LEO-II---2.3.1.THM-CRf.s

%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : SCT171+1 : TPTP v9.3.1. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 10:38:35 AM UTC 2026

% Result   : Theorem 159.27s 26.77s
% Output   : CNFRefutation 26.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   58
%            Number of leaves      :  322
% Syntax   : Number of formulae    : 4156 (1754 unt;   0 typ;   0 def)
%            Number of atoms       : 46916 (17035 equ;   0 cnn)
%            Maximal formula atoms :   16 (  11 avg)
%            Number of connectives : 128962 (15713   ~;16772   |; 171   &;95091   @)
%                                         ( 150 <=>;1065  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  259 ( 256 usr;  64 con; 0-6 aty)
%            Number of variables   : 12257 (   0   ^;12254   !;   3   ?;12257   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_a,type,
    a: $i ).

thf(tp_arrow_1212118780le_IIA,type,
    arrow_1212118780le_IIA: $i ).

thf(tp_arrow_1239002508le_Lin,type,
    arrow_1239002508le_Lin: $i ).

thf(tp_arrow_1812558424le_alt,type,
    arrow_1812558424le_alt: $i ).

thf(tp_arrow_2061665457ctator,type,
    arrow_2061665457ctator: $i ).

thf(tp_arrow_2077223396_mkbot,type,
    arrow_2077223396_mkbot: $i ).

thf(tp_arrow_2110637339e_indi,type,
    arrow_2110637339e_indi: $i ).

thf(tp_arrow_413697182e_Prof,type,
    arrow_413697182e_Prof: $i ).

thf(tp_arrow_467566751nimity,type,
    arrow_467566751nimity: $i ).

thf(tp_arrow_78446834_mktop,type,
    arrow_78446834_mktop: $i ).

thf(tp_arrow_812378712_above,type,
    arrow_812378712_above: $i ).

thf(tp_b,type,
    b: $i ).

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

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

thf(tp_cOMBB_1292070696e_indi,type,
    cOMBB_1292070696e_indi: $i > $i > $i ).

thf(tp_cOMBB_317992461e_indi,type,
    cOMBB_317992461e_indi: $i > $i > $i ).

thf(tp_cOMBB_69933763e_indi,type,
    cOMBB_69933763e_indi: $i > $i > $i ).

thf(tp_cOMBB_963584201e_indi,type,
    cOMBB_963584201e_indi: $i > $i > $i ).

thf(tp_cOMBC_1778077589t_bool,type,
    cOMBC_1778077589t_bool: $i > $i > $i ).

thf(tp_cOMBC_277798809t_bool,type,
    cOMBC_277798809t_bool: $i > $i > $i ).

thf(tp_cOMBC_437064334t_bool,type,
    cOMBC_437064334t_bool: $i > $i > $i ).

thf(tp_cOMBC_481590946t_bool,type,
    cOMBC_481590946t_bool: $i > $i > $i ).

thf(tp_cOMBC_493523632t_bool,type,
    cOMBC_493523632t_bool: $i > $i > $i ).

thf(tp_cOMBK_100791596le_alt,type,
    cOMBK_100791596le_alt: $i ).

thf(tp_cOMBK_1015076504t_bool,type,
    cOMBK_1015076504t_bool: $i ).

thf(tp_cOMBK_1072228194t_bool,type,
    cOMBK_1072228194t_bool: $i ).

thf(tp_cOMBK_1088865252t_bool,type,
    cOMBK_1088865252t_bool: $i ).

thf(tp_cOMBK_1152753196e_indi,type,
    cOMBK_1152753196e_indi: $i ).

thf(tp_cOMBK_1157044842e_indi,type,
    cOMBK_1157044842e_indi: $i ).

thf(tp_cOMBK_1158753900e_indi,type,
    cOMBK_1158753900e_indi: $i ).

thf(tp_cOMBK_116240846e_indi,type,
    cOMBK_116240846e_indi: $i ).

thf(tp_cOMBK_1268833122l_bool,type,
    cOMBK_1268833122l_bool: $i ).

thf(tp_cOMBK_1292462166e_indi,type,
    cOMBK_1292462166e_indi: $i ).

thf(tp_cOMBK_1372975190t_bool,type,
    cOMBK_1372975190t_bool: $i ).

thf(tp_cOMBK_2008994872le_alt,type,
    cOMBK_2008994872le_alt: $i ).

thf(tp_cOMBK_2069093696le_alt,type,
    cOMBK_2069093696le_alt: $i ).

thf(tp_cOMBK_2076140708t_bool,type,
    cOMBK_2076140708t_bool: $i ).

thf(tp_cOMBK_454107598t_bool,type,
    cOMBK_454107598t_bool: $i ).

thf(tp_cOMBK_580911210t_bool,type,
    cOMBK_580911210t_bool: $i ).

thf(tp_cOMBK_697604314l_bool,type,
    cOMBK_697604314l_bool: $i ).

thf(tp_cOMBK_697786936l_bool,type,
    cOMBK_697786936l_bool: $i ).

thf(tp_cOMBK_789167586t_bool,type,
    cOMBK_789167586t_bool: $i ).

thf(tp_cOMBK_886533338t_bool,type,
    cOMBK_886533338t_bool: $i ).

thf(tp_cOMBK_971068024l_bool,type,
    cOMBK_971068024l_bool: $i ).

thf(tp_cOMBK_977355664t_bool,type,
    cOMBK_977355664t_bool: $i ).

thf(tp_cOMBS_102864562t_bool,type,
    cOMBS_102864562t_bool: $i > $i > $i ).

thf(tp_cOMBS_867867294t_bool,type,
    cOMBS_867867294t_bool: $i > $i > $i ).

thf(tp_collec1520786044t_bool,type,
    collec1520786044t_bool: $i > $i ).

thf(tp_collec1580242420t_bool,type,
    collec1580242420t_bool: $i > $i ).

thf(tp_collec1711870802le_alt,type,
    collec1711870802le_alt: $i > $i ).

thf(tp_collec45183100e_indi,type,
    collec45183100e_indi: $i > $i ).

thf(tp_collec874260222t_bool,type,
    collec874260222t_bool: $i > $i ).

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

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

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

thf(tp_fFalse,type,
    fFalse: $i ).

thf(tp_fTrue,type,
    fTrue: $i ).

thf(tp_fequal_nat,type,
    fequal_nat: $i ).

thf(tp_finite120254591e_indi,type,
    finite120254591e_indi: $i > $i ).

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

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

thf(tp_hAPP_A1062826149t_bool,type,
    hAPP_A1062826149t_bool: $i > $i > $i ).

thf(tp_hAPP_A1333445289t_bool,type,
    hAPP_A1333445289t_bool: $i > $i > $i ).

thf(tp_hAPP_A1374816149t_bool,type,
    hAPP_A1374816149t_bool: $i > $i > $i ).

thf(tp_hAPP_A1466488369i_bool,type,
    hAPP_A1466488369i_bool: $i > $i > $i ).

thf(tp_hAPP_A1594182429t_bool,type,
    hAPP_A1594182429t_bool: $i > $i > $i ).

thf(tp_hAPP_A1736628091le_alt,type,
    hAPP_A1736628091le_alt: $i > $i > $i ).

thf(tp_hAPP_A1912483895l_bool,type,
    hAPP_A1912483895l_bool: $i > $i > $i ).

thf(tp_hAPP_A1922697556t_bool,type,
    hAPP_A1922697556t_bool: $i > $i > $i ).

thf(tp_hAPP_A1944296755l_bool,type,
    hAPP_A1944296755l_bool: $i > $i > $i ).

thf(tp_hAPP_A1964572607l_bool,type,
    hAPP_A1964572607l_bool: $i > $i > $i ).

thf(tp_hAPP_A384644407t_bool,type,
    hAPP_A384644407t_bool: $i > $i > $i ).

thf(tp_hAPP_A460042315t_bool,type,
    hAPP_A460042315t_bool: $i > $i > $i ).

thf(tp_hAPP_A588601142di_nat,type,
    hAPP_A588601142di_nat: $i > $i > $i ).

thf(tp_hAPP_A619995676t_bool,type,
    hAPP_A619995676t_bool: $i > $i > $i ).

thf(tp_hAPP_A702630576t_bool,type,
    hAPP_A702630576t_bool: $i > $i > $i ).

thf(tp_hAPP_A869356733t_bool,type,
    hAPP_A869356733t_bool: $i > $i > $i ).

thf(tp_hAPP_P2024088443e_indi,type,
    hAPP_P2024088443e_indi: $i > $i > $i ).

thf(tp_hAPP_P2075002375t_bool,type,
    hAPP_P2075002375t_bool: $i > $i > $i ).

thf(tp_hAPP_P2127852789l_bool,type,
    hAPP_P2127852789l_bool: $i > $i > $i ).

thf(tp_hAPP_P907763049i_bool,type,
    hAPP_P907763049i_bool: $i > $i > $i ).

thf(tp_hAPP_b1018211123i_bool,type,
    hAPP_b1018211123i_bool: $i > $i > $i ).

thf(tp_hAPP_b1024867081t_bool,type,
    hAPP_b1024867081t_bool: $i > $i > $i ).

thf(tp_hAPP_b1719629739l_bool,type,
    hAPP_b1719629739l_bool: $i > $i > $i ).

thf(tp_hAPP_b1817367815le_alt,type,
    hAPP_b1817367815le_alt: $i > $i > $i ).

thf(tp_hAPP_b1915039793t_bool,type,
    hAPP_b1915039793t_bool: $i > $i > $i ).

thf(tp_hAPP_b1965422783l_bool,type,
    hAPP_b1965422783l_bool: $i > $i > $i ).

thf(tp_hAPP_b331122225t_bool,type,
    hAPP_b331122225t_bool: $i > $i > $i ).

thf(tp_hAPP_b589554111l_bool,type,
    hAPP_b589554111l_bool: $i > $i > $i ).

thf(tp_hAPP_b833696937t_bool,type,
    hAPP_b833696937t_bool: $i > $i > $i ).

thf(tp_hAPP_b990649139l_bool,type,
    hAPP_b990649139l_bool: $i > $i > $i ).

thf(tp_hAPP_bool_bool,type,
    hAPP_bool_bool: $i > $i > $i ).

thf(tp_hAPP_f1012384989l_bool,type,
    hAPP_f1012384989l_bool: $i > $i > $i ).

thf(tp_hAPP_f1018082273l_bool,type,
    hAPP_f1018082273l_bool: $i > $i > $i ).

thf(tp_hAPP_f1235573641l_bool,type,
    hAPP_f1235573641l_bool: $i > $i > $i ).

thf(tp_hAPP_f1271180905l_bool,type,
    hAPP_f1271180905l_bool: $i > $i > $i ).

thf(tp_hAPP_f1279200745l_bool,type,
    hAPP_f1279200745l_bool: $i > $i > $i ).

thf(tp_hAPP_f1290184496t_bool,type,
    hAPP_f1290184496t_bool: $i > $i > $i ).

thf(tp_hAPP_f1336478923t_bool,type,
    hAPP_f1336478923t_bool: $i > $i > $i ).

thf(tp_hAPP_f1507266205t_bool,type,
    hAPP_f1507266205t_bool: $i > $i > $i ).

thf(tp_hAPP_f1520552209t_bool,type,
    hAPP_f1520552209t_bool: $i > $i > $i ).

thf(tp_hAPP_f1550037191l_bool,type,
    hAPP_f1550037191l_bool: $i > $i > $i ).

thf(tp_hAPP_f159424297t_bool,type,
    hAPP_f159424297t_bool: $i > $i > $i ).

thf(tp_hAPP_f1636546729l_bool,type,
    hAPP_f1636546729l_bool: $i > $i > $i ).

thf(tp_hAPP_f1659504677e_indi,type,
    hAPP_f1659504677e_indi: $i > $i > $i ).

thf(tp_hAPP_f1667233577l_bool,type,
    hAPP_f1667233577l_bool: $i > $i > $i ).

thf(tp_hAPP_f1669465919l_bool,type,
    hAPP_f1669465919l_bool: $i > $i > $i ).

thf(tp_hAPP_f1673487381t_bool,type,
    hAPP_f1673487381t_bool: $i > $i > $i ).

thf(tp_hAPP_f1677452273i_bool,type,
    hAPP_f1677452273i_bool: $i > $i > $i ).

thf(tp_hAPP_f1697527281l_bool,type,
    hAPP_f1697527281l_bool: $i > $i > $i ).

thf(tp_hAPP_f1710416135l_bool,type,
    hAPP_f1710416135l_bool: $i > $i > $i ).

thf(tp_hAPP_f1724001331l_bool,type,
    hAPP_f1724001331l_bool: $i > $i > $i ).

thf(tp_hAPP_f1760255479l_bool,type,
    hAPP_f1760255479l_bool: $i > $i > $i ).

thf(tp_hAPP_f1766869725l_bool,type,
    hAPP_f1766869725l_bool: $i > $i > $i ).

thf(tp_hAPP_f1818473245e_indi,type,
    hAPP_f1818473245e_indi: $i > $i > $i ).

thf(tp_hAPP_f1895985727l_bool,type,
    hAPP_f1895985727l_bool: $i > $i > $i ).

thf(tp_hAPP_f1903519657i_bool,type,
    hAPP_f1903519657i_bool: $i > $i > $i ).

thf(tp_hAPP_f1970593179i_bool,type,
    hAPP_f1970593179i_bool: $i > $i > $i ).

thf(tp_hAPP_f1979025587l_bool,type,
    hAPP_f1979025587l_bool: $i > $i > $i ).

thf(tp_hAPP_f20355883l_bool,type,
    hAPP_f20355883l_bool: $i > $i > $i ).

thf(tp_hAPP_f204273237l_bool,type,
    hAPP_f204273237l_bool: $i > $i > $i ).

thf(tp_hAPP_f2056167603l_bool,type,
    hAPP_f2056167603l_bool: $i > $i > $i ).

thf(tp_hAPP_f213304539l_bool,type,
    hAPP_f213304539l_bool: $i > $i > $i ).

thf(tp_hAPP_f2135750719l_bool,type,
    hAPP_f2135750719l_bool: $i > $i > $i ).

thf(tp_hAPP_f219827985l_bool,type,
    hAPP_f219827985l_bool: $i > $i > $i ).

thf(tp_hAPP_f234874197l_bool,type,
    hAPP_f234874197l_bool: $i > $i > $i ).

thf(tp_hAPP_f281286919l_bool,type,
    hAPP_f281286919l_bool: $i > $i > $i ).

thf(tp_hAPP_f313042899l_bool,type,
    hAPP_f313042899l_bool: $i > $i > $i ).

thf(tp_hAPP_f352490559i_bool,type,
    hAPP_f352490559i_bool: $i > $i > $i ).

thf(tp_hAPP_f355113919i_bool,type,
    hAPP_f355113919i_bool: $i > $i > $i ).

thf(tp_hAPP_f371807573l_bool,type,
    hAPP_f371807573l_bool: $i > $i > $i ).

thf(tp_hAPP_f387058535l_bool,type,
    hAPP_f387058535l_bool: $i > $i > $i ).

thf(tp_hAPP_f417299659l_bool,type,
    hAPP_f417299659l_bool: $i > $i > $i ).

thf(tp_hAPP_f448497509l_bool,type,
    hAPP_f448497509l_bool: $i > $i > $i ).

thf(tp_hAPP_f453661011l_bool,type,
    hAPP_f453661011l_bool: $i > $i > $i ).

thf(tp_hAPP_f460310451l_bool,type,
    hAPP_f460310451l_bool: $i > $i > $i ).

thf(tp_hAPP_f483434675l_bool,type,
    hAPP_f483434675l_bool: $i > $i > $i ).

thf(tp_hAPP_f497468491l_bool,type,
    hAPP_f497468491l_bool: $i > $i > $i ).

thf(tp_hAPP_f500145249l_bool,type,
    hAPP_f500145249l_bool: $i > $i > $i ).

thf(tp_hAPP_f503012287l_bool,type,
    hAPP_f503012287l_bool: $i > $i > $i ).

thf(tp_hAPP_f526292585l_bool,type,
    hAPP_f526292585l_bool: $i > $i > $i ).

thf(tp_hAPP_f592909149l_bool,type,
    hAPP_f592909149l_bool: $i > $i > $i ).

thf(tp_hAPP_f618619045e_indi,type,
    hAPP_f618619045e_indi: $i > $i > $i ).

thf(tp_hAPP_f681113465i_bool,type,
    hAPP_f681113465i_bool: $i > $i > $i ).

thf(tp_hAPP_f695124765t_bool,type,
    hAPP_f695124765t_bool: $i > $i > $i ).

thf(tp_hAPP_f745298353l_bool,type,
    hAPP_f745298353l_bool: $i > $i > $i ).

thf(tp_hAPP_f749892423i_bool,type,
    hAPP_f749892423i_bool: $i > $i > $i ).

thf(tp_hAPP_f785543729l_bool,type,
    hAPP_f785543729l_bool: $i > $i > $i ).

thf(tp_hAPP_f813556705l_bool,type,
    hAPP_f813556705l_bool: $i > $i > $i ).

thf(tp_hAPP_f861484971l_bool,type,
    hAPP_f861484971l_bool: $i > $i > $i ).

thf(tp_hAPP_f919661787l_bool,type,
    hAPP_f919661787l_bool: $i > $i > $i ).

thf(tp_hAPP_n1699378549t_bool,type,
    hAPP_n1699378549t_bool: $i > $i > $i ).

thf(tp_hAPP_n385347014e_indi,type,
    hAPP_n385347014e_indi: $i > $i > $i ).

thf(tp_hAPP_nat_bool,type,
    hAPP_nat_bool: $i > $i > $i ).

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

thf(tp_hilber1792103167di_nat,type,
    hilber1792103167di_nat: $i > $i > $i ).

thf(tp_if_fun1419651289t_bool,type,
    if_fun1419651289t_bool: $i ).

thf(tp_inj_on24934938di_nat,type,
    inj_on24934938di_nat: $i > $i > $i ).

thf(tp_is_Arr553848933le_alt,type,
    is_Arr553848933le_alt: $i > $o ).

thf(tp_is_Arr625519182e_indi,type,
    is_Arr625519182e_indi: $i > $o ).

thf(tp_is_bool,type,
    is_bool: $i > $o ).

thf(tp_is_fun1016509681e_indi,type,
    is_fun1016509681e_indi: $i > $o ).

thf(tp_is_fun282293932t_bool,type,
    is_fun282293932t_bool: $i > $o ).

thf(tp_is_fun432044380l_bool,type,
    is_fun432044380l_bool: $i > $o ).

thf(tp_is_fun631676118l_bool,type,
    is_fun631676118l_bool: $i > $o ).

thf(tp_is_fun917378774i_bool,type,
    is_fun917378774i_bool: $i > $o ).

thf(tp_is_fun959573582l_bool,type,
    is_fun959573582l_bool: $i > $o ).

thf(tp_lab,type,
    lab: $i ).

thf(tp_lba,type,
    lba: $i ).

thf(tp_member1033316428l_bool,type,
    member1033316428l_bool: $i > $i ).

thf(tp_member1056080916le_alt,type,
    member1056080916le_alt: $i > $i ).

thf(tp_member1105181906e_indi,type,
    member1105181906e_indi: $i > $i ).

thf(tp_member1122398042e_indi,type,
    member1122398042e_indi: $i > $i ).

thf(tp_member1277417654t_bool,type,
    member1277417654t_bool: $i > $i ).

thf(tp_member1467476314t_bool,type,
    member1467476314t_bool: $i > $i ).

thf(tp_member1622429502t_bool,type,
    member1622429502t_bool: $i > $i ).

thf(tp_member1661336414l_bool,type,
    member1661336414l_bool: $i > $i ).

thf(tp_member1833291218t_bool,type,
    member1833291218t_bool: $i > $i ).

thf(tp_member1911067358t_bool,type,
    member1911067358t_bool: $i > $i ).

thf(tp_member1965683644t_bool,type,
    member1965683644t_bool: $i > $i ).

thf(tp_member2074804542e_indi,type,
    member2074804542e_indi: $i > $i ).

thf(tp_member2081512038t_bool,type,
    member2081512038t_bool: $i > $i ).

thf(tp_member329987264e_indi,type,
    member329987264e_indi: $i > $i ).

thf(tp_member387398118l_bool,type,
    member387398118l_bool: $i > $i ).

thf(tp_member42699324le_alt,type,
    member42699324le_alt: $i > $i ).

thf(tp_member497701034t_bool,type,
    member497701034t_bool: $i > $i ).

thf(tp_member765089840e_indi,type,
    member765089840e_indi: $i > $i ).

thf(tp_member859582768le_alt,type,
    member859582768le_alt: $i > $i ).

thf(tp_member_bool,type,
    member_bool: $i > $i ).

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

thf(tp_ord_le1480133609l_bool,type,
    ord_le1480133609l_bool: $i ).

thf(tp_ord_le227393471t_bool,type,
    ord_le227393471t_bool: $i ).

thf(tp_ord_le272605321l_bool,type,
    ord_le272605321l_bool: $i ).

thf(tp_ord_le453141089l_bool,type,
    ord_le453141089l_bool: $i ).

thf(tp_ord_le694128617i_bool,type,
    ord_le694128617i_bool: $i ).

thf(tp_ord_less_bool,type,
    ord_less_bool: $i ).

thf(tp_ord_less_nat,type,
    ord_less_nat: $i ).

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

thf(tp_pi_Arr149813489le_alt,type,
    pi_Arr149813489le_alt: $i > $i > $i ).

thf(tp_pi_Arr1511953043t_bool,type,
    pi_Arr1511953043t_bool: $i > $i > $i ).

thf(tp_pi_Arr372473371t_bool,type,
    pi_Arr372473371t_bool: $i > $i > $i ).

thf(tp_pi_Arr688267935t_bool,type,
    pi_Arr688267935t_bool: $i > $i > $i ).

thf(tp_pi_Pro2135156861t_bool,type,
    pi_Pro2135156861t_bool: $i > $i > $i ).

thf(tp_pi_Pro437273841e_indi,type,
    pi_Pro437273841e_indi: $i > $i > $i ).

thf(tp_pi_boo1877522301le_alt,type,
    pi_boo1877522301le_alt: $i > $i > $i ).

thf(tp_pi_boo2007389459t_bool,type,
    pi_boo2007389459t_bool: $i > $i > $i ).

thf(tp_pi_boo691944735t_bool,type,
    pi_boo691944735t_bool: $i > $i > $i ).

thf(tp_pi_boo71521447t_bool,type,
    pi_boo71521447t_bool: $i > $i > $i ).

thf(tp_pi_fun1494794527l_bool,type,
    pi_fun1494794527l_bool: $i > $i > $i ).

thf(tp_pi_fun1727820731l_bool,type,
    pi_fun1727820731l_bool: $i > $i > $i ).

thf(tp_pi_fun1736243859e_indi,type,
    pi_fun1736243859e_indi: $i > $i > $i ).

thf(tp_pi_fun2075749915e_indi,type,
    pi_fun2075749915e_indi: $i > $i > $i ).

thf(tp_pi_fun433100839t_bool,type,
    pi_fun433100839t_bool: $i > $i > $i ).

thf(tp_pi_fun525942951l_bool,type,
    pi_fun525942951l_bool: $i > $i > $i ).

thf(tp_pi_fun972956463e_indi,type,
    pi_fun972956463e_indi: $i > $i > $i ).

thf(tp_produc171383831le_alt,type,
    produc171383831le_alt: $i > $i > $i ).

thf(tp_product_prod,type,
    product_prod: $i > $i > $i ).

thf(tp_sK10_SY1247,type,
    sK10_SY1247: $i > $i > $i ).

thf(tp_sK11_SY1412,type,
    sK11_SY1412: $i > $i ).

thf(tp_sK12_SY1250,type,
    sK12_SY1250: $i > $i > $i ).

thf(tp_sK13_SY1419,type,
    sK13_SY1419: $i > $i ).

thf(tp_sK14_SY1423,type,
    sK14_SY1423: $i > $i > $i ).

thf(tp_sK15_SY1428,type,
    sK15_SY1428: $i > $i ).

thf(tp_sK16_SY1433,type,
    sK16_SY1433: $i > $i > $i ).

thf(tp_sK17_SY1427,type,
    sK17_SY1427: $i > $i > $i ).

thf(tp_sK18_SY1430,type,
    sK18_SY1430: $i > $i ).

thf(tp_sK19_SY1441,type,
    sK19_SY1441: $i > $i ).

thf(tp_sK1_SY969,type,
    sK1_SY969: $i > $i ).

thf(tp_sK20_SY1218,type,
    sK20_SY1218: $i > $i > $i ).

thf(tp_sK21_SY1287,type,
    sK21_SY1287: $i > $i > $i ).

thf(tp_sK22_SY1447,type,
    sK22_SY1447: $i > $i > $i ).

thf(tp_sK23_SY1440,type,
    sK23_SY1440: $i > $i > $i > $i > $i ).

thf(tp_sK24_SY1394,type,
    sK24_SY1394: $i > $i > $i > $i > $i ).

thf(tp_sK25_SY1446,type,
    sK25_SY1446: $i > $i > $i > $i > $i > $i ).

thf(tp_sK26_SY1404,type,
    sK26_SY1404: $i > $i > $i > $i > $i > $i ).

thf(tp_sK27_SY1405,type,
    sK27_SY1405: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK28_SY1406,type,
    sK28_SY1406: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK29_SY1407,type,
    sK29_SY1407: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK2_SY1395,type,
    sK2_SY1395: $i > $i ).

thf(tp_sK3_SY855,type,
    sK3_SY855: $i > $i ).

thf(tp_sK4_SY858,type,
    sK4_SY858: $i > $i ).

thf(tp_sK5_SY917,type,
    sK5_SY917: $i > $i ).

thf(tp_sK6_SY1005,type,
    sK6_SY1005: $i > $i ).

thf(tp_sK7_SY1254,type,
    sK7_SY1254: $i > $i > $i ).

thf(tp_sK8_SY1408,type,
    sK8_SY1408: $i > $i ).

thf(tp_sK9_SY1199,type,
    sK9_SY1199: $i > $i > $i ).

thf(tp_top_to1194196741l_bool,type,
    top_to1194196741l_bool: $i ).

thf(tp_top_to1256827021i_bool,type,
    top_to1256827021i_bool: $i ).

thf(tp_top_to1647826457l_bool,type,
    top_to1647826457l_bool: $i ).

thf(tp_top_to2005687013l_bool,type,
    top_to2005687013l_bool: $i ).

thf(tp_top_to2034604131t_bool,type,
    top_to2034604131t_bool: $i ).

thf(tp_top_to40512653l_bool,type,
    top_to40512653l_bool: $i ).

thf(tp_top_top_bool,type,
    top_top_bool: $i ).

thf(tp_undefi1301554228le_alt,type,
    undefi1301554228le_alt: $i > $i ).

thf(tp_undefi802509179t_bool,type,
    undefi802509179t_bool: $i > $i ).

thf(tp_undefi818645567e_indi,type,
    undefi818645567e_indi: $i > $i ).

thf(1,axiom,
    ! [P: $i,Q: $i,R: $i] :
      ( ( hAPP_A869356733t_bool @ ( cOMBB_963584201e_indi @ P @ Q ) @ R )
      = ( hAPP_b1915039793t_bool @ P @ ( hAPP_A1466488369i_bool @ Q @ R ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow_) ).

thf(2,axiom,
    ! [P: $i,Q: $i,R: $i] :
      ( ( hAPP_A1333445289t_bool @ ( cOMBS_102864562t_bool @ P @ Q ) @ R )
      = ( hAPP_f159424297t_bool @ ( hAPP_A869356733t_bool @ P @ R ) @ ( hAPP_A1374816149t_bool @ Q @ R ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_041) ).

thf(3,axiom,
    ! [P: $i,Q: $i,R: $i] :
      ( ( hAPP_A1333445289t_bool @ ( cOMBC_481590946t_bool @ P @ Q ) @ R )
      = ( hAPP_f159424297t_bool @ ( hAPP_A869356733t_bool @ P @ R ) @ Q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_040) ).

thf(4,axiom,
    ! [P: $i,Q: $i,R: $i] :
      ( ( hAPP_A460042315t_bool @ ( cOMBB_69933763e_indi @ P @ Q ) @ R )
      = ( hAPP_f1336478923t_bool @ P @ ( hAPP_A1374816149t_bool @ Q @ R ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj_039) ).

thf(5,axiom,
    ! [P: $i,Q: $i] :
      ( ( is_fun631676118l_bool @ P )
     => ( ( hAPP_A1964572607l_bool @ ( hAPP_f1697527281l_bool @ cOMBK_1292462166e_indi @ P ) @ Q )
        = P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel_038) ).

thf(6,axiom,
    ! [P: $i,Q: $i] :
      ( ( is_fun917378774i_bool @ P )
     => ( ( hAPP_f355113919i_bool @ ( hAPP_f1677452273i_bool @ cOMBK_1372975190t_bool @ P ) @ Q )
        = P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___037) ).

thf(7,axiom,
    ! [P: $i,Q: $i,R: $i] :
      ( ( hAPP_A702630576t_bool @ ( cOMBB_1292070696e_indi @ P @ Q ) @ R )
      = ( hAPP_f1290184496t_bool @ P @ ( hAPP_A1374816149t_bool @ Q @ R ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj) ).

thf(8,axiom,
    ! [P: $i,Q: $i] :
      ( ( is_fun631676118l_bool @ P )
     => ( ( hAPP_b990649139l_bool @ ( hAPP_f448497509l_bool @ cOMBK_1268833122l_bool @ P ) @ Q )
        = P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel) ).

thf(9,axiom,
    ! [P: $i,Q: $i] :
      ( ( hAPP_f497468491l_bool @ ( hAPP_f1235573641l_bool @ cOMBK_1072228194t_bool @ P ) @ Q )
      = P ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_036) ).

thf(10,axiom,
    ! [P: $i,Q: $i] :
      ( ( is_fun432044380l_bool @ P )
     => ( ( hAPP_f861484971l_bool @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ P ) @ Q )
        = P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_035) ).

thf(11,axiom,
    ! [P: $i,Q: $i] :
      ( ( is_bool @ P )
     => ( ( hAPP_f785543729l_bool @ ( hAPP_b990649139l_bool @ cOMBK_580911210t_bool @ P ) @ Q )
        = P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order__) ).

thf(12,axiom,
    ! [P: $i,Q: $i,R: $i] :
      ( ( hAPP_A1374816149t_bool @ ( cOMBS_867867294t_bool @ P @ Q ) @ R )
      = ( hAPP_f1673487381t_bool @ ( hAPP_A1333445289t_bool @ P @ R ) @ ( hAPP_A1374816149t_bool @ Q @ R ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000) ).

thf(13,axiom,
    ! [P: $i,Q: $i,R: $i] :
      ( ( hAPP_A1374816149t_bool @ ( cOMBC_437064334t_bool @ P @ Q ) @ R )
      = ( hAPP_f1673487381t_bool @ ( hAPP_A1333445289t_bool @ P @ R ) @ Q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_034) ).

thf(14,axiom,
    ! [P: $i,Q: $i,R: $i] :
      ( ( hAPP_A702630576t_bool @ ( cOMBC_493523632t_bool @ P @ Q ) @ R )
      = ( hAPP_A384644407t_bool @ ( hAPP_A460042315t_bool @ P @ R ) @ Q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_033) ).

thf(15,axiom,
    ! [P: $i,Q: $i] :
      ( ( is_fun959573582l_bool @ P )
     => ( ( hAPP_A1912483895l_bool @ ( hAPP_f813556705l_bool @ cOMBK_116240846e_indi @ P ) @ Q )
        = P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje_032) ).

thf(16,axiom,
    ! [P: $i,Q: $i] :
      ( ( is_fun917378774i_bool @ P )
     => ( ( hAPP_f749892423i_bool @ ( hAPP_f681113465i_bool @ cOMBK_454107598t_bool @ P ) @ Q )
        = P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___031) ).

thf(17,axiom,
    ! [P: $i,Q: $i,R: $i] :
      ( ( hAPP_A1374816149t_bool @ ( cOMBC_1778077589t_bool @ P @ Q ) @ R )
      = ( hAPP_A619995676t_bool @ ( hAPP_A702630576t_bool @ P @ R ) @ Q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_030) ).

thf(18,axiom,
    ! [P: $i,Q: $i] :
      ( ( is_fun959573582l_bool @ P )
     => ( ( hAPP_b1719629739l_bool @ ( hAPP_f371807573l_bool @ cOMBK_697604314l_bool @ P ) @ Q )
        = P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje) ).

thf(19,axiom,
    ! [P: $i,Q: $i] :
      ( ( hAPP_f313042899l_bool @ ( hAPP_f219827985l_bool @ cOMBK_886533338t_bool @ P ) @ Q )
      = P ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_029) ).

thf(20,axiom,
    ! [P: $i,Q: $i] :
      ( ( is_fun432044380l_bool @ P )
     => ( ( hAPP_A1944296755l_bool @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ P ) @ Q )
        = P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_028) ).

thf(21,axiom,
    ! [P: $i,Q: $i] :
      ( ( is_fun917378774i_bool @ P )
     => ( ( hAPP_f352490559i_bool @ ( hAPP_f1903519657i_bool @ cOMBK_2076140708t_bool @ P ) @ Q )
        = P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___027) ).

thf(22,axiom,
    ! [P: $i,Q: $i] :
      ( ( is_bool @ P )
     => ( ( hAPP_f1636546729l_bool @ ( hAPP_b1719629739l_bool @ cOMBK_789167586t_bool @ P ) @ Q )
        = P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabel) ).

thf(23,axiom,
    ! [P: $i,Q: $i] :
      ( ( is_fun282293932t_bool @ P )
     => ( ( hAPP_A1374816149t_bool @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ P ) @ Q )
        = P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj_026) ).

thf(24,axiom,
    ! [P: $i,Q: $i] :
      ( ( is_fun917378774i_bool @ P )
     => ( ( hAPP_P907763049i_bool @ ( hAPP_f1970593179i_bool @ cOMBK_100791596le_alt @ P ) @ Q )
        = P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__) ).

thf(25,axiom,
    ! [P: $i,Q: $i] :
      ( ( is_fun432044380l_bool @ P )
     => ( ( hAPP_b1965422783l_bool @ ( hAPP_f2135750719l_bool @ cOMBK_971068024l_bool @ P ) @ Q )
        = P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe) ).

thf(26,axiom,
    ! [P: $i,Q: $i] :
      ( ( hAPP_f417299659l_bool @ ( hAPP_f1667233577l_bool @ cOMBK_1015076504t_bool @ P ) @ Q )
      = P ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc) ).

thf(27,axiom,
    ! [P: $i,Q: $i] :
      ( ( is_fun282293932t_bool @ P )
     => ( ( hAPP_b1024867081t_bool @ ( hAPP_f1520552209t_bool @ cOMBK_697786936l_bool @ P ) @ Q )
        = P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj) ).

thf(28,axiom,
    ! [P: $i,Q: $i] :
      ( ( hAPP_P2127852789l_bool @ ( hAPP_f1724001331l_bool @ cOMBK_2008994872le_alt @ P ) @ Q )
      = P ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__prod_It) ).

thf(29,axiom,
    ! [P: $i,Q: $i] :
      ( ( is_bool @ P )
     => ( ( hAPP_f745298353l_bool @ ( hAPP_b1965422783l_bool @ cOMBK_977355664t_bool @ P ) @ Q )
        = P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order_) ).

thf(30,axiom,
    ! [P: $i] :
      ( ( is_bool @ P )
     => ( ( P = fTrue )
        | ( P = fFalse ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn) ).

thf(31,axiom,
    ! [X: $i,Y: $i] :
      ( ( is_fun282293932t_bool @ Y )
     => ( ( hAPP_f1673487381t_bool @ ( hAPP_f159424297t_bool @ ( hAPP_b1915039793t_bool @ if_fun1419651289t_bool @ fFalse ) @ X ) @ Y )
        = Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_2_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn) ).

thf(32,axiom,
    ! [X: $i,Y: $i] :
      ( ( is_fun282293932t_bool @ X )
     => ( ( hAPP_f1673487381t_bool @ ( hAPP_f159424297t_bool @ ( hAPP_b1915039793t_bool @ if_fun1419651289t_bool @ fTrue ) @ X ) @ Y )
        = X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_1_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn) ).

thf(33,axiom,
    ! [P: $i,Q: $i] :
      ( ( is_bool @ P )
     => ( ( hAPP_P2075002375t_bool @ ( hAPP_b1024867081t_bool @ cOMBK_2069093696le_alt @ P ) @ Q )
        = P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__prod_Itc__Arrow____Order____Mirabe) ).

thf(34,axiom,
    ! [P: $i,Q: $i,R: $i] :
      ( ( hAPP_A1922697556t_bool @ ( cOMBB_317992461e_indi @ P @ Q ) @ R )
      = ( hAPP_n1699378549t_bool @ P @ ( hAPP_A588601142di_nat @ Q @ R ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_) ).

thf(35,axiom,
    ! [P: $i,Q: $i,R: $i] :
      ( ( hAPP_A1466488369i_bool @ ( cOMBC_277798809t_bool @ P @ Q ) @ R )
      = ( hAPP_nat_bool @ ( hAPP_A1922697556t_bool @ P @ R ) @ Q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000) ).

thf(36,axiom,
    ! [P: $i,Q: $i] :
      ( ( is_bool @ P )
     => ( ( hAPP_A1466488369i_bool @ ( hAPP_b1018211123i_bool @ cOMBK_1157044842e_indi @ P ) @ Q )
        = P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Arrow____Order____Mirabelle____fje) ).

thf(37,axiom,
    ! [X: $i,Y: $i] :
      ( ( X != Y )
      | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ fequal_nat @ X ) @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_000tc__Nat__Onat_T) ).

thf(38,axiom,
    ! [X: $i,Y: $i] :
      ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ fequal_nat @ X ) @ Y ) )
      | ( X = Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_1_1_fequal_000tc__Nat__Onat_T) ).

thf(39,axiom,
    ! [P: $i] :
      ( ( is_bool @ P )
     => ( ( P = fTrue )
        | ( P = fFalse ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fTrue_1_1_T) ).

thf(40,axiom,
    hBOOL @ fTrue,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fTrue_1_1_U) ).

thf(41,axiom,
    ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_197__096_Ib_M_Aa_J_A_126_058_ALab_096) ).

thf(42,axiom,
    ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ a @ b ) ) @ lba ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_196__096_Ia_M_Ab_J_A_126_058_ALba_096) ).

thf(43,axiom,
    hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ a @ b ) ) @ lab ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_195__096a_A_060_092_060_094bsub_062Lab_092_060_094esub_062_Ab_096) ).

thf(44,axiom,
    hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_194__096b_A_060_092_060_094bsub_062Lba_092_060_094esub_062_Aa_096) ).

thf(45,axiom,
    a != b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_193__096a_A_126_061_Ab_096) ).

thf(46,axiom,
    ! [I: $i] :
      ( ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ I ) ) @ n ) )
         => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ I ) ) @ e ) ) ) )
        & ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ I ) ) @ n ) )
         => ( ( ( ( hAPP_A588601142di_nat @ h @ I )
                = n )
             => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ I ) ) @ c ) @ e ) ) ) )
            & ( ( ( hAPP_A588601142di_nat @ h @ I )
               != n )
             => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ I ) ) @ e ) ) ) ) ) ) )
    <=> ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ I ) ) @ n ) )
         => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
        & ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ I ) ) @ n ) )
         => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_192__096ALL_Ai_O_A_Ie_A_060_092_060_094bsub_062_Iif_Ah_Ai_A_060_An_Athen_Am) ).

thf(47,axiom,
    ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
  <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBC_437064334t_bool @ ( cOMBC_481590946t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ lab ) @ lba ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_191__096_Ie_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Am) ).

thf(48,axiom,
    ! [A: $i] :
      ( ( pi_Arr688267935t_bool @ A @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ top_to2005687013l_bool ) )
      = top_to1194196741l_bool ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_190_Pi__UNIV) ).

thf(49,axiom,
    ! [A: $i] :
      ( ( pi_fun433100839t_bool @ A @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ top_to2005687013l_bool ) )
      = top_to40512653l_bool ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_189_Pi__UNIV) ).

thf(50,axiom,
    ! [A: $i] :
      ( ( pi_Pro2135156861t_bool @ A @ ( hAPP_f1724001331l_bool @ cOMBK_2008994872le_alt @ top_to1647826457l_bool ) )
      = top_to2005687013l_bool ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_188_Pi__UNIV) ).

thf(51,axiom,
    ! [Fa: $i,I_1: $i] :
      ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ Fa ) @ I_1 ) )
    <=> ! [X_1: $i] :
          ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_1 ) @ arrow_413697182e_Prof ) )
         => ( ( hAPP_f695124765t_bool @ Fa @ X_1 )
            = ( hAPP_A1374816149t_bool @ X_1 @ I_1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_187_dictator__def) ).

thf(52,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ F ) @ ( pi_Arr688267935t_bool @ A @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ B ) ) ) )
     => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ F @ X_2 ) ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_186_funcset__mem) ).

thf(53,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ F ) @ ( pi_fun433100839t_bool @ A @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ B ) ) ) )
     => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ F @ X_2 ) ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_185_funcset__mem) ).

thf(54,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ F ) @ ( pi_boo2007389459t_bool @ A @ ( hAPP_f2135750719l_bool @ cOMBK_971068024l_bool @ B ) ) ) )
     => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ F @ X_2 ) ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_184_funcset__mem) ).

thf(55,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ F ) @ ( pi_boo71521447t_bool @ A @ ( hAPP_f448497509l_bool @ cOMBK_1268833122l_bool @ B ) ) ) )
     => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ F @ X_2 ) ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_183_funcset__mem) ).

thf(56,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ F ) @ ( pi_Arr372473371t_bool @ A @ ( hAPP_f1697527281l_bool @ cOMBK_1292462166e_indi @ B ) ) ) )
     => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ F @ X_2 ) ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_182_funcset__mem) ).

thf(57,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ F ) @ ( pi_boo691944735t_bool @ A @ ( hAPP_f371807573l_bool @ cOMBK_697604314l_bool @ B ) ) ) )
     => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ F @ X_2 ) ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_181_funcset__mem) ).

thf(58,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ F ) @ ( pi_Arr1511953043t_bool @ A @ ( hAPP_f813556705l_bool @ cOMBK_116240846e_indi @ B ) ) ) )
     => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ F @ X_2 ) ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_180_funcset__mem) ).

thf(59,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ F ) @ ( pi_boo1877522301le_alt @ A @ ( hAPP_f1520552209t_bool @ cOMBK_697786936l_bool @ B ) ) ) )
     => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ F @ X_2 ) ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_179_funcset__mem) ).

thf(60,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ F ) @ ( pi_Arr149813489le_alt @ A @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ B ) ) ) )
     => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ F @ X_2 ) ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_178_funcset__mem) ).

thf(61,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ F ) @ ( pi_fun1727820731l_bool @ A @ ( hAPP_f1667233577l_bool @ cOMBK_1015076504t_bool @ B ) ) ) )
     => ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ F @ X_2 ) ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_177_funcset__mem) ).

thf(62,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ F ) @ ( pi_fun972956463e_indi @ A @ ( hAPP_f1903519657i_bool @ cOMBK_2076140708t_bool @ B ) ) ) )
     => ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ F @ X_2 ) ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_176_funcset__mem) ).

thf(63,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ F ) @ ( pi_fun525942951l_bool @ A @ ( hAPP_f1235573641l_bool @ cOMBK_1072228194t_bool @ B ) ) ) )
     => ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ F @ X_2 ) ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_175_funcset__mem) ).

thf(64,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ F ) @ ( pi_fun2075749915e_indi @ A @ ( hAPP_f1677452273i_bool @ cOMBK_1372975190t_bool @ B ) ) ) )
     => ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ F @ X_2 ) ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_174_funcset__mem) ).

thf(65,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ F ) @ ( pi_fun1494794527l_bool @ A @ ( hAPP_f219827985l_bool @ cOMBK_886533338t_bool @ B ) ) ) )
     => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ F @ X_2 ) ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_173_funcset__mem) ).

thf(66,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ F ) @ ( pi_fun1736243859e_indi @ A @ ( hAPP_f681113465i_bool @ cOMBK_454107598t_bool @ B ) ) ) )
     => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ F @ X_2 ) ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_172_funcset__mem) ).

thf(67,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ F ) @ ( pi_Pro437273841e_indi @ A @ ( hAPP_f1970593179i_bool @ cOMBK_100791596le_alt @ B ) ) ) )
     => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ F @ X_2 ) ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_171_funcset__mem) ).

thf(68,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ F ) @ ( pi_Pro2135156861t_bool @ A @ ( hAPP_f1724001331l_bool @ cOMBK_2008994872le_alt @ B ) ) ) )
     => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ F @ X_2 ) ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_170_funcset__mem) ).

thf(69,axiom,
    ( arrow_413697182e_Prof
    = ( pi_Arr688267935t_bool @ top_to1256827021i_bool @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ arrow_1239002508le_Lin ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_169_Prof__def) ).

thf(70,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ F ) @ ( pi_Arr688267935t_bool @ A @ B ) ) )
     => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ F @ X_2 ) ) @ ( hAPP_A1944296755l_bool @ B @ X_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_168_Pi__mem) ).

thf(71,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ F ) @ ( pi_fun433100839t_bool @ A @ B ) ) )
     => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ F @ X_2 ) ) @ ( hAPP_f861484971l_bool @ B @ X_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_167_Pi__mem) ).

thf(72,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ F ) @ ( pi_boo2007389459t_bool @ A @ B ) ) )
     => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ F @ X_2 ) ) @ ( hAPP_b1965422783l_bool @ B @ X_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_166_Pi__mem) ).

