%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV042+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.wf5i7CdP5A true

% Computer : n025.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 00:07:22 EDT 2023

% Result   : Theorem 32.38s 5.23s
% Output   : Refutation 32.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   87
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  894 ( 183 unt;  24 typ;   0 def)
%            Number of atoms       : 3065 (1090 equ;   0 cnn)
%            Maximal formula atoms :   30 (   3 avg)
%            Number of connectives : 8571 (1461   ~;2137   |;  36   &;4915   @)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   26 (  24 usr;  17 con; 0-3 aty)
%            Number of variables   :  104 (   0   ^; 104   !;   0   ?; 104   :)

% Comments : 
%------------------------------------------------------------------------------
thf(pvar1401_init_type,type,
    pvar1401_init: $i ).

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

thf(n3_type,type,
    n3: $i ).

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

thf(plus_type,type,
    plus: $i > $i > $i ).

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

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

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

thf(loopcounter_type,type,
    loopcounter: $i ).

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

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

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

thf(gt_type,type,
    gt: $i > $i > $o ).

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

thf(simplex7_init_type,type,
    simplex7_init: $i ).

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

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

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

thf(s_values7_init_type,type,
    s_values7_init: $i ).

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

thf(init_type,type,
    init: $i ).

thf(pvar1402_init_type,type,
    pvar1402_init: $i ).

thf(s_center7_init_type,type,
    s_center7_init: $i ).

thf(pvar1400_init_type,type,
    pvar1400_init: $i ).

thf(gauss_init_0081,conjecture,
    ( ( ! [A: $i] :
          ( ( ( leq @ n0 @ A )
            & ( leq @ A @ n2 ) )
         => ! [B: $i] :
              ( ( ( leq @ n0 @ B )
                & ( leq @ B @ n3 ) )
             => ( ( a_select3 @ simplex7_init @ B @ A )
                = init ) ) )
      & ! [C: $i] :
          ( ( ( leq @ n0 @ C )
            & ( leq @ C @ n3 ) )
         => ( ( a_select2 @ s_values7_init @ C )
            = init ) )
      & ! [D: $i] :
          ( ( ( leq @ n0 @ D )
            & ( leq @ D @ ( minus @ ( plus @ n1 @ n2 ) @ n1 ) ) )
         => ( ( a_select2 @ s_center7_init @ D )
            = init ) )
      & ( ( gt @ loopcounter @ n1 )
       => ( ( pvar1400_init = init )
          & ( pvar1401_init = init )
          & ( pvar1402_init = init ) ) ) )
   => ( ! [E: $i] :
          ( ( ( leq @ n0 @ E )
            & ( leq @ E @ n2 ) )
         => ! [F: $i] :
              ( ( ( leq @ n0 @ F )
                & ( leq @ F @ n3 ) )
             => ( ( a_select3 @ simplex7_init @ F @ E )
                = init ) ) )
      & ! [G: $i] :
          ( ( ( leq @ n0 @ G )
            & ( leq @ G @ n3 ) )
         => ( ( a_select2 @ s_values7_init @ G )
            = init ) )
      & ! [H: $i] :
          ( ( ( leq @ n0 @ H )
            & ( leq @ H @ n2 ) )
         => ( ( a_select2 @ s_center7_init @ H )
            = init ) )
      & ( ( gt @ loopcounter @ n1 )
       => ( ( pvar1400_init = init )
          & ( pvar1401_init = init )
          & ( pvar1402_init = init ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [A: $i] :
            ( ( ( leq @ n0 @ A )
              & ( leq @ A @ n2 ) )
           => ! [B: $i] :
                ( ( ( leq @ n0 @ B )
                  & ( leq @ B @ n3 ) )
               => ( ( a_select3 @ simplex7_init @ B @ A )
                  = init ) ) )
        & ! [C: $i] :
            ( ( ( leq @ n0 @ C )
              & ( leq @ C @ n3 ) )
           => ( ( a_select2 @ s_values7_init @ C )
              = init ) )
        & ! [D: $i] :
            ( ( ( leq @ n0 @ D )
              & ( leq @ D @ ( minus @ ( plus @ n1 @ n2 ) @ n1 ) ) )
           => ( ( a_select2 @ s_center7_init @ D )
              = init ) )
        & ( ( gt @ loopcounter @ n1 )
         => ( ( pvar1400_init = init )
            & ( pvar1401_init = init )
            & ( pvar1402_init = init ) ) ) )
     => ( ! [E: $i] :
            ( ( ( leq @ n0 @ E )
              & ( leq @ E @ n2 ) )
           => ! [F: $i] :
                ( ( ( leq @ n0 @ F )
                  & ( leq @ F @ n3 ) )
               => ( ( a_select3 @ simplex7_init @ F @ E )
                  = init ) ) )
        & ! [G: $i] :
            ( ( ( leq @ n0 @ G )
              & ( leq @ G @ n3 ) )
           => ( ( a_select2 @ s_values7_init @ G )
              = init ) )
        & ! [H: $i] :
            ( ( ( leq @ n0 @ H )
              & ( leq @ H @ n2 ) )
           => ( ( a_select2 @ s_center7_init @ H )
              = init ) )
        & ( ( gt @ loopcounter @ n1 )
         => ( ( pvar1400_init = init )
            & ( pvar1401_init = init )
            & ( pvar1402_init = init ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[gauss_init_0081]) ).

thf(zip_derived_cl121,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ ( minus @ ( plus @ n1 @ n2 ) @ n1 ) )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(succ_plus_1_l,axiom,
    ! [X: $i] :
      ( ( plus @ n1 @ X )
      = ( succ @ X ) ) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i] :
      ( ( plus @ n1 @ X0 )
      = ( succ @ X0 ) ),
    inference(cnf,[status(esa)],[succ_plus_1_l]) ).

thf(successor_3,axiom,
    ( ( succ @ ( succ @ ( succ @ n0 ) ) )
    = n3 ) ).

thf(zip_derived_cl246,plain,
    ( ( succ @ ( succ @ ( succ @ n0 ) ) )
    = n3 ),
    inference(cnf,[status(esa)],[successor_3]) ).

thf(successor_1,axiom,
    ( ( succ @ n0 )
    = n1 ) ).

thf(zip_derived_cl244,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[successor_1]) ).

thf(successor_2,axiom,
    ( ( succ @ ( succ @ n0 ) )
    = n2 ) ).

thf(zip_derived_cl245,plain,
    ( ( succ @ ( succ @ n0 ) )
    = n2 ),
    inference(cnf,[status(esa)],[successor_2]) ).

thf(zip_derived_cl244_001,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[successor_1]) ).

thf(zip_derived_cl1784,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(demod,[status(thm)],[zip_derived_cl245,zip_derived_cl244]) ).

thf(zip_derived_cl2101,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(demod,[status(thm)],[zip_derived_cl246,zip_derived_cl244,zip_derived_cl1784]) ).

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_cl2101_002,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(demod,[status(thm)],[zip_derived_cl246,zip_derived_cl244,zip_derived_cl1784]) ).

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

thf(zip_derived_cl99,plain,
    ! [X0: $i] :
      ( ( pred @ ( succ @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[pred_succ]) ).

thf(zip_derived_cl2106,plain,
    ( ( pred @ n3 )
    = n2 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl2101,zip_derived_cl99]) ).

thf(zip_derived_cl2612,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl120,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl209,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122,plain,
    ( ( pvar1400_init = init )
    | ~ ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ X0 @ n3 )
      | ( ( a_select3 @ simplex7_init @ X0 @ X1 )
        = init )
      | ~ ( leq @ X1 @ n2 )
      | ~ ( leq @ n0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2612_003,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl120_004,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl174,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3243,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl174]) ).

thf(zip_derived_cl3244,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3243]) ).

thf(zip_derived_cl2612_005,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl168,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3225,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( init != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl168]) ).

thf(zip_derived_cl3226,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3225]) ).

thf(zip_derived_cl206,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_006,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ X0 @ n3 )
      | ( ( a_select3 @ simplex7_init @ X0 @ X1 )
        = init )
      | ~ ( leq @ X1 @ n2 )
      | ~ ( leq @ n0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl170,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3231,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ n0 @ sk__28 )
    | ( init != init )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl170]) ).

thf(zip_derived_cl3232,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3231]) ).

thf(zip_derived_cl120_007,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2820,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 )
    | ( init != init )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl140]) ).

thf(zip_derived_cl2821,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2820]) ).

thf(zip_derived_cl2612_008,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl132,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2717,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__28 )
    | ( leq @ sk__29 @ n3 )
    | ( init != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl132]) ).

