TSTP Solution File: SEU427+3 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SEU427+3 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art02.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 09:11:20 EST 2010

% Result   : Theorem 33.78s
% Output   : CNFRefutation 33.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   67 (  37 unt;   0 def)
%            Number of atoms       :  150 (  71 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  141 (  58   ~;  53   |;  17   &)
%                                         (   1 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;   6 con; 0-4 aty)
%            Number of variables   :  103 (   3 sgn  59   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(675,axiom,
    ! [X1] : k3_pua2mss1(X1) = k8_eqrel_1(X1,k6_partfun1(X1)),
    file('/tmp/tmpGQEEpq/sel_SEU427+3.p_1',d2_pua2mss1) ).

fof(739,axiom,
    ! [X1,X2] : k3_tarski(k2_tarski(X1,X2)) = k2_xboole_0(X1,X2),
    file('/tmp/tmpGQEEpq/sel_SEU427+3.p_1',t93_zfmisc_1) ).

fof(781,axiom,
    ! [X1,X2,X3] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(X1))
        & m1_subset_1(X3,k1_zfmisc_1(X1)) )
     => k4_subset_1(X1,X2,X3) = k2_xboole_0(X2,X3) ),
    file('/tmp/tmpGQEEpq/sel_SEU427+3.p_1',redefinition_k4_subset_1) ).

fof(868,axiom,
    ! [X1] : k6_partfun1(X1) = k6_relat_1(X1),
    file('/tmp/tmpGQEEpq/sel_SEU427+3.p_1',redefinition_k6_partfun1) ).

fof(1222,axiom,
    ! [X1,X2] :
      ( r1_tarski(X1,X2)
     => k2_xboole_0(X1,X2) = X2 ),
    file('/tmp/tmpGQEEpq/sel_SEU427+3.p_1',t12_xboole_1) ).

fof(1761,axiom,
    ! [X1] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
    file('/tmp/tmpGQEEpq/sel_SEU427+3.p_1',t4_subset_1) ).

fof(2081,axiom,
    ! [X1] : u1_struct_0(k3_yellow_1(X1)) = k1_zfmisc_1(X1),
    file('/tmp/tmpGQEEpq/sel_SEU427+3.p_1',t4_waybel_7) ).

fof(2849,axiom,
    ! [X1] : r1_tarski(k1_xboole_0,X1),
    file('/tmp/tmpGQEEpq/sel_SEU427+3.p_1',t2_xboole_1) ).

fof(4023,conjecture,
    ! [X1,X2,X3] :
      ( m1_subset_1(X3,k1_zfmisc_1(X1))
     => ! [X4] :
          ( m1_subset_1(X4,k1_zfmisc_1(X1))
         => ! [X5] :
              ( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
             => ( k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X5),k3_pua2mss1(X3)) = k1_xboole_0
               => k8_relset_2(X1,X2,k4_subset_1(X1,X3,X4),X5) = k8_relset_2(X1,X2,X4,X5) ) ) ) ),
    file('/tmp/tmpGQEEpq/sel_SEU427+3.p_1',t26_relset_2) ).

fof(4035,axiom,
    ! [X1,X2,X3] :
      ( m1_subset_1(X3,k1_zfmisc_1(X1))
     => ! [X4] :
          ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
         => ( k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X4),k3_pua2mss1(X3)) = k1_xboole_0
          <=> X3 = k1_xboole_0 ) ) ),
    file('/tmp/tmpGQEEpq/sel_SEU427+3.p_1',t23_relset_2) ).

fof(4055,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( m1_subset_1(X3,k1_zfmisc_1(X1))
       => ! [X4] :
            ( m1_subset_1(X4,k1_zfmisc_1(X1))
           => ! [X5] :
                ( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
               => ( k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X5),k3_pua2mss1(X3)) = k1_xboole_0
                 => k8_relset_2(X1,X2,k4_subset_1(X1,X3,X4),X5) = k8_relset_2(X1,X2,X4,X5) ) ) ) ),
    inference(assume_negation,[status(cth)],[4023]) ).

fof(6487,plain,
    ! [X2] : k3_pua2mss1(X2) = k8_eqrel_1(X2,k6_partfun1(X2)),
    inference(variable_rename,[status(thm)],[675]) ).

