Zipperpin---2.1.9999.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SCT171+7 : TPTP v9.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.P7IWPJAKWI true

% Computer : n028.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 : Thu Oct  2 04:50:57 PM UTC 2025

% Result   : Theorem 5.61s 1.40s
% Output   : Refutation 5.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   11 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives : 5141 (   4   ~;   1   |;   0   &;5135   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (  21 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  26 usr;  15 con; 0-4 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(product_prod_type,type,
    product_prod: $i > $i > $i ).

thf(c_type,type,
    c: $i ).

thf(f_type,type,
    f: $i ).

thf(arrow_2142409994le_alt_type,type,
    arrow_2142409994le_alt: $i ).

thf(arrow_1770777252_mktop_type,type,
    arrow_1770777252_mktop: $i ).

thf(arrow_1998540521e_indi_type,type,
    arrow_1998540521e_indi: $i ).

thf(combb_type,type,
    combb: $i > $i > $i > $i ).

thf(fun_type,type,
    fun: $i > $i > $i ).

thf(e_type,type,
    e: $i ).

thf(if_type,type,
    if: $i > $i ).

thf(combc_type,type,
    combc: $i > $i > $i > $i ).

thf(nat_type,type,
    nat: $i ).

thf(ord_less_type,type,
    ord_less: $i > $i ).

thf(n_type,type,
    n: $i ).

thf(combs_type,type,
    combs: $i > $i > $i > $i ).

thf(d_type,type,
    d: $i ).

thf(member_type,type,
    member: $i > $i ).

thf(hBOOL_type,type,
    hBOOL: $i > $o ).

thf(p_type,type,
    p: $i ).

thf(h_type,type,
    h: $i ).

thf(arrow_357225482_above_type,type,
    arrow_357225482_above: $i ).

thf(bool_type,type,
    bool: $i ).

thf(hAPP_type,type,
    hAPP: $i > $i > $i > $i > $i ).

thf(product_Pair_type,type,
    product_Pair: $i > $i > $i ).

thf(fequal_type,type,
    fequal: $i > $i ).

thf(arrow_1622070166_mkbot_type,type,
    arrow_1622070166_mkbot: $i ).

thf(fact_14_PW,axiom,
    ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) ) @ ( product_Pair @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ f @ p ) ) )
  <=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) ) @ ( product_Pair @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combs @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ arrow_1998540521e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1998540521e_indi @ bool ) ) @ ( combc @ arrow_1998540521e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ nat ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ nat ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1998540521e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combc @ arrow_1998540521e_indi @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ arrow_1998540521e_indi ) @ arrow_1770777252_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combs @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ arrow_1998540521e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1998540521e_indi @ bool ) ) @ ( combc @ arrow_1998540521e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ nat ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ nat ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1998540521e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combc @ arrow_1998540521e_indi @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1998540521e_indi @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ arrow_1998540521e_indi ) @ arrow_357225482_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combc @ arrow_1998540521e_indi @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ arrow_1998540521e_indi ) @ arrow_1622070166_mkbot ) @ p ) ) @ e ) ) ) ) ) ) ) ).

thf(zip_derived_cl47,plain,
    ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) ) @ ( product_Pair @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ f @ p ) ) )
    | ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) ) @ ( product_Pair @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combs @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ arrow_1998540521e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1998540521e_indi @ bool ) ) @ ( combc @ arrow_1998540521e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ nat ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ nat ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1998540521e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combc @ arrow_1998540521e_indi @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ arrow_1998540521e_indi ) @ arrow_1770777252_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combs @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ arrow_1998540521e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1998540521e_indi @ bool ) ) @ ( combc @ arrow_1998540521e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ nat ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ nat ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1998540521e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combc @ arrow_1998540521e_indi @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1998540521e_indi @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ arrow_1998540521e_indi ) @ arrow_357225482_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combc @ arrow_1998540521e_indi @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ arrow_1998540521e_indi ) @ arrow_1622070166_mkbot ) @ p ) ) @ e ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_14_PW]) ).

thf(conj_0,conjecture,
    hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) ) @ ( product_Pair @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ f @ p ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) ) @ ( product_Pair @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ f @ p ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl152,plain,
    ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) ) @ ( product_Pair @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ f @ p ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl245,plain,
    ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) ) @ ( product_Pair @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combs @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ arrow_1998540521e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1998540521e_indi @ bool ) ) @ ( combc @ arrow_1998540521e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ nat ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ nat ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1998540521e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combc @ arrow_1998540521e_indi @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ arrow_1998540521e_indi ) @ arrow_1770777252_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combs @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ arrow_1998540521e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1998540521e_indi @ bool ) ) @ ( combc @ arrow_1998540521e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ nat ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ nat ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1998540521e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combc @ arrow_1998540521e_indi @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1998540521e_indi @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ arrow_1998540521e_indi ) @ arrow_357225482_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combc @ arrow_1998540521e_indi @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ arrow_1998540521e_indi ) @ arrow_1622070166_mkbot ) @ p ) ) @ e ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl152]) ).

thf(fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
    hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) ) @ ( product_Pair @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combs @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ arrow_1998540521e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1998540521e_indi @ bool ) ) @ ( combc @ arrow_1998540521e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ nat ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ nat ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1998540521e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combc @ arrow_1998540521e_indi @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ arrow_1998540521e_indi ) @ arrow_1770777252_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combs @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ arrow_1998540521e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1998540521e_indi @ bool ) ) @ ( combc @ arrow_1998540521e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ nat ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ nat ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1998540521e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combc @ arrow_1998540521e_indi @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1998540521e_indi @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ arrow_1998540521e_indi ) @ arrow_357225482_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combc @ arrow_1998540521e_indi @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ arrow_1998540521e_indi ) @ arrow_1622070166_mkbot ) @ p ) ) @ e ) ) ) ) ) ).

thf(zip_derived_cl45,plain,
    hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) ) @ ( product_Pair @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combs @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ arrow_1998540521e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1998540521e_indi @ bool ) ) @ ( combc @ arrow_1998540521e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ nat ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ nat ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1998540521e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combc @ arrow_1998540521e_indi @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ arrow_1998540521e_indi ) @ arrow_1770777252_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combs @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ arrow_1998540521e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1998540521e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1998540521e_indi @ bool ) ) @ ( combc @ arrow_1998540521e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ nat ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ nat ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1998540521e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combc @ arrow_1998540521e_indi @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1998540521e_indi @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ arrow_1998540521e_indi ) @ arrow_357225482_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( combc @ arrow_1998540521e_indi @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1998540521e_indi @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ ( fun @ arrow_1998540521e_indi @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) @ ( fun @ arrow_2142409994le_alt @ ( fun @ ( product_prod @ arrow_2142409994le_alt @ arrow_2142409994le_alt ) @ bool ) ) @ arrow_1998540521e_indi ) @ arrow_1622070166_mkbot ) @ p ) ) @ e ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto]) ).

thf(zip_derived_cl272,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl245,zip_derived_cl45]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SCT171+7 : TPTP v9.2.0. Released v5.3.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.P7IWPJAKWI true
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Wed Oct  1 15:16:08 EDT 2025
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.51/0.62  % Total configuration time : 435
% 0.51/0.62  % Estimated wc time : 1092
% 0.51/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.61/1.40  % Solved by fo/fo4.sh.
% 5.61/1.40  % done 117 iterations in 0.568s
% 5.61/1.40  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.61/1.40  % SZS output start Refutation
% See solution above
% 5.61/1.41  
% 5.61/1.41  
% 5.61/1.41  % Terminating...
% 5.61/1.46  % Runner terminated.
% 5.61/1.47  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------