thf(73,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ F ) @ ( pi_boo71521447t_bool @ A @ B ) ) )
     => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ F @ X_2 ) ) @ ( hAPP_b990649139l_bool @ B @ X_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_165_Pi__mem) ).

thf(74,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ F ) @ ( pi_Arr372473371t_bool @ A @ B ) ) )
     => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ F @ X_2 ) ) @ ( hAPP_A1964572607l_bool @ B @ X_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_164_Pi__mem) ).

thf(75,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ F ) @ ( pi_boo691944735t_bool @ A @ B ) ) )
     => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ F @ X_2 ) ) @ ( hAPP_b1719629739l_bool @ B @ X_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_163_Pi__mem) ).

thf(76,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ F ) @ ( pi_Arr1511953043t_bool @ A @ B ) ) )
     => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ F @ X_2 ) ) @ ( hAPP_A1912483895l_bool @ B @ X_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_162_Pi__mem) ).

thf(77,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ F ) @ ( pi_boo1877522301le_alt @ A @ B ) ) )
     => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ F @ X_2 ) ) @ ( hAPP_b1024867081t_bool @ B @ X_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_161_Pi__mem) ).

thf(78,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ F ) @ ( pi_Arr149813489le_alt @ A @ B ) ) )
     => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ F @ X_2 ) ) @ ( hAPP_A1374816149t_bool @ B @ X_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_160_Pi__mem) ).

thf(79,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ F ) @ ( pi_fun1727820731l_bool @ A @ B ) ) )
     => ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ F @ X_2 ) ) @ ( hAPP_f417299659l_bool @ B @ X_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_159_Pi__mem) ).

thf(80,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ F ) @ ( pi_fun972956463e_indi @ A @ B ) ) )
     => ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ F @ X_2 ) ) @ ( hAPP_f352490559i_bool @ B @ X_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_158_Pi__mem) ).

thf(81,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ F ) @ ( pi_fun525942951l_bool @ A @ B ) ) )
     => ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ F @ X_2 ) ) @ ( hAPP_f497468491l_bool @ B @ X_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_157_Pi__mem) ).

thf(82,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ F ) @ ( pi_fun2075749915e_indi @ A @ B ) ) )
     => ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ F @ X_2 ) ) @ ( hAPP_f355113919i_bool @ B @ X_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_156_Pi__mem) ).

thf(83,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ F ) @ ( pi_fun1494794527l_bool @ A @ B ) ) )
     => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ F @ X_2 ) ) @ ( hAPP_f313042899l_bool @ B @ X_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_155_Pi__mem) ).

thf(84,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ F ) @ ( pi_fun1736243859e_indi @ A @ B ) ) )
     => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ F @ X_2 ) ) @ ( hAPP_f749892423i_bool @ B @ X_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_154_Pi__mem) ).

thf(85,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ F ) @ ( pi_Pro437273841e_indi @ A @ B ) ) )
     => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ F @ X_2 ) ) @ ( hAPP_P907763049i_bool @ B @ X_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_153_Pi__mem) ).

thf(86,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ F ) @ ( pi_Pro2135156861t_bool @ A @ B ) ) )
     => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ A ) )
       => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ F @ X_2 ) ) @ ( hAPP_P2127852789l_bool @ B @ X_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_152_Pi__mem) ).

thf(87,axiom,
    ! [Na: $i] : ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( cOMBC_437064334t_bool @ ( cOMBC_481590946t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ Na ) ) @ lab ) @ lba ) ) @ arrow_413697182e_Prof ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_151_PiProf) ).

thf(88,axiom,
    ! [Aa: $i,Ba: $i] :
      ( ( ( is_Arr553848933le_alt @ Aa )
        & ( is_Arr553848933le_alt @ Ba ) )
     => ( ( Aa != Ba )
       => ? [X_1: $i] :
            ( ( is_fun282293932t_bool @ X_1 )
            & ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_1 ) @ arrow_1239002508le_Lin ) )
            & ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ X_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_150_complete__Lin) ).

thf(89,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ F ) @ ( pi_Arr688267935t_bool @ A @ B ) ) )
     => ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ F @ X_2 ) ) @ ( hAPP_A1944296755l_bool @ B @ X_2 ) ) )
       => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_149_PiE) ).

thf(90,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ F ) @ ( pi_fun433100839t_bool @ A @ B ) ) )
     => ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ F @ X_2 ) ) @ ( hAPP_f861484971l_bool @ B @ X_2 ) ) )
       => ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_148_PiE) ).

thf(91,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ F ) @ ( pi_fun1727820731l_bool @ A @ B ) ) )
     => ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ F @ X_2 ) ) @ ( hAPP_f417299659l_bool @ B @ X_2 ) ) )
       => ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_147_PiE) ).

thf(92,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ F ) @ ( pi_fun972956463e_indi @ A @ B ) ) )
     => ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ F @ X_2 ) ) @ ( hAPP_f352490559i_bool @ B @ X_2 ) ) )
       => ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_146_PiE) ).

thf(93,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ F ) @ ( pi_fun525942951l_bool @ A @ B ) ) )
     => ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ F @ X_2 ) ) @ ( hAPP_f497468491l_bool @ B @ X_2 ) ) )
       => ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_145_PiE) ).

thf(94,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ F ) @ ( pi_fun2075749915e_indi @ A @ B ) ) )
     => ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ F @ X_2 ) ) @ ( hAPP_f355113919i_bool @ B @ X_2 ) ) )
       => ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_144_PiE) ).

thf(95,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ F ) @ ( pi_fun1494794527l_bool @ A @ B ) ) )
     => ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ F @ X_2 ) ) @ ( hAPP_f313042899l_bool @ B @ X_2 ) ) )
       => ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_143_PiE) ).

thf(96,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ F ) @ ( pi_fun1736243859e_indi @ A @ B ) ) )
     => ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ F @ X_2 ) ) @ ( hAPP_f749892423i_bool @ B @ X_2 ) ) )
       => ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_142_PiE) ).

thf(97,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ F ) @ ( pi_Pro437273841e_indi @ A @ B ) ) )
     => ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ F @ X_2 ) ) @ ( hAPP_P907763049i_bool @ B @ X_2 ) ) )
       => ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_141_PiE) ).

thf(98,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ F ) @ ( pi_boo2007389459t_bool @ A @ B ) ) )
     => ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ F @ X_2 ) ) @ ( hAPP_b1965422783l_bool @ B @ X_2 ) ) )
       => ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_140_PiE) ).

thf(99,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ F ) @ ( pi_boo71521447t_bool @ A @ B ) ) )
     => ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ F @ X_2 ) ) @ ( hAPP_b990649139l_bool @ B @ X_2 ) ) )
       => ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_139_PiE) ).

thf(100,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ F ) @ ( pi_Arr372473371t_bool @ A @ B ) ) )
     => ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ F @ X_2 ) ) @ ( hAPP_A1964572607l_bool @ B @ X_2 ) ) )
       => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_138_PiE) ).

thf(101,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ F ) @ ( pi_boo691944735t_bool @ A @ B ) ) )
     => ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ F @ X_2 ) ) @ ( hAPP_b1719629739l_bool @ B @ X_2 ) ) )
       => ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_137_PiE) ).

thf(102,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ F ) @ ( pi_Arr1511953043t_bool @ A @ B ) ) )
     => ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ F @ X_2 ) ) @ ( hAPP_A1912483895l_bool @ B @ X_2 ) ) )
       => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_136_PiE) ).

thf(103,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ F ) @ ( pi_boo1877522301le_alt @ A @ B ) ) )
     => ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ F @ X_2 ) ) @ ( hAPP_b1024867081t_bool @ B @ X_2 ) ) )
       => ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_135_PiE) ).

thf(104,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ F ) @ ( pi_Arr149813489le_alt @ A @ B ) ) )
     => ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ F @ X_2 ) ) @ ( hAPP_A1374816149t_bool @ B @ X_2 ) ) )
       => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_134_PiE) ).

thf(105,axiom,
    ! [X_2: $i,F: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ F ) @ ( pi_Pro2135156861t_bool @ A @ B ) ) )
     => ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ F @ X_2 ) ) @ ( hAPP_P2127852789l_bool @ B @ X_2 ) ) )
       => ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_133_PiE) ).

thf(106,axiom,
    ! [I_1: $i,Fa: $i] :
      ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ Fa ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
     => ( ! [X_1: $i] :
            ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_1 ) @ arrow_413697182e_Prof ) )
           => ! [A_1: $i,B_1: $i] :
                ( ( ( is_Arr553848933le_alt @ A_1 )
                  & ( is_Arr553848933le_alt @ B_1 ) )
               => ( ( A_1 != B_1 )
                 => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_A1374816149t_bool @ X_1 @ I_1 ) ) )
                   => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_f695124765t_bool @ Fa @ X_1 ) ) ) ) ) ) )
       => ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ Fa ) @ I_1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_132_dictatorI) ).

thf(107,axiom,
    ! [X_2: $i,Y_1: $i,L: $i,Aa: $i,Ba: $i] :
      ( ( ( is_Arr553848933le_alt @ X_2 )
        & ( is_Arr553848933le_alt @ Y_1 )
        & ( is_Arr553848933le_alt @ Aa )
        & ( is_Arr553848933le_alt @ Ba ) )
     => ( ( Aa != Ba )
       => ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ L ) @ arrow_1239002508le_Lin ) )
         => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Y_1 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ L ) @ Aa ) @ Ba ) ) )
          <=> ( ( X_2 != Y_1 )
              & ( ( X_2 = Ba )
               => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Y_1 ) ) @ L ) ) )
              & ( ( X_2 != Ba )
               => ( ( ( Y_1 = Ba )
                   => ( ( X_2 = Aa )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Aa ) ) @ L ) ) ) )
                  & ( ( Y_1 != Ba )
                   => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Y_1 ) ) @ L ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_131_in__above) ).

thf(108,axiom,
    ! [L: $i] :
      ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ L ) @ arrow_1239002508le_Lin ) )
     => ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ L ) ) @ arrow_413697182e_Prof ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_130_const__Lin__Prof) ).

thf(109,axiom,
    ! [L: $i,X_2: $i,Y_1: $i] :
      ( ( ( is_Arr553848933le_alt @ X_2 )
        & ( is_Arr553848933le_alt @ Y_1 ) )
     => ( ( X_2 != Y_1 )
       => ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ L ) @ arrow_1239002508le_Lin ) )
         => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ L ) @ X_2 ) @ Y_1 ) ) @ arrow_1239002508le_Lin ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_129_above__Lin) ).

thf(110,axiom,
    ! [X_2: $i,L: $i] :
      ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ L ) @ arrow_1239002508le_Lin ) )
     => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ L ) @ X_2 ) ) @ arrow_1239002508le_Lin ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_128_mkbot__Lin) ).

thf(111,axiom,
    ! [X_2: $i,L: $i] :
      ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ L ) @ arrow_1239002508le_Lin ) )
     => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ L ) @ X_2 ) ) @ arrow_1239002508le_Lin ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_127_mktop__Lin) ).

thf(112,axiom,
    ! [Pa: $i] :
      ( ( is_fun917378774i_bool @ Pa )
     => ( ( collec45183100e_indi @ Pa )
        = Pa ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_126_Collect__def) ).

thf(113,axiom,
    ! [X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ A ) )
    <=> ( hBOOL @ ( hAPP_f745298353l_bool @ A @ X_2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_125_mem__def) ).

thf(114,axiom,
    ! [X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ A ) )
    <=> ( hBOOL @ ( hAPP_f785543729l_bool @ A @ X_2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_124_mem__def) ).

thf(115,axiom,
    ! [X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) )
    <=> ( hBOOL @ ( hAPP_f1636546729l_bool @ A @ X_2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_123_mem__def) ).

thf(116,axiom,
    ! [X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ A ) )
    <=> ( hBOOL @ ( hAPP_P2075002375t_bool @ A @ X_2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_122_mem__def) ).

thf(117,axiom,
    ! [X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
    <=> ( hBOOL @ ( hAPP_bool_bool @ A @ X_2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_121_mem__def) ).

thf(118,axiom,
    ! [X_2: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
    <=> ( hBOOL @ ( hAPP_A1466488369i_bool @ A @ X_2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_120_mem__def) ).

thf(119,axiom,
    ! [X_2: $i,Y_1: $i,L: $i] :
      ( ( ( is_Arr553848933le_alt @ X_2 )
        & ( is_Arr553848933le_alt @ Y_1 ) )
     => ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ L ) @ arrow_1239002508le_Lin ) )
       => ( ( X_2 != Y_1 )
         => ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Y_1 ) ) @ L ) )
          <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Y_1 @ X_2 ) ) @ L ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_119_notin__Lin__iff) ).

thf(120,axiom,
    ! [Aa: $i,Ba: $i,L: $i] :
      ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ L ) @ arrow_1239002508le_Lin ) )
     => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ L ) )
       => ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Ba @ Aa ) ) @ L ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_118_Lin__irrefl) ).

thf(121,axiom,
    hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ lab ) @ arrow_1239002508le_Lin ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_117__096Lab_A_058_ALin_096) ).

thf(122,axiom,
    hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ lba ) @ arrow_1239002508le_Lin ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_116__096Lba_A_058_ALin_096) ).

thf(123,axiom,
    hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ f ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_115_assms_I1_J) ).

thf(124,axiom,
    ! [F: $i] :
      ( ! [X_1: $i,Y_2: $i] :
          ( ( ( is_Arr625519182e_indi @ X_1 )
            & ( is_Arr625519182e_indi @ Y_2 ) )
         => ( ( ( hAPP_A588601142di_nat @ F @ X_1 )
              = ( hAPP_A588601142di_nat @ F @ Y_2 ) )
           => ( X_1 = Y_2 ) ) )
     => ( hBOOL @ ( inj_on24934938di_nat @ F @ top_to1256827021i_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_114_injI) ).

thf(125,axiom,
    ! [G: $i,F: $i] :
      ( ( is_fun1016509681e_indi @ G )
     => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ top_to1256827021i_bool ) )
       => ( ! [X_1: $i] :
              ( ( hAPP_A588601142di_nat @ F @ ( hAPP_n385347014e_indi @ G @ X_1 ) )
              = X_1 )
         => ( ( hilber1792103167di_nat @ top_to1256827021i_bool @ F )
            = G ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_113_inj__imp__inv__eq) ).

thf(126,axiom,
    ! [X_2: $i,Y_1: $i,F: $i] :
      ( ( ( is_Arr625519182e_indi @ X_2 )
        & ( is_Arr625519182e_indi @ Y_1 ) )
     => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ top_to1256827021i_bool ) )
       => ( ( ( hAPP_A588601142di_nat @ F @ X_2 )
            = ( hAPP_A588601142di_nat @ F @ Y_1 ) )
         => ( X_2 = Y_1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_112_injD) ).

thf(127,axiom,
    ! [X_2: $i,Y_1: $i,F: $i,A: $i] :
      ( ( ( is_Arr625519182e_indi @ X_2 )
        & ( is_Arr625519182e_indi @ Y_1 ) )
     => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ A ) )
       => ( ( ( hAPP_A588601142di_nat @ F @ X_2 )
            = ( hAPP_A588601142di_nat @ F @ Y_1 ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
           => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ Y_1 ) @ A ) )
             => ( X_2 = Y_1 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_111_inj__onD) ).

thf(128,axiom,
    ! [Y_1: $i,X_2: $i,F: $i,A: $i] :
      ( ( ( is_Arr625519182e_indi @ Y_1 )
        & ( is_Arr625519182e_indi @ X_2 ) )
     => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ A ) )
       => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ Y_1 ) @ A ) )
           => ( ( ( hAPP_A588601142di_nat @ F @ X_2 )
                = ( hAPP_A588601142di_nat @ F @ Y_1 ) )
            <=> ( X_2 = Y_1 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_110_inj__on__iff) ).

thf(129,axiom,
    ! [X_2: $i,Y_1: $i,F: $i,A: $i] :
      ( ( ( is_Arr625519182e_indi @ X_2 )
        & ( is_Arr625519182e_indi @ Y_1 ) )
     => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ A ) )
       => ( ( X_2 != Y_1 )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
           => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ Y_1 ) @ A ) )
             => ( ( hAPP_A588601142di_nat @ F @ X_2 )
               != ( hAPP_A588601142di_nat @ F @ Y_1 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_109_inj__on__contraD) ).

thf(130,axiom,
    ! [F: $i,A: $i] :
      ( ( hBOOL @ ( inj_on24934938di_nat @ F @ A ) )
    <=> ! [X_1: $i] :
          ( ( is_Arr625519182e_indi @ X_1 )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_1 ) @ A ) )
           => ! [Xa: $i] :
                ( ( is_Arr625519182e_indi @ Xa )
               => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ Xa ) @ A ) )
                 => ( ( ( hAPP_A588601142di_nat @ F @ X_1 )
                      = ( hAPP_A588601142di_nat @ F @ Xa ) )
                   => ( X_1 = Xa ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_108_inj__on__def) ).

thf(131,axiom,
    ! [X_2: $i,Y_1: $i,F: $i] :
      ( ( ( is_Arr625519182e_indi @ X_2 )
        & ( is_Arr625519182e_indi @ Y_1 ) )
     => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ top_to1256827021i_bool ) )
       => ( ( ( hAPP_A588601142di_nat @ F @ X_2 )
            = ( hAPP_A588601142di_nat @ F @ Y_1 ) )
        <=> ( X_2 = Y_1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_107_inj__eq) ).

thf(132,axiom,
    ! [Y_1: $i,X_2: $i,F: $i,A: $i] :
      ( ( is_Arr625519182e_indi @ X_2 )
     => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ A ) )
       => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
         => ( ( ( hAPP_A588601142di_nat @ F @ X_2 )
              = Y_1 )
           => ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ A @ F ) @ Y_1 )
              = X_2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_106_inv__into__f__eq) ).

thf(133,axiom,
    ! [X_2: $i,F: $i,A: $i] :
      ( ( is_Arr625519182e_indi @ X_2 )
     => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ A ) )
       => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
         => ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ A @ F ) @ ( hAPP_A588601142di_nat @ F @ X_2 ) )
            = X_2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_105_inv__into__f__f) ).

thf(134,axiom,
    ! [X_2: $i,F: $i] :
      ( ( is_Arr625519182e_indi @ X_2 )
     => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ top_to1256827021i_bool ) )
       => ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ F ) @ ( hAPP_A588601142di_nat @ F @ X_2 ) )
          = X_2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_104_inv__f__f) ).

thf(135,axiom,
    ! [X_2: $i,Y_1: $i,F: $i] :
      ( ( is_Arr625519182e_indi @ X_2 )
     => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ top_to1256827021i_bool ) )
       => ( ( ( hAPP_A588601142di_nat @ F @ X_2 )
            = Y_1 )
         => ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ F ) @ Y_1 )
            = X_2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103_inv__f__eq) ).

thf(136,axiom,
    ! [Aa: $i] :
      ( ( is_fun917378774i_bool @ Aa )
     => ( ( Aa != top_to1256827021i_bool )
      <=> ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Aa ) @ top_to1256827021i_bool ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_102_less__top) ).

thf(137,axiom,
    ! [Aa: $i] :
      ( ( is_fun282293932t_bool @ Aa )
     => ( ( Aa != top_to2034604131t_bool )
      <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ Aa ) @ top_to2034604131t_bool ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_101_less__top) ).

thf(138,axiom,
    ! [Aa: $i] :
      ( ~ ( ( hBOOL @ Aa )
        <=> ( hBOOL @ top_top_bool ) )
    <=> ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ Aa ) @ top_top_bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_100_less__top) ).

thf(139,axiom,
    ! [Aa: $i] :
      ( ( is_fun631676118l_bool @ Aa )
     => ( ( Aa != top_to40512653l_bool )
      <=> ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ Aa ) @ top_to40512653l_bool ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_99_less__top) ).

thf(140,axiom,
    ! [Aa: $i] :
      ( ( is_fun959573582l_bool @ Aa )
     => ( ( Aa != top_to1194196741l_bool )
      <=> ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ Aa ) @ top_to1194196741l_bool ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_98_less__top) ).

thf(141,axiom,
    ! [Aa: $i] :
      ( ( is_fun432044380l_bool @ Aa )
     => ( ( Aa != top_to2005687013l_bool )
      <=> ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ Aa ) @ top_to2005687013l_bool ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_97_less__top) ).

thf(142,axiom,
    ! [S: $i,R_1: $i] :
      ( ( ( is_fun282293932t_bool @ S )
        & ( is_fun282293932t_bool @ R_1 ) )
     => ( ! [X_1: $i,Xa: $i] :
            ( ( ( is_Arr553848933le_alt @ X_1 )
              & ( is_Arr553848933le_alt @ Xa ) )
           => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_1 @ Xa ) ) @ R_1 ) )
            <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_1 @ Xa ) ) @ S ) ) ) )
      <=> ( R_1 = S ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_96_pred__equals__eq2) ).

thf(143,axiom,
    ( top_to1256827021i_bool
    = ( collec45183100e_indi @ ( hAPP_b1018211123i_bool @ cOMBK_1157044842e_indi @ fTrue ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_95_UNIV__def) ).

thf(144,axiom,
    ( top_to2034604131t_bool
    = ( collec1711870802le_alt @ ( hAPP_b1024867081t_bool @ cOMBK_2069093696le_alt @ fTrue ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_UNIV__def) ).

thf(145,axiom,
    ( top_to40512653l_bool
    = ( collec1520786044t_bool @ ( hAPP_b990649139l_bool @ cOMBK_580911210t_bool @ fTrue ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_UNIV__def) ).

thf(146,axiom,
    ( top_to1194196741l_bool
    = ( collec1580242420t_bool @ ( hAPP_b1719629739l_bool @ cOMBK_789167586t_bool @ fTrue ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_UNIV__def) ).

thf(147,axiom,
    ( top_to2005687013l_bool
    = ( collec874260222t_bool @ ( hAPP_b1965422783l_bool @ cOMBK_977355664t_bool @ fTrue ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_UNIV__def) ).

thf(148,axiom,
    ! [X_3: $i] :
      ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_3 ) @ X_3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_order__less__irrefl) ).

thf(149,axiom,
    ! [X_2: $i] :
      ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ X_2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_order__less__irrefl) ).

thf(150,axiom,
    ! [X_2: $i,Y_1: $i] :
      ( ( X_2 != Y_1 )
    <=> ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_2 ) @ Y_1 ) )
        | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_1 ) @ X_2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_linorder__neq__iff) ).

thf(151,axiom,
    ! [X_2: $i,Y_1: $i] :
      ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_2 ) @ Y_1 ) )
    <=> ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_1 ) @ X_2 ) )
        | ( X_2 = Y_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_not__less__iff__gr__or__eq) ).

thf(152,axiom,
    ! [X_4: $i,Y_3: $i] :
      ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_4 ) @ Y_3 ) )
      | ( X_4 = Y_3 )
      | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_3 ) @ X_4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_linorder__less__linear) ).

thf(153,axiom,
    ! [Y_1: $i,X_2: $i] :
      ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_1 ) @ X_2 ) )
     => ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_2 ) @ Y_1 ) )
      <=> ( X_2 = Y_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_linorder__antisym__conv3) ).

thf(154,axiom,
    ! [X_5: $i,Y_4: $i] :
      ( ( X_5 != Y_4 )
     => ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_5 ) @ Y_4 ) )
       => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_4 ) @ X_5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_84_linorder__neqE) ).

thf(155,axiom,
    ! [X_6: $i,Y_5: $i] :
      ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_6 ) @ Y_5 ) )
     => ( X_6 != Y_5 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_83_less__imp__neq) ).

thf(156,axiom,
    ! [X_2: $i,Y_1: $i] :
      ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
     => ( X_2 != Y_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_less__imp__neq) ).

thf(157,axiom,
    ! [X_7: $i,Y_6: $i] :
      ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_7 ) @ Y_6 ) )
     => ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_6 ) @ X_7 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_order__less__not__sym) ).

thf(158,axiom,
    ! [X_2: $i,Y_1: $i] :
      ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
     => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Y_1 ) @ X_2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_order__less__not__sym) ).

thf(159,axiom,
    ! [X_8: $i,Y_7: $i] :
      ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_8 ) @ Y_7 ) )
     => ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_7 ) @ X_8 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_79_order__less__imp__not__less) ).

thf(160,axiom,
    ! [X_2: $i,Y_1: $i] :
      ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
     => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Y_1 ) @ X_2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_order__less__imp__not__less) ).

thf(161,axiom,
    ! [X_9: $i,Y_8: $i] :
      ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_9 ) @ Y_8 ) )
     => ( X_9 != Y_8 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_order__less__imp__not__eq) ).

thf(162,axiom,
    ! [X_2: $i,Y_1: $i] :
      ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
     => ( X_2 != Y_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_order__less__imp__not__eq) ).

thf(163,axiom,
    ! [X_10: $i,Y_9: $i] :
      ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_10 ) @ Y_9 ) )
     => ( Y_9 != X_10 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_order__less__imp__not__eq2) ).

thf(164,axiom,
    ! [X_2: $i,Y_1: $i] :
      ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
     => ( Y_1 != X_2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_order__less__imp__not__eq2) ).

thf(165,axiom,
    ! [Pa: $i,X_2: $i,Y_1: $i] :
      ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_2 ) @ Y_1 ) )
     => ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_1 ) @ X_2 ) )
       => ( hBOOL @ Pa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_order__less__imp__triv) ).

thf(166,axiom,
    ! [Pa: $i,X_2: $i,Y_1: $i] :
      ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
     => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Y_1 ) @ X_2 ) )
       => ( hBOOL @ Pa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_order__less__imp__triv) ).

thf(167,axiom,
    ! [A_2: $i,B_2: $i] :
      ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ A_2 ) @ B_2 ) )
     => ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ B_2 ) @ A_2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_71_order__less__asym_H) ).

thf(168,axiom,
    ! [Aa: $i,Ba: $i] :
      ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Aa ) @ Ba ) )
     => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Ba ) @ Aa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_order__less__asym_H) ).

thf(169,axiom,
    ! [B_3: $i,A_3: $i] :
      ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ B_3 ) @ A_3 ) )
     => ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ A_3 ) @ B_3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_69_xt1_I9_J) ).

thf(170,axiom,
    ! [Ba: $i,Aa: $i] :
      ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Ba ) @ Aa ) )
     => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Aa ) @ Ba ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_68_xt1_I9_J) ).

thf(171,axiom,
    ! [C: $i,A_4: $i,B_4: $i] :
      ( ( A_4 = B_4 )
     => ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ B_4 ) @ C ) )
       => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ A_4 ) @ C ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_ord__eq__less__trans) ).

thf(172,axiom,
    ! [Ca: $i,Aa: $i,Ba: $i] :
      ( ( Aa = Ba )
     => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Ba ) @ Ca ) )
       => ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Aa ) @ Ca ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_ord__eq__less__trans) ).

thf(173,axiom,
    ! [C_1: $i,A_5: $i,B_5: $i] :
      ( ( A_5 = B_5 )
     => ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ C_1 ) @ B_5 ) )
       => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ C_1 ) @ A_5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_65_xt1_I1_J) ).

thf(174,axiom,
    ! [Ca: $i,Aa: $i,Ba: $i] :
      ( ( Aa = Ba )
     => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Ca ) @ Ba ) )
       => ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Ca ) @ Aa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_64_xt1_I1_J) ).

thf(175,axiom,
    ! [C_2: $i,A_6: $i,B_6: $i] :
      ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ A_6 ) @ B_6 ) )
     => ( ( B_6 = C_2 )
       => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ A_6 ) @ C_2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_ord__less__eq__trans) ).

thf(176,axiom,
    ! [Ca: $i,Aa: $i,Ba: $i] :
      ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Aa ) @ Ba ) )
     => ( ( Ba = Ca )
       => ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Aa ) @ Ca ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_ord__less__eq__trans) ).

thf(177,axiom,
    ! [C_3: $i,B_7: $i,A_7: $i] :
      ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ B_7 ) @ A_7 ) )
     => ( ( B_7 = C_3 )
       => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ C_3 ) @ A_7 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_xt1_I2_J) ).

thf(178,axiom,
    ! [Ca: $i,Ba: $i,Aa: $i] :
      ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Ba ) @ Aa ) )
     => ( ( Ba = Ca )
       => ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Ca ) @ Aa ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_xt1_I2_J) ).

thf(179,axiom,
    ! [Z: $i,X_11: $i,Y_10: $i] :
      ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_11 ) @ Y_10 ) )
     => ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_10 ) @ Z ) )
       => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_11 ) @ Z ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_59_order__less__trans) ).

thf(180,axiom,
    ! [Z_1: $i,X_2: $i,Y_1: $i] :
      ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
     => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Y_1 ) @ Z_1 ) )
       => ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Z_1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_58_order__less__trans) ).

thf(181,axiom,
    ! [Z_2: $i,Y_11: $i,X_12: $i] :
      ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_11 ) @ X_12 ) )
     => ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Z_2 ) @ Y_11 ) )
       => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Z_2 ) @ X_12 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_57_xt1_I10_J) ).

thf(182,axiom,
    ! [Z_1: $i,Y_1: $i,X_2: $i] :
      ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Y_1 ) @ X_2 ) )
     => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Z_1 ) @ Y_1 ) )
       => ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Z_1 ) @ X_2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_56_xt1_I10_J) ).

thf(183,axiom,
    ! [X_13: $i,Y_12: $i] :
      ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_13 ) @ Y_12 ) )
     => ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_12 ) @ X_13 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_order__less__asym) ).

thf(184,axiom,
    ! [X_2: $i,Y_1: $i] :
      ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
     => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Y_1 ) @ X_2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_order__less__asym) ).

thf(185,axiom,
    ! [X_14: $i,Y_13: $i] :
      ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_14 ) @ Y_13 ) )
     => ( ( X_14 != Y_13 )
       => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_13 ) @ X_14 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_linorder__cases) ).

thf(186,axiom,
    ! [Aa: $i] :
      ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ top_to1256827021i_bool ) @ Aa ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_52_not__top__less) ).

thf(187,axiom,
    ! [Aa: $i] :
      ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ top_to2034604131t_bool ) @ Aa ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_51_not__top__less) ).

thf(188,axiom,
    ! [Aa: $i] :
      ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ top_top_bool ) @ Aa ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_not__top__less) ).

thf(189,axiom,
    ! [Aa: $i] :
      ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ top_to40512653l_bool ) @ Aa ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_not__top__less) ).

thf(190,axiom,
    ! [Aa: $i] :
      ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ top_to1194196741l_bool ) @ Aa ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_not__top__less) ).

thf(191,axiom,
    ! [Aa: $i] :
      ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ top_to2005687013l_bool ) @ Aa ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_47_not__top__less) ).

thf(192,axiom,
    ! [X_2: $i] :
      ( ( hBOOL @ ( hAPP_A1466488369i_bool @ top_to1256827021i_bool @ X_2 ) )
    <=> ( hBOOL @ top_top_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_top__apply) ).

thf(193,axiom,
    ! [X_2: $i] :
      ( ( hBOOL @ ( hAPP_P2075002375t_bool @ top_to2034604131t_bool @ X_2 ) )
    <=> ( hBOOL @ top_top_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_top__apply) ).

thf(194,axiom,
    ! [X_2: $i] :
      ( ( hBOOL @ ( hAPP_f785543729l_bool @ top_to40512653l_bool @ X_2 ) )
    <=> ( hBOOL @ top_top_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_top__apply) ).

thf(195,axiom,
    ! [X_2: $i] :
      ( ( hBOOL @ ( hAPP_f1636546729l_bool @ top_to1194196741l_bool @ X_2 ) )
    <=> ( hBOOL @ top_top_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_top__apply) ).

thf(196,axiom,
    ! [X_2: $i] :
      ( ( hBOOL @ ( hAPP_f745298353l_bool @ top_to2005687013l_bool @ X_2 ) )
    <=> ( hBOOL @ top_top_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_top__apply) ).

thf(197,axiom,
    ! [X_2: $i] : ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ top_to2005687013l_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_iso__tuple__UNIV__I) ).

thf(198,axiom,
    ! [X_2: $i] : ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ top_to40512653l_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_iso__tuple__UNIV__I) ).

thf(199,axiom,
    ! [X_2: $i] : ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ top_to1194196741l_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_iso__tuple__UNIV__I) ).

thf(200,axiom,
    ! [X_2: $i] : ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ top_to2034604131t_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_iso__tuple__UNIV__I) ).

thf(201,axiom,
    ! [X_2: $i] : ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ top_to1256827021i_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_iso__tuple__UNIV__I) ).

thf(202,axiom,
    ! [X_2: $i] : ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ top_to1647826457l_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_iso__tuple__UNIV__I) ).

thf(203,axiom,
    ! [X_2: $i] : ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ top_to2005687013l_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_UNIV__I) ).

thf(204,axiom,
    ! [X_2: $i] : ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ top_to40512653l_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_UNIV__I) ).

thf(205,axiom,
    ! [X_2: $i] : ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ top_to1194196741l_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_UNIV__I) ).

thf(206,axiom,
    ! [X_2: $i] : ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ top_to2034604131t_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_UNIV__I) ).

thf(207,axiom,
    ! [X_2: $i] : ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ top_to1256827021i_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_UNIV__I) ).

thf(208,axiom,
    ! [X_2: $i] : ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ top_to1647826457l_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_UNIV__I) ).

thf(209,axiom,
    ! [X_2: $i] : ( hBOOL @ ( hAPP_A1466488369i_bool @ top_to1256827021i_bool @ X_2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_top1I) ).

thf(210,axiom,
    ! [X_2: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ top_to2034604131t_bool @ X_2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_top1I) ).

thf(211,axiom,
    ! [X_2: $i] : ( hBOOL @ ( hAPP_f785543729l_bool @ top_to40512653l_bool @ X_2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_top1I) ).

thf(212,axiom,
    ! [X_2: $i] : ( hBOOL @ ( hAPP_f1636546729l_bool @ top_to1194196741l_bool @ X_2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_top1I) ).

thf(213,axiom,
    ! [X_2: $i] : ( hBOOL @ ( hAPP_f745298353l_bool @ top_to2005687013l_bool @ X_2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_top1I) ).

thf(214,axiom,
    ! [Fa: $i] :
      ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ Fa ) )
    <=> ! [X_1: $i] :
          ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_1 ) @ arrow_413697182e_Prof ) )
         => ! [A_1: $i,B_1: $i] :
              ( ( ( is_Arr553848933le_alt @ A_1 )
                & ( is_Arr553848933le_alt @ B_1 ) )
             => ( ! [I: $i] :
                    ( ( is_Arr625519182e_indi @ I )
                   => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_A1374816149t_bool @ X_1 @ I ) ) ) )
               => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_f695124765t_bool @ Fa @ X_1 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_unanimity__def) ).

thf(215,axiom,
    ! [Fa: $i] :
      ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ Fa ) )
    <=> ! [X_1: $i] :
          ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_1 ) @ arrow_413697182e_Prof ) )
         => ! [Xa: $i] :
              ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ Xa ) @ arrow_413697182e_Prof ) )
             => ! [A_1: $i,B_1: $i] :
                  ( ( ( is_Arr553848933le_alt @ A_1 )
                    & ( is_Arr553848933le_alt @ B_1 ) )
                 => ( ! [I: $i] :
                        ( ( is_Arr625519182e_indi @ I )
                       => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_A1374816149t_bool @ X_1 @ I ) ) )
                        <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_A1374816149t_bool @ Xa @ I ) ) ) ) )
                   => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_f695124765t_bool @ Fa @ X_1 ) ) )
                    <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_f695124765t_bool @ Fa @ Xa ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_IIA__def) ).

thf(216,axiom,
    ! [Aa: $i,Ba: $i,A_8: $i,B_8: $i] :
      ( ( ( is_Arr553848933le_alt @ Aa )
        & ( is_Arr553848933le_alt @ Ba )
        & ( is_Arr553848933le_alt @ A_8 )
        & ( is_Arr553848933le_alt @ B_8 ) )
     => ( ( ( produc171383831le_alt @ Aa @ Ba )
          = ( produc171383831le_alt @ A_8 @ B_8 ) )
      <=> ( ( Aa = A_8 )
          & ( Ba = B_8 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_Pair__eq) ).

thf(217,axiom,
    ! [A_10: $i,B_10: $i,A_9: $i,B_9: $i] :
      ( ( ( is_Arr553848933le_alt @ A_10 )
        & ( is_Arr553848933le_alt @ B_10 )
        & ( is_Arr553848933le_alt @ A_9 )
        & ( is_Arr553848933le_alt @ B_9 ) )
     => ( ( ( produc171383831le_alt @ A_10 @ B_10 )
          = ( produc171383831le_alt @ A_9 @ B_9 ) )
       => ~ ( ( A_10 = A_9 )
           => ( B_10 != B_9 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_Pair__inject) ).

thf(218,axiom,
    hBOOL @ ( inj_on24934938di_nat @ h @ top_to1256827021i_bool ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_injh) ).

thf(219,axiom,
    hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ n ) @ ( finite120254591e_indi @ top_to1256827021i_bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_n_I1_J) ).

thf(220,axiom,
    hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18__096e_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).

thf(221,axiom,
    hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ e ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).

thf(222,axiom,
    hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) @ arrow_413697182e_Prof ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16__096_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amktop_A_IP_Ai_J_Ae_Aelse_Aif_Ah_Ai) ).

thf(223,axiom,
    ! [Pa: $i] :
      ( ! [X1: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ Pa @ X1 ) )
    <=> ! [A_1: $i,B_1: $i] :
          ( ( ( is_Arr553848933le_alt @ A_1 )
            & ( is_Arr553848933le_alt @ B_1 ) )
         => ( hBOOL @ ( hAPP_P2075002375t_bool @ Pa @ ( produc171383831le_alt @ A_1 @ B_1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_split__paired__All) ).

thf(224,axiom,
    ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ p ) ) )
  <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_PW) ).

thf(225,axiom,
    hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).

thf(226,axiom,
    hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ h ) @ n ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12__096c_A_060_092_060_094bsub_062P_A_Iinv_Ah_An_J_092_060_094esub_062_Ad_0) ).

thf(227,axiom,
    ! [I: $i] :
      ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ I ) ) )
    <=> ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ I ) ) @ n ) )
         => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ I ) ) @ e ) ) ) )
        & ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ I ) ) @ n ) )
         => ( ( ( ( hAPP_A588601142di_nat @ h @ I )
                = n )
             => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ I ) ) @ c ) @ e ) ) ) )
            & ( ( ( hAPP_A588601142di_nat @ h @ I )
               != n )
             => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ I ) ) @ e ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11__096ALL_Ai_O_A_Ic_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ad_J) ).

thf(228,axiom,
    ! [P_1: $i,Pa: $i,Aa: $i,Ba: $i] :
      ( ( ( is_Arr553848933le_alt @ Aa )
        & ( is_Arr553848933le_alt @ Ba ) )
     => ( ( Aa != Ba )
       => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ Pa ) @ arrow_413697182e_Prof ) )
         => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ P_1 ) @ arrow_413697182e_Prof ) )
           => ( ! [I: $i] :
                  ( ( is_Arr625519182e_indi @ I )
                 => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_A1374816149t_bool @ Pa @ I ) ) )
                  <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Ba @ Aa ) ) @ ( hAPP_A1374816149t_bool @ P_1 @ I ) ) ) ) )
             => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_f695124765t_bool @ f @ Pa ) ) )
              <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Ba @ Aa ) ) @ ( hAPP_f695124765t_bool @ f @ P_1 ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10__C3_C) ).

thf(229,axiom,
    ! [P_1: $i,Pa: $i,A_8: $i,B_8: $i,Aa: $i,Ba: $i] :
      ( ( ( is_Arr553848933le_alt @ A_8 )
        & ( is_Arr553848933le_alt @ B_8 )
        & ( is_Arr553848933le_alt @ Aa )
        & ( is_Arr553848933le_alt @ Ba ) )
     => ( ( Aa != Ba )
       => ( ( A_8 != B_8 )
         => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ Pa ) @ arrow_413697182e_Prof ) )
           => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ P_1 ) @ arrow_413697182e_Prof ) )
             => ( ! [I: $i] :
                    ( ( is_Arr625519182e_indi @ I )
                   => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_A1374816149t_bool @ Pa @ I ) ) )
                    <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_8 @ B_8 ) ) @ ( hAPP_A1374816149t_bool @ P_1 @ I ) ) ) ) )
               => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_f695124765t_bool @ f @ Pa ) ) )
                <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_8 @ B_8 ) ) @ ( hAPP_f695124765t_bool @ f @ P_1 ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_pairwise__neutrality) ).

thf(230,axiom,
    ! [P_1: $i,Pa: $i,Ca: $i,Aa: $i,Ba: $i] :
      ( ( ( is_Arr553848933le_alt @ Ca )
        & ( is_Arr553848933le_alt @ Aa )
        & ( is_Arr553848933le_alt @ Ba ) )
     => ( ( Aa != Ba )
       => ( ( Ba != Ca )
         => ( ( Aa != Ca )
           => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ Pa ) @ arrow_413697182e_Prof ) )
             => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ P_1 ) @ arrow_413697182e_Prof ) )
               => ( ! [I: $i] :
                      ( ( is_Arr625519182e_indi @ I )
                     => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_A1374816149t_bool @ Pa @ I ) ) )
                      <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Ba @ Ca ) ) @ ( hAPP_A1374816149t_bool @ P_1 @ I ) ) ) ) )
                 => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_f695124765t_bool @ f @ Pa ) ) )
                  <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Ba @ Ca ) ) @ ( hAPP_f695124765t_bool @ f @ P_1 ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8__C4_C) ).

thf(231,axiom,
    ! [P_1: $i,Pa: $i,A_8: $i,B_8: $i,Aa: $i,Ba: $i] :
      ( ( ( is_Arr553848933le_alt @ A_8 )
        & ( is_Arr553848933le_alt @ B_8 )
        & ( is_Arr553848933le_alt @ Aa )
        & ( is_Arr553848933le_alt @ Ba ) )
     => ( ( Aa != Ba )
       => ( ( A_8 != B_8 )
         => ( ( Aa != B_8 )
           => ( ( Ba != A_8 )
             => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ Pa ) @ arrow_413697182e_Prof ) )
               => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ P_1 ) @ arrow_413697182e_Prof ) )
                 => ( ! [I: $i] :
                        ( ( is_Arr625519182e_indi @ I )
                       => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_A1374816149t_bool @ Pa @ I ) ) )
                        <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_8 @ B_8 ) ) @ ( hAPP_A1374816149t_bool @ P_1 @ I ) ) ) ) )
                   => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_f695124765t_bool @ f @ Pa ) ) )
                     => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_8 @ B_8 ) ) @ ( hAPP_f695124765t_bool @ f @ P_1 ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7__C1_C) ).

thf(232,axiom,
    ! [P_1: $i,Pa: $i,A_8: $i,B_8: $i,Aa: $i,Ba: $i] :
      ( ( ( is_Arr553848933le_alt @ A_8 )
        & ( is_Arr553848933le_alt @ B_8 )
        & ( is_Arr553848933le_alt @ Aa )
        & ( is_Arr553848933le_alt @ Ba ) )
     => ( ( Aa != Ba )
       => ( ( A_8 != B_8 )
         => ( ( Aa != B_8 )
           => ( ( Ba != A_8 )
             => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ Pa ) @ arrow_413697182e_Prof ) )
               => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ P_1 ) @ arrow_413697182e_Prof ) )
                 => ( ! [I: $i] :
                        ( ( is_Arr625519182e_indi @ I )
                       => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_A1374816149t_bool @ Pa @ I ) ) )
                        <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_8 @ B_8 ) ) @ ( hAPP_A1374816149t_bool @ P_1 @ I ) ) ) ) )
                   => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_f695124765t_bool @ f @ Pa ) ) )
                    <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_8 @ B_8 ) ) @ ( hAPP_f695124765t_bool @ f @ P_1 ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6__C2_C) ).

thf(233,axiom,
    ! [X_2: $i,Y_1: $i,L: $i,Z_1: $i] :
      ( ( ( is_Arr553848933le_alt @ X_2 )
        & ( is_Arr553848933le_alt @ Y_1 )
        & ( is_Arr553848933le_alt @ Z_1 ) )
     => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Y_1 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ L ) @ Z_1 ) ) )
      <=> ( ( X_2 != Z_1 )
          & ( ( Y_1 = Z_1 )
           => ( X_2 != Y_1 ) )
          & ( ( Y_1 != Z_1 )
           => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Y_1 ) ) @ L ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_in__mktop) ).

thf(234,axiom,
    ! [X_2: $i,Y_1: $i,L: $i,Z_1: $i] :
      ( ( ( is_Arr553848933le_alt @ X_2 )
        & ( is_Arr553848933le_alt @ Y_1 )
        & ( is_Arr553848933le_alt @ Z_1 ) )
     => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Y_1 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ L ) @ Z_1 ) ) )
      <=> ( ( Y_1 != Z_1 )
          & ( ( X_2 = Z_1 )
           => ( X_2 != Y_1 ) )
          & ( ( X_2 != Z_1 )
           => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Y_1 ) ) @ L ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_in__mkbot) ).

thf(235,axiom,
    hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ p ) @ arrow_413697182e_Prof ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3__096P_A_058_AProf_096) ).

thf(236,axiom,
    c != d,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__096c_A_126_061_Ad_096) ).

thf(237,axiom,
    hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ f ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_u) ).

thf(238,axiom,
    hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ f ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms_I3_J) ).

thf(239,axiom,
    is_Arr553848933le_alt @ e,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_e____) ).

thf(240,axiom,
    is_Arr553848933le_alt @ b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_b____) ).

thf(241,axiom,
    is_Arr553848933le_alt @ a,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_a____) ).

thf(242,axiom,
    is_fun282293932t_bool @ lba,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_Lba____) ).