cnf(6488,plain,
    k3_pua2mss1(X1) = k8_eqrel_1(X1,k6_partfun1(X1)),
    inference(split_conjunct,[status(thm)],[6487]) ).

fof(6679,plain,
    ! [X3,X4] : k3_tarski(k2_tarski(X3,X4)) = k2_xboole_0(X3,X4),
    inference(variable_rename,[status(thm)],[739]) ).

cnf(6680,plain,
    k3_tarski(k2_tarski(X1,X2)) = k2_xboole_0(X1,X2),
    inference(split_conjunct,[status(thm)],[6679]) ).

fof(6771,plain,
    ! [X1,X2,X3] :
      ( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
      | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
      | k4_subset_1(X1,X2,X3) = k2_xboole_0(X2,X3) ),
    inference(fof_nnf,[status(thm)],[781]) ).

fof(6772,plain,
    ! [X4,X5,X6] :
      ( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
      | ~ m1_subset_1(X6,k1_zfmisc_1(X4))
      | k4_subset_1(X4,X5,X6) = k2_xboole_0(X5,X6) ),
    inference(variable_rename,[status(thm)],[6771]) ).

cnf(6773,plain,
    ( k4_subset_1(X1,X2,X3) = k2_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)],[6772]) ).

fof(7051,plain,
    ! [X2] : k6_partfun1(X2) = k6_relat_1(X2),
    inference(variable_rename,[status(thm)],[868]) ).

cnf(7052,plain,
    k6_partfun1(X1) = k6_relat_1(X1),
    inference(split_conjunct,[status(thm)],[7051]) ).

fof(7984,plain,
    ! [X1,X2] :
      ( ~ r1_tarski(X1,X2)
      | k2_xboole_0(X1,X2) = X2 ),
    inference(fof_nnf,[status(thm)],[1222]) ).

fof(7985,plain,
    ! [X3,X4] :
      ( ~ r1_tarski(X3,X4)
      | k2_xboole_0(X3,X4) = X4 ),
    inference(variable_rename,[status(thm)],[7984]) ).

cnf(7986,plain,
    ( k2_xboole_0(X1,X2) = X2
    | ~ r1_tarski(X1,X2) ),
    inference(split_conjunct,[status(thm)],[7985]) ).

fof(9489,plain,
    ! [X2] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X2)),
    inference(variable_rename,[status(thm)],[1761]) ).

cnf(9490,plain,
    m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
    inference(split_conjunct,[status(thm)],[9489]) ).

fof(10476,plain,
    ! [X2] : u1_struct_0(k3_yellow_1(X2)) = k1_zfmisc_1(X2),
    inference(variable_rename,[status(thm)],[2081]) ).

cnf(10477,plain,
    u1_struct_0(k3_yellow_1(X1)) = k1_zfmisc_1(X1),
    inference(split_conjunct,[status(thm)],[10476]) ).

fof(12628,plain,
    ! [X2] : r1_tarski(k1_xboole_0,X2),
    inference(variable_rename,[status(thm)],[2849]) ).

cnf(12629,plain,
    r1_tarski(k1_xboole_0,X1),
    inference(split_conjunct,[status(thm)],[12628]) ).

fof(15945,negated_conjecture,
    ? [X1,X2,X3] :
      ( m1_subset_1(X3,k1_zfmisc_1(X1))
      & ? [X4] :
          ( m1_subset_1(X4,k1_zfmisc_1(X1))
          & ? [X5] :
              ( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
              & k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X5),k3_pua2mss1(X3)) = k1_xboole_0
              & k8_relset_2(X1,X2,k4_subset_1(X1,X3,X4),X5) != k8_relset_2(X1,X2,X4,X5) ) ) ),
    inference(fof_nnf,[status(thm)],[4055]) ).

fof(15946,negated_conjecture,
    ? [X6,X7,X8] :
      ( m1_subset_1(X8,k1_zfmisc_1(X6))
      & ? [X9] :
          ( m1_subset_1(X9,k1_zfmisc_1(X6))
          & ? [X10] :
              ( m1_subset_1(X10,k1_zfmisc_1(k2_zfmisc_1(X6,X7)))
              & k4_relset_2(k1_zfmisc_1(X6),X7,k6_relset_2(X7,X6,X10),k3_pua2mss1(X8)) = k1_xboole_0
              & k8_relset_2(X6,X7,k4_subset_1(X6,X8,X9),X10) != k8_relset_2(X6,X7,X9,X10) ) ) ),
    inference(variable_rename,[status(thm)],[15945]) ).

