TSTP Solution File: SEU406+2 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SEU406+2 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art03.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 08:28:00 EST 2010

% Result   : Theorem 8.90s
% Output   : CNFRefutation 8.90s
% 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(29,axiom,
    ! [X1,X2] : k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
    file('/tmp/tmpXPfssr/sel_SEU406+2.p_1',commutativity_k2_xboole_0) ).

fof(102,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/tmpXPfssr/sel_SEU406+2.p_1',d4_xboole_0) ).

fof(271,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/tmpXPfssr/sel_SEU406+2.p_1',d2_xboole_0) ).

fof(301,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/tmpXPfssr/sel_SEU406+2.p_1',t1_latsum_1) ).

fof(302,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)],[301]) ).

fof(312,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)],[102,theory(equality)]) ).

fof(442,plain,
    ! [X3,X4] : k2_xboole_0(X3,X4) = k2_xboole_0(X4,X3),
    inference(variable_rename,[status(thm)],[29]) ).

cnf(443,plain,
    k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
    inference(split_conjunct,[status(thm)],[442]) ).

fof(709,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)],[312]) ).

fof(710,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)],[709]) ).

fof(711,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(esk13_3(X5,X6,X7),X7)
            | ~ r2_hidden(esk13_3(X5,X6,X7),X5)
            | r2_hidden(esk13_3(X5,X6,X7),X6) )
          & ( r2_hidden(esk13_3(X5,X6,X7),X7)
            | ( r2_hidden(esk13_3(X5,X6,X7),X5)
              & ~ r2_hidden(esk13_3(X5,X6,X7),X6) ) ) )
        | X7 = k4_xboole_0(X5,X6) ) ),
    inference(skolemize,[status(esa)],[710]) ).

fof(712,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(esk13_3(X5,X6,X7),X7)
            | ~ r2_hidden(esk13_3(X5,X6,X7),X5)
            | r2_hidden(esk13_3(X5,X6,X7),X6) )
          & ( r2_hidden(esk13_3(X5,X6,X7),X7)
            | ( r2_hidden(esk13_3(X5,X6,X7),X5)
              & ~ r2_hidden(esk13_3(X5,X6,X7),X6) ) ) )
        | X7 = k4_xboole_0(X5,X6) ) ),
    inference(shift_quantors,[status(thm)],[711]) ).

fof(713,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(esk13_3(X5,X6,X7),X7)
        | ~ r2_hidden(esk13_3(X5,X6,X7),X5)
        | r2_hidden(esk13_3(X5,X6,X7),X6)
        | X7 = k4_xboole_0(X5,X6) )
      & ( r2_hidden(esk13_3(X5,X6,X7),X5)
        | r2_hidden(esk13_3(X5,X6,X7),X7)
        | X7 = k4_xboole_0(X5,X6) )
      & ( ~ r2_hidden(esk13_3(X5,X6,X7),X6)
        | r2_hidden(esk13_3(X5,X6,X7),X7)
        | X7 = k4_xboole_0(X5,X6) ) ),
    inference(distribute,[status(thm)],[712]) ).

cnf(717,plain,
    ( r2_hidden(X4,X1)
    | r2_hidden(X4,X3)
    | X1 != k4_xboole_0(X2,X3)
    | ~ r2_hidden(X4,X2) ),
    inference(split_conjunct,[status(thm)],[713]) ).

fof(1388,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)],[271]) ).

fof(1389,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)],[1388]) ).

fof(1390,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(esk50_3(X5,X6,X7),X7)
            | ( ~ r2_hidden(esk50_3(X5,X6,X7),X5)
              & ~ r2_hidden(esk50_3(X5,X6,X7),X6) ) )
          & ( r2_hidden(esk50_3(X5,X6,X7),X7)
            | r2_hidden(esk50_3(X5,X6,X7),X5)
            | r2_hidden(esk50_3(X5,X6,X7),X6) ) )
        | X7 = k2_xboole_0(X5,X6) ) ),
    inference(skolemize,[status(esa)],[1389]) ).

fof(1391,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(esk50_3(X5,X6,X7),X7)
            | ( ~ r2_hidden(esk50_3(X5,X6,X7),X5)
              & ~ r2_hidden(esk50_3(X5,X6,X7),X6) ) )
          & ( r2_hidden(esk50_3(X5,X6,X7),X7)
            | r2_hidden(esk50_3(X5,X6,X7),X5)
            | r2_hidden(esk50_3(X5,X6,X7),X6) ) )
        | X7 = k2_xboole_0(X5,X6) ) ),
    inference(shift_quantors,[status(thm)],[1390]) ).

