TSTP Solution File: SWV209+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWV209+1 : TPTP v5.0.0. Bugfixed v3.3.0.
% 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 12:24:14 EST 2010

% Result   : Theorem 0.33s
% Output   : CNFRefutation 0.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   58 (  14 unt;   0 def)
%            Number of atoms       :  458 ( 320 equ)
%            Maximal formula atoms :   66 (   7 avg)
%            Number of connectives :  488 (  88   ~; 159   |; 227   &)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   37 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  16 con; 0-3 aty)
%            Number of variables   :   37 (   0 sgn  34   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(41,conjecture,
    ( ( a_select2(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n5) = use
      & ! [X4,X5] :
          ( ( leq(n0,X4)
            & leq(n0,X5)
            & leq(X4,n2)
            & leq(X5,n998) )
         => a_select3(u_defuse,X4,X5) = use )
      & ! [X6,X7] :
          ( ( leq(n0,X6)
            & leq(n0,X7)
            & leq(X6,n2)
            & leq(X7,n998) )
         => a_select3(z_defuse,X6,X7) = use ) )
   => ! [X8] :
        ( ( leq(n0,X8)
          & leq(X8,n5) )
       => a_select2(xinit_noise_defuse,X8) = use ) ),
    file('/tmp/tmp79pIIL/sel_SWV209+1.p_1',quaternion_ds1_inuse_0020) ).

fof(46,axiom,
    ! [X1] :
      ( ( leq(n0,X1)
        & leq(X1,n5) )
     => ( X1 = n0
        | X1 = n1
        | X1 = n2
        | X1 = n3
        | X1 = n4
        | X1 = n5 ) ),
    file('/tmp/tmp79pIIL/sel_SWV209+1.p_1',finite_domain_5) ).

fof(65,negated_conjecture,
    ~ ( ( a_select2(rho_defuse,n0) = use
        & a_select2(rho_defuse,n1) = use
        & a_select2(rho_defuse,n2) = use
        & a_select2(sigma_defuse,n0) = use
        & a_select2(sigma_defuse,n1) = use
        & a_select2(sigma_defuse,n2) = use
        & a_select2(sigma_defuse,n3) = use
        & a_select2(sigma_defuse,n4) = use
        & a_select2(sigma_defuse,n5) = use
        & a_select3(u_defuse,n0,n0) = use
        & a_select3(u_defuse,n1,n0) = use
        & a_select3(u_defuse,n2,n0) = use
        & a_select2(xinit_defuse,n3) = use
        & a_select2(xinit_defuse,n4) = use
        & a_select2(xinit_defuse,n5) = use
        & a_select2(xinit_mean_defuse,n0) = use
        & a_select2(xinit_mean_defuse,n1) = use
        & a_select2(xinit_mean_defuse,n2) = use
        & a_select2(xinit_mean_defuse,n3) = use
        & a_select2(xinit_mean_defuse,n4) = use
        & a_select2(xinit_mean_defuse,n5) = use
        & a_select2(xinit_noise_defuse,n0) = use
        & a_select2(xinit_noise_defuse,n1) = use
        & a_select2(xinit_noise_defuse,n2) = use
        & a_select2(xinit_noise_defuse,n3) = use
        & a_select2(xinit_noise_defuse,n4) = use
        & a_select2(xinit_noise_defuse,n5) = use
        & ! [X4,X5] :
            ( ( leq(n0,X4)
              & leq(n0,X5)
              & leq(X4,n2)
              & leq(X5,n998) )
           => a_select3(u_defuse,X4,X5) = use )
        & ! [X6,X7] :
            ( ( leq(n0,X6)
              & leq(n0,X7)
              & leq(X6,n2)
              & leq(X7,n998) )
           => a_select3(z_defuse,X6,X7) = use ) )
     => ! [X8] :
          ( ( leq(n0,X8)
            & leq(X8,n5) )
         => a_select2(xinit_noise_defuse,X8) = use ) ),
    inference(assume_negation,[status(cth)],[41]) ).

fof(67,plain,
    ( epred1_0
   => ( a_select2(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n5) = use
      & ! [X4,X5] :
          ( ( leq(n0,X4)
            & leq(n0,X5)
            & leq(X4,n2)
            & leq(X5,n998) )
         => a_select3(u_defuse,X4,X5) = use )
      & ! [X6,X7] :
          ( ( leq(n0,X6)
            & leq(n0,X7)
            & leq(X6,n2)
            & leq(X7,n998) )
         => a_select3(z_defuse,X6,X7) = use ) ) ),
    introduced(definition) ).

fof(68,negated_conjecture,
    ~ ( epred1_0
     => ! [X8] :
          ( ( leq(n0,X8)
            & leq(X8,n5) )
         => a_select2(xinit_noise_defuse,X8) = use ) ),
    inference(apply_def,[status(esa)],[65,67,theory(equality)]) ).