fof(15947,negated_conjecture,
    ( m1_subset_1(esk581_0,k1_zfmisc_1(esk579_0))
    & m1_subset_1(esk582_0,k1_zfmisc_1(esk579_0))
    & m1_subset_1(esk583_0,k1_zfmisc_1(k2_zfmisc_1(esk579_0,esk580_0)))
    & k4_relset_2(k1_zfmisc_1(esk579_0),esk580_0,k6_relset_2(esk580_0,esk579_0,esk583_0),k3_pua2mss1(esk581_0)) = k1_xboole_0
    & k8_relset_2(esk579_0,esk580_0,k4_subset_1(esk579_0,esk581_0,esk582_0),esk583_0) != k8_relset_2(esk579_0,esk580_0,esk582_0,esk583_0) ),
    inference(skolemize,[status(esa)],[15946]) ).

cnf(15948,negated_conjecture,
    k8_relset_2(esk579_0,esk580_0,k4_subset_1(esk579_0,esk581_0,esk582_0),esk583_0) != k8_relset_2(esk579_0,esk580_0,esk582_0,esk583_0),
    inference(split_conjunct,[status(thm)],[15947]) ).

cnf(15949,negated_conjecture,
    k4_relset_2(k1_zfmisc_1(esk579_0),esk580_0,k6_relset_2(esk580_0,esk579_0,esk583_0),k3_pua2mss1(esk581_0)) = k1_xboole_0,
    inference(split_conjunct,[status(thm)],[15947]) ).

cnf(15950,negated_conjecture,
    m1_subset_1(esk583_0,k1_zfmisc_1(k2_zfmisc_1(esk579_0,esk580_0))),
    inference(split_conjunct,[status(thm)],[15947]) ).

cnf(15951,negated_conjecture,
    m1_subset_1(esk582_0,k1_zfmisc_1(esk579_0)),
    inference(split_conjunct,[status(thm)],[15947]) ).

cnf(15952,negated_conjecture,
    m1_subset_1(esk581_0,k1_zfmisc_1(esk579_0)),
    inference(split_conjunct,[status(thm)],[15947]) ).

fof(16001,plain,
    ! [X1,X2,X3] :
      ( ~ m1_subset_1(X3,k1_zfmisc_1(X1))
      | ! [X4] :
          ( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
          | ( ( k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X4),k3_pua2mss1(X3)) != k1_xboole_0
              | X3 = k1_xboole_0 )
            & ( X3 != k1_xboole_0
              | k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X4),k3_pua2mss1(X3)) = k1_xboole_0 ) ) ) ),
    inference(fof_nnf,[status(thm)],[4035]) ).

fof(16002,plain,
    ! [X5,X6,X7] :
      ( ~ m1_subset_1(X7,k1_zfmisc_1(X5))
      | ! [X8] :
          ( ~ m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
          | ( ( k4_relset_2(k1_zfmisc_1(X5),X6,k6_relset_2(X6,X5,X8),k3_pua2mss1(X7)) != k1_xboole_0
              | X7 = k1_xboole_0 )
            & ( X7 != k1_xboole_0
              | k4_relset_2(k1_zfmisc_1(X5),X6,k6_relset_2(X6,X5,X8),k3_pua2mss1(X7)) = k1_xboole_0 ) ) ) ),
    inference(variable_rename,[status(thm)],[16001]) ).

fof(16003,plain,
    ! [X5,X6,X7,X8] :
      ( ~ m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
      | ( ( k4_relset_2(k1_zfmisc_1(X5),X6,k6_relset_2(X6,X5,X8),k3_pua2mss1(X7)) != k1_xboole_0
          | X7 = k1_xboole_0 )
        & ( X7 != k1_xboole_0
          | k4_relset_2(k1_zfmisc_1(X5),X6,k6_relset_2(X6,X5,X8),k3_pua2mss1(X7)) = k1_xboole_0 ) )
      | ~ m1_subset_1(X7,k1_zfmisc_1(X5)) ),
    inference(shift_quantors,[status(thm)],[16002]) ).

