TSTP Solution File: SEU406+3 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SEU406+3 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art04.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 08:28:10 EST 2010

% Result   : Theorem 17.28s
% Output   : CNFRefutation 17.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   53 (  15 unt;   0 def)
%            Number of atoms       :  280 (  36 equ)
%            Maximal formula atoms :   20 (   5 avg)
%            Number of connectives :  369 ( 142   ~; 136   |;  85   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   92 (   0 sgn  64   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(193,axiom,
    ! [X1,X2,X3] :
      ( X3 = k2_xboole_0(X1,X2)
    <=> ! [X4] :
          ( r2_hidden(X4,X3)
        <=> ( r2_hidden(X4,X1)
            | r2_hidden(X4,X2) ) ) ),
    file('/tmp/tmpmB5jZ1/sel_SEU406+3.p_1',d2_xboole_0) ).

fof(331,axiom,
    ! [X1,X2] : k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
    file('/tmp/tmpmB5jZ1/sel_SEU406+3.p_1',commutativity_k2_xboole_0) ).

fof(422,axiom,
    ! [X1,X2,X3] :
      ( X3 = k4_xboole_0(X1,X2)
    <=> ! [X4] :
          ( r2_hidden(X4,X3)
        <=> ( r2_hidden(X4,X1)
            & ~ r2_hidden(X4,X2) ) ) ),
    file('/tmp/tmpmB5jZ1/sel_SEU406+3.p_1',d4_xboole_0) ).

fof(437,conjecture,
    ! [X1,X2,X3,X4] :
      ~ ( r2_hidden(X1,k2_xboole_0(X3,X4))
        & r2_hidden(X2,k2_xboole_0(X3,X4))
        & ~ ( r2_hidden(X1,k4_xboole_0(X3,X4))
            & r2_hidden(X2,k4_xboole_0(X3,X4)) )
        & ~ ( r2_hidden(X1,X4)
            & r2_hidden(X2,X4) )
        & ~ ( r2_hidden(X1,k4_xboole_0(X3,X4))
            & r2_hidden(X2,X4) )
        & ~ ( r2_hidden(X1,X4)
            & r2_hidden(X2,k4_xboole_0(X3,X4)) ) ),
    file('/tmp/tmpmB5jZ1/sel_SEU406+3.p_1',t1_latsum_1) ).

fof(438,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ~ ( r2_hidden(X1,k2_xboole_0(X3,X4))
          & r2_hidden(X2,k2_xboole_0(X3,X4))
          & ~ ( r2_hidden(X1,k4_xboole_0(X3,X4))
              & r2_hidden(X2,k4_xboole_0(X3,X4)) )
          & ~ ( r2_hidden(X1,X4)
              & r2_hidden(X2,X4) )
          & ~ ( r2_hidden(X1,k4_xboole_0(X3,X4))
              & r2_hidden(X2,X4) )
          & ~ ( r2_hidden(X1,X4)
              & r2_hidden(X2,k4_xboole_0(X3,X4)) ) ),
    inference(assume_negation,[status(cth)],[437]) ).

fof(502,plain,
    ! [X1,X2,X3] :
      ( X3 = k4_xboole_0(X1,X2)
    <=> ! [X4] :
          ( r2_hidden(X4,X3)
        <=> ( r2_hidden(X4,X1)
            & ~ r2_hidden(X4,X2) ) ) ),
    inference(fof_simplification,[status(thm)],[422,theory(equality)]) ).

fof(1345,plain,
    ! [X1,X2,X3] :
      ( ( X3 != k2_xboole_0(X1,X2)
        | ! [X4] :
            ( ( ~ r2_hidden(X4,X3)
              | r2_hidden(X4,X1)
              | r2_hidden(X4,X2) )
            & ( ( ~ r2_hidden(X4,X1)
                & ~ r2_hidden(X4,X2) )
              | r2_hidden(X4,X3) ) ) )
      & ( ? [X4] :
            ( ( ~ r2_hidden(X4,X3)
              | ( ~ r2_hidden(X4,X1)
                & ~ r2_hidden(X4,X2) ) )
            & ( r2_hidden(X4,X3)
              | r2_hidden(X4,X1)
              | r2_hidden(X4,X2) ) )
        | X3 = k2_xboole_0(X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[193]) ).