fof(1392,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(esk50_3(X5,X6,X7),X5)
        | ~ r2_hidden(esk50_3(X5,X6,X7),X7)
        | X7 = k2_xboole_0(X5,X6) )
      & ( ~ r2_hidden(esk50_3(X5,X6,X7),X6)
        | ~ r2_hidden(esk50_3(X5,X6,X7),X7)
        | X7 = k2_xboole_0(X5,X6) )
      & ( r2_hidden(esk50_3(X5,X6,X7),X7)
        | r2_hidden(esk50_3(X5,X6,X7),X5)
        | r2_hidden(esk50_3(X5,X6,X7),X6)
        | X7 = k2_xboole_0(X5,X6) ) ),
    inference(distribute,[status(thm)],[1391]) ).

cnf(1398,plain,
    ( r2_hidden(X4,X3)
    | r2_hidden(X4,X2)
    | X1 != k2_xboole_0(X2,X3)
    | ~ r2_hidden(X4,X1) ),
    inference(split_conjunct,[status(thm)],[1392]) ).

fof(1525,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)],[302]) ).

fof(1526,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)],[1525]) ).

fof(1527,negated_conjecture,
    ( r2_hidden(esk58_0,k2_xboole_0(esk60_0,esk61_0))
    & r2_hidden(esk59_0,k2_xboole_0(esk60_0,esk61_0))
    & ( ~ r2_hidden(esk58_0,k4_xboole_0(esk60_0,esk61_0))
      | ~ r2_hidden(esk59_0,k4_xboole_0(esk60_0,esk61_0)) )
    & ( ~ r2_hidden(esk58_0,esk61_0)
      | ~ r2_hidden(esk59_0,esk61_0) )
    & ( ~ r2_hidden(esk58_0,k4_xboole_0(esk60_0,esk61_0))
      | ~ r2_hidden(esk59_0,esk61_0) )
    & ( ~ r2_hidden(esk58_0,esk61_0)
      | ~ r2_hidden(esk59_0,k4_xboole_0(esk60_0,esk61_0)) ) ),
    inference(skolemize,[status(esa)],[1526]) ).

cnf(1528,negated_conjecture,
    ( ~ r2_hidden(esk59_0,k4_xboole_0(esk60_0,esk61_0))
    | ~ r2_hidden(esk58_0,esk61_0) ),
    inference(split_conjunct,[status(thm)],[1527]) ).

cnf(1529,negated_conjecture,
    ( ~ r2_hidden(esk59_0,esk61_0)
    | ~ r2_hidden(esk58_0,k4_xboole_0(esk60_0,esk61_0)) ),
    inference(split_conjunct,[status(thm)],[1527]) ).

cnf(1530,negated_conjecture,
    ( ~ r2_hidden(esk59_0,esk61_0)
    | ~ r2_hidden(esk58_0,esk61_0) ),
    inference(split_conjunct,[status(thm)],[1527]) ).

cnf(1531,negated_conjecture,
    ( ~ r2_hidden(esk59_0,k4_xboole_0(esk60_0,esk61_0))
    | ~ r2_hidden(esk58_0,k4_xboole_0(esk60_0,esk61_0)) ),
    inference(split_conjunct,[status(thm)],[1527]) ).

cnf(1532,negated_conjecture,
    r2_hidden(esk59_0,k2_xboole_0(esk60_0,esk61_0)),
    inference(split_conjunct,[status(thm)],[1527]) ).

cnf(1533,negated_conjecture,
    r2_hidden(esk58_0,k2_xboole_0(esk60_0,esk61_0)),
    inference(split_conjunct,[status(thm)],[1527]) ).

cnf(1645,negated_conjecture,
    r2_hidden(esk59_0,k2_xboole_0(esk61_0,esk60_0)),
    inference(rw,[status(thm)],[1532,443,theory(equality)]) ).

cnf(1646,negated_conjecture,
    r2_hidden(esk58_0,k2_xboole_0(esk61_0,esk60_0)),
    inference(rw,[status(thm)],[1533,443,theory(equality)]) ).

cnf(3265,plain,
    ( r2_hidden(X1,X2)
    | r2_hidden(X1,X3)
    | ~ r2_hidden(X1,k2_xboole_0(X2,X3)) ),
    inference(er,[status(thm)],[1398,theory(equality)]) ).

cnf(3283,plain,
    ( r2_hidden(X1,k4_xboole_0(X2,X3))
    | r2_hidden(X1,X3)
    | ~ r2_hidden(X1,X2) ),
    inference(er,[status(thm)],[717,theory(equality)]) ).

cnf(116015,negated_conjecture,
    ( r2_hidden(esk59_0,esk60_0)
    | r2_hidden(esk59_0,esk61_0) ),
    inference(spm,[status(thm)],[3265,1645,theory(equality)]) ).

cnf(116016,negated_conjecture,
    ( r2_hidden(esk58_0,esk60_0)
    | r2_hidden(esk58_0,esk61_0) ),
    inference(spm,[status(thm)],[3265,1646,theory(equality)]) ).

cnf(117776,negated_conjecture,
    ( r2_hidden(esk59_0,esk61_0)
    | ~ r2_hidden(esk58_0,esk61_0)
    | ~ r2_hidden(esk59_0,esk60_0) ),
    inference(spm,[status(thm)],[1528,3283,theory(equality)]) ).

