TSTP Solution File: SWV093+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV093+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1Gqsz9LCPM true

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 00:07:37 EDT 2023

% Result   : Theorem 50.89s 7.89s
% Output   : Refutation 50.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  920 ( 750 unt;  28 typ;   0 def)
%            Number of atoms       : 2771 (2269 equ;   0 cnn)
%            Maximal formula atoms :   84 (   3 avg)
%            Number of connectives : 8180 (1676   ~;1712   |; 156   &;4625   @)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   44 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   30 (  28 usr;  23 con; 0-3 aty)
%            Number of variables   :   64 (   0   ^;  64   !;   0   ?;  64   :)

% Comments : 
%------------------------------------------------------------------------------
thf(n3_type,type,
    n3: $i ).

thf(pred_type,type,
    pred: $i > $i ).

thf(sigma_defuse_type,type,
    sigma_defuse: $i ).

thf(sk__30_type,type,
    sk__30: $i ).

thf(z_defuse_type,type,
    z_defuse: $i ).

thf(a_select3_type,type,
    a_select3: $i > $i > $i > $i ).

thf(minus_type,type,
    minus: $i > $i > $i ).

thf(sk__28_type,type,
    sk__28: $i ).

thf(pv5_type,type,
    pv5: $i ).

thf(n999_type,type,
    n999: $i ).

thf(n2_type,type,
    n2: $i ).

thf(xinit_mean_defuse_type,type,
    xinit_mean_defuse: $i ).

thf(n1_type,type,
    n1: $i ).

thf(leq_type,type,
    leq: $i > $i > $o ).

thf(u_defuse_type,type,
    u_defuse: $i ).

thf(sk__27_type,type,
    sk__27: $i ).

thf(n5_type,type,
    n5: $i ).

thf(n0_type,type,
    n0: $i ).

thf(a_select2_type,type,
    a_select2: $i > $i > $i ).

thf(rho_defuse_type,type,
    rho_defuse: $i ).

thf(xinit_noise_defuse_type,type,
    xinit_noise_defuse: $i ).

thf(succ_type,type,
    succ: $i > $i ).

thf(xinit_defuse_type,type,
    xinit_defuse: $i ).

thf(use_type,type,
    use: $i ).

thf(pv41_type,type,
    pv41: $i ).

thf(sk__29_type,type,
    sk__29: $i ).

thf(n6_type,type,
    n6: $i ).

thf(n4_type,type,
    n4: $i ).

thf(quaternion_ds1_inuse_0005,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 @ pv5 )
      & ( leq @ n0 @ pv41 )
      & ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
      & ( leq @ pv41 @ ( minus @ n6 @ n1 ) )
      & ! [A: $i,B: $i] :
          ( ( ( leq @ n0 @ A )
            & ( leq @ n0 @ B )
            & ( leq @ A @ n2 )
            & ( leq @ B @ pv5 ) )
         => ( ( ( a_select3 @ u_defuse @ A @ B )
              = use )
            & ( ( a_select3 @ z_defuse @ A @ B )
              = use ) ) )
      & ! [C: $i,D: $i] :
          ( ( ( leq @ n0 @ C )
            & ( leq @ n0 @ D )
            & ( leq @ C @ n2 )
            & ( leq @ D @ ( minus @ pv5 @ n1 ) ) )
         => ( ( ( a_select3 @ u_defuse @ C @ D )
              = use )
            & ( ( a_select3 @ z_defuse @ C @ D )
              = 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 @ pv5 )
      & ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
      & ! [E: $i,F: $i] :
          ( ( ( leq @ n0 @ E )
            & ( leq @ n0 @ F )
            & ( leq @ E @ n2 )
            & ( leq @ F @ pv5 ) )
         => ( ( ( a_select3 @ u_defuse @ E @ F )
              = use )
            & ( ( a_select3 @ z_defuse @ E @ F )
              = use ) ) )
      & ! [G: $i,H: $i] :
          ( ( ( leq @ n0 @ G )
            & ( leq @ n0 @ H )
            & ( leq @ G @ n2 )
            & ( leq @ H @ ( minus @ pv5 @ n1 ) ) )
         => ( ( ( a_select3 @ u_defuse @ G @ H )
              = use )
            & ( ( a_select3 @ z_defuse @ G @ H )
              = use ) ) ) ) ) ).