fof(1346,plain,
    ! [X5,X6,X7] :
      ( ( X7 != k2_xboole_0(X5,X6)
        | ! [X8] :
            ( ( ~ r2_hidden(X8,X7)
              | r2_hidden(X8,X5)
              | r2_hidden(X8,X6) )
            & ( ( ~ r2_hidden(X8,X5)
                & ~ r2_hidden(X8,X6) )
              | r2_hidden(X8,X7) ) ) )
      & ( ? [X9] :
            ( ( ~ r2_hidden(X9,X7)
              | ( ~ r2_hidden(X9,X5)
                & ~ r2_hidden(X9,X6) ) )
            & ( r2_hidden(X9,X7)
              | r2_hidden(X9,X5)
              | r2_hidden(X9,X6) ) )
        | X7 = k2_xboole_0(X5,X6) ) ),
    inference(variable_rename,[status(thm)],[1345]) ).

fof(1347,plain,
    ! [X5,X6,X7] :
      ( ( X7 != k2_xboole_0(X5,X6)
        | ! [X8] :
            ( ( ~ r2_hidden(X8,X7)
              | r2_hidden(X8,X5)
              | r2_hidden(X8,X6) )
            & ( ( ~ r2_hidden(X8,X5)
                & ~ r2_hidden(X8,X6) )
              | r2_hidden(X8,X7) ) ) )
      & ( ( ( ~ r2_hidden(esk82_3(X5,X6,X7),X7)
            | ( ~ r2_hidden(esk82_3(X5,X6,X7),X5)
              & ~ r2_hidden(esk82_3(X5,X6,X7),X6) ) )
          & ( r2_hidden(esk82_3(X5,X6,X7),X7)
            | r2_hidden(esk82_3(X5,X6,X7),X5)
            | r2_hidden(esk82_3(X5,X6,X7),X6) ) )
        | X7 = k2_xboole_0(X5,X6) ) ),
    inference(skolemize,[status(esa)],[1346]) ).

fof(1348,plain,
    ! [X5,X6,X7,X8] :
      ( ( ( ( ~ r2_hidden(X8,X7)
            | r2_hidden(X8,X5)
            | r2_hidden(X8,X6) )
          & ( ( ~ r2_hidden(X8,X5)
              & ~ r2_hidden(X8,X6) )
            | r2_hidden(X8,X7) ) )
        | X7 != k2_xboole_0(X5,X6) )
      & ( ( ( ~ r2_hidden(esk82_3(X5,X6,X7),X7)
            | ( ~ r2_hidden(esk82_3(X5,X6,X7),X5)
              & ~ r2_hidden(esk82_3(X5,X6,X7),X6) ) )
          & ( r2_hidden(esk82_3(X5,X6,X7),X7)
            | r2_hidden(esk82_3(X5,X6,X7),X5)
            | r2_hidden(esk82_3(X5,X6,X7),X6) ) )
        | X7 = k2_xboole_0(X5,X6) ) ),
    inference(shift_quantors,[status(thm)],[1347]) ).

fof(1349,plain,
    ! [X5,X6,X7,X8] :
      ( ( ~ r2_hidden(X8,X7)
        | r2_hidden(X8,X5)
        | r2_hidden(X8,X6)
        | X7 != k2_xboole_0(X5,X6) )
      & ( ~ r2_hidden(X8,X5)
        | r2_hidden(X8,X7)
        | X7 != k2_xboole_0(X5,X6) )
      & ( ~ r2_hidden(X8,X6)
        | r2_hidden(X8,X7)
        | X7 != k2_xboole_0(X5,X6) )
      & ( ~ r2_hidden(esk82_3(X5,X6,X7),X5)
        | ~ r2_hidden(esk82_3(X5,X6,X7),X7)
        | X7 = k2_xboole_0(X5,X6) )
      & ( ~ r2_hidden(esk82_3(X5,X6,X7),X6)
        | ~ r2_hidden(esk82_3(X5,X6,X7),X7)
        | X7 = k2_xboole_0(X5,X6) )
      & ( r2_hidden(esk82_3(X5,X6,X7),X7)
        | r2_hidden(esk82_3(X5,X6,X7),X5)
        | r2_hidden(esk82_3(X5,X6,X7),X6)
        | X7 = k2_xboole_0(X5,X6) ) ),
    inference(distribute,[status(thm)],[1348]) ).