fof(141,negated_conjecture,
    ( epred1_0
    & ? [X8] :
        ( leq(n0,X8)
        & leq(X8,n5)
        & a_select2(xinit_noise_defuse,X8) != use ) ),
    inference(fof_nnf,[status(thm)],[68]) ).

fof(142,negated_conjecture,
    ( epred1_0
    & ? [X9] :
        ( leq(n0,X9)
        & leq(X9,n5)
        & a_select2(xinit_noise_defuse,X9) != use ) ),
    inference(variable_rename,[status(thm)],[141]) ).

fof(143,negated_conjecture,
    ( epred1_0
    & leq(n0,esk1_0)
    & leq(esk1_0,n5)
    & a_select2(xinit_noise_defuse,esk1_0) != use ),
    inference(skolemize,[status(esa)],[142]) ).

cnf(144,negated_conjecture,
    a_select2(xinit_noise_defuse,esk1_0) != use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(145,negated_conjecture,
    leq(esk1_0,n5),
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(146,negated_conjecture,
    leq(n0,esk1_0),
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(147,negated_conjecture,
    epred1_0,
    inference(split_conjunct,[status(thm)],[143]) ).

fof(154,plain,
    ! [X1] :
      ( ~ leq(n0,X1)
      | ~ leq(X1,n5)
      | X1 = n0
      | X1 = n1
      | X1 = n2
      | X1 = n3
      | X1 = n4
      | X1 = n5 ),
    inference(fof_nnf,[status(thm)],[46]) ).

fof(155,plain,
    ! [X2] :
      ( ~ leq(n0,X2)
      | ~ leq(X2,n5)
      | X2 = n0
      | X2 = n1
      | X2 = n2
      | X2 = n3
      | X2 = n4
      | X2 = n5 ),
    inference(variable_rename,[status(thm)],[154]) ).

cnf(156,plain,
    ( X1 = n5
    | X1 = n4
    | X1 = n3
    | X1 = n2
    | X1 = n1
    | X1 = n0
    | ~ leq(X1,n5)
    | ~ leq(n0,X1) ),
    inference(split_conjunct,[status(thm)],[155]) ).

fof(183,plain,
    ( ~ epred1_0
    | ( a_select2(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n5) = use
      & ! [X4,X5] :
          ( ~ leq(n0,X4)
          | ~ leq(n0,X5)
          | ~ leq(X4,n2)
          | ~ leq(X5,n998)
          | a_select3(u_defuse,X4,X5) = use )
      & ! [X6,X7] :
          ( ~ leq(n0,X6)
          | ~ leq(n0,X7)
          | ~ leq(X6,n2)
          | ~ leq(X7,n998)
          | a_select3(z_defuse,X6,X7) = use ) ) ),
    inference(fof_nnf,[status(thm)],[67]) ).

fof(184,plain,
    ( ~ epred1_0
    | ( a_select2(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n5) = use
      & ! [X8,X9] :
          ( ~ leq(n0,X8)
          | ~ leq(n0,X9)
          | ~ leq(X8,n2)
          | ~ leq(X9,n998)
          | a_select3(u_defuse,X8,X9) = use )
      & ! [X10,X11] :
          ( ~ leq(n0,X10)
          | ~ leq(n0,X11)
          | ~ leq(X10,n2)
          | ~ leq(X11,n998)
          | a_select3(z_defuse,X10,X11) = use ) ) ),
    inference(variable_rename,[status(thm)],[183]) ).

fof(185,plain,
    ! [X8,X9,X10,X11] :
      ( ( ( ~ leq(n0,X10)
          | ~ leq(n0,X11)
          | ~ leq(X10,n2)
          | ~ leq(X11,n998)
          | a_select3(z_defuse,X10,X11) = use )
        & ( ~ leq(n0,X8)
          | ~ leq(n0,X9)
          | ~ leq(X8,n2)
          | ~ leq(X9,n998)
          | a_select3(u_defuse,X8,X9) = use )
        & a_select2(rho_defuse,n0) = use
        & a_select2(rho_defuse,n1) = use
        & a_select2(rho_defuse,n2) = use
        & a_select2(sigma_defuse,n0) = use
        & a_select2(sigma_defuse,n1) = use
        & a_select2(sigma_defuse,n2) = use
        & a_select2(sigma_defuse,n3) = use
        & a_select2(sigma_defuse,n4) = use
        & a_select2(sigma_defuse,n5) = use
        & a_select3(u_defuse,n0,n0) = use
        & a_select3(u_defuse,n1,n0) = use
        & a_select3(u_defuse,n2,n0) = use
        & a_select2(xinit_defuse,n3) = use
        & a_select2(xinit_defuse,n4) = use
        & a_select2(xinit_defuse,n5) = use
        & a_select2(xinit_mean_defuse,n0) = use
        & a_select2(xinit_mean_defuse,n1) = use
        & a_select2(xinit_mean_defuse,n2) = use
        & a_select2(xinit_mean_defuse,n3) = use
        & a_select2(xinit_mean_defuse,n4) = use
        & a_select2(xinit_mean_defuse,n5) = use
        & a_select2(xinit_noise_defuse,n0) = use
        & a_select2(xinit_noise_defuse,n1) = use
        & a_select2(xinit_noise_defuse,n2) = use
        & a_select2(xinit_noise_defuse,n3) = use
        & a_select2(xinit_noise_defuse,n4) = use
        & a_select2(xinit_noise_defuse,n5) = use )
      | ~ epred1_0 ),
    inference(shift_quantors,[status(thm)],[184]) ).