thf(zf_stmt_0,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 @ pv5 )
        & ( leq @ n0 @ pv41 )
        & ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
        & ( leq @ pv41 @ ( minus @ n6 @ n1 ) )
        & ! [A: $i,B: $i] :
            ( ( ( leq @ n0 @ A )
              & ( leq @ n0 @ B )
              & ( leq @ A @ n2 )
              & ( leq @ B @ pv5 ) )
           => ( ( ( a_select3 @ u_defuse @ A @ B )
                = use )
              & ( ( a_select3 @ z_defuse @ A @ B )
                = use ) ) )
        & ! [C: $i,D: $i] :
            ( ( ( leq @ n0 @ C )
              & ( leq @ n0 @ D )
              & ( leq @ C @ n2 )
              & ( leq @ D @ ( minus @ pv5 @ n1 ) ) )
           => ( ( ( a_select3 @ u_defuse @ C @ D )
                = use )
              & ( ( a_select3 @ z_defuse @ C @ D )
                = 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 @ pv5 )
        & ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
        & ! [E: $i,F: $i] :
            ( ( ( leq @ n0 @ E )
              & ( leq @ n0 @ F )
              & ( leq @ E @ n2 )
              & ( leq @ F @ pv5 ) )
           => ( ( ( a_select3 @ u_defuse @ E @ F )
                = use )
              & ( ( a_select3 @ z_defuse @ E @ F )
                = use ) ) )
        & ! [G: $i,H: $i] :
            ( ( ( leq @ n0 @ G )
              & ( leq @ n0 @ H )
              & ( leq @ G @ n2 )
              & ( leq @ H @ ( minus @ pv5 @ n1 ) ) )
           => ( ( ( a_select3 @ u_defuse @ G @ H )
                = use )
              & ( ( a_select3 @ z_defuse @ G @ H )
                = use ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[quaternion_ds1_inuse_0005]) ).

thf(zip_derived_cl151,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X0 @ n2 )
      | ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ n0 @ X1 )
      | ~ ( leq @ X1 @ pv5 )
      | ( ( a_select3 @ u_defuse @ X0 @ X1 )
        = use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl150,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X0 @ n2 )
      | ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ n0 @ X1 )
      | ~ ( leq @ X1 @ pv5 )
      | ( ( a_select3 @ z_defuse @ X0 @ X1 )
        = use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl150_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X0 @ n2 )
      | ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ n0 @ X1 )
      | ~ ( leq @ X1 @ pv5 )
      | ( ( a_select3 @ z_defuse @ X0 @ X1 )
        = use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl154,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__29 @ sk__30 )
     != use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2605,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__29 @ sk__30 )
     != use ) ),
    inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl2606,plain,
    ( ( ( a_select3 @ z_defuse @ sk__29 @ sk__30 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2605]) ).

thf(zip_derived_cl2607,plain,
    ( ~ ( leq @ sk__30 @ pv5 )
    | ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n2 )
    | ( use != use )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl2606]) ).

thf(zip_derived_cl2608,plain,
    ( ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ~ ( leq @ sk__29 @ n2 )
    | ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ pv5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2607]) ).

thf(zip_derived_cl151_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X0 @ n2 )
      | ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ n0 @ X1 )
      | ~ ( leq @ X1 @ pv5 )
      | ( ( a_select3 @ u_defuse @ X0 @ X1 )
        = use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7896,plain,
    ( ~ ( leq @ sk__30 @ pv5 )
    | ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n2 )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use ) ),
    inference(clc,[status(thm)],[zip_derived_cl2608,zip_derived_cl151]) ).

thf(zip_derived_cl156,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ( leq @ n0 @ sk__30 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_003,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_004,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_005,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_006,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_007,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_008,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_009,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_010,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_011,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_012,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_013,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_014,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_015,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_016,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_017,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_018,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_019,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_020,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_021,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_022,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_023,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_024,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_025,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_026,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_027,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_028,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_029,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_030,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_031,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2639,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ( leq @ n0 @ sk__30 ) ),
    inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl2640,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2639]) ).

thf(zip_derived_cl7897,plain,
    ( ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ~ ( leq @ sk__29 @ n2 )
    | ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__30 @ pv5 ) ),
    inference(clc,[status(thm)],[zip_derived_cl7896,zip_derived_cl2640]) ).

thf(zip_derived_cl158,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ( leq @ sk__29 @ n2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_032,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_033,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_034,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_035,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_036,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_037,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_038,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_039,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_040,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_041,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_042,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_043,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_044,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_045,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_046,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_047,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_048,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_049,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_050,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_051,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_052,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_053,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_054,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_055,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_056,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_057,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_058,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_059,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_060,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2671,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ( leq @ sk__29 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl158,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl2672,plain,
    ( ( leq @ sk__29 @ n2 )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2671]) ).

thf(zip_derived_cl7898,plain,
    ( ~ ( leq @ sk__30 @ pv5 )
    | ~ ( leq @ n0 @ sk__29 )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use ) ),
    inference(clc,[status(thm)],[zip_derived_cl7897,zip_derived_cl2672]) ).