thf(243,axiom,
    is_fun282293932t_bool @ lab,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_Lab____) ).

thf(244,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_fun917378774i_bool @ ( hAPP_P907763049i_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__025) ).

thf(245,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_fun282293932t_bool @ B_1_1 )
     => ( is_bool @ ( hAPP_P2075002375t_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__024) ).

thf(246,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_Arr625519182e_indi @ ( hAPP_P2024088443e_indi @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc_) ).

thf(247,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_fun282293932t_bool @ B_2_1 )
     => ( is_fun282293932t_bool @ ( hAPP_f1673487381t_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___023) ).

thf(248,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_fun282293932t_bool @ B_2_1 )
     => ( is_fun432044380l_bool @ ( hAPP_f2056167603l_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___022) ).

thf(249,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_fun282293932t_bool @ B_2_1 )
     => ( is_fun917378774i_bool @ ( hAPP_f352490559i_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___021) ).

thf(250,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_fun282293932t_bool @ B_2_1 )
     => ( is_Arr625519182e_indi @ ( hAPP_f1659504677e_indi @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__) ).

thf(251,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_fun432044380l_bool @ B_2_1 )
     => ( is_bool @ ( hAPP_f503012287l_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje_019) ).

thf(252,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f460310451l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje) ).

thf(253,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f526292585l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_018) ).

thf(254,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f592909149l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel) ).

thf(255,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1279200745l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_017) ).

thf(256,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1766869725l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell) ).

thf(257,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_fun631676118l_bool @ B_2_1 )
     => ( is_bool @ ( hAPP_f213304539l_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew_016) ).

thf(258,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f500145249l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew_015) ).

thf(259,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f234874197l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew) ).

thf(260,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1895985727l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__prod_Itc__Arrow____Order____) ).

thf(261,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1550037191l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__prod_Itc__Arrow____) ).

thf(262,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1271180905l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__fun_Itc__Arrow____O) ).

thf(263,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1018082273l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__Arrow____Order____M) ).

thf(264,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f483434675l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_014) ).

thf(265,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_fun917378774i_bool @ ( hAPP_f355113919i_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_013) ).

thf(266,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_fun631676118l_bool @ B_1_1 )
     => ( is_bool @ ( hAPP_f785543729l_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_012) ).

thf(267,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_Arr625519182e_indi @ ( hAPP_f618619045e_indi @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_011) ).

thf(268,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_fun959573582l_bool @ B_2_1 )
     => ( is_bool @ ( hAPP_f453661011l_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_010) ).

thf(269,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1012384989l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_009) ).

thf(270,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f204273237l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O) ).

thf(271,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f387058535l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__HOL__Obool) ).

thf(272,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_fun432044380l_bool @ ( hAPP_f861484971l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__007) ).

thf(273,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_fun917378774i_bool @ ( hAPP_f749892423i_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__006) ).

thf(274,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_fun959573582l_bool @ B_1_1 )
     => ( is_bool @ ( hAPP_f1636546729l_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__005) ).

thf(275,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_Arr625519182e_indi @ ( hAPP_f1818473245e_indi @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__004) ).

thf(276,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_fun917378774i_bool @ B_2_1 )
     => ( is_bool @ ( hAPP_f919661787l_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc_) ).

thf(277,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_nat_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool) ).

thf(278,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_fun1016509681e_indi @ B_1_1 )
     => ( is_Arr625519182e_indi @ ( hAPP_n385347014e_indi @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Nat__Onat_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oi) ).

thf(279,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_bool @ B_2_1 )
     => ( is_fun282293932t_bool @ ( hAPP_b1024867081t_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabel) ).

thf(280,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_bool @ B_2_1 )
     => ( is_fun432044380l_bool @ ( hAPP_b1965422783l_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order__) ).

thf(281,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_bool @ B_2_1 )
     => ( is_fun631676118l_bool @ ( hAPP_b990649139l_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order___) ).

thf(282,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_bool @ B_2_1 )
     => ( is_fun959573582l_bool @ ( hAPP_b1719629739l_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabell) ).

thf(283,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_bool @ B_2_1 )
     => ( is_fun917378774i_bool @ ( hAPP_b1018211123i_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____fjew) ).

thf(284,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_bool @ B_2_1 )
     => ( is_bool @ ( hAPP_bool_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool) ).

thf(285,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_Arr625519182e_indi @ B_2_1 )
     => ( is_fun282293932t_bool @ ( hAPP_A1374816149t_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_003) ).

thf(286,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_Arr625519182e_indi @ B_2_1 )
     => ( is_fun432044380l_bool @ ( hAPP_A1944296755l_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_002) ).

thf(287,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_Arr625519182e_indi @ B_2_1 )
     => ( is_fun631676118l_bool @ ( hAPP_A1964572607l_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_001) ).

thf(288,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_Arr625519182e_indi @ B_2_1 )
     => ( is_fun959573582l_bool @ ( hAPP_A1912483895l_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It) ).

thf(289,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( ( is_fun917378774i_bool @ B_1_1 )
        & ( is_Arr625519182e_indi @ B_2_1 ) )
     => ( is_bool @ ( hAPP_A1466488369i_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__HOL__O) ).

thf(290,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_Arr553848933le_alt @ B_2_1 )
     => ( is_fun282293932t_bool @ ( hAPP_A619995676t_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_000tc__fun_Itc) ).

thf(291,axiom,
    is_bool @ fTrue,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_fTrue) ).

thf(292,axiom,
    is_bool @ fFalse,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_fFalse) ).

thf(293,axiom,
    ! [B_1_1: $i] :
      ( ( is_fun282293932t_bool @ B_1_1 )
     => ( is_fun282293932t_bool @ ( collec1711870802le_alt @ B_1_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Set_OCollect_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O) ).

thf(294,axiom,
    ! [B_1_1: $i] :
      ( ( is_fun432044380l_bool @ B_1_1 )
     => ( is_fun432044380l_bool @ ( collec874260222t_bool @ B_1_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Set_OCollect_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjew) ).

thf(295,axiom,
    ! [B_1_1: $i] :
      ( ( is_fun631676118l_bool @ B_1_1 )
     => ( is_fun631676118l_bool @ ( collec1520786044t_bool @ B_1_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Set_OCollect_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewx) ).

thf(296,axiom,
    ! [B_1_1: $i] :
      ( ( is_fun959573582l_bool @ B_1_1 )
     => ( is_fun959573582l_bool @ ( collec1580242420t_bool @ B_1_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Set_OCollect_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oi) ).

thf(297,axiom,
    ! [B_1_1: $i] :
      ( ( is_fun917378774i_bool @ B_1_1 )
     => ( is_fun917378774i_bool @ ( collec45183100e_indi @ B_1_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Set_OCollect_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi) ).

thf(298,axiom,
    is_fun282293932t_bool @ top_to2034604131t_bool,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__prod_Itc__Arrow____Order____Mir) ).

thf(299,axiom,
    is_fun432044380l_bool @ top_to2005687013l_bool,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Ord) ).

thf(300,axiom,
    is_fun631676118l_bool @ top_to40512653l_bool,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Orde) ).

thf(301,axiom,
    is_fun959573582l_bool @ top_to1194196741l_bool,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__Arrow____Order____Mira) ).

thf(302,axiom,
    is_fun917378774i_bool @ top_to1256827021i_bool,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Arrow____Order____Mirabelle____) ).

thf(303,axiom,
    is_bool @ top_top_bool,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool) ).

thf(304,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_fun917378774i_bool @ B_1_1 )
     => ( is_fun1016509681e_indi @ ( hilber1792103167di_nat @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Hilbert__Choice_Oinv__into_000tc__Arrow____Order____Mirabelle____fjewxadnq) ).

thf(305,axiom,
    is_fun282293932t_bool @ ( undefi802509179t_bool @ ( fun @ ( product_prod @ arrow_1812558424le_alt @ arrow_1812558424le_alt ) @ bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj) ).

thf(306,axiom,
    is_Arr625519182e_indi @ ( undefi818645567e_indi @ arrow_2110637339e_indi ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi) ).

thf(307,axiom,
    is_Arr553848933le_alt @ ( undefi1301554228le_alt @ arrow_1812558424le_alt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt) ).

thf(308,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_fun282293932t_bool @ B_1_1 )
     => ( is_fun432044380l_bool @ ( pi_Pro2135156861t_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_FuncSet_OPi_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oa) ).

thf(309,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_fun959573582l_bool @ B_1_1 )
     => ( is_fun631676118l_bool @ ( pi_fun433100839t_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_FuncSet_OPi_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oin) ).

thf(310,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_fun917378774i_bool @ B_1_1 )
     => ( is_fun959573582l_bool @ ( pi_Arr688267935t_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_FuncSet_OPi_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc_) ).

thf(311,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( is_fun917378774i_bool @ B_2_1 )
     => ( is_bool @ ( inj_on24934938di_nat @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Fun_Oinj__on_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc) ).

thf(312,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_fun917378774i_bool @ ( cOMBC_277798809t_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__Nat__) ).

thf(313,axiom,
    is_fun631676118l_bool @ arrow_467566751nimity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_Ounanimity) ).

thf(314,axiom,
    is_fun959573582l_bool @ arrow_413697182e_Prof,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OProf) ).

thf(315,axiom,
    is_fun432044380l_bool @ arrow_1239002508le_Lin,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OLin) ).

thf(316,axiom,
    is_fun631676118l_bool @ arrow_1212118780le_IIA,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OIIA) ).

thf(317,axiom,
    is_Arr553848933le_alt @ d,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_d____) ).

thf(318,axiom,
    is_Arr553848933le_alt @ c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_c____) ).

thf(319,axiom,
    ! [B_1_1: $i] : ( is_fun432044380l_bool @ ( member1056080916le_alt @ B_1_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_member_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mt) ).

thf(320,axiom,
    ! [B_1_1: $i,B_2_1: $i] :
      ( ( ( is_fun432044380l_bool @ B_1_1 )
        & ( is_fun282293932t_bool @ B_2_1 ) )
     => ( is_bool @ ( hAPP_f745298353l_bool @ B_1_1 @ B_2_1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___020) ).

thf(321,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_fun282293932t_bool @ ( hAPP_f695124765t_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__008) ).

thf(322,conjecture,
    hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ p ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(323,negated_conjecture,
    ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ p ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[322]) ).

thf(324,plain,
    ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ p ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[323]) ).

thf(325,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A869356733t_bool @ ( cOMBB_963584201e_indi @ P @ Q ) @ R )
          = ( hAPP_b1915039793t_bool @ P @ ( hAPP_A1466488369i_bool @ Q @ R ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(326,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A1333445289t_bool @ ( cOMBS_102864562t_bool @ P @ Q ) @ R )
          = ( hAPP_f159424297t_bool @ ( hAPP_A869356733t_bool @ P @ R ) @ ( hAPP_A1374816149t_bool @ Q @ R ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(327,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A1333445289t_bool @ ( cOMBC_481590946t_bool @ P @ Q ) @ R )
          = ( hAPP_f159424297t_bool @ ( hAPP_A869356733t_bool @ P @ R ) @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(328,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A460042315t_bool @ ( cOMBB_69933763e_indi @ P @ Q ) @ R )
          = ( hAPP_f1336478923t_bool @ P @ ( hAPP_A1374816149t_bool @ Q @ R ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(329,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun631676118l_bool @ P )
         => ( ( hAPP_A1964572607l_bool @ ( hAPP_f1697527281l_bool @ cOMBK_1292462166e_indi @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(330,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun917378774i_bool @ P )
         => ( ( hAPP_f355113919i_bool @ ( hAPP_f1677452273i_bool @ cOMBK_1372975190t_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(331,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A702630576t_bool @ ( cOMBB_1292070696e_indi @ P @ Q ) @ R )
          = ( hAPP_f1290184496t_bool @ P @ ( hAPP_A1374816149t_bool @ Q @ R ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(332,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun631676118l_bool @ P )
         => ( ( hAPP_b990649139l_bool @ ( hAPP_f448497509l_bool @ cOMBK_1268833122l_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(333,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( hAPP_f497468491l_bool @ ( hAPP_f1235573641l_bool @ cOMBK_1072228194t_bool @ P ) @ Q )
          = P ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(334,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun432044380l_bool @ P )
         => ( ( hAPP_f861484971l_bool @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(335,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_bool @ P )
         => ( ( hAPP_f785543729l_bool @ ( hAPP_b990649139l_bool @ cOMBK_580911210t_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(336,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A1374816149t_bool @ ( cOMBS_867867294t_bool @ P @ Q ) @ R )
          = ( hAPP_f1673487381t_bool @ ( hAPP_A1333445289t_bool @ P @ R ) @ ( hAPP_A1374816149t_bool @ Q @ R ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(337,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A1374816149t_bool @ ( cOMBC_437064334t_bool @ P @ Q ) @ R )
          = ( hAPP_f1673487381t_bool @ ( hAPP_A1333445289t_bool @ P @ R ) @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(338,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A702630576t_bool @ ( cOMBC_493523632t_bool @ P @ Q ) @ R )
          = ( hAPP_A384644407t_bool @ ( hAPP_A460042315t_bool @ P @ R ) @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(339,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun959573582l_bool @ P )
         => ( ( hAPP_A1912483895l_bool @ ( hAPP_f813556705l_bool @ cOMBK_116240846e_indi @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(340,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun917378774i_bool @ P )
         => ( ( hAPP_f749892423i_bool @ ( hAPP_f681113465i_bool @ cOMBK_454107598t_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(341,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A1374816149t_bool @ ( cOMBC_1778077589t_bool @ P @ Q ) @ R )
          = ( hAPP_A619995676t_bool @ ( hAPP_A702630576t_bool @ P @ R ) @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(342,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun959573582l_bool @ P )
         => ( ( hAPP_b1719629739l_bool @ ( hAPP_f371807573l_bool @ cOMBK_697604314l_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(343,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( hAPP_f313042899l_bool @ ( hAPP_f219827985l_bool @ cOMBK_886533338t_bool @ P ) @ Q )
          = P ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(344,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun432044380l_bool @ P )
         => ( ( hAPP_A1944296755l_bool @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(345,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun917378774i_bool @ P )
         => ( ( hAPP_f352490559i_bool @ ( hAPP_f1903519657i_bool @ cOMBK_2076140708t_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(346,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_bool @ P )
         => ( ( hAPP_f1636546729l_bool @ ( hAPP_b1719629739l_bool @ cOMBK_789167586t_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(347,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun282293932t_bool @ P )
         => ( ( hAPP_A1374816149t_bool @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(348,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun917378774i_bool @ P )
         => ( ( hAPP_P907763049i_bool @ ( hAPP_f1970593179i_bool @ cOMBK_100791596le_alt @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(349,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun432044380l_bool @ P )
         => ( ( hAPP_b1965422783l_bool @ ( hAPP_f2135750719l_bool @ cOMBK_971068024l_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(350,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( hAPP_f417299659l_bool @ ( hAPP_f1667233577l_bool @ cOMBK_1015076504t_bool @ P ) @ Q )
          = P ) )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(351,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun282293932t_bool @ P )
         => ( ( hAPP_b1024867081t_bool @ ( hAPP_f1520552209t_bool @ cOMBK_697786936l_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[27]) ).

thf(352,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( hAPP_P2127852789l_bool @ ( hAPP_f1724001331l_bool @ cOMBK_2008994872le_alt @ P ) @ Q )
          = P ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(353,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_bool @ P )
         => ( ( hAPP_f745298353l_bool @ ( hAPP_b1965422783l_bool @ cOMBK_977355664t_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(354,plain,
    ( ( ! [P: $i] :
          ( ( is_bool @ P )
         => ( ( P = fTrue )
            | ( P = fFalse ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(355,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( is_fun282293932t_bool @ Y )
         => ( ( hAPP_f1673487381t_bool @ ( hAPP_f159424297t_bool @ ( hAPP_b1915039793t_bool @ if_fun1419651289t_bool @ fFalse ) @ X ) @ Y )
            = Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(356,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( is_fun282293932t_bool @ X )
         => ( ( hAPP_f1673487381t_bool @ ( hAPP_f159424297t_bool @ ( hAPP_b1915039793t_bool @ if_fun1419651289t_bool @ fTrue ) @ X ) @ Y )
            = X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(357,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_bool @ P )
         => ( ( hAPP_P2075002375t_bool @ ( hAPP_b1024867081t_bool @ cOMBK_2069093696le_alt @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[33]) ).

thf(358,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A1922697556t_bool @ ( cOMBB_317992461e_indi @ P @ Q ) @ R )
          = ( hAPP_n1699378549t_bool @ P @ ( hAPP_A588601142di_nat @ Q @ R ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[34]) ).

thf(359,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A1466488369i_bool @ ( cOMBC_277798809t_bool @ P @ Q ) @ R )
          = ( hAPP_nat_bool @ ( hAPP_A1922697556t_bool @ P @ R ) @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[35]) ).

thf(360,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_bool @ P )
         => ( ( hAPP_A1466488369i_bool @ ( hAPP_b1018211123i_bool @ cOMBK_1157044842e_indi @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[36]) ).

thf(361,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ fequal_nat @ X ) @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[37]) ).

thf(362,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ fequal_nat @ X ) @ Y ) )
          | ( X = Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[38]) ).

thf(363,plain,
    ( ( ! [P: $i] :
          ( ( is_bool @ P )
         => ( ( P = fTrue )
            | ( P = fFalse ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[39]) ).

thf(364,plain,
    ( ( hBOOL @ fTrue )
    = $true ),
    inference(unfold_def,[status(thm)],[40]) ).

thf(365,plain,
    ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[41]) ).

thf(366,plain,
    ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ a @ b ) ) @ lba ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(367,plain,
    ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ a @ b ) ) @ lab ) )
    = $true ),
    inference(unfold_def,[status(thm)],[43]) ).

thf(368,plain,
    ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
    = $true ),
    inference(unfold_def,[status(thm)],[44]) ).

thf(369,plain,
    ( ( a != b )
    = $true ),
    inference(unfold_def,[status(thm)],[45]) ).

thf(370,plain,
    ( ( ! [I: $i] :
          ( ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ I ) ) @ n ) )
             => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ I ) ) @ e ) ) ) )
            & ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ I ) ) @ n ) )
             => ( ( ( ( hAPP_A588601142di_nat @ h @ I )
                    = n )
                 => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ I ) ) @ c ) @ e ) ) ) )
                & ( ( ( hAPP_A588601142di_nat @ h @ I )
                   != n )
                 => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ I ) ) @ e ) ) ) ) ) ) )
        <=> ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ I ) ) @ n ) )
             => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
            & ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ I ) ) @ n ) )
             => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[46]) ).

thf(371,plain,
    ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
    <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBC_437064334t_bool @ ( cOMBC_481590946t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ lab ) @ lba ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[47]) ).

thf(372,plain,
    ( ( ! [A: $i] :
          ( ( pi_Arr688267935t_bool @ A @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ top_to2005687013l_bool ) )
          = top_to1194196741l_bool ) )
    = $true ),
    inference(unfold_def,[status(thm)],[48]) ).

thf(373,plain,
    ( ( ! [A: $i] :
          ( ( pi_fun433100839t_bool @ A @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ top_to2005687013l_bool ) )
          = top_to40512653l_bool ) )
    = $true ),
    inference(unfold_def,[status(thm)],[49]) ).

thf(374,plain,
    ( ( ! [A: $i] :
          ( ( pi_Pro2135156861t_bool @ A @ ( hAPP_f1724001331l_bool @ cOMBK_2008994872le_alt @ top_to1647826457l_bool ) )
          = top_to2005687013l_bool ) )
    = $true ),
    inference(unfold_def,[status(thm)],[50]) ).

thf(375,plain,
    ( ( ! [Fa: $i,I_1: $i] :
          ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ Fa ) @ I_1 ) )
        <=> ! [X_1: $i] :
              ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_1 ) @ arrow_413697182e_Prof ) )
             => ( ( hAPP_f695124765t_bool @ Fa @ X_1 )
                = ( hAPP_A1374816149t_bool @ X_1 @ I_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[51]) ).

thf(376,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ F ) @ ( pi_Arr688267935t_bool @ A @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[52]) ).

thf(377,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ F ) @ ( pi_fun433100839t_bool @ A @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[53]) ).

thf(378,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ F ) @ ( pi_boo2007389459t_bool @ A @ ( hAPP_f2135750719l_bool @ cOMBK_971068024l_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[54]) ).

thf(379,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ F ) @ ( pi_boo71521447t_bool @ A @ ( hAPP_f448497509l_bool @ cOMBK_1268833122l_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[55]) ).

thf(380,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ F ) @ ( pi_Arr372473371t_bool @ A @ ( hAPP_f1697527281l_bool @ cOMBK_1292462166e_indi @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[56]) ).

thf(381,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ F ) @ ( pi_boo691944735t_bool @ A @ ( hAPP_f371807573l_bool @ cOMBK_697604314l_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[57]) ).

thf(382,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ F ) @ ( pi_Arr1511953043t_bool @ A @ ( hAPP_f813556705l_bool @ cOMBK_116240846e_indi @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[58]) ).

thf(383,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ F ) @ ( pi_boo1877522301le_alt @ A @ ( hAPP_f1520552209t_bool @ cOMBK_697786936l_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[59]) ).

thf(384,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ F ) @ ( pi_Arr149813489le_alt @ A @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[60]) ).

thf(385,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ F ) @ ( pi_fun1727820731l_bool @ A @ ( hAPP_f1667233577l_bool @ cOMBK_1015076504t_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[61]) ).

thf(386,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ F ) @ ( pi_fun972956463e_indi @ A @ ( hAPP_f1903519657i_bool @ cOMBK_2076140708t_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[62]) ).

thf(387,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ F ) @ ( pi_fun525942951l_bool @ A @ ( hAPP_f1235573641l_bool @ cOMBK_1072228194t_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[63]) ).

thf(388,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ F ) @ ( pi_fun2075749915e_indi @ A @ ( hAPP_f1677452273i_bool @ cOMBK_1372975190t_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[64]) ).

thf(389,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ F ) @ ( pi_fun1494794527l_bool @ A @ ( hAPP_f219827985l_bool @ cOMBK_886533338t_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[65]) ).

thf(390,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ F ) @ ( pi_fun1736243859e_indi @ A @ ( hAPP_f681113465i_bool @ cOMBK_454107598t_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[66]) ).

thf(391,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ F ) @ ( pi_Pro437273841e_indi @ A @ ( hAPP_f1970593179i_bool @ cOMBK_100791596le_alt @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[67]) ).

thf(392,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ F ) @ ( pi_Pro2135156861t_bool @ A @ ( hAPP_f1724001331l_bool @ cOMBK_2008994872le_alt @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[68]) ).

thf(393,plain,
    ( ( arrow_413697182e_Prof
      = ( pi_Arr688267935t_bool @ top_to1256827021i_bool @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ arrow_1239002508le_Lin ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[69]) ).

thf(394,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ F ) @ ( pi_Arr688267935t_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ F @ X_2 ) ) @ ( hAPP_A1944296755l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[70]) ).

thf(395,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ F ) @ ( pi_fun433100839t_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ F @ X_2 ) ) @ ( hAPP_f861484971l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[71]) ).

thf(396,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ F ) @ ( pi_boo2007389459t_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ F @ X_2 ) ) @ ( hAPP_b1965422783l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[72]) ).

thf(397,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ F ) @ ( pi_boo71521447t_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ F @ X_2 ) ) @ ( hAPP_b990649139l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[73]) ).

thf(398,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ F ) @ ( pi_Arr372473371t_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ F @ X_2 ) ) @ ( hAPP_A1964572607l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[74]) ).

thf(399,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ F ) @ ( pi_boo691944735t_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ F @ X_2 ) ) @ ( hAPP_b1719629739l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[75]) ).

thf(400,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ F ) @ ( pi_Arr1511953043t_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ F @ X_2 ) ) @ ( hAPP_A1912483895l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[76]) ).

thf(401,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ F ) @ ( pi_boo1877522301le_alt @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ F @ X_2 ) ) @ ( hAPP_b1024867081t_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[77]) ).

thf(402,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ F ) @ ( pi_Arr149813489le_alt @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ F @ X_2 ) ) @ ( hAPP_A1374816149t_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[78]) ).

thf(403,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ F ) @ ( pi_fun1727820731l_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ F @ X_2 ) ) @ ( hAPP_f417299659l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[79]) ).

thf(404,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ F ) @ ( pi_fun972956463e_indi @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ F @ X_2 ) ) @ ( hAPP_f352490559i_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[80]) ).

thf(405,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ F ) @ ( pi_fun525942951l_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ F @ X_2 ) ) @ ( hAPP_f497468491l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[81]) ).

thf(406,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ F ) @ ( pi_fun2075749915e_indi @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ F @ X_2 ) ) @ ( hAPP_f355113919i_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[82]) ).

thf(407,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ F ) @ ( pi_fun1494794527l_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ F @ X_2 ) ) @ ( hAPP_f313042899l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[83]) ).

thf(408,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ F ) @ ( pi_fun1736243859e_indi @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ F @ X_2 ) ) @ ( hAPP_f749892423i_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[84]) ).

thf(409,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ F ) @ ( pi_Pro437273841e_indi @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ F @ X_2 ) ) @ ( hAPP_P907763049i_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[85]) ).

thf(410,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ F ) @ ( pi_Pro2135156861t_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ F @ X_2 ) ) @ ( hAPP_P2127852789l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[86]) ).

thf(411,plain,
    ( ( ! [Na: $i] : ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( cOMBC_437064334t_bool @ ( cOMBC_481590946t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ Na ) ) @ lab ) @ lba ) ) @ arrow_413697182e_Prof ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[87]) ).

thf(412,plain,
    ( ( ! [Aa: $i,Ba: $i] :
          ( ( ( is_Arr553848933le_alt @ Aa )
            & ( is_Arr553848933le_alt @ Ba ) )
         => ( ( Aa != Ba )
           => ? [X_1: $i] :
                ( ( is_fun282293932t_bool @ X_1 )
                & ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_1 ) @ arrow_1239002508le_Lin ) )
                & ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ X_1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[88]) ).

thf(413,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ F ) @ ( pi_Arr688267935t_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ F @ X_2 ) ) @ ( hAPP_A1944296755l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[89]) ).

thf(414,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ F ) @ ( pi_fun433100839t_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ F @ X_2 ) ) @ ( hAPP_f861484971l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[90]) ).

thf(415,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ F ) @ ( pi_fun1727820731l_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ F @ X_2 ) ) @ ( hAPP_f417299659l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[91]) ).

thf(416,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ F ) @ ( pi_fun972956463e_indi @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ F @ X_2 ) ) @ ( hAPP_f352490559i_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[92]) ).

thf(417,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ F ) @ ( pi_fun525942951l_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ F @ X_2 ) ) @ ( hAPP_f497468491l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[93]) ).

thf(418,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ F ) @ ( pi_fun2075749915e_indi @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ F @ X_2 ) ) @ ( hAPP_f355113919i_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[94]) ).

thf(419,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ F ) @ ( pi_fun1494794527l_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ F @ X_2 ) ) @ ( hAPP_f313042899l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[95]) ).

thf(420,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ F ) @ ( pi_fun1736243859e_indi @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ F @ X_2 ) ) @ ( hAPP_f749892423i_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[96]) ).

thf(421,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ F ) @ ( pi_Pro437273841e_indi @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ F @ X_2 ) ) @ ( hAPP_P907763049i_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[97]) ).

thf(422,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ F ) @ ( pi_boo2007389459t_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ F @ X_2 ) ) @ ( hAPP_b1965422783l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[98]) ).

thf(423,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ F ) @ ( pi_boo71521447t_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ F @ X_2 ) ) @ ( hAPP_b990649139l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[99]) ).

thf(424,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ F ) @ ( pi_Arr372473371t_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ F @ X_2 ) ) @ ( hAPP_A1964572607l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[100]) ).

thf(425,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ F ) @ ( pi_boo691944735t_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ F @ X_2 ) ) @ ( hAPP_b1719629739l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[101]) ).

thf(426,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ F ) @ ( pi_Arr1511953043t_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ F @ X_2 ) ) @ ( hAPP_A1912483895l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[102]) ).

thf(427,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ F ) @ ( pi_boo1877522301le_alt @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ F @ X_2 ) ) @ ( hAPP_b1024867081t_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[103]) ).

thf(428,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ F ) @ ( pi_Arr149813489le_alt @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ F @ X_2 ) ) @ ( hAPP_A1374816149t_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[104]) ).

thf(429,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ F ) @ ( pi_Pro2135156861t_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ F @ X_2 ) ) @ ( hAPP_P2127852789l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[105]) ).

thf(430,plain,
    ( ( ! [I_1: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ Fa ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
         => ( ! [X_1: $i] :
                ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_1 ) @ arrow_413697182e_Prof ) )
               => ! [A_1: $i,B_1: $i] :
                    ( ( ( is_Arr553848933le_alt @ A_1 )
                      & ( is_Arr553848933le_alt @ B_1 ) )
                   => ( ( A_1 != B_1 )
                     => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_A1374816149t_bool @ X_1 @ I_1 ) ) )
                       => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_f695124765t_bool @ Fa @ X_1 ) ) ) ) ) ) )
           => ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ Fa ) @ I_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[106]) ).

thf(431,plain,
    ( ( ! [X_2: $i,Y_1: $i,L: $i,Aa: $i,Ba: $i] :
          ( ( ( is_Arr553848933le_alt @ X_2 )
            & ( is_Arr553848933le_alt @ Y_1 )
            & ( is_Arr553848933le_alt @ Aa )
            & ( is_Arr553848933le_alt @ Ba ) )
         => ( ( Aa != Ba )
           => ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ L ) @ arrow_1239002508le_Lin ) )
             => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Y_1 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ L ) @ Aa ) @ Ba ) ) )
              <=> ( ( X_2 != Y_1 )
                  & ( ( X_2 = Ba )
                   => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Y_1 ) ) @ L ) ) )
                  & ( ( X_2 != Ba )
                   => ( ( ( Y_1 = Ba )
                       => ( ( X_2 = Aa )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Aa ) ) @ L ) ) ) )
                      & ( ( Y_1 != Ba )
                       => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Y_1 ) ) @ L ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[107]) ).

thf(432,plain,
    ( ( ! [L: $i] :
          ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ L ) @ arrow_1239002508le_Lin ) )
         => ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ L ) ) @ arrow_413697182e_Prof ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[108]) ).

thf(433,plain,
    ( ( ! [L: $i,X_2: $i,Y_1: $i] :
          ( ( ( is_Arr553848933le_alt @ X_2 )
            & ( is_Arr553848933le_alt @ Y_1 ) )
         => ( ( X_2 != Y_1 )
           => ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ L ) @ arrow_1239002508le_Lin ) )
             => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ L ) @ X_2 ) @ Y_1 ) ) @ arrow_1239002508le_Lin ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[109]) ).

thf(434,plain,
    ( ( ! [X_2: $i,L: $i] :
          ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ L ) @ arrow_1239002508le_Lin ) )
         => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ L ) @ X_2 ) ) @ arrow_1239002508le_Lin ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[110]) ).

thf(435,plain,
    ( ( ! [X_2: $i,L: $i] :
          ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ L ) @ arrow_1239002508le_Lin ) )
         => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ L ) @ X_2 ) ) @ arrow_1239002508le_Lin ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[111]) ).

thf(436,plain,
    ( ( ! [Pa: $i] :
          ( ( is_fun917378774i_bool @ Pa )
         => ( ( collec45183100e_indi @ Pa )
            = Pa ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[112]) ).

thf(437,plain,
    ( ( ! [X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ A ) )
        <=> ( hBOOL @ ( hAPP_f745298353l_bool @ A @ X_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[113]) ).

thf(438,plain,
    ( ( ! [X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ A ) )
        <=> ( hBOOL @ ( hAPP_f785543729l_bool @ A @ X_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[114]) ).

thf(439,plain,
    ( ( ! [X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) )
        <=> ( hBOOL @ ( hAPP_f1636546729l_bool @ A @ X_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[115]) ).

thf(440,plain,
    ( ( ! [X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ A ) )
        <=> ( hBOOL @ ( hAPP_P2075002375t_bool @ A @ X_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[116]) ).

thf(441,plain,
    ( ( ! [X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
        <=> ( hBOOL @ ( hAPP_bool_bool @ A @ X_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[117]) ).

thf(442,plain,
    ( ( ! [X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
        <=> ( hBOOL @ ( hAPP_A1466488369i_bool @ A @ X_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[118]) ).

thf(443,plain,
    ( ( ! [X_2: $i,Y_1: $i,L: $i] :
          ( ( ( is_Arr553848933le_alt @ X_2 )
            & ( is_Arr553848933le_alt @ Y_1 ) )
         => ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ L ) @ arrow_1239002508le_Lin ) )
           => ( ( X_2 != Y_1 )
             => ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Y_1 ) ) @ L ) )
              <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Y_1 @ X_2 ) ) @ L ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[119]) ).

thf(444,plain,
    ( ( ! [Aa: $i,Ba: $i,L: $i] :
          ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ L ) @ arrow_1239002508le_Lin ) )
         => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ L ) )
           => ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Ba @ Aa ) ) @ L ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[120]) ).

thf(445,plain,
    ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ lab ) @ arrow_1239002508le_Lin ) )
    = $true ),
    inference(unfold_def,[status(thm)],[121]) ).

thf(446,plain,
    ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ lba ) @ arrow_1239002508le_Lin ) )
    = $true ),
    inference(unfold_def,[status(thm)],[122]) ).

thf(447,plain,
    ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ f ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[123]) ).

thf(448,plain,
    ( ( ! [F: $i] :
          ( ! [X_1: $i,Y_2: $i] :
              ( ( ( is_Arr625519182e_indi @ X_1 )
                & ( is_Arr625519182e_indi @ Y_2 ) )
             => ( ( ( hAPP_A588601142di_nat @ F @ X_1 )
                  = ( hAPP_A588601142di_nat @ F @ Y_2 ) )
               => ( X_1 = Y_2 ) ) )
         => ( hBOOL @ ( inj_on24934938di_nat @ F @ top_to1256827021i_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[124]) ).

thf(449,plain,
    ( ( ! [G: $i,F: $i] :
          ( ( is_fun1016509681e_indi @ G )
         => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ top_to1256827021i_bool ) )
           => ( ! [X_1: $i] :
                  ( ( hAPP_A588601142di_nat @ F @ ( hAPP_n385347014e_indi @ G @ X_1 ) )
                  = X_1 )
             => ( ( hilber1792103167di_nat @ top_to1256827021i_bool @ F )
                = G ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[125]) ).

thf(450,plain,
    ( ( ! [X_2: $i,Y_1: $i,F: $i] :
          ( ( ( is_Arr625519182e_indi @ X_2 )
            & ( is_Arr625519182e_indi @ Y_1 ) )
         => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ top_to1256827021i_bool ) )
           => ( ( ( hAPP_A588601142di_nat @ F @ X_2 )
                = ( hAPP_A588601142di_nat @ F @ Y_1 ) )
             => ( X_2 = Y_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[126]) ).

thf(451,plain,
    ( ( ! [X_2: $i,Y_1: $i,F: $i,A: $i] :
          ( ( ( is_Arr625519182e_indi @ X_2 )
            & ( is_Arr625519182e_indi @ Y_1 ) )
         => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ A ) )
           => ( ( ( hAPP_A588601142di_nat @ F @ X_2 )
                = ( hAPP_A588601142di_nat @ F @ Y_1 ) )
             => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
               => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ Y_1 ) @ A ) )
                 => ( X_2 = Y_1 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[127]) ).

thf(452,plain,
    ( ( ! [Y_1: $i,X_2: $i,F: $i,A: $i] :
          ( ( ( is_Arr625519182e_indi @ Y_1 )
            & ( is_Arr625519182e_indi @ X_2 ) )
         => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ A ) )
           => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
             => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ Y_1 ) @ A ) )
               => ( ( ( hAPP_A588601142di_nat @ F @ X_2 )
                    = ( hAPP_A588601142di_nat @ F @ Y_1 ) )
                <=> ( X_2 = Y_1 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[128]) ).

thf(453,plain,
    ( ( ! [X_2: $i,Y_1: $i,F: $i,A: $i] :
          ( ( ( is_Arr625519182e_indi @ X_2 )
            & ( is_Arr625519182e_indi @ Y_1 ) )
         => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ A ) )
           => ( ( X_2 != Y_1 )
             => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
               => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ Y_1 ) @ A ) )
                 => ( ( hAPP_A588601142di_nat @ F @ X_2 )
                   != ( hAPP_A588601142di_nat @ F @ Y_1 ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[129]) ).

thf(454,plain,
    ( ( ! [F: $i,A: $i] :
          ( ( hBOOL @ ( inj_on24934938di_nat @ F @ A ) )
        <=> ! [X_1: $i] :
              ( ( is_Arr625519182e_indi @ X_1 )
             => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_1 ) @ A ) )
               => ! [Xa: $i] :
                    ( ( is_Arr625519182e_indi @ Xa )
                   => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ Xa ) @ A ) )
                     => ( ( ( hAPP_A588601142di_nat @ F @ X_1 )
                          = ( hAPP_A588601142di_nat @ F @ Xa ) )
                       => ( X_1 = Xa ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[130]) ).

thf(455,plain,
    ( ( ! [X_2: $i,Y_1: $i,F: $i] :
          ( ( ( is_Arr625519182e_indi @ X_2 )
            & ( is_Arr625519182e_indi @ Y_1 ) )
         => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ top_to1256827021i_bool ) )
           => ( ( ( hAPP_A588601142di_nat @ F @ X_2 )
                = ( hAPP_A588601142di_nat @ F @ Y_1 ) )
            <=> ( X_2 = Y_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[131]) ).

thf(456,plain,
    ( ( ! [Y_1: $i,X_2: $i,F: $i,A: $i] :
          ( ( is_Arr625519182e_indi @ X_2 )
         => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ A ) )
           => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
             => ( ( ( hAPP_A588601142di_nat @ F @ X_2 )
                  = Y_1 )
               => ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ A @ F ) @ Y_1 )
                  = X_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[132]) ).

thf(457,plain,
    ( ( ! [X_2: $i,F: $i,A: $i] :
          ( ( is_Arr625519182e_indi @ X_2 )
         => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ A ) )
           => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
             => ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ A @ F ) @ ( hAPP_A588601142di_nat @ F @ X_2 ) )
                = X_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[133]) ).

thf(458,plain,
    ( ( ! [X_2: $i,F: $i] :
          ( ( is_Arr625519182e_indi @ X_2 )
         => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ top_to1256827021i_bool ) )
           => ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ F ) @ ( hAPP_A588601142di_nat @ F @ X_2 ) )
              = X_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[134]) ).

thf(459,plain,
    ( ( ! [X_2: $i,Y_1: $i,F: $i] :
          ( ( is_Arr625519182e_indi @ X_2 )
         => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ top_to1256827021i_bool ) )
           => ( ( ( hAPP_A588601142di_nat @ F @ X_2 )
                = Y_1 )
             => ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ F ) @ Y_1 )
                = X_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[135]) ).

thf(460,plain,
    ( ( ! [Aa: $i] :
          ( ( is_fun917378774i_bool @ Aa )
         => ( ( Aa != top_to1256827021i_bool )
          <=> ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Aa ) @ top_to1256827021i_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[136]) ).

thf(461,plain,
    ( ( ! [Aa: $i] :
          ( ( is_fun282293932t_bool @ Aa )
         => ( ( Aa != top_to2034604131t_bool )
          <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ Aa ) @ top_to2034604131t_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[137]) ).

thf(462,plain,
    ( ( ! [Aa: $i] :
          ( ~ ( ( hBOOL @ Aa )
            <=> ( hBOOL @ top_top_bool ) )
        <=> ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ Aa ) @ top_top_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[138]) ).

thf(463,plain,
    ( ( ! [Aa: $i] :
          ( ( is_fun631676118l_bool @ Aa )
         => ( ( Aa != top_to40512653l_bool )
          <=> ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ Aa ) @ top_to40512653l_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[139]) ).

thf(464,plain,
    ( ( ! [Aa: $i] :
          ( ( is_fun959573582l_bool @ Aa )
         => ( ( Aa != top_to1194196741l_bool )
          <=> ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ Aa ) @ top_to1194196741l_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[140]) ).

thf(465,plain,
    ( ( ! [Aa: $i] :
          ( ( is_fun432044380l_bool @ Aa )
         => ( ( Aa != top_to2005687013l_bool )
          <=> ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ Aa ) @ top_to2005687013l_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[141]) ).

thf(466,plain,
    ( ( ! [S: $i,R_1: $i] :
          ( ( ( is_fun282293932t_bool @ S )
            & ( is_fun282293932t_bool @ R_1 ) )
         => ( ! [X_1: $i,Xa: $i] :
                ( ( ( is_Arr553848933le_alt @ X_1 )
                  & ( is_Arr553848933le_alt @ Xa ) )
               => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_1 @ Xa ) ) @ R_1 ) )
                <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_1 @ Xa ) ) @ S ) ) ) )
          <=> ( R_1 = S ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[142]) ).

thf(467,plain,
    ( ( top_to1256827021i_bool
      = ( collec45183100e_indi @ ( hAPP_b1018211123i_bool @ cOMBK_1157044842e_indi @ fTrue ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[143]) ).

thf(468,plain,
    ( ( top_to2034604131t_bool
      = ( collec1711870802le_alt @ ( hAPP_b1024867081t_bool @ cOMBK_2069093696le_alt @ fTrue ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[144]) ).

thf(469,plain,
    ( ( top_to40512653l_bool
      = ( collec1520786044t_bool @ ( hAPP_b990649139l_bool @ cOMBK_580911210t_bool @ fTrue ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[145]) ).

thf(470,plain,
    ( ( top_to1194196741l_bool
      = ( collec1580242420t_bool @ ( hAPP_b1719629739l_bool @ cOMBK_789167586t_bool @ fTrue ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[146]) ).

thf(471,plain,
    ( ( top_to2005687013l_bool
      = ( collec874260222t_bool @ ( hAPP_b1965422783l_bool @ cOMBK_977355664t_bool @ fTrue ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[147]) ).

thf(472,plain,
    ( ( ! [X_3: $i] :
          ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_3 ) @ X_3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[148]) ).

thf(473,plain,
    ( ( ! [X_2: $i] :
          ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ X_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[149]) ).

thf(474,plain,
    ( ( ! [X_2: $i,Y_1: $i] :
          ( ( X_2 != Y_1 )
        <=> ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_2 ) @ Y_1 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_1 ) @ X_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[150]) ).

thf(475,plain,
    ( ( ! [X_2: $i,Y_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_2 ) @ Y_1 ) )
        <=> ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_1 ) @ X_2 ) )
            | ( X_2 = Y_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[151]) ).

thf(476,plain,
    ( ( ! [X_4: $i,Y_3: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_4 ) @ Y_3 ) )
          | ( X_4 = Y_3 )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_3 ) @ X_4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[152]) ).

thf(477,plain,
    ( ( ! [Y_1: $i,X_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_1 ) @ X_2 ) )
         => ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_2 ) @ Y_1 ) )
          <=> ( X_2 = Y_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[153]) ).

thf(478,plain,
    ( ( ! [X_5: $i,Y_4: $i] :
          ( ( X_5 != Y_4 )
         => ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_5 ) @ Y_4 ) )
           => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_4 ) @ X_5 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[154]) ).

thf(479,plain,
    ( ( ! [X_6: $i,Y_5: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_6 ) @ Y_5 ) )
         => ( X_6 != Y_5 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[155]) ).

thf(480,plain,
    ( ( ! [X_2: $i,Y_1: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
         => ( X_2 != Y_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[156]) ).

thf(481,plain,
    ( ( ! [X_7: $i,Y_6: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_7 ) @ Y_6 ) )
         => ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_6 ) @ X_7 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[157]) ).

thf(482,plain,
    ( ( ! [X_2: $i,Y_1: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
         => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Y_1 ) @ X_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[158]) ).

thf(483,plain,
    ( ( ! [X_8: $i,Y_7: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_8 ) @ Y_7 ) )
         => ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_7 ) @ X_8 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[159]) ).

thf(484,plain,
    ( ( ! [X_2: $i,Y_1: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
         => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Y_1 ) @ X_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[160]) ).

thf(485,plain,
    ( ( ! [X_9: $i,Y_8: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_9 ) @ Y_8 ) )
         => ( X_9 != Y_8 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[161]) ).

thf(486,plain,
    ( ( ! [X_2: $i,Y_1: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
         => ( X_2 != Y_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[162]) ).

thf(487,plain,
    ( ( ! [X_10: $i,Y_9: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_10 ) @ Y_9 ) )
         => ( Y_9 != X_10 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[163]) ).

thf(488,plain,
    ( ( ! [X_2: $i,Y_1: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
         => ( Y_1 != X_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[164]) ).

thf(489,plain,
    ( ( ! [Pa: $i,X_2: $i,Y_1: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_2 ) @ Y_1 ) )
         => ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_1 ) @ X_2 ) )
           => ( hBOOL @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[165]) ).

thf(490,plain,
    ( ( ! [Pa: $i,X_2: $i,Y_1: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Y_1 ) @ X_2 ) )
           => ( hBOOL @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[166]) ).

thf(491,plain,
    ( ( ! [A_2: $i,B_2: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ A_2 ) @ B_2 ) )
         => ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ B_2 ) @ A_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[167]) ).

thf(492,plain,
    ( ( ! [Aa: $i,Ba: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Aa ) @ Ba ) )
         => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Ba ) @ Aa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[168]) ).

thf(493,plain,
    ( ( ! [B_3: $i,A_3: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ B_3 ) @ A_3 ) )
         => ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ A_3 ) @ B_3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[169]) ).

thf(494,plain,
    ( ( ! [Ba: $i,Aa: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Ba ) @ Aa ) )
         => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Aa ) @ Ba ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[170]) ).