fof(16004,plain,
    ! [X5,X6,X7,X8] :
      ( ( k4_relset_2(k1_zfmisc_1(X5),X6,k6_relset_2(X6,X5,X8),k3_pua2mss1(X7)) != k1_xboole_0
        | X7 = k1_xboole_0
        | ~ m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
        | ~ m1_subset_1(X7,k1_zfmisc_1(X5)) )
      & ( X7 != k1_xboole_0
        | k4_relset_2(k1_zfmisc_1(X5),X6,k6_relset_2(X6,X5,X8),k3_pua2mss1(X7)) = k1_xboole_0
        | ~ m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
        | ~ m1_subset_1(X7,k1_zfmisc_1(X5)) ) ),
    inference(distribute,[status(thm)],[16003]) ).

cnf(16006,plain,
    ( X1 = k1_xboole_0
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
    | k4_relset_2(k1_zfmisc_1(X2),X4,k6_relset_2(X4,X2,X3),k3_pua2mss1(X1)) != k1_xboole_0 ),
    inference(split_conjunct,[status(thm)],[16004]) ).

cnf(16286,plain,
    k8_eqrel_1(X1,k6_relat_1(X1)) = k3_pua2mss1(X1),
    inference(rw,[status(thm)],[6488,7052,theory(equality)]),
    [unfolding] ).

cnf(16538,plain,
    m1_subset_1(k1_xboole_0,u1_struct_0(k3_yellow_1(X1))),
    inference(rw,[status(thm)],[9490,10477,theory(equality)]),
    [unfolding] ).

cnf(16541,negated_conjecture,
    m1_subset_1(esk581_0,u1_struct_0(k3_yellow_1(esk579_0))),
    inference(rw,[status(thm)],[15952,10477,theory(equality)]),
    [unfolding] ).

cnf(16542,negated_conjecture,
    m1_subset_1(esk582_0,u1_struct_0(k3_yellow_1(esk579_0))),
    inference(rw,[status(thm)],[15951,10477,theory(equality)]),
    [unfolding] ).

cnf(16551,negated_conjecture,
    m1_subset_1(esk583_0,u1_struct_0(k3_yellow_1(k2_zfmisc_1(esk579_0,esk580_0)))),
    inference(rw,[status(thm)],[15950,10477,theory(equality)]),
    [unfolding] ).

cnf(16557,negated_conjecture,
    k4_relset_2(u1_struct_0(k3_yellow_1(esk579_0)),esk580_0,k6_relset_2(esk580_0,esk579_0,esk583_0),k3_pua2mss1(esk581_0)) = k1_xboole_0,
    inference(rw,[status(thm)],[15949,10477,theory(equality)]),
    [unfolding] ).

cnf(16710,plain,
    ( k4_subset_1(X1,X2,X3) = k2_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)],[6773,10477,theory(equality)]),10477,theory(equality)]),
    [unfolding] ).

cnf(16934,plain,
    ( k1_xboole_0 = X1
    | k4_relset_2(u1_struct_0(k3_yellow_1(X2)),X4,k6_relset_2(X4,X2,X3),k3_pua2mss1(X1)) != k1_xboole_0
    | ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(X2)))
    | ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(k2_zfmisc_1(X2,X4)))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16006,10477,theory(equality)]),10477,theory(equality)]),10477,theory(equality)]),
    [unfolding] ).

cnf(17537,negated_conjecture,
    k4_relset_2(u1_struct_0(k3_yellow_1(esk579_0)),esk580_0,k6_relset_2(esk580_0,esk579_0,esk583_0),k8_eqrel_1(esk581_0,k6_relat_1(esk581_0))) = k1_xboole_0,
    inference(rw,[status(thm)],[16557,16286,theory(equality)]),
    [unfolding] ).

cnf(17549,plain,
    ( k1_xboole_0 = X1
    | k4_relset_2(u1_struct_0(k3_yellow_1(X2)),X4,k6_relset_2(X4,X2,X3),k8_eqrel_1(X1,k6_relat_1(X1))) != k1_xboole_0
    | ~ m1_subset_1(X1,u1_struct_0(k3_yellow_1(X2)))
    | ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(k2_zfmisc_1(X2,X4)))) ),
    inference(rw,[status(thm)],[16934,16286,theory(equality)]),
    [unfolding] ).

