setfam_1(X1,k1_relset_2(X1,X2,X3))) ) ),
    inference(assume_negation,[status(cth)],[3765]) ).

fof(4614,plain,
    ! [X1,X2] :
      ( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | m1_subset_1(k8_setfam_1(X1,X2),k1_zfmisc_1(X1)) ),
    inference(fof_nnf,[status(thm)],[188]) ).

fof(4615,plain,
    ! [X3,X4] :
      ( ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X3)))
      | m1_subset_1(k8_setfam_1(X3,X4),k1_zfmisc_1(X3)) ),
    inference(variable_rename,[status(thm)],[4614]) ).

cnf(4616,plain,
    ( m1_subset_1(k8_setfam_1(X1,X2),k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
    inference(split_conjunct,[status(thm)],[4615]) ).

fof(5865,plain,
    ! [X3,X4] : k1_setfam_1(k2_tarski(X3,X4)) = k3_xboole_0(X3,X4),
    inference(variable_rename,[status(thm)],[639]) ).

cnf(5866,plain,
    k1_setfam_1(k2_tarski(X1,X2)) = k3_xboole_0(X1,X2),
    inference(split_conjunct,[status(thm)],[5865]) ).

fof(6658,plain,
    ! [X1,X2,X3] :
      ( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
      | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
      | k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3) ),
    inference(fof_nnf,[status(thm)],[908]) ).

fof(6659,plain,
    ! [X4,X5,X6] :
      ( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
      | ~ m1_subset_1(X6,k1_zfmisc_1(X4))
      | k5_subset_1(X4,X5,X6) = k3_xboole_0(X5,X6) ),
    inference(variable_rename,[status(thm)],[6658]) ).

cnf(6660,plain,
    ( k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    inference(split_conjunct,[status(thm)],[6659]) ).

fof(7559,plain,
    ! [X1,X2,X3] :
      ( ~ r1_tarski(X1,X2)
      | r1_tarski(k3_xboole_0(X1,X3),X2) ),
    inference(fof_nnf,[status(thm)],[1260]) ).

fof(7560,plain,
    ! [X4,X5,X6] :
      ( ~ r1_tarski(X4,X5)
      | r1_tarski(k3_xboole_0(X4,X6),X5) ),
    inference(variable_rename,[status(thm)],[7559]) ).

cnf(7561,plain,
    ( r1_tarski(k3_xboole_0(X1,X2),X3)
    | ~ r1_tarski(X1,X3) ),
    inference(split_conjunct,[status(thm)],[7560]) ).

fof(9437,plain,
    ! [X2] : u1_struct_0(k3_yellow_1(X2)) = k1_zfmisc_1(X2),
    inference(variable_rename,[status(thm)],[1946]) ).

cnf(9438,plain,
    u1_struct_0(k3_yellow_1(X1)) = k1_zfmisc_1(X1),
    inference(split_conjunct,[status(thm)],[9437]) ).

fof(12283,plain,
    ! [X1,X2] :
      ( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ! [X3] :
          ( ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
          | ~ r1_tarski(X2,X3)
          | r1_tarski(k8_setfam_1(X1,X3),k8_setfam_1(X1,X2)) ) ),
    inference(fof_nnf,[status(thm)],[3015]) ).

fof(12284,plain,
    ! [X4,X5] :
      ( ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X4)))
      | ! [X6] :
          ( ~ m1_subset_1(X6,k1_zfmisc_1(k1_zfmisc_1(X4)))
          | ~ r1_tarski(X5,X6)
          | r1_tarski(k8_setfam_1(X4,X6),k8_setfam_1(X4,X5)) ) ),
    inference(variable_rename,[status(thm)],[12283]) ).

fof(12285,plain,
    ! [X4,X5,X6] :
      ( ~ m1_subset_1(X6,k1_zfmisc_1(k1_zfmisc_1(X4)))
      | ~ r1_tarski(X5,X6)
      | r1_tarski(k8_setfam_1(X4,X6),k8_setfam_1(X4,X5))
      | ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X4))) ),
    inference(shift_quantors,[status(thm)],[12284]) ).

cnf(12286,plain,
    ( r1_tarski(k8_setfam_1(X2,X3),k8_setfam_1(X2,X1))
    | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2)))
    | ~ r1_tarski(X1,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
    inference(split_conjunct,[status(thm)],[12285]) ).

fof(12563,plain,
    ! [X3,X4] : r1_tarski(k3_xboole_0(X3,X4),X3),
    inference(variable_rename,[status(thm)],[3133]) ).

