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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SEU408+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art11.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2006MB
% OS       : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Dec 26 08:35:12 EST 2010

% Result   : Theorem 0.27s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   50 (  13 unt;   0 def)
%            Number of atoms       :  300 (  52 equ)
%            Maximal formula atoms :   20 (   6 avg)
%            Number of connectives :  387 ( 137   ~; 124   |; 109   &)
%                                         (   3 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-6 aty)
%            Number of variables   :   98 (   2 sgn  66   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(4,axiom,
    ! [X1,X2] :
      ( ( l1_orders_2(X1)
        & l1_orders_2(X2) )
     => ( v1_orders_2(k1_latsum_1(X1,X2))
        & l1_orders_2(k1_latsum_1(X1,X2)) ) ),
    file('/tmp/tmpcGKMX5/sel_SEU408+1.p_1',dt_k1_latsum_1) ).

fof(12,axiom,
    ! [X1,X2] :
      ( r2_hidden(X1,X2)
     => m1_subset_1(X1,X2) ),
    file('/tmp/tmpcGKMX5/sel_SEU408+1.p_1',t1_subset) ).

fof(21,axiom,
    ! [X1,X2] : k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
    file('/tmp/tmpcGKMX5/sel_SEU408+1.p_1',commutativity_k2_xboole_0) ).

fof(32,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/tmpcGKMX5/sel_SEU408+1.p_1',d2_xboole_0) ).

fof(39,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_orders_2(X1)
        & v3_orders_2(X1)
        & v4_orders_2(X1)
        & v1_lattice3(X1)
        & l1_orders_2(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v2_orders_2(X2)
            & v3_orders_2(X2)
            & v4_orders_2(X2)
            & v1_lattice3(X2)
            & l1_orders_2(X2) )
         => ! [X3] :
              ( r2_hidden(X3,u1_struct_0(X2))
             => m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2))) ) ) ),
    file('/tmp/tmpcGKMX5/sel_SEU408+1.p_1',t11_latsum_1) ).

fof(42,axiom,
    ! [X1] :
      ( l1_orders_2(X1)
     => ! [X2] :
          ( l1_orders_2(X2)
         => ! [X3] :
              ( ( v1_orders_2(X3)
                & l1_orders_2(X3) )
             => ( X3 = k1_latsum_1(X1,X2)
              <=> ( u1_struct_0(X3) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
                  & u1_orders_2(X3) = k2_xboole_0(k2_xboole_0(u1_orders_2(X1),u1_orders_2(X2)),k7_relset_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X2),u1_orders_2(X1),u1_orders_2(X2))) ) ) ) ) ),
    file('/tmp/tmpcGKMX5/sel_SEU408+1.p_1',d2_latsum_1) ).

fof(52,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v2_orders_2(X1)
          & v3_orders_2(X1)
          & v4_orders_2(X1)
          & v1_lattice3(X1)
          & l1_orders_2(X1) )
       => ! [X2] :
            ( ( ~ v3_struct_0(X2)
              & v2_orders_2(X2)
              & v3_orders_2(X2)
              & v4_orders_2(X2)
              & v1_lattice3(X2)
              & l1_orders_2(X2) )
           => ! [X3] :
                ( r2_hidden(X3,u1_struct_0(X2))
               => m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2))) ) ) ),
    inference(assume_negation,[status(cth)],[39]) ).

fof(59,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v2_orders_2(X1)
          & v3_orders_2(X1)
          & v4_orders_2(X1)
          & v1_lattice3(X1)
          & l1_orders_2(X1) )
       => ! [X2] :
            ( ( ~ v3_struct_0(X2)
              & v2_orders_2(X2)
              & v3_orders_2(X2)
              & v4_orders_2(X2)
              & v1_lattice3(X2)
              & l1_orders_2(X2) )
           => ! [X3] :
                ( r2_hidden(X3,u1_struct_0(X2))
               => m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2))) ) ) ),
    inference(fof_simplification,[status(thm)],[52,theory(equality)]) ).

