TSTP Solution File: SCT171+5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT171+5 : TPTP v8.1.2. Released v5.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lcSjbtf0rL true
% Computer : n019.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 Aug 31 14:27:31 EDT 2023
% Result : Theorem 1.23s 1.12s
% Output : Refutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 29
% Syntax : Number of formulae : 35 ( 7 unt; 26 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 : 24 ( 24 >; 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(arrow_844286440_mkbot_type,type,
arrow_844286440_mkbot: $i ).
thf(combc_type,type,
combc: $i > $i > $i > $i ).
thf(fequal_type,type,
fequal: $i > $i ).
thf(ord_less_type,type,
ord_less: $i > $i ).
thf(member_type,type,
member: $i > $i ).
thf(nat_type,type,
nat: $i ).
thf(product_Pair_type,type,
product_Pair: $i > $i > $i ).
thf(combs_type,type,
combs: $i > $i > $i > $i ).
thf(arrow_1212486748le_alt_type,type,
arrow_1212486748le_alt: $i ).
thf(f_type,type,
f: $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i > $i > $i ).
thf(arrow_1384031255e_indi_type,type,
arrow_1384031255e_indi: $i ).
thf(c_type,type,
c: $i ).
thf(fun_type,type,
fun: $i > $i > $i ).
thf(d_type,type,
d: $i ).
thf(p_type,type,
p: $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(n_type,type,
n: $i ).
thf(if_type,type,
if: $i > $i ).
thf(h_type,type,
h: $i ).
thf(combb_type,type,
combb: $i > $i > $i > $i ).
thf(arrow_1726925404_above_type,type,
arrow_1726925404_above: $i ).
thf(bool_type,type,
bool: $i ).
thf(e_type,type,
e: $i ).
thf(arrow_992993526_mktop_type,type,
arrow_992993526_mktop: $i ).
thf(fact_14_PW,axiom,
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) ) ) ).
thf(zip_derived_cl52,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_14_PW]) ).
thf(conj_0,conjecture,
hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl101,plain,
~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl104,plain,
~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl101]) ).
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_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) ).
thf(zip_derived_cl50,plain,
hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_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_cl143,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SCT171+5 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lcSjbtf0rL true
% 0.16/0.36 % Computer : n019.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu Aug 24 15:35:44 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % Running portfolio for 300 s
% 0.16/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.36 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.37 % Running in FO mode
% 0.23/0.67 % Total configuration time : 435
% 0.23/0.67 % Estimated wc time : 1092
% 0.23/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.10/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.10/0.87 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.23/1.12 % Solved by fo/fo4.sh.
% 1.23/1.12 % done 38 iterations in 0.191s
% 1.23/1.12 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.23/1.12 % SZS output start Refutation
% See solution above
% 1.23/1.13
% 1.23/1.13
% 1.23/1.13 % Terminating...
% 4.58/1.62 % Runner terminated.
% 4.58/1.63 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------