thf(zip_derived_cl157,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ( leq @ n0 @ sk__29 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_061,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_062,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_063,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_064,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_065,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_066,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_067,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_068,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_069,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_070,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_071,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_072,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_073,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_074,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_075,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_076,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_077,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_078,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_079,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_080,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_081,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_082,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_083,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_084,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_085,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_086,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_087,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_088,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_089,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2666,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ( leq @ n0 @ sk__29 ) ),
    inference(demod,[status(thm)],[zip_derived_cl157,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl2667,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2666]) ).

thf(zip_derived_cl7899,plain,
    ( ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ~ ( leq @ sk__30 @ pv5 ) ),
    inference(clc,[status(thm)],[zip_derived_cl7898,zip_derived_cl2667]) ).

thf(zip_derived_cl150_090,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X0 @ n2 )
      | ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ n0 @ X1 )
      | ~ ( leq @ X1 @ pv5 )
      | ( ( a_select3 @ z_defuse @ X0 @ X1 )
        = use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl151_091,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X0 @ n2 )
      | ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ n0 @ X1 )
      | ~ ( leq @ X1 @ pv5 )
      | ( ( a_select3 @ u_defuse @ X0 @ X1 )
        = use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl155,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ( leq @ sk__30 @ ( minus @ pv5 @ n1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_092,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_093,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_094,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_095,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_096,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_097,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_098,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_099,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_100,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_101,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_102,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_103,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_104,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_105,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_106,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_107,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_108,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_109,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_110,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_111,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_112,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_113,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_114,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_115,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_116,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_117,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_118,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_119,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_120,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2615,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ( leq @ sk__30 @ ( minus @ pv5 @ n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl2616,plain,
    ( ( leq @ sk__30 @ ( minus @ pv5 @ n1 ) )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2615]) ).

thf(zip_derived_cl2617,plain,
    ( ~ ( leq @ sk__28 @ pv5 )
    | ~ ( leq @ n0 @ sk__28 )
    | ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ( leq @ sk__30 @ ( minus @ pv5 @ n1 ) )
    | ( use != use )
    | ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl2616]) ).

thf(zip_derived_cl2618,plain,
    ( ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use )
    | ( leq @ sk__30 @ ( minus @ pv5 @ n1 ) )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__28 @ pv5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2617]) ).

thf(zip_derived_cl150_121,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X0 @ n2 )
      | ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ n0 @ X1 )
      | ~ ( leq @ X1 @ pv5 )
      | ( ( a_select3 @ z_defuse @ X0 @ X1 )
        = use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl174,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ sk__27 @ n2 )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__29 @ sk__30 )
     != use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_122,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_123,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_124,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_125,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_126,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_127,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_128,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_129,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_130,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_131,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_132,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_133,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_134,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_135,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_136,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_137,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_138,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_139,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_140,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_141,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_142,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_143,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_144,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_145,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_146,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_147,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_148,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_149,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_150,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3185,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ sk__27 @ n2 )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__29 @ sk__30 )
     != use ) ),
    inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl3186,plain,
    ( ( ( a_select3 @ z_defuse @ sk__29 @ sk__30 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ( leq @ sk__27 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3185]) ).

thf(zip_derived_cl3187,plain,
    ( ~ ( leq @ sk__30 @ pv5 )
    | ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n2 )
    | ( use != use )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ( leq @ sk__27 @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl3186]) ).

thf(zip_derived_cl3188,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ~ ( leq @ sk__29 @ n2 )
    | ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ pv5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3187]) ).

thf(zip_derived_cl151_151,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X0 @ n2 )
      | ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ n0 @ X1 )
      | ~ ( leq @ X1 @ pv5 )
      | ( ( a_select3 @ u_defuse @ X0 @ X1 )
        = use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7331,plain,
    ( ~ ( leq @ sk__30 @ pv5 )
    | ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n2 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3188,zip_derived_cl151]) ).

thf(zip_derived_cl175,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ sk__27 @ n2 )
    | ( leq @ sk__30 @ ( minus @ pv5 @ n1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_152,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_153,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_154,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_155,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_156,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_157,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_158,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_159,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_160,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_161,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_162,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_163,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_164,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_165,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_166,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_167,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_168,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_169,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_170,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_171,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_172,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_173,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_174,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_175,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_176,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_177,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_178,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_179,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_180,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3193,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ sk__27 @ n2 )
    | ( leq @ sk__30 @ ( minus @ pv5 @ n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl175,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl3194,plain,
    ( ( leq @ sk__30 @ ( minus @ pv5 @ n1 ) )
    | ( leq @ sk__27 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3193]) ).

thf(succ_pred,axiom,
    ! [X: $i] :
      ( ( succ @ ( pred @ X ) )
      = X ) ).

thf(zip_derived_cl100,plain,
    ! [X0: $i] :
      ( ( succ @ ( pred @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[succ_pred]) ).