fof(69,plain,
    ! [X1,X2] :
      ( ~ l1_orders_2(X1)
      | ~ l1_orders_2(X2)
      | ( v1_orders_2(k1_latsum_1(X1,X2))
        & l1_orders_2(k1_latsum_1(X1,X2)) ) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(70,plain,
    ! [X3,X4] :
      ( ~ l1_orders_2(X3)
      | ~ l1_orders_2(X4)
      | ( v1_orders_2(k1_latsum_1(X3,X4))
        & l1_orders_2(k1_latsum_1(X3,X4)) ) ),
    inference(variable_rename,[status(thm)],[69]) ).

fof(71,plain,
    ! [X3,X4] :
      ( ( v1_orders_2(k1_latsum_1(X3,X4))
        | ~ l1_orders_2(X3)
        | ~ l1_orders_2(X4) )
      & ( l1_orders_2(k1_latsum_1(X3,X4))
        | ~ l1_orders_2(X3)
        | ~ l1_orders_2(X4) ) ),
    inference(distribute,[status(thm)],[70]) ).

cnf(72,plain,
    ( l1_orders_2(k1_latsum_1(X2,X1))
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X2) ),
    inference(split_conjunct,[status(thm)],[71]) ).

cnf(73,plain,
    ( v1_orders_2(k1_latsum_1(X2,X1))
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X2) ),
    inference(split_conjunct,[status(thm)],[71]) ).

fof(94,plain,
    ! [X1,X2] :
      ( ~ r2_hidden(X1,X2)
      | m1_subset_1(X1,X2) ),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(95,plain,
    ! [X3,X4] :
      ( ~ r2_hidden(X3,X4)
      | m1_subset_1(X3,X4) ),
    inference(variable_rename,[status(thm)],[94]) ).

cnf(96,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    inference(split_conjunct,[status(thm)],[95]) ).

fof(123,plain,
    ! [X3,X4] : k2_xboole_0(X3,X4) = k2_xboole_0(X4,X3),
    inference(variable_rename,[status(thm)],[21]) ).

cnf(124,plain,
    k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
    inference(split_conjunct,[status(thm)],[123]) ).

fof(151,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)],[32]) ).

fof(152,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)],[151]) ).

fof(153,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(esk5_3(X5,X6,X7),X7)
            | ( ~ r2_hidden(esk5_3(X5,X6,X7),X5)
              & ~ r2_hidden(esk5_3(X5,X6,X7),X6) ) )
          & ( r2_hidden(esk5_3(X5,X6,X7),X7)
            | r2_hidden(esk5_3(X5,X6,X7),X5)
            | r2_hidden(esk5_3(X5,X6,X7),X6) ) )
        | X7 = k2_xboole_0(X5,X6) ) ),
    inference(skolemize,[status(esa)],[152]) ).

fof(154,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(esk5_3(X5,X6,X7),X7)
            | ( ~ r2_hidden(esk5_3(X5,X6,X7),X5)
              & ~ r2_hidden(esk5_3(X5,X6,X7),X6) ) )
          & ( r2_hidden(esk5_3(X5,X6,X7),X7)
            | r2_hidden(esk5_3(X5,X6,X7),X5)
            | r2_hidden(esk5_3(X5,X6,X7),X6) ) )
        | X7 = k2_xboole_0(X5,X6) ) ),
    inference(shift_quantors,[status(thm)],[153]) ).

fof(155,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(esk5_3(X5,X6,X7),X5)
        | ~ r2_hidden(esk5_3(X5,X6,X7),X7)
        | X7 = k2_xboole_0(X5,X6) )
      & ( ~ r2_hidden(esk5_3(X5,X6,X7),X6)
        | ~ r2_hidden(esk5_3(X5,X6,X7),X7)
        | X7 = k2_xboole_0(X5,X6) )
      & ( r2_hidden(esk5_3(X5,X6,X7),X7)
        | r2_hidden(esk5_3(X5,X6,X7),X5)
        | r2_hidden(esk5_3(X5,X6,X7),X6)
        | X7 = k2_xboole_0(X5,X6) ) ),
    inference(distribute,[status(thm)],[154]) ).

