TSTP Solution File: SEU280+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SEU280+1 : TPTP v5.0.0. Released v3.3.0.
% 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 06:42:13 EST 2010

% Result   : Theorem 0.28s
% Output   : CNFRefutation 0.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   70 (   6 unt;   0 def)
%            Number of atoms       :  323 ( 111 equ)
%            Maximal formula atoms :   70 (   4 avg)
%            Number of connectives :  380 ( 127   ~; 186   |;  62   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-2 aty)
%            Number of variables   :   94 (   0 sgn  28   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(2,axiom,
    ! [X1] :
      ( ! [X2,X3,X4] :
          ( ( X2 = X3
            & ordinal(X3)
            & X2 = X4
            & ordinal(X4) )
         => X3 = X4 )
     => ? [X2] :
        ! [X3] :
          ( in(X3,X2)
        <=> ? [X4] :
              ( in(X4,X1)
              & X4 = X3
              & ordinal(X3) ) ) ),
    file('/tmp/tmphG5AgA/sel_SEU280+1.p_1',s1_tarski__e6_22__wellord2__1) ).

fof(5,conjecture,
    ! [X1] :
    ? [X2] :
    ! [X3] :
      ( in(X3,X2)
    <=> ( in(X3,X1)
        & ordinal(X3) ) ),
    file('/tmp/tmphG5AgA/sel_SEU280+1.p_1',s1_xboole_0__e6_22__wellord2) ).

fof(7,negated_conjecture,
    ~ ! [X1] :
      ? [X2] :
      ! [X3] :
        ( in(X3,X2)
      <=> ( in(X3,X1)
          & ordinal(X3) ) ),
    inference(assume_negation,[status(cth)],[5]) ).

fof(14,plain,
    ! [X1] :
      ( ? [X2,X3,X4] :
          ( X2 = X3
          & ordinal(X3)
          & X2 = X4
          & ordinal(X4)
          & X3 != X4 )
      | ? [X2] :
        ! [X3] :
          ( ( ~ in(X3,X2)
            | ? [X4] :
                ( in(X4,X1)
                & X4 = X3
                & ordinal(X3) ) )
          & ( ! [X4] :
                ( ~ in(X4,X1)
                | X4 != X3
                | ~ ordinal(X3) )
            | in(X3,X2) ) ) ),
    inference(fof_nnf,[status(thm)],[2]) ).

fof(15,plain,
    ! [X5] :
      ( ? [X6,X7,X8] :
          ( X6 = X7
          & ordinal(X7)
          & X6 = X8
          & ordinal(X8)
          & X7 != X8 )
      | ? [X9] :
        ! [X10] :
          ( ( ~ in(X10,X9)
            | ? [X11] :
                ( in(X11,X5)
                & X11 = X10
                & ordinal(X10) ) )
          & ( ! [X12] :
                ( ~ in(X12,X5)
                | X12 != X10
                | ~ ordinal(X10) )
            | in(X10,X9) ) ) ),
    inference(variable_rename,[status(thm)],[14]) ).

fof(16,plain,
    ! [X5] :
      ( ( esk2_1(X5) = esk3_1(X5)
        & ordinal(esk3_1(X5))
        & esk2_1(X5) = esk4_1(X5)
        & ordinal(esk4_1(X5))
        & esk3_1(X5) != esk4_1(X5) )
      | ! [X10] :
          ( ( ~ in(X10,esk5_1(X5))
            | ( in(esk6_2(X5,X10),X5)
              & esk6_2(X5,X10) = X10
              & ordinal(X10) ) )
          & ( ! [X12] :
                ( ~ in(X12,X5)
                | X12 != X10
                | ~ ordinal(X10) )
            | in(X10,esk5_1(X5)) ) ) ),
    inference(skolemize,[status(esa)],[15]) ).