thf(leq_succ,axiom,
    ! [X: $i,Y: $i] :
      ( ( leq @ X @ Y )
     => ( leq @ X @ ( succ @ Y ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ ( succ @ X1 ) )
      | ~ ( leq @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[leq_succ]) ).

thf(zip_derived_cl1867,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X1 @ X0 )
      | ~ ( leq @ X1 @ ( pred @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl100,zip_derived_cl14]) ).

thf(pred_minus_1,axiom,
    ! [X: $i] :
      ( ( minus @ X @ n1 )
      = ( pred @ X ) ) ).

thf(zip_derived_cl98,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl2099,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X1 @ X0 )
      | ~ ( leq @ X1 @ ( minus @ X0 @ n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1867,zip_derived_cl98]) ).

thf(zip_derived_cl3196,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ sk__30 @ pv5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3194,zip_derived_cl2099]) ).

thf(zip_derived_cl7332,plain,
    ( ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__29 @ n2 )
    | ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(clc,[status(thm)],[zip_derived_cl7331,zip_derived_cl3196]) ).

thf(zip_derived_cl178,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ sk__27 @ n2 )
    | ( leq @ sk__29 @ n2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_181,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_182,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_183,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_184,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_185,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_186,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_187,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_188,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_189,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_190,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_191,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_192,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_193,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_194,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_195,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_196,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_197,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_198,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_199,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_200,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_201,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_202,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_203,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_204,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_205,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_206,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_207,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_208,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_209,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3422,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ sk__27 @ n2 )
    | ( leq @ sk__29 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl3423,plain,
    ( ( leq @ sk__29 @ n2 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3422]) ).

thf(zip_derived_cl7333,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ n0 @ sk__29 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl7332,zip_derived_cl3423]) ).

thf(zip_derived_cl176,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_210,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_211,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_212,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_213,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_214,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_215,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_216,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_217,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_218,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_219,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_220,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_221,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_222,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_223,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_224,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_225,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_226,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_227,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_228,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_229,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_230,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_231,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_232,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_233,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_234,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_235,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_236,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_237,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_238,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3198,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(demod,[status(thm)],[zip_derived_cl176,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl3199,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3198]) ).

thf(zip_derived_cl7334,plain,
    ( ( leq @ sk__27 @ n2 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(clc,[status(thm)],[zip_derived_cl7333,zip_derived_cl3199]) ).

thf(zip_derived_cl177,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__29 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_239,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_240,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_241,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_242,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_243,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_244,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_245,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_246,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_247,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_248,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_249,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_250,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_251,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_252,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_253,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_254,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_255,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_256,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_257,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_258,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_259,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_260,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_261,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_262,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_263,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_264,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_265,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_266,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_267,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3313,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__29 ) ),
    inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl3314,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3313]) ).

thf(zip_derived_cl7335,plain,
    leq @ sk__27 @ n2,
    inference(clc,[status(thm)],[zip_derived_cl7334,zip_derived_cl3314]) ).

thf(zip_derived_cl150_268,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X0 @ n2 )
      | ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ n0 @ X1 )
      | ~ ( leq @ X1 @ pv5 )
      | ( ( a_select3 @ z_defuse @ X0 @ X1 )
        = use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl169,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ n0 @ sk__27 )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__29 @ sk__30 )
     != use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_269,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_270,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_271,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_272,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_273,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_274,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_275,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_276,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_277,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_278,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_279,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_280,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_281,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_282,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_283,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_284,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_285,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_286,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_287,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_288,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_289,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_290,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_291,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_292,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_293,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_294,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_295,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_296,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_297,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2964,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ n0 @ sk__27 )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__29 @ sk__30 )
     != use ) ),
    inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl2965,plain,
    ( ( ( a_select3 @ z_defuse @ sk__29 @ sk__30 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2964]) ).

thf(zip_derived_cl2966,plain,
    ( ~ ( leq @ sk__30 @ pv5 )
    | ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n2 )
    | ( use != use )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ( leq @ n0 @ sk__27 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl2965]) ).

thf(zip_derived_cl2967,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ~ ( leq @ sk__29 @ n2 )
    | ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ pv5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2966]) ).

thf(zip_derived_cl151_298,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X0 @ n2 )
      | ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ n0 @ X1 )
      | ~ ( leq @ X1 @ pv5 )
      | ( ( a_select3 @ u_defuse @ X0 @ X1 )
        = use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5802,plain,
    ( ~ ( leq @ sk__30 @ pv5 )
    | ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n2 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2967,zip_derived_cl151]) ).