cnf(1355,plain,
    ( r2_hidden(X4,X3)
    | r2_hidden(X4,X2)
    | X1 != k2_xboole_0(X2,X3)
    | ~ r2_hidden(X4,X1) ),
    inference(split_conjunct,[status(thm)],[1349]) ).

fof(1942,plain,
    ! [X3,X4] : k2_xboole_0(X3,X4) = k2_xboole_0(X4,X3),
    inference(variable_rename,[status(thm)],[331]) ).

cnf(1943,plain,
    k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
    inference(split_conjunct,[status(thm)],[1942]) ).

fof(2361,plain,
    ! [X1,X2,X3] :
      ( ( X3 != k4_xboole_0(X1,X2)
        | ! [X4] :
            ( ( ~ r2_hidden(X4,X3)
              | ( r2_hidden(X4,X1)
                & ~ r2_hidden(X4,X2) ) )
            & ( ~ r2_hidden(X4,X1)
              | r2_hidden(X4,X2)
              | r2_hidden(X4,X3) ) ) )
      & ( ? [X4] :
            ( ( ~ r2_hidden(X4,X3)
              | ~ r2_hidden(X4,X1)
              | r2_hidden(X4,X2) )
            & ( r2_hidden(X4,X3)
              | ( r2_hidden(X4,X1)
                & ~ r2_hidden(X4,X2) ) ) )
        | X3 = k4_xboole_0(X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[502]) ).

fof(2362,plain,
    ! [X5,X6,X7] :
      ( ( X7 != k4_xboole_0(X5,X6)
        | ! [X8] :
            ( ( ~ r2_hidden(X8,X7)
              | ( r2_hidden(X8,X5)
                & ~ r2_hidden(X8,X6) ) )
            & ( ~ r2_hidden(X8,X5)
              | r2_hidden(X8,X6)
              | r2_hidden(X8,X7) ) ) )
      & ( ? [X9] :
            ( ( ~ r2_hidden(X9,X7)
              | ~ r2_hidden(X9,X5)
              | r2_hidden(X9,X6) )
            & ( r2_hidden(X9,X7)
              | ( r2_hidden(X9,X5)
                & ~ r2_hidden(X9,X6) ) ) )
        | X7 = k4_xboole_0(X5,X6) ) ),
    inference(variable_rename,[status(thm)],[2361]) ).

fof(2363,plain,
    ! [X5,X6,X7] :
      ( ( X7 != k4_xboole_0(X5,X6)
        | ! [X8] :
            ( ( ~ r2_hidden(X8,X7)
              | ( r2_hidden(X8,X5)
                & ~ r2_hidden(X8,X6) ) )
            & ( ~ r2_hidden(X8,X5)
              | r2_hidden(X8,X6)
              | r2_hidden(X8,X7) ) ) )
      & ( ( ( ~ r2_hidden(esk157_3(X5,X6,X7),X7)
            | ~ r2_hidden(esk157_3(X5,X6,X7),X5)
            | r2_hidden(esk157_3(X5,X6,X7),X6) )
          & ( r2_hidden(esk157_3(X5,X6,X7),X7)
            | ( r2_hidden(esk157_3(X5,X6,X7),X5)
              & ~ r2_hidden(esk157_3(X5,X6,X7),X6) ) ) )
        | X7 = k4_xboole_0(X5,X6) ) ),
    inference(skolemize,[status(esa)],[2362]) ).