thf(495,plain,
    ( ( ! [C: $i,A_4: $i,B_4: $i] :
          ( ( A_4 = B_4 )
         => ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ B_4 ) @ C ) )
           => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ A_4 ) @ C ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[171]) ).

thf(496,plain,
    ( ( ! [Ca: $i,Aa: $i,Ba: $i] :
          ( ( Aa = Ba )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Ba ) @ Ca ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Aa ) @ Ca ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[172]) ).

thf(497,plain,
    ( ( ! [C_1: $i,A_5: $i,B_5: $i] :
          ( ( A_5 = B_5 )
         => ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ C_1 ) @ B_5 ) )
           => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ C_1 ) @ A_5 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[173]) ).

thf(498,plain,
    ( ( ! [Ca: $i,Aa: $i,Ba: $i] :
          ( ( Aa = Ba )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Ca ) @ Ba ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Ca ) @ Aa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[174]) ).

thf(499,plain,
    ( ( ! [C_2: $i,A_6: $i,B_6: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ A_6 ) @ B_6 ) )
         => ( ( B_6 = C_2 )
           => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ A_6 ) @ C_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[175]) ).

thf(500,plain,
    ( ( ! [Ca: $i,Aa: $i,Ba: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Aa ) @ Ba ) )
         => ( ( Ba = Ca )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Aa ) @ Ca ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[176]) ).

thf(501,plain,
    ( ( ! [C_3: $i,B_7: $i,A_7: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ B_7 ) @ A_7 ) )
         => ( ( B_7 = C_3 )
           => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ C_3 ) @ A_7 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[177]) ).

thf(502,plain,
    ( ( ! [Ca: $i,Ba: $i,Aa: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Ba ) @ Aa ) )
         => ( ( Ba = Ca )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Ca ) @ Aa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[178]) ).

thf(503,plain,
    ( ( ! [Z: $i,X_11: $i,Y_10: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_11 ) @ Y_10 ) )
         => ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_10 ) @ Z ) )
           => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_11 ) @ Z ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[179]) ).

thf(504,plain,
    ( ( ! [Z_1: $i,X_2: $i,Y_1: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Y_1 ) @ Z_1 ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Z_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[180]) ).

thf(505,plain,
    ( ( ! [Z_2: $i,Y_11: $i,X_12: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_11 ) @ X_12 ) )
         => ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Z_2 ) @ Y_11 ) )
           => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Z_2 ) @ X_12 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[181]) ).

thf(506,plain,
    ( ( ! [Z_1: $i,Y_1: $i,X_2: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Y_1 ) @ X_2 ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Z_1 ) @ Y_1 ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Z_1 ) @ X_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[182]) ).

thf(507,plain,
    ( ( ! [X_13: $i,Y_12: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_13 ) @ Y_12 ) )
         => ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_12 ) @ X_13 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[183]) ).

thf(508,plain,
    ( ( ! [X_2: $i,Y_1: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
         => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Y_1 ) @ X_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[184]) ).

thf(509,plain,
    ( ( ! [X_14: $i,Y_13: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_14 ) @ Y_13 ) )
         => ( ( X_14 != Y_13 )
           => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_13 ) @ X_14 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[185]) ).

thf(510,plain,
    ( ( ! [Aa: $i] :
          ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ top_to1256827021i_bool ) @ Aa ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[186]) ).

thf(511,plain,
    ( ( ! [Aa: $i] :
          ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ top_to2034604131t_bool ) @ Aa ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[187]) ).

thf(512,plain,
    ( ( ! [Aa: $i] :
          ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ top_top_bool ) @ Aa ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[188]) ).

thf(513,plain,
    ( ( ! [Aa: $i] :
          ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ top_to40512653l_bool ) @ Aa ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[189]) ).

thf(514,plain,
    ( ( ! [Aa: $i] :
          ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ top_to1194196741l_bool ) @ Aa ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[190]) ).

thf(515,plain,
    ( ( ! [Aa: $i] :
          ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ top_to2005687013l_bool ) @ Aa ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[191]) ).

thf(516,plain,
    ( ( ! [X_2: $i] :
          ( ( hBOOL @ ( hAPP_A1466488369i_bool @ top_to1256827021i_bool @ X_2 ) )
        <=> ( hBOOL @ top_top_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[192]) ).

thf(517,plain,
    ( ( ! [X_2: $i] :
          ( ( hBOOL @ ( hAPP_P2075002375t_bool @ top_to2034604131t_bool @ X_2 ) )
        <=> ( hBOOL @ top_top_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[193]) ).

thf(518,plain,
    ( ( ! [X_2: $i] :
          ( ( hBOOL @ ( hAPP_f785543729l_bool @ top_to40512653l_bool @ X_2 ) )
        <=> ( hBOOL @ top_top_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[194]) ).

thf(519,plain,
    ( ( ! [X_2: $i] :
          ( ( hBOOL @ ( hAPP_f1636546729l_bool @ top_to1194196741l_bool @ X_2 ) )
        <=> ( hBOOL @ top_top_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[195]) ).

thf(520,plain,
    ( ( ! [X_2: $i] :
          ( ( hBOOL @ ( hAPP_f745298353l_bool @ top_to2005687013l_bool @ X_2 ) )
        <=> ( hBOOL @ top_top_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[196]) ).

thf(521,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ top_to2005687013l_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[197]) ).

thf(522,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ top_to40512653l_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[198]) ).

thf(523,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ top_to1194196741l_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[199]) ).

thf(524,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ top_to2034604131t_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[200]) ).

thf(525,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ top_to1256827021i_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[201]) ).

thf(526,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ top_to1647826457l_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[202]) ).

thf(527,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ top_to2005687013l_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[203]) ).

thf(528,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ top_to40512653l_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[204]) ).

thf(529,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ top_to1194196741l_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[205]) ).

thf(530,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ top_to2034604131t_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[206]) ).

thf(531,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ top_to1256827021i_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[207]) ).

thf(532,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ top_to1647826457l_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[208]) ).

thf(533,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_A1466488369i_bool @ top_to1256827021i_bool @ X_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[209]) ).

thf(534,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ top_to2034604131t_bool @ X_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[210]) ).

thf(535,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f785543729l_bool @ top_to40512653l_bool @ X_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[211]) ).

thf(536,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f1636546729l_bool @ top_to1194196741l_bool @ X_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[212]) ).

thf(537,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f745298353l_bool @ top_to2005687013l_bool @ X_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[213]) ).

thf(538,plain,
    ( ( ! [Fa: $i] :
          ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ Fa ) )
        <=> ! [X_1: $i] :
              ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_1 ) @ arrow_413697182e_Prof ) )
             => ! [A_1: $i,B_1: $i] :
                  ( ( ( is_Arr553848933le_alt @ A_1 )
                    & ( is_Arr553848933le_alt @ B_1 ) )
                 => ( ! [I: $i] :
                        ( ( is_Arr625519182e_indi @ I )
                       => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_A1374816149t_bool @ X_1 @ I ) ) ) )
                   => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_f695124765t_bool @ Fa @ X_1 ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[214]) ).

thf(539,plain,
    ( ( ! [Fa: $i] :
          ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ Fa ) )
        <=> ! [X_1: $i] :
              ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_1 ) @ arrow_413697182e_Prof ) )
             => ! [Xa: $i] :
                  ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ Xa ) @ arrow_413697182e_Prof ) )
                 => ! [A_1: $i,B_1: $i] :
                      ( ( ( is_Arr553848933le_alt @ A_1 )
                        & ( is_Arr553848933le_alt @ B_1 ) )
                     => ( ! [I: $i] :
                            ( ( is_Arr625519182e_indi @ I )
                           => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_A1374816149t_bool @ X_1 @ I ) ) )
                            <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_A1374816149t_bool @ Xa @ I ) ) ) ) )
                       => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_f695124765t_bool @ Fa @ X_1 ) ) )
                        <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_f695124765t_bool @ Fa @ Xa ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[215]) ).

thf(540,plain,
    ( ( ! [Aa: $i,Ba: $i,A_8: $i,B_8: $i] :
          ( ( ( is_Arr553848933le_alt @ Aa )
            & ( is_Arr553848933le_alt @ Ba )
            & ( is_Arr553848933le_alt @ A_8 )
            & ( is_Arr553848933le_alt @ B_8 ) )
         => ( ( ( produc171383831le_alt @ Aa @ Ba )
              = ( produc171383831le_alt @ A_8 @ B_8 ) )
          <=> ( ( Aa = A_8 )
              & ( Ba = B_8 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[216]) ).

thf(541,plain,
    ( ( ! [A_10: $i,B_10: $i,A_9: $i,B_9: $i] :
          ( ( ( is_Arr553848933le_alt @ A_10 )
            & ( is_Arr553848933le_alt @ B_10 )
            & ( is_Arr553848933le_alt @ A_9 )
            & ( is_Arr553848933le_alt @ B_9 ) )
         => ( ( ( produc171383831le_alt @ A_10 @ B_10 )
              = ( produc171383831le_alt @ A_9 @ B_9 ) )
           => ~ ( ( A_10 = A_9 )
               => ( B_10 != B_9 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[217]) ).

thf(542,plain,
    ( ( hBOOL @ ( inj_on24934938di_nat @ h @ top_to1256827021i_bool ) )
    = $true ),
    inference(unfold_def,[status(thm)],[218]) ).

thf(543,plain,
    ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ n ) @ ( finite120254591e_indi @ top_to1256827021i_bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[219]) ).

thf(544,plain,
    ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[220]) ).

thf(545,plain,
    ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ e ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[221]) ).

thf(546,plain,
    ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) @ arrow_413697182e_Prof ) )
    = $true ),
    inference(unfold_def,[status(thm)],[222]) ).

thf(547,plain,
    ( ( ! [Pa: $i] :
          ( ! [X1: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ Pa @ X1 ) )
        <=> ! [A_1: $i,B_1: $i] :
              ( ( ( is_Arr553848933le_alt @ A_1 )
                & ( is_Arr553848933le_alt @ B_1 ) )
             => ( hBOOL @ ( hAPP_P2075002375t_bool @ Pa @ ( produc171383831le_alt @ A_1 @ B_1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[223]) ).

thf(548,plain,
    ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ p ) ) )
    <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[224]) ).

thf(549,plain,
    ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[225]) ).

thf(550,plain,
    ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ h ) @ n ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[226]) ).

thf(551,plain,
    ( ( ! [I: $i] :
          ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ I ) ) )
        <=> ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ I ) ) @ n ) )
             => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ I ) ) @ e ) ) ) )
            & ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ I ) ) @ n ) )
             => ( ( ( ( hAPP_A588601142di_nat @ h @ I )
                    = n )
                 => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ I ) ) @ c ) @ e ) ) ) )
                & ( ( ( hAPP_A588601142di_nat @ h @ I )
                   != n )
                 => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ I ) ) @ e ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[227]) ).

thf(552,plain,
    ( ( ! [P_1: $i,Pa: $i,Aa: $i,Ba: $i] :
          ( ( ( is_Arr553848933le_alt @ Aa )
            & ( is_Arr553848933le_alt @ Ba ) )
         => ( ( Aa != Ba )
           => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ Pa ) @ arrow_413697182e_Prof ) )
             => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ P_1 ) @ arrow_413697182e_Prof ) )
               => ( ! [I: $i] :
                      ( ( is_Arr625519182e_indi @ I )
                     => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_A1374816149t_bool @ Pa @ I ) ) )
                      <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Ba @ Aa ) ) @ ( hAPP_A1374816149t_bool @ P_1 @ I ) ) ) ) )
                 => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_f695124765t_bool @ f @ Pa ) ) )
                  <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Ba @ Aa ) ) @ ( hAPP_f695124765t_bool @ f @ P_1 ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[228]) ).

thf(553,plain,
    ( ( ! [P_1: $i,Pa: $i,A_8: $i,B_8: $i,Aa: $i,Ba: $i] :
          ( ( ( is_Arr553848933le_alt @ A_8 )
            & ( is_Arr553848933le_alt @ B_8 )
            & ( is_Arr553848933le_alt @ Aa )
            & ( is_Arr553848933le_alt @ Ba ) )
         => ( ( Aa != Ba )
           => ( ( A_8 != B_8 )
             => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ Pa ) @ arrow_413697182e_Prof ) )
               => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ P_1 ) @ arrow_413697182e_Prof ) )
                 => ( ! [I: $i] :
                        ( ( is_Arr625519182e_indi @ I )
                       => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_A1374816149t_bool @ Pa @ I ) ) )
                        <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_8 @ B_8 ) ) @ ( hAPP_A1374816149t_bool @ P_1 @ I ) ) ) ) )
                   => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_f695124765t_bool @ f @ Pa ) ) )
                    <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_8 @ B_8 ) ) @ ( hAPP_f695124765t_bool @ f @ P_1 ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[229]) ).

thf(554,plain,
    ( ( ! [P_1: $i,Pa: $i,Ca: $i,Aa: $i,Ba: $i] :
          ( ( ( is_Arr553848933le_alt @ Ca )
            & ( is_Arr553848933le_alt @ Aa )
            & ( is_Arr553848933le_alt @ Ba ) )
         => ( ( Aa != Ba )
           => ( ( Ba != Ca )
             => ( ( Aa != Ca )
               => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ Pa ) @ arrow_413697182e_Prof ) )
                 => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ P_1 ) @ arrow_413697182e_Prof ) )
                   => ( ! [I: $i] :
                          ( ( is_Arr625519182e_indi @ I )
                         => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_A1374816149t_bool @ Pa @ I ) ) )
                          <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Ba @ Ca ) ) @ ( hAPP_A1374816149t_bool @ P_1 @ I ) ) ) ) )
                     => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_f695124765t_bool @ f @ Pa ) ) )
                      <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Ba @ Ca ) ) @ ( hAPP_f695124765t_bool @ f @ P_1 ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[230]) ).

thf(555,plain,
    ( ( ! [P_1: $i,Pa: $i,A_8: $i,B_8: $i,Aa: $i,Ba: $i] :
          ( ( ( is_Arr553848933le_alt @ A_8 )
            & ( is_Arr553848933le_alt @ B_8 )
            & ( is_Arr553848933le_alt @ Aa )
            & ( is_Arr553848933le_alt @ Ba ) )
         => ( ( Aa != Ba )
           => ( ( A_8 != B_8 )
             => ( ( Aa != B_8 )
               => ( ( Ba != A_8 )
                 => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ Pa ) @ arrow_413697182e_Prof ) )
                   => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ P_1 ) @ arrow_413697182e_Prof ) )
                     => ( ! [I: $i] :
                            ( ( is_Arr625519182e_indi @ I )
                           => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_A1374816149t_bool @ Pa @ I ) ) )
                            <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_8 @ B_8 ) ) @ ( hAPP_A1374816149t_bool @ P_1 @ I ) ) ) ) )
                       => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_f695124765t_bool @ f @ Pa ) ) )
                         => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_8 @ B_8 ) ) @ ( hAPP_f695124765t_bool @ f @ P_1 ) ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[231]) ).

thf(556,plain,
    ( ( ! [P_1: $i,Pa: $i,A_8: $i,B_8: $i,Aa: $i,Ba: $i] :
          ( ( ( is_Arr553848933le_alt @ A_8 )
            & ( is_Arr553848933le_alt @ B_8 )
            & ( is_Arr553848933le_alt @ Aa )
            & ( is_Arr553848933le_alt @ Ba ) )
         => ( ( Aa != Ba )
           => ( ( A_8 != B_8 )
             => ( ( Aa != B_8 )
               => ( ( Ba != A_8 )
                 => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ Pa ) @ arrow_413697182e_Prof ) )
                   => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ P_1 ) @ arrow_413697182e_Prof ) )
                     => ( ! [I: $i] :
                            ( ( is_Arr625519182e_indi @ I )
                           => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_A1374816149t_bool @ Pa @ I ) ) )
                            <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_8 @ B_8 ) ) @ ( hAPP_A1374816149t_bool @ P_1 @ I ) ) ) ) )
                       => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_f695124765t_bool @ f @ Pa ) ) )
                        <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_8 @ B_8 ) ) @ ( hAPP_f695124765t_bool @ f @ P_1 ) ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[232]) ).

thf(557,plain,
    ( ( ! [X_2: $i,Y_1: $i,L: $i,Z_1: $i] :
          ( ( ( is_Arr553848933le_alt @ X_2 )
            & ( is_Arr553848933le_alt @ Y_1 )
            & ( is_Arr553848933le_alt @ Z_1 ) )
         => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Y_1 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ L ) @ Z_1 ) ) )
          <=> ( ( X_2 != Z_1 )
              & ( ( Y_1 = Z_1 )
               => ( X_2 != Y_1 ) )
              & ( ( Y_1 != Z_1 )
               => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Y_1 ) ) @ L ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[233]) ).

thf(558,plain,
    ( ( ! [X_2: $i,Y_1: $i,L: $i,Z_1: $i] :
          ( ( ( is_Arr553848933le_alt @ X_2 )
            & ( is_Arr553848933le_alt @ Y_1 )
            & ( is_Arr553848933le_alt @ Z_1 ) )
         => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Y_1 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ L ) @ Z_1 ) ) )
          <=> ( ( Y_1 != Z_1 )
              & ( ( X_2 = Z_1 )
               => ( X_2 != Y_1 ) )
              & ( ( X_2 != Z_1 )
               => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Y_1 ) ) @ L ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[234]) ).

thf(559,plain,
    ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ p ) @ arrow_413697182e_Prof ) )
    = $true ),
    inference(unfold_def,[status(thm)],[235]) ).

thf(560,plain,
    ( ( c != d )
    = $true ),
    inference(unfold_def,[status(thm)],[236]) ).

thf(561,plain,
    ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ f ) )
    = $true ),
    inference(unfold_def,[status(thm)],[237]) ).

thf(562,plain,
    ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ f ) )
    = $true ),
    inference(unfold_def,[status(thm)],[238]) ).

thf(563,plain,
    ( ( is_Arr553848933le_alt @ e )
    = $true ),
    inference(unfold_def,[status(thm)],[239]) ).

thf(564,plain,
    ( ( is_Arr553848933le_alt @ b )
    = $true ),
    inference(unfold_def,[status(thm)],[240]) ).

thf(565,plain,
    ( ( is_Arr553848933le_alt @ a )
    = $true ),
    inference(unfold_def,[status(thm)],[241]) ).

thf(566,plain,
    ( ( is_fun282293932t_bool @ lba )
    = $true ),
    inference(unfold_def,[status(thm)],[242]) ).

thf(567,plain,
    ( ( is_fun282293932t_bool @ lab )
    = $true ),
    inference(unfold_def,[status(thm)],[243]) ).

thf(568,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_fun917378774i_bool @ ( hAPP_P907763049i_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[244]) ).

thf(569,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun282293932t_bool @ B_1_1 )
         => ( is_bool @ ( hAPP_P2075002375t_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[245]) ).

thf(570,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_Arr625519182e_indi @ ( hAPP_P2024088443e_indi @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[246]) ).

thf(571,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun282293932t_bool @ B_2_1 )
         => ( is_fun282293932t_bool @ ( hAPP_f1673487381t_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[247]) ).

thf(572,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun282293932t_bool @ B_2_1 )
         => ( is_fun432044380l_bool @ ( hAPP_f2056167603l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[248]) ).

thf(573,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun282293932t_bool @ B_2_1 )
         => ( is_fun917378774i_bool @ ( hAPP_f352490559i_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[249]) ).

thf(574,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun282293932t_bool @ B_2_1 )
         => ( is_Arr625519182e_indi @ ( hAPP_f1659504677e_indi @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[250]) ).

thf(575,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun432044380l_bool @ B_2_1 )
         => ( is_bool @ ( hAPP_f503012287l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[251]) ).

thf(576,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f460310451l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[252]) ).

thf(577,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f526292585l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[253]) ).

thf(578,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f592909149l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[254]) ).

thf(579,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1279200745l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[255]) ).

thf(580,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1766869725l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[256]) ).

thf(581,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun631676118l_bool @ B_2_1 )
         => ( is_bool @ ( hAPP_f213304539l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[257]) ).

thf(582,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f500145249l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[258]) ).

thf(583,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f234874197l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[259]) ).

thf(584,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1895985727l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[260]) ).

thf(585,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1550037191l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[261]) ).

thf(586,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1271180905l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[262]) ).

thf(587,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1018082273l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[263]) ).

thf(588,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f483434675l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[264]) ).

thf(589,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_fun917378774i_bool @ ( hAPP_f355113919i_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[265]) ).

thf(590,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun631676118l_bool @ B_1_1 )
         => ( is_bool @ ( hAPP_f785543729l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[266]) ).

thf(591,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_Arr625519182e_indi @ ( hAPP_f618619045e_indi @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[267]) ).

thf(592,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun959573582l_bool @ B_2_1 )
         => ( is_bool @ ( hAPP_f453661011l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[268]) ).

thf(593,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1012384989l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[269]) ).

thf(594,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f204273237l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[270]) ).

thf(595,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f387058535l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[271]) ).

thf(596,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_fun432044380l_bool @ ( hAPP_f861484971l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[272]) ).

thf(597,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_fun917378774i_bool @ ( hAPP_f749892423i_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[273]) ).

thf(598,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun959573582l_bool @ B_1_1 )
         => ( is_bool @ ( hAPP_f1636546729l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[274]) ).

thf(599,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_Arr625519182e_indi @ ( hAPP_f1818473245e_indi @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[275]) ).

thf(600,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun917378774i_bool @ B_2_1 )
         => ( is_bool @ ( hAPP_f919661787l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[276]) ).

thf(601,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_nat_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[277]) ).

thf(602,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun1016509681e_indi @ B_1_1 )
         => ( is_Arr625519182e_indi @ ( hAPP_n385347014e_indi @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[278]) ).

thf(603,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_bool @ B_2_1 )
         => ( is_fun282293932t_bool @ ( hAPP_b1024867081t_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[279]) ).

thf(604,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_bool @ B_2_1 )
         => ( is_fun432044380l_bool @ ( hAPP_b1965422783l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[280]) ).

thf(605,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_bool @ B_2_1 )
         => ( is_fun631676118l_bool @ ( hAPP_b990649139l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[281]) ).

thf(606,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_bool @ B_2_1 )
         => ( is_fun959573582l_bool @ ( hAPP_b1719629739l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[282]) ).

thf(607,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_bool @ B_2_1 )
         => ( is_fun917378774i_bool @ ( hAPP_b1018211123i_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[283]) ).

thf(608,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_bool @ B_2_1 )
         => ( is_bool @ ( hAPP_bool_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[284]) ).

thf(609,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_Arr625519182e_indi @ B_2_1 )
         => ( is_fun282293932t_bool @ ( hAPP_A1374816149t_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[285]) ).

thf(610,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_Arr625519182e_indi @ B_2_1 )
         => ( is_fun432044380l_bool @ ( hAPP_A1944296755l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[286]) ).

thf(611,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_Arr625519182e_indi @ B_2_1 )
         => ( is_fun631676118l_bool @ ( hAPP_A1964572607l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[287]) ).

thf(612,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_Arr625519182e_indi @ B_2_1 )
         => ( is_fun959573582l_bool @ ( hAPP_A1912483895l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[288]) ).

thf(613,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( ( is_fun917378774i_bool @ B_1_1 )
            & ( is_Arr625519182e_indi @ B_2_1 ) )
         => ( is_bool @ ( hAPP_A1466488369i_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[289]) ).

thf(614,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_Arr553848933le_alt @ B_2_1 )
         => ( is_fun282293932t_bool @ ( hAPP_A619995676t_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[290]) ).

thf(615,plain,
    ( ( is_bool @ fTrue )
    = $true ),
    inference(unfold_def,[status(thm)],[291]) ).

thf(616,plain,
    ( ( is_bool @ fFalse )
    = $true ),
    inference(unfold_def,[status(thm)],[292]) ).

thf(617,plain,
    ( ( ! [B_1_1: $i] :
          ( ( is_fun282293932t_bool @ B_1_1 )
         => ( is_fun282293932t_bool @ ( collec1711870802le_alt @ B_1_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[293]) ).

thf(618,plain,
    ( ( ! [B_1_1: $i] :
          ( ( is_fun432044380l_bool @ B_1_1 )
         => ( is_fun432044380l_bool @ ( collec874260222t_bool @ B_1_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[294]) ).

thf(619,plain,
    ( ( ! [B_1_1: $i] :
          ( ( is_fun631676118l_bool @ B_1_1 )
         => ( is_fun631676118l_bool @ ( collec1520786044t_bool @ B_1_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[295]) ).

thf(620,plain,
    ( ( ! [B_1_1: $i] :
          ( ( is_fun959573582l_bool @ B_1_1 )
         => ( is_fun959573582l_bool @ ( collec1580242420t_bool @ B_1_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[296]) ).

thf(621,plain,
    ( ( ! [B_1_1: $i] :
          ( ( is_fun917378774i_bool @ B_1_1 )
         => ( is_fun917378774i_bool @ ( collec45183100e_indi @ B_1_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[297]) ).

thf(622,plain,
    ( ( is_fun282293932t_bool @ top_to2034604131t_bool )
    = $true ),
    inference(unfold_def,[status(thm)],[298]) ).

thf(623,plain,
    ( ( is_fun432044380l_bool @ top_to2005687013l_bool )
    = $true ),
    inference(unfold_def,[status(thm)],[299]) ).

thf(624,plain,
    ( ( is_fun631676118l_bool @ top_to40512653l_bool )
    = $true ),
    inference(unfold_def,[status(thm)],[300]) ).

thf(625,plain,
    ( ( is_fun959573582l_bool @ top_to1194196741l_bool )
    = $true ),
    inference(unfold_def,[status(thm)],[301]) ).

thf(626,plain,
    ( ( is_fun917378774i_bool @ top_to1256827021i_bool )
    = $true ),
    inference(unfold_def,[status(thm)],[302]) ).

thf(627,plain,
    ( ( is_bool @ top_top_bool )
    = $true ),
    inference(unfold_def,[status(thm)],[303]) ).

thf(628,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun917378774i_bool @ B_1_1 )
         => ( is_fun1016509681e_indi @ ( hilber1792103167di_nat @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[304]) ).

thf(629,plain,
    ( ( is_fun282293932t_bool @ ( undefi802509179t_bool @ ( fun @ ( product_prod @ arrow_1812558424le_alt @ arrow_1812558424le_alt ) @ bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[305]) ).

thf(630,plain,
    ( ( is_Arr625519182e_indi @ ( undefi818645567e_indi @ arrow_2110637339e_indi ) )
    = $true ),
    inference(unfold_def,[status(thm)],[306]) ).

thf(631,plain,
    ( ( is_Arr553848933le_alt @ ( undefi1301554228le_alt @ arrow_1812558424le_alt ) )
    = $true ),
    inference(unfold_def,[status(thm)],[307]) ).

thf(632,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun282293932t_bool @ B_1_1 )
         => ( is_fun432044380l_bool @ ( pi_Pro2135156861t_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[308]) ).

thf(633,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun959573582l_bool @ B_1_1 )
         => ( is_fun631676118l_bool @ ( pi_fun433100839t_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[309]) ).

thf(634,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun917378774i_bool @ B_1_1 )
         => ( is_fun959573582l_bool @ ( pi_Arr688267935t_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[310]) ).

thf(635,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun917378774i_bool @ B_2_1 )
         => ( is_bool @ ( inj_on24934938di_nat @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[311]) ).

thf(636,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_fun917378774i_bool @ ( cOMBC_277798809t_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[312]) ).

thf(637,plain,
    ( ( is_fun631676118l_bool @ arrow_467566751nimity )
    = $true ),
    inference(unfold_def,[status(thm)],[313]) ).

thf(638,plain,
    ( ( is_fun959573582l_bool @ arrow_413697182e_Prof )
    = $true ),
    inference(unfold_def,[status(thm)],[314]) ).

thf(639,plain,
    ( ( is_fun432044380l_bool @ arrow_1239002508le_Lin )
    = $true ),
    inference(unfold_def,[status(thm)],[315]) ).

thf(640,plain,
    ( ( is_fun631676118l_bool @ arrow_1212118780le_IIA )
    = $true ),
    inference(unfold_def,[status(thm)],[316]) ).

thf(641,plain,
    ( ( is_Arr553848933le_alt @ d )
    = $true ),
    inference(unfold_def,[status(thm)],[317]) ).

thf(642,plain,
    ( ( is_Arr553848933le_alt @ c )
    = $true ),
    inference(unfold_def,[status(thm)],[318]) ).

thf(643,plain,
    ( ( ! [B_1_1: $i] : ( is_fun432044380l_bool @ ( member1056080916le_alt @ B_1_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[319]) ).

thf(644,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( ( is_fun432044380l_bool @ B_1_1 )
            & ( is_fun282293932t_bool @ B_2_1 ) )
         => ( is_bool @ ( hAPP_f745298353l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[320]) ).

thf(645,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_fun282293932t_bool @ ( hAPP_f695124765t_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[321]) ).

thf(646,plain,
    ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ p ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[324]) ).

thf(647,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_fun282293932t_bool @ ( hAPP_f695124765t_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[645]) ).

thf(648,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( ( is_fun432044380l_bool @ B_1_1 )
            & ( is_fun282293932t_bool @ B_2_1 ) )
         => ( is_bool @ ( hAPP_f745298353l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[644]) ).

thf(649,plain,
    ( ( ! [B_1_1: $i] : ( is_fun432044380l_bool @ ( member1056080916le_alt @ B_1_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[643]) ).

thf(650,plain,
    ( ( is_Arr553848933le_alt @ c )
    = $true ),
    inference(copy,[status(thm)],[642]) ).

thf(651,plain,
    ( ( is_Arr553848933le_alt @ d )
    = $true ),
    inference(copy,[status(thm)],[641]) ).

thf(652,plain,
    ( ( is_fun631676118l_bool @ arrow_1212118780le_IIA )
    = $true ),
    inference(copy,[status(thm)],[640]) ).

thf(653,plain,
    ( ( is_fun432044380l_bool @ arrow_1239002508le_Lin )
    = $true ),
    inference(copy,[status(thm)],[639]) ).

thf(654,plain,
    ( ( is_fun959573582l_bool @ arrow_413697182e_Prof )
    = $true ),
    inference(copy,[status(thm)],[638]) ).

thf(655,plain,
    ( ( is_fun631676118l_bool @ arrow_467566751nimity )
    = $true ),
    inference(copy,[status(thm)],[637]) ).

thf(656,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_fun917378774i_bool @ ( cOMBC_277798809t_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[636]) ).

thf(657,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun917378774i_bool @ B_2_1 )
         => ( is_bool @ ( inj_on24934938di_nat @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[635]) ).

thf(658,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun917378774i_bool @ B_1_1 )
         => ( is_fun959573582l_bool @ ( pi_Arr688267935t_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[634]) ).

thf(659,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun959573582l_bool @ B_1_1 )
         => ( is_fun631676118l_bool @ ( pi_fun433100839t_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[633]) ).

thf(660,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun282293932t_bool @ B_1_1 )
         => ( is_fun432044380l_bool @ ( pi_Pro2135156861t_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[632]) ).

thf(661,plain,
    ( ( is_Arr553848933le_alt @ ( undefi1301554228le_alt @ arrow_1812558424le_alt ) )
    = $true ),
    inference(copy,[status(thm)],[631]) ).

thf(662,plain,
    ( ( is_Arr625519182e_indi @ ( undefi818645567e_indi @ arrow_2110637339e_indi ) )
    = $true ),
    inference(copy,[status(thm)],[630]) ).

thf(663,plain,
    ( ( is_fun282293932t_bool @ ( undefi802509179t_bool @ ( fun @ ( product_prod @ arrow_1812558424le_alt @ arrow_1812558424le_alt ) @ bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[629]) ).

thf(664,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun917378774i_bool @ B_1_1 )
         => ( is_fun1016509681e_indi @ ( hilber1792103167di_nat @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[628]) ).

thf(665,plain,
    ( ( is_bool @ top_top_bool )
    = $true ),
    inference(copy,[status(thm)],[627]) ).

thf(666,plain,
    ( ( is_fun917378774i_bool @ top_to1256827021i_bool )
    = $true ),
    inference(copy,[status(thm)],[626]) ).

thf(667,plain,
    ( ( is_fun959573582l_bool @ top_to1194196741l_bool )
    = $true ),
    inference(copy,[status(thm)],[625]) ).

thf(668,plain,
    ( ( is_fun631676118l_bool @ top_to40512653l_bool )
    = $true ),
    inference(copy,[status(thm)],[624]) ).

thf(669,plain,
    ( ( is_fun432044380l_bool @ top_to2005687013l_bool )
    = $true ),
    inference(copy,[status(thm)],[623]) ).

thf(670,plain,
    ( ( is_fun282293932t_bool @ top_to2034604131t_bool )
    = $true ),
    inference(copy,[status(thm)],[622]) ).

thf(671,plain,
    ( ( ! [B_1_1: $i] :
          ( ( is_fun917378774i_bool @ B_1_1 )
         => ( is_fun917378774i_bool @ ( collec45183100e_indi @ B_1_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[621]) ).

thf(672,plain,
    ( ( ! [B_1_1: $i] :
          ( ( is_fun959573582l_bool @ B_1_1 )
         => ( is_fun959573582l_bool @ ( collec1580242420t_bool @ B_1_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[620]) ).

thf(673,plain,
    ( ( ! [B_1_1: $i] :
          ( ( is_fun631676118l_bool @ B_1_1 )
         => ( is_fun631676118l_bool @ ( collec1520786044t_bool @ B_1_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[619]) ).

thf(674,plain,
    ( ( ! [B_1_1: $i] :
          ( ( is_fun432044380l_bool @ B_1_1 )
         => ( is_fun432044380l_bool @ ( collec874260222t_bool @ B_1_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[618]) ).

thf(675,plain,
    ( ( ! [B_1_1: $i] :
          ( ( is_fun282293932t_bool @ B_1_1 )
         => ( is_fun282293932t_bool @ ( collec1711870802le_alt @ B_1_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[617]) ).

thf(676,plain,
    ( ( is_bool @ fFalse )
    = $true ),
    inference(copy,[status(thm)],[616]) ).

thf(677,plain,
    ( ( is_bool @ fTrue )
    = $true ),
    inference(copy,[status(thm)],[615]) ).

thf(678,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_Arr553848933le_alt @ B_2_1 )
         => ( is_fun282293932t_bool @ ( hAPP_A619995676t_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[614]) ).

thf(679,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( ( is_fun917378774i_bool @ B_1_1 )
            & ( is_Arr625519182e_indi @ B_2_1 ) )
         => ( is_bool @ ( hAPP_A1466488369i_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[613]) ).

thf(680,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_Arr625519182e_indi @ B_2_1 )
         => ( is_fun959573582l_bool @ ( hAPP_A1912483895l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[612]) ).

thf(681,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_Arr625519182e_indi @ B_2_1 )
         => ( is_fun631676118l_bool @ ( hAPP_A1964572607l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[611]) ).

thf(682,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_Arr625519182e_indi @ B_2_1 )
         => ( is_fun432044380l_bool @ ( hAPP_A1944296755l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[610]) ).

thf(683,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_Arr625519182e_indi @ B_2_1 )
         => ( is_fun282293932t_bool @ ( hAPP_A1374816149t_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[609]) ).

thf(684,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_bool @ B_2_1 )
         => ( is_bool @ ( hAPP_bool_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[608]) ).

thf(685,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_bool @ B_2_1 )
         => ( is_fun917378774i_bool @ ( hAPP_b1018211123i_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[607]) ).

thf(686,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_bool @ B_2_1 )
         => ( is_fun959573582l_bool @ ( hAPP_b1719629739l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[606]) ).

thf(687,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_bool @ B_2_1 )
         => ( is_fun631676118l_bool @ ( hAPP_b990649139l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[605]) ).

thf(688,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_bool @ B_2_1 )
         => ( is_fun432044380l_bool @ ( hAPP_b1965422783l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[604]) ).

thf(689,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_bool @ B_2_1 )
         => ( is_fun282293932t_bool @ ( hAPP_b1024867081t_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[603]) ).

thf(690,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun1016509681e_indi @ B_1_1 )
         => ( is_Arr625519182e_indi @ ( hAPP_n385347014e_indi @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[602]) ).

thf(691,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_nat_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[601]) ).

thf(692,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun917378774i_bool @ B_2_1 )
         => ( is_bool @ ( hAPP_f919661787l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[600]) ).

thf(693,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_Arr625519182e_indi @ ( hAPP_f1818473245e_indi @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[599]) ).

thf(694,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun959573582l_bool @ B_1_1 )
         => ( is_bool @ ( hAPP_f1636546729l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[598]) ).

thf(695,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_fun917378774i_bool @ ( hAPP_f749892423i_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[597]) ).

thf(696,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_fun432044380l_bool @ ( hAPP_f861484971l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[596]) ).

thf(697,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f387058535l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[595]) ).

thf(698,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f204273237l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[594]) ).

thf(699,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1012384989l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[593]) ).

thf(700,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun959573582l_bool @ B_2_1 )
         => ( is_bool @ ( hAPP_f453661011l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[592]) ).

thf(701,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_Arr625519182e_indi @ ( hAPP_f618619045e_indi @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[591]) ).

thf(702,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun631676118l_bool @ B_1_1 )
         => ( is_bool @ ( hAPP_f785543729l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[590]) ).

thf(703,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_fun917378774i_bool @ ( hAPP_f355113919i_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[589]) ).

thf(704,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f483434675l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[588]) ).

thf(705,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1018082273l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[587]) ).

thf(706,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1271180905l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[586]) ).

thf(707,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1550037191l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[585]) ).

thf(708,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1895985727l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[584]) ).

thf(709,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f234874197l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[583]) ).

thf(710,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f500145249l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[582]) ).

thf(711,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun631676118l_bool @ B_2_1 )
         => ( is_bool @ ( hAPP_f213304539l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[581]) ).

thf(712,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1766869725l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[580]) ).

thf(713,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1279200745l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[579]) ).

thf(714,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f592909149l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[578]) ).

thf(715,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f526292585l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[577]) ).

thf(716,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f460310451l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[576]) ).

thf(717,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun432044380l_bool @ B_2_1 )
         => ( is_bool @ ( hAPP_f503012287l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[575]) ).

thf(718,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun282293932t_bool @ B_2_1 )
         => ( is_Arr625519182e_indi @ ( hAPP_f1659504677e_indi @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[574]) ).

thf(719,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun282293932t_bool @ B_2_1 )
         => ( is_fun917378774i_bool @ ( hAPP_f352490559i_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[573]) ).

thf(720,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun282293932t_bool @ B_2_1 )
         => ( is_fun432044380l_bool @ ( hAPP_f2056167603l_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[572]) ).

thf(721,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun282293932t_bool @ B_2_1 )
         => ( is_fun282293932t_bool @ ( hAPP_f1673487381t_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[571]) ).

thf(722,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_Arr625519182e_indi @ ( hAPP_P2024088443e_indi @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[570]) ).

thf(723,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] :
          ( ( is_fun282293932t_bool @ B_1_1 )
         => ( is_bool @ ( hAPP_P2075002375t_bool @ B_1_1 @ B_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[569]) ).

thf(724,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_fun917378774i_bool @ ( hAPP_P907763049i_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[568]) ).

thf(725,plain,
    ( ( is_fun282293932t_bool @ lab )
    = $true ),
    inference(copy,[status(thm)],[567]) ).

thf(726,plain,
    ( ( is_fun282293932t_bool @ lba )
    = $true ),
    inference(copy,[status(thm)],[566]) ).

thf(727,plain,
    ( ( is_Arr553848933le_alt @ a )
    = $true ),
    inference(copy,[status(thm)],[565]) ).

thf(728,plain,
    ( ( is_Arr553848933le_alt @ b )
    = $true ),
    inference(copy,[status(thm)],[564]) ).

thf(729,plain,
    ( ( is_Arr553848933le_alt @ e )
    = $true ),
    inference(copy,[status(thm)],[563]) ).

thf(730,plain,
    ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ f ) )
    = $true ),
    inference(copy,[status(thm)],[562]) ).

thf(731,plain,
    ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ f ) )
    = $true ),
    inference(copy,[status(thm)],[561]) ).

thf(732,plain,
    ( ( c != d )
    = $true ),
    inference(copy,[status(thm)],[560]) ).

thf(733,plain,
    ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ p ) @ arrow_413697182e_Prof ) )
    = $true ),
    inference(copy,[status(thm)],[559]) ).

thf(734,plain,
    ( ( ! [X_2: $i,Y_1: $i,L: $i,Z_1: $i] :
          ( ( ( is_Arr553848933le_alt @ X_2 )
            & ( is_Arr553848933le_alt @ Y_1 )
            & ( is_Arr553848933le_alt @ Z_1 ) )
         => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Y_1 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ L ) @ Z_1 ) ) )
          <=> ( ( Y_1 != Z_1 )
              & ( ( X_2 = Z_1 )
               => ( X_2 != Y_1 ) )
              & ( ( X_2 != Z_1 )
               => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Y_1 ) ) @ L ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[558]) ).

thf(735,plain,
    ( ( ! [X_2: $i,Y_1: $i,L: $i,Z_1: $i] :
          ( ( ( is_Arr553848933le_alt @ X_2 )
            & ( is_Arr553848933le_alt @ Y_1 )
            & ( is_Arr553848933le_alt @ Z_1 ) )
         => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Y_1 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ L ) @ Z_1 ) ) )
          <=> ( ( X_2 != Z_1 )
              & ( ( Y_1 = Z_1 )
               => ( X_2 != Y_1 ) )
              & ( ( Y_1 != Z_1 )
               => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Y_1 ) ) @ L ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[557]) ).

thf(736,plain,
    ( ( ! [P_1: $i,Pa: $i,A_8: $i,B_8: $i,Aa: $i,Ba: $i] :
          ( ( ( is_Arr553848933le_alt @ A_8 )
            & ( is_Arr553848933le_alt @ B_8 )
            & ( is_Arr553848933le_alt @ Aa )
            & ( is_Arr553848933le_alt @ Ba ) )
         => ( ( Aa != Ba )
           => ( ( A_8 != B_8 )
             => ( ( Aa != B_8 )
               => ( ( Ba != A_8 )
                 => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ Pa ) @ arrow_413697182e_Prof ) )
                   => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ P_1 ) @ arrow_413697182e_Prof ) )
                     => ( ! [I: $i] :
                            ( ( is_Arr625519182e_indi @ I )
                           => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_A1374816149t_bool @ Pa @ I ) ) )
                            <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_8 @ B_8 ) ) @ ( hAPP_A1374816149t_bool @ P_1 @ I ) ) ) ) )
                       => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_f695124765t_bool @ f @ Pa ) ) )
                        <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_8 @ B_8 ) ) @ ( hAPP_f695124765t_bool @ f @ P_1 ) ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[556]) ).

thf(737,plain,
    ( ( ! [P_1: $i,Pa: $i,A_8: $i,B_8: $i,Aa: $i,Ba: $i] :
          ( ( ( is_Arr553848933le_alt @ A_8 )
            & ( is_Arr553848933le_alt @ B_8 )
            & ( is_Arr553848933le_alt @ Aa )
            & ( is_Arr553848933le_alt @ Ba ) )
         => ( ( Aa != Ba )
           => ( ( A_8 != B_8 )
             => ( ( Aa != B_8 )
               => ( ( Ba != A_8 )
                 => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ Pa ) @ arrow_413697182e_Prof ) )
                   => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ P_1 ) @ arrow_413697182e_Prof ) )
                     => ( ! [I: $i] :
                            ( ( is_Arr625519182e_indi @ I )
                           => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_A1374816149t_bool @ Pa @ I ) ) )
                            <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_8 @ B_8 ) ) @ ( hAPP_A1374816149t_bool @ P_1 @ I ) ) ) ) )
                       => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_f695124765t_bool @ f @ Pa ) ) )
                         => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_8 @ B_8 ) ) @ ( hAPP_f695124765t_bool @ f @ P_1 ) ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[555]) ).

thf(738,plain,
    ( ( ! [P_1: $i,Pa: $i,Ca: $i,Aa: $i,Ba: $i] :
          ( ( ( is_Arr553848933le_alt @ Ca )
            & ( is_Arr553848933le_alt @ Aa )
            & ( is_Arr553848933le_alt @ Ba ) )
         => ( ( Aa != Ba )
           => ( ( Ba != Ca )
             => ( ( Aa != Ca )
               => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ Pa ) @ arrow_413697182e_Prof ) )
                 => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ P_1 ) @ arrow_413697182e_Prof ) )
                   => ( ! [I: $i] :
                          ( ( is_Arr625519182e_indi @ I )
                         => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_A1374816149t_bool @ Pa @ I ) ) )
                          <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Ba @ Ca ) ) @ ( hAPP_A1374816149t_bool @ P_1 @ I ) ) ) ) )
                     => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_f695124765t_bool @ f @ Pa ) ) )
                      <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Ba @ Ca ) ) @ ( hAPP_f695124765t_bool @ f @ P_1 ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[554]) ).

thf(739,plain,
    ( ( ! [P_1: $i,Pa: $i,A_8: $i,B_8: $i,Aa: $i,Ba: $i] :
          ( ( ( is_Arr553848933le_alt @ A_8 )
            & ( is_Arr553848933le_alt @ B_8 )
            & ( is_Arr553848933le_alt @ Aa )
            & ( is_Arr553848933le_alt @ Ba ) )
         => ( ( Aa != Ba )
           => ( ( A_8 != B_8 )
             => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ Pa ) @ arrow_413697182e_Prof ) )
               => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ P_1 ) @ arrow_413697182e_Prof ) )
                 => ( ! [I: $i] :
                        ( ( is_Arr625519182e_indi @ I )
                       => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_A1374816149t_bool @ Pa @ I ) ) )
                        <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_8 @ B_8 ) ) @ ( hAPP_A1374816149t_bool @ P_1 @ I ) ) ) ) )
                   => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_f695124765t_bool @ f @ Pa ) ) )
                    <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_8 @ B_8 ) ) @ ( hAPP_f695124765t_bool @ f @ P_1 ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[553]) ).