cnf(12564,plain,
    r1_tarski(k3_xboole_0(X1,X2),X1),
    inference(split_conjunct,[status(thm)],[12563]) ).

fof(14175,plain,
    ! [X1,X2,X3] :
      ( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | k1_relset_2(X1,X2,X3) = k3_xboole_0(X2,X3) ),
    inference(fof_nnf,[status(thm)],[3750]) ).

fof(14176,plain,
    ! [X4,X5,X6] :
      ( ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X4)))
      | ~ m1_subset_1(X6,k1_zfmisc_1(k1_zfmisc_1(X4)))
      | k1_relset_2(X4,X5,X6) = k3_xboole_0(X5,X6) ),
    inference(variable_rename,[status(thm)],[14175]) ).

cnf(14177,plain,
    ( k1_relset_2(X1,X2,X3) = k3_xboole_0(X2,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
    | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
    inference(split_conjunct,[status(thm)],[14176]) ).

fof(14211,plain,
    ! [X1,X2,X3] :
      ( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
      | m1_subset_1(k1_relset_2(X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
    inference(fof_nnf,[status(thm)],[3762]) ).

fof(14212,plain,
    ! [X4,X5,X6] :
      ( ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X4)))
      | ~ m1_subset_1(X6,k1_zfmisc_1(k1_zfmisc_1(X4)))
      | m1_subset_1(k1_relset_2(X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X4))) ),
    inference(variable_rename,[status(thm)],[14211]) ).

cnf(14213,plain,
    ( m1_subset_1(k1_relset_2(X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
    | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
    inference(split_conjunct,[status(thm)],[14212]) ).

fof(14225,negated_conjecture,
    ? [X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
      & ? [X3] :
          ( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
          & ~ r1_tarski(k5_subset_1(X1,k8_setfam_1(X1,X2),k8_setfam_1(X1,X3)),k8_setfam_1(X1,k1_relset_2(X1,X2,X3))) ) ),
    inference(fof_nnf,[status(thm)],[3771]) ).

fof(14226,negated_conjecture,
    ? [X4,X5] :
      ( m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X4)))
      & ? [X6] :
          ( m1_subset_1(X6,k1_zfmisc_1(k1_zfmisc_1(X4)))
          & ~ r1_tarski(k5_subset_1(X4,k8_setfam_1(X4,X5),k8_setfam_1(X4,X6)),k8_setfam_1(X4,k1_relset_2(X4,X5,X6))) ) ),
    inference(variable_rename,[status(thm)],[14225]) ).

fof(14227,negated_conjecture,
    ( m1_subset_1(esk514_0,k1_zfmisc_1(k1_zfmisc_1(esk513_0)))
    & m1_subset_1(esk515_0,k1_zfmisc_1(k1_zfmisc_1(esk513_0)))
    & ~ r1_tarski(k5_subset_1(esk513_0,k8_setfam_1(esk513_0,esk514_0),k8_setfam_1(esk513_0,esk515_0)),k8_setfam_1(esk513_0,k1_relset_2(esk513_0,esk514_0,esk515_0))) ),
    inference(skolemize,[status(esa)],[14226]) ).

cnf(14228,negated_conjecture,
    ~ r1_tarski(k5_subset_1(esk513_0,k8_setfam_1(esk513_0,esk514_0),k8_setfam_1(esk513_0,esk515_0)),k8_setfam_1(esk513_0,k1_relset_2(esk513_0,esk514_0,esk515_0))),
    inference(split_conjunct,[status(thm)],[14227]) ).

cnf(14229,negated_conjecture,
    m1_subset_1(esk515_0,k1_zfmisc_1(k1_zfmisc_1(esk513_0))),
    inference(split_conjunct,[status(thm)],[14227]) ).

cnf(14230,negated_conjecture,
    m1_subset_1(esk514_0,k1_zfmisc_1(k1_zfmisc_1(esk513_0))),
    inference(split_conjunct,[status(thm)],[14227]) ).

cnf(14637,negated_conjecture,
    m1_subset_1(esk514_0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(esk513_0))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[14230,9438,theory(equality)]),9438,theory(equality)]),
    [unfolding] ).

cnf(14638,negated_conjecture,
    m1_subset_1(esk515_0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(esk513_0))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[14229,9438,theory(equality)]),9438,theory(equality)]),
    [unfolding] ).

cnf(14699,plain,
    ( m1_subset_1(k8_setfam_1(X1,X2),u1_struct_0(k3_yellow_1(X1)))
    | ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4616,9438,theory(equality)]),9438,theory(equality)]),9438,theory(equality)]),
    [unfolding] ).