cnf(160,plain,
    ( r2_hidden(X4,X1)
    | X1 != k2_xboole_0(X2,X3)
    | ~ r2_hidden(X4,X2) ),
    inference(split_conjunct,[status(thm)],[155]) ).

fof(177,negated_conjecture,
    ? [X1] :
      ( ~ v3_struct_0(X1)
      & v2_orders_2(X1)
      & v3_orders_2(X1)
      & v4_orders_2(X1)
      & v1_lattice3(X1)
      & l1_orders_2(X1)
      & ? [X2] :
          ( ~ v3_struct_0(X2)
          & v2_orders_2(X2)
          & v3_orders_2(X2)
          & v4_orders_2(X2)
          & v1_lattice3(X2)
          & l1_orders_2(X2)
          & ? [X3] :
              ( r2_hidden(X3,u1_struct_0(X2))
              & ~ m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2))) ) ) ),
    inference(fof_nnf,[status(thm)],[59]) ).

fof(178,negated_conjecture,
    ? [X4] :
      ( ~ v3_struct_0(X4)
      & v2_orders_2(X4)
      & v3_orders_2(X4)
      & v4_orders_2(X4)
      & v1_lattice3(X4)
      & l1_orders_2(X4)
      & ? [X5] :
          ( ~ v3_struct_0(X5)
          & v2_orders_2(X5)
          & v3_orders_2(X5)
          & v4_orders_2(X5)
          & v1_lattice3(X5)
          & l1_orders_2(X5)
          & ? [X6] :
              ( r2_hidden(X6,u1_struct_0(X5))
              & ~ m1_subset_1(X6,u1_struct_0(k1_latsum_1(X4,X5))) ) ) ),
    inference(variable_rename,[status(thm)],[177]) ).

fof(179,negated_conjecture,
    ( ~ v3_struct_0(esk7_0)
    & v2_orders_2(esk7_0)
    & v3_orders_2(esk7_0)
    & v4_orders_2(esk7_0)
    & v1_lattice3(esk7_0)
    & l1_orders_2(esk7_0)
    & ~ v3_struct_0(esk8_0)
    & v2_orders_2(esk8_0)
    & v3_orders_2(esk8_0)
    & v4_orders_2(esk8_0)
    & v1_lattice3(esk8_0)
    & l1_orders_2(esk8_0)
    & r2_hidden(esk9_0,u1_struct_0(esk8_0))
    & ~ m1_subset_1(esk9_0,u1_struct_0(k1_latsum_1(esk7_0,esk8_0))) ),
    inference(skolemize,[status(esa)],[178]) ).

cnf(180,negated_conjecture,
    ~ m1_subset_1(esk9_0,u1_struct_0(k1_latsum_1(esk7_0,esk8_0))),
    inference(split_conjunct,[status(thm)],[179]) ).

cnf(181,negated_conjecture,
    r2_hidden(esk9_0,u1_struct_0(esk8_0)),
    inference(split_conjunct,[status(thm)],[179]) ).

cnf(182,negated_conjecture,
    l1_orders_2(esk8_0),
    inference(split_conjunct,[status(thm)],[179]) ).

cnf(188,negated_conjecture,
    l1_orders_2(esk7_0),
    inference(split_conjunct,[status(thm)],[179]) ).

fof(205,plain,
    ! [X1] :
      ( ~ l1_orders_2(X1)
      | ! [X2] :
          ( ~ l1_orders_2(X2)
          | ! [X3] :
              ( ~ v1_orders_2(X3)
              | ~ l1_orders_2(X3)
              | ( ( X3 != k1_latsum_1(X1,X2)
                  | ( u1_struct_0(X3) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
                    & u1_orders_2(X3) = k2_xboole_0(k2_xboole_0(u1_orders_2(X1),u1_orders_2(X2)),k7_relset_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X2),u1_orders_2(X1),u1_orders_2(X2))) ) )
                & ( u1_struct_0(X3) != k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
                  | u1_orders_2(X3) != k2_xboole_0(k2_xboole_0(u1_orders_2(X1),u1_orders_2(X2)),k7_relset_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X2),u1_orders_2(X1),u1_orders_2(X2)))
                  | X3 = k1_latsum_1(X1,X2) ) ) ) ) ),
    inference(fof_nnf,[status(thm)],[42]) ).