thf(740,plain,
    ( ( ! [P_1: $i,Pa: $i,Aa: $i,Ba: $i] :
          ( ( ( is_Arr553848933le_alt @ Aa )
            & ( is_Arr553848933le_alt @ Ba ) )
         => ( ( Aa != Ba )
           => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ Pa ) @ arrow_413697182e_Prof ) )
             => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ P_1 ) @ arrow_413697182e_Prof ) )
               => ( ! [I: $i] :
                      ( ( is_Arr625519182e_indi @ I )
                     => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_A1374816149t_bool @ Pa @ I ) ) )
                      <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Ba @ Aa ) ) @ ( hAPP_A1374816149t_bool @ P_1 @ I ) ) ) ) )
                 => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ ( hAPP_f695124765t_bool @ f @ Pa ) ) )
                  <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Ba @ Aa ) ) @ ( hAPP_f695124765t_bool @ f @ P_1 ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[552]) ).

thf(741,plain,
    ( ( ! [I: $i] :
          ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ I ) ) )
        <=> ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ I ) ) @ n ) )
             => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ I ) ) @ e ) ) ) )
            & ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ I ) ) @ n ) )
             => ( ( ( ( hAPP_A588601142di_nat @ h @ I )
                    = n )
                 => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ I ) ) @ c ) @ e ) ) ) )
                & ( ( ( hAPP_A588601142di_nat @ h @ I )
                   != n )
                 => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ I ) ) @ e ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[551]) ).

thf(742,plain,
    ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ h ) @ n ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[550]) ).

thf(743,plain,
    ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[549]) ).

thf(744,plain,
    ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ p ) ) )
    <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[548]) ).

thf(745,plain,
    ( ( ! [Pa: $i] :
          ( ! [X1: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ Pa @ X1 ) )
        <=> ! [A_1: $i,B_1: $i] :
              ( ( ( is_Arr553848933le_alt @ A_1 )
                & ( is_Arr553848933le_alt @ B_1 ) )
             => ( hBOOL @ ( hAPP_P2075002375t_bool @ Pa @ ( produc171383831le_alt @ A_1 @ B_1 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[547]) ).

thf(746,plain,
    ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) @ arrow_413697182e_Prof ) )
    = $true ),
    inference(copy,[status(thm)],[546]) ).

thf(747,plain,
    ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ e ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[545]) ).

thf(748,plain,
    ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[544]) ).

thf(749,plain,
    ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ n ) @ ( finite120254591e_indi @ top_to1256827021i_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[543]) ).

thf(750,plain,
    ( ( hBOOL @ ( inj_on24934938di_nat @ h @ top_to1256827021i_bool ) )
    = $true ),
    inference(copy,[status(thm)],[542]) ).

thf(751,plain,
    ( ( ! [A_10: $i,B_10: $i,A_9: $i,B_9: $i] :
          ( ( ( is_Arr553848933le_alt @ A_10 )
            & ( is_Arr553848933le_alt @ B_10 )
            & ( is_Arr553848933le_alt @ A_9 )
            & ( is_Arr553848933le_alt @ B_9 ) )
         => ( ( ( produc171383831le_alt @ A_10 @ B_10 )
              = ( produc171383831le_alt @ A_9 @ B_9 ) )
           => ~ ( ( A_10 = A_9 )
               => ( B_10 != B_9 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[541]) ).

thf(752,plain,
    ( ( ! [Aa: $i,Ba: $i,A_8: $i,B_8: $i] :
          ( ( ( is_Arr553848933le_alt @ Aa )
            & ( is_Arr553848933le_alt @ Ba )
            & ( is_Arr553848933le_alt @ A_8 )
            & ( is_Arr553848933le_alt @ B_8 ) )
         => ( ( ( produc171383831le_alt @ Aa @ Ba )
              = ( produc171383831le_alt @ A_8 @ B_8 ) )
          <=> ( ( Aa = A_8 )
              & ( Ba = B_8 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[540]) ).

thf(753,plain,
    ( ( ! [Fa: $i] :
          ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ Fa ) )
        <=> ! [X_1: $i] :
              ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_1 ) @ arrow_413697182e_Prof ) )
             => ! [Xa: $i] :
                  ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ Xa ) @ arrow_413697182e_Prof ) )
                 => ! [A_1: $i,B_1: $i] :
                      ( ( ( is_Arr553848933le_alt @ A_1 )
                        & ( is_Arr553848933le_alt @ B_1 ) )
                     => ( ! [I: $i] :
                            ( ( is_Arr625519182e_indi @ I )
                           => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_A1374816149t_bool @ X_1 @ I ) ) )
                            <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_A1374816149t_bool @ Xa @ I ) ) ) ) )
                       => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_f695124765t_bool @ Fa @ X_1 ) ) )
                        <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_f695124765t_bool @ Fa @ Xa ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[539]) ).

thf(754,plain,
    ( ( ! [Fa: $i] :
          ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ Fa ) )
        <=> ! [X_1: $i] :
              ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_1 ) @ arrow_413697182e_Prof ) )
             => ! [A_1: $i,B_1: $i] :
                  ( ( ( is_Arr553848933le_alt @ A_1 )
                    & ( is_Arr553848933le_alt @ B_1 ) )
                 => ( ! [I: $i] :
                        ( ( is_Arr625519182e_indi @ I )
                       => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_A1374816149t_bool @ X_1 @ I ) ) ) )
                   => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_f695124765t_bool @ Fa @ X_1 ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[538]) ).

thf(755,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f745298353l_bool @ top_to2005687013l_bool @ X_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[537]) ).

thf(756,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f1636546729l_bool @ top_to1194196741l_bool @ X_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[536]) ).

thf(757,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f785543729l_bool @ top_to40512653l_bool @ X_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[535]) ).

thf(758,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ top_to2034604131t_bool @ X_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[534]) ).

thf(759,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_A1466488369i_bool @ top_to1256827021i_bool @ X_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[533]) ).

thf(760,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ top_to1647826457l_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[532]) ).

thf(761,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ top_to1256827021i_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[531]) ).

thf(762,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ top_to2034604131t_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[530]) ).

thf(763,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ top_to1194196741l_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[529]) ).

thf(764,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ top_to40512653l_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[528]) ).

thf(765,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ top_to2005687013l_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[527]) ).

thf(766,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ top_to1647826457l_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[526]) ).

thf(767,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ top_to1256827021i_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[525]) ).

thf(768,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ top_to2034604131t_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[524]) ).

thf(769,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ top_to1194196741l_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[523]) ).

thf(770,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ top_to40512653l_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[522]) ).

thf(771,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ top_to2005687013l_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[521]) ).

thf(772,plain,
    ( ( ! [X_2: $i] :
          ( ( hBOOL @ ( hAPP_f745298353l_bool @ top_to2005687013l_bool @ X_2 ) )
        <=> ( hBOOL @ top_top_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[520]) ).

thf(773,plain,
    ( ( ! [X_2: $i] :
          ( ( hBOOL @ ( hAPP_f1636546729l_bool @ top_to1194196741l_bool @ X_2 ) )
        <=> ( hBOOL @ top_top_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[519]) ).

thf(774,plain,
    ( ( ! [X_2: $i] :
          ( ( hBOOL @ ( hAPP_f785543729l_bool @ top_to40512653l_bool @ X_2 ) )
        <=> ( hBOOL @ top_top_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[518]) ).

thf(775,plain,
    ( ( ! [X_2: $i] :
          ( ( hBOOL @ ( hAPP_P2075002375t_bool @ top_to2034604131t_bool @ X_2 ) )
        <=> ( hBOOL @ top_top_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[517]) ).

thf(776,plain,
    ( ( ! [X_2: $i] :
          ( ( hBOOL @ ( hAPP_A1466488369i_bool @ top_to1256827021i_bool @ X_2 ) )
        <=> ( hBOOL @ top_top_bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[516]) ).

thf(777,plain,
    ( ( ! [Aa: $i] :
          ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ top_to2005687013l_bool ) @ Aa ) ) )
    = $true ),
    inference(copy,[status(thm)],[515]) ).

thf(778,plain,
    ( ( ! [Aa: $i] :
          ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ top_to1194196741l_bool ) @ Aa ) ) )
    = $true ),
    inference(copy,[status(thm)],[514]) ).

thf(779,plain,
    ( ( ! [Aa: $i] :
          ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ top_to40512653l_bool ) @ Aa ) ) )
    = $true ),
    inference(copy,[status(thm)],[513]) ).

thf(780,plain,
    ( ( ! [Aa: $i] :
          ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ top_top_bool ) @ Aa ) ) )
    = $true ),
    inference(copy,[status(thm)],[512]) ).

thf(781,plain,
    ( ( ! [Aa: $i] :
          ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ top_to2034604131t_bool ) @ Aa ) ) )
    = $true ),
    inference(copy,[status(thm)],[511]) ).

thf(782,plain,
    ( ( ! [Aa: $i] :
          ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ top_to1256827021i_bool ) @ Aa ) ) )
    = $true ),
    inference(copy,[status(thm)],[510]) ).

thf(783,plain,
    ( ( ! [X_14: $i,Y_13: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_14 ) @ Y_13 ) )
         => ( ( X_14 != Y_13 )
           => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_13 ) @ X_14 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[509]) ).

thf(784,plain,
    ( ( ! [X_2: $i,Y_1: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
         => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Y_1 ) @ X_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[508]) ).

thf(785,plain,
    ( ( ! [X_13: $i,Y_12: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_13 ) @ Y_12 ) )
         => ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_12 ) @ X_13 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[507]) ).

thf(786,plain,
    ( ( ! [Z_1: $i,Y_1: $i,X_2: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Y_1 ) @ X_2 ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Z_1 ) @ Y_1 ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Z_1 ) @ X_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[506]) ).

thf(787,plain,
    ( ( ! [Z_2: $i,Y_11: $i,X_12: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_11 ) @ X_12 ) )
         => ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Z_2 ) @ Y_11 ) )
           => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Z_2 ) @ X_12 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[505]) ).

thf(788,plain,
    ( ( ! [Z_1: $i,X_2: $i,Y_1: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Y_1 ) @ Z_1 ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Z_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[504]) ).

thf(789,plain,
    ( ( ! [Z: $i,X_11: $i,Y_10: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_11 ) @ Y_10 ) )
         => ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_10 ) @ Z ) )
           => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_11 ) @ Z ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[503]) ).

thf(790,plain,
    ( ( ! [Ca: $i,Ba: $i,Aa: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Ba ) @ Aa ) )
         => ( ( Ba = Ca )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Ca ) @ Aa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[502]) ).

thf(791,plain,
    ( ( ! [C_3: $i,B_7: $i,A_7: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ B_7 ) @ A_7 ) )
         => ( ( B_7 = C_3 )
           => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ C_3 ) @ A_7 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[501]) ).

thf(792,plain,
    ( ( ! [Ca: $i,Aa: $i,Ba: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Aa ) @ Ba ) )
         => ( ( Ba = Ca )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Aa ) @ Ca ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[500]) ).

thf(793,plain,
    ( ( ! [C_2: $i,A_6: $i,B_6: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ A_6 ) @ B_6 ) )
         => ( ( B_6 = C_2 )
           => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ A_6 ) @ C_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[499]) ).

thf(794,plain,
    ( ( ! [Ca: $i,Aa: $i,Ba: $i] :
          ( ( Aa = Ba )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Ca ) @ Ba ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Ca ) @ Aa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[498]) ).

thf(795,plain,
    ( ( ! [C_1: $i,A_5: $i,B_5: $i] :
          ( ( A_5 = B_5 )
         => ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ C_1 ) @ B_5 ) )
           => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ C_1 ) @ A_5 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[497]) ).

thf(796,plain,
    ( ( ! [Ca: $i,Aa: $i,Ba: $i] :
          ( ( Aa = Ba )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Ba ) @ Ca ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Aa ) @ Ca ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[496]) ).

thf(797,plain,
    ( ( ! [C: $i,A_4: $i,B_4: $i] :
          ( ( A_4 = B_4 )
         => ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ B_4 ) @ C ) )
           => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ A_4 ) @ C ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[495]) ).

thf(798,plain,
    ( ( ! [Ba: $i,Aa: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Ba ) @ Aa ) )
         => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Aa ) @ Ba ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[494]) ).

thf(799,plain,
    ( ( ! [B_3: $i,A_3: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ B_3 ) @ A_3 ) )
         => ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ A_3 ) @ B_3 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[493]) ).

thf(800,plain,
    ( ( ! [Aa: $i,Ba: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Aa ) @ Ba ) )
         => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Ba ) @ Aa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[492]) ).

thf(801,plain,
    ( ( ! [A_2: $i,B_2: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ A_2 ) @ B_2 ) )
         => ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ B_2 ) @ A_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[491]) ).

thf(802,plain,
    ( ( ! [Pa: $i,X_2: $i,Y_1: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Y_1 ) @ X_2 ) )
           => ( hBOOL @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[490]) ).

thf(803,plain,
    ( ( ! [Pa: $i,X_2: $i,Y_1: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_2 ) @ Y_1 ) )
         => ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_1 ) @ X_2 ) )
           => ( hBOOL @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[489]) ).

thf(804,plain,
    ( ( ! [X_2: $i,Y_1: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
         => ( Y_1 != X_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[488]) ).

thf(805,plain,
    ( ( ! [X_10: $i,Y_9: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_10 ) @ Y_9 ) )
         => ( Y_9 != X_10 ) ) )
    = $true ),
    inference(copy,[status(thm)],[487]) ).

thf(806,plain,
    ( ( ! [X_2: $i,Y_1: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
         => ( X_2 != Y_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[486]) ).

thf(807,plain,
    ( ( ! [X_9: $i,Y_8: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_9 ) @ Y_8 ) )
         => ( X_9 != Y_8 ) ) )
    = $true ),
    inference(copy,[status(thm)],[485]) ).

thf(808,plain,
    ( ( ! [X_2: $i,Y_1: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
         => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Y_1 ) @ X_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[484]) ).

thf(809,plain,
    ( ( ! [X_8: $i,Y_7: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_8 ) @ Y_7 ) )
         => ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_7 ) @ X_8 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[483]) ).

thf(810,plain,
    ( ( ! [X_2: $i,Y_1: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
         => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Y_1 ) @ X_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[482]) ).

thf(811,plain,
    ( ( ! [X_7: $i,Y_6: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_7 ) @ Y_6 ) )
         => ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_6 ) @ X_7 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[481]) ).

thf(812,plain,
    ( ( ! [X_2: $i,Y_1: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ Y_1 ) )
         => ( X_2 != Y_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[480]) ).

thf(813,plain,
    ( ( ! [X_6: $i,Y_5: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_6 ) @ Y_5 ) )
         => ( X_6 != Y_5 ) ) )
    = $true ),
    inference(copy,[status(thm)],[479]) ).

thf(814,plain,
    ( ( ! [X_5: $i,Y_4: $i] :
          ( ( X_5 != Y_4 )
         => ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_5 ) @ Y_4 ) )
           => ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_4 ) @ X_5 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[478]) ).

thf(815,plain,
    ( ( ! [Y_1: $i,X_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_1 ) @ X_2 ) )
         => ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_2 ) @ Y_1 ) )
          <=> ( X_2 = Y_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[477]) ).

thf(816,plain,
    ( ( ! [X_4: $i,Y_3: $i] :
          ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_4 ) @ Y_3 ) )
          | ( X_4 = Y_3 )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_3 ) @ X_4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[476]) ).

thf(817,plain,
    ( ( ! [X_2: $i,Y_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_2 ) @ Y_1 ) )
        <=> ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_1 ) @ X_2 ) )
            | ( X_2 = Y_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[475]) ).

thf(818,plain,
    ( ( ! [X_2: $i,Y_1: $i] :
          ( ( X_2 != Y_1 )
        <=> ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_2 ) @ Y_1 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ Y_1 ) @ X_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[474]) ).

thf(819,plain,
    ( ( ! [X_2: $i] :
          ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ X_2 ) @ X_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[473]) ).

thf(820,plain,
    ( ( ! [X_3: $i] :
          ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ X_3 ) @ X_3 ) ) )
    = $true ),
    inference(copy,[status(thm)],[472]) ).

thf(821,plain,
    ( ( top_to2005687013l_bool
      = ( collec874260222t_bool @ ( hAPP_b1965422783l_bool @ cOMBK_977355664t_bool @ fTrue ) ) )
    = $true ),
    inference(copy,[status(thm)],[471]) ).

thf(822,plain,
    ( ( top_to1194196741l_bool
      = ( collec1580242420t_bool @ ( hAPP_b1719629739l_bool @ cOMBK_789167586t_bool @ fTrue ) ) )
    = $true ),
    inference(copy,[status(thm)],[470]) ).

thf(823,plain,
    ( ( top_to40512653l_bool
      = ( collec1520786044t_bool @ ( hAPP_b990649139l_bool @ cOMBK_580911210t_bool @ fTrue ) ) )
    = $true ),
    inference(copy,[status(thm)],[469]) ).

thf(824,plain,
    ( ( top_to2034604131t_bool
      = ( collec1711870802le_alt @ ( hAPP_b1024867081t_bool @ cOMBK_2069093696le_alt @ fTrue ) ) )
    = $true ),
    inference(copy,[status(thm)],[468]) ).

thf(825,plain,
    ( ( top_to1256827021i_bool
      = ( collec45183100e_indi @ ( hAPP_b1018211123i_bool @ cOMBK_1157044842e_indi @ fTrue ) ) )
    = $true ),
    inference(copy,[status(thm)],[467]) ).

thf(826,plain,
    ( ( ! [S: $i,R_1: $i] :
          ( ( ( is_fun282293932t_bool @ S )
            & ( is_fun282293932t_bool @ R_1 ) )
         => ( ! [X_1: $i,Xa: $i] :
                ( ( ( is_Arr553848933le_alt @ X_1 )
                  & ( is_Arr553848933le_alt @ Xa ) )
               => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_1 @ Xa ) ) @ R_1 ) )
                <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_1 @ Xa ) ) @ S ) ) ) )
          <=> ( R_1 = S ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[466]) ).

thf(827,plain,
    ( ( ! [Aa: $i] :
          ( ( is_fun432044380l_bool @ Aa )
         => ( ( Aa != top_to2005687013l_bool )
          <=> ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ Aa ) @ top_to2005687013l_bool ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[465]) ).

thf(828,plain,
    ( ( ! [Aa: $i] :
          ( ( is_fun959573582l_bool @ Aa )
         => ( ( Aa != top_to1194196741l_bool )
          <=> ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ Aa ) @ top_to1194196741l_bool ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[464]) ).

thf(829,plain,
    ( ( ! [Aa: $i] :
          ( ( is_fun631676118l_bool @ Aa )
         => ( ( Aa != top_to40512653l_bool )
          <=> ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ Aa ) @ top_to40512653l_bool ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[463]) ).

thf(830,plain,
    ( ( ! [Aa: $i] :
          ( ~ ( ( hBOOL @ Aa )
            <=> ( hBOOL @ top_top_bool ) )
        <=> ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ Aa ) @ top_top_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[462]) ).

thf(831,plain,
    ( ( ! [Aa: $i] :
          ( ( is_fun282293932t_bool @ Aa )
         => ( ( Aa != top_to2034604131t_bool )
          <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ Aa ) @ top_to2034604131t_bool ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[461]) ).

thf(832,plain,
    ( ( ! [Aa: $i] :
          ( ( is_fun917378774i_bool @ Aa )
         => ( ( Aa != top_to1256827021i_bool )
          <=> ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ Aa ) @ top_to1256827021i_bool ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[460]) ).

thf(833,plain,
    ( ( ! [X_2: $i,Y_1: $i,F: $i] :
          ( ( is_Arr625519182e_indi @ X_2 )
         => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ top_to1256827021i_bool ) )
           => ( ( ( hAPP_A588601142di_nat @ F @ X_2 )
                = Y_1 )
             => ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ F ) @ Y_1 )
                = X_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[459]) ).

thf(834,plain,
    ( ( ! [X_2: $i,F: $i] :
          ( ( is_Arr625519182e_indi @ X_2 )
         => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ top_to1256827021i_bool ) )
           => ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ F ) @ ( hAPP_A588601142di_nat @ F @ X_2 ) )
              = X_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[458]) ).

thf(835,plain,
    ( ( ! [X_2: $i,F: $i,A: $i] :
          ( ( is_Arr625519182e_indi @ X_2 )
         => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ A ) )
           => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
             => ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ A @ F ) @ ( hAPP_A588601142di_nat @ F @ X_2 ) )
                = X_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[457]) ).

thf(836,plain,
    ( ( ! [Y_1: $i,X_2: $i,F: $i,A: $i] :
          ( ( is_Arr625519182e_indi @ X_2 )
         => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ A ) )
           => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
             => ( ( ( hAPP_A588601142di_nat @ F @ X_2 )
                  = Y_1 )
               => ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ A @ F ) @ Y_1 )
                  = X_2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[456]) ).

thf(837,plain,
    ( ( ! [X_2: $i,Y_1: $i,F: $i] :
          ( ( ( is_Arr625519182e_indi @ X_2 )
            & ( is_Arr625519182e_indi @ Y_1 ) )
         => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ top_to1256827021i_bool ) )
           => ( ( ( hAPP_A588601142di_nat @ F @ X_2 )
                = ( hAPP_A588601142di_nat @ F @ Y_1 ) )
            <=> ( X_2 = Y_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[455]) ).

thf(838,plain,
    ( ( ! [F: $i,A: $i] :
          ( ( hBOOL @ ( inj_on24934938di_nat @ F @ A ) )
        <=> ! [X_1: $i] :
              ( ( is_Arr625519182e_indi @ X_1 )
             => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_1 ) @ A ) )
               => ! [Xa: $i] :
                    ( ( is_Arr625519182e_indi @ Xa )
                   => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ Xa ) @ A ) )
                     => ( ( ( hAPP_A588601142di_nat @ F @ X_1 )
                          = ( hAPP_A588601142di_nat @ F @ Xa ) )
                       => ( X_1 = Xa ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[454]) ).

thf(839,plain,
    ( ( ! [X_2: $i,Y_1: $i,F: $i,A: $i] :
          ( ( ( is_Arr625519182e_indi @ X_2 )
            & ( is_Arr625519182e_indi @ Y_1 ) )
         => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ A ) )
           => ( ( X_2 != Y_1 )
             => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
               => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ Y_1 ) @ A ) )
                 => ( ( hAPP_A588601142di_nat @ F @ X_2 )
                   != ( hAPP_A588601142di_nat @ F @ Y_1 ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[453]) ).

thf(840,plain,
    ( ( ! [Y_1: $i,X_2: $i,F: $i,A: $i] :
          ( ( ( is_Arr625519182e_indi @ Y_1 )
            & ( is_Arr625519182e_indi @ X_2 ) )
         => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ A ) )
           => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
             => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ Y_1 ) @ A ) )
               => ( ( ( hAPP_A588601142di_nat @ F @ X_2 )
                    = ( hAPP_A588601142di_nat @ F @ Y_1 ) )
                <=> ( X_2 = Y_1 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[452]) ).

thf(841,plain,
    ( ( ! [X_2: $i,Y_1: $i,F: $i,A: $i] :
          ( ( ( is_Arr625519182e_indi @ X_2 )
            & ( is_Arr625519182e_indi @ Y_1 ) )
         => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ A ) )
           => ( ( ( hAPP_A588601142di_nat @ F @ X_2 )
                = ( hAPP_A588601142di_nat @ F @ Y_1 ) )
             => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
               => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ Y_1 ) @ A ) )
                 => ( X_2 = Y_1 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[451]) ).

thf(842,plain,
    ( ( ! [X_2: $i,Y_1: $i,F: $i] :
          ( ( ( is_Arr625519182e_indi @ X_2 )
            & ( is_Arr625519182e_indi @ Y_1 ) )
         => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ top_to1256827021i_bool ) )
           => ( ( ( hAPP_A588601142di_nat @ F @ X_2 )
                = ( hAPP_A588601142di_nat @ F @ Y_1 ) )
             => ( X_2 = Y_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[450]) ).

thf(843,plain,
    ( ( ! [G: $i,F: $i] :
          ( ( is_fun1016509681e_indi @ G )
         => ( ( hBOOL @ ( inj_on24934938di_nat @ F @ top_to1256827021i_bool ) )
           => ( ! [X_1: $i] :
                  ( ( hAPP_A588601142di_nat @ F @ ( hAPP_n385347014e_indi @ G @ X_1 ) )
                  = X_1 )
             => ( ( hilber1792103167di_nat @ top_to1256827021i_bool @ F )
                = G ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[449]) ).

thf(844,plain,
    ( ( ! [F: $i] :
          ( ! [X_1: $i,Y_2: $i] :
              ( ( ( is_Arr625519182e_indi @ X_1 )
                & ( is_Arr625519182e_indi @ Y_2 ) )
             => ( ( ( hAPP_A588601142di_nat @ F @ X_1 )
                  = ( hAPP_A588601142di_nat @ F @ Y_2 ) )
               => ( X_1 = Y_2 ) ) )
         => ( hBOOL @ ( inj_on24934938di_nat @ F @ top_to1256827021i_bool ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[448]) ).

thf(845,plain,
    ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ f ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[447]) ).

thf(846,plain,
    ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ lba ) @ arrow_1239002508le_Lin ) )
    = $true ),
    inference(copy,[status(thm)],[446]) ).

thf(847,plain,
    ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ lab ) @ arrow_1239002508le_Lin ) )
    = $true ),
    inference(copy,[status(thm)],[445]) ).

thf(848,plain,
    ( ( ! [Aa: $i,Ba: $i,L: $i] :
          ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ L ) @ arrow_1239002508le_Lin ) )
         => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ L ) )
           => ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Ba @ Aa ) ) @ L ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[444]) ).

thf(849,plain,
    ( ( ! [X_2: $i,Y_1: $i,L: $i] :
          ( ( ( is_Arr553848933le_alt @ X_2 )
            & ( is_Arr553848933le_alt @ Y_1 ) )
         => ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ L ) @ arrow_1239002508le_Lin ) )
           => ( ( X_2 != Y_1 )
             => ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Y_1 ) ) @ L ) )
              <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Y_1 @ X_2 ) ) @ L ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[443]) ).

thf(850,plain,
    ( ( ! [X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
        <=> ( hBOOL @ ( hAPP_A1466488369i_bool @ A @ X_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[442]) ).

thf(851,plain,
    ( ( ! [X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
        <=> ( hBOOL @ ( hAPP_bool_bool @ A @ X_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[441]) ).

thf(852,plain,
    ( ( ! [X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ A ) )
        <=> ( hBOOL @ ( hAPP_P2075002375t_bool @ A @ X_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[440]) ).

thf(853,plain,
    ( ( ! [X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) )
        <=> ( hBOOL @ ( hAPP_f1636546729l_bool @ A @ X_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[439]) ).

thf(854,plain,
    ( ( ! [X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ A ) )
        <=> ( hBOOL @ ( hAPP_f785543729l_bool @ A @ X_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[438]) ).

thf(855,plain,
    ( ( ! [X_2: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ A ) )
        <=> ( hBOOL @ ( hAPP_f745298353l_bool @ A @ X_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[437]) ).

thf(856,plain,
    ( ( ! [Pa: $i] :
          ( ( is_fun917378774i_bool @ Pa )
         => ( ( collec45183100e_indi @ Pa )
            = Pa ) ) )
    = $true ),
    inference(copy,[status(thm)],[436]) ).

thf(857,plain,
    ( ( ! [X_2: $i,L: $i] :
          ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ L ) @ arrow_1239002508le_Lin ) )
         => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ L ) @ X_2 ) ) @ arrow_1239002508le_Lin ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[435]) ).

thf(858,plain,
    ( ( ! [X_2: $i,L: $i] :
          ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ L ) @ arrow_1239002508le_Lin ) )
         => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ L ) @ X_2 ) ) @ arrow_1239002508le_Lin ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[434]) ).

thf(859,plain,
    ( ( ! [L: $i,X_2: $i,Y_1: $i] :
          ( ( ( is_Arr553848933le_alt @ X_2 )
            & ( is_Arr553848933le_alt @ Y_1 ) )
         => ( ( X_2 != Y_1 )
           => ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ L ) @ arrow_1239002508le_Lin ) )
             => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ L ) @ X_2 ) @ Y_1 ) ) @ arrow_1239002508le_Lin ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[433]) ).

thf(860,plain,
    ( ( ! [L: $i] :
          ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ L ) @ arrow_1239002508le_Lin ) )
         => ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ L ) ) @ arrow_413697182e_Prof ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[432]) ).

thf(861,plain,
    ( ( ! [X_2: $i,Y_1: $i,L: $i,Aa: $i,Ba: $i] :
          ( ( ( is_Arr553848933le_alt @ X_2 )
            & ( is_Arr553848933le_alt @ Y_1 )
            & ( is_Arr553848933le_alt @ Aa )
            & ( is_Arr553848933le_alt @ Ba ) )
         => ( ( Aa != Ba )
           => ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ L ) @ arrow_1239002508le_Lin ) )
             => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Y_1 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ L ) @ Aa ) @ Ba ) ) )
              <=> ( ( X_2 != Y_1 )
                  & ( ( X_2 = Ba )
                   => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Y_1 ) ) @ L ) ) )
                  & ( ( X_2 != Ba )
                   => ( ( ( Y_1 = Ba )
                       => ( ( X_2 = Aa )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Aa ) ) @ L ) ) ) )
                      & ( ( Y_1 != Ba )
                       => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ X_2 @ Y_1 ) ) @ L ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[431]) ).

thf(862,plain,
    ( ( ! [I_1: $i,Fa: $i] :
          ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ Fa ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
         => ( ! [X_1: $i] :
                ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_1 ) @ arrow_413697182e_Prof ) )
               => ! [A_1: $i,B_1: $i] :
                    ( ( ( is_Arr553848933le_alt @ A_1 )
                      & ( is_Arr553848933le_alt @ B_1 ) )
                   => ( ( A_1 != B_1 )
                     => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_A1374816149t_bool @ X_1 @ I_1 ) ) )
                       => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ A_1 @ B_1 ) ) @ ( hAPP_f695124765t_bool @ Fa @ X_1 ) ) ) ) ) ) )
           => ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ Fa ) @ I_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[430]) ).

thf(863,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ F ) @ ( pi_Pro2135156861t_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ F @ X_2 ) ) @ ( hAPP_P2127852789l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[429]) ).

thf(864,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ F ) @ ( pi_Arr149813489le_alt @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ F @ X_2 ) ) @ ( hAPP_A1374816149t_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[428]) ).

thf(865,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ F ) @ ( pi_boo1877522301le_alt @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ F @ X_2 ) ) @ ( hAPP_b1024867081t_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[427]) ).

thf(866,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ F ) @ ( pi_Arr1511953043t_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ F @ X_2 ) ) @ ( hAPP_A1912483895l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[426]) ).

thf(867,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ F ) @ ( pi_boo691944735t_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ F @ X_2 ) ) @ ( hAPP_b1719629739l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[425]) ).

thf(868,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ F ) @ ( pi_Arr372473371t_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ F @ X_2 ) ) @ ( hAPP_A1964572607l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[424]) ).

thf(869,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ F ) @ ( pi_boo71521447t_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ F @ X_2 ) ) @ ( hAPP_b990649139l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[423]) ).

thf(870,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ F ) @ ( pi_boo2007389459t_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ F @ X_2 ) ) @ ( hAPP_b1965422783l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[422]) ).

thf(871,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ F ) @ ( pi_Pro437273841e_indi @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ F @ X_2 ) ) @ ( hAPP_P907763049i_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[421]) ).

thf(872,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ F ) @ ( pi_fun1736243859e_indi @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ F @ X_2 ) ) @ ( hAPP_f749892423i_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[420]) ).

thf(873,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ F ) @ ( pi_fun1494794527l_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ F @ X_2 ) ) @ ( hAPP_f313042899l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[419]) ).

thf(874,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ F ) @ ( pi_fun2075749915e_indi @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ F @ X_2 ) ) @ ( hAPP_f355113919i_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[418]) ).

thf(875,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ F ) @ ( pi_fun525942951l_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ F @ X_2 ) ) @ ( hAPP_f497468491l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[417]) ).

thf(876,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ F ) @ ( pi_fun972956463e_indi @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ F @ X_2 ) ) @ ( hAPP_f352490559i_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[416]) ).

thf(877,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ F ) @ ( pi_fun1727820731l_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ F @ X_2 ) ) @ ( hAPP_f417299659l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[415]) ).

thf(878,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ F ) @ ( pi_fun433100839t_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ F @ X_2 ) ) @ ( hAPP_f861484971l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[414]) ).

thf(879,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ F ) @ ( pi_Arr688267935t_bool @ A @ B ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ F @ X_2 ) ) @ ( hAPP_A1944296755l_bool @ B @ X_2 ) ) )
           => ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[413]) ).

thf(880,plain,
    ( ( ! [Aa: $i,Ba: $i] :
          ( ( ( is_Arr553848933le_alt @ Aa )
            & ( is_Arr553848933le_alt @ Ba ) )
         => ( ( Aa != Ba )
           => ? [X_1: $i] :
                ( ( is_fun282293932t_bool @ X_1 )
                & ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_1 ) @ arrow_1239002508le_Lin ) )
                & ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ Aa @ Ba ) ) @ X_1 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[412]) ).

thf(881,plain,
    ( ( ! [Na: $i] : ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( cOMBC_437064334t_bool @ ( cOMBC_481590946t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ Na ) ) @ lab ) @ lba ) ) @ arrow_413697182e_Prof ) ) )
    = $true ),
    inference(copy,[status(thm)],[411]) ).

thf(882,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ F ) @ ( pi_Pro2135156861t_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ F @ X_2 ) ) @ ( hAPP_P2127852789l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[410]) ).

thf(883,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ F ) @ ( pi_Pro437273841e_indi @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ F @ X_2 ) ) @ ( hAPP_P907763049i_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[409]) ).

thf(884,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ F ) @ ( pi_fun1736243859e_indi @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ F @ X_2 ) ) @ ( hAPP_f749892423i_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[408]) ).

thf(885,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ F ) @ ( pi_fun1494794527l_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ F @ X_2 ) ) @ ( hAPP_f313042899l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[407]) ).

thf(886,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ F ) @ ( pi_fun2075749915e_indi @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ F @ X_2 ) ) @ ( hAPP_f355113919i_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[406]) ).

thf(887,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ F ) @ ( pi_fun525942951l_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ F @ X_2 ) ) @ ( hAPP_f497468491l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[405]) ).

thf(888,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ F ) @ ( pi_fun972956463e_indi @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ F @ X_2 ) ) @ ( hAPP_f352490559i_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[404]) ).

thf(889,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ F ) @ ( pi_fun1727820731l_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ F @ X_2 ) ) @ ( hAPP_f417299659l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[403]) ).

thf(890,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ F ) @ ( pi_Arr149813489le_alt @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ F @ X_2 ) ) @ ( hAPP_A1374816149t_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[402]) ).

thf(891,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ F ) @ ( pi_boo1877522301le_alt @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ F @ X_2 ) ) @ ( hAPP_b1024867081t_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[401]) ).

thf(892,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ F ) @ ( pi_Arr1511953043t_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ F @ X_2 ) ) @ ( hAPP_A1912483895l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[400]) ).

thf(893,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ F ) @ ( pi_boo691944735t_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ F @ X_2 ) ) @ ( hAPP_b1719629739l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[399]) ).

thf(894,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ F ) @ ( pi_Arr372473371t_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ F @ X_2 ) ) @ ( hAPP_A1964572607l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[398]) ).

thf(895,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ F ) @ ( pi_boo71521447t_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ F @ X_2 ) ) @ ( hAPP_b990649139l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[397]) ).

thf(896,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ F ) @ ( pi_boo2007389459t_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ F @ X_2 ) ) @ ( hAPP_b1965422783l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[396]) ).

thf(897,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ F ) @ ( pi_fun433100839t_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ F @ X_2 ) ) @ ( hAPP_f861484971l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[395]) ).

thf(898,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ F ) @ ( pi_Arr688267935t_bool @ A @ B ) ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ F @ X_2 ) ) @ ( hAPP_A1944296755l_bool @ B @ X_2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[394]) ).

thf(899,plain,
    ( ( arrow_413697182e_Prof
      = ( pi_Arr688267935t_bool @ top_to1256827021i_bool @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ arrow_1239002508le_Lin ) ) )
    = $true ),
    inference(copy,[status(thm)],[393]) ).

thf(900,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ F ) @ ( pi_Pro2135156861t_bool @ A @ ( hAPP_f1724001331l_bool @ cOMBK_2008994872le_alt @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[392]) ).

thf(901,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ F ) @ ( pi_Pro437273841e_indi @ A @ ( hAPP_f1970593179i_bool @ cOMBK_100791596le_alt @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[391]) ).

thf(902,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ F ) @ ( pi_fun1736243859e_indi @ A @ ( hAPP_f681113465i_bool @ cOMBK_454107598t_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[390]) ).

thf(903,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ F ) @ ( pi_fun1494794527l_bool @ A @ ( hAPP_f219827985l_bool @ cOMBK_886533338t_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[389]) ).

thf(904,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ F ) @ ( pi_fun2075749915e_indi @ A @ ( hAPP_f1677452273i_bool @ cOMBK_1372975190t_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[388]) ).

thf(905,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ F ) @ ( pi_fun525942951l_bool @ A @ ( hAPP_f1235573641l_bool @ cOMBK_1072228194t_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[387]) ).

thf(906,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ F ) @ ( pi_fun972956463e_indi @ A @ ( hAPP_f1903519657i_bool @ cOMBK_2076140708t_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[386]) ).

thf(907,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ F ) @ ( pi_fun1727820731l_bool @ A @ ( hAPP_f1667233577l_bool @ cOMBK_1015076504t_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[385]) ).

thf(908,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ F ) @ ( pi_Arr149813489le_alt @ A @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[384]) ).

thf(909,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ F ) @ ( pi_boo1877522301le_alt @ A @ ( hAPP_f1520552209t_bool @ cOMBK_697786936l_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[383]) ).

thf(910,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ F ) @ ( pi_Arr1511953043t_bool @ A @ ( hAPP_f813556705l_bool @ cOMBK_116240846e_indi @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[382]) ).

thf(911,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ F ) @ ( pi_boo691944735t_bool @ A @ ( hAPP_f371807573l_bool @ cOMBK_697604314l_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[381]) ).

thf(912,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ F ) @ ( pi_Arr372473371t_bool @ A @ ( hAPP_f1697527281l_bool @ cOMBK_1292462166e_indi @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[380]) ).

thf(913,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ F ) @ ( pi_boo71521447t_bool @ A @ ( hAPP_f448497509l_bool @ cOMBK_1268833122l_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[379]) ).

thf(914,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ F ) @ ( pi_boo2007389459t_bool @ A @ ( hAPP_f2135750719l_bool @ cOMBK_971068024l_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[378]) ).

thf(915,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ F ) @ ( pi_fun433100839t_bool @ A @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[377]) ).

thf(916,plain,
    ( ( ! [X_2: $i,F: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ F ) @ ( pi_Arr688267935t_bool @ A @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ B ) ) ) )
         => ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ X_2 ) @ A ) )
           => ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ F @ X_2 ) ) @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[376]) ).

thf(917,plain,
    ( ( ! [Fa: $i,I_1: $i] :
          ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ Fa ) @ I_1 ) )
        <=> ! [X_1: $i] :
              ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ X_1 ) @ arrow_413697182e_Prof ) )
             => ( ( hAPP_f695124765t_bool @ Fa @ X_1 )
                = ( hAPP_A1374816149t_bool @ X_1 @ I_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[375]) ).

thf(918,plain,
    ( ( ! [A: $i] :
          ( ( pi_Pro2135156861t_bool @ A @ ( hAPP_f1724001331l_bool @ cOMBK_2008994872le_alt @ top_to1647826457l_bool ) )
          = top_to2005687013l_bool ) )
    = $true ),
    inference(copy,[status(thm)],[374]) ).

thf(919,plain,
    ( ( ! [A: $i] :
          ( ( pi_fun433100839t_bool @ A @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ top_to2005687013l_bool ) )
          = top_to40512653l_bool ) )
    = $true ),
    inference(copy,[status(thm)],[373]) ).

thf(920,plain,
    ( ( ! [A: $i] :
          ( ( pi_Arr688267935t_bool @ A @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ top_to2005687013l_bool ) )
          = top_to1194196741l_bool ) )
    = $true ),
    inference(copy,[status(thm)],[372]) ).

thf(921,plain,
    ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
    <=> ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBC_437064334t_bool @ ( cOMBC_481590946t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ lab ) @ lba ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[371]) ).

thf(922,plain,
    ( ( ! [I: $i] :
          ( ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ I ) ) @ n ) )
             => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ I ) ) @ e ) ) ) )
            & ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ I ) ) @ n ) )
             => ( ( ( ( hAPP_A588601142di_nat @ h @ I )
                    = n )
                 => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ I ) ) @ c ) @ e ) ) ) )
                & ( ( ( hAPP_A588601142di_nat @ h @ I )
                   != n )
                 => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ I ) ) @ e ) ) ) ) ) ) )
        <=> ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ I ) ) @ n ) )
             => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
            & ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ I ) ) @ n ) )
             => ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[370]) ).

thf(923,plain,
    ( ( a != b )
    = $true ),
    inference(copy,[status(thm)],[369]) ).

thf(924,plain,
    ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
    = $true ),
    inference(copy,[status(thm)],[368]) ).

thf(925,plain,
    ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ a @ b ) ) @ lab ) )
    = $true ),
    inference(copy,[status(thm)],[367]) ).

thf(926,plain,
    ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ a @ b ) ) @ lba ) ) )
    = $true ),
    inference(copy,[status(thm)],[366]) ).

thf(927,plain,
    ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
    = $true ),
    inference(copy,[status(thm)],[365]) ).

thf(928,plain,
    ( ( hBOOL @ fTrue )
    = $true ),
    inference(copy,[status(thm)],[364]) ).

thf(929,plain,
    ( ( ! [P: $i] :
          ( ( is_bool @ P )
         => ( ( P = fTrue )
            | ( P = fFalse ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[363]) ).

thf(930,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ fequal_nat @ X ) @ Y ) )
          | ( X = Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[362]) ).

thf(931,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ fequal_nat @ X ) @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[361]) ).

thf(932,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_bool @ P )
         => ( ( hAPP_A1466488369i_bool @ ( hAPP_b1018211123i_bool @ cOMBK_1157044842e_indi @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(copy,[status(thm)],[360]) ).

thf(933,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A1466488369i_bool @ ( cOMBC_277798809t_bool @ P @ Q ) @ R )
          = ( hAPP_nat_bool @ ( hAPP_A1922697556t_bool @ P @ R ) @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[359]) ).

thf(934,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A1922697556t_bool @ ( cOMBB_317992461e_indi @ P @ Q ) @ R )
          = ( hAPP_n1699378549t_bool @ P @ ( hAPP_A588601142di_nat @ Q @ R ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[358]) ).

thf(935,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_bool @ P )
         => ( ( hAPP_P2075002375t_bool @ ( hAPP_b1024867081t_bool @ cOMBK_2069093696le_alt @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(copy,[status(thm)],[357]) ).

thf(936,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( is_fun282293932t_bool @ X )
         => ( ( hAPP_f1673487381t_bool @ ( hAPP_f159424297t_bool @ ( hAPP_b1915039793t_bool @ if_fun1419651289t_bool @ fTrue ) @ X ) @ Y )
            = X ) ) )
    = $true ),
    inference(copy,[status(thm)],[356]) ).

thf(937,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( is_fun282293932t_bool @ Y )
         => ( ( hAPP_f1673487381t_bool @ ( hAPP_f159424297t_bool @ ( hAPP_b1915039793t_bool @ if_fun1419651289t_bool @ fFalse ) @ X ) @ Y )
            = Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[355]) ).

thf(938,plain,
    ( ( ! [P: $i] :
          ( ( is_bool @ P )
         => ( ( P = fTrue )
            | ( P = fFalse ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[354]) ).

thf(939,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_bool @ P )
         => ( ( hAPP_f745298353l_bool @ ( hAPP_b1965422783l_bool @ cOMBK_977355664t_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(copy,[status(thm)],[353]) ).

thf(940,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( hAPP_P2127852789l_bool @ ( hAPP_f1724001331l_bool @ cOMBK_2008994872le_alt @ P ) @ Q )
          = P ) )
    = $true ),
    inference(copy,[status(thm)],[352]) ).

thf(941,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun282293932t_bool @ P )
         => ( ( hAPP_b1024867081t_bool @ ( hAPP_f1520552209t_bool @ cOMBK_697786936l_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(copy,[status(thm)],[351]) ).

thf(942,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( hAPP_f417299659l_bool @ ( hAPP_f1667233577l_bool @ cOMBK_1015076504t_bool @ P ) @ Q )
          = P ) )
    = $true ),
    inference(copy,[status(thm)],[350]) ).

thf(943,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun432044380l_bool @ P )
         => ( ( hAPP_b1965422783l_bool @ ( hAPP_f2135750719l_bool @ cOMBK_971068024l_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(copy,[status(thm)],[349]) ).

thf(944,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun917378774i_bool @ P )
         => ( ( hAPP_P907763049i_bool @ ( hAPP_f1970593179i_bool @ cOMBK_100791596le_alt @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(copy,[status(thm)],[348]) ).

thf(945,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun282293932t_bool @ P )
         => ( ( hAPP_A1374816149t_bool @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(copy,[status(thm)],[347]) ).