thf(zip_derived_cl2718,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2717]) ).

thf(zip_derived_cl134,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2822,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__28 )
    | ( leq @ sk__29 @ n3 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2718,zip_derived_cl134]) ).

thf(zip_derived_cl136,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2823,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2822,zip_derived_cl136]) ).

thf(zip_derived_cl2841,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2821,zip_derived_cl2823]) ).

thf(zip_derived_cl2612_009,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl126,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2650,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__29 )
    | ( init != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl126]) ).

thf(zip_derived_cl2651,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2650]) ).

thf(zip_derived_cl128,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2769,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__29 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2651,zip_derived_cl128]) ).

thf(zip_derived_cl130,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2770,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2769,zip_derived_cl130]) ).

thf(zip_derived_cl2842,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2841,zip_derived_cl2770]) ).

thf(zip_derived_cl3480,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3232,zip_derived_cl2842]) ).

thf(zip_derived_cl188,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3481,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ n0 @ sk__27 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3480,zip_derived_cl188]) ).

thf(zip_derived_cl120_010,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl158,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3076,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ sk__28 @ n3 )
    | ( init != init )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl158]) ).

thf(zip_derived_cl3077,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3076]) ).

thf(zip_derived_cl154,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2612_011,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl150,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2927,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( leq @ sk__28 @ n3 )
    | ( leq @ sk__29 @ n3 )
    | ( init != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl150]) ).

thf(zip_derived_cl2928,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2927]) ).

thf(zip_derived_cl152,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2965,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( leq @ sk__28 @ n3 )
    | ( leq @ sk__29 @ n3 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2928,zip_derived_cl152]) ).

thf(zip_derived_cl2985,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl154,zip_derived_cl2965]) ).

thf(zip_derived_cl3080,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ n3 )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3077,zip_derived_cl2985]) ).

thf(zip_derived_cl2612_012,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl144,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2864,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( leq @ sk__28 @ n3 )
    | ( leq @ n0 @ sk__29 )
    | ( init != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl144]) ).

thf(zip_derived_cl2865,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2864]) ).

thf(zip_derived_cl146,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2929,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( leq @ sk__28 @ n3 )
    | ( leq @ n0 @ sk__29 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2865,zip_derived_cl146]) ).

thf(zip_derived_cl148,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2930,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2929,zip_derived_cl148]) ).

thf(zip_derived_cl3081,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3080,zip_derived_cl2930]) ).

thf(zip_derived_cl3482,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3481,zip_derived_cl3081]) ).

thf(zip_derived_cl3886,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ sk__29 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl206,zip_derived_cl3482]) ).

thf(zip_derived_cl5880,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3226,zip_derived_cl3886]) ).

thf(zip_derived_cl208,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_013,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ X0 @ n3 )
      | ( ( a_select3 @ simplex7_init @ X0 @ X1 )
        = init )
      | ~ ( leq @ X1 @ n2 )
      | ~ ( leq @ n0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl172,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3240,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ n0 @ sk__28 )
    | ( init != init )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl172]) ).

thf(zip_derived_cl3241,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3240]) ).

thf(zip_derived_cl2823_014,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2822,zip_derived_cl136]) ).

thf(zip_derived_cl3782,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3241,zip_derived_cl2823]) ).

thf(zip_derived_cl120_015,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl196,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3646,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ sk__27 @ n2 )
    | ( init != init )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl196]) ).

thf(zip_derived_cl3647,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3646]) ).

thf(zip_derived_cl190,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3681,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3647,zip_derived_cl190]) ).

thf(zip_derived_cl184,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3682,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3681,zip_derived_cl184]) ).

thf(zip_derived_cl3783,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ sk__29 @ n3 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ n0 @ sk__27 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3782,zip_derived_cl3682]) ).

thf(zip_derived_cl120_016,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl160,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3107,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ sk__28 @ n3 )
    | ( init != init )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl160]) ).

thf(zip_derived_cl3108,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3107]) ).

thf(zip_derived_cl2985_017,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl154,zip_derived_cl2965]) ).

thf(zip_derived_cl3109,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ n3 )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3108,zip_derived_cl2985]) ).

thf(zip_derived_cl2930_018,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2929,zip_derived_cl148]) ).

thf(zip_derived_cl3110,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3109,zip_derived_cl2930]) ).

thf(zip_derived_cl3784,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3783,zip_derived_cl3110]) ).

thf(zip_derived_cl3925,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ sk__29 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl208,zip_derived_cl3784]) ).

thf(zip_derived_cl5881,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(clc,[status(thm)],[zip_derived_cl5880,zip_derived_cl3925]) ).

thf(zip_derived_cl5902,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3244,zip_derived_cl5881]) ).

thf(zip_derived_cl2612_019,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl162,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3116,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( init != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl162]) ).

thf(zip_derived_cl3117,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3116]) ).

thf(zip_derived_cl164,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4930,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3117,zip_derived_cl164]) ).

thf(zip_derived_cl166,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4931,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(clc,[status(thm)],[zip_derived_cl4930,zip_derived_cl166]) ).

thf(zip_derived_cl5903,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(clc,[status(thm)],[zip_derived_cl5902,zip_derived_cl4931]) ).

thf(zip_derived_cl5904,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 )
    | ( init != init )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl5903]) ).

thf(zip_derived_cl5905,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( gt @ loopcounter @ n1 )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5904]) ).

thf(zip_derived_cl119_020,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ X0 @ n3 )
      | ( ( a_select3 @ simplex7_init @ X0 @ X1 )
        = init )
      | ~ ( leq @ X1 @ n2 )
      | ~ ( leq @ n0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_021,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl176,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3288,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( init != init )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl176]) ).

thf(zip_derived_cl3289,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__30 @ n2 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3288]) ).

thf(zip_derived_cl5881_022,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(clc,[status(thm)],[zip_derived_cl5880,zip_derived_cl3925]) ).

thf(zip_derived_cl5908,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3289,zip_derived_cl5881]) ).

thf(zip_derived_cl4931_023,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(clc,[status(thm)],[zip_derived_cl4930,zip_derived_cl166]) ).

thf(zip_derived_cl5909,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__30 @ n2 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(clc,[status(thm)],[zip_derived_cl5908,zip_derived_cl4931]) ).

thf(zip_derived_cl5910,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ n0 @ sk__28 )
    | ( gt @ loopcounter @ n1 )
    | ( leq @ sk__30 @ n2 )
    | ( init != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl5909]) ).

thf(zip_derived_cl5911,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 )
    | ~ ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5910]) ).

thf(zip_derived_cl2612_024,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl120_025,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2798,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl138]) ).

thf(zip_derived_cl2799,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2798]) ).

thf(zip_derived_cl2823_026,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2822,zip_derived_cl136]) ).

thf(zip_derived_cl5714,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2799,zip_derived_cl2823]) ).

thf(zip_derived_cl2770_027,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2769,zip_derived_cl130]) ).

thf(zip_derived_cl5715,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5714,zip_derived_cl2770]) ).

thf(zip_derived_cl5716,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 )
    | ( init != init )
    | ( leq @ n0 @ sk__28 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl5715]) ).

thf(zip_derived_cl5717,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( gt @ loopcounter @ n1 )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5716]) ).

thf(zip_derived_cl2842_028,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2841,zip_derived_cl2770]) ).

thf(zip_derived_cl5718,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5717,zip_derived_cl2842]) ).

thf(zip_derived_cl120_029,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2839,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 )
    | ( init != init )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl142]) ).

thf(zip_derived_cl2840,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2839]) ).

thf(zip_derived_cl2823_030,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2822,zip_derived_cl136]) ).

thf(zip_derived_cl2916,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2840,zip_derived_cl2823]) ).

thf(zip_derived_cl2770_031,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2769,zip_derived_cl130]) ).

thf(zip_derived_cl2917,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2916,zip_derived_cl2770]) ).

thf(zip_derived_cl5719,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5718,zip_derived_cl2917]) ).

thf(zip_derived_cl5929,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ( gt @ loopcounter @ n1 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5911,zip_derived_cl5719]) ).

thf(zip_derived_cl120_032,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl212,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3942,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__27 )
    | ( init != init )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl212]) ).

thf(zip_derived_cl3943,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3942]) ).

thf(zip_derived_cl3886_033,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ sk__29 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl206,zip_derived_cl3482]) ).

thf(zip_derived_cl4001,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__27 )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3943,zip_derived_cl3886]) ).