thf(zip_derived_cl170,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ n0 @ sk__27 )
    | ( leq @ sk__30 @ ( minus @ pv5 @ n1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_299,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_300,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_301,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_302,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_303,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_304,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_305,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_306,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_307,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_308,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_309,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_310,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_311,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_312,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_313,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_314,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_315,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_316,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_317,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_318,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_319,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_320,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_321,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_322,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_323,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_324,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_325,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_326,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_327,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2971,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ n0 @ sk__27 )
    | ( leq @ sk__30 @ ( minus @ pv5 @ n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl2972,plain,
    ( ( leq @ sk__30 @ ( minus @ pv5 @ n1 ) )
    | ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2971]) ).

thf(zip_derived_cl2099_328,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X1 @ X0 )
      | ~ ( leq @ X1 @ ( minus @ X0 @ n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1867,zip_derived_cl98]) ).

thf(zip_derived_cl2974,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ sk__30 @ pv5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2972,zip_derived_cl2099]) ).

thf(zip_derived_cl5803,plain,
    ( ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__29 @ n2 )
    | ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5802,zip_derived_cl2974]) ).

thf(zip_derived_cl173,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ n0 @ sk__27 )
    | ( leq @ sk__29 @ n2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_329,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_330,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_331,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_332,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_333,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_334,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_335,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_336,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_337,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_338,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_339,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_340,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_341,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_342,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_343,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_344,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_345,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_346,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_347,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_348,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_349,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_350,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_351,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_352,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_353,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_354,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_355,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_356,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_357,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3161,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ n0 @ sk__27 )
    | ( leq @ sk__29 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl3162,plain,
    ( ( leq @ sk__29 @ n2 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3161]) ).

thf(zip_derived_cl5804,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5803,zip_derived_cl3162]) ).

thf(zip_derived_cl171,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ n0 @ sk__27 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_358,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_359,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_360,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_361,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_362,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_363,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_364,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_365,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_366,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_367,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_368,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_369,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_370,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_371,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_372,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_373,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_374,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_375,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_376,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_377,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_378,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_379,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_380,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_381,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_382,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_383,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_384,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_385,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_386,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2983,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ n0 @ sk__27 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl2984,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2983]) ).

thf(zip_derived_cl5805,plain,
    ( ( leq @ n0 @ sk__27 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5804,zip_derived_cl2984]) ).

thf(zip_derived_cl172,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ n0 @ sk__27 )
    | ( leq @ n0 @ sk__29 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_387,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_388,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_389,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_390,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_391,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_392,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_393,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_394,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_395,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_396,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_397,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_398,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_399,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_400,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_401,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_402,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_403,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_404,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_405,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_406,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_407,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_408,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_409,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_410,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_411,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_412,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_413,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_414,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_415,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3123,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ n0 @ sk__27 )
    | ( leq @ n0 @ sk__29 ) ),
    inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl3124,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3123]) ).

thf(zip_derived_cl5806,plain,
    leq @ n0 @ sk__27,
    inference(clc,[status(thm)],[zip_derived_cl5805,zip_derived_cl3124]) ).

thf(zip_derived_cl150_416,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X0 @ n2 )
      | ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ n0 @ X1 )
      | ~ ( leq @ X1 @ pv5 )
      | ( ( a_select3 @ z_defuse @ X0 @ X1 )
        = use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl164,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ n0 @ sk__28 )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__29 @ sk__30 )
     != use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_417,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_418,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_419,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_420,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_421,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_422,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_423,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_424,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_425,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_426,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_427,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_428,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_429,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_430,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_431,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_432,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_433,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_434,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_435,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_436,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_437,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_438,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_439,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_440,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_441,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_442,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_443,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_444,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_445,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2792,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ n0 @ sk__28 )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__29 @ sk__30 )
     != use ) ),
    inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl2793,plain,
    ( ( ( a_select3 @ z_defuse @ sk__29 @ sk__30 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ( leq @ n0 @ sk__28 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2792]) ).

thf(zip_derived_cl2794,plain,
    ( ~ ( leq @ sk__30 @ pv5 )
    | ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n2 )
    | ( use != use )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ( leq @ n0 @ sk__28 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl2793]) ).

thf(zip_derived_cl2795,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ~ ( leq @ sk__29 @ n2 )
    | ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ pv5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2794]) ).

thf(zip_derived_cl151_446,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X0 @ n2 )
      | ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ n0 @ X1 )
      | ~ ( leq @ X1 @ pv5 )
      | ( ( a_select3 @ u_defuse @ X0 @ X1 )
        = use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5394,plain,
    ( ~ ( leq @ sk__30 @ pv5 )
    | ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n2 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2795,zip_derived_cl151]) ).

