TSTP Solution File: SWV092+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWV092+1 : TPTP v5.0.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art09.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 12:04:15 EST 2010

% Result   : Theorem 0.33s
% Output   : CNFRefutation 0.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :    6
% Syntax   : Number of formulae    :  119 (  41 unt;   0 def)
%            Number of atoms       : 2118 (1238 equ)
%            Maximal formula atoms :  168 (  17 avg)
%            Number of connectives : 3002 (1003   ~;1751   |; 241   &)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   63 (  17 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  16 con; 0-3 aty)
%            Number of variables   :   38 (   0 sgn  24   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(6,axiom,
    ! [X1,X2] :
      ( gt(X2,X1)
     => leq(X1,X2) ),
    file('/tmp/tmp6mfMRo/sel_SWV092+1.p_1',leq_gt1) ).

fof(18,axiom,
    ! [X1] : ~ gt(X1,X1),
    file('/tmp/tmp6mfMRo/sel_SWV092+1.p_1',irreflexivity_gt) ).

fof(22,axiom,
    ! [X1] : minus(X1,n1) = pred(X1),
    file('/tmp/tmp6mfMRo/sel_SWV092+1.p_1',pred_minus_1) ).

fof(25,axiom,
    ! [X1,X2] :
      ( leq(X1,pred(X2))
    <=> gt(X2,X1) ),
    file('/tmp/tmp6mfMRo/sel_SWV092+1.p_1',leq_gt_pred) ).

fof(36,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 )
   => ( 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,minus(n0,n1)) )
         => ( a_select3(u_defuse,X4,X5) = use
            & a_select3(z_defuse,X4,X5) = use ) ) ) ),
    file('/tmp/tmp6mfMRo/sel_SWV092+1.p_1',quaternion_ds1_inuse_0004) ).

fof(53,axiom,
    ! [X1] :
      ( ( leq(n0,X1)
        & leq(X1,n0) )
     => X1 = n0 ),
    file('/tmp/tmp6mfMRo/sel_SWV092+1.p_1',finite_domain_0) ).

fof(63,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 )
     => ( 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,minus(n0,n1)) )
           => ( a_select3(u_defuse,X4,X5) = use
              & a_select3(z_defuse,X4,X5) = use ) ) ) ),
    inference(assume_negation,[status(cth)],[36]) ).

fof(64,plain,
    ! [X1] : ~ gt(X1,X1),
    inference(fof_simplification,[status(thm)],[18,theory(equality)]) ).

fof(79,plain,
    ! [X1,X2] :
      ( ~ gt(X2,X1)
      | leq(X1,X2) ),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(80,plain,
    ! [X3,X4] :
      ( ~ gt(X4,X3)
      | leq(X3,X4) ),
    inference(variable_rename,[status(thm)],[79]) ).

cnf(81,plain,
    ( leq(X1,X2)
    | ~ gt(X2,X1) ),
    inference(split_conjunct,[status(thm)],[80]) ).

fof(104,plain,
    ! [X2] : ~ gt(X2,X2),
    inference(variable_rename,[status(thm)],[64]) ).

cnf(105,plain,
    ~ gt(X1,X1),
    inference(split_conjunct,[status(thm)],[104]) ).

fof(112,plain,
    ! [X2] : minus(X2,n1) = pred(X2),
    inference(variable_rename,[status(thm)],[22]) ).

cnf(113,plain,
    minus(X1,n1) = pred(X1),
    inference(split_conjunct,[status(thm)],[112]) ).

fof(120,plain,
    ! [X1,X2] :
      ( ( ~ leq(X1,pred(X2))
        | gt(X2,X1) )
      & ( ~ gt(X2,X1)
        | leq(X1,pred(X2)) ) ),
    inference(fof_nnf,[status(thm)],[25]) ).

fof(121,plain,
    ! [X3,X4] :
      ( ( ~ leq(X3,pred(X4))
        | gt(X4,X3) )
      & ( ~ gt(X4,X3)
        | leq(X3,pred(X4)) ) ),
    inference(variable_rename,[status(thm)],[120]) ).

cnf(123,plain,
    ( gt(X1,X2)
    | ~ leq(X2,pred(X1)) ),
    inference(split_conjunct,[status(thm)],[121]) ).

fof(140,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
    & ( 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,minus(n0,n1))
          & ( a_select3(u_defuse,X4,X5) != use
            | a_select3(z_defuse,X4,X5) != use ) ) ) ),
    inference(fof_nnf,[status(thm)],[63]) ).

fof(141,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
    & ( 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
      | ? [X6,X7] :
          ( leq(n0,X6)
          & leq(n0,X7)
          & leq(X6,n2)
          & leq(X7,minus(n0,n1))
          & ( a_select3(u_defuse,X6,X7) != use
            | a_select3(z_defuse,X6,X7) != use ) ) ) ),
    inference(variable_rename,[status(thm)],[140]) ).