thf(zip_derived_cl200,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4002,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(clc,[status(thm)],[zip_derived_cl4001,zip_derived_cl200]) ).

thf(zip_derived_cl5930,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5929,zip_derived_cl4002]) ).

thf(zip_derived_cl2612_034,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl120_035,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl156,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3009,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ sk__28 @ n3 )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl156]) ).

thf(zip_derived_cl3010,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3009]) ).

thf(zip_derived_cl2985_036,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl154,zip_derived_cl2965]) ).

thf(zip_derived_cl5888,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ n3 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3010,zip_derived_cl2985]) ).

thf(zip_derived_cl2930_037,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2929,zip_derived_cl148]) ).

thf(zip_derived_cl5889,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5888,zip_derived_cl2930]) ).

thf(zip_derived_cl5890,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 )
    | ( init != init )
    | ( leq @ sk__28 @ n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl5889]) ).

thf(zip_derived_cl5891,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( gt @ loopcounter @ n1 )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5890]) ).

thf(zip_derived_cl3081_038,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3080,zip_derived_cl2930]) ).

thf(zip_derived_cl5892,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5891,zip_derived_cl3081]) ).

thf(zip_derived_cl3110_039,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3109,zip_derived_cl2930]) ).

thf(zip_derived_cl5893,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5892,zip_derived_cl3110]) ).

thf(zip_derived_cl5931,plain,
    ( ~ ( leq @ sk__27 @ n2 )
    | ( gt @ loopcounter @ n1 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5930,zip_derived_cl5893]) ).

thf(zip_derived_cl120_040,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl194,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3632,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ sk__27 @ n2 )
    | ( init != init )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl194]) ).

thf(zip_derived_cl3633,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3632]) ).

thf(zip_derived_cl188_041,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3634,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( leq @ sk__27 @ n2 )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3633,zip_derived_cl188]) ).

thf(zip_derived_cl182,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3635,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3634,zip_derived_cl182]) ).

thf(zip_derived_cl5932,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5931,zip_derived_cl3635]) ).

thf(zip_derived_cl10684,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(clc,[status(thm)],[zip_derived_cl5905,zip_derived_cl5932]) ).

thf(zip_derived_cl119_042,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ X0 @ n3 )
      | ( ( a_select3 @ simplex7_init @ X0 @ X1 )
        = init )
      | ~ ( leq @ X1 @ n2 )
      | ~ ( leq @ n0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_043,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl178,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3308,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( init != init )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl178]) ).

thf(zip_derived_cl3309,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__30 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3308]) ).

thf(zip_derived_cl5881_044,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(clc,[status(thm)],[zip_derived_cl5880,zip_derived_cl3925]) ).

thf(zip_derived_cl5919,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3309,zip_derived_cl5881]) ).

thf(zip_derived_cl4931_045,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(clc,[status(thm)],[zip_derived_cl4930,zip_derived_cl166]) ).

thf(zip_derived_cl5920,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__30 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(clc,[status(thm)],[zip_derived_cl5919,zip_derived_cl4931]) ).

thf(zip_derived_cl5921,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ n0 @ sk__28 )
    | ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__30 )
    | ( init != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl5920]) ).

thf(zip_derived_cl5922,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 )
    | ~ ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5921]) ).

thf(zip_derived_cl5719_046,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5718,zip_derived_cl2917]) ).

thf(zip_derived_cl6012,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5922,zip_derived_cl5719]) ).

thf(zip_derived_cl120_047,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl214,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3961,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__27 )
    | ( init != init )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl214]) ).

thf(zip_derived_cl3962,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3961]) ).

thf(zip_derived_cl3925_048,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ sk__29 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl208,zip_derived_cl3784]) ).

thf(zip_derived_cl4044,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__27 )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3962,zip_derived_cl3925]) ).

thf(zip_derived_cl202,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4045,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(clc,[status(thm)],[zip_derived_cl4044,zip_derived_cl202]) ).

thf(zip_derived_cl6013,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6012,zip_derived_cl4045]) ).

thf(zip_derived_cl5893_049,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5892,zip_derived_cl3110]) ).

thf(zip_derived_cl6014,plain,
    ( ~ ( leq @ sk__27 @ n2 )
    | ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6013,zip_derived_cl5893]) ).

thf(zip_derived_cl3682_050,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3681,zip_derived_cl184]) ).

thf(zip_derived_cl6015,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6014,zip_derived_cl3682]) ).

thf(zip_derived_cl10685,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl10684,zip_derived_cl6015]) ).

thf(zip_derived_cl10686,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ n0 @ sk__28 )
    | ( init != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl10685]) ).

thf(zip_derived_cl10687,plain,
    ( ( gt @ loopcounter @ n1 )
    | ~ ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10686]) ).

thf(zip_derived_cl5719_051,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5718,zip_derived_cl2917]) ).

thf(zip_derived_cl10747,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl10687,zip_derived_cl5719]) ).

thf(zip_derived_cl2612_052,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl120_053,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl210,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3931,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__27 )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl210]) ).

thf(zip_derived_cl3932,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3931]) ).

thf(zip_derived_cl204,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6518,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__27 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3932,zip_derived_cl204]) ).

thf(zip_derived_cl198,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6519,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ n0 @ sk__27 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6518,zip_derived_cl198]) ).

thf(zip_derived_cl6520,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 )
    | ( init != init )
    | ( leq @ n0 @ sk__27 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl6519]) ).

thf(zip_derived_cl6521,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( gt @ loopcounter @ n1 )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6520]) ).

thf(zip_derived_cl5932_054,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5931,zip_derived_cl3635]) ).

thf(zip_derived_cl6522,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6521,zip_derived_cl5932]) ).

thf(zip_derived_cl6015_055,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6014,zip_derived_cl3682]) ).

thf(zip_derived_cl6523,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6522,zip_derived_cl6015]) ).

thf(zip_derived_cl10748,plain,
    ( ( gt @ loopcounter @ n1 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl10747,zip_derived_cl6523]) ).

thf(zip_derived_cl5893_056,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5892,zip_derived_cl3110]) ).

thf(zip_derived_cl10749,plain,
    ( ~ ( leq @ sk__27 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl10748,zip_derived_cl5893]) ).

thf(zip_derived_cl2612_057,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl120_058,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3555,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ sk__27 @ n2 )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl192]) ).

thf(zip_derived_cl3556,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3555]) ).

thf(zip_derived_cl186,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6476,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( leq @ sk__27 @ n2 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3556,zip_derived_cl186]) ).

thf(zip_derived_cl180,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6477,plain,
    ( ( gt @ loopcounter @ n1 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6476,zip_derived_cl180]) ).

thf(zip_derived_cl6478,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 )
    | ( init != init )
    | ( leq @ sk__27 @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl6477]) ).

thf(zip_derived_cl6479,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( gt @ loopcounter @ n1 )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6478]) ).

thf(zip_derived_cl5932_059,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5931,zip_derived_cl3635]) ).

thf(zip_derived_cl6495,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6479,zip_derived_cl5932]) ).

thf(zip_derived_cl6015_060,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6014,zip_derived_cl3682]) ).

thf(zip_derived_cl6496,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( gt @ loopcounter @ n1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6495,zip_derived_cl6015]) ).

thf(zip_derived_cl10750,plain,
    gt @ loopcounter @ n1,
    inference(clc,[status(thm)],[zip_derived_cl10749,zip_derived_cl6496]) ).

thf(zip_derived_cl10751,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10907,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl209,zip_derived_cl10751]) ).

thf(zip_derived_cl10908,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10907]) ).

thf(zip_derived_cl124,plain,
    ( ( pvar1402_init = init )
    | ~ ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10750_061,plain,
    gt @ loopcounter @ n1,
    inference(clc,[status(thm)],[zip_derived_cl10749,zip_derived_cl6496]) ).

thf(zip_derived_cl10753,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl123,plain,
    ( ( pvar1401_init = init )
    | ~ ( gt @ loopcounter @ n1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10750_062,plain,
    gt @ loopcounter @ n1,
    inference(clc,[status(thm)],[zip_derived_cl10749,zip_derived_cl6496]) ).

thf(zip_derived_cl10752,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl11948,plain,
    ( ( init != init )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__27 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10908,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl11949,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11948]) ).

thf(zip_derived_cl11950,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__27 )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl11949]) ).

thf(zip_derived_cl11951,plain,
    ( ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11950]) ).