fof(186,plain,
    ! [X8,X9,X10,X11] :
      ( ( ~ leq(n0,X10)
        | ~ leq(n0,X11)
        | ~ leq(X10,n2)
        | ~ leq(X11,n998)
        | a_select3(z_defuse,X10,X11) = use
        | ~ epred1_0 )
      & ( ~ leq(n0,X8)
        | ~ leq(n0,X9)
        | ~ leq(X8,n2)
        | ~ leq(X9,n998)
        | a_select3(u_defuse,X8,X9) = use
        | ~ epred1_0 )
      & ( a_select2(rho_defuse,n0) = use
        | ~ epred1_0 )
      & ( a_select2(rho_defuse,n1) = use
        | ~ epred1_0 )
      & ( a_select2(rho_defuse,n2) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n0) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n1) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n2) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n3) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n4) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n5) = use
        | ~ epred1_0 )
      & ( a_select3(u_defuse,n0,n0) = use
        | ~ epred1_0 )
      & ( a_select3(u_defuse,n1,n0) = use
        | ~ epred1_0 )
      & ( a_select3(u_defuse,n2,n0) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_defuse,n3) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_defuse,n4) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_defuse,n5) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n0) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n1) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n2) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n3) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n4) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n5) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n0) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n1) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n2) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n3) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n4) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n5) = use
        | ~ epred1_0 ) ),
    inference(distribute,[status(thm)],[185]) ).

cnf(187,plain,
    ( a_select2(xinit_noise_defuse,n5) = use
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[186]) ).

cnf(188,plain,
    ( a_select2(xinit_noise_defuse,n4) = use
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[186]) ).

cnf(189,plain,
    ( a_select2(xinit_noise_defuse,n3) = use
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[186]) ).

cnf(190,plain,
    ( a_select2(xinit_noise_defuse,n2) = use
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[186]) ).

cnf(191,plain,
    ( a_select2(xinit_noise_defuse,n1) = use
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[186]) ).

cnf(192,plain,
    ( a_select2(xinit_noise_defuse,n0) = use
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[186]) ).

cnf(238,plain,
    ( a_select2(xinit_noise_defuse,n5) = use
    | $false ),
    inference(rw,[status(thm)],[187,147,theory(equality)]) ).

cnf(239,plain,
    a_select2(xinit_noise_defuse,n5) = use,
    inference(cn,[status(thm)],[238,theory(equality)]) ).

cnf(240,plain,
    ( a_select2(xinit_noise_defuse,n0) = use
    | $false ),
    inference(rw,[status(thm)],[192,147,theory(equality)]) ).

cnf(241,plain,
    a_select2(xinit_noise_defuse,n0) = use,
    inference(cn,[status(thm)],[240,theory(equality)]) ).

cnf(254,plain,
    ( a_select2(xinit_noise_defuse,n4) = use
    | $false ),
    inference(rw,[status(thm)],[188,147,theory(equality)]) ).

cnf(255,plain,
    a_select2(xinit_noise_defuse,n4) = use,
    inference(cn,[status(thm)],[254,theory(equality)]) ).

cnf(256,plain,
    ( a_select2(xinit_noise_defuse,n1) = use
    | $false ),
    inference(rw,[status(thm)],[191,147,theory(equality)]) ).

cnf(257,plain,
    a_select2(xinit_noise_defuse,n1) = use,
    inference(cn,[status(thm)],[256,theory(equality)]) ).

cnf(258,plain,
    ( a_select2(xinit_noise_defuse,n3) = use
    | $false ),
    inference(rw,[status(thm)],[189,147,theory(equality)]) ).

cnf(259,plain,
    a_select2(xinit_noise_defuse,n3) = use,
    inference(cn,[status(thm)],[258,theory(equality)]) ).

cnf(260,plain,
    ( a_select2(xinit_noise_defuse,n2) = use
    | $false ),
    inference(rw,[status(thm)],[190,147,theory(equality)]) ).