fof(2364,plain,
    ! [X5,X6,X7,X8] :
      ( ( ( ( ~ r2_hidden(X8,X7)
            | ( r2_hidden(X8,X5)
              & ~ r2_hidden(X8,X6) ) )
          & ( ~ r2_hidden(X8,X5)
            | r2_hidden(X8,X6)
            | r2_hidden(X8,X7) ) )
        | X7 != k4_xboole_0(X5,X6) )
      & ( ( ( ~ r2_hidden(esk157_3(X5,X6,X7),X7)
            | ~ r2_hidden(esk157_3(X5,X6,X7),X5)
            | r2_hidden(esk157_3(X5,X6,X7),X6) )
          & ( r2_hidden(esk157_3(X5,X6,X7),X7)
            | ( r2_hidden(esk157_3(X5,X6,X7),X5)
              & ~ r2_hidden(esk157_3(X5,X6,X7),X6) ) ) )
        | X7 = k4_xboole_0(X5,X6) ) ),
    inference(shift_quantors,[status(thm)],[2363]) ).

fof(2365,plain,
    ! [X5,X6,X7,X8] :
      ( ( r2_hidden(X8,X5)
        | ~ r2_hidden(X8,X7)
        | X7 != k4_xboole_0(X5,X6) )
      & ( ~ r2_hidden(X8,X6)
        | ~ r2_hidden(X8,X7)
        | X7 != k4_xboole_0(X5,X6) )
      & ( ~ r2_hidden(X8,X5)
        | r2_hidden(X8,X6)
        | r2_hidden(X8,X7)
        | X7 != k4_xboole_0(X5,X6) )
      & ( ~ r2_hidden(esk157_3(X5,X6,X7),X7)
        | ~ r2_hidden(esk157_3(X5,X6,X7),X5)
        | r2_hidden(esk157_3(X5,X6,X7),X6)
        | X7 = k4_xboole_0(X5,X6) )
      & ( r2_hidden(esk157_3(X5,X6,X7),X5)
        | r2_hidden(esk157_3(X5,X6,X7),X7)
        | X7 = k4_xboole_0(X5,X6) )
      & ( ~ r2_hidden(esk157_3(X5,X6,X7),X6)
        | r2_hidden(esk157_3(X5,X6,X7),X7)
        | X7 = k4_xboole_0(X5,X6) ) ),
    inference(distribute,[status(thm)],[2364]) ).

cnf(2369,plain,
    ( r2_hidden(X4,X1)
    | r2_hidden(X4,X3)
    | X1 != k4_xboole_0(X2,X3)
    | ~ r2_hidden(X4,X2) ),
    inference(split_conjunct,[status(thm)],[2365]) ).

fof(2433,negated_conjecture,
    ? [X1,X2,X3,X4] :
      ( r2_hidden(X1,k2_xboole_0(X3,X4))
      & r2_hidden(X2,k2_xboole_0(X3,X4))
      & ( ~ r2_hidden(X1,k4_xboole_0(X3,X4))
        | ~ r2_hidden(X2,k4_xboole_0(X3,X4)) )
      & ( ~ r2_hidden(X1,X4)
        | ~ r2_hidden(X2,X4) )
      & ( ~ r2_hidden(X1,k4_xboole_0(X3,X4))
        | ~ r2_hidden(X2,X4) )
      & ( ~ r2_hidden(X1,X4)
        | ~ r2_hidden(X2,k4_xboole_0(X3,X4)) ) ),
    inference(fof_nnf,[status(thm)],[438]) ).

fof(2434,negated_conjecture,
    ? [X5,X6,X7,X8] :
      ( r2_hidden(X5,k2_xboole_0(X7,X8))
      & r2_hidden(X6,k2_xboole_0(X7,X8))
      & ( ~ r2_hidden(X5,k4_xboole_0(X7,X8))
        | ~ r2_hidden(X6,k4_xboole_0(X7,X8)) )
      & ( ~ r2_hidden(X5,X8)
        | ~ r2_hidden(X6,X8) )
      & ( ~ r2_hidden(X5,k4_xboole_0(X7,X8))
        | ~ r2_hidden(X6,X8) )
      & ( ~ r2_hidden(X5,X8)
        | ~ r2_hidden(X6,k4_xboole_0(X7,X8)) ) ),
    inference(variable_rename,[status(thm)],[2433]) ).