fof(17,plain,
    ! [X5,X10,X12] :
      ( ( ( ~ in(X12,X5)
          | X12 != X10
          | ~ ordinal(X10)
          | in(X10,esk5_1(X5)) )
        & ( ~ in(X10,esk5_1(X5))
          | ( in(esk6_2(X5,X10),X5)
            & esk6_2(X5,X10) = X10
            & ordinal(X10) ) ) )
      | ( esk2_1(X5) = esk3_1(X5)
        & ordinal(esk3_1(X5))
        & esk2_1(X5) = esk4_1(X5)
        & ordinal(esk4_1(X5))
        & esk3_1(X5) != esk4_1(X5) ) ),
    inference(shift_quantors,[status(thm)],[16]) ).

fof(18,plain,
    ! [X5,X10,X12] :
      ( ( esk2_1(X5) = esk3_1(X5)
        | ~ in(X12,X5)
        | X12 != X10
        | ~ ordinal(X10)
        | in(X10,esk5_1(X5)) )
      & ( ordinal(esk3_1(X5))
        | ~ in(X12,X5)
        | X12 != X10
        | ~ ordinal(X10)
        | in(X10,esk5_1(X5)) )
      & ( esk2_1(X5) = esk4_1(X5)
        | ~ in(X12,X5)
        | X12 != X10
        | ~ ordinal(X10)
        | in(X10,esk5_1(X5)) )
      & ( ordinal(esk4_1(X5))
        | ~ in(X12,X5)
        | X12 != X10
        | ~ ordinal(X10)
        | in(X10,esk5_1(X5)) )
      & ( esk3_1(X5) != esk4_1(X5)
        | ~ in(X12,X5)
        | X12 != X10
        | ~ ordinal(X10)
        | in(X10,esk5_1(X5)) )
      & ( esk2_1(X5) = esk3_1(X5)
        | in(esk6_2(X5,X10),X5)
        | ~ in(X10,esk5_1(X5)) )
      & ( ordinal(esk3_1(X5))
        | in(esk6_2(X5,X10),X5)
        | ~ in(X10,esk5_1(X5)) )
      & ( esk2_1(X5) = esk4_1(X5)
        | in(esk6_2(X5,X10),X5)
        | ~ in(X10,esk5_1(X5)) )
      & ( ordinal(esk4_1(X5))
        | in(esk6_2(X5,X10),X5)
        | ~ in(X10,esk5_1(X5)) )
      & ( esk3_1(X5) != esk4_1(X5)
        | in(esk6_2(X5,X10),X5)
        | ~ in(X10,esk5_1(X5)) )
      & ( esk2_1(X5) = esk3_1(X5)
        | esk6_2(X5,X10) = X10
        | ~ in(X10,esk5_1(X5)) )
      & ( ordinal(esk3_1(X5))
        | esk6_2(X5,X10) = X10
        | ~ in(X10,esk5_1(X5)) )
      & ( esk2_1(X5) = esk4_1(X5)
        | esk6_2(X5,X10) = X10
        | ~ in(X10,esk5_1(X5)) )
      & ( ordinal(esk4_1(X5))
        | esk6_2(X5,X10) = X10
        | ~ in(X10,esk5_1(X5)) )
      & ( esk3_1(X5) != esk4_1(X5)
        | esk6_2(X5,X10) = X10
        | ~ in(X10,esk5_1(X5)) )
      & ( esk2_1(X5) = esk3_1(X5)
        | ordinal(X10)
        | ~ in(X10,esk5_1(X5)) )
      & ( ordinal(esk3_1(X5))
        | ordinal(X10)
        | ~ in(X10,esk5_1(X5)) )
      & ( esk2_1(X5) = esk4_1(X5)
        | ordinal(X10)
        | ~ in(X10,esk5_1(X5)) )
      & ( ordinal(esk4_1(X5))
        | ordinal(X10)
        | ~ in(X10,esk5_1(X5)) )
      & ( esk3_1(X5) != esk4_1(X5)
        | ordinal(X10)
        | ~ in(X10,esk5_1(X5)) ) ),
    inference(distribute,[status(thm)],[17]) ).