cnf(117777,negated_conjecture,
    ( r2_hidden(esk58_0,esk61_0)
    | ~ r2_hidden(esk59_0,esk61_0)
    | ~ r2_hidden(esk58_0,esk60_0) ),
    inference(spm,[status(thm)],[1529,3283,theory(equality)]) ).

cnf(117778,negated_conjecture,
    ( r2_hidden(esk59_0,esk61_0)
    | ~ r2_hidden(esk58_0,k4_xboole_0(esk60_0,esk61_0))
    | ~ r2_hidden(esk59_0,esk60_0) ),
    inference(spm,[status(thm)],[1531,3283,theory(equality)]) ).

cnf(117920,negated_conjecture,
    ( r2_hidden(esk59_0,esk61_0)
    | ~ r2_hidden(esk58_0,esk61_0) ),
    inference(csr,[status(thm)],[117776,116015]) ).

cnf(117921,negated_conjecture,
    ~ r2_hidden(esk58_0,esk61_0),
    inference(csr,[status(thm)],[117920,1530]) ).

cnf(117925,negated_conjecture,
    r2_hidden(esk58_0,esk60_0),
    inference(sr,[status(thm)],[116016,117921,theory(equality)]) ).

cnf(117950,negated_conjecture,
    ( r2_hidden(esk58_0,esk61_0)
    | ~ r2_hidden(esk59_0,esk61_0)
    | $false ),
    inference(rw,[status(thm)],[117777,117925,theory(equality)]) ).

cnf(117951,negated_conjecture,
    ( r2_hidden(esk58_0,esk61_0)
    | ~ r2_hidden(esk59_0,esk61_0) ),
    inference(cn,[status(thm)],[117950,theory(equality)]) ).

cnf(117952,negated_conjecture,
    ~ r2_hidden(esk59_0,esk61_0),
    inference(sr,[status(thm)],[117951,117921,theory(equality)]) ).

cnf(117958,negated_conjecture,
    r2_hidden(esk59_0,esk60_0),
    inference(sr,[status(thm)],[116015,117952,theory(equality)]) ).

cnf(117984,negated_conjecture,
    ( r2_hidden(esk59_0,esk61_0)
    | ~ r2_hidden(esk58_0,k4_xboole_0(esk60_0,esk61_0))
    | $false ),
    inference(rw,[status(thm)],[117778,117958,theory(equality)]) ).

cnf(117985,negated_conjecture,
    ( r2_hidden(esk59_0,esk61_0)
    | ~ r2_hidden(esk58_0,k4_xboole_0(esk60_0,esk61_0)) ),
    inference(cn,[status(thm)],[117984,theory(equality)]) ).

cnf(117986,negated_conjecture,
    ~ r2_hidden(esk58_0,k4_xboole_0(esk60_0,esk61_0)),
    inference(sr,[status(thm)],[117985,117952,theory(equality)]) ).

cnf(117988,negated_conjecture,
    ( r2_hidden(esk58_0,esk61_0)
    | ~ r2_hidden(esk58_0,esk60_0) ),
    inference(spm,[status(thm)],[117986,3283,theory(equality)]) ).

cnf(117991,negated_conjecture,
    ( r2_hidden(esk58_0,esk61_0)
    | $false ),
    inference(rw,[status(thm)],[117988,117925,theory(equality)]) ).

cnf(117992,negated_conjecture,
    r2_hidden(esk58_0,esk61_0),
    inference(cn,[status(thm)],[117991,theory(equality)]) ).

cnf(117993,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[117992,117921,theory(equality)]) ).

cnf(117994,negated_conjecture,
    $false,
    117993,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU406+2.p
% --creating new selector for [SET007+3.ax, SET007+0.ax, SET007+1.ax, SET007+2.ax, SET007+4.ax, SET007+6.ax, SET007+7.ax, SET007+9.ax, SET007+10.ax, SET007+11.ax, SET007+13.ax, SET007+14.ax, SET007+16.ax, SET007+17.ax, SET007+19.ax, SET007+20.ax, SET007+24.ax, SET007+25.ax, SET007+26.ax, SET007+31.ax, SET007+35.ax, SET007+54.ax, SET007+55.ax, SET007+59.ax, SET007+60.ax, SET007+64.ax, SET007+80.ax, SET007+200.ax, SET007+205.ax, SET007+218.ax, SET007+242.ax, SET007+295.ax, SET007+335.ax, SET007+480.ax, SET007+481.ax, SET007+483.ax, SET007+484.ax, SET007+485.ax, SET007+492.ax]
% -running prover on /tmp/tmpXPfssr/sel_SEU406+2.p_1 with time limit 29
% -prover status Theorem
% Problem SEU406+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU406+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU406+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
% 
%------------------------------------------------------------------------------