fof(2435,negated_conjecture,
    ( r2_hidden(esk162_0,k2_xboole_0(esk164_0,esk165_0))
    & r2_hidden(esk163_0,k2_xboole_0(esk164_0,esk165_0))
    & ( ~ r2_hidden(esk162_0,k4_xboole_0(esk164_0,esk165_0))
      | ~ r2_hidden(esk163_0,k4_xboole_0(esk164_0,esk165_0)) )
    & ( ~ r2_hidden(esk162_0,esk165_0)
      | ~ r2_hidden(esk163_0,esk165_0) )
    & ( ~ r2_hidden(esk162_0,k4_xboole_0(esk164_0,esk165_0))
      | ~ r2_hidden(esk163_0,esk165_0) )
    & ( ~ r2_hidden(esk162_0,esk165_0)
      | ~ r2_hidden(esk163_0,k4_xboole_0(esk164_0,esk165_0)) ) ),
    inference(skolemize,[status(esa)],[2434]) ).

cnf(2436,negated_conjecture,
    ( ~ r2_hidden(esk163_0,k4_xboole_0(esk164_0,esk165_0))
    | ~ r2_hidden(esk162_0,esk165_0) ),
    inference(split_conjunct,[status(thm)],[2435]) ).

cnf(2437,negated_conjecture,
    ( ~ r2_hidden(esk163_0,esk165_0)
    | ~ r2_hidden(esk162_0,k4_xboole_0(esk164_0,esk165_0)) ),
    inference(split_conjunct,[status(thm)],[2435]) ).

cnf(2438,negated_conjecture,
    ( ~ r2_hidden(esk163_0,esk165_0)
    | ~ r2_hidden(esk162_0,esk165_0) ),
    inference(split_conjunct,[status(thm)],[2435]) ).

cnf(2439,negated_conjecture,
    ( ~ r2_hidden(esk163_0,k4_xboole_0(esk164_0,esk165_0))
    | ~ r2_hidden(esk162_0,k4_xboole_0(esk164_0,esk165_0)) ),
    inference(split_conjunct,[status(thm)],[2435]) ).

cnf(2440,negated_conjecture,
    r2_hidden(esk163_0,k2_xboole_0(esk164_0,esk165_0)),
    inference(split_conjunct,[status(thm)],[2435]) ).

cnf(2441,negated_conjecture,
    r2_hidden(esk162_0,k2_xboole_0(esk164_0,esk165_0)),
    inference(split_conjunct,[status(thm)],[2435]) ).

cnf(2599,negated_conjecture,
    r2_hidden(esk163_0,k2_xboole_0(esk165_0,esk164_0)),
    inference(rw,[status(thm)],[2440,1943,theory(equality)]) ).

cnf(2600,negated_conjecture,
    r2_hidden(esk162_0,k2_xboole_0(esk165_0,esk164_0)),
    inference(rw,[status(thm)],[2441,1943,theory(equality)]) ).

cnf(4650,plain,
    ( r2_hidden(X1,X2)
    | r2_hidden(X1,X3)
    | ~ r2_hidden(X1,k2_xboole_0(X2,X3)) ),
    inference(er,[status(thm)],[1355,theory(equality)]) ).

cnf(4668,plain,
    ( r2_hidden(X1,k4_xboole_0(X2,X3))
    | r2_hidden(X1,X3)
    | ~ r2_hidden(X1,X2) ),
    inference(er,[status(thm)],[2369,theory(equality)]) ).

cnf(154558,negated_conjecture,
    ( r2_hidden(esk163_0,esk164_0)
    | r2_hidden(esk163_0,esk165_0) ),
    inference(spm,[status(thm)],[4650,2599,theory(equality)]) ).

cnf(154559,negated_conjecture,
    ( r2_hidden(esk162_0,esk164_0)
    | r2_hidden(esk162_0,esk165_0) ),
    inference(spm,[status(thm)],[4650,2600,theory(equality)]) ).