thf(zip_derived_cl165,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ n0 @ sk__28 )
    | ( leq @ sk__30 @ ( minus @ pv5 @ n1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_447,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_448,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_449,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_450,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_451,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_452,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_453,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_454,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_455,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_456,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_457,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_458,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_459,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_460,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_461,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_462,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_463,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_464,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_465,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_466,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_467,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_468,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_469,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_470,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_471,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_472,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_473,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_474,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_475,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2832,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ n0 @ sk__28 )
    | ( leq @ sk__30 @ ( minus @ pv5 @ n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl2833,plain,
    ( ( leq @ sk__30 @ ( minus @ pv5 @ n1 ) )
    | ( leq @ n0 @ sk__28 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2832]) ).

thf(zip_derived_cl2099_476,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X1 @ X0 )
      | ~ ( leq @ X1 @ ( minus @ X0 @ n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1867,zip_derived_cl98]) ).

thf(zip_derived_cl2835,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ sk__30 @ pv5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2833,zip_derived_cl2099]) ).

thf(zip_derived_cl5395,plain,
    ( ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__29 @ n2 )
    | ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5394,zip_derived_cl2835]) ).

thf(zip_derived_cl168,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ n0 @ sk__28 )
    | ( leq @ sk__29 @ n2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_477,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_478,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_479,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_480,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_481,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_482,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_483,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_484,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_485,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_486,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_487,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_488,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_489,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_490,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_491,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_492,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_493,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_494,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_495,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_496,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_497,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_498,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_499,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_500,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_501,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_502,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_503,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_504,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_505,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2953,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ n0 @ sk__28 )
    | ( leq @ sk__29 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl2954,plain,
    ( ( leq @ sk__29 @ n2 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2953]) ).

thf(zip_derived_cl5396,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5395,zip_derived_cl2954]) ).

thf(zip_derived_cl166,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_506,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_507,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_508,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_509,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_510,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_511,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_512,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_513,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_514,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_515,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_516,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_517,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_518,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_519,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_520,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_521,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_522,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_523,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_524,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_525,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_526,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_527,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_528,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_529,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_530,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_531,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_532,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_533,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_534,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2856,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl2857,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2856]) ).

thf(zip_derived_cl5397,plain,
    ( ( leq @ n0 @ sk__28 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5396,zip_derived_cl2857]) ).

thf(zip_derived_cl167,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__29 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_535,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_536,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_537,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_538,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_539,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_540,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_541,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_542,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_543,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_544,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_545,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_546,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_547,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_548,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_549,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_550,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_551,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_552,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_553,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_554,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_555,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_556,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_557,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_558,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_559,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_560,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_561,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_562,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_563,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2898,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__29 ) ),
    inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl2899,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2898]) ).

thf(zip_derived_cl5398,plain,
    leq @ n0 @ sk__28,
    inference(clc,[status(thm)],[zip_derived_cl5397,zip_derived_cl2899]) ).

thf(zip_derived_cl150_564,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X0 @ n2 )
      | ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ n0 @ X1 )
      | ~ ( leq @ X1 @ pv5 )
      | ( ( a_select3 @ z_defuse @ X0 @ X1 )
        = use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl159,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ sk__28 @ pv5 )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__29 @ sk__30 )
     != use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_565,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_566,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_567,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_568,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_569,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_570,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_571,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_572,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_573,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_574,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_575,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_576,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_577,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_578,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_579,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_580,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_581,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_582,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_583,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_584,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_585,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_586,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_587,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_588,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_589,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_590,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_591,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_592,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_593,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2679,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ sk__28 @ pv5 )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__29 @ sk__30 )
     != use ) ),
    inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl2680,plain,
    ( ( ( a_select3 @ z_defuse @ sk__29 @ sk__30 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ( leq @ sk__28 @ pv5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2679]) ).

thf(zip_derived_cl2681,plain,
    ( ~ ( leq @ sk__30 @ pv5 )
    | ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n2 )
    | ( use != use )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ( leq @ sk__28 @ pv5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl2680]) ).

thf(zip_derived_cl2682,plain,
    ( ( leq @ sk__28 @ pv5 )
    | ( ( a_select3 @ u_defuse @ sk__29 @ sk__30 )
     != use )
    | ~ ( leq @ sk__29 @ n2 )
    | ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ pv5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2681]) ).

thf(zip_derived_cl151_594,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X0 @ n2 )
      | ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ n0 @ X1 )
      | ~ ( leq @ X1 @ pv5 )
      | ( ( a_select3 @ u_defuse @ X0 @ X1 )
        = use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4844,plain,
    ( ~ ( leq @ sk__30 @ pv5 )
    | ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n2 )
    | ( leq @ sk__28 @ pv5 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2682,zip_derived_cl151]) ).