fof(142,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
    & ( 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
      | ( leq(n0,esk1_0)
        & leq(n0,esk2_0)
        & leq(esk1_0,n2)
        & leq(esk2_0,minus(n0,n1))
        & ( a_select3(u_defuse,esk1_0,esk2_0) != use
          | a_select3(z_defuse,esk1_0,esk2_0) != use ) ) ) ),
    inference(skolemize,[status(esa)],[141]) ).

fof(143,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
    & ( leq(n0,esk1_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 )
    & ( leq(n0,esk2_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 )
    & ( leq(esk1_0,n2)
      | 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 )
    & ( leq(esk2_0,minus(n0,n1))
      | 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 )
    & ( a_select3(u_defuse,esk1_0,esk2_0) != use
      | a_select3(z_defuse,esk1_0,esk2_0) != 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 ) ),
    inference(distribute,[status(thm)],[142]) ).

cnf(145,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(rho_defuse,n2) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n0) != use ),
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(147,negated_conjecture,
    ( leq(n0,esk2_0)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(rho_defuse,n2) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n0) != use ),
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(149,negated_conjecture,
    a_select2(xinit_noise_defuse,n5) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(150,negated_conjecture,
    a_select2(xinit_noise_defuse,n4) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(151,negated_conjecture,
    a_select2(xinit_noise_defuse,n3) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(152,negated_conjecture,
    a_select2(xinit_noise_defuse,n2) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(153,negated_conjecture,
    a_select2(xinit_noise_defuse,n1) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(154,negated_conjecture,
    a_select2(xinit_noise_defuse,n0) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(155,negated_conjecture,
    a_select2(xinit_mean_defuse,n5) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(156,negated_conjecture,
    a_select2(xinit_mean_defuse,n4) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(157,negated_conjecture,
    a_select2(xinit_mean_defuse,n3) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(158,negated_conjecture,
    a_select2(xinit_mean_defuse,n2) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(159,negated_conjecture,
    a_select2(xinit_mean_defuse,n1) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(160,negated_conjecture,
    a_select2(xinit_mean_defuse,n0) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(161,negated_conjecture,
    a_select2(xinit_defuse,n5) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(162,negated_conjecture,
    a_select2(xinit_defuse,n4) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(163,negated_conjecture,
    a_select2(xinit_defuse,n3) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(164,negated_conjecture,
    a_select3(u_defuse,n2,n0) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(165,negated_conjecture,
    a_select3(u_defuse,n1,n0) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(166,negated_conjecture,
    a_select3(u_defuse,n0,n0) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(167,negated_conjecture,
    a_select2(sigma_defuse,n5) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(168,negated_conjecture,
    a_select2(sigma_defuse,n4) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(169,negated_conjecture,
    a_select2(sigma_defuse,n3) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(170,negated_conjecture,
    a_select2(sigma_defuse,n2) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(171,negated_conjecture,
    a_select2(sigma_defuse,n1) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(172,negated_conjecture,
    a_select2(sigma_defuse,n0) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(173,negated_conjecture,
    a_select2(rho_defuse,n2) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(174,negated_conjecture,
    a_select2(rho_defuse,n1) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

cnf(175,negated_conjecture,
    a_select2(rho_defuse,n0) = use,
    inference(split_conjunct,[status(thm)],[143]) ).

fof(200,plain,
    ! [X1] :
      ( ~ leq(n0,X1)
      | ~ leq(X1,n0)
      | X1 = n0 ),
    inference(fof_nnf,[status(thm)],[53]) ).

fof(201,plain,
    ! [X2] :
      ( ~ leq(n0,X2)
      | ~ leq(X2,n0)
      | X2 = n0 ),
    inference(variable_rename,[status(thm)],[200]) ).

cnf(202,plain,
    ( X1 = n0
    | ~ leq(X1,n0)
    | ~ leq(n0,X1) ),
    inference(split_conjunct,[status(thm)],[201]) ).

cnf(240,plain,
    ( gt(X1,X2)
    | ~ leq(X2,minus(X1,n1)) ),
    inference(rw,[status(thm)],[123,113,theory(equality)]),
    [unfolding] ).

cnf(243,plain,
    ( n0 = X1
    | ~ leq(n0,X1)
    | ~ gt(n0,X1) ),
    inference(spm,[status(thm)],[202,81,theory(equality)]) ).

cnf(465,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | a_select2(rho_defuse,n2) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[147,175,theory(equality)]) ).

cnf(466,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | a_select2(rho_defuse,n1) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[465,173,theory(equality)]) ).

cnf(467,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[466,174,theory(equality)]) ).