cnf(19,plain,
    ( ordinal(X1)
    | ~ in(X1,esk5_1(X2))
    | esk3_1(X2) != esk4_1(X2) ),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(21,plain,
    ( ordinal(X1)
    | esk2_1(X2) = esk4_1(X2)
    | ~ in(X1,esk5_1(X2)) ),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(23,plain,
    ( ordinal(X1)
    | esk2_1(X2) = esk3_1(X2)
    | ~ in(X1,esk5_1(X2)) ),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(24,plain,
    ( esk6_2(X2,X1) = X1
    | ~ in(X1,esk5_1(X2))
    | esk3_1(X2) != esk4_1(X2) ),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(26,plain,
    ( esk6_2(X2,X1) = X1
    | esk2_1(X2) = esk4_1(X2)
    | ~ in(X1,esk5_1(X2)) ),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(28,plain,
    ( esk6_2(X2,X1) = X1
    | esk2_1(X2) = esk3_1(X2)
    | ~ in(X1,esk5_1(X2)) ),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(29,plain,
    ( in(esk6_2(X2,X1),X2)
    | ~ in(X1,esk5_1(X2))
    | esk3_1(X2) != esk4_1(X2) ),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(31,plain,
    ( in(esk6_2(X2,X1),X2)
    | esk2_1(X2) = esk4_1(X2)
    | ~ in(X1,esk5_1(X2)) ),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(33,plain,
    ( in(esk6_2(X2,X1),X2)
    | esk2_1(X2) = esk3_1(X2)
    | ~ in(X1,esk5_1(X2)) ),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(34,plain,
    ( in(X1,esk5_1(X2))
    | ~ ordinal(X1)
    | X3 != X1
    | ~ in(X3,X2)
    | esk3_1(X2) != esk4_1(X2) ),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(36,plain,
    ( in(X1,esk5_1(X2))
    | esk2_1(X2) = esk4_1(X2)
    | ~ ordinal(X1)
    | X3 != X1
    | ~ in(X3,X2) ),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(38,plain,
    ( in(X1,esk5_1(X2))
    | esk2_1(X2) = esk3_1(X2)
    | ~ ordinal(X1)
    | X3 != X1
    | ~ in(X3,X2) ),
    inference(split_conjunct,[status(thm)],[18]) ).

fof(47,negated_conjecture,
    ? [X1] :
    ! [X2] :
    ? [X3] :
      ( ( ~ in(X3,X2)
        | ~ in(X3,X1)
        | ~ ordinal(X3) )
      & ( in(X3,X2)
        | ( in(X3,X1)
          & ordinal(X3) ) ) ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(48,negated_conjecture,
    ? [X4] :
    ! [X5] :
    ? [X6] :
      ( ( ~ in(X6,X5)
        | ~ in(X6,X4)
        | ~ ordinal(X6) )
      & ( in(X6,X5)
        | ( in(X6,X4)
          & ordinal(X6) ) ) ),
    inference(variable_rename,[status(thm)],[47]) ).

fof(49,negated_conjecture,
    ! [X5] :
      ( ( ~ in(esk8_1(X5),X5)
        | ~ in(esk8_1(X5),esk7_0)
        | ~ ordinal(esk8_1(X5)) )
      & ( in(esk8_1(X5),X5)
        | ( in(esk8_1(X5),esk7_0)
          & ordinal(esk8_1(X5)) ) ) ),
    inference(skolemize,[status(esa)],[48]) ).

fof(50,negated_conjecture,
    ! [X5] :
      ( ( ~ in(esk8_1(X5),X5)
        | ~ in(esk8_1(X5),esk7_0)
        | ~ ordinal(esk8_1(X5)) )
      & ( in(esk8_1(X5),esk7_0)
        | in(esk8_1(X5),X5) )
      & ( ordinal(esk8_1(X5))
        | in(esk8_1(X5),X5) ) ),
    inference(distribute,[status(thm)],[49]) ).

cnf(51,negated_conjecture,
    ( in(esk8_1(X1),X1)
    | ordinal(esk8_1(X1)) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(52,negated_conjecture,
    ( in(esk8_1(X1),X1)
    | in(esk8_1(X1),esk7_0) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(53,negated_conjecture,
    ( ~ ordinal(esk8_1(X1))
    | ~ in(esk8_1(X1),esk7_0)
    | ~ in(esk8_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(73,negated_conjecture,
    ( esk2_1(X1) = esk3_1(X1)
    | ordinal(esk8_1(esk5_1(X1))) ),
    inference(spm,[status(thm)],[23,51,theory(equality)]) ).