thf(946,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_bool @ P )
         => ( ( hAPP_f1636546729l_bool @ ( hAPP_b1719629739l_bool @ cOMBK_789167586t_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(copy,[status(thm)],[346]) ).

thf(947,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun917378774i_bool @ P )
         => ( ( hAPP_f352490559i_bool @ ( hAPP_f1903519657i_bool @ cOMBK_2076140708t_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(copy,[status(thm)],[345]) ).

thf(948,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun432044380l_bool @ P )
         => ( ( hAPP_A1944296755l_bool @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(copy,[status(thm)],[344]) ).

thf(949,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( hAPP_f313042899l_bool @ ( hAPP_f219827985l_bool @ cOMBK_886533338t_bool @ P ) @ Q )
          = P ) )
    = $true ),
    inference(copy,[status(thm)],[343]) ).

thf(950,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun959573582l_bool @ P )
         => ( ( hAPP_b1719629739l_bool @ ( hAPP_f371807573l_bool @ cOMBK_697604314l_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(copy,[status(thm)],[342]) ).

thf(951,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A1374816149t_bool @ ( cOMBC_1778077589t_bool @ P @ Q ) @ R )
          = ( hAPP_A619995676t_bool @ ( hAPP_A702630576t_bool @ P @ R ) @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[341]) ).

thf(952,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun917378774i_bool @ P )
         => ( ( hAPP_f749892423i_bool @ ( hAPP_f681113465i_bool @ cOMBK_454107598t_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(copy,[status(thm)],[340]) ).

thf(953,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun959573582l_bool @ P )
         => ( ( hAPP_A1912483895l_bool @ ( hAPP_f813556705l_bool @ cOMBK_116240846e_indi @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(copy,[status(thm)],[339]) ).

thf(954,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A702630576t_bool @ ( cOMBC_493523632t_bool @ P @ Q ) @ R )
          = ( hAPP_A384644407t_bool @ ( hAPP_A460042315t_bool @ P @ R ) @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[338]) ).

thf(955,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A1374816149t_bool @ ( cOMBC_437064334t_bool @ P @ Q ) @ R )
          = ( hAPP_f1673487381t_bool @ ( hAPP_A1333445289t_bool @ P @ R ) @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[337]) ).

thf(956,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A1374816149t_bool @ ( cOMBS_867867294t_bool @ P @ Q ) @ R )
          = ( hAPP_f1673487381t_bool @ ( hAPP_A1333445289t_bool @ P @ R ) @ ( hAPP_A1374816149t_bool @ Q @ R ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[336]) ).

thf(957,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_bool @ P )
         => ( ( hAPP_f785543729l_bool @ ( hAPP_b990649139l_bool @ cOMBK_580911210t_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(copy,[status(thm)],[335]) ).

thf(958,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun432044380l_bool @ P )
         => ( ( hAPP_f861484971l_bool @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(copy,[status(thm)],[334]) ).

thf(959,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( hAPP_f497468491l_bool @ ( hAPP_f1235573641l_bool @ cOMBK_1072228194t_bool @ P ) @ Q )
          = P ) )
    = $true ),
    inference(copy,[status(thm)],[333]) ).

thf(960,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun631676118l_bool @ P )
         => ( ( hAPP_b990649139l_bool @ ( hAPP_f448497509l_bool @ cOMBK_1268833122l_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(copy,[status(thm)],[332]) ).

thf(961,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A702630576t_bool @ ( cOMBB_1292070696e_indi @ P @ Q ) @ R )
          = ( hAPP_f1290184496t_bool @ P @ ( hAPP_A1374816149t_bool @ Q @ R ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[331]) ).

thf(962,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun917378774i_bool @ P )
         => ( ( hAPP_f355113919i_bool @ ( hAPP_f1677452273i_bool @ cOMBK_1372975190t_bool @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(copy,[status(thm)],[330]) ).

thf(963,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( is_fun631676118l_bool @ P )
         => ( ( hAPP_A1964572607l_bool @ ( hAPP_f1697527281l_bool @ cOMBK_1292462166e_indi @ P ) @ Q )
            = P ) ) )
    = $true ),
    inference(copy,[status(thm)],[329]) ).

thf(964,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A460042315t_bool @ ( cOMBB_69933763e_indi @ P @ Q ) @ R )
          = ( hAPP_f1336478923t_bool @ P @ ( hAPP_A1374816149t_bool @ Q @ R ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[328]) ).

thf(965,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A1333445289t_bool @ ( cOMBC_481590946t_bool @ P @ Q ) @ R )
          = ( hAPP_f159424297t_bool @ ( hAPP_A869356733t_bool @ P @ R ) @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[327]) ).

thf(966,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A1333445289t_bool @ ( cOMBS_102864562t_bool @ P @ Q ) @ R )
          = ( hAPP_f159424297t_bool @ ( hAPP_A869356733t_bool @ P @ R ) @ ( hAPP_A1374816149t_bool @ Q @ R ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[326]) ).

thf(967,plain,
    ( ( ! [P: $i,Q: $i,R: $i] :
          ( ( hAPP_A869356733t_bool @ ( cOMBB_963584201e_indi @ P @ Q ) @ R )
          = ( hAPP_b1915039793t_bool @ P @ ( hAPP_A1466488369i_bool @ Q @ R ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[325]) ).

thf(968,plain,
    ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ p ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[646]) ).

thf(969,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SX1 ) @ ( pi_boo1877522301le_alt @ SX2 @ SX3 ) ) )
          | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SX1 @ SX0 ) ) @ ( hAPP_b1024867081t_bool @ SX3 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[891]) ).

thf(970,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun282293932t_bool @ SX0 )
          | ( ( hAPP_f1673487381t_bool @ ( hAPP_f159424297t_bool @ ( hAPP_b1915039793t_bool @ if_fun1419651289t_bool @ fTrue ) @ SX0 ) @ SX1 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[936]) ).

thf(971,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_bool @ SX0 )
          | ( ( hAPP_f785543729l_bool @ ( hAPP_b990649139l_bool @ cOMBK_580911210t_bool @ SX0 ) @ SX1 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[957]) ).

thf(972,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SX1 ) @ ( pi_boo71521447t_bool @ SX2 @ SX3 ) ) )
          | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SX1 @ SX0 ) ) @ ( hAPP_b990649139l_bool @ SX3 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[895]) ).

thf(973,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SX1 ) @ ( pi_fun1736243859e_indi @ SX2 @ SX3 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SX1 @ SX0 ) ) @ ( hAPP_f749892423i_bool @ SX3 @ SX0 ) ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[872]) ).

thf(974,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX2 )
                            | ~ ( is_Arr553848933le_alt @ SX3 ) )
                      | ~ ( is_Arr553848933le_alt @ SX4 ) )
                | ~ ( is_Arr553848933le_alt @ SX5 ) )
          | ~ ( ( SX4 != SX5 ) )
          | ~ ( ( SX2 != SX3 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX1 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX0 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SX6: $i] :
                ( ~ ( is_Arr625519182e_indi @ SX6 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX4 @ SX5 ) ) @ ( hAPP_A1374816149t_bool @ SX1 @ SX6 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ ( hAPP_A1374816149t_bool @ SX0 @ SX6 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ ( hAPP_A1374816149t_bool @ SX0 @ SX6 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX4 @ SX5 ) ) @ ( hAPP_A1374816149t_bool @ SX1 @ SX6 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX4 @ SX5 ) ) @ ( hAPP_f695124765t_bool @ f @ SX1 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ ( hAPP_f695124765t_bool @ f @ SX0 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ ( hAPP_f695124765t_bool @ f @ SX0 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX4 @ SX5 ) ) @ ( hAPP_f695124765t_bool @ f @ SX1 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[739]) ).

thf(975,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( ~ ( hBOOL @ ( hAPP_P2075002375t_bool @ top_to2034604131t_bool @ SX0 ) )
                | ( hBOOL @ top_top_bool ) )
            | ~ ( ~ ( hBOOL @ top_top_bool )
                | ( hBOOL @ ( hAPP_P2075002375t_bool @ top_to2034604131t_bool @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[775]) ).

thf(976,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ( is_fun917378774i_bool @ SX0 )
                | ~ ( is_Arr625519182e_indi @ SX1 ) )
          | ( is_bool @ ( hAPP_A1466488369i_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[679]) ).

thf(977,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SX1 ) @ ( pi_fun433100839t_bool @ SX2 @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ SX3 ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SX1 @ SX0 ) ) @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[915]) ).

thf(978,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun631676118l_bool @ SX0 )
          | ( ( hAPP_b990649139l_bool @ ( hAPP_f448497509l_bool @ cOMBK_1268833122l_bool @ SX0 ) @ SX1 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[960]) ).

thf(979,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun959573582l_bool @ SX0 )
          | ( is_fun631676118l_bool @ ( pi_fun433100839t_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[659]) ).

thf(980,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ( is_fun432044380l_bool @ SX0 )
                | ~ ( is_fun282293932t_bool @ SX1 ) )
          | ( is_bool @ ( hAPP_f745298353l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[648]) ).

thf(981,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SX1 ) @ ( pi_fun2075749915e_indi @ SX2 @ ( hAPP_f1677452273i_bool @ cOMBK_1372975190t_bool @ SX3 ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SX1 @ SX0 ) ) @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[904]) ).

thf(982,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( is_Arr625519182e_indi @ SX1 )
          | ~ ( hBOOL @ ( inj_on24934938di_nat @ SX2 @ SX3 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX1 ) @ SX3 ) )
          | ( ( hAPP_A588601142di_nat @ SX2 @ SX1 )
           != SX0 )
          | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SX3 @ SX2 ) @ SX0 )
            = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[836]) ).

thf(983,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX0 )
                      | ~ ( is_Arr553848933le_alt @ SX1 ) )
                | ~ ( is_Arr553848933le_alt @ SX3 ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX0 @ SX1 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SX2 ) @ SX3 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SX1 != SX3 ) )
                            | ~ ( ( SX0 != SX3 )
                                | ( SX0 != SX1 ) ) )
                      | ~ ( ~ ( ( SX0 != SX3 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX0 @ SX1 ) ) @ SX2 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SX1 != SX3 ) )
                              | ~ ( ( SX0 != SX3 )
                                  | ( SX0 != SX1 ) ) )
                        | ~ ( ~ ( ( SX0 != SX3 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX0 @ SX1 ) ) @ SX2 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX0 @ SX1 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SX2 ) @ SX3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[734]) ).

thf(984,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun631676118l_bool @ SX1 )
          | ( is_bool @ ( hAPP_f213304539l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[711]) ).

thf(985,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SX1 ) @ arrow_1239002508le_Lin ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SX1 ) @ SX0 ) ) @ arrow_1239002508le_Lin ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[858]) ).

thf(986,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun917378774i_bool @ SX0 )
          | ( ( hAPP_f749892423i_bool @ ( hAPP_f681113465i_bool @ cOMBK_454107598t_bool @ SX0 ) @ SX1 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[952]) ).

thf(987,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SX2 ) @ arrow_1239002508le_Lin ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX0 @ SX1 ) ) @ SX2 ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX1 @ SX0 ) ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[848]) ).

thf(988,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SX1 ) @ ( pi_boo2007389459t_bool @ SX2 @ SX3 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SX1 @ SX0 ) ) @ ( hAPP_b1965422783l_bool @ SX3 @ SX0 ) ) )
          | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[870]) ).

thf(989,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_fun432044380l_bool @ SX0 )
          | ( is_fun432044380l_bool @ ( collec874260222t_bool @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[674]) ).

thf(990,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun282293932t_bool @ SX1 )
          | ( is_Arr625519182e_indi @ ( hAPP_f1659504677e_indi @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[718]) ).

thf(991,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ( SX1 != SX2 )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX2 ) @ SX0 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[796]) ).

thf(992,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SX1 ) @ ( pi_Arr149813489le_alt @ SX2 @ SX3 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SX1 @ SX0 ) ) @ ( hAPP_A1374816149t_bool @ SX3 @ SX0 ) ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[864]) ).

thf(993,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SX1 ) @ ( pi_boo71521447t_bool @ SX2 @ SX3 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SX1 @ SX0 ) ) @ ( hAPP_b990649139l_bool @ SX3 @ SX0 ) ) )
          | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[869]) ).

thf(994,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SX1 ) @ ( pi_Arr1511953043t_bool @ SX2 @ ( hAPP_f813556705l_bool @ cOMBK_116240846e_indi @ SX3 ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SX1 @ SX0 ) ) @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[910]) ).

thf(995,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun917378774i_bool @ SX1 )
          | ( is_bool @ ( hAPP_f919661787l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[692]) ).

thf(996,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SX1 ) @ ( pi_fun2075749915e_indi @ SX2 @ SX3 ) ) )
          | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SX1 @ SX0 ) ) @ ( hAPP_f355113919i_bool @ SX3 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[886]) ).

thf(997,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SX1 ) @ ( pi_fun1736243859e_indi @ SX2 @ SX3 ) ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SX1 @ SX0 ) ) @ ( hAPP_f749892423i_bool @ SX3 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[884]) ).

thf(998,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SX1 ) @ ( pi_Arr149813489le_alt @ SX2 @ SX3 ) ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SX1 @ SX0 ) ) @ ( hAPP_A1374816149t_bool @ SX3 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[890]) ).

thf(999,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun959573582l_bool @ SX1 )
          | ( is_bool @ ( hAPP_f453661011l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[700]) ).

thf(1000,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX1 ) @ SX2 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX2 ) @ SX0 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[788]) ).

thf(1001,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX0 ) @ SX1 ) )
          | ( SX1 != SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[805]) ).

thf(1002,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX0 ) @ SX1 ) )
          | ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX1 ) @ SX0 ) )
                  | ( SX1 = SX0 ) )
              | ~ ( ( SX1 != SX0 )
                  | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX1 ) @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[815]) ).

thf(1003,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX0 )
                            | ~ ( is_Arr553848933le_alt @ SX1 ) )
                      | ~ ( is_Arr553848933le_alt @ SX2 ) )
                | ~ ( is_Arr553848933le_alt @ SX3 ) )
          | ( ( produc171383831le_alt @ SX0 @ SX1 )
           != ( produc171383831le_alt @ SX2 @ SX3 ) )
          | ~ ( ( SX0 != SX2 )
              | ( SX1 != SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[751]) ).

thf(1004,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_Arr625519182e_indi @ SX1 )
          | ( is_fun282293932t_bool @ ( hAPP_A1374816149t_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[683]) ).

thf(1005,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SX1 ) @ ( pi_Arr372473371t_bool @ SX2 @ ( hAPP_f1697527281l_bool @ cOMBK_1292462166e_indi @ SX3 ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SX1 @ SX0 ) ) @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[912]) ).

thf(1006,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_bool @ SX0 )
          | ( ( hAPP_P2075002375t_bool @ ( hAPP_b1024867081t_bool @ cOMBK_2069093696le_alt @ SX0 ) @ SX1 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[935]) ).

thf(1007,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX0 ) @ SX1 ) )
                | ( hBOOL @ ( hAPP_A1466488369i_bool @ SX1 @ SX0 ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_A1466488369i_bool @ SX1 @ SX0 ) )
                | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX0 ) @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[850]) ).

thf(1008,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SX1 ) @ ( pi_fun525942951l_bool @ SX2 @ SX3 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SX1 @ SX0 ) ) @ ( hAPP_f497468491l_bool @ SX3 @ SX0 ) ) )
          | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[875]) ).

thf(1009,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX0 )
                            | ~ ( is_Arr553848933le_alt @ SX1 ) )
                      | ~ ( is_Arr553848933le_alt @ SX3 ) )
                | ~ ( is_Arr553848933le_alt @ SX4 ) )
          | ~ ( ( SX3 != SX4 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SX2 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX0 @ SX1 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SX2 ) @ SX3 ) @ SX4 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SX0 != SX1 ) )
                            | ~ ( ( SX0 != SX4 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX1 ) ) @ SX2 ) ) ) )
                      | ~ ( ~ ( ( SX0 != SX4 ) )
                          | ~ ( ~ ( ( SX1 != SX4 )
                                  | ( SX0 = SX3 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX0 @ SX3 ) ) @ SX2 ) ) )
                              | ~ ( ~ ( ( SX1 != SX4 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX0 @ SX1 ) ) @ SX2 ) ) ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX1 ) )
                              | ~ ( ( SX0 != SX4 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX1 ) ) @ SX2 ) ) ) )
                        | ~ ( ~ ( ( SX0 != SX4 ) )
                            | ~ ( ~ ( ( SX1 != SX4 )
                                    | ( SX0 = SX3 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX0 @ SX3 ) ) @ SX2 ) ) )
                                | ~ ( ~ ( ( SX1 != SX4 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX0 @ SX1 ) ) @ SX2 ) ) ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX0 @ SX1 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SX2 ) @ SX3 ) @ SX4 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[861]) ).

thf(1010,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SX1 ) @ ( pi_fun972956463e_indi @ SX2 @ SX3 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SX1 @ SX0 ) ) @ ( hAPP_f352490559i_bool @ SX3 @ SX0 ) ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[876]) ).

thf(1011,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_bool @ SX1 )
          | ( is_bool @ ( hAPP_bool_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[684]) ).

thf(1012,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun917378774i_bool @ SX0 )
          | ( ( hAPP_f352490559i_bool @ ( hAPP_f1903519657i_bool @ cOMBK_2076140708t_bool @ SX0 ) @ SX1 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[947]) ).

thf(1013,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SX0 ) @ arrow_1239002508le_Lin ) )
          | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ SX0 ) ) @ arrow_413697182e_Prof ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[860]) ).

thf(1014,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SX1 ) @ ( pi_Pro2135156861t_bool @ SX2 @ SX3 ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SX1 @ SX0 ) ) @ ( hAPP_P2127852789l_bool @ SX3 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[882]) ).

thf(1015,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_fun282293932t_bool @ SX0 )
          | ~ ( ~ ( ~ ( ( SX0 != top_to2034604131t_bool ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ SX0 ) @ top_to2034604131t_bool ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ SX0 ) @ top_to2034604131t_bool ) )
                  | ( SX0 != top_to2034604131t_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[831]) ).

thf(1016,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_Arr625519182e_indi @ SX1 )
          | ( is_fun432044380l_bool @ ( hAPP_A1944296755l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[682]) ).

thf(1017,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( ( SX0 != SX1 ) )
                | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX0 ) @ SX1 ) )
                | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX1 ) @ SX0 ) ) )
            | ~ ( ~ ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX0 ) @ SX1 ) )
                    | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX1 ) @ SX0 ) ) )
                | ( SX0 != SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[818]) ).

thf(1018,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_bool @ SX0 )
          | ( SX0 = fTrue )
          | ( SX0 = fFalse ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[929]) ).

thf(1019,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX1 ) @ ( pi_Arr688267935t_bool @ SX2 @ SX3 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SX1 @ SX0 ) ) @ ( hAPP_A1944296755l_bool @ SX3 @ SX0 ) ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[879]) ).

thf(1020,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun959573582l_bool @ SX0 )
          | ( is_bool @ ( hAPP_f1636546729l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[694]) ).

thf(1021,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SX1 ) @ ( pi_fun433100839t_bool @ SX2 @ SX3 ) ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SX1 @ SX0 ) ) @ ( hAPP_f861484971l_bool @ SX3 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[897]) ).

thf(1022,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SX1 ) @ ( pi_fun525942951l_bool @ SX2 @ ( hAPP_f1235573641l_bool @ cOMBK_1072228194t_bool @ SX3 ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SX1 @ SX0 ) ) @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[905]) ).

thf(1023,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX2 )
                            | ~ ( is_Arr553848933le_alt @ SX3 ) )
                      | ~ ( is_Arr553848933le_alt @ SX4 ) )
                | ~ ( is_Arr553848933le_alt @ SX5 ) )
          | ~ ( ( SX4 != SX5 ) )
          | ~ ( ( SX2 != SX3 ) )
          | ~ ( ( SX4 != SX3 ) )
          | ~ ( ( SX5 != SX2 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX1 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX0 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SX6: $i] :
                ( ~ ( is_Arr625519182e_indi @ SX6 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX4 @ SX5 ) ) @ ( hAPP_A1374816149t_bool @ SX1 @ SX6 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ ( hAPP_A1374816149t_bool @ SX0 @ SX6 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ ( hAPP_A1374816149t_bool @ SX0 @ SX6 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX4 @ SX5 ) ) @ ( hAPP_A1374816149t_bool @ SX1 @ SX6 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX4 @ SX5 ) ) @ ( hAPP_f695124765t_bool @ f @ SX1 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ ( hAPP_f695124765t_bool @ f @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[737]) ).

thf(1024,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SX1 ) @ ( pi_boo1877522301le_alt @ SX2 @ SX3 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SX1 @ SX0 ) ) @ ( hAPP_b1024867081t_bool @ SX3 @ SX0 ) ) )
          | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[865]) ).

thf(1025,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ( SX1 != SX2 )
          | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX0 ) @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[795]) ).

thf(1026,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_Arr553848933le_alt @ SX1 )
          | ( is_fun282293932t_bool @ ( hAPP_A619995676t_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[678]) ).

thf(1027,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX0 ) @ SX1 ) )
          | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[811]) ).

thf(1028,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( ~ ! [SX1: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SX0 @ SX1 ) )
                | ! [SX1: $i,SX2: $i] :
                    ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX1 )
                          | ~ ( is_Arr553848933le_alt @ SX2 ) )
                    | ( hBOOL @ ( hAPP_P2075002375t_bool @ SX0 @ ( produc171383831le_alt @ SX1 @ SX2 ) ) ) ) )
            | ~ ( ~ ! [SX1: $i,SX2: $i] :
                      ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX1 )
                            | ~ ( is_Arr553848933le_alt @ SX2 ) )
                      | ( hBOOL @ ( hAPP_P2075002375t_bool @ SX0 @ ( produc171383831le_alt @ SX1 @ SX2 ) ) ) )
                | ! [SX1: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[745]) ).

thf(1029,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX2 )
                            | ~ ( is_Arr553848933le_alt @ SX3 ) )
                      | ~ ( is_Arr553848933le_alt @ SX4 ) )
                | ~ ( is_Arr553848933le_alt @ SX5 ) )
          | ~ ( ( SX4 != SX5 ) )
          | ~ ( ( SX2 != SX3 ) )
          | ~ ( ( SX4 != SX3 ) )
          | ~ ( ( SX5 != SX2 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX1 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX0 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SX6: $i] :
                ( ~ ( is_Arr625519182e_indi @ SX6 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX4 @ SX5 ) ) @ ( hAPP_A1374816149t_bool @ SX1 @ SX6 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ ( hAPP_A1374816149t_bool @ SX0 @ SX6 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ ( hAPP_A1374816149t_bool @ SX0 @ SX6 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX4 @ SX5 ) ) @ ( hAPP_A1374816149t_bool @ SX1 @ SX6 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX4 @ SX5 ) ) @ ( hAPP_f695124765t_bool @ f @ SX1 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ ( hAPP_f695124765t_bool @ f @ SX0 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ ( hAPP_f695124765t_bool @ f @ SX0 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX4 @ SX5 ) ) @ ( hAPP_f695124765t_bool @ f @ SX1 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[736]) ).

thf(1030,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun282293932t_bool @ SX0 )
          | ( is_fun432044380l_bool @ ( pi_Pro2135156861t_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[660]) ).

thf(1031,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun282293932t_bool @ SX0 )
          | ( is_bool @ ( hAPP_P2075002375t_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[723]) ).

thf(1032,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX1 ) @ SX2 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX2 ) @ SX1 ) )
          | ( hBOOL @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[802]) ).

thf(1033,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX0 ) @ SX1 ) )
          | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[801]) ).

thf(1034,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_fun282293932t_bool @ SX0 )
          | ( is_fun282293932t_bool @ ( collec1711870802le_alt @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[675]) ).

thf(1035,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 != SX1 )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ fequal_nat @ SX0 ) @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[931]) ).

thf(1036,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SX1 ) @ ( pi_fun525942951l_bool @ SX2 @ SX3 ) ) )
          | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SX1 @ SX0 ) ) @ ( hAPP_f497468491l_bool @ SX3 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[887]) ).

thf(1037,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun282293932t_bool @ SX0 )
          | ( ( hAPP_b1024867081t_bool @ ( hAPP_f1520552209t_bool @ cOMBK_697786936l_bool @ SX0 ) @ SX1 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[941]) ).

thf(1038,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SX0 ) @ SX1 ) )
                | ! [SX2: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX2 ) @ arrow_413697182e_Prof ) )
                    | ( ( hAPP_f695124765t_bool @ SX0 @ SX2 )
                      = ( hAPP_A1374816149t_bool @ SX2 @ SX1 ) ) ) )
            | ~ ( ~ ! [SX2: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX2 ) @ arrow_413697182e_Prof ) )
                      | ( ( hAPP_f695124765t_bool @ SX0 @ SX2 )
                        = ( hAPP_A1374816149t_bool @ SX2 @ SX1 ) ) )
                | ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SX0 ) @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[917]) ).

thf(1039,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( ~ ~ ~ ( ~ ( ~ ( hBOOL @ SX0 )
                            | ( hBOOL @ top_top_bool ) )
                        | ~ ( ~ ( hBOOL @ top_top_bool )
                            | ( hBOOL @ SX0 ) ) )
                | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SX0 ) @ top_top_bool ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SX0 ) @ top_top_bool ) )
                | ~ ~ ( ~ ( ~ ( hBOOL @ SX0 )
                          | ( hBOOL @ top_top_bool ) )
                      | ~ ( ~ ( hBOOL @ top_top_bool )
                          | ( hBOOL @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[830]) ).

thf(1040,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX0 ) @ SX1 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[798]) ).

thf(1041,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX1 ) @ ( pi_Arr688267935t_bool @ SX2 @ SX3 ) ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SX1 @ SX0 ) ) @ ( hAPP_A1944296755l_bool @ SX3 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[898]) ).

thf(1042,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_fun959573582l_bool @ SX0 )
          | ( is_fun959573582l_bool @ ( collec1580242420t_bool @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[672]) ).

thf(1043,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SX1 ) @ ( pi_Arr1511953043t_bool @ SX2 @ SX3 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SX1 @ SX0 ) ) @ ( hAPP_A1912483895l_bool @ SX3 @ SX0 ) ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[866]) ).

thf(1044,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( is_Arr625519182e_indi @ SX0 )
          | ~ ( hBOOL @ ( inj_on24934938di_nat @ SX2 @ top_to1256827021i_bool ) )
          | ( ( hAPP_A588601142di_nat @ SX2 @ SX0 )
           != SX1 )
          | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ SX2 ) @ SX1 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[833]) ).

thf(1045,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun282293932t_bool @ SX1 )
          | ( ( hAPP_f1673487381t_bool @ ( hAPP_f159424297t_bool @ ( hAPP_b1915039793t_bool @ if_fun1419651289t_bool @ fFalse ) @ SX0 ) @ SX1 )
            = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[937]) ).

thf(1046,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX0 ) @ SX1 ) )
          | ~ ( ( SX0 != SX1 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[783]) ).

thf(1047,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX0 ) @ SX1 ) )
          | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[785]) ).

thf(1048,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_bool @ SX0 )
          | ( ( hAPP_f745298353l_bool @ ( hAPP_b1965422783l_bool @ cOMBK_977355664t_bool @ SX0 ) @ SX1 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[939]) ).

thf(1049,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SX1 ) @ ( pi_Arr372473371t_bool @ SX2 @ SX3 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SX1 @ SX0 ) ) @ ( hAPP_A1964572607l_bool @ SX3 @ SX0 ) ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[868]) ).

thf(1050,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun282293932t_bool @ SX1 )
          | ( is_fun282293932t_bool @ ( hAPP_f1673487381t_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[721]) ).

thf(1051,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SX1 ) @ ( pi_fun433100839t_bool @ SX2 @ SX3 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SX1 @ SX0 ) ) @ ( hAPP_f861484971l_bool @ SX3 @ SX0 ) ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[878]) ).

thf(1052,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX0 ) @ SX1 ) )
                | ( hBOOL @ ( hAPP_f1636546729l_bool @ SX1 @ SX0 ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1636546729l_bool @ SX1 @ SX0 ) )
                | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX0 ) @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[853]) ).

thf(1053,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SX1 ) @ ( pi_fun1494794527l_bool @ SX2 @ SX3 ) ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SX1 @ SX0 ) ) @ ( hAPP_f313042899l_bool @ SX3 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[885]) ).

thf(1054,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SX0 )
                | ~ ( is_Arr625519182e_indi @ SX1 ) )
          | ~ ( hBOOL @ ( inj_on24934938di_nat @ SX2 @ SX3 ) )
          | ( ( hAPP_A588601142di_nat @ SX2 @ SX0 )
           != ( hAPP_A588601142di_nat @ SX2 @ SX1 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX0 ) @ SX3 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX1 ) @ SX3 ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[841]) ).

thf(1055,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SX1 ) @ ( pi_fun972956463e_indi @ SX2 @ ( hAPP_f1903519657i_bool @ cOMBK_2076140708t_bool @ SX3 ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SX1 @ SX0 ) ) @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[906]) ).

thf(1056,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SX0 )
                | ~ ( is_Arr625519182e_indi @ SX1 ) )
          | ~ ( hBOOL @ ( inj_on24934938di_nat @ SX2 @ top_to1256827021i_bool ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SX2 @ SX0 )
                   != ( hAPP_A588601142di_nat @ SX2 @ SX1 ) )
                  | ( SX0 = SX1 ) )
              | ~ ( ( SX0 != SX1 )
                  | ( ( hAPP_A588601142di_nat @ SX2 @ SX0 )
                    = ( hAPP_A588601142di_nat @ SX2 @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[837]) ).

thf(1057,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX0 ) @ SX1 ) )
          | ( SX0 != SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[813]) ).

thf(1058,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SX0 ) )
                | ! [SX1: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX1 ) @ arrow_413697182e_Prof ) )
                    | ! [SX2: $i,SX3: $i] :
                        ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX2 )
                              | ~ ( is_Arr553848933le_alt @ SX3 ) )
                        | ~ ! [SX4: $i] :
                              ( ~ ( is_Arr625519182e_indi @ SX4 )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ ( hAPP_A1374816149t_bool @ SX1 @ SX4 ) ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ ( hAPP_f695124765t_bool @ SX0 @ SX1 ) ) ) ) ) )
            | ~ ( ~ ! [SX1: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX1 ) @ arrow_413697182e_Prof ) )
                      | ! [SX2: $i,SX3: $i] :
                          ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX2 )
                                | ~ ( is_Arr553848933le_alt @ SX3 ) )
                          | ~ ! [SX4: $i] :
                                ( ~ ( is_Arr625519182e_indi @ SX4 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ ( hAPP_A1374816149t_bool @ SX1 @ SX4 ) ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ ( hAPP_f695124765t_bool @ SX0 @ SX1 ) ) ) ) )
                | ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[754]) ).

thf(1059,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX1 ) @ SX2 ) )
          | ( SX2 != SX0 )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[792]) ).

thf(1060,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun917378774i_bool @ SX0 )
          | ( ( hAPP_f355113919i_bool @ ( hAPP_f1677452273i_bool @ cOMBK_1372975190t_bool @ SX0 ) @ SX1 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[962]) ).

thf(1061,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun917378774i_bool @ SX0 )
          | ( ( hAPP_P907763049i_bool @ ( hAPP_f1970593179i_bool @ cOMBK_100791596le_alt @ SX0 ) @ SX1 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[944]) ).

thf(1062,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX1 ) @ SX2 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX0 ) @ SX1 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[786]) ).

thf(1063,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX0 ) @ SX1 ) )
          | ( SX0 != SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[812]) ).

thf(1064,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX0 )
                | ~ ( is_Arr553848933le_alt @ SX1 ) )
          | ~ ( ( SX0 != SX1 ) )
          | ~ ! [SX2: $i] :
                ~ ~ ( ~ ~ ( ~ ( is_fun282293932t_bool @ SX2 )
                          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SX2 ) @ arrow_1239002508le_Lin ) ) )
                    | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX0 @ SX1 ) ) @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[880]) ).

thf(1065,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SX1 ) @ ( pi_Pro437273841e_indi @ SX2 @ SX3 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SX1 @ SX0 ) ) @ ( hAPP_P907763049i_bool @ SX3 @ SX0 ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[871]) ).

thf(1066,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX0 ) @ SX1 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[808]) ).

thf(1067,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun959573582l_bool @ SX0 )
          | ( ( hAPP_A1912483895l_bool @ ( hAPP_f813556705l_bool @ cOMBK_116240846e_indi @ SX0 ) @ SX1 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[953]) ).

thf(1068,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun282293932t_bool @ SX1 )
          | ( is_fun432044380l_bool @ ( hAPP_f2056167603l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[720]) ).

thf(1069,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX2 )
                | ~ ( is_Arr553848933le_alt @ SX3 ) )
          | ~ ( ( SX2 != SX3 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX1 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX0 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SX4: $i] :
                ( ~ ( is_Arr625519182e_indi @ SX4 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ ( hAPP_A1374816149t_bool @ SX1 @ SX4 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX2 ) ) @ ( hAPP_A1374816149t_bool @ SX0 @ SX4 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX2 ) ) @ ( hAPP_A1374816149t_bool @ SX0 @ SX4 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ ( hAPP_A1374816149t_bool @ SX1 @ SX4 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ ( hAPP_f695124765t_bool @ f @ SX1 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX2 ) ) @ ( hAPP_f695124765t_bool @ f @ SX0 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX2 ) ) @ ( hAPP_f695124765t_bool @ f @ SX0 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ ( hAPP_f695124765t_bool @ f @ SX1 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[740]) ).

thf(1070,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX1 ) @ SX2 ) )
          | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX2 ) @ SX0 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[789]) ).

thf(1071,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX0 ) @ SX1 ) )
          | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[799]) ).

thf(1072,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun917378774i_bool @ SX0 )
          | ( is_fun1016509681e_indi @ ( hilber1792103167di_nat @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[664]) ).

thf(1073,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SX1 ) @ ( pi_boo1877522301le_alt @ SX2 @ ( hAPP_f1520552209t_bool @ cOMBK_697786936l_bool @ SX3 ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SX1 @ SX0 ) ) @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[909]) ).

thf(1074,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SX0 ) @ SX1 ) )
                | ( hBOOL @ ( hAPP_f785543729l_bool @ SX1 @ SX0 ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ SX1 @ SX0 ) )
                | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SX0 ) @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[854]) ).

thf(1075,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_bool @ SX1 )
          | ( is_fun631676118l_bool @ ( hAPP_b990649139l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[687]) ).

thf(1076,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_Arr625519182e_indi @ SX1 )
          | ( is_fun959573582l_bool @ ( hAPP_A1912483895l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[680]) ).

thf(1077,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SX1 ) @ ( pi_fun1494794527l_bool @ SX2 @ SX3 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SX1 @ SX0 ) ) @ ( hAPP_f313042899l_bool @ SX3 @ SX0 ) ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[873]) ).

thf(1078,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun631676118l_bool @ SX0 )
          | ( ( hAPP_A1964572607l_bool @ ( hAPP_f1697527281l_bool @ cOMBK_1292462166e_indi @ SX0 ) @ SX1 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[963]) ).

thf(1079,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX0 ) @ SX1 ) )
          | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[809]) ).

thf(1080,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun917378774i_bool @ SX1 )
          | ( is_bool @ ( inj_on24934938di_nat @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[657]) ).

thf(1081,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_fun917378774i_bool @ SX0 )
          | ( ( collec45183100e_indi @ SX0 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[856]) ).

thf(1082,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f1636546729l_bool @ top_to1194196741l_bool @ SX0 ) )
                | ( hBOOL @ top_top_bool ) )
            | ~ ( ~ ( hBOOL @ top_top_bool )
                | ( hBOOL @ ( hAPP_f1636546729l_bool @ top_to1194196741l_bool @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[773]) ).

thf(1083,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_bool @ SX0 )
          | ( SX0 = fTrue )
          | ( SX0 = fFalse ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[938]) ).

thf(1084,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SX0 ) @ SX1 ) )
                | ( hBOOL @ ( hAPP_P2075002375t_bool @ SX1 @ SX0 ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_P2075002375t_bool @ SX1 @ SX0 ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SX0 ) @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[852]) ).

thf(1085,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX0 )
                      | ~ ( is_Arr553848933le_alt @ SX1 ) )
                | ~ ( is_Arr553848933le_alt @ SX3 ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX0 @ SX1 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SX2 ) @ SX3 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SX0 != SX3 ) )
                            | ~ ( ( SX1 != SX3 )
                                | ( SX0 != SX1 ) ) )
                      | ~ ( ~ ( ( SX1 != SX3 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX0 @ SX1 ) ) @ SX2 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX3 ) )
                              | ~ ( ( SX1 != SX3 )
                                  | ( SX0 != SX1 ) ) )
                        | ~ ( ~ ( ( SX1 != SX3 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX0 @ SX1 ) ) @ SX2 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX0 @ SX1 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SX2 ) @ SX3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[735]) ).

thf(1086,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SX1 ) @ ( pi_fun972956463e_indi @ SX2 @ SX3 ) ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SX1 @ SX0 ) ) @ ( hAPP_f352490559i_bool @ SX3 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[888]) ).

thf(1087,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun282293932t_bool @ SX1 )
          | ( is_fun917378774i_bool @ ( hAPP_f352490559i_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[719]) ).

thf(1088,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ( SX1 != SX2 )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX0 ) @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[794]) ).

thf(1089,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SX0 )
                | ~ ( is_Arr625519182e_indi @ SX1 ) )
          | ~ ( hBOOL @ ( inj_on24934938di_nat @ SX2 @ SX3 ) )
          | ~ ( ( SX0 != SX1 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX0 ) @ SX3 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX1 ) @ SX3 ) )
          | ( ( hAPP_A588601142di_nat @ SX2 @ SX0 )
           != ( hAPP_A588601142di_nat @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[839]) ).

thf(1090,plain,
    ( ( ! [SX0: $i] :
          ( ~ ! [SX1: $i,SX2: $i] :
                ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SX1 )
                      | ~ ( is_Arr625519182e_indi @ SX2 ) )
                | ( ( hAPP_A588601142di_nat @ SX0 @ SX1 )
                 != ( hAPP_A588601142di_nat @ SX0 @ SX2 ) )
                | ( SX1 = SX2 ) )
          | ( hBOOL @ ( inj_on24934938di_nat @ SX0 @ top_to1256827021i_bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[844]) ).

thf(1091,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_fun959573582l_bool @ SX0 )
          | ~ ( ~ ( ~ ( ( SX0 != top_to1194196741l_bool ) )
                  | ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ SX0 ) @ top_to1194196741l_bool ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ SX0 ) @ top_to1194196741l_bool ) )
                  | ( SX0 != top_to1194196741l_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[828]) ).

thf(1092,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX0 )
                | ~ ( is_Arr553848933le_alt @ SX1 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SX2 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ( SX0 != SX1 ) )
          | ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX0 @ SX1 ) ) @ SX2 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX1 @ SX0 ) ) @ SX2 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX1 @ SX0 ) ) @ SX2 ) )
                  | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX0 @ SX1 ) ) @ SX2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[849]) ).

thf(1093,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SX0 )
                | ~ ( is_Arr625519182e_indi @ SX1 ) )
          | ~ ( hBOOL @ ( inj_on24934938di_nat @ SX2 @ SX3 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX1 ) @ SX3 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX0 ) @ SX3 ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SX2 @ SX1 )
                   != ( hAPP_A588601142di_nat @ SX2 @ SX0 ) )
                  | ( SX1 = SX0 ) )
              | ~ ( ( SX1 != SX0 )
                  | ( ( hAPP_A588601142di_nat @ SX2 @ SX1 )
                    = ( hAPP_A588601142di_nat @ SX2 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[840]) ).

thf(1094,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ top_to2005687013l_bool @ SX0 ) )
                | ( hBOOL @ top_top_bool ) )
            | ~ ( ~ ( hBOOL @ top_top_bool )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ top_to2005687013l_bool @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[772]) ).

thf(1095,plain,
    ( ( c != d )
    = $true ),
    inference(unfold_def,[status(thm)],[732]) ).

thf(1096,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SX1 ) @ ( pi_boo2007389459t_bool @ SX2 @ ( hAPP_f2135750719l_bool @ cOMBK_971068024l_bool @ SX3 ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SX1 @ SX0 ) ) @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[914]) ).

thf(1097,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_bool @ SX1 )
          | ( is_fun432044380l_bool @ ( hAPP_b1965422783l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[688]) ).

thf(1098,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SX1 ) @ ( pi_Arr149813489le_alt @ SX2 @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ SX3 ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SX1 @ SX0 ) ) @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[908]) ).

thf(1099,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX0 ) @ SX1 ) )
                | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX1 ) @ SX0 ) )
                | ( SX0 = SX1 ) )
            | ~ ( ~ ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX1 ) @ SX0 ) )
                    | ( SX0 = SX1 ) )
                | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX0 ) @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[817]) ).

thf(1100,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_fun917378774i_bool @ SX0 )
          | ~ ( ~ ( ~ ( ( SX0 != top_to1256827021i_bool ) )
                  | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX0 ) @ top_to1256827021i_bool ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX0 ) @ top_to1256827021i_bool ) )
                  | ( SX0 != top_to1256827021i_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[832]) ).

thf(1101,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SX1 ) @ ( pi_fun1494794527l_bool @ SX2 @ ( hAPP_f219827985l_bool @ cOMBK_886533338t_bool @ SX3 ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SX1 @ SX0 ) ) @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[903]) ).

thf(1102,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SX0 ) @ SX1 ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ SX1 @ SX0 ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ SX1 @ SX0 ) )
                | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SX0 ) @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[855]) ).

thf(1103,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SX0 ) ) )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SX0 ) ) @ n ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SX0 ) ) @ e ) ) ) )
                    | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SX0 ) ) @ n ) )
                        | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SX0 )
                                 != n )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SX0 ) ) @ c ) @ e ) ) ) )
                            | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SX0 )
                                     != n ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SX0 ) ) @ e ) ) ) ) ) ) ) )
            | ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SX0 ) ) @ n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SX0 ) ) @ e ) ) ) )
                      | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SX0 ) ) @ n ) )
                          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SX0 )
                                   != n )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SX0 ) ) @ c ) @ e ) ) ) )
                              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SX0 )
                                       != n ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SX0 ) ) @ e ) ) ) ) ) ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[741]) ).

thf(1104,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun631676118l_bool @ SX0 )
          | ( is_bool @ ( hAPP_f785543729l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[702]) ).

thf(1105,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SX0 @ SX1 ) )
                | ! [SX2: $i] :
                    ( ~ ( is_Arr625519182e_indi @ SX2 )
                    | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX2 ) @ SX1 ) )
                    | ! [SX3: $i] :
                        ( ~ ( is_Arr625519182e_indi @ SX3 )
                        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX3 ) @ SX1 ) )
                        | ( ( hAPP_A588601142di_nat @ SX0 @ SX2 )
                         != ( hAPP_A588601142di_nat @ SX0 @ SX3 ) )
                        | ( SX2 = SX3 ) ) ) )
            | ~ ( ~ ! [SX2: $i] :
                      ( ~ ( is_Arr625519182e_indi @ SX2 )
                      | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX2 ) @ SX1 ) )
                      | ! [SX3: $i] :
                          ( ~ ( is_Arr625519182e_indi @ SX3 )
                          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX3 ) @ SX1 ) )
                          | ( ( hAPP_A588601142di_nat @ SX0 @ SX2 )
                           != ( hAPP_A588601142di_nat @ SX0 @ SX3 ) )
                          | ( SX2 = SX3 ) ) )
                | ( hBOOL @ ( inj_on24934938di_nat @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[838]) ).

thf(1106,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX1 ) @ SX2 ) )
          | ( SX2 != SX0 )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[793]) ).

thf(1107,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun917378774i_bool @ SX0 )
          | ( is_fun959573582l_bool @ ( pi_Arr688267935t_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[658]) ).

thf(1108,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun432044380l_bool @ SX1 )
          | ( is_bool @ ( hAPP_f503012287l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[717]) ).

thf(1109,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun1016509681e_indi @ SX0 )
          | ~ ( hBOOL @ ( inj_on24934938di_nat @ SX1 @ top_to1256827021i_bool ) )
          | ~ ! [SX2: $i] :
                ( ( hAPP_A588601142di_nat @ SX1 @ ( hAPP_n385347014e_indi @ SX0 @ SX2 ) )
                = SX2 )
          | ( ( hilber1792103167di_nat @ top_to1256827021i_bool @ SX1 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[843]) ).

thf(1110,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SX0 ) )
                | ! [SX1: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX1 ) @ arrow_413697182e_Prof ) )
                    | ! [SX2: $i] :
                        ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX2 ) @ arrow_413697182e_Prof ) )
                        | ! [SX3: $i,SX4: $i] :
                            ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX3 )
                                  | ~ ( is_Arr553848933le_alt @ SX4 ) )
                            | ~ ! [SX5: $i] :
                                  ( ~ ( is_Arr625519182e_indi @ SX5 )
                                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_A1374816149t_bool @ SX1 @ SX5 ) ) )
                                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_A1374816149t_bool @ SX2 @ SX5 ) ) ) )
                                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_A1374816149t_bool @ SX2 @ SX5 ) ) )
                                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_A1374816149t_bool @ SX1 @ SX5 ) ) ) ) ) )
                            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_f695124765t_bool @ SX0 @ SX1 ) ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_f695124765t_bool @ SX0 @ SX2 ) ) ) )
                                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_f695124765t_bool @ SX0 @ SX2 ) ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_f695124765t_bool @ SX0 @ SX1 ) ) ) ) ) ) ) ) )
            | ~ ( ~ ! [SX1: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX1 ) @ arrow_413697182e_Prof ) )
                      | ! [SX2: $i] :
                          ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX2 ) @ arrow_413697182e_Prof ) )
                          | ! [SX3: $i,SX4: $i] :
                              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX3 )
                                    | ~ ( is_Arr553848933le_alt @ SX4 ) )
                              | ~ ! [SX5: $i] :
                                    ( ~ ( is_Arr625519182e_indi @ SX5 )
                                    | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_A1374816149t_bool @ SX1 @ SX5 ) ) )
                                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_A1374816149t_bool @ SX2 @ SX5 ) ) ) )
                                        | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_A1374816149t_bool @ SX2 @ SX5 ) ) )
                                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_A1374816149t_bool @ SX1 @ SX5 ) ) ) ) ) )
                              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_f695124765t_bool @ SX0 @ SX1 ) ) )
                                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_f695124765t_bool @ SX0 @ SX2 ) ) ) )
                                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_f695124765t_bool @ SX0 @ SX2 ) ) )
                                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_f695124765t_bool @ SX0 @ SX1 ) ) ) ) ) ) ) )
                | ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[753]) ).