thf(zip_derived_cl119_063,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ X0 @ n3 )
      | ( ( a_select3 @ simplex7_init @ X0 @ X1 )
        = init )
      | ~ ( leq @ X1 @ n2 )
      | ~ ( leq @ n0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_064,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ X0 @ n3 )
      | ( ( a_select3 @ simplex7_init @ X0 @ X1 )
        = init )
      | ~ ( leq @ X1 @ n2 )
      | ~ ( leq @ n0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl169,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_065,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10867,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl10751]) ).

thf(zip_derived_cl10868,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10867]) ).

thf(zip_derived_cl10753_066,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_067,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15579,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl10868,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15580,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15579]) ).

thf(zip_derived_cl15581,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ n0 @ sk__28 )
    | ( init != init )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl15580]) ).

thf(zip_derived_cl15582,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15581]) ).

thf(zip_derived_cl120_068,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__30 @ n2 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_069,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10837,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__30 @ n2 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl139,zip_derived_cl10751]) ).

thf(zip_derived_cl10838,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ sk__30 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__28 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10837]) ).

thf(zip_derived_cl10753_070,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_071,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15304,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ sk__30 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__28 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10838,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15305,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__30 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15304]) ).

thf(zip_derived_cl15306,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 )
    | ( init != init )
    | ( leq @ sk__30 @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl15305]) ).

thf(zip_derived_cl15307,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15306]) ).

thf(zip_derived_cl2612_072,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl131,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_073,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10829,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl10751]) ).

thf(zip_derived_cl10830,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10829]) ).

thf(zip_derived_cl10753_074,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_075,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15269,plain,
    ( ( init != init )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10830,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15270,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15269]) ).

thf(zip_derived_cl15271,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__28 )
    | ( leq @ sk__29 @ n3 )
    | ( init != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl15270]) ).

thf(zip_derived_cl15272,plain,
    ( ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15271]) ).

thf(zip_derived_cl133,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_076,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10831,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl10751]) ).

thf(zip_derived_cl10832,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10831]) ).

thf(zip_derived_cl10753_077,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_078,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl14303,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10832,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl14304,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl14303]) ).

thf(zip_derived_cl15308,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__28 )
    | ( leq @ sk__29 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15272,zip_derived_cl14304]) ).

thf(zip_derived_cl135,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_079,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10833,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl135,zip_derived_cl10751]) ).

thf(zip_derived_cl10834,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10833]) ).

thf(zip_derived_cl10753_080,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_081,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl14374,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10834,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl14375,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl14374]) ).

thf(zip_derived_cl15309,plain,
    ( ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15308,zip_derived_cl14375]) ).

thf(zip_derived_cl15413,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15307,zip_derived_cl15309]) ).

thf(zip_derived_cl2612_082,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl125,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_083,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10823,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl125,zip_derived_cl10751]) ).

thf(zip_derived_cl10824,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10823]) ).

thf(zip_derived_cl10753_084,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_085,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15196,plain,
    ( ( init != init )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10824,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15197,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15196]) ).

thf(zip_derived_cl15198,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__29 )
    | ( init != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl15197]) ).

thf(zip_derived_cl15199,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15198]) ).

thf(zip_derived_cl127,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_086,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10825,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl10751]) ).

thf(zip_derived_cl10826,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10825]) ).

thf(zip_derived_cl10753_087,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_088,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl13805,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10826,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl13806,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl13805]) ).

thf(zip_derived_cl15200,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__29 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15199,zip_derived_cl13806]) ).

thf(zip_derived_cl129,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_089,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10827,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl10751]) ).

thf(zip_derived_cl10828,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10827]) ).

thf(zip_derived_cl10753_090,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_091,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl14019,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10828,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl14020,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl14019]) ).

thf(zip_derived_cl15201,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15200,zip_derived_cl14020]) ).

thf(zip_derived_cl15414,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15413,zip_derived_cl15201]) ).

thf(zip_derived_cl16426,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15582,zip_derived_cl15414]) ).

thf(zip_derived_cl120_092,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl211,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__30 @ n2 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_093,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10909,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__30 @ n2 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl211,zip_derived_cl10751]) ).

thf(zip_derived_cl10910,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ sk__30 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10909]) ).

thf(zip_derived_cl10753_094,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_095,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15791,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ sk__30 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__27 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10910,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15792,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__30 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15791]) ).

thf(zip_derived_cl15793,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__27 )
    | ( init != init )
    | ( leq @ sk__30 @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl15792]) ).

thf(zip_derived_cl15794,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15793]) ).

thf(zip_derived_cl2612_096,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl203,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_097,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10901,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl10751]) ).

thf(zip_derived_cl10902,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10901]) ).

thf(zip_derived_cl10753_098,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_099,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15761,plain,
    ( ( init != init )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10902,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15762,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15761]) ).

thf(zip_derived_cl15763,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__27 )
    | ( leq @ sk__29 @ n3 )
    | ( init != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl15762]) ).

thf(zip_derived_cl15764,plain,
    ( ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15763]) ).

thf(zip_derived_cl205,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_100,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10903,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl205,zip_derived_cl10751]) ).

thf(zip_derived_cl10904,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10903]) ).

thf(zip_derived_cl10753_101,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_102,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15423,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10904,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15424,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15423]) ).

thf(zip_derived_cl15958,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__27 )
    | ( leq @ sk__29 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15764,zip_derived_cl15424]) ).

thf(zip_derived_cl207,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_103,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10905,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl10751]) ).

thf(zip_derived_cl10906,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10905]) ).

thf(zip_derived_cl10753_104,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_105,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15531,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10906,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15532,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15531]) ).

thf(zip_derived_cl15959,plain,
    ( ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15958,zip_derived_cl15532]) ).

thf(zip_derived_cl16065,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__27 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15794,zip_derived_cl15959]) ).

thf(zip_derived_cl2612_106,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl197,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_107,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10895,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl10751]) ).

thf(zip_derived_cl10896,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10895]) ).

thf(zip_derived_cl10753_108,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_109,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15737,plain,
    ( ( init != init )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10896,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15738,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15737]) ).

thf(zip_derived_cl15739,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__27 )
    | ( leq @ n0 @ sk__29 )
    | ( init != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl15738]) ).

thf(zip_derived_cl15740,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15739]) ).

thf(zip_derived_cl199,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_110,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10897,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl10751]) ).

thf(zip_derived_cl10898,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10897]) ).

thf(zip_derived_cl10753_111,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_112,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15259,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10898,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15260,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15259]) ).

thf(zip_derived_cl15857,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__27 )
    | ( leq @ n0 @ sk__29 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15740,zip_derived_cl15260]) ).

thf(zip_derived_cl201,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_113,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10899,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl10751]) ).

thf(zip_derived_cl10900,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10899]) ).

thf(zip_derived_cl10753_114,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_115,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15316,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10900,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15317,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15316]) ).

thf(zip_derived_cl15858,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15857,zip_derived_cl15317]) ).

thf(zip_derived_cl16066,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(clc,[status(thm)],[zip_derived_cl16065,zip_derived_cl15858]) ).

thf(zip_derived_cl16427,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl16426,zip_derived_cl16066]) ).

thf(zip_derived_cl120_116,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl157,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__30 @ n2 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_117,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10855,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__30 @ n2 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl157,zip_derived_cl10751]) ).

thf(zip_derived_cl10856,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ sk__30 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__28 @ n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10855]) ).

thf(zip_derived_cl10753_118,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_119,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15469,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ sk__30 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__28 @ n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10856,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15470,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__30 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15469]) ).

thf(zip_derived_cl15471,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ sk__28 @ n3 )
    | ( init != init )
    | ( leq @ sk__30 @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl15470]) ).

thf(zip_derived_cl15472,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15471]) ).

thf(zip_derived_cl2612_120,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl149,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_121,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10847,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl10751]) ).

thf(zip_derived_cl10848,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10847]) ).

thf(zip_derived_cl10753_122,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_123,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15433,plain,
    ( ( init != init )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10848,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15434,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15433]) ).

thf(zip_derived_cl15435,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( leq @ sk__28 @ n3 )
    | ( leq @ sk__29 @ n3 )
    | ( init != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl15434]) ).

thf(zip_derived_cl15436,plain,
    ( ( leq @ sk__29 @ n3 )
    | ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15435]) ).

thf(zip_derived_cl151,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_124,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10849,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl151,zip_derived_cl10751]) ).

thf(zip_derived_cl10850,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10849]) ).

thf(zip_derived_cl10753_125,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_126,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl14623,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10850,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl14624,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl14623]) ).

thf(zip_derived_cl15565,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( leq @ sk__28 @ n3 )
    | ( leq @ sk__29 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15436,zip_derived_cl14624]) ).