cnf(156529,negated_conjecture,
    ( r2_hidden(esk163_0,esk165_0)
    | ~ r2_hidden(esk162_0,esk165_0)
    | ~ r2_hidden(esk163_0,esk164_0) ),
    inference(spm,[status(thm)],[2436,4668,theory(equality)]) ).

cnf(156530,negated_conjecture,
    ( r2_hidden(esk162_0,esk165_0)
    | ~ r2_hidden(esk163_0,esk165_0)
    | ~ r2_hidden(esk162_0,esk164_0) ),
    inference(spm,[status(thm)],[2437,4668,theory(equality)]) ).

cnf(156531,negated_conjecture,
    ( r2_hidden(esk163_0,esk165_0)
    | ~ r2_hidden(esk162_0,k4_xboole_0(esk164_0,esk165_0))
    | ~ r2_hidden(esk163_0,esk164_0) ),
    inference(spm,[status(thm)],[2439,4668,theory(equality)]) ).

cnf(156711,negated_conjecture,
    ( r2_hidden(esk163_0,esk165_0)
    | ~ r2_hidden(esk162_0,esk165_0) ),
    inference(csr,[status(thm)],[156529,154558]) ).

cnf(156712,negated_conjecture,
    ~ r2_hidden(esk162_0,esk165_0),
    inference(csr,[status(thm)],[156711,2438]) ).

cnf(156715,negated_conjecture,
    r2_hidden(esk162_0,esk164_0),
    inference(sr,[status(thm)],[154559,156712,theory(equality)]) ).

cnf(156743,negated_conjecture,
    ( r2_hidden(esk162_0,esk165_0)
    | ~ r2_hidden(esk163_0,esk165_0)
    | $false ),
    inference(rw,[status(thm)],[156530,156715,theory(equality)]) ).

cnf(156744,negated_conjecture,
    ( r2_hidden(esk162_0,esk165_0)
    | ~ r2_hidden(esk163_0,esk165_0) ),
    inference(cn,[status(thm)],[156743,theory(equality)]) ).

cnf(156745,negated_conjecture,
    ~ r2_hidden(esk163_0,esk165_0),
    inference(sr,[status(thm)],[156744,156712,theory(equality)]) ).

cnf(156749,negated_conjecture,
    r2_hidden(esk163_0,esk164_0),
    inference(sr,[status(thm)],[154558,156745,theory(equality)]) ).

cnf(156778,negated_conjecture,
    ( r2_hidden(esk163_0,esk165_0)
    | ~ r2_hidden(esk162_0,k4_xboole_0(esk164_0,esk165_0))
    | $false ),
    inference(rw,[status(thm)],[156531,156749,theory(equality)]) ).

cnf(156779,negated_conjecture,
    ( r2_hidden(esk163_0,esk165_0)
    | ~ r2_hidden(esk162_0,k4_xboole_0(esk164_0,esk165_0)) ),
    inference(cn,[status(thm)],[156778,theory(equality)]) ).

cnf(156780,negated_conjecture,
    ~ r2_hidden(esk162_0,k4_xboole_0(esk164_0,esk165_0)),
    inference(sr,[status(thm)],[156779,156745,theory(equality)]) ).

cnf(156782,negated_conjecture,
    ( r2_hidden(esk162_0,esk165_0)
    | ~ r2_hidden(esk162_0,esk164_0) ),
    inference(spm,[status(thm)],[156780,4668,theory(equality)]) ).

cnf(156785,negated_conjecture,
    ( r2_hidden(esk162_0,esk165_0)
    | $false ),
    inference(rw,[status(thm)],[156782,156715,theory(equality)]) ).

cnf(156786,negated_conjecture,
    r2_hidden(esk162_0,esk165_0),
    inference(cn,[status(thm)],[156785,theory(equality)]) ).

cnf(156787,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[156786,156712,theory(equality)]) ).

cnf(156788,negated_conjecture,
    $false,
    156787,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU406+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]
% -running prover on /tmp/tmpmB5jZ1/sel_SEU406+3.p_1 with time limit 29
% -prover status Theorem
% Problem SEU406+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU406+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU406+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
% 
%------------------------------------------------------------------------------