thf(1111,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX1 ) @ SX2 ) )
          | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX2 ) @ SX1 ) )
          | ( hBOOL @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[803]) ).

thf(1112,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ( SX0 != SX1 ) )
          | ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX0 ) @ SX1 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[814]) ).

thf(1113,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ top_to40512653l_bool @ SX0 ) )
                | ( hBOOL @ top_top_bool ) )
            | ~ ( ~ ( hBOOL @ top_top_bool )
                | ( hBOOL @ ( hAPP_f785543729l_bool @ top_to40512653l_bool @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[774]) ).

thf(1114,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun1016509681e_indi @ SX0 )
          | ( is_Arr625519182e_indi @ ( hAPP_n385347014e_indi @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[690]) ).

thf(1115,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SX1 ) @ ( pi_Pro2135156861t_bool @ SX2 @ ( hAPP_f1724001331l_bool @ cOMBK_2008994872le_alt @ SX3 ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SX1 @ SX0 ) ) @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[900]) ).

thf(1116,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SX1 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
          | ~ ! [SX2: $i] :
                ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX2 ) @ arrow_413697182e_Prof ) )
                | ! [SX3: $i,SX4: $i] :
                    ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX3 )
                          | ~ ( is_Arr553848933le_alt @ SX4 ) )
                    | ~ ( ( SX3 != SX4 ) )
                    | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_A1374816149t_bool @ SX2 @ SX0 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_f695124765t_bool @ SX1 @ SX2 ) ) ) ) )
          | ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[862]) ).

thf(1117,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SX1 ) @ ( pi_Pro2135156861t_bool @ SX2 @ SX3 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SX1 @ SX0 ) ) @ ( hAPP_P2127852789l_bool @ SX3 @ SX0 ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[863]) ).

thf(1118,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ( SX1 != SX2 )
          | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX2 ) @ SX0 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[797]) ).

thf(1119,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX0 ) @ SX1 ) )
          | ( SX0 != SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[806]) ).

thf(1120,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX0 ) @ SX1 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[784]) ).

thf(1121,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SX1 ) @ ( pi_fun2075749915e_indi @ SX2 @ SX3 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SX1 @ SX0 ) ) @ ( hAPP_f355113919i_bool @ SX3 @ SX0 ) ) )
          | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[874]) ).

thf(1122,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SX0 )
                | ~ ( is_Arr625519182e_indi @ SX1 ) )
          | ~ ( hBOOL @ ( inj_on24934938di_nat @ SX2 @ top_to1256827021i_bool ) )
          | ( ( hAPP_A588601142di_nat @ SX2 @ SX0 )
           != ( hAPP_A588601142di_nat @ SX2 @ SX1 ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[842]) ).

thf(1123,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SX1 ) @ ( pi_boo2007389459t_bool @ SX2 @ SX3 ) ) )
          | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SX1 @ SX0 ) ) @ ( hAPP_b1965422783l_bool @ SX3 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[896]) ).

thf(1124,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SX0 ) @ SX1 ) )
                | ( hBOOL @ ( hAPP_bool_bool @ SX1 @ SX0 ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_bool_bool @ SX1 @ SX0 ) )
                | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SX0 ) @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[851]) ).

thf(1125,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX0 )
                            | ~ ( is_Arr553848933le_alt @ SX1 ) )
                      | ~ ( is_Arr553848933le_alt @ SX2 ) )
                | ~ ( is_Arr553848933le_alt @ SX3 ) )
          | ~ ( ~ ( ( ( produc171383831le_alt @ SX0 @ SX1 )
                   != ( produc171383831le_alt @ SX2 @ SX3 ) )
                  | ~ ( ( SX0 != SX2 )
                      | ( SX1 != SX3 ) ) )
              | ~ ( ~ ~ ( ( SX0 != SX2 )
                        | ( SX1 != SX3 ) )
                  | ( ( produc171383831le_alt @ SX0 @ SX1 )
                    = ( produc171383831le_alt @ SX2 @ SX3 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[752]) ).

thf(1126,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX1 )
                | ~ ( is_Arr553848933le_alt @ SX2 ) )
          | ~ ( ( SX1 != SX2 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SX0 ) @ arrow_1239002508le_Lin ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SX0 ) @ SX1 ) @ SX2 ) ) @ arrow_1239002508le_Lin ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[859]) ).

thf(1127,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SX1 ) @ ( pi_boo691944735t_bool @ SX2 @ SX3 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SX1 @ SX0 ) ) @ ( hAPP_b1719629739l_bool @ SX3 @ SX0 ) ) )
          | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[867]) ).

thf(1128,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX0 ) @ SX1 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[800]) ).

thf(1129,plain,
    ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBC_437064334t_bool @ ( cOMBC_481590946t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ lab ) @ lba ) ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBC_437064334t_bool @ ( cOMBC_481590946t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ lab ) @ lba ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[921]) ).

thf(1130,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SX1 ) @ ( pi_fun1727820731l_bool @ SX2 @ ( hAPP_f1667233577l_bool @ cOMBK_1015076504t_bool @ SX3 ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SX1 @ SX0 ) ) @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[907]) ).

thf(1131,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun282293932t_bool @ SX0 )
          | ( ( hAPP_A1374816149t_bool @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ SX0 ) @ SX1 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[945]) ).

thf(1132,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_Arr625519182e_indi @ SX1 )
          | ( is_fun631676118l_bool @ ( hAPP_A1964572607l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[681]) ).

thf(1133,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_fun432044380l_bool @ SX0 )
          | ~ ( ~ ( ~ ( ( SX0 != top_to2005687013l_bool ) )
                  | ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ SX0 ) @ top_to2005687013l_bool ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ SX0 ) @ top_to2005687013l_bool ) )
                  | ( SX0 != top_to2005687013l_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[827]) ).

thf(1134,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX2 )
                      | ~ ( is_Arr553848933le_alt @ SX3 ) )
                | ~ ( is_Arr553848933le_alt @ SX4 ) )
          | ~ ( ( SX3 != SX4 ) )
          | ~ ( ( SX4 != SX2 ) )
          | ~ ( ( SX3 != SX2 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX1 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX0 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SX5: $i] :
                ( ~ ( is_Arr625519182e_indi @ SX5 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_A1374816149t_bool @ SX1 @ SX5 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX4 @ SX2 ) ) @ ( hAPP_A1374816149t_bool @ SX0 @ SX5 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX4 @ SX2 ) ) @ ( hAPP_A1374816149t_bool @ SX0 @ SX5 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_A1374816149t_bool @ SX1 @ SX5 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_f695124765t_bool @ f @ SX1 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX4 @ SX2 ) ) @ ( hAPP_f695124765t_bool @ f @ SX0 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX4 @ SX2 ) ) @ ( hAPP_f695124765t_bool @ f @ SX0 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX3 @ SX4 ) ) @ ( hAPP_f695124765t_bool @ f @ SX1 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[738]) ).

thf(1135,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_bool @ SX1 )
          | ( is_fun917378774i_bool @ ( hAPP_b1018211123i_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[685]) ).

thf(1136,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_bool @ SX0 )
          | ( ( hAPP_A1466488369i_bool @ ( hAPP_b1018211123i_bool @ cOMBK_1157044842e_indi @ SX0 ) @ SX1 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[932]) ).

thf(1137,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SX1 ) @ ( pi_fun1736243859e_indi @ SX2 @ ( hAPP_f681113465i_bool @ cOMBK_454107598t_bool @ SX3 ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SX1 @ SX0 ) ) @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[902]) ).

thf(1138,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SX0 ) ) @ n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SX0 ) ) @ e ) ) ) )
                      | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SX0 ) ) @ n ) )
                          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SX0 )
                                   != n )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SX0 ) ) @ c ) @ e ) ) ) )
                              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SX0 )
                                       != n ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SX0 ) ) @ e ) ) ) ) ) ) )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SX0 ) ) @ n ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
                    | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SX0 ) ) @ n ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
            | ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SX0 ) ) @ n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
                      | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SX0 ) ) @ n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SX0 ) ) @ n ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SX0 ) ) @ e ) ) ) )
                    | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SX0 ) ) @ n ) )
                        | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SX0 )
                                 != n )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SX0 ) ) @ c ) @ e ) ) ) )
                            | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SX0 )
                                     != n ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SX0 ) ) @ e ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[922]) ).

thf(1139,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun432044380l_bool @ SX0 )
          | ( ( hAPP_f861484971l_bool @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ SX0 ) @ SX1 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[958]) ).

thf(1140,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( is_Arr625519182e_indi @ SX0 )
          | ~ ( hBOOL @ ( inj_on24934938di_nat @ SX1 @ SX2 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX0 ) @ SX2 ) )
          | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SX2 @ SX1 ) @ ( hAPP_A588601142di_nat @ SX1 @ SX0 ) )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[835]) ).

thf(1141,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SX1 ) @ ( pi_boo691944735t_bool @ SX2 @ SX3 ) ) )
          | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SX1 @ SX0 ) ) @ ( hAPP_b1719629739l_bool @ SX3 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[893]) ).

thf(1142,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX0 ) @ SX1 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[810]) ).

thf(1143,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SX1 ) @ arrow_1239002508le_Lin ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SX1 ) @ SX0 ) ) @ arrow_1239002508le_Lin ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[857]) ).

thf(1144,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun959573582l_bool @ SX0 )
          | ( ( hAPP_b1719629739l_bool @ ( hAPP_f371807573l_bool @ cOMBK_697604314l_bool @ SX0 ) @ SX1 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[950]) ).

thf(1145,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SX1 ) @ ( pi_Pro437273841e_indi @ SX2 @ SX3 ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SX1 @ SX0 ) ) @ ( hAPP_P907763049i_bool @ SX3 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[883]) ).

thf(1146,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SX1 ) @ ( pi_Arr372473371t_bool @ SX2 @ SX3 ) ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SX1 @ SX0 ) ) @ ( hAPP_A1964572607l_bool @ SX3 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[894]) ).

thf(1147,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SX1 ) @ ( pi_fun1727820731l_bool @ SX2 @ SX3 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SX1 @ SX0 ) ) @ ( hAPP_f417299659l_bool @ SX3 @ SX0 ) ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[877]) ).

thf(1148,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX0 ) @ SX1 ) )
          | ( SX0 != SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[807]) ).

thf(1149,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_bool @ SX1 )
          | ( is_fun282293932t_bool @ ( hAPP_b1024867081t_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[689]) ).

thf(1150,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ( is_fun282293932t_bool @ SX0 )
                | ~ ( is_fun282293932t_bool @ SX1 ) )
          | ~ ( ~ ( ~ ! [SX2: $i,SX3: $i] :
                        ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX2 )
                              | ~ ( is_Arr553848933le_alt @ SX3 ) )
                        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ SX1 ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ SX0 ) ) )
                            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ SX0 ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ SX1 ) ) ) ) )
                  | ( SX1 = SX0 ) )
              | ~ ( ( SX1 != SX0 )
                  | ! [SX2: $i,SX3: $i] :
                      ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SX2 )
                            | ~ ( is_Arr553848933le_alt @ SX3 ) )
                      | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ SX1 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ SX0 ) ) )
                          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ SX0 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SX2 @ SX3 ) ) @ SX1 ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[826]) ).

thf(1151,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun432044380l_bool @ SX0 )
          | ( ( hAPP_A1944296755l_bool @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ SX0 ) @ SX1 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[948]) ).

thf(1152,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_fun917378774i_bool @ SX0 )
          | ( is_fun917378774i_bool @ ( collec45183100e_indi @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[671]) ).

thf(1153,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX0 ) @ SX1 ) )
          | ( SX1 != SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[804]) ).

thf(1154,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SX1 ) @ ( pi_Arr688267935t_bool @ SX2 @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ SX3 ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SX1 @ SX0 ) ) @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[916]) ).

thf(1155,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX1 ) @ SX2 ) )
          | ( SX1 != SX0 )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[790]) ).

thf(1156,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_fun631676118l_bool @ SX0 )
          | ( is_fun631676118l_bool @ ( collec1520786044t_bool @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[673]) ).

thf(1157,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_fun432044380l_bool @ SX0 )
          | ( ( hAPP_b1965422783l_bool @ ( hAPP_f2135750719l_bool @ cOMBK_971068024l_bool @ SX0 ) @ SX1 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[943]) ).

thf(1158,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SX1 ) @ ( pi_Arr1511953043t_bool @ SX2 @ SX3 ) ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SX1 @ SX0 ) ) @ ( hAPP_A1912483895l_bool @ SX3 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[892]) ).

thf(1159,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( is_fun631676118l_bool @ SX0 )
          | ~ ( ~ ( ~ ( ( SX0 != top_to40512653l_bool ) )
                  | ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ SX0 ) @ top_to40512653l_bool ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ SX0 ) @ top_to40512653l_bool ) )
                  | ( SX0 != top_to40512653l_bool ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[829]) ).

thf(1160,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_bool @ SX0 )
          | ( ( hAPP_f1636546729l_bool @ ( hAPP_b1719629739l_bool @ cOMBK_789167586t_bool @ SX0 ) @ SX1 )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[946]) ).

thf(1161,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SX1 ) @ ( pi_boo691944735t_bool @ SX2 @ ( hAPP_f371807573l_bool @ cOMBK_697604314l_bool @ SX3 ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SX1 @ SX0 ) ) @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[911]) ).

thf(1162,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX1 ) @ SX2 ) )
          | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX0 ) @ SX1 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[787]) ).

thf(1163,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SX1 ) @ ( pi_fun1727820731l_bool @ SX2 @ SX3 ) ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SX1 @ SX0 ) ) @ ( hAPP_f417299659l_bool @ SX3 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[889]) ).

thf(1164,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_bool @ SX1 )
          | ( is_fun959573582l_bool @ ( hAPP_b1719629739l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[686]) ).

thf(1165,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( ~ ( hBOOL @ ( hAPP_A1466488369i_bool @ top_to1256827021i_bool @ SX0 ) )
                | ( hBOOL @ top_top_bool ) )
            | ~ ( ~ ( hBOOL @ top_top_bool )
                | ( hBOOL @ ( hAPP_A1466488369i_bool @ top_to1256827021i_bool @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[776]) ).

thf(1166,plain,
    ( ( a != b )
    = $true ),
    inference(unfold_def,[status(thm)],[923]) ).

thf(1167,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX1 ) @ SX2 ) )
          | ( SX1 != SX0 )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SX0 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[791]) ).

thf(1168,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SX1 ) @ ( pi_Pro437273841e_indi @ SX2 @ ( hAPP_f1970593179i_bool @ cOMBK_100791596le_alt @ SX3 ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SX1 @ SX0 ) ) @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[901]) ).

thf(1169,plain,
    ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ p ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ p ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[744]) ).

thf(1170,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_Arr625519182e_indi @ SX0 )
          | ~ ( hBOOL @ ( inj_on24934938di_nat @ SX1 @ top_to1256827021i_bool ) )
          | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ SX1 ) @ ( hAPP_A588601142di_nat @ SX1 @ SX0 ) )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[834]) ).

thf(1171,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SX1 ) @ ( pi_boo71521447t_bool @ SX2 @ ( hAPP_f448497509l_bool @ cOMBK_1268833122l_bool @ SX3 ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SX0 ) @ SX2 ) )
          | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SX1 @ SX0 ) ) @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[913]) ).

thf(1172,plain,
    ! [SV1: $i] :
      ( ( ! [SY685: $i] : ( is_fun282293932t_bool @ ( hAPP_f695124765t_bool @ SV1 @ SY685 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[647]) ).

thf(1173,plain,
    ! [SV2: $i] :
      ( ( is_fun432044380l_bool @ ( member1056080916le_alt @ SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[649]) ).

thf(1174,plain,
    ! [SV3: $i] :
      ( ( ! [SY686: $i] : ( is_fun917378774i_bool @ ( cOMBC_277798809t_bool @ SV3 @ SY686 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[656]) ).

thf(1175,plain,
    ! [SV4: $i] :
      ( ( ! [SY687: $i] : ( is_bool @ ( hAPP_nat_bool @ SV4 @ SY687 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[691]) ).

thf(1176,plain,
    ! [SV5: $i] :
      ( ( ! [SY688: $i] : ( is_Arr625519182e_indi @ ( hAPP_f1818473245e_indi @ SV5 @ SY688 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[693]) ).

thf(1177,plain,
    ! [SV6: $i] :
      ( ( ! [SY689: $i] : ( is_fun917378774i_bool @ ( hAPP_f749892423i_bool @ SV6 @ SY689 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[695]) ).

thf(1178,plain,
    ! [SV7: $i] :
      ( ( ! [SY690: $i] : ( is_fun432044380l_bool @ ( hAPP_f861484971l_bool @ SV7 @ SY690 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[696]) ).

thf(1179,plain,
    ! [SV8: $i] :
      ( ( ! [SY691: $i] : ( is_bool @ ( hAPP_f387058535l_bool @ SV8 @ SY691 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[697]) ).

thf(1180,plain,
    ! [SV9: $i] :
      ( ( ! [SY692: $i] : ( is_bool @ ( hAPP_f204273237l_bool @ SV9 @ SY692 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[698]) ).

thf(1181,plain,
    ! [SV10: $i] :
      ( ( ! [SY693: $i] : ( is_bool @ ( hAPP_f1012384989l_bool @ SV10 @ SY693 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[699]) ).

thf(1182,plain,
    ! [SV11: $i] :
      ( ( ! [SY694: $i] : ( is_Arr625519182e_indi @ ( hAPP_f618619045e_indi @ SV11 @ SY694 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[701]) ).

thf(1183,plain,
    ! [SV12: $i] :
      ( ( ! [SY695: $i] : ( is_fun917378774i_bool @ ( hAPP_f355113919i_bool @ SV12 @ SY695 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[703]) ).

thf(1184,plain,
    ! [SV13: $i] :
      ( ( ! [SY696: $i] : ( is_bool @ ( hAPP_f483434675l_bool @ SV13 @ SY696 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[704]) ).

thf(1185,plain,
    ! [SV14: $i] :
      ( ( ! [SY697: $i] : ( is_bool @ ( hAPP_f1018082273l_bool @ SV14 @ SY697 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[705]) ).

thf(1186,plain,
    ! [SV15: $i] :
      ( ( ! [SY698: $i] : ( is_bool @ ( hAPP_f1271180905l_bool @ SV15 @ SY698 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[706]) ).

thf(1187,plain,
    ! [SV16: $i] :
      ( ( ! [SY699: $i] : ( is_bool @ ( hAPP_f1550037191l_bool @ SV16 @ SY699 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[707]) ).

thf(1188,plain,
    ! [SV17: $i] :
      ( ( ! [SY700: $i] : ( is_bool @ ( hAPP_f1895985727l_bool @ SV17 @ SY700 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[708]) ).

thf(1189,plain,
    ! [SV18: $i] :
      ( ( ! [SY701: $i] : ( is_bool @ ( hAPP_f234874197l_bool @ SV18 @ SY701 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[709]) ).

thf(1190,plain,
    ! [SV19: $i] :
      ( ( ! [SY702: $i] : ( is_bool @ ( hAPP_f500145249l_bool @ SV19 @ SY702 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[710]) ).

thf(1191,plain,
    ! [SV20: $i] :
      ( ( ! [SY703: $i] : ( is_bool @ ( hAPP_f1766869725l_bool @ SV20 @ SY703 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[712]) ).

thf(1192,plain,
    ! [SV21: $i] :
      ( ( ! [SY704: $i] : ( is_bool @ ( hAPP_f1279200745l_bool @ SV21 @ SY704 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[713]) ).

thf(1193,plain,
    ! [SV22: $i] :
      ( ( ! [SY705: $i] : ( is_bool @ ( hAPP_f592909149l_bool @ SV22 @ SY705 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[714]) ).

thf(1194,plain,
    ! [SV23: $i] :
      ( ( ! [SY706: $i] : ( is_bool @ ( hAPP_f526292585l_bool @ SV23 @ SY706 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[715]) ).

thf(1195,plain,
    ! [SV24: $i] :
      ( ( ! [SY707: $i] : ( is_bool @ ( hAPP_f460310451l_bool @ SV24 @ SY707 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[716]) ).

thf(1196,plain,
    ! [SV25: $i] :
      ( ( ! [SY708: $i] : ( is_Arr625519182e_indi @ ( hAPP_P2024088443e_indi @ SV25 @ SY708 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[722]) ).

thf(1197,plain,
    ! [SV26: $i] :
      ( ( ! [SY709: $i] : ( is_fun917378774i_bool @ ( hAPP_P907763049i_bool @ SV26 @ SY709 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[724]) ).

thf(1198,plain,
    ! [SV27: $i] :
      ( ( hBOOL @ ( hAPP_f745298353l_bool @ top_to2005687013l_bool @ SV27 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[755]) ).

thf(1199,plain,
    ! [SV28: $i] :
      ( ( hBOOL @ ( hAPP_f1636546729l_bool @ top_to1194196741l_bool @ SV28 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[756]) ).

thf(1200,plain,
    ! [SV29: $i] :
      ( ( hBOOL @ ( hAPP_f785543729l_bool @ top_to40512653l_bool @ SV29 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[757]) ).

thf(1201,plain,
    ! [SV30: $i] :
      ( ( hBOOL @ ( hAPP_P2075002375t_bool @ top_to2034604131t_bool @ SV30 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[758]) ).

thf(1202,plain,
    ! [SV31: $i] :
      ( ( hBOOL @ ( hAPP_A1466488369i_bool @ top_to1256827021i_bool @ SV31 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[759]) ).

thf(1203,plain,
    ! [SV32: $i] :
      ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV32 ) @ top_to1647826457l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[760]) ).

thf(1204,plain,
    ! [SV33: $i] :
      ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV33 ) @ top_to1256827021i_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[761]) ).

thf(1205,plain,
    ! [SV34: $i] :
      ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV34 ) @ top_to2034604131t_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[762]) ).

thf(1206,plain,
    ! [SV35: $i] :
      ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV35 ) @ top_to1194196741l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[763]) ).

thf(1207,plain,
    ! [SV36: $i] :
      ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV36 ) @ top_to40512653l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[764]) ).

thf(1208,plain,
    ! [SV37: $i] :
      ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV37 ) @ top_to2005687013l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[765]) ).

thf(1209,plain,
    ! [SV38: $i] :
      ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV38 ) @ top_to1647826457l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[766]) ).

thf(1210,plain,
    ! [SV39: $i] :
      ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV39 ) @ top_to1256827021i_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[767]) ).

thf(1211,plain,
    ! [SV40: $i] :
      ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV40 ) @ top_to2034604131t_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[768]) ).

thf(1212,plain,
    ! [SV41: $i] :
      ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV41 ) @ top_to1194196741l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[769]) ).

thf(1213,plain,
    ! [SV42: $i] :
      ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV42 ) @ top_to40512653l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[770]) ).

thf(1214,plain,
    ! [SV43: $i] :
      ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV43 ) @ top_to2005687013l_bool ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[771]) ).

thf(1215,plain,
    ! [SV44: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ top_to2005687013l_bool ) @ SV44 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[777]) ).

thf(1216,plain,
    ! [SV45: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ top_to1194196741l_bool ) @ SV45 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[778]) ).

thf(1217,plain,
    ! [SV46: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ top_to40512653l_bool ) @ SV46 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[779]) ).

thf(1218,plain,
    ! [SV47: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ top_top_bool ) @ SV47 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[780]) ).

thf(1219,plain,
    ! [SV48: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ top_to2034604131t_bool ) @ SV48 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[781]) ).

thf(1220,plain,
    ! [SV49: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ top_to1256827021i_bool ) @ SV49 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[782]) ).

thf(1221,plain,
    ! [SV50: $i] :
      ( ( ! [SY710: $i] :
            ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV50 ) @ SY710 ) )
            | ( SV50 = SY710 )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY710 ) @ SV50 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[816]) ).

thf(1222,plain,
    ! [SV51: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV51 ) @ SV51 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[819]) ).

thf(1223,plain,
    ! [SV52: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV52 ) @ SV52 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[820]) ).

thf(1224,plain,
    ! [SV53: $i] :
      ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( cOMBC_437064334t_bool @ ( cOMBC_481590946t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ SV53 ) ) @ lab ) @ lba ) ) @ arrow_413697182e_Prof ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[881]) ).

thf(1225,plain,
    ! [SV54: $i] :
      ( ( ( pi_Pro2135156861t_bool @ SV54 @ ( hAPP_f1724001331l_bool @ cOMBK_2008994872le_alt @ top_to1647826457l_bool ) )
        = top_to2005687013l_bool )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[918]) ).

thf(1226,plain,
    ! [SV55: $i] :
      ( ( ( pi_fun433100839t_bool @ SV55 @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ top_to2005687013l_bool ) )
        = top_to40512653l_bool )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[919]) ).

thf(1227,plain,
    ! [SV56: $i] :
      ( ( ( pi_Arr688267935t_bool @ SV56 @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ top_to2005687013l_bool ) )
        = top_to1194196741l_bool )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[920]) ).

thf(1228,plain,
    ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ a @ b ) ) @ lba ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[926]) ).

thf(1229,plain,
    ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[927]) ).

thf(1230,plain,
    ! [SV57: $i] :
      ( ( ! [SY711: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ fequal_nat @ SV57 ) @ SY711 ) )
            | ( SV57 = SY711 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[930]) ).

thf(1231,plain,
    ! [SV58: $i] :
      ( ( ! [SY712: $i,SY713: $i] :
            ( ( hAPP_A1466488369i_bool @ ( cOMBC_277798809t_bool @ SV58 @ SY712 ) @ SY713 )
            = ( hAPP_nat_bool @ ( hAPP_A1922697556t_bool @ SV58 @ SY713 ) @ SY712 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[933]) ).

thf(1232,plain,
    ! [SV59: $i] :
      ( ( ! [SY714: $i,SY715: $i] :
            ( ( hAPP_A1922697556t_bool @ ( cOMBB_317992461e_indi @ SV59 @ SY714 ) @ SY715 )
            = ( hAPP_n1699378549t_bool @ SV59 @ ( hAPP_A588601142di_nat @ SY714 @ SY715 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[934]) ).

thf(1233,plain,
    ! [SV60: $i] :
      ( ( ! [SY716: $i] :
            ( ( hAPP_P2127852789l_bool @ ( hAPP_f1724001331l_bool @ cOMBK_2008994872le_alt @ SV60 ) @ SY716 )
            = SV60 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[940]) ).

thf(1234,plain,
    ! [SV61: $i] :
      ( ( ! [SY717: $i] :
            ( ( hAPP_f417299659l_bool @ ( hAPP_f1667233577l_bool @ cOMBK_1015076504t_bool @ SV61 ) @ SY717 )
            = SV61 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[942]) ).

thf(1235,plain,
    ! [SV62: $i] :
      ( ( ! [SY718: $i] :
            ( ( hAPP_f313042899l_bool @ ( hAPP_f219827985l_bool @ cOMBK_886533338t_bool @ SV62 ) @ SY718 )
            = SV62 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[949]) ).

thf(1236,plain,
    ! [SV63: $i] :
      ( ( ! [SY719: $i,SY720: $i] :
            ( ( hAPP_A1374816149t_bool @ ( cOMBC_1778077589t_bool @ SV63 @ SY719 ) @ SY720 )
            = ( hAPP_A619995676t_bool @ ( hAPP_A702630576t_bool @ SV63 @ SY720 ) @ SY719 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[951]) ).

thf(1237,plain,
    ! [SV64: $i] :
      ( ( ! [SY721: $i,SY722: $i] :
            ( ( hAPP_A702630576t_bool @ ( cOMBC_493523632t_bool @ SV64 @ SY721 ) @ SY722 )
            = ( hAPP_A384644407t_bool @ ( hAPP_A460042315t_bool @ SV64 @ SY722 ) @ SY721 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[954]) ).

thf(1238,plain,
    ! [SV65: $i] :
      ( ( ! [SY723: $i,SY724: $i] :
            ( ( hAPP_A1374816149t_bool @ ( cOMBC_437064334t_bool @ SV65 @ SY723 ) @ SY724 )
            = ( hAPP_f1673487381t_bool @ ( hAPP_A1333445289t_bool @ SV65 @ SY724 ) @ SY723 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[955]) ).

thf(1239,plain,
    ! [SV66: $i] :
      ( ( ! [SY725: $i,SY726: $i] :
            ( ( hAPP_A1374816149t_bool @ ( cOMBS_867867294t_bool @ SV66 @ SY725 ) @ SY726 )
            = ( hAPP_f1673487381t_bool @ ( hAPP_A1333445289t_bool @ SV66 @ SY726 ) @ ( hAPP_A1374816149t_bool @ SY725 @ SY726 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[956]) ).

thf(1240,plain,
    ! [SV67: $i] :
      ( ( ! [SY727: $i] :
            ( ( hAPP_f497468491l_bool @ ( hAPP_f1235573641l_bool @ cOMBK_1072228194t_bool @ SV67 ) @ SY727 )
            = SV67 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[959]) ).

thf(1241,plain,
    ! [SV68: $i] :
      ( ( ! [SY728: $i,SY729: $i] :
            ( ( hAPP_A702630576t_bool @ ( cOMBB_1292070696e_indi @ SV68 @ SY728 ) @ SY729 )
            = ( hAPP_f1290184496t_bool @ SV68 @ ( hAPP_A1374816149t_bool @ SY728 @ SY729 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[961]) ).

thf(1242,plain,
    ! [SV69: $i] :
      ( ( ! [SY730: $i,SY731: $i] :
            ( ( hAPP_A460042315t_bool @ ( cOMBB_69933763e_indi @ SV69 @ SY730 ) @ SY731 )
            = ( hAPP_f1336478923t_bool @ SV69 @ ( hAPP_A1374816149t_bool @ SY730 @ SY731 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[964]) ).

thf(1243,plain,
    ! [SV70: $i] :
      ( ( ! [SY732: $i,SY733: $i] :
            ( ( hAPP_A1333445289t_bool @ ( cOMBC_481590946t_bool @ SV70 @ SY732 ) @ SY733 )
            = ( hAPP_f159424297t_bool @ ( hAPP_A869356733t_bool @ SV70 @ SY733 ) @ SY732 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[965]) ).

thf(1244,plain,
    ! [SV71: $i] :
      ( ( ! [SY734: $i,SY735: $i] :
            ( ( hAPP_A1333445289t_bool @ ( cOMBS_102864562t_bool @ SV71 @ SY734 ) @ SY735 )
            = ( hAPP_f159424297t_bool @ ( hAPP_A869356733t_bool @ SV71 @ SY735 ) @ ( hAPP_A1374816149t_bool @ SY734 @ SY735 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[966]) ).

thf(1245,plain,
    ! [SV72: $i] :
      ( ( ! [SY736: $i,SY737: $i] :
            ( ( hAPP_A869356733t_bool @ ( cOMBB_963584201e_indi @ SV72 @ SY736 ) @ SY737 )
            = ( hAPP_b1915039793t_bool @ SV72 @ ( hAPP_A1466488369i_bool @ SY736 @ SY737 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[967]) ).

thf(1246,plain,
    ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ p ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[968]) ).

thf(1247,plain,
    ! [SV73: $i] :
      ( ( ! [SY738: $i,SY739: $i,SY740: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SY738 ) @ ( pi_boo1877522301le_alt @ SY739 @ SY740 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV73 ) @ SY739 ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SY738 @ SV73 ) ) @ ( hAPP_b1024867081t_bool @ SY740 @ SV73 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[969]) ).

thf(1248,plain,
    ! [SV74: $i] :
      ( ( ! [SY741: $i] :
            ( ~ ( is_fun282293932t_bool @ SV74 )
            | ( ( hAPP_f1673487381t_bool @ ( hAPP_f159424297t_bool @ ( hAPP_b1915039793t_bool @ if_fun1419651289t_bool @ fTrue ) @ SV74 ) @ SY741 )
              = SV74 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[970]) ).

thf(1249,plain,
    ! [SV75: $i] :
      ( ( ! [SY742: $i] :
            ( ~ ( is_bool @ SV75 )
            | ( ( hAPP_f785543729l_bool @ ( hAPP_b990649139l_bool @ cOMBK_580911210t_bool @ SV75 ) @ SY742 )
              = SV75 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[971]) ).

thf(1250,plain,
    ! [SV76: $i] :
      ( ( ! [SY743: $i,SY744: $i,SY745: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SY743 ) @ ( pi_boo71521447t_bool @ SY744 @ SY745 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV76 ) @ SY744 ) )
            | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SY743 @ SV76 ) ) @ ( hAPP_b990649139l_bool @ SY745 @ SV76 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[972]) ).

thf(1251,plain,
    ! [SV77: $i] :
      ( ( ! [SY746: $i,SY747: $i,SY748: $i] :
            ( ~ ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SY746 ) @ ( pi_fun1736243859e_indi @ SY747 @ SY748 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SY746 @ SV77 ) ) @ ( hAPP_f749892423i_bool @ SY748 @ SV77 ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV77 ) @ SY747 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[973]) ).

thf(1252,plain,
    ! [SV78: $i] :
      ( ( ! [SY749: $i,SY750: $i,SY751: $i,SY752: $i,SY753: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY750 )
                              | ~ ( is_Arr553848933le_alt @ SY751 ) )
                        | ~ ( is_Arr553848933le_alt @ SY752 ) )
                  | ~ ( is_Arr553848933le_alt @ SY753 ) )
            | ~ ( ( SY752 != SY753 ) )
            | ~ ( ( SY750 != SY751 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY749 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY754: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY754 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY752 @ SY753 ) ) @ ( hAPP_A1374816149t_bool @ SY749 @ SY754 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY750 @ SY751 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY754 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY750 @ SY751 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY754 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY752 @ SY753 ) ) @ ( hAPP_A1374816149t_bool @ SY749 @ SY754 ) ) ) ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY752 @ SY753 ) ) @ ( hAPP_f695124765t_bool @ f @ SY749 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY750 @ SY751 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY750 @ SY751 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY752 @ SY753 ) ) @ ( hAPP_f695124765t_bool @ f @ SY749 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[974]) ).

thf(1253,plain,
    ! [SV79: $i] :
      ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_P2075002375t_bool @ top_to2034604131t_bool @ SV79 ) )
                | ( hBOOL @ top_top_bool ) )
            | ~ ( ~ ( hBOOL @ top_top_bool )
                | ( hBOOL @ ( hAPP_P2075002375t_bool @ top_to2034604131t_bool @ SV79 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[975]) ).

thf(1254,plain,
    ! [SV80: $i] :
      ( ( ! [SY755: $i] :
            ( ~ ~ ( ~ ( is_fun917378774i_bool @ SV80 )
                  | ~ ( is_Arr625519182e_indi @ SY755 ) )
            | ( is_bool @ ( hAPP_A1466488369i_bool @ SV80 @ SY755 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[976]) ).

thf(1255,plain,
    ! [SV81: $i] :
      ( ( ! [SY756: $i,SY757: $i,SY758: $i] :
            ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SY756 ) @ ( pi_fun433100839t_bool @ SY757 @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ SY758 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV81 ) @ SY757 ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SY756 @ SV81 ) ) @ SY758 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[977]) ).

thf(1256,plain,
    ! [SV82: $i] :
      ( ( ! [SY759: $i] :
            ( ~ ( is_fun631676118l_bool @ SV82 )
            | ( ( hAPP_b990649139l_bool @ ( hAPP_f448497509l_bool @ cOMBK_1268833122l_bool @ SV82 ) @ SY759 )
              = SV82 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[978]) ).

thf(1257,plain,
    ! [SV83: $i] :
      ( ( ! [SY760: $i] :
            ( ~ ( is_fun959573582l_bool @ SV83 )
            | ( is_fun631676118l_bool @ ( pi_fun433100839t_bool @ SV83 @ SY760 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[979]) ).

thf(1258,plain,
    ! [SV84: $i] :
      ( ( ! [SY761: $i] :
            ( ~ ~ ( ~ ( is_fun432044380l_bool @ SV84 )
                  | ~ ( is_fun282293932t_bool @ SY761 ) )
            | ( is_bool @ ( hAPP_f745298353l_bool @ SV84 @ SY761 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[980]) ).

thf(1259,plain,
    ! [SV85: $i] :
      ( ( ! [SY762: $i,SY763: $i,SY764: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SY762 ) @ ( pi_fun2075749915e_indi @ SY763 @ ( hAPP_f1677452273i_bool @ cOMBK_1372975190t_bool @ SY764 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV85 ) @ SY763 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SY762 @ SV85 ) ) @ SY764 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[981]) ).

thf(1260,plain,
    ! [SV86: $i] :
      ( ( ! [SY765: $i,SY766: $i,SY767: $i] :
            ( ~ ( is_Arr625519182e_indi @ SY765 )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SY766 @ SY767 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY765 ) @ SY767 ) )
            | ( ( hAPP_A588601142di_nat @ SY766 @ SY765 )
             != SV86 )
            | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SY767 @ SY766 ) @ SV86 )
              = SY765 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[982]) ).

thf(1261,plain,
    ! [SV87: $i] :
      ( ( ! [SY768: $i,SY769: $i,SY770: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV87 )
                        | ~ ( is_Arr553848933le_alt @ SY768 ) )
                  | ~ ( is_Arr553848933le_alt @ SY770 ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SY768 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SY769 ) @ SY770 ) ) )
                    | ~ ( ~ ~ ( ~ ( ( SY768 != SY770 ) )
                              | ~ ( ( SV87 != SY770 )
                                  | ( SV87 != SY768 ) ) )
                        | ~ ( ~ ( ( SV87 != SY770 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SY768 ) ) @ SY769 ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SY768 != SY770 ) )
                                | ~ ( ( SV87 != SY770 )
                                    | ( SV87 != SY768 ) ) )
                          | ~ ( ~ ( ( SV87 != SY770 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SY768 ) ) @ SY769 ) ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SY768 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SY769 ) @ SY770 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[983]) ).

thf(1262,plain,
    ! [SV88: $i] :
      ( ( ! [SY771: $i] :
            ( ~ ( is_fun631676118l_bool @ SY771 )
            | ( is_bool @ ( hAPP_f213304539l_bool @ SV88 @ SY771 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[984]) ).

thf(1263,plain,
    ! [SV89: $i] :
      ( ( ! [SY772: $i] :
            ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY772 ) @ arrow_1239002508le_Lin ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SY772 ) @ SV89 ) ) @ arrow_1239002508le_Lin ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[985]) ).

thf(1264,plain,
    ! [SV90: $i] :
      ( ( ! [SY773: $i] :
            ( ~ ( is_fun917378774i_bool @ SV90 )
            | ( ( hAPP_f749892423i_bool @ ( hAPP_f681113465i_bool @ cOMBK_454107598t_bool @ SV90 ) @ SY773 )
              = SV90 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[986]) ).

thf(1265,plain,
    ! [SV91: $i] :
      ( ( ! [SY774: $i,SY775: $i] :
            ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY775 ) @ arrow_1239002508le_Lin ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV91 @ SY774 ) ) @ SY775 ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY774 @ SV91 ) ) @ SY775 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[987]) ).

thf(1266,plain,
    ! [SV92: $i] :
      ( ( ! [SY776: $i,SY777: $i,SY778: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SY776 ) @ ( pi_boo2007389459t_bool @ SY777 @ SY778 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SY776 @ SV92 ) ) @ ( hAPP_b1965422783l_bool @ SY778 @ SV92 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV92 ) @ SY777 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[988]) ).

thf(1267,plain,
    ! [SV93: $i] :
      ( ( ~ ( is_fun432044380l_bool @ SV93 )
        | ( is_fun432044380l_bool @ ( collec874260222t_bool @ SV93 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[989]) ).

thf(1268,plain,
    ! [SV94: $i] :
      ( ( ! [SY779: $i] :
            ( ~ ( is_fun282293932t_bool @ SY779 )
            | ( is_Arr625519182e_indi @ ( hAPP_f1659504677e_indi @ SV94 @ SY779 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[990]) ).

thf(1269,plain,
    ! [SV95: $i] :
      ( ( ! [SY780: $i,SY781: $i] :
            ( ( SY780 != SY781 )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SY781 ) @ SV95 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SY780 ) @ SV95 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[991]) ).

thf(1270,plain,
    ! [SV96: $i] :
      ( ( ! [SY782: $i,SY783: $i,SY784: $i] :
            ( ~ ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SY782 ) @ ( pi_Arr149813489le_alt @ SY783 @ SY784 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SY782 @ SV96 ) ) @ ( hAPP_A1374816149t_bool @ SY784 @ SV96 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV96 ) @ SY783 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[992]) ).

thf(1271,plain,
    ! [SV97: $i] :
      ( ( ! [SY785: $i,SY786: $i,SY787: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SY785 ) @ ( pi_boo71521447t_bool @ SY786 @ SY787 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SY785 @ SV97 ) ) @ ( hAPP_b990649139l_bool @ SY787 @ SV97 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV97 ) @ SY786 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[993]) ).

thf(1272,plain,
    ! [SV98: $i] :
      ( ( ! [SY788: $i,SY789: $i,SY790: $i] :
            ( ~ ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SY788 ) @ ( pi_Arr1511953043t_bool @ SY789 @ ( hAPP_f813556705l_bool @ cOMBK_116240846e_indi @ SY790 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV98 ) @ SY789 ) )
            | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SY788 @ SV98 ) ) @ SY790 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[994]) ).

thf(1273,plain,
    ! [SV99: $i] :
      ( ( ! [SY791: $i] :
            ( ~ ( is_fun917378774i_bool @ SY791 )
            | ( is_bool @ ( hAPP_f919661787l_bool @ SV99 @ SY791 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[995]) ).

thf(1274,plain,
    ! [SV100: $i] :
      ( ( ! [SY792: $i,SY793: $i,SY794: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SY792 ) @ ( pi_fun2075749915e_indi @ SY793 @ SY794 ) ) )
            | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV100 ) @ SY793 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SY792 @ SV100 ) ) @ ( hAPP_f355113919i_bool @ SY794 @ SV100 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[996]) ).

thf(1275,plain,
    ! [SV101: $i] :
      ( ( ! [SY795: $i,SY796: $i,SY797: $i] :
            ( ~ ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SY795 ) @ ( pi_fun1736243859e_indi @ SY796 @ SY797 ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV101 ) @ SY796 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SY795 @ SV101 ) ) @ ( hAPP_f749892423i_bool @ SY797 @ SV101 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[997]) ).

thf(1276,plain,
    ! [SV102: $i] :
      ( ( ! [SY798: $i,SY799: $i,SY800: $i] :
            ( ~ ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SY798 ) @ ( pi_Arr149813489le_alt @ SY799 @ SY800 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV102 ) @ SY799 ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SY798 @ SV102 ) ) @ ( hAPP_A1374816149t_bool @ SY800 @ SV102 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[998]) ).

thf(1277,plain,
    ! [SV103: $i] :
      ( ( ! [SY801: $i] :
            ( ~ ( is_fun959573582l_bool @ SY801 )
            | ( is_bool @ ( hAPP_f453661011l_bool @ SV103 @ SY801 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[999]) ).

thf(1278,plain,
    ! [SV104: $i] :
      ( ( ! [SY802: $i,SY803: $i] :
            ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SY802 ) @ SY803 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SY803 ) @ SV104 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SY802 ) @ SV104 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1000]) ).

thf(1279,plain,
    ! [SV105: $i] :
      ( ( ! [SY804: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV105 ) @ SY804 ) )
            | ( SY804 != SV105 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1001]) ).

thf(1280,plain,
    ! [SV106: $i] :
      ( ( ! [SY805: $i] :
            ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV106 ) @ SY805 ) )
            | ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY805 ) @ SV106 ) )
                    | ( SY805 = SV106 ) )
                | ~ ( ( SY805 != SV106 )
                    | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY805 ) @ SV106 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1002]) ).

thf(1281,plain,
    ! [SV107: $i] :
      ( ( ! [SY806: $i,SY807: $i,SY808: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV107 )
                              | ~ ( is_Arr553848933le_alt @ SY806 ) )
                        | ~ ( is_Arr553848933le_alt @ SY807 ) )
                  | ~ ( is_Arr553848933le_alt @ SY808 ) )
            | ( ( produc171383831le_alt @ SV107 @ SY806 )
             != ( produc171383831le_alt @ SY807 @ SY808 ) )
            | ~ ( ( SV107 != SY807 )
                | ( SY806 != SY808 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1003]) ).

thf(1282,plain,
    ! [SV108: $i] :
      ( ( ! [SY809: $i] :
            ( ~ ( is_Arr625519182e_indi @ SY809 )
            | ( is_fun282293932t_bool @ ( hAPP_A1374816149t_bool @ SV108 @ SY809 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1004]) ).

thf(1283,plain,
    ! [SV109: $i] :
      ( ( ! [SY810: $i,SY811: $i,SY812: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SY810 ) @ ( pi_Arr372473371t_bool @ SY811 @ ( hAPP_f1697527281l_bool @ cOMBK_1292462166e_indi @ SY812 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV109 ) @ SY811 ) )
            | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SY810 @ SV109 ) ) @ SY812 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1005]) ).