thf(zip_derived_cl153,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_127,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10851,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl10751]) ).

thf(zip_derived_cl10852,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10851]) ).

thf(zip_derived_cl10753_128,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_129,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl14659,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10852,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl14660,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl14659]) ).

thf(zip_derived_cl15566,plain,
    ( ( leq @ sk__29 @ n3 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15565,zip_derived_cl14660]) ).

thf(zip_derived_cl15583,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ n3 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15472,zip_derived_cl15566]) ).

thf(zip_derived_cl2612_130,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl143,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_131,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10841,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl10751]) ).

thf(zip_derived_cl10842,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10841]) ).

thf(zip_derived_cl10753_132,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_133,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15409,plain,
    ( ( init != init )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10842,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15410,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15409]) ).

thf(zip_derived_cl15411,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( leq @ sk__28 @ n3 )
    | ( leq @ n0 @ sk__29 )
    | ( init != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl15410]) ).

thf(zip_derived_cl15412,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15411]) ).

thf(zip_derived_cl145,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_134,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10843,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl10751]) ).

thf(zip_derived_cl10844,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10843]) ).

thf(zip_derived_cl10753_135,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_136,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl14418,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10844,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl14419,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl14418]) ).

thf(zip_derived_cl15547,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( leq @ sk__28 @ n3 )
    | ( leq @ n0 @ sk__29 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15412,zip_derived_cl14419]) ).

thf(zip_derived_cl147,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_137,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10845,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl10751]) ).

thf(zip_derived_cl10846,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10845]) ).

thf(zip_derived_cl10753_138,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_139,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl14475,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10846,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl14476,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl14475]) ).

thf(zip_derived_cl15548,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15547,zip_derived_cl14476]) ).

thf(zip_derived_cl15584,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15583,zip_derived_cl15548]) ).

thf(zip_derived_cl16428,plain,
    ( ~ ( leq @ sk__27 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl16427,zip_derived_cl15584]) ).

thf(zip_derived_cl2612_140,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl185,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_141,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10883,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl10751]) ).

thf(zip_derived_cl10884,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10883]) ).

thf(zip_derived_cl10753_142,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_143,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15682,plain,
    ( ( init != init )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10884,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15683,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15682]) ).

thf(zip_derived_cl15684,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( leq @ sk__27 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( init != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl15683]) ).

thf(zip_derived_cl15685,plain,
    ( ( leq @ sk__29 @ n3 )
    | ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15684]) ).

thf(zip_derived_cl187,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_144,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10885,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl187,zip_derived_cl10751]) ).

thf(zip_derived_cl10886,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10885]) ).

thf(zip_derived_cl10753_145,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_146,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl14805,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10886,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl14806,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl14805]) ).

thf(zip_derived_cl15719,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( leq @ sk__27 @ n2 )
    | ( leq @ sk__29 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15685,zip_derived_cl14806]) ).

thf(zip_derived_cl189,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_147,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10887,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl189,zip_derived_cl10751]) ).

thf(zip_derived_cl10888,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10887]) ).

thf(zip_derived_cl10753_148,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_149,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl14889,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10888,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl14890,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl14889]) ).

thf(zip_derived_cl15720,plain,
    ( ( leq @ sk__29 @ n3 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15719,zip_derived_cl14890]) ).

thf(zip_derived_cl16429,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( leq @ sk__29 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl16428,zip_derived_cl15720]) ).

thf(zip_derived_cl2612_150,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl120_151,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl173,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_152,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10871,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl10751]) ).

thf(zip_derived_cl10872,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10871]) ).

thf(zip_derived_cl10753_153,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_154,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl11715,plain,
    ( ( init != init )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl10872,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl11716,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11715]) ).

thf(zip_derived_cl11717,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl11716]) ).

thf(zip_derived_cl11718,plain,
    ( ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11717]) ).

thf(zip_derived_cl119_155,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ X0 @ n3 )
      | ( ( a_select3 @ simplex7_init @ X0 @ X1 )
        = init )
      | ~ ( leq @ X1 @ n2 )
      | ~ ( leq @ n0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2612_156,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl161,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_157,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10859,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl10751]) ).

thf(zip_derived_cl10860,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10859]) ).

thf(zip_derived_cl10753_158,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_159,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15543,plain,
    ( ( init != init )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl10860,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15544,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15543]) ).

thf(zip_derived_cl15545,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( init != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl15544]) ).

thf(zip_derived_cl15546,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15545]) ).

thf(zip_derived_cl119_160,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ X0 @ n3 )
      | ( ( a_select3 @ simplex7_init @ X0 @ X1 )
        = init )
      | ~ ( leq @ X1 @ n2 )
      | ~ ( leq @ n0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl163,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_161,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10861,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl163,zip_derived_cl10751]) ).

thf(zip_derived_cl10862,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10861]) ).

thf(zip_derived_cl10753_162,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_163,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15557,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl10862,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15558,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15557]) ).

thf(zip_derived_cl15559,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ n0 @ sk__28 )
    | ( init != init )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl15558]) ).

thf(zip_derived_cl15560,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ~ ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15559]) ).

thf(zip_derived_cl15414_164,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15413,zip_derived_cl15201]) ).

thf(zip_derived_cl16260,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15560,zip_derived_cl15414]) ).

thf(zip_derived_cl16066_165,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(clc,[status(thm)],[zip_derived_cl16065,zip_derived_cl15858]) ).

thf(zip_derived_cl16261,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl16260,zip_derived_cl16066]) ).

thf(zip_derived_cl15548_166,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15547,zip_derived_cl14476]) ).

thf(zip_derived_cl16262,plain,
    ( ~ ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl16261,zip_derived_cl15548]) ).

thf(zip_derived_cl2612_167,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl179,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_168,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10877,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl179,zip_derived_cl10751]) ).

thf(zip_derived_cl10878,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10877]) ).

thf(zip_derived_cl10753_169,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_170,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15667,plain,
    ( ( init != init )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10878,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15668,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15667]) ).

thf(zip_derived_cl15669,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( init != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl15668]) ).

thf(zip_derived_cl15670,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15669]) ).

thf(zip_derived_cl181,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_171,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10879,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl10751]) ).

thf(zip_derived_cl10880,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10879]) ).

thf(zip_derived_cl10753_172,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_173,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl14679,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10880,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl14680,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl14679]) ).

thf(zip_derived_cl15671,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__29 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15670,zip_derived_cl14680]) ).

thf(zip_derived_cl183,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_174,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10881,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl10751]) ).

thf(zip_derived_cl10882,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10881]) ).

thf(zip_derived_cl10753_175,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_176,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl14723,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10882,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl14724,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl14723]) ).

thf(zip_derived_cl15672,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15671,zip_derived_cl14724]) ).

thf(zip_derived_cl16263,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__29 ) ),
    inference(clc,[status(thm)],[zip_derived_cl16262,zip_derived_cl15672]) ).

thf(zip_derived_cl17373,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ n0 @ sk__29 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15546,zip_derived_cl16263]) ).

thf(zip_derived_cl119_177,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ X0 @ n3 )
      | ( ( a_select3 @ simplex7_init @ X0 @ X1 )
        = init )
      | ~ ( leq @ X1 @ n2 )
      | ~ ( leq @ n0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl165,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_178,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10863,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl10751]) ).

thf(zip_derived_cl10864,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10863]) ).

thf(zip_derived_cl10753_179,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_180,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15561,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__29 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl10864,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15562,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15561]) ).

thf(zip_derived_cl15563,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ n0 @ sk__28 )
    | ( init != init )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl15562]) ).

thf(zip_derived_cl15564,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__29 )
    | ~ ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15563]) ).

thf(zip_derived_cl15201_181,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15200,zip_derived_cl14020]) ).

thf(zip_derived_cl16318,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15564,zip_derived_cl15201]) ).

thf(zip_derived_cl15858_182,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15857,zip_derived_cl15317]) ).

thf(zip_derived_cl16319,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl16318,zip_derived_cl15858]) ).

thf(zip_derived_cl15548_183,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15547,zip_derived_cl14476]) ).

thf(zip_derived_cl16320,plain,
    ( ~ ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(clc,[status(thm)],[zip_derived_cl16319,zip_derived_cl15548]) ).

thf(zip_derived_cl15672_184,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15671,zip_derived_cl14724]) ).

thf(zip_derived_cl16321,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__29 ) ),
    inference(clc,[status(thm)],[zip_derived_cl16320,zip_derived_cl15672]) ).