thf(zip_derived_cl160,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ sk__28 @ pv5 )
    | ( leq @ sk__30 @ ( minus @ pv5 @ n1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_595,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_596,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_597,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_598,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_599,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_600,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_601,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_602,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_603,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_604,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_605,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_606,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_607,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_608,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_609,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_610,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_611,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_612,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_613,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_614,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_615,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_616,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_617,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_618,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_619,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_620,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_621,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_622,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_623,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2692,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ sk__28 @ pv5 )
    | ( leq @ sk__30 @ ( minus @ pv5 @ n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl160,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl2693,plain,
    ( ( leq @ sk__30 @ ( minus @ pv5 @ n1 ) )
    | ( leq @ sk__28 @ pv5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2692]) ).

thf(zip_derived_cl2099_624,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X1 @ X0 )
      | ~ ( leq @ X1 @ ( minus @ X0 @ n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1867,zip_derived_cl98]) ).

thf(zip_derived_cl2695,plain,
    ( ( leq @ sk__28 @ pv5 )
    | ( leq @ sk__30 @ pv5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2693,zip_derived_cl2099]) ).

thf(zip_derived_cl4845,plain,
    ( ( leq @ sk__28 @ pv5 )
    | ~ ( leq @ sk__29 @ n2 )
    | ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(clc,[status(thm)],[zip_derived_cl4844,zip_derived_cl2695]) ).

thf(zip_derived_cl163,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ sk__28 @ pv5 )
    | ( leq @ sk__29 @ n2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_625,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_626,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_627,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_628,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_629,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_630,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_631,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_632,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_633,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_634,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_635,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_636,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_637,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_638,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_639,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_640,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_641,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_642,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_643,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_644,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_645,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_646,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_647,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_648,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_649,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_650,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_651,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_652,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_653,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2759,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ sk__28 @ pv5 )
    | ( leq @ sk__29 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl163,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl2760,plain,
    ( ( leq @ sk__29 @ n2 )
    | ( leq @ sk__28 @ pv5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2759]) ).

thf(zip_derived_cl4846,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ pv5 ) ),
    inference(clc,[status(thm)],[zip_derived_cl4845,zip_derived_cl2760]) ).

thf(zip_derived_cl161,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ sk__28 @ pv5 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_654,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_655,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_656,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_657,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_658,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_659,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_660,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_661,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_662,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_663,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_664,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_665,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_666,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_667,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_668,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_669,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_670,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_671,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_672,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_673,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_674,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_675,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_676,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_677,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_678,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_679,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_680,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_681,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_682,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2732,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ sk__28 @ pv5 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl2733,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( leq @ sk__28 @ pv5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2732]) ).

thf(zip_derived_cl4847,plain,
    ( ( leq @ sk__28 @ pv5 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(clc,[status(thm)],[zip_derived_cl4846,zip_derived_cl2733]) ).

thf(zip_derived_cl162,plain,
    ( ( ( 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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ sk__28 @ pv5 )
    | ( leq @ n0 @ sk__29 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_683,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_684,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_685,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_686,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_687,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_688,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_689,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_690,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_691,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_692,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_693,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_694,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_695,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_696,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_697,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_698,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_699,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_700,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_701,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_702,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_703,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_704,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_705,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_706,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_707,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_708,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_709,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_710,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_711,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2754,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ sk__28 @ pv5 )
    | ( leq @ n0 @ sk__29 ) ),
    inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl146,zip_derived_cl148]) ).

thf(zip_derived_cl2755,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ pv5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2754]) ).

thf(zip_derived_cl4848,plain,
    leq @ sk__28 @ pv5,
    inference(clc,[status(thm)],[zip_derived_cl4847,zip_derived_cl2755]) ).

thf(zip_derived_cl7928,plain,
    ( ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use )
    | ( leq @ sk__30 @ ( minus @ pv5 @ n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2618,zip_derived_cl7335,zip_derived_cl5806,zip_derived_cl5398,zip_derived_cl4848]) ).

thf(zip_derived_cl7929,plain,
    ( ~ ( leq @ sk__28 @ pv5 )
    | ~ ( leq @ n0 @ sk__28 )
    | ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ( use != use )
    | ( leq @ sk__30 @ ( minus @ pv5 @ n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl7928]) ).

thf(zip_derived_cl4848_712,plain,
    leq @ sk__28 @ pv5,
    inference(clc,[status(thm)],[zip_derived_cl4847,zip_derived_cl2755]) ).

thf(zip_derived_cl5398_713,plain,
    leq @ n0 @ sk__28,
    inference(clc,[status(thm)],[zip_derived_cl5397,zip_derived_cl2899]) ).

thf(zip_derived_cl5806_714,plain,
    leq @ n0 @ sk__27,
    inference(clc,[status(thm)],[zip_derived_cl5805,zip_derived_cl3124]) ).

thf(zip_derived_cl7335_715,plain,
    leq @ sk__27 @ n2,
    inference(clc,[status(thm)],[zip_derived_cl7334,zip_derived_cl3314]) ).