cnf(261,plain,
    a_select2(xinit_noise_defuse,n2) = use,
    inference(cn,[status(thm)],[260,theory(equality)]) ).

cnf(405,negated_conjecture,
    ( n2 = esk1_0
    | n0 = esk1_0
    | n3 = esk1_0
    | n5 = esk1_0
    | n1 = esk1_0
    | n4 = esk1_0
    | ~ leq(n0,esk1_0) ),
    inference(spm,[status(thm)],[156,145,theory(equality)]) ).

cnf(407,negated_conjecture,
    ( n2 = esk1_0
    | n0 = esk1_0
    | n3 = esk1_0
    | n5 = esk1_0
    | n1 = esk1_0
    | n4 = esk1_0
    | $false ),
    inference(rw,[status(thm)],[405,146,theory(equality)]) ).

cnf(408,negated_conjecture,
    ( n2 = esk1_0
    | n0 = esk1_0
    | n3 = esk1_0
    | n5 = esk1_0
    | n1 = esk1_0
    | n4 = esk1_0 ),
    inference(cn,[status(thm)],[407,theory(equality)]) ).

cnf(2170,negated_conjecture,
    ( esk1_0 = n1
    | esk1_0 = n5
    | esk1_0 = n3
    | esk1_0 = n0
    | esk1_0 = n2
    | a_select2(xinit_noise_defuse,n4) != use ),
    inference(spm,[status(thm)],[144,408,theory(equality)]) ).

cnf(2181,negated_conjecture,
    ( esk1_0 = n1
    | esk1_0 = n5
    | esk1_0 = n3
    | esk1_0 = n0
    | esk1_0 = n2
    | $false ),
    inference(rw,[status(thm)],[2170,255,theory(equality)]) ).

cnf(2182,negated_conjecture,
    ( esk1_0 = n1
    | esk1_0 = n5
    | esk1_0 = n3
    | esk1_0 = n0
    | esk1_0 = n2 ),
    inference(cn,[status(thm)],[2181,theory(equality)]) ).

cnf(2202,negated_conjecture,
    ( esk1_0 = n2
    | esk1_0 = n0
    | esk1_0 = n3
    | esk1_0 = n1
    | a_select2(xinit_noise_defuse,n5) != use ),
    inference(spm,[status(thm)],[144,2182,theory(equality)]) ).

cnf(2213,negated_conjecture,
    ( esk1_0 = n2
    | esk1_0 = n0
    | esk1_0 = n3
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[2202,239,theory(equality)]) ).

cnf(2214,negated_conjecture,
    ( esk1_0 = n2
    | esk1_0 = n0
    | esk1_0 = n3
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[2213,theory(equality)]) ).

cnf(2222,negated_conjecture,
    ( esk1_0 = n1
    | esk1_0 = n0
    | esk1_0 = n2
    | a_select2(xinit_noise_defuse,n3) != use ),
    inference(spm,[status(thm)],[144,2214,theory(equality)]) ).

cnf(2232,negated_conjecture,
    ( esk1_0 = n1
    | esk1_0 = n0
    | esk1_0 = n2
    | $false ),
    inference(rw,[status(thm)],[2222,259,theory(equality)]) ).

cnf(2233,negated_conjecture,
    ( esk1_0 = n1
    | esk1_0 = n0
    | esk1_0 = n2 ),
    inference(cn,[status(thm)],[2232,theory(equality)]) ).

cnf(2242,negated_conjecture,
    ( esk1_0 = n0
    | esk1_0 = n1
    | a_select2(xinit_noise_defuse,n2) != use ),
    inference(spm,[status(thm)],[144,2233,theory(equality)]) ).

cnf(2252,negated_conjecture,
    ( esk1_0 = n0
    | esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[2242,261,theory(equality)]) ).

cnf(2253,negated_conjecture,
    ( esk1_0 = n0
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[2252,theory(equality)]) ).

cnf(2270,negated_conjecture,
    ( esk1_0 = n1
    | a_select2(xinit_noise_defuse,n0) != use ),
    inference(spm,[status(thm)],[144,2253,theory(equality)]) ).

cnf(2280,negated_conjecture,
    ( esk1_0 = n1
    | $false ),
    inference(rw,[status(thm)],[2270,241,theory(equality)]) ).

cnf(2281,negated_conjecture,
    esk1_0 = n1,
    inference(cn,[status(thm)],[2280,theory(equality)]) ).

cnf(2292,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[144,2281,theory(equality)]),257,theory(equality)]) ).

cnf(2293,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[2292,theory(equality)]) ).

cnf(2294,negated_conjecture,
    $false,
    2293,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV209+1.p
% --creating new selector for [SWV003+0.ax]
% -running prover on /tmp/tmp79pIIL/sel_SWV209+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV209+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV209+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV209+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
% 
%------------------------------------------------------------------------------