cnf(14786,plain,
    ( k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(X1)))
    | ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(X1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[6660,9438,theory(equality)]),9438,theory(equality)]),
    [unfolding] ).

cnf(14802,plain,
    ( k1_relset_2(X1,X2,X3) = k3_xboole_0(X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
    | ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14177,9438,theory(equality)]),9438,theory(equality)]),9438,theory(equality)]),9438,theory(equality)]),
    [unfolding] ).

cnf(14814,plain,
    ( m1_subset_1(k1_relset_2(X1,X2,X3),u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
    | ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
    | ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14213,9438,theory(equality)]),9438,theory(equality)]),9438,theory(equality)]),9438,theory(equality)]),9438,theory(equality)]),9438,theory(equality)]),
    [unfolding] ).

cnf(15010,plain,
    ( r1_tarski(k8_setfam_1(X2,X3),k8_setfam_1(X2,X1))
    | ~ r1_tarski(X1,X3)
    | ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2)))))
    | ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12286,9438,theory(equality)]),9438,theory(equality)]),9438,theory(equality)]),9438,theory(equality)]),
    [unfolding] ).

cnf(15740,plain,
    r1_tarski(k1_setfam_1(k2_tarski(X1,X2)),X1),
    inference(rw,[status(thm)],[12564,5866,theory(equality)]),
    [unfolding] ).

cnf(15793,plain,
    ( r1_tarski(k1_setfam_1(k2_tarski(X1,X2)),X3)
    | ~ r1_tarski(X1,X3) ),
    inference(rw,[status(thm)],[7561,5866,theory(equality)]),
    [unfolding] ).

cnf(15834,plain,
    ( k5_subset_1(X1,X2,X3) = k1_setfam_1(k2_tarski(X2,X3))
    | ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(X1)))
    | ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(X1))) ),
    inference(rw,[status(thm)],[14786,5866,theory(equality)]),
    [unfolding] ).

cnf(15841,plain,
    ( k1_relset_2(X1,X2,X3) = k1_setfam_1(k2_tarski(X2,X3))
    | ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1)))))
    | ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
    inference(rw,[status(thm)],[14802,5866,theory(equality)]),
    [unfolding] ).

cnf(29283,negated_conjecture,
    ( ~ r1_tarski(k1_setfam_1(k2_tarski(k8_setfam_1(esk513_0,esk514_0),k8_setfam_1(esk513_0,esk515_0))),k8_setfam_1(esk513_0,k1_relset_2(esk513_0,esk514_0,esk515_0)))
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk515_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk514_0),u1_struct_0(k3_yellow_1(esk513_0))) ),
    inference(spm,[status(thm)],[14228,15834,theory(equality)]) ).

cnf(184296,negated_conjecture,
    ( ~ m1_subset_1(k8_setfam_1(esk513_0,esk515_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk514_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ r1_tarski(k8_setfam_1(esk513_0,esk514_0),k8_setfam_1(esk513_0,k1_relset_2(esk513_0,esk514_0,esk515_0))) ),
    inference(spm,[status(thm)],[29283,15793,theory(equality)]) ).

cnf(184378,negated_conjecture,
    ( ~ m1_subset_1(k8_setfam_1(esk513_0,esk515_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk514_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ r1_tarski(k1_relset_2(esk513_0,esk514_0,esk515_0),esk514_0)
    | ~ m1_subset_1(esk514_0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(esk513_0)))))
    | ~ m1_subset_1(k1_relset_2(esk513_0,esk514_0,esk515_0),u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(esk513_0))))) ),
    inference(spm,[status(thm)],[184296,15010,theory(equality)]) ).

cnf(184409,negated_conjecture,
    ( ~ m1_subset_1(k8_setfam_1(esk513_0,esk515_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk514_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ r1_tarski(k1_relset_2(esk513_0,esk514_0,esk515_0),esk514_0)
    | $false
    | ~ m1_subset_1(k1_relset_2(esk513_0,esk514_0,esk515_0),u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(esk513_0))))) ),
    inference(rw,[status(thm)],[184378,14637,theory(equality)]) ).

cnf(184410,negated_conjecture,
    ( ~ m1_subset_1(k8_setfam_1(esk513_0,esk515_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk514_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ r1_tarski(k1_relset_2(esk513_0,esk514_0,esk515_0),esk514_0)
    | ~ m1_subset_1(k1_relset_2(esk513_0,esk514_0,esk515_0),u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(esk513_0))))) ),
    inference(cn,[status(thm)],[184409,theory(equality)]) ).