fof(206,plain,
    ! [X4] :
      ( ~ l1_orders_2(X4)
      | ! [X5] :
          ( ~ l1_orders_2(X5)
          | ! [X6] :
              ( ~ v1_orders_2(X6)
              | ~ l1_orders_2(X6)
              | ( ( X6 != k1_latsum_1(X4,X5)
                  | ( u1_struct_0(X6) = k2_xboole_0(u1_struct_0(X4),u1_struct_0(X5))
                    & u1_orders_2(X6) = k2_xboole_0(k2_xboole_0(u1_orders_2(X4),u1_orders_2(X5)),k7_relset_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X5),u1_struct_0(X5),u1_orders_2(X4),u1_orders_2(X5))) ) )
                & ( u1_struct_0(X6) != k2_xboole_0(u1_struct_0(X4),u1_struct_0(X5))
                  | u1_orders_2(X6) != k2_xboole_0(k2_xboole_0(u1_orders_2(X4),u1_orders_2(X5)),k7_relset_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X5),u1_struct_0(X5),u1_orders_2(X4),u1_orders_2(X5)))
                  | X6 = k1_latsum_1(X4,X5) ) ) ) ) ),
    inference(variable_rename,[status(thm)],[205]) ).

fof(207,plain,
    ! [X4,X5,X6] :
      ( ~ v1_orders_2(X6)
      | ~ l1_orders_2(X6)
      | ( ( X6 != k1_latsum_1(X4,X5)
          | ( u1_struct_0(X6) = k2_xboole_0(u1_struct_0(X4),u1_struct_0(X5))
            & u1_orders_2(X6) = k2_xboole_0(k2_xboole_0(u1_orders_2(X4),u1_orders_2(X5)),k7_relset_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X5),u1_struct_0(X5),u1_orders_2(X4),u1_orders_2(X5))) ) )
        & ( u1_struct_0(X6) != k2_xboole_0(u1_struct_0(X4),u1_struct_0(X5))
          | u1_orders_2(X6) != k2_xboole_0(k2_xboole_0(u1_orders_2(X4),u1_orders_2(X5)),k7_relset_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X5),u1_struct_0(X5),u1_orders_2(X4),u1_orders_2(X5)))
          | X6 = k1_latsum_1(X4,X5) ) )
      | ~ l1_orders_2(X5)
      | ~ l1_orders_2(X4) ),
    inference(shift_quantors,[status(thm)],[206]) ).

fof(208,plain,
    ! [X4,X5,X6] :
      ( ( u1_struct_0(X6) = k2_xboole_0(u1_struct_0(X4),u1_struct_0(X5))
        | X6 != k1_latsum_1(X4,X5)
        | ~ v1_orders_2(X6)
        | ~ l1_orders_2(X6)
        | ~ l1_orders_2(X5)
        | ~ l1_orders_2(X4) )
      & ( u1_orders_2(X6) = k2_xboole_0(k2_xboole_0(u1_orders_2(X4),u1_orders_2(X5)),k7_relset_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X5),u1_struct_0(X5),u1_orders_2(X4),u1_orders_2(X5)))
        | X6 != k1_latsum_1(X4,X5)
        | ~ v1_orders_2(X6)
        | ~ l1_orders_2(X6)
        | ~ l1_orders_2(X5)
        | ~ l1_orders_2(X4) )
      & ( u1_struct_0(X6) != k2_xboole_0(u1_struct_0(X4),u1_struct_0(X5))
        | u1_orders_2(X6) != k2_xboole_0(k2_xboole_0(u1_orders_2(X4),u1_orders_2(X5)),k7_relset_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X5),u1_struct_0(X5),u1_orders_2(X4),u1_orders_2(X5)))
        | X6 = k1_latsum_1(X4,X5)
        | ~ v1_orders_2(X6)
        | ~ l1_orders_2(X6)
        | ~ l1_orders_2(X5)
        | ~ l1_orders_2(X4) ) ),
    inference(distribute,[status(thm)],[207]) ).