cnf(77,negated_conjecture,
    ( ordinal(esk8_1(esk5_1(X1)))
    | esk4_1(X1) != esk3_1(X1) ),
    inference(spm,[status(thm)],[19,51,theory(equality)]) ).

cnf(107,plain,
    ( in(X2,X1)
    | esk4_1(X1) != esk3_1(X1)
    | ~ in(X2,esk5_1(X1)) ),
    inference(spm,[status(thm)],[29,24,theory(equality)]) ).

cnf(108,plain,
    ( in(X1,esk5_1(X2))
    | esk4_1(X2) != esk3_1(X2)
    | ~ in(X1,X2)
    | ~ ordinal(X1) ),
    inference(er,[status(thm)],[34,theory(equality)]) ).

cnf(130,plain,
    ( esk2_1(X1) = esk3_1(X1)
    | in(X2,esk5_1(X1))
    | ~ in(X2,X1)
    | ~ ordinal(X2) ),
    inference(er,[status(thm)],[38,theory(equality)]) ).

cnf(142,plain,
    ( esk2_1(X1) = esk4_1(X1)
    | in(X2,esk5_1(X1))
    | ~ in(X2,X1)
    | ~ ordinal(X2) ),
    inference(er,[status(thm)],[36,theory(equality)]) ).

cnf(165,negated_conjecture,
    ( in(esk8_1(esk5_1(X1)),X1)
    | in(esk8_1(esk5_1(X1)),esk7_0)
    | esk4_1(X1) != esk3_1(X1) ),
    inference(spm,[status(thm)],[107,52,theory(equality)]) ).

cnf(487,negated_conjecture,
    ( ~ in(esk8_1(esk5_1(X1)),esk7_0)
    | ~ ordinal(esk8_1(esk5_1(X1)))
    | esk4_1(X1) != esk3_1(X1)
    | ~ in(esk8_1(esk5_1(X1)),X1) ),
    inference(spm,[status(thm)],[53,108,theory(equality)]) ).

cnf(539,negated_conjecture,
    ( esk4_1(X1) != esk3_1(X1)
    | ~ in(esk8_1(esk5_1(X1)),esk7_0)
    | ~ in(esk8_1(esk5_1(X1)),X1) ),
    inference(csr,[status(thm)],[487,77]) ).

cnf(562,negated_conjecture,
    ( esk2_1(esk7_0) = esk3_1(esk7_0)
    | in(esk8_1(X1),esk5_1(esk7_0))
    | in(esk8_1(X1),X1)
    | ~ ordinal(esk8_1(X1)) ),
    inference(spm,[status(thm)],[130,52,theory(equality)]) ).

cnf(582,negated_conjecture,
    ( esk2_1(esk7_0) = esk3_1(esk7_0)
    | in(esk8_1(X1),esk5_1(esk7_0))
    | in(esk8_1(X1),X1) ),
    inference(csr,[status(thm)],[562,51]) ).

cnf(583,negated_conjecture,
    ( esk2_1(esk7_0) = esk3_1(esk7_0)
    | in(esk8_1(esk5_1(esk7_0)),esk5_1(esk7_0)) ),
    inference(ef,[status(thm)],[582,theory(equality)]) ).

cnf(630,negated_conjecture,
    ( esk2_1(esk7_0) = esk3_1(esk7_0)
    | ~ in(esk8_1(esk5_1(esk7_0)),esk7_0)
    | ~ ordinal(esk8_1(esk5_1(esk7_0))) ),
    inference(spm,[status(thm)],[53,583,theory(equality)]) ).

cnf(636,negated_conjecture,
    ( esk2_1(esk7_0) = esk3_1(esk7_0)
    | esk6_2(esk7_0,esk8_1(esk5_1(esk7_0))) = esk8_1(esk5_1(esk7_0)) ),
    inference(spm,[status(thm)],[28,583,theory(equality)]) ).