thf(zip_derived_cl17374,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(clc,[status(thm)],[zip_derived_cl17373,zip_derived_cl16321]) ).

thf(zip_derived_cl17375,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__29 )
    | ( init != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl17374]) ).

thf(zip_derived_cl17376,plain,
    ( ( leq @ n0 @ sk__29 )
    | ~ ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl17375]) ).

thf(zip_derived_cl15201_185,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15200,zip_derived_cl14020]) ).

thf(zip_derived_cl17467,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ( leq @ n0 @ sk__29 ) ),
    inference(clc,[status(thm)],[zip_derived_cl17376,zip_derived_cl15201]) ).

thf(zip_derived_cl15858_186,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15857,zip_derived_cl15317]) ).

thf(zip_derived_cl17468,plain,
    ( ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl17467,zip_derived_cl15858]) ).

thf(zip_derived_cl15548_187,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15547,zip_derived_cl14476]) ).

thf(zip_derived_cl17469,plain,
    ( ~ ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__29 ) ),
    inference(clc,[status(thm)],[zip_derived_cl17468,zip_derived_cl15548]) ).

thf(zip_derived_cl15672_188,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15671,zip_derived_cl14724]) ).

thf(zip_derived_cl17470,plain,
    leq @ n0 @ sk__29,
    inference(clc,[status(thm)],[zip_derived_cl17469,zip_derived_cl15672]) ).

thf(zip_derived_cl17471,plain,
    ( ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ~ ( leq @ sk__29 @ n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl11718,zip_derived_cl17470]) ).

thf(zip_derived_cl167,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_189,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10865,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl10751]) ).

thf(zip_derived_cl10866,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10865]) ).

thf(zip_derived_cl10753_190,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_191,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15575,plain,
    ( ( init != init )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl10866,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15576,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15575]) ).

thf(zip_derived_cl17558,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init ) ),
    inference(clc,[status(thm)],[zip_derived_cl17471,zip_derived_cl15576]) ).

thf(zip_derived_cl17559,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( init != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl17558]) ).

thf(zip_derived_cl17560,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl17559]) ).

thf(zip_derived_cl17568,plain,
    ( ( leq @ sk__29 @ n3 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16429,zip_derived_cl17560]) ).

thf(zip_derived_cl119_192,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ X0 @ n3 )
      | ( ( a_select3 @ simplex7_init @ X0 @ X1 )
        = init )
      | ~ ( leq @ X1 @ n2 )
      | ~ ( leq @ n0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl171,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_193,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10869,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl10751]) ).

thf(zip_derived_cl10870,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10869]) ).

thf(zip_derived_cl10753_194,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_195,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15595,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ n0 @ sk__30 )
    | ( leq @ sk__29 @ n3 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl10870,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15596,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15595]) ).

thf(zip_derived_cl15597,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ n0 @ sk__28 )
    | ( init != init )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl15596]) ).

thf(zip_derived_cl15598,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15597]) ).

thf(zip_derived_cl15309_196,plain,
    ( ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15308,zip_derived_cl14375]) ).

thf(zip_derived_cl16500,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15598,zip_derived_cl15309]) ).

thf(zip_derived_cl15959_197,plain,
    ( ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15958,zip_derived_cl15532]) ).

thf(zip_derived_cl16501,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( leq @ sk__29 @ n3 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl16500,zip_derived_cl15959]) ).

thf(zip_derived_cl120_198,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl159,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__30 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_199,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10857,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__30 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl10751]) ).

thf(zip_derived_cl10858,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ n0 @ sk__30 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__28 @ n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10857]) ).

thf(zip_derived_cl10753_200,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_201,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15539,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ n0 @ sk__30 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__28 @ n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10858,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15540,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15539]) ).

thf(zip_derived_cl15541,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ sk__28 @ n3 )
    | ( init != init )
    | ( leq @ n0 @ sk__30 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl15540]) ).

thf(zip_derived_cl15542,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15541]) ).

thf(zip_derived_cl15566_202,plain,
    ( ( leq @ sk__29 @ n3 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15565,zip_derived_cl14660]) ).

thf(zip_derived_cl15635,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ n3 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15542,zip_derived_cl15566]) ).

thf(zip_derived_cl15548_203,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15547,zip_derived_cl14476]) ).

thf(zip_derived_cl15636,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15635,zip_derived_cl15548]) ).

thf(zip_derived_cl16502,plain,
    ( ~ ( leq @ sk__27 @ n2 )
    | ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(clc,[status(thm)],[zip_derived_cl16501,zip_derived_cl15636]) ).

thf(zip_derived_cl120_204,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl195,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__30 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_205,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10893,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__30 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl10751]) ).

thf(zip_derived_cl10894,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ n0 @ sk__30 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__27 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10893]) ).

thf(zip_derived_cl10753_206,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_207,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15729,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ n0 @ sk__30 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__27 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10894,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15730,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15729]) ).

thf(zip_derived_cl15731,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ sk__27 @ n2 )
    | ( init != init )
    | ( leq @ n0 @ sk__30 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl15730]) ).

thf(zip_derived_cl15732,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15731]) ).

thf(zip_derived_cl15720_208,plain,
    ( ( leq @ sk__29 @ n3 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15719,zip_derived_cl14890]) ).

thf(zip_derived_cl15795,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( leq @ sk__27 @ n2 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15732,zip_derived_cl15720]) ).

thf(zip_derived_cl15672_209,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15671,zip_derived_cl14724]) ).

thf(zip_derived_cl15796,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15795,zip_derived_cl15672]) ).

thf(zip_derived_cl16503,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( leq @ sk__29 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl16502,zip_derived_cl15796]) ).

thf(zip_derived_cl18930,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( leq @ sk__29 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl17568,zip_derived_cl16503]) ).

thf(zip_derived_cl18931,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ n0 @ sk__28 )
    | ( init != init )
    | ( leq @ sk__29 @ n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl18930]) ).

thf(zip_derived_cl18932,plain,
    ( ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl18931]) ).

thf(zip_derived_cl15309_210,plain,
    ( ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15308,zip_derived_cl14375]) ).

thf(zip_derived_cl19266,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ( leq @ sk__29 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl18932,zip_derived_cl15309]) ).

thf(zip_derived_cl15959_211,plain,
    ( ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15958,zip_derived_cl15532]) ).

thf(zip_derived_cl19267,plain,
    ( ( leq @ sk__29 @ n3 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl19266,zip_derived_cl15959]) ).

thf(zip_derived_cl15566_212,plain,
    ( ( leq @ sk__29 @ n3 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15565,zip_derived_cl14660]) ).

thf(zip_derived_cl19268,plain,
    ( ~ ( leq @ sk__27 @ n2 )
    | ( leq @ sk__29 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl19267,zip_derived_cl15566]) ).

thf(zip_derived_cl15720_213,plain,
    ( ( leq @ sk__29 @ n3 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15719,zip_derived_cl14890]) ).

thf(zip_derived_cl19269,plain,
    leq @ sk__29 @ n3,
    inference(clc,[status(thm)],[zip_derived_cl19268,zip_derived_cl15720]) ).

thf(zip_derived_cl17470_214,plain,
    leq @ n0 @ sk__29,
    inference(clc,[status(thm)],[zip_derived_cl17469,zip_derived_cl15672]) ).

thf(zip_derived_cl22677,plain,
    ( ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ n0 @ sk__27 ) ),
    inference(demod,[status(thm)],[zip_derived_cl11951,zip_derived_cl19269,zip_derived_cl17470]) ).

thf(zip_derived_cl119_215,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ X0 @ n3 )
      | ( ( a_select3 @ simplex7_init @ X0 @ X1 )
        = init )
      | ~ ( leq @ X1 @ n2 )
      | ~ ( leq @ n0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_216,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl177,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__30 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_217,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10875,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__30 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl10751]) ).

thf(zip_derived_cl10876,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ n0 @ sk__30 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10875]) ).

thf(zip_derived_cl10753_218,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_219,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15645,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ n0 @ sk__30 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl10876,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15646,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15645]) ).

thf(zip_derived_cl15647,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( init != init )
    | ( leq @ n0 @ sk__30 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl15646]) ).

thf(zip_derived_cl15648,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15647]) ).

thf(zip_derived_cl19269_220,plain,
    leq @ sk__29 @ n3,
    inference(clc,[status(thm)],[zip_derived_cl19268,zip_derived_cl15720]) ).

thf(zip_derived_cl17470_221,plain,
    leq @ n0 @ sk__29,
    inference(clc,[status(thm)],[zip_derived_cl17469,zip_derived_cl15672]) ).