cnf(184494,negated_conjecture,
    ( ~ r1_tarski(k1_relset_2(esk513_0,esk514_0,esk515_0),esk514_0)
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk515_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk514_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ m1_subset_1(esk515_0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(esk513_0)))))
    | ~ m1_subset_1(esk514_0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(esk513_0))))) ),
    inference(spm,[status(thm)],[184410,14814,theory(equality)]) ).

cnf(184506,negated_conjecture,
    ( ~ r1_tarski(k1_relset_2(esk513_0,esk514_0,esk515_0),esk514_0)
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk515_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk514_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | $false
    | ~ m1_subset_1(esk514_0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(esk513_0))))) ),
    inference(rw,[status(thm)],[184494,14638,theory(equality)]) ).

cnf(184507,negated_conjecture,
    ( ~ r1_tarski(k1_relset_2(esk513_0,esk514_0,esk515_0),esk514_0)
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk515_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk514_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | $false
    | $false ),
    inference(rw,[status(thm)],[184506,14637,theory(equality)]) ).

cnf(184508,negated_conjecture,
    ( ~ r1_tarski(k1_relset_2(esk513_0,esk514_0,esk515_0),esk514_0)
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk515_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk514_0),u1_struct_0(k3_yellow_1(esk513_0))) ),
    inference(cn,[status(thm)],[184507,theory(equality)]) ).

cnf(184515,negated_conjecture,
    ( ~ r1_tarski(k1_setfam_1(k2_tarski(esk514_0,esk515_0)),esk514_0)
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk515_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk514_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ m1_subset_1(esk515_0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(esk513_0)))))
    | ~ m1_subset_1(esk514_0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(esk513_0))))) ),
    inference(spm,[status(thm)],[184508,15841,theory(equality)]) ).

cnf(184522,negated_conjecture,
    ( $false
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk515_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk514_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ m1_subset_1(esk515_0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(esk513_0)))))
    | ~ m1_subset_1(esk514_0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(esk513_0))))) ),
    inference(rw,[status(thm)],[184515,15740,theory(equality)]) ).

cnf(184523,negated_conjecture,
    ( $false
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk515_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk514_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | $false
    | ~ m1_subset_1(esk514_0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(esk513_0))))) ),
    inference(rw,[status(thm)],[184522,14638,theory(equality)]) ).

cnf(184524,negated_conjecture,
    ( $false
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk515_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk514_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | $false
    | $false ),
    inference(rw,[status(thm)],[184523,14637,theory(equality)]) ).

cnf(184525,negated_conjecture,
    ( ~ m1_subset_1(k8_setfam_1(esk513_0,esk515_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ m1_subset_1(k8_setfam_1(esk513_0,esk514_0),u1_struct_0(k3_yellow_1(esk513_0))) ),
    inference(cn,[status(thm)],[184524,theory(equality)]) ).

cnf(184526,negated_conjecture,
    ( ~ m1_subset_1(k8_setfam_1(esk513_0,esk514_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | ~ m1_subset_1(esk515_0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(esk513_0))))) ),
    inference(spm,[status(thm)],[184525,14699,theory(equality)]) ).

cnf(184536,negated_conjecture,
    ( ~ m1_subset_1(k8_setfam_1(esk513_0,esk514_0),u1_struct_0(k3_yellow_1(esk513_0)))
    | $false ),
    inference(rw,[status(thm)],[184526,14638,theory(equality)]) ).

cnf(184537,negated_conjecture,
    ~ m1_subset_1(k8_setfam_1(esk513_0,esk514_0),u1_struct_0(k3_yellow_1(esk513_0))),
    inference(cn,[status(thm)],[184536,theory(equality)]) ).

cnf(184546,negated_conjecture,
    ~ m1_subset_1(esk514_0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(esk513_0))))),
    inference(spm,[status(thm)],[184537,14699,theory(equality)]) ).

cnf(184556,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[184546,14637,theory(equality)]) ).

cnf(184557,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[184556,theory(equality)]) ).