thf(zip_derived_cl7931,plain,
    ( ( use != use )
    | ( leq @ sk__30 @ ( minus @ pv5 @ n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7929,zip_derived_cl4848,zip_derived_cl5398,zip_derived_cl5806,zip_derived_cl7335]) ).

thf(zip_derived_cl7932,plain,
    leq @ sk__30 @ ( minus @ pv5 @ n1 ),
    inference(simplify,[status(thm)],[zip_derived_cl7931]) ).

thf(zip_derived_cl2099_716,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X1 @ X0 )
      | ~ ( leq @ X1 @ ( minus @ X0 @ n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1867,zip_derived_cl98]) ).

thf(zip_derived_cl8222,plain,
    leq @ sk__30 @ pv5,
    inference('s_sup-',[status(thm)],[zip_derived_cl7932,zip_derived_cl2099]) ).

thf(zip_derived_cl8484,plain,
    ( ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use ) ),
    inference(demod,[status(thm)],[zip_derived_cl7899,zip_derived_cl8222]) ).

thf(zip_derived_cl18651,plain,
    ( ~ ( leq @ sk__28 @ pv5 )
    | ~ ( leq @ n0 @ sk__28 )
    | ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ( use != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl8484]) ).

thf(zip_derived_cl4848_717,plain,
    leq @ sk__28 @ pv5,
    inference(clc,[status(thm)],[zip_derived_cl4847,zip_derived_cl2755]) ).

thf(zip_derived_cl5398_718,plain,
    leq @ n0 @ sk__28,
    inference(clc,[status(thm)],[zip_derived_cl5397,zip_derived_cl2899]) ).

thf(zip_derived_cl5806_719,plain,
    leq @ n0 @ sk__27,
    inference(clc,[status(thm)],[zip_derived_cl5805,zip_derived_cl3124]) ).

thf(zip_derived_cl7335_720,plain,
    leq @ sk__27 @ n2,
    inference(clc,[status(thm)],[zip_derived_cl7334,zip_derived_cl3314]) ).

thf(zip_derived_cl18653,plain,
    ( ( use != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use ) ),
    inference(demod,[status(thm)],[zip_derived_cl18651,zip_derived_cl4848,zip_derived_cl5398,zip_derived_cl5806,zip_derived_cl7335]) ).

thf(zip_derived_cl18654,plain,
    ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
   != use ),
    inference(simplify,[status(thm)],[zip_derived_cl18653]) ).

thf(zip_derived_cl18748,plain,
    ( ~ ( leq @ sk__28 @ pv5 )
    | ~ ( leq @ n0 @ sk__28 )
    | ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ( use != use ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl18654]) ).

thf(zip_derived_cl4848_721,plain,
    leq @ sk__28 @ pv5,
    inference(clc,[status(thm)],[zip_derived_cl4847,zip_derived_cl2755]) ).

thf(zip_derived_cl5398_722,plain,
    leq @ n0 @ sk__28,
    inference(clc,[status(thm)],[zip_derived_cl5397,zip_derived_cl2899]) ).

thf(zip_derived_cl5806_723,plain,
    leq @ n0 @ sk__27,
    inference(clc,[status(thm)],[zip_derived_cl5805,zip_derived_cl3124]) ).

thf(zip_derived_cl7335_724,plain,
    leq @ sk__27 @ n2,
    inference(clc,[status(thm)],[zip_derived_cl7334,zip_derived_cl3314]) ).

thf(zip_derived_cl18750,plain,
    use != use,
    inference(demod,[status(thm)],[zip_derived_cl18748,zip_derived_cl4848,zip_derived_cl5398,zip_derived_cl5806,zip_derived_cl7335]) ).

thf(zip_derived_cl18751,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl18750]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV093+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1Gqsz9LCPM true
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 10:00:56 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.34  % Number of cores: 8
% 0.19/0.34  % Python version: Python 3.6.8
% 0.19/0.35  % Running in FO mode
% 0.55/0.65  % Total configuration time : 435
% 0.55/0.65  % Estimated wc time : 1092
% 0.55/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 50.89/7.89  % Solved by fo/fo6_bce.sh.
% 50.89/7.89  % BCE start: 228
% 50.89/7.89  % BCE eliminated: 1
% 50.89/7.89  % PE start: 227
% 50.89/7.89  logic: eq
% 50.89/7.89  % PE eliminated: 13
% 50.89/7.89  % done 2110 iterations in 7.100s
% 50.89/7.89  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 50.89/7.89  % SZS output start Refutation
% See solution above
% 50.89/7.89  
% 50.89/7.89  
% 50.89/7.89  % Terminating...
% 50.89/7.97  % Runner terminated.
% 50.89/7.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------