cnf(653,negated_conjecture,
    ( esk2_1(esk7_0) = esk3_1(esk7_0)
    | ~ in(esk8_1(esk5_1(esk7_0)),esk7_0) ),
    inference(csr,[status(thm)],[630,73]) ).

cnf(664,negated_conjecture,
    ( esk2_1(esk7_0) = esk3_1(esk7_0)
    | in(esk8_1(esk5_1(esk7_0)),esk7_0)
    | ~ in(esk8_1(esk5_1(esk7_0)),esk5_1(esk7_0)) ),
    inference(spm,[status(thm)],[33,636,theory(equality)]) ).

cnf(684,negated_conjecture,
    ( esk2_1(esk7_0) = esk3_1(esk7_0)
    | in(esk8_1(esk5_1(esk7_0)),esk7_0) ),
    inference(csr,[status(thm)],[664,52]) ).

cnf(685,negated_conjecture,
    esk2_1(esk7_0) = esk3_1(esk7_0),
    inference(csr,[status(thm)],[684,653]) ).

cnf(728,negated_conjecture,
    ( esk2_1(esk7_0) = esk4_1(esk7_0)
    | in(esk8_1(X1),esk5_1(esk7_0))
    | in(esk8_1(X1),X1)
    | ~ ordinal(esk8_1(X1)) ),
    inference(spm,[status(thm)],[142,52,theory(equality)]) ).

cnf(750,negated_conjecture,
    ( esk3_1(esk7_0) = esk4_1(esk7_0)
    | in(esk8_1(X1),esk5_1(esk7_0))
    | in(esk8_1(X1),X1)
    | ~ ordinal(esk8_1(X1)) ),
    inference(rw,[status(thm)],[728,685,theory(equality)]) ).

cnf(753,negated_conjecture,
    ( esk4_1(esk7_0) = esk3_1(esk7_0)
    | in(esk8_1(X1),esk5_1(esk7_0))
    | in(esk8_1(X1),X1) ),
    inference(csr,[status(thm)],[750,51]) ).

cnf(754,negated_conjecture,
    ( esk4_1(esk7_0) = esk3_1(esk7_0)
    | in(esk8_1(esk5_1(esk7_0)),esk5_1(esk7_0)) ),
    inference(ef,[status(thm)],[753,theory(equality)]) ).

cnf(809,negated_conjecture,
    ( esk4_1(esk7_0) = esk3_1(esk7_0)
    | ~ in(esk8_1(esk5_1(esk7_0)),esk7_0)
    | ~ ordinal(esk8_1(esk5_1(esk7_0))) ),
    inference(spm,[status(thm)],[53,754,theory(equality)]) ).

cnf(813,negated_conjecture,
    ( esk2_1(esk7_0) = esk4_1(esk7_0)
    | ordinal(esk8_1(esk5_1(esk7_0)))
    | esk4_1(esk7_0) = esk3_1(esk7_0) ),
    inference(spm,[status(thm)],[21,754,theory(equality)]) ).

cnf(816,negated_conjecture,
    ( esk2_1(esk7_0) = esk4_1(esk7_0)
    | esk6_2(esk7_0,esk8_1(esk5_1(esk7_0))) = esk8_1(esk5_1(esk7_0))
    | esk4_1(esk7_0) = esk3_1(esk7_0) ),
    inference(spm,[status(thm)],[26,754,theory(equality)]) ).

cnf(830,negated_conjecture,
    ( esk3_1(esk7_0) = esk4_1(esk7_0)
    | ordinal(esk8_1(esk5_1(esk7_0)))
    | esk4_1(esk7_0) = esk3_1(esk7_0) ),
    inference(rw,[status(thm)],[813,685,theory(equality)]) ).

cnf(831,negated_conjecture,
    ( esk3_1(esk7_0) = esk4_1(esk7_0)
    | ordinal(esk8_1(esk5_1(esk7_0))) ),
    inference(cn,[status(thm)],[830,theory(equality)]) ).