thf(zip_derived_cl20151,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl15648,zip_derived_cl19269,zip_derived_cl17470]) ).

thf(zip_derived_cl17560_222,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ~ ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl17559]) ).

thf(zip_derived_cl119_223,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ X0 @ n3 )
      | ( ( a_select3 @ simplex7_init @ X0 @ X1 )
        = init )
      | ~ ( leq @ X1 @ n2 )
      | ~ ( leq @ n0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_224,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl175,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__30 @ n2 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_225,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10873,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__30 @ n2 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl175,zip_derived_cl10751]) ).

thf(zip_derived_cl10874,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ sk__30 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10873]) ).

thf(zip_derived_cl10753_226,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_227,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15631,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ sk__30 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl10874,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15632,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__30 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15631]) ).

thf(zip_derived_cl15633,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ( init != init )
    | ( leq @ sk__30 @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl15632]) ).

thf(zip_derived_cl15634,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15633]) ).

thf(zip_derived_cl19269_228,plain,
    leq @ sk__29 @ n3,
    inference(clc,[status(thm)],[zip_derived_cl19268,zip_derived_cl15720]) ).

thf(zip_derived_cl17470_229,plain,
    leq @ n0 @ sk__29,
    inference(clc,[status(thm)],[zip_derived_cl17469,zip_derived_cl15672]) ).

thf(zip_derived_cl19508,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl15634,zip_derived_cl19269,zip_derived_cl17470]) ).

thf(zip_derived_cl19509,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ n0 @ sk__28 )
    | ( leq @ sk__30 @ n2 )
    | ( init != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl19508]) ).

thf(zip_derived_cl19510,plain,
    ( ( leq @ sk__30 @ n2 )
    | ~ ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl19509]) ).

thf(zip_derived_cl15414_230,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15413,zip_derived_cl15201]) ).

thf(zip_derived_cl19618,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl19510,zip_derived_cl15414]) ).

thf(zip_derived_cl16066_231,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(clc,[status(thm)],[zip_derived_cl16065,zip_derived_cl15858]) ).

thf(zip_derived_cl19619,plain,
    ( ( leq @ sk__30 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl19618,zip_derived_cl16066]) ).

thf(zip_derived_cl15584_232,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15583,zip_derived_cl15548]) ).

thf(zip_derived_cl19620,plain,
    ( ~ ( leq @ sk__27 @ n2 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl19619,zip_derived_cl15584]) ).

thf(zip_derived_cl120_233,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl193,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__30 @ n2 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_234,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10891,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__30 @ n2 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl10751]) ).

thf(zip_derived_cl10892,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ sk__30 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__27 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10891]) ).

thf(zip_derived_cl10753_235,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_236,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15715,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ sk__30 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__27 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10892,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15716,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__30 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15715]) ).

thf(zip_derived_cl15717,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ sk__27 @ n2 )
    | ( init != init )
    | ( leq @ sk__30 @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl15716]) ).

thf(zip_derived_cl15718,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15717]) ).

thf(zip_derived_cl15720_237,plain,
    ( ( leq @ sk__29 @ n3 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15719,zip_derived_cl14890]) ).

thf(zip_derived_cl15741,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( leq @ sk__27 @ n2 )
    | ( leq @ sk__30 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15718,zip_derived_cl15720]) ).

thf(zip_derived_cl15672_238,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15671,zip_derived_cl14724]) ).

thf(zip_derived_cl15742,plain,
    ( ( leq @ sk__30 @ n2 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15741,zip_derived_cl15672]) ).

thf(zip_derived_cl19621,plain,
    leq @ sk__30 @ n2,
    inference(clc,[status(thm)],[zip_derived_cl19620,zip_derived_cl15742]) ).

thf(zip_derived_cl19622,plain,
    ( ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
     != init )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(demod,[status(thm)],[zip_derived_cl17560,zip_derived_cl19621]) ).

thf(zip_derived_cl20152,plain,
    ( ( a_select3 @ simplex7_init @ sk__28 @ sk__27 )
   != init ),
    inference(clc,[status(thm)],[zip_derived_cl20151,zip_derived_cl19622]) ).

thf(zip_derived_cl20153,plain,
    ( ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ n0 @ sk__28 )
    | ( init != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl20152]) ).

thf(zip_derived_cl20154,plain,
    ( ~ ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl20153]) ).

thf(zip_derived_cl2612_239,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl120_240,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_241,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10835,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl10751]) ).

thf(zip_derived_cl10836,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__28 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10835]) ).

thf(zip_derived_cl10753_242,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_243,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl11928,plain,
    ( ( init != init )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__28 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10836,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl11929,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11928]) ).

thf(zip_derived_cl11930,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl11929]) ).

thf(zip_derived_cl11931,plain,
    ( ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11930]) ).

thf(zip_derived_cl19269_244,plain,
    leq @ sk__29 @ n3,
    inference(clc,[status(thm)],[zip_derived_cl19268,zip_derived_cl15720]) ).

thf(zip_derived_cl17470_245,plain,
    leq @ n0 @ sk__29,
    inference(clc,[status(thm)],[zip_derived_cl17469,zip_derived_cl15672]) ).

thf(zip_derived_cl22523,plain,
    ( ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ n0 @ sk__28 ) ),
    inference(demod,[status(thm)],[zip_derived_cl11931,zip_derived_cl19269,zip_derived_cl17470]) ).

thf(zip_derived_cl22524,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( init != init )
    | ( leq @ n0 @ sk__28 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl22523]) ).

thf(zip_derived_cl19621_246,plain,
    leq @ sk__30 @ n2,
    inference(clc,[status(thm)],[zip_derived_cl19620,zip_derived_cl15742]) ).

thf(zip_derived_cl22525,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( init != init )
    | ( leq @ n0 @ sk__28 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22524,zip_derived_cl19621]) ).

thf(zip_derived_cl22526,plain,
    ( ( leq @ n0 @ sk__28 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl22525]) ).

thf(zip_derived_cl120_247,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__30 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_248,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10839,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__30 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl141,zip_derived_cl10751]) ).

thf(zip_derived_cl10840,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ n0 @ sk__30 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__28 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10839]) ).

thf(zip_derived_cl10753_249,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_250,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15374,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ n0 @ sk__30 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__28 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10840,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15375,plain,
    ( ( leq @ n0 @ sk__28 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15374]) ).

thf(zip_derived_cl15376,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 )
    | ( init != init )
    | ( leq @ n0 @ sk__30 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl15375]) ).

thf(zip_derived_cl15377,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__28 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15376]) ).

thf(zip_derived_cl15309_251,plain,
    ( ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15308,zip_derived_cl14375]) ).

thf(zip_derived_cl15473,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15377,zip_derived_cl15309]) ).

thf(zip_derived_cl15201_252,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15200,zip_derived_cl14020]) ).

thf(zip_derived_cl15474,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__28 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15473,zip_derived_cl15201]) ).

thf(zip_derived_cl22527,plain,
    leq @ n0 @ sk__28,
    inference(clc,[status(thm)],[zip_derived_cl22526,zip_derived_cl15474]) ).

thf(zip_derived_cl22528,plain,
    ( ~ ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ n0 @ sk__27 ) ),
    inference(demod,[status(thm)],[zip_derived_cl20154,zip_derived_cl22527]) ).

thf(zip_derived_cl2612_253,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl120_254,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl155,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_255,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10853,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl10751]) ).

thf(zip_derived_cl10854,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__28 @ n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10853]) ).

thf(zip_derived_cl10753_256,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_257,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl11932,plain,
    ( ( init != init )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__28 @ n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10854,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl11933,plain,
    ( ( leq @ sk__28 @ n3 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11932]) ).

thf(zip_derived_cl11934,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ sk__28 @ n3 )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl11933]) ).

thf(zip_derived_cl11935,plain,
    ( ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ sk__28 @ n3 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11934]) ).

thf(zip_derived_cl19269_258,plain,
    leq @ sk__29 @ n3,
    inference(clc,[status(thm)],[zip_derived_cl19268,zip_derived_cl15720]) ).

thf(zip_derived_cl17470_259,plain,
    leq @ n0 @ sk__29,
    inference(clc,[status(thm)],[zip_derived_cl17469,zip_derived_cl15672]) ).

thf(zip_derived_cl22639,plain,
    ( ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ sk__28 @ n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl11935,zip_derived_cl19269,zip_derived_cl17470]) ).

thf(zip_derived_cl22640,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( init != init )
    | ( leq @ sk__28 @ n3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl22639]) ).