cnf(211,plain,
    ( u1_struct_0(X3) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X3)
    | ~ v1_orders_2(X3)
    | X3 != k1_latsum_1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[208]) ).

cnf(239,negated_conjecture,
    ~ r2_hidden(esk9_0,u1_struct_0(k1_latsum_1(esk7_0,esk8_0))),
    inference(spm,[status(thm)],[180,96,theory(equality)]) ).

cnf(281,plain,
    ( r2_hidden(X1,k2_xboole_0(X2,X3))
    | ~ r2_hidden(X1,X2) ),
    inference(er,[status(thm)],[160,theory(equality)]) ).

cnf(314,plain,
    ( k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) = u1_struct_0(k1_latsum_1(X1,X2))
    | ~ v1_orders_2(k1_latsum_1(X1,X2))
    | ~ l1_orders_2(k1_latsum_1(X1,X2))
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1) ),
    inference(er,[status(thm)],[211,theory(equality)]) ).

cnf(696,plain,
    ( u1_struct_0(k1_latsum_1(X1,X2)) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_orders_2(k1_latsum_1(X1,X2))
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1) ),
    inference(csr,[status(thm)],[314,72]) ).

cnf(697,plain,
    ( u1_struct_0(k1_latsum_1(X1,X2)) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1) ),
    inference(csr,[status(thm)],[696,73]) ).

cnf(699,negated_conjecture,
    ( ~ r2_hidden(esk9_0,k2_xboole_0(u1_struct_0(esk7_0),u1_struct_0(esk8_0)))
    | ~ l1_orders_2(esk8_0)
    | ~ l1_orders_2(esk7_0) ),
    inference(spm,[status(thm)],[239,697,theory(equality)]) ).

cnf(717,negated_conjecture,
    ( ~ r2_hidden(esk9_0,k2_xboole_0(u1_struct_0(esk8_0),u1_struct_0(esk7_0)))
    | ~ l1_orders_2(esk8_0)
    | ~ l1_orders_2(esk7_0) ),
    inference(rw,[status(thm)],[699,124,theory(equality)]) ).

cnf(718,negated_conjecture,
    ( ~ r2_hidden(esk9_0,k2_xboole_0(u1_struct_0(esk8_0),u1_struct_0(esk7_0)))
    | $false
    | ~ l1_orders_2(esk7_0) ),
    inference(rw,[status(thm)],[717,182,theory(equality)]) ).

cnf(719,negated_conjecture,
    ( ~ r2_hidden(esk9_0,k2_xboole_0(u1_struct_0(esk8_0),u1_struct_0(esk7_0)))
    | $false
    | $false ),
    inference(rw,[status(thm)],[718,188,theory(equality)]) ).

cnf(720,negated_conjecture,
    ~ r2_hidden(esk9_0,k2_xboole_0(u1_struct_0(esk8_0),u1_struct_0(esk7_0))),
    inference(cn,[status(thm)],[719,theory(equality)]) ).

cnf(728,negated_conjecture,
    ~ r2_hidden(esk9_0,u1_struct_0(esk8_0)),
    inference(spm,[status(thm)],[720,281,theory(equality)]) ).

cnf(729,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[728,181,theory(equality)]) ).

cnf(730,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[729,theory(equality)]) ).

cnf(731,negated_conjecture,
    $false,
    730,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
%   from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU408+1.p
% --creating new selector for []
% -running prover on /tmp/tmpcGKMX5/sel_SEU408+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU408+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU408+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU408+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
% 
%------------------------------------------------------------------------------