cnf(833,negated_conjecture,
    ( esk3_1(esk7_0) = esk4_1(esk7_0)
    | esk6_2(esk7_0,esk8_1(esk5_1(esk7_0))) = esk8_1(esk5_1(esk7_0))
    | esk4_1(esk7_0) = esk3_1(esk7_0) ),
    inference(rw,[status(thm)],[816,685,theory(equality)]) ).

cnf(834,negated_conjecture,
    ( esk3_1(esk7_0) = esk4_1(esk7_0)
    | esk6_2(esk7_0,esk8_1(esk5_1(esk7_0))) = esk8_1(esk5_1(esk7_0)) ),
    inference(cn,[status(thm)],[833,theory(equality)]) ).

cnf(839,negated_conjecture,
    ordinal(esk8_1(esk5_1(esk7_0))),
    inference(csr,[status(thm)],[831,77]) ).

cnf(840,negated_conjecture,
    ( esk4_1(esk7_0) = esk3_1(esk7_0)
    | ~ in(esk8_1(esk5_1(esk7_0)),esk7_0)
    | $false ),
    inference(rw,[status(thm)],[809,839,theory(equality)]) ).

cnf(841,negated_conjecture,
    ( esk4_1(esk7_0) = esk3_1(esk7_0)
    | ~ in(esk8_1(esk5_1(esk7_0)),esk7_0) ),
    inference(cn,[status(thm)],[840,theory(equality)]) ).

cnf(851,negated_conjecture,
    ( esk2_1(esk7_0) = esk4_1(esk7_0)
    | in(esk8_1(esk5_1(esk7_0)),esk7_0)
    | esk4_1(esk7_0) = esk3_1(esk7_0)
    | ~ in(esk8_1(esk5_1(esk7_0)),esk5_1(esk7_0)) ),
    inference(spm,[status(thm)],[31,834,theory(equality)]) ).

cnf(860,negated_conjecture,
    ( esk3_1(esk7_0) = esk4_1(esk7_0)
    | in(esk8_1(esk5_1(esk7_0)),esk7_0)
    | esk4_1(esk7_0) = esk3_1(esk7_0)
    | ~ in(esk8_1(esk5_1(esk7_0)),esk5_1(esk7_0)) ),
    inference(rw,[status(thm)],[851,685,theory(equality)]) ).

cnf(861,negated_conjecture,
    ( esk3_1(esk7_0) = esk4_1(esk7_0)
    | in(esk8_1(esk5_1(esk7_0)),esk7_0)
    | ~ in(esk8_1(esk5_1(esk7_0)),esk5_1(esk7_0)) ),
    inference(cn,[status(thm)],[860,theory(equality)]) ).

cnf(869,negated_conjecture,
    ( esk4_1(esk7_0) = esk3_1(esk7_0)
    | in(esk8_1(esk5_1(esk7_0)),esk7_0) ),
    inference(csr,[status(thm)],[861,52]) ).

cnf(870,negated_conjecture,
    esk4_1(esk7_0) = esk3_1(esk7_0),
    inference(csr,[status(thm)],[869,841]) ).

cnf(871,negated_conjecture,
    in(esk8_1(esk5_1(esk7_0)),esk7_0),
    inference(spm,[status(thm)],[165,870,theory(equality)]) ).

cnf(884,negated_conjecture,
    ( esk4_1(esk7_0) != esk3_1(esk7_0)
    | ~ in(esk8_1(esk5_1(esk7_0)),esk7_0) ),
    inference(spm,[status(thm)],[539,871,theory(equality)]) ).

cnf(893,negated_conjecture,
    ( $false
    | ~ in(esk8_1(esk5_1(esk7_0)),esk7_0) ),
    inference(rw,[status(thm)],[884,870,theory(equality)]) ).

cnf(894,negated_conjecture,
    ( $false
    | $false ),
    inference(rw,[status(thm)],[893,871,theory(equality)]) ).

cnf(895,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[894,theory(equality)]) ).

cnf(896,negated_conjecture,
    $false,
    895,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU280+1.p
% --creating new selector for []
% -running prover on /tmp/tmphG5AgA/sel_SEU280+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU280+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU280+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU280+1.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
% 
%------------------------------------------------------------------------------