cnf(468,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[467,168,theory(equality)]) ).

cnf(469,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[468,172,theory(equality)]) ).

cnf(470,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[469,169,theory(equality)]) ).

cnf(471,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[470,167,theory(equality)]) ).

cnf(472,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(sigma_defuse,n1) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[471,170,theory(equality)]) ).

cnf(473,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[472,171,theory(equality)]) ).

cnf(474,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[473,162,theory(equality)]) ).

cnf(475,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[474,163,theory(equality)]) ).

cnf(476,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[475,161,theory(equality)]) ).

cnf(477,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[476,156,theory(equality)]) ).

cnf(478,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[477,160,theory(equality)]) ).

cnf(479,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[478,157,theory(equality)]) ).

cnf(480,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[479,155,theory(equality)]) ).

cnf(481,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[480,158,theory(equality)]) ).

cnf(482,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[481,159,theory(equality)]) ).

cnf(483,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[482,150,theory(equality)]) ).

cnf(484,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[483,154,theory(equality)]) ).

cnf(485,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[484,151,theory(equality)]) ).

cnf(486,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[485,149,theory(equality)]) ).

cnf(487,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[486,152,theory(equality)]) ).

cnf(488,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[487,153,theory(equality)]) ).

cnf(489,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[488,166,theory(equality)]) ).

cnf(490,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[489,164,theory(equality)]) ).

cnf(491,negated_conjecture,
    ( leq(n0,esk2_0)
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[490,165,theory(equality)]) ).

cnf(492,negated_conjecture,
    leq(n0,esk2_0),
    inference(cn,[status(thm)],[491,theory(equality)]) ).

cnf(528,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | a_select2(rho_defuse,n2) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[145,175,theory(equality)]) ).

cnf(529,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | a_select2(rho_defuse,n1) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[528,173,theory(equality)]) ).

cnf(530,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[529,174,theory(equality)]) ).

cnf(531,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[530,168,theory(equality)]) ).

cnf(532,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[531,172,theory(equality)]) ).

cnf(533,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[532,169,theory(equality)]) ).

cnf(534,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[533,167,theory(equality)]) ).

cnf(535,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(sigma_defuse,n1) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[534,170,theory(equality)]) ).

cnf(536,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[535,171,theory(equality)]) ).

cnf(537,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[536,162,theory(equality)]) ).

cnf(538,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[537,163,theory(equality)]) ).

cnf(539,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[538,161,theory(equality)]) ).

cnf(540,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[539,156,theory(equality)]) ).

cnf(541,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[540,160,theory(equality)]) ).

cnf(542,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[541,157,theory(equality)]) ).

cnf(543,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[542,155,theory(equality)]) ).

cnf(544,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[543,158,theory(equality)]) ).

cnf(545,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[544,159,theory(equality)]) ).

cnf(546,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[545,150,theory(equality)]) ).

cnf(547,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[546,154,theory(equality)]) ).

cnf(548,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[547,151,theory(equality)]) ).

cnf(549,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[548,149,theory(equality)]) ).

cnf(550,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[549,152,theory(equality)]) ).

cnf(551,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[550,153,theory(equality)]) ).

cnf(552,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[551,166,theory(equality)]) ).

cnf(553,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | a_select3(u_defuse,n1,n0) != use ),
    inference(rw,[status(thm)],[552,164,theory(equality)]) ).

cnf(554,negated_conjecture,
    ( leq(esk2_0,minus(n0,n1))
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[553,165,theory(equality)]) ).

cnf(555,negated_conjecture,
    leq(esk2_0,minus(n0,n1)),
    inference(cn,[status(thm)],[554,theory(equality)]) ).

cnf(557,negated_conjecture,
    gt(n0,esk2_0),
    inference(spm,[status(thm)],[240,555,theory(equality)]) ).

cnf(652,negated_conjecture,
    ( n0 = esk2_0
    | ~ gt(n0,esk2_0) ),
    inference(spm,[status(thm)],[243,492,theory(equality)]) ).

cnf(657,negated_conjecture,
    ( n0 = esk2_0
    | $false ),
    inference(rw,[status(thm)],[652,557,theory(equality)]) ).

cnf(658,negated_conjecture,
    n0 = esk2_0,
    inference(cn,[status(thm)],[657,theory(equality)]) ).

cnf(659,negated_conjecture,
    gt(n0,n0),
    inference(rw,[status(thm)],[557,658,theory(equality)]) ).

cnf(660,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[659,105,theory(equality)]) ).

cnf(661,negated_conjecture,
    $false,
    660,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV092+1.p
% --creating new selector for [SWV003+0.ax]
% -running prover on /tmp/tmp6mfMRo/sel_SWV092+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV092+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV092+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV092+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
% 
%------------------------------------------------------------------------------