cnf(184558,negated_conjecture,
    $false,
    184557,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU417+3.p
% --creating new selector for [SET007+3.ax, SET007+0.ax, SET007+1.ax, SET007+2.ax, SET007+4.ax, SET007+5.ax, SET007+6.ax, SET007+7.ax, SET007+8.ax, SET007+9.ax, SET007+10.ax, SET007+11.ax, SET007+13.ax, SET007+14.ax, SET007+15.ax, SET007+16.ax, SET007+17.ax, SET007+18.ax, SET007+19.ax, SET007+20.ax, SET007+21.ax, SET007+22.ax, SET007+23.ax, SET007+24.ax, SET007+25.ax, SET007+26.ax, SET007+31.ax, SET007+32.ax, SET007+33.ax, SET007+34.ax, SET007+35.ax, SET007+40.ax, SET007+48.ax, SET007+50.ax, SET007+51.ax, SET007+54.ax, SET007+55.ax, SET007+59.ax, SET007+60.ax, SET007+61.ax, SET007+64.ax, SET007+66.ax, SET007+67.ax, SET007+68.ax, SET007+71.ax, SET007+75.ax, SET007+76.ax, SET007+77.ax, SET007+79.ax, SET007+80.ax, SET007+86.ax, SET007+91.ax, SET007+117.ax, SET007+125.ax, SET007+126.ax, SET007+148.ax, SET007+159.ax, SET007+165.ax, SET007+170.ax, SET007+182.ax, SET007+186.ax, SET007+188.ax, SET007+190.ax, SET007+200.ax, SET007+202.ax, SET007+205.ax, SET007+206.ax, SET007+207.ax, SET007+209.ax, SET007+210.ax, SET007+211.ax, SET007+212.ax, SET007+213.ax, SET007+217.ax, SET007+218.ax, SET007+223.ax, SET007+224.ax, SET007+225.ax, SET007+227.ax, SET007+237.ax, SET007+241.ax, SET007+242.ax, SET007+246.ax, SET007+247.ax, SET007+248.ax, SET007+252.ax, SET007+253.ax, SET007+255.ax, SET007+256.ax, SET007+276.ax, SET007+278.ax, SET007+279.ax, SET007+280.ax, SET007+281.ax, SET007+293.ax, SET007+295.ax, SET007+297.ax, SET007+298.ax, SET007+299.ax, SET007+301.ax, SET007+308.ax, SET007+309.ax, SET007+311.ax, SET007+312.ax, SET007+317.ax, SET007+321.ax, SET007+322.ax, SET007+327.ax, SET007+335.ax, SET007+338.ax, SET007+339.ax, SET007+354.ax, SET007+363.ax, SET007+365.ax, SET007+370.ax, SET007+375.ax, SET007+377.ax, SET007+384.ax, SET007+387.ax, SET007+388.ax, SET007+393.ax, SET007+394.ax, SET007+395.ax, SET007+396.ax, SET007+399.ax, SET007+401.ax, SET007+405.ax, SET007+406.ax, SET007+407.ax, SET007+411.ax, SET007+412.ax, SET007+426.ax, SET007+427.ax, SET007+432.ax, SET007+433.ax, SET007+438.ax, SET007+441.ax, SET007+445.ax, SET007+448.ax, SET007+449.ax, SET007+455.ax, SET007+463.ax, SET007+464.ax, SET007+466.ax, SET007+480.ax, SET007+481.ax, SET007+483.ax, SET007+484.ax, SET007+485.ax, SET007+486.ax, SET007+487.ax, SET007+488.ax, SET007+489.ax, SET007+490.ax, SET007+492.ax, SET007+493.ax, SET007+494.ax, SET007+495.ax, SET007+496.ax, SET007+497.ax, SET007+498.ax, SET007+500.ax, SET007+503.ax, SET007+505.ax, SET007+506.ax, SET007+509.ax, SET007+513.ax, SET007+514.ax, SET007+517.ax, SET007+520.ax, SET007+525.ax, SET007+527.ax, SET007+530.ax, SET007+537.ax, SET007+538.ax, SET007+542.ax, SET007+544.ax, SET007+545.ax, SET007+558.ax, SET007+559.ax, SET007+560.ax, SET007+561.ax, SET007+567.ax, SET007+572.ax, SET007+573.ax, SET007+586.ax, SET007+603.ax, SET007+620.ax, SET007+636.ax, SET007+637.ax, SET007+654.ax, SET007+655.ax, SET007+682.ax, SET007+695.ax, SET007+696.ax, SET007+697.ax, SET007+698.ax, SET007+699.ax, SET007+844.ax]
% -running prover on /tmp/tmp9Um4ae/sel_SEU417+3.p_1 with time limit 29
% -prover status Theorem
% Problem SEU417+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU417+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU417+3.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
% 
%------------------------------------------------------------------------------