cnf(17808,plain,
    ( k3_tarski(k2_tarski(X1,X2)) = X2
    | ~ r1_tarski(X1,X2) ),
    inference(rw,[status(thm)],[7986,6680,theory(equality)]),
    [unfolding] ).

cnf(17869,plain,
    ( k4_subset_1(X1,X2,X3) = k3_tarski(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)],[16710,6680,theory(equality)]),
    [unfolding] ).

cnf(33844,negated_conjecture,
    ( k1_xboole_0 = esk581_0
    | ~ m1_subset_1(esk583_0,u1_struct_0(k3_yellow_1(k2_zfmisc_1(esk579_0,esk580_0))))
    | ~ m1_subset_1(esk581_0,u1_struct_0(k3_yellow_1(esk579_0))) ),
    inference(spm,[status(thm)],[17549,17537,theory(equality)]) ).

cnf(33848,negated_conjecture,
    ( k1_xboole_0 = esk581_0
    | $false
    | ~ m1_subset_1(esk581_0,u1_struct_0(k3_yellow_1(esk579_0))) ),
    inference(rw,[status(thm)],[33844,16551,theory(equality)]) ).

cnf(33849,negated_conjecture,
    ( k1_xboole_0 = esk581_0
    | $false
    | $false ),
    inference(rw,[status(thm)],[33848,16541,theory(equality)]) ).

cnf(33850,negated_conjecture,
    k1_xboole_0 = esk581_0,
    inference(cn,[status(thm)],[33849,theory(equality)]) ).

cnf(223301,negated_conjecture,
    k8_relset_2(esk579_0,esk580_0,k4_subset_1(esk579_0,k1_xboole_0,esk582_0),esk583_0) != k8_relset_2(esk579_0,esk580_0,esk582_0,esk583_0),
    inference(rw,[status(thm)],[15948,33850,theory(equality)]) ).

cnf(223495,negated_conjecture,
    ( k8_relset_2(esk579_0,esk580_0,k3_tarski(k2_tarski(k1_xboole_0,esk582_0)),esk583_0) != k8_relset_2(esk579_0,esk580_0,esk582_0,esk583_0)
    | ~ m1_subset_1(esk582_0,u1_struct_0(k3_yellow_1(esk579_0)))
    | ~ m1_subset_1(k1_xboole_0,u1_struct_0(k3_yellow_1(esk579_0))) ),
    inference(spm,[status(thm)],[223301,17869,theory(equality)]) ).

cnf(223508,negated_conjecture,
    ( k8_relset_2(esk579_0,esk580_0,k3_tarski(k2_tarski(k1_xboole_0,esk582_0)),esk583_0) != k8_relset_2(esk579_0,esk580_0,esk582_0,esk583_0)
    | $false
    | ~ m1_subset_1(k1_xboole_0,u1_struct_0(k3_yellow_1(esk579_0))) ),
    inference(rw,[status(thm)],[223495,16542,theory(equality)]) ).

cnf(223509,negated_conjecture,
    ( k8_relset_2(esk579_0,esk580_0,k3_tarski(k2_tarski(k1_xboole_0,esk582_0)),esk583_0) != k8_relset_2(esk579_0,esk580_0,esk582_0,esk583_0)
    | $false
    | $false ),
    inference(rw,[status(thm)],[223508,16538,theory(equality)]) ).

cnf(223510,negated_conjecture,
    k8_relset_2(esk579_0,esk580_0,k3_tarski(k2_tarski(k1_xboole_0,esk582_0)),esk583_0) != k8_relset_2(esk579_0,esk580_0,esk582_0,esk583_0),
    inference(cn,[status(thm)],[223509,theory(equality)]) ).

cnf(231337,negated_conjecture,
    ~ r1_tarski(k1_xboole_0,esk582_0),
    inference(spm,[status(thm)],[223510,17808,theory(equality)]) ).

cnf(231350,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[231337,12629,theory(equality)]) ).

cnf(231351,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[231350,theory(equality)]) ).

cnf(231352,negated_conjecture,
    $false,
    231351,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU427+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/tmpGQEEpq/sel_SEU427+3.p_1 with time limit 29
% -prover status Theorem
% Problem SEU427+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU427+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU427+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
% 
%------------------------------------------------------------------------------