thf(zip_derived_cl19621_260,plain,
    leq @ sk__30 @ n2,
    inference(clc,[status(thm)],[zip_derived_cl19620,zip_derived_cl15742]) ).

thf(zip_derived_cl22641,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( init != init )
    | ( leq @ sk__28 @ n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22640,zip_derived_cl19621]) ).

thf(zip_derived_cl22642,plain,
    ( ( leq @ sk__28 @ n3 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl22641]) ).

thf(zip_derived_cl15636_261,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( leq @ sk__28 @ n3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15635,zip_derived_cl15548]) ).

thf(zip_derived_cl22758,plain,
    leq @ sk__28 @ n3,
    inference(clc,[status(thm)],[zip_derived_cl22642,zip_derived_cl15636]) ).

thf(zip_derived_cl22759,plain,
    ( ~ ( leq @ sk__27 @ n2 )
    | ~ ( leq @ n0 @ sk__27 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22528,zip_derived_cl22758]) ).

thf(zip_derived_cl2612_262,plain,
    ! [X3: $i] :
      ( ( ( a_select2 @ s_center7_init @ X3 )
        = init )
      | ~ ( leq @ X3 @ n2 )
      | ~ ( leq @ n0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl89,zip_derived_cl2101,zip_derived_cl98,zip_derived_cl2106]) ).

thf(zip_derived_cl120_263,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl191,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_264,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10889,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl10751]) ).

thf(zip_derived_cl10890,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__27 @ n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10889]) ).

thf(zip_derived_cl10753_265,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_266,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl11936,plain,
    ( ( init != init )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ sk__27 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10890,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl11937,plain,
    ( ( leq @ sk__27 @ n2 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11936]) ).

thf(zip_derived_cl11938,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ sk__27 @ n2 )
    | ( init != init )
    | ( ( a_select2 @ s_center7_init @ sk__30 )
     != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl11937]) ).

thf(zip_derived_cl11939,plain,
    ( ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ sk__27 @ n2 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11938]) ).

thf(zip_derived_cl19269_267,plain,
    leq @ sk__29 @ n3,
    inference(clc,[status(thm)],[zip_derived_cl19268,zip_derived_cl15720]) ).

thf(zip_derived_cl17470_268,plain,
    leq @ n0 @ sk__29,
    inference(clc,[status(thm)],[zip_derived_cl17469,zip_derived_cl15672]) ).

thf(zip_derived_cl22645,plain,
    ( ( ( a_select2 @ s_center7_init @ sk__30 )
     != init )
    | ( leq @ sk__27 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl11939,zip_derived_cl19269,zip_derived_cl17470]) ).

thf(zip_derived_cl22646,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( init != init )
    | ( leq @ sk__27 @ n2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl22645]) ).

thf(zip_derived_cl19621_269,plain,
    leq @ sk__30 @ n2,
    inference(clc,[status(thm)],[zip_derived_cl19620,zip_derived_cl15742]) ).

thf(zip_derived_cl22647,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( init != init )
    | ( leq @ sk__27 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl22646,zip_derived_cl19621]) ).

thf(zip_derived_cl22648,plain,
    ( ( leq @ sk__27 @ n2 )
    | ~ ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl22647]) ).

thf(zip_derived_cl15796_270,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( leq @ sk__27 @ n2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15795,zip_derived_cl15672]) ).

thf(zip_derived_cl22783,plain,
    leq @ sk__27 @ n2,
    inference(clc,[status(thm)],[zip_derived_cl22648,zip_derived_cl15796]) ).

thf(zip_derived_cl22784,plain,
    ~ ( leq @ n0 @ sk__27 ),
    inference(demod,[status(thm)],[zip_derived_cl22759,zip_derived_cl22783]) ).

thf(zip_derived_cl22860,plain,
    ( ( a_select2 @ s_center7_init @ sk__30 )
   != init ),
    inference(demod,[status(thm)],[zip_derived_cl22677,zip_derived_cl22784]) ).

thf(zip_derived_cl22861,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ~ ( leq @ sk__30 @ n2 )
    | ( init != init ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2612,zip_derived_cl22860]) ).

thf(zip_derived_cl19621_271,plain,
    leq @ sk__30 @ n2,
    inference(clc,[status(thm)],[zip_derived_cl19620,zip_derived_cl15742]) ).

thf(zip_derived_cl22862,plain,
    ( ~ ( leq @ n0 @ sk__30 )
    | ( init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl22861,zip_derived_cl19621]) ).

thf(zip_derived_cl22863,plain,
    ~ ( leq @ n0 @ sk__30 ),
    inference(simplify,[status(thm)],[zip_derived_cl22862]) ).

thf(zip_derived_cl120_272,plain,
    ! [X2: $i] :
      ( ( ( a_select2 @ s_values7_init @ X2 )
        = init )
      | ~ ( leq @ X2 @ n3 )
      | ~ ( leq @ n0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl213,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__30 )
    | ( pvar1400_init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10751_273,plain,
    pvar1400_init = init,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl10750]) ).

thf(zip_derived_cl10911,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__30 )
    | ( init != init )
    | ( pvar1401_init != init )
    | ( pvar1402_init != init ) ),
    inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl10751]) ).

thf(zip_derived_cl10912,plain,
    ( ( pvar1402_init != init )
    | ( pvar1401_init != init )
    | ( leq @ n0 @ sk__30 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__27 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10911]) ).

thf(zip_derived_cl10753_274,plain,
    pvar1402_init = init,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10750]) ).

thf(zip_derived_cl10752_275,plain,
    pvar1401_init = init,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10750]) ).

thf(zip_derived_cl15817,plain,
    ( ( init != init )
    | ( init != init )
    | ( leq @ n0 @ sk__30 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__27 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10912,zip_derived_cl10753,zip_derived_cl10752]) ).

thf(zip_derived_cl15818,plain,
    ( ( leq @ n0 @ sk__27 )
    | ( ( a_select2 @ s_values7_init @ sk__29 )
     != init )
    | ( leq @ n0 @ sk__30 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15817]) ).

thf(zip_derived_cl15819,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ~ ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__27 )
    | ( init != init )
    | ( leq @ n0 @ sk__30 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl15818]) ).

thf(zip_derived_cl15820,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__29 @ n3 )
    | ~ ( leq @ n0 @ sk__29 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15819]) ).

thf(zip_derived_cl15959_276,plain,
    ( ( leq @ sk__29 @ n3 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15958,zip_derived_cl15532]) ).

thf(zip_derived_cl16130,plain,
    ( ~ ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__27 )
    | ( leq @ n0 @ sk__30 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15820,zip_derived_cl15959]) ).

thf(zip_derived_cl15858_277,plain,
    ( ( leq @ n0 @ sk__29 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15857,zip_derived_cl15317]) ).

thf(zip_derived_cl16131,plain,
    ( ( leq @ n0 @ sk__30 )
    | ( leq @ n0 @ sk__27 ) ),
    inference(clc,[status(thm)],[zip_derived_cl16130,zip_derived_cl15858]) ).

thf(zip_derived_cl22784_278,plain,
    ~ ( leq @ n0 @ sk__27 ),
    inference(demod,[status(thm)],[zip_derived_cl22759,zip_derived_cl22783]) ).

thf(zip_derived_cl22856,plain,
    leq @ n0 @ sk__30,
    inference(demod,[status(thm)],[zip_derived_cl16131,zip_derived_cl22784]) ).

thf(zip_derived_cl22866,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl22863,zip_derived_cl22856]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV042+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wf5i7CdP5A true
% 0.16/0.34  % Computer : n025.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Aug 29 07:36:40 EDT 2023
% 0.16/0.34  % CPUTime  : 
% 0.16/0.34  % Running portfolio for 300 s
% 0.16/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.34  % Number of cores: 8
% 0.16/0.35  % Python version: Python 3.6.8
% 0.16/0.35  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 32.38/5.23  % Solved by fo/fo6_bce.sh.
% 32.38/5.23  % BCE start: 247
% 32.38/5.23  % BCE eliminated: 1
% 32.38/5.23  % PE start: 246
% 32.38/5.23  logic: eq
% 32.38/5.23  % PE eliminated: 13
% 32.38/5.23  % done 3166 iterations in 4.463s
% 32.38/5.23  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 32.38/5.23  % SZS output start Refutation
% See solution above
% 32.38/5.24  
% 32.38/5.24  
% 32.38/5.24  % Terminating...
% 32.89/5.36  % Runner terminated.
% 32.89/5.37  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------