thf(1284,plain,
    ! [SV110: $i] :
      ( ( ! [SY813: $i] :
            ( ~ ( is_bool @ SV110 )
            | ( ( hAPP_P2075002375t_bool @ ( hAPP_b1024867081t_bool @ cOMBK_2069093696le_alt @ SV110 ) @ SY813 )
              = SV110 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1006]) ).

thf(1285,plain,
    ! [SV111: $i] :
      ( ( ! [SY814: $i] :
            ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV111 ) @ SY814 ) )
                  | ( hBOOL @ ( hAPP_A1466488369i_bool @ SY814 @ SV111 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_A1466488369i_bool @ SY814 @ SV111 ) )
                  | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV111 ) @ SY814 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1007]) ).

thf(1286,plain,
    ! [SV112: $i] :
      ( ( ! [SY815: $i,SY816: $i,SY817: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SY815 ) @ ( pi_fun525942951l_bool @ SY816 @ SY817 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SY815 @ SV112 ) ) @ ( hAPP_f497468491l_bool @ SY817 @ SV112 ) ) )
            | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV112 ) @ SY816 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1008]) ).

thf(1287,plain,
    ! [SV113: $i] :
      ( ( ! [SY818: $i,SY819: $i,SY820: $i,SY821: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV113 )
                              | ~ ( is_Arr553848933le_alt @ SY818 ) )
                        | ~ ( is_Arr553848933le_alt @ SY820 ) )
                  | ~ ( is_Arr553848933le_alt @ SY821 ) )
            | ~ ( ( SY820 != SY821 ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY819 ) @ arrow_1239002508le_Lin ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SY818 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SY819 ) @ SY820 ) @ SY821 ) ) )
                    | ~ ( ~ ~ ( ~ ( ( SV113 != SY818 ) )
                              | ~ ( ( SV113 != SY821 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY820 @ SY818 ) ) @ SY819 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SY821 ) )
                            | ~ ( ~ ( ( SY818 != SY821 )
                                    | ( SV113 = SY820 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SY820 ) ) @ SY819 ) ) )
                                | ~ ( ~ ( ( SY818 != SY821 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SY818 ) ) @ SY819 ) ) ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SY818 ) )
                                | ~ ( ( SV113 != SY821 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY820 @ SY818 ) ) @ SY819 ) ) ) )
                          | ~ ( ~ ( ( SV113 != SY821 ) )
                              | ~ ( ~ ( ( SY818 != SY821 )
                                      | ( SV113 = SY820 )
                                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SY820 ) ) @ SY819 ) ) )
                                  | ~ ( ~ ( ( SY818 != SY821 ) )
                                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SY818 ) ) @ SY819 ) ) ) ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SY818 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SY819 ) @ SY820 ) @ SY821 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1009]) ).

thf(1288,plain,
    ! [SV114: $i] :
      ( ( ! [SY822: $i,SY823: $i,SY824: $i] :
            ( ~ ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SY822 ) @ ( pi_fun972956463e_indi @ SY823 @ SY824 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SY822 @ SV114 ) ) @ ( hAPP_f352490559i_bool @ SY824 @ SV114 ) ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV114 ) @ SY823 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1010]) ).

thf(1289,plain,
    ! [SV115: $i] :
      ( ( ! [SY825: $i] :
            ( ~ ( is_bool @ SY825 )
            | ( is_bool @ ( hAPP_bool_bool @ SV115 @ SY825 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1011]) ).

thf(1290,plain,
    ! [SV116: $i] :
      ( ( ! [SY826: $i] :
            ( ~ ( is_fun917378774i_bool @ SV116 )
            | ( ( hAPP_f352490559i_bool @ ( hAPP_f1903519657i_bool @ cOMBK_2076140708t_bool @ SV116 ) @ SY826 )
              = SV116 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1012]) ).

thf(1291,plain,
    ! [SV117: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV117 ) @ arrow_1239002508le_Lin ) )
        | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ SV117 ) ) @ arrow_413697182e_Prof ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1013]) ).

thf(1292,plain,
    ! [SV118: $i] :
      ( ( ! [SY827: $i,SY828: $i,SY829: $i] :
            ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY827 ) @ ( pi_Pro2135156861t_bool @ SY828 @ SY829 ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV118 ) @ SY828 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SY827 @ SV118 ) ) @ ( hAPP_P2127852789l_bool @ SY829 @ SV118 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1014]) ).

thf(1293,plain,
    ! [SV119: $i] :
      ( ( ~ ( is_fun282293932t_bool @ SV119 )
        | ~ ( ~ ( ~ ( ( SV119 != top_to2034604131t_bool ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ SV119 ) @ top_to2034604131t_bool ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ SV119 ) @ top_to2034604131t_bool ) )
                | ( SV119 != top_to2034604131t_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1015]) ).

thf(1294,plain,
    ! [SV120: $i] :
      ( ( ! [SY830: $i] :
            ( ~ ( is_Arr625519182e_indi @ SY830 )
            | ( is_fun432044380l_bool @ ( hAPP_A1944296755l_bool @ SV120 @ SY830 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1016]) ).

thf(1295,plain,
    ! [SV121: $i] :
      ( ( ! [SY831: $i] :
            ~ ( ~ ( ~ ( ( SV121 != SY831 ) )
                  | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV121 ) @ SY831 ) )
                  | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY831 ) @ SV121 ) ) )
              | ~ ( ~ ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV121 ) @ SY831 ) )
                      | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY831 ) @ SV121 ) ) )
                  | ( SV121 != SY831 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1017]) ).

thf(1296,plain,
    ! [SV122: $i] :
      ( ( ~ ( is_bool @ SV122 )
        | ( SV122 = fTrue )
        | ( SV122 = fFalse ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1018]) ).

thf(1297,plain,
    ! [SV123: $i] :
      ( ( ! [SY832: $i,SY833: $i,SY834: $i] :
            ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY832 ) @ ( pi_Arr688267935t_bool @ SY833 @ SY834 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SY832 @ SV123 ) ) @ ( hAPP_A1944296755l_bool @ SY834 @ SV123 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV123 ) @ SY833 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1019]) ).

thf(1298,plain,
    ! [SV124: $i] :
      ( ( ! [SY835: $i] :
            ( ~ ( is_fun959573582l_bool @ SV124 )
            | ( is_bool @ ( hAPP_f1636546729l_bool @ SV124 @ SY835 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1020]) ).

thf(1299,plain,
    ! [SV125: $i] :
      ( ( ! [SY836: $i,SY837: $i,SY838: $i] :
            ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SY836 ) @ ( pi_fun433100839t_bool @ SY837 @ SY838 ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV125 ) @ SY837 ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SY836 @ SV125 ) ) @ ( hAPP_f861484971l_bool @ SY838 @ SV125 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1021]) ).

thf(1300,plain,
    ! [SV126: $i] :
      ( ( ! [SY839: $i,SY840: $i,SY841: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SY839 ) @ ( pi_fun525942951l_bool @ SY840 @ ( hAPP_f1235573641l_bool @ cOMBK_1072228194t_bool @ SY841 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV126 ) @ SY840 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SY839 @ SV126 ) ) @ SY841 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1022]) ).

thf(1301,plain,
    ! [SV127: $i] :
      ( ( ! [SY842: $i,SY843: $i,SY844: $i,SY845: $i,SY846: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY843 )
                              | ~ ( is_Arr553848933le_alt @ SY844 ) )
                        | ~ ( is_Arr553848933le_alt @ SY845 ) )
                  | ~ ( is_Arr553848933le_alt @ SY846 ) )
            | ~ ( ( SY845 != SY846 ) )
            | ~ ( ( SY843 != SY844 ) )
            | ~ ( ( SY845 != SY844 ) )
            | ~ ( ( SY846 != SY843 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY842 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY847: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY847 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY845 @ SY846 ) ) @ ( hAPP_A1374816149t_bool @ SY842 @ SY847 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY843 @ SY844 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY847 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY843 @ SY844 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY847 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY845 @ SY846 ) ) @ ( hAPP_A1374816149t_bool @ SY842 @ SY847 ) ) ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY845 @ SY846 ) ) @ ( hAPP_f695124765t_bool @ f @ SY842 ) ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY843 @ SY844 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1023]) ).

thf(1302,plain,
    ! [SV128: $i] :
      ( ( ! [SY848: $i,SY849: $i,SY850: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SY848 ) @ ( pi_boo1877522301le_alt @ SY849 @ SY850 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SY848 @ SV128 ) ) @ ( hAPP_b1024867081t_bool @ SY850 @ SV128 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV128 ) @ SY849 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1024]) ).

thf(1303,plain,
    ! [SV129: $i] :
      ( ( ! [SY851: $i,SY852: $i] :
            ( ( SY851 != SY852 )
            | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV129 ) @ SY852 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV129 ) @ SY851 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1025]) ).

thf(1304,plain,
    ! [SV130: $i] :
      ( ( ! [SY853: $i] :
            ( ~ ( is_Arr553848933le_alt @ SY853 )
            | ( is_fun282293932t_bool @ ( hAPP_A619995676t_bool @ SV130 @ SY853 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1026]) ).

thf(1305,plain,
    ! [SV131: $i] :
      ( ( ! [SY854: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV131 ) @ SY854 ) )
            | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY854 ) @ SV131 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1027]) ).

thf(1306,plain,
    ! [SV132: $i] :
      ( ( ~ ( ~ ( ~ ! [SY855: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY855 ) )
                | ! [SY856: $i,SY857: $i] :
                    ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY856 )
                          | ~ ( is_Arr553848933le_alt @ SY857 ) )
                    | ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ SY856 @ SY857 ) ) ) ) )
            | ~ ( ~ ! [SY858: $i,SY859: $i] :
                      ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY858 )
                            | ~ ( is_Arr553848933le_alt @ SY859 ) )
                      | ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ SY858 @ SY859 ) ) ) )
                | ! [SY860: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY860 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1028]) ).

thf(1307,plain,
    ! [SV133: $i] :
      ( ( ! [SY861: $i,SY862: $i,SY863: $i,SY864: $i,SY865: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY862 )
                              | ~ ( is_Arr553848933le_alt @ SY863 ) )
                        | ~ ( is_Arr553848933le_alt @ SY864 ) )
                  | ~ ( is_Arr553848933le_alt @ SY865 ) )
            | ~ ( ( SY864 != SY865 ) )
            | ~ ( ( SY862 != SY863 ) )
            | ~ ( ( SY864 != SY863 ) )
            | ~ ( ( SY865 != SY862 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY861 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY866: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY866 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY864 @ SY865 ) ) @ ( hAPP_A1374816149t_bool @ SY861 @ SY866 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY862 @ SY863 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY866 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY862 @ SY863 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY866 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY864 @ SY865 ) ) @ ( hAPP_A1374816149t_bool @ SY861 @ SY866 ) ) ) ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY864 @ SY865 ) ) @ ( hAPP_f695124765t_bool @ f @ SY861 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY862 @ SY863 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY862 @ SY863 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY864 @ SY865 ) ) @ ( hAPP_f695124765t_bool @ f @ SY861 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1029]) ).

thf(1308,plain,
    ! [SV134: $i] :
      ( ( ! [SY867: $i] :
            ( ~ ( is_fun282293932t_bool @ SV134 )
            | ( is_fun432044380l_bool @ ( pi_Pro2135156861t_bool @ SV134 @ SY867 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1030]) ).

thf(1309,plain,
    ! [SV135: $i] :
      ( ( ! [SY868: $i] :
            ( ~ ( is_fun282293932t_bool @ SV135 )
            | ( is_bool @ ( hAPP_P2075002375t_bool @ SV135 @ SY868 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1031]) ).

thf(1310,plain,
    ! [SV136: $i] :
      ( ( ! [SY869: $i,SY870: $i] :
            ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SY869 ) @ SY870 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SY870 ) @ SY869 ) )
            | ( hBOOL @ SV136 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1032]) ).

thf(1311,plain,
    ! [SV137: $i] :
      ( ( ! [SY871: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV137 ) @ SY871 ) )
            | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY871 ) @ SV137 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1033]) ).

thf(1312,plain,
    ! [SV138: $i] :
      ( ( ~ ( is_fun282293932t_bool @ SV138 )
        | ( is_fun282293932t_bool @ ( collec1711870802le_alt @ SV138 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1034]) ).

thf(1313,plain,
    ! [SV139: $i] :
      ( ( ! [SY872: $i] :
            ( ( SV139 != SY872 )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ fequal_nat @ SV139 ) @ SY872 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1035]) ).

thf(1314,plain,
    ! [SV140: $i] :
      ( ( ! [SY873: $i,SY874: $i,SY875: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SY873 ) @ ( pi_fun525942951l_bool @ SY874 @ SY875 ) ) )
            | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV140 ) @ SY874 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SY873 @ SV140 ) ) @ ( hAPP_f497468491l_bool @ SY875 @ SV140 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1036]) ).

thf(1315,plain,
    ! [SV141: $i] :
      ( ( ! [SY876: $i] :
            ( ~ ( is_fun282293932t_bool @ SV141 )
            | ( ( hAPP_b1024867081t_bool @ ( hAPP_f1520552209t_bool @ cOMBK_697786936l_bool @ SV141 ) @ SY876 )
              = SV141 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1037]) ).

thf(1316,plain,
    ! [SV142: $i] :
      ( ( ! [SY877: $i] :
            ~ ( ~ ( ~ ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV142 ) @ SY877 ) )
                  | ! [SY878: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY878 ) @ arrow_413697182e_Prof ) )
                      | ( ( hAPP_f695124765t_bool @ SV142 @ SY878 )
                        = ( hAPP_A1374816149t_bool @ SY878 @ SY877 ) ) ) )
              | ~ ( ~ ! [SY879: $i] :
                        ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY879 ) @ arrow_413697182e_Prof ) )
                        | ( ( hAPP_f695124765t_bool @ SV142 @ SY879 )
                          = ( hAPP_A1374816149t_bool @ SY879 @ SY877 ) ) )
                  | ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV142 ) @ SY877 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1038]) ).

thf(1317,plain,
    ! [SV143: $i] :
      ( ( ~ ( ~ ( ~ ~ ~ ( ~ ( ~ ( hBOOL @ SV143 )
                            | ( hBOOL @ top_top_bool ) )
                        | ~ ( ~ ( hBOOL @ top_top_bool )
                            | ( hBOOL @ SV143 ) ) )
                | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
                | ~ ~ ( ~ ( ~ ( hBOOL @ SV143 )
                          | ( hBOOL @ top_top_bool ) )
                      | ~ ( ~ ( hBOOL @ top_top_bool )
                          | ( hBOOL @ SV143 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1039]) ).

thf(1318,plain,
    ! [SV144: $i] :
      ( ( ! [SY880: $i] :
            ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV144 ) @ SY880 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SY880 ) @ SV144 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1040]) ).

thf(1319,plain,
    ! [SV145: $i] :
      ( ( ! [SY881: $i,SY882: $i,SY883: $i] :
            ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY881 ) @ ( pi_Arr688267935t_bool @ SY882 @ SY883 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV145 ) @ SY882 ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SY881 @ SV145 ) ) @ ( hAPP_A1944296755l_bool @ SY883 @ SV145 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1041]) ).

thf(1320,plain,
    ! [SV146: $i] :
      ( ( ~ ( is_fun959573582l_bool @ SV146 )
        | ( is_fun959573582l_bool @ ( collec1580242420t_bool @ SV146 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1042]) ).

thf(1321,plain,
    ! [SV147: $i] :
      ( ( ! [SY884: $i,SY885: $i,SY886: $i] :
            ( ~ ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SY884 ) @ ( pi_Arr1511953043t_bool @ SY885 @ SY886 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SY884 @ SV147 ) ) @ ( hAPP_A1912483895l_bool @ SY886 @ SV147 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV147 ) @ SY885 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1043]) ).

thf(1322,plain,
    ! [SV148: $i] :
      ( ( ! [SY887: $i,SY888: $i] :
            ( ~ ( is_Arr625519182e_indi @ SV148 )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SY888 @ top_to1256827021i_bool ) )
            | ( ( hAPP_A588601142di_nat @ SY888 @ SV148 )
             != SY887 )
            | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ SY888 ) @ SY887 )
              = SV148 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1044]) ).

thf(1323,plain,
    ! [SV149: $i] :
      ( ( ! [SY889: $i] :
            ( ~ ( is_fun282293932t_bool @ SY889 )
            | ( ( hAPP_f1673487381t_bool @ ( hAPP_f159424297t_bool @ ( hAPP_b1915039793t_bool @ if_fun1419651289t_bool @ fFalse ) @ SV149 ) @ SY889 )
              = SY889 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1045]) ).

thf(1324,plain,
    ! [SV150: $i] :
      ( ( ! [SY890: $i] :
            ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV150 ) @ SY890 ) )
            | ~ ( ( SV150 != SY890 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY890 ) @ SV150 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1046]) ).

thf(1325,plain,
    ! [SV151: $i] :
      ( ( ! [SY891: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV151 ) @ SY891 ) )
            | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY891 ) @ SV151 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1047]) ).

thf(1326,plain,
    ! [SV152: $i] :
      ( ( ! [SY892: $i] :
            ( ~ ( is_bool @ SV152 )
            | ( ( hAPP_f745298353l_bool @ ( hAPP_b1965422783l_bool @ cOMBK_977355664t_bool @ SV152 ) @ SY892 )
              = SV152 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1048]) ).

thf(1327,plain,
    ! [SV153: $i] :
      ( ( ! [SY893: $i,SY894: $i,SY895: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SY893 ) @ ( pi_Arr372473371t_bool @ SY894 @ SY895 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SY893 @ SV153 ) ) @ ( hAPP_A1964572607l_bool @ SY895 @ SV153 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV153 ) @ SY894 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1049]) ).

thf(1328,plain,
    ! [SV154: $i] :
      ( ( ! [SY896: $i] :
            ( ~ ( is_fun282293932t_bool @ SY896 )
            | ( is_fun282293932t_bool @ ( hAPP_f1673487381t_bool @ SV154 @ SY896 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1050]) ).

thf(1329,plain,
    ! [SV155: $i] :
      ( ( ! [SY897: $i,SY898: $i,SY899: $i] :
            ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SY897 ) @ ( pi_fun433100839t_bool @ SY898 @ SY899 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SY897 @ SV155 ) ) @ ( hAPP_f861484971l_bool @ SY899 @ SV155 ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV155 ) @ SY898 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1051]) ).

thf(1330,plain,
    ! [SV156: $i] :
      ( ( ! [SY900: $i] :
            ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV156 ) @ SY900 ) )
                  | ( hBOOL @ ( hAPP_f1636546729l_bool @ SY900 @ SV156 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f1636546729l_bool @ SY900 @ SV156 ) )
                  | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV156 ) @ SY900 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1052]) ).

thf(1331,plain,
    ! [SV157: $i] :
      ( ( ! [SY901: $i,SY902: $i,SY903: $i] :
            ( ~ ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SY901 ) @ ( pi_fun1494794527l_bool @ SY902 @ SY903 ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV157 ) @ SY902 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SY901 @ SV157 ) ) @ ( hAPP_f313042899l_bool @ SY903 @ SV157 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1053]) ).

thf(1332,plain,
    ! [SV158: $i] :
      ( ( ! [SY904: $i,SY905: $i,SY906: $i] :
            ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV158 )
                  | ~ ( is_Arr625519182e_indi @ SY904 ) )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SY905 @ SY906 ) )
            | ( ( hAPP_A588601142di_nat @ SY905 @ SV158 )
             != ( hAPP_A588601142di_nat @ SY905 @ SY904 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV158 ) @ SY906 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY904 ) @ SY906 ) )
            | ( SV158 = SY904 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1054]) ).

thf(1333,plain,
    ! [SV159: $i] :
      ( ( ! [SY907: $i,SY908: $i,SY909: $i] :
            ( ~ ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SY907 ) @ ( pi_fun972956463e_indi @ SY908 @ ( hAPP_f1903519657i_bool @ cOMBK_2076140708t_bool @ SY909 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV159 ) @ SY908 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SY907 @ SV159 ) ) @ SY909 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1055]) ).

thf(1334,plain,
    ! [SV160: $i] :
      ( ( ! [SY910: $i,SY911: $i] :
            ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV160 )
                  | ~ ( is_Arr625519182e_indi @ SY910 ) )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SY911 @ top_to1256827021i_bool ) )
            | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SY911 @ SV160 )
                     != ( hAPP_A588601142di_nat @ SY911 @ SY910 ) )
                    | ( SV160 = SY910 ) )
                | ~ ( ( SV160 != SY910 )
                    | ( ( hAPP_A588601142di_nat @ SY911 @ SV160 )
                      = ( hAPP_A588601142di_nat @ SY911 @ SY910 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1056]) ).

thf(1335,plain,
    ! [SV161: $i] :
      ( ( ! [SY912: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV161 ) @ SY912 ) )
            | ( SV161 != SY912 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1057]) ).

thf(1336,plain,
    ! [SV162: $i] :
      ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
                | ! [SY913: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY913 ) @ arrow_413697182e_Prof ) )
                    | ! [SY914: $i,SY915: $i] :
                        ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY914 )
                              | ~ ( is_Arr553848933le_alt @ SY915 ) )
                        | ~ ! [SX4: $i] :
                              ( ~ ( is_Arr625519182e_indi @ SX4 )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY914 @ SY915 ) ) @ ( hAPP_A1374816149t_bool @ SY913 @ SX4 ) ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY914 @ SY915 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SY913 ) ) ) ) ) )
            | ~ ( ~ ! [SY917: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY917 ) @ arrow_413697182e_Prof ) )
                      | ! [SY918: $i,SY919: $i] :
                          ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY918 )
                                | ~ ( is_Arr553848933le_alt @ SY919 ) )
                          | ~ ! [SX4: $i] :
                                ( ~ ( is_Arr625519182e_indi @ SX4 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY918 @ SY919 ) ) @ ( hAPP_A1374816149t_bool @ SY917 @ SX4 ) ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY918 @ SY919 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SY917 ) ) ) ) )
                | ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1058]) ).

thf(1337,plain,
    ! [SV163: $i] :
      ( ( ! [SY921: $i,SY922: $i] :
            ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SY921 ) @ SY922 ) )
            | ( SY922 != SV163 )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SY921 ) @ SV163 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1059]) ).

thf(1338,plain,
    ! [SV164: $i] :
      ( ( ! [SY923: $i] :
            ( ~ ( is_fun917378774i_bool @ SV164 )
            | ( ( hAPP_f355113919i_bool @ ( hAPP_f1677452273i_bool @ cOMBK_1372975190t_bool @ SV164 ) @ SY923 )
              = SV164 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1060]) ).

thf(1339,plain,
    ! [SV165: $i] :
      ( ( ! [SY924: $i] :
            ( ~ ( is_fun917378774i_bool @ SV165 )
            | ( ( hAPP_P907763049i_bool @ ( hAPP_f1970593179i_bool @ cOMBK_100791596le_alt @ SV165 ) @ SY924 )
              = SV165 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1061]) ).

thf(1340,plain,
    ! [SV166: $i] :
      ( ( ! [SY925: $i,SY926: $i] :
            ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SY925 ) @ SY926 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV166 ) @ SY925 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV166 ) @ SY926 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1062]) ).

thf(1341,plain,
    ! [SV167: $i] :
      ( ( ! [SY927: $i] :
            ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV167 ) @ SY927 ) )
            | ( SV167 != SY927 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1063]) ).

thf(1342,plain,
    ! [SV168: $i] :
      ( ( ! [SY928: $i] :
            ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV168 )
                  | ~ ( is_Arr553848933le_alt @ SY928 ) )
            | ~ ( ( SV168 != SY928 ) )
            | ~ ! [SY929: $i] :
                  ~ ~ ( ~ ~ ( ~ ( is_fun282293932t_bool @ SY929 )
                            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY929 ) @ arrow_1239002508le_Lin ) ) )
                      | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV168 @ SY928 ) ) @ SY929 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1064]) ).

thf(1343,plain,
    ! [SV169: $i] :
      ( ( ! [SY930: $i,SY931: $i,SY932: $i] :
            ( ~ ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SY930 ) @ ( pi_Pro437273841e_indi @ SY931 @ SY932 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SY930 @ SV169 ) ) @ ( hAPP_P907763049i_bool @ SY932 @ SV169 ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV169 ) @ SY931 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1065]) ).

thf(1344,plain,
    ! [SV170: $i] :
      ( ( ! [SY933: $i] :
            ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV170 ) @ SY933 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SY933 ) @ SV170 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1066]) ).

thf(1345,plain,
    ! [SV171: $i] :
      ( ( ! [SY934: $i] :
            ( ~ ( is_fun959573582l_bool @ SV171 )
            | ( ( hAPP_A1912483895l_bool @ ( hAPP_f813556705l_bool @ cOMBK_116240846e_indi @ SV171 ) @ SY934 )
              = SV171 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1067]) ).

thf(1346,plain,
    ! [SV172: $i] :
      ( ( ! [SY935: $i] :
            ( ~ ( is_fun282293932t_bool @ SY935 )
            | ( is_fun432044380l_bool @ ( hAPP_f2056167603l_bool @ SV172 @ SY935 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1068]) ).

thf(1347,plain,
    ! [SV173: $i] :
      ( ( ! [SY936: $i,SY937: $i,SY938: $i] :
            ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY937 )
                  | ~ ( is_Arr553848933le_alt @ SY938 ) )
            | ~ ( ( SY937 != SY938 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY936 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY939: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY939 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY937 @ SY938 ) ) @ ( hAPP_A1374816149t_bool @ SY936 @ SY939 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY938 @ SY937 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY939 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY938 @ SY937 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY939 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY937 @ SY938 ) ) @ ( hAPP_A1374816149t_bool @ SY936 @ SY939 ) ) ) ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY937 @ SY938 ) ) @ ( hAPP_f695124765t_bool @ f @ SY936 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY938 @ SY937 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY938 @ SY937 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY937 @ SY938 ) ) @ ( hAPP_f695124765t_bool @ f @ SY936 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1069]) ).

thf(1348,plain,
    ! [SV174: $i] :
      ( ( ! [SY940: $i,SY941: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY940 ) @ SY941 ) )
            | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY941 ) @ SV174 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY940 ) @ SV174 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1070]) ).

thf(1349,plain,
    ! [SV175: $i] :
      ( ( ! [SY942: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV175 ) @ SY942 ) )
            | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY942 ) @ SV175 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1071]) ).

thf(1350,plain,
    ! [SV176: $i] :
      ( ( ! [SY943: $i] :
            ( ~ ( is_fun917378774i_bool @ SV176 )
            | ( is_fun1016509681e_indi @ ( hilber1792103167di_nat @ SV176 @ SY943 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1072]) ).

thf(1351,plain,
    ! [SV177: $i] :
      ( ( ! [SY944: $i,SY945: $i,SY946: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SY944 ) @ ( pi_boo1877522301le_alt @ SY945 @ ( hAPP_f1520552209t_bool @ cOMBK_697786936l_bool @ SY946 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV177 ) @ SY945 ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SY944 @ SV177 ) ) @ SY946 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1073]) ).

thf(1352,plain,
    ! [SV178: $i] :
      ( ( ! [SY947: $i] :
            ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV178 ) @ SY947 ) )
                  | ( hBOOL @ ( hAPP_f785543729l_bool @ SY947 @ SV178 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ SY947 @ SV178 ) )
                  | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV178 ) @ SY947 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1074]) ).

thf(1353,plain,
    ! [SV179: $i] :
      ( ( ! [SY948: $i] :
            ( ~ ( is_bool @ SY948 )
            | ( is_fun631676118l_bool @ ( hAPP_b990649139l_bool @ SV179 @ SY948 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1075]) ).

thf(1354,plain,
    ! [SV180: $i] :
      ( ( ! [SY949: $i] :
            ( ~ ( is_Arr625519182e_indi @ SY949 )
            | ( is_fun959573582l_bool @ ( hAPP_A1912483895l_bool @ SV180 @ SY949 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1076]) ).

thf(1355,plain,
    ! [SV181: $i] :
      ( ( ! [SY950: $i,SY951: $i,SY952: $i] :
            ( ~ ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SY950 ) @ ( pi_fun1494794527l_bool @ SY951 @ SY952 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SY950 @ SV181 ) ) @ ( hAPP_f313042899l_bool @ SY952 @ SV181 ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV181 ) @ SY951 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1077]) ).

thf(1356,plain,
    ! [SV182: $i] :
      ( ( ! [SY953: $i] :
            ( ~ ( is_fun631676118l_bool @ SV182 )
            | ( ( hAPP_A1964572607l_bool @ ( hAPP_f1697527281l_bool @ cOMBK_1292462166e_indi @ SV182 ) @ SY953 )
              = SV182 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1078]) ).

thf(1357,plain,
    ! [SV183: $i] :
      ( ( ! [SY954: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV183 ) @ SY954 ) )
            | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY954 ) @ SV183 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1079]) ).

thf(1358,plain,
    ! [SV184: $i] :
      ( ( ! [SY955: $i] :
            ( ~ ( is_fun917378774i_bool @ SY955 )
            | ( is_bool @ ( inj_on24934938di_nat @ SV184 @ SY955 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1080]) ).

thf(1359,plain,
    ! [SV185: $i] :
      ( ( ~ ( is_fun917378774i_bool @ SV185 )
        | ( ( collec45183100e_indi @ SV185 )
          = SV185 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1081]) ).

thf(1360,plain,
    ! [SV186: $i] :
      ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f1636546729l_bool @ top_to1194196741l_bool @ SV186 ) )
                | ( hBOOL @ top_top_bool ) )
            | ~ ( ~ ( hBOOL @ top_top_bool )
                | ( hBOOL @ ( hAPP_f1636546729l_bool @ top_to1194196741l_bool @ SV186 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1082]) ).

thf(1361,plain,
    ! [SV187: $i] :
      ( ( ~ ( is_bool @ SV187 )
        | ( SV187 = fTrue )
        | ( SV187 = fFalse ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1083]) ).

thf(1362,plain,
    ! [SV188: $i] :
      ( ( ! [SY956: $i] :
            ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV188 ) @ SY956 ) )
                  | ( hBOOL @ ( hAPP_P2075002375t_bool @ SY956 @ SV188 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_P2075002375t_bool @ SY956 @ SV188 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV188 ) @ SY956 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1084]) ).

thf(1363,plain,
    ! [SV189: $i] :
      ( ( ! [SY957: $i,SY958: $i,SY959: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV189 )
                        | ~ ( is_Arr553848933le_alt @ SY957 ) )
                  | ~ ( is_Arr553848933le_alt @ SY959 ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SY957 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SY958 ) @ SY959 ) ) )
                    | ~ ( ~ ~ ( ~ ( ( SV189 != SY959 ) )
                              | ~ ( ( SY957 != SY959 )
                                  | ( SV189 != SY957 ) ) )
                        | ~ ( ~ ( ( SY957 != SY959 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SY957 ) ) @ SY958 ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV189 != SY959 ) )
                                | ~ ( ( SY957 != SY959 )
                                    | ( SV189 != SY957 ) ) )
                          | ~ ( ~ ( ( SY957 != SY959 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SY957 ) ) @ SY958 ) ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SY957 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SY958 ) @ SY959 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1085]) ).

thf(1364,plain,
    ! [SV190: $i] :
      ( ( ! [SY960: $i,SY961: $i,SY962: $i] :
            ( ~ ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SY960 ) @ ( pi_fun972956463e_indi @ SY961 @ SY962 ) ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV190 ) @ SY961 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SY960 @ SV190 ) ) @ ( hAPP_f352490559i_bool @ SY962 @ SV190 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1086]) ).

thf(1365,plain,
    ! [SV191: $i] :
      ( ( ! [SY963: $i] :
            ( ~ ( is_fun282293932t_bool @ SY963 )
            | ( is_fun917378774i_bool @ ( hAPP_f352490559i_bool @ SV191 @ SY963 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1087]) ).

thf(1366,plain,
    ! [SV192: $i] :
      ( ( ! [SY964: $i,SY965: $i] :
            ( ( SY964 != SY965 )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV192 ) @ SY965 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV192 ) @ SY964 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1088]) ).

thf(1367,plain,
    ! [SV193: $i] :
      ( ( ! [SY966: $i,SY967: $i,SY968: $i] :
            ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV193 )
                  | ~ ( is_Arr625519182e_indi @ SY966 ) )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SY967 @ SY968 ) )
            | ~ ( ( SV193 != SY966 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV193 ) @ SY968 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY966 ) @ SY968 ) )
            | ( ( hAPP_A588601142di_nat @ SY967 @ SV193 )
             != ( hAPP_A588601142di_nat @ SY967 @ SY966 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1089]) ).

thf(1368,plain,
    ! [SV194: $i] :
      ( ( ~ ! [SY969: $i,SY970: $i] :
              ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SY969 )
                    | ~ ( is_Arr625519182e_indi @ SY970 ) )
              | ( ( hAPP_A588601142di_nat @ SV194 @ SY969 )
               != ( hAPP_A588601142di_nat @ SV194 @ SY970 ) )
              | ( SY969 = SY970 ) )
        | ( hBOOL @ ( inj_on24934938di_nat @ SV194 @ top_to1256827021i_bool ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1090]) ).

thf(1369,plain,
    ! [SV195: $i] :
      ( ( ~ ( is_fun959573582l_bool @ SV195 )
        | ~ ( ~ ( ~ ( ( SV195 != top_to1194196741l_bool ) )
                | ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ SV195 ) @ top_to1194196741l_bool ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ SV195 ) @ top_to1194196741l_bool ) )
                | ( SV195 != top_to1194196741l_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1091]) ).

thf(1370,plain,
    ! [SV196: $i] :
      ( ( ! [SY971: $i,SY972: $i] :
            ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV196 )
                  | ~ ( is_Arr553848933le_alt @ SY971 ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY972 ) @ arrow_1239002508le_Lin ) )
            | ~ ( ( SV196 != SY971 ) )
            | ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SY971 ) ) @ SY972 ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY971 @ SV196 ) ) @ SY972 ) ) )
                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY971 @ SV196 ) ) @ SY972 ) )
                    | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SY971 ) ) @ SY972 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1092]) ).

thf(1371,plain,
    ! [SV197: $i] :
      ( ( ! [SY973: $i,SY974: $i,SY975: $i] :
            ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV197 )
                  | ~ ( is_Arr625519182e_indi @ SY973 ) )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SY974 @ SY975 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY973 ) @ SY975 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SY975 ) )
            | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SY974 @ SY973 )
                     != ( hAPP_A588601142di_nat @ SY974 @ SV197 ) )
                    | ( SY973 = SV197 ) )
                | ~ ( ( SY973 != SV197 )
                    | ( ( hAPP_A588601142di_nat @ SY974 @ SY973 )
                      = ( hAPP_A588601142di_nat @ SY974 @ SV197 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1093]) ).

thf(1372,plain,
    ! [SV198: $i] :
      ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ top_to2005687013l_bool @ SV198 ) )
                | ( hBOOL @ top_top_bool ) )
            | ~ ( ~ ( hBOOL @ top_top_bool )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ top_to2005687013l_bool @ SV198 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1094]) ).

thf(1373,plain,
    ( ( c = d )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1095]) ).

thf(1374,plain,
    ! [SV199: $i] :
      ( ( ! [SY976: $i,SY977: $i,SY978: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SY976 ) @ ( pi_boo2007389459t_bool @ SY977 @ ( hAPP_f2135750719l_bool @ cOMBK_971068024l_bool @ SY978 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV199 ) @ SY977 ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SY976 @ SV199 ) ) @ SY978 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1096]) ).

thf(1375,plain,
    ! [SV200: $i] :
      ( ( ! [SY979: $i] :
            ( ~ ( is_bool @ SY979 )
            | ( is_fun432044380l_bool @ ( hAPP_b1965422783l_bool @ SV200 @ SY979 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1097]) ).

thf(1376,plain,
    ! [SV201: $i] :
      ( ( ! [SY980: $i,SY981: $i,SY982: $i] :
            ( ~ ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SY980 ) @ ( pi_Arr149813489le_alt @ SY981 @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ SY982 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV201 ) @ SY981 ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SY980 @ SV201 ) ) @ SY982 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1098]) ).

thf(1377,plain,
    ! [SV202: $i] :
      ( ( ! [SY983: $i] :
            ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV202 ) @ SY983 ) )
                  | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY983 ) @ SV202 ) )
                  | ( SV202 = SY983 ) )
              | ~ ( ~ ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY983 ) @ SV202 ) )
                      | ( SV202 = SY983 ) )
                  | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV202 ) @ SY983 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1099]) ).

thf(1378,plain,
    ! [SV203: $i] :
      ( ( ~ ( is_fun917378774i_bool @ SV203 )
        | ~ ( ~ ( ~ ( ( SV203 != top_to1256827021i_bool ) )
                | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV203 ) @ top_to1256827021i_bool ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV203 ) @ top_to1256827021i_bool ) )
                | ( SV203 != top_to1256827021i_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1100]) ).

thf(1379,plain,
    ! [SV204: $i] :
      ( ( ! [SY984: $i,SY985: $i,SY986: $i] :
            ( ~ ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SY984 ) @ ( pi_fun1494794527l_bool @ SY985 @ ( hAPP_f219827985l_bool @ cOMBK_886533338t_bool @ SY986 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV204 ) @ SY985 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SY984 @ SV204 ) ) @ SY986 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1101]) ).

thf(1380,plain,
    ! [SV205: $i] :
      ( ( ! [SY987: $i] :
            ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV205 ) @ SY987 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ SY987 @ SV205 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ SY987 @ SV205 ) )
                  | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV205 ) @ SY987 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1102]) ).

thf(1381,plain,
    ! [SV206: $i] :
      ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) )
                    | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                        | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                                 != n )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
                            | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                                     != n ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) ) ) )
            | ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) )
                      | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                                   != n )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
                              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                                       != n ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1103]) ).

thf(1382,plain,
    ! [SV207: $i] :
      ( ( ! [SY988: $i] :
            ( ~ ( is_fun631676118l_bool @ SV207 )
            | ( is_bool @ ( hAPP_f785543729l_bool @ SV207 @ SY988 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1104]) ).

thf(1383,plain,
    ! [SV208: $i] :
      ( ( ! [SY989: $i] :
            ~ ( ~ ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SY989 ) )
                  | ! [SY990: $i] :
                      ( ~ ( is_Arr625519182e_indi @ SY990 )
                      | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY990 ) @ SY989 ) )
                      | ! [SY991: $i] :
                          ( ~ ( is_Arr625519182e_indi @ SY991 )
                          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY991 ) @ SY989 ) )
                          | ( ( hAPP_A588601142di_nat @ SV208 @ SY990 )
                           != ( hAPP_A588601142di_nat @ SV208 @ SY991 ) )
                          | ( SY990 = SY991 ) ) ) )
              | ~ ( ~ ! [SY992: $i] :
                        ( ~ ( is_Arr625519182e_indi @ SY992 )
                        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY992 ) @ SY989 ) )
                        | ! [SY993: $i] :
                            ( ~ ( is_Arr625519182e_indi @ SY993 )
                            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY993 ) @ SY989 ) )
                            | ( ( hAPP_A588601142di_nat @ SV208 @ SY992 )
                             != ( hAPP_A588601142di_nat @ SV208 @ SY993 ) )
                            | ( SY992 = SY993 ) ) )
                  | ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SY989 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1105]) ).

thf(1384,plain,
    ! [SV209: $i] :
      ( ( ! [SY994: $i,SY995: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY994 ) @ SY995 ) )
            | ( SY995 != SV209 )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY994 ) @ SV209 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1106]) ).

thf(1385,plain,
    ! [SV210: $i] :
      ( ( ! [SY996: $i] :
            ( ~ ( is_fun917378774i_bool @ SV210 )
            | ( is_fun959573582l_bool @ ( pi_Arr688267935t_bool @ SV210 @ SY996 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1107]) ).

thf(1386,plain,
    ! [SV211: $i] :
      ( ( ! [SY997: $i] :
            ( ~ ( is_fun432044380l_bool @ SY997 )
            | ( is_bool @ ( hAPP_f503012287l_bool @ SV211 @ SY997 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1108]) ).

thf(1387,plain,
    ! [SV212: $i] :
      ( ( ! [SY998: $i] :
            ( ~ ( is_fun1016509681e_indi @ SV212 )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SY998 @ top_to1256827021i_bool ) )
            | ~ ! [SY999: $i] :
                  ( ( hAPP_A588601142di_nat @ SY998 @ ( hAPP_n385347014e_indi @ SV212 @ SY999 ) )
                  = SY999 )
            | ( ( hilber1792103167di_nat @ top_to1256827021i_bool @ SY998 )
              = SV212 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1109]) ).

thf(1388,plain,
    ! [SV213: $i] :
      ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
                | ! [SY1000: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1000 ) @ arrow_413697182e_Prof ) )
                    | ! [SY1001: $i] :
                        ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1001 ) @ arrow_413697182e_Prof ) )
                        | ! [SY1002: $i,SY1003: $i] :
                            ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1002 )
                                  | ~ ( is_Arr553848933le_alt @ SY1003 ) )
                            | ~ ! [SX5: $i] :
                                  ( ~ ( is_Arr625519182e_indi @ SX5 )
                                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1000 @ SX5 ) ) )
                                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1001 @ SX5 ) ) ) )
                                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1001 @ SX5 ) ) )
                                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1000 @ SX5 ) ) ) ) ) )
                            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1000 ) ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1001 ) ) ) )
                                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1001 ) ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1000 ) ) ) ) ) ) ) ) )
            | ~ ( ~ ! [SY1005: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1005 ) @ arrow_413697182e_Prof ) )
                      | ! [SY1006: $i] :
                          ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1006 ) @ arrow_413697182e_Prof ) )
                          | ! [SY1007: $i,SY1008: $i] :
                              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1007 )
                                    | ~ ( is_Arr553848933le_alt @ SY1008 ) )
                              | ~ ! [SX5: $i] :
                                    ( ~ ( is_Arr625519182e_indi @ SX5 )
                                    | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1005 @ SX5 ) ) )
                                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1006 @ SX5 ) ) ) )
                                        | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1006 @ SX5 ) ) )
                                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1005 @ SX5 ) ) ) ) ) )
                              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1005 ) ) )
                                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1006 ) ) ) )
                                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1006 ) ) )
                                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1005 ) ) ) ) ) ) ) )
                | ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1110]) ).

thf(1389,plain,
    ! [SV214: $i] :
      ( ( ! [SY1010: $i,SY1011: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY1010 ) @ SY1011 ) )
            | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY1011 ) @ SY1010 ) )
            | ( hBOOL @ SV214 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1111]) ).

thf(1390,plain,
    ! [SV215: $i] :
      ( ( ! [SY1012: $i] :
            ( ~ ( ( SV215 != SY1012 ) )
            | ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV215 ) @ SY1012 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY1012 ) @ SV215 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1112]) ).

thf(1391,plain,
    ! [SV216: $i] :
      ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ top_to40512653l_bool @ SV216 ) )
                | ( hBOOL @ top_top_bool ) )
            | ~ ( ~ ( hBOOL @ top_top_bool )
                | ( hBOOL @ ( hAPP_f785543729l_bool @ top_to40512653l_bool @ SV216 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1113]) ).

thf(1392,plain,
    ! [SV217: $i] :
      ( ( ! [SY1013: $i] :
            ( ~ ( is_fun1016509681e_indi @ SV217 )
            | ( is_Arr625519182e_indi @ ( hAPP_n385347014e_indi @ SV217 @ SY1013 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1114]) ).

thf(1393,plain,
    ! [SV218: $i] :
      ( ( ! [SY1014: $i,SY1015: $i,SY1016: $i] :
            ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY1014 ) @ ( pi_Pro2135156861t_bool @ SY1015 @ ( hAPP_f1724001331l_bool @ cOMBK_2008994872le_alt @ SY1016 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV218 ) @ SY1015 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SY1014 @ SV218 ) ) @ SY1016 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1115]) ).

thf(1394,plain,
    ! [SV219: $i] :
      ( ( ! [SY1017: $i] :
            ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SY1017 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
            | ~ ! [SY1018: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1018 ) @ arrow_413697182e_Prof ) )
                  | ! [SY1019: $i,SY1020: $i] :
                      ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1019 )
                            | ~ ( is_Arr553848933le_alt @ SY1020 ) )
                      | ~ ( ( SY1019 != SY1020 ) )
                      | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1019 @ SY1020 ) ) @ ( hAPP_A1374816149t_bool @ SY1018 @ SV219 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1019 @ SY1020 ) ) @ ( hAPP_f695124765t_bool @ SY1017 @ SY1018 ) ) ) ) )
            | ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SY1017 ) @ SV219 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1116]) ).

thf(1395,plain,
    ! [SV220: $i] :
      ( ( ! [SY1021: $i,SY1022: $i,SY1023: $i] :
            ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY1021 ) @ ( pi_Pro2135156861t_bool @ SY1022 @ SY1023 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SY1021 @ SV220 ) ) @ ( hAPP_P2127852789l_bool @ SY1023 @ SV220 ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV220 ) @ SY1022 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1117]) ).

thf(1396,plain,
    ! [SV221: $i] :
      ( ( ! [SY1024: $i,SY1025: $i] :
            ( ( SY1024 != SY1025 )
            | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY1025 ) @ SV221 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY1024 ) @ SV221 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1118]) ).

thf(1397,plain,
    ! [SV222: $i] :
      ( ( ! [SY1026: $i] :
            ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV222 ) @ SY1026 ) )
            | ( SV222 != SY1026 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1119]) ).

thf(1398,plain,
    ! [SV223: $i] :
      ( ( ! [SY1027: $i] :
            ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV223 ) @ SY1027 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SY1027 ) @ SV223 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1120]) ).

thf(1399,plain,
    ! [SV224: $i] :
      ( ( ! [SY1028: $i,SY1029: $i,SY1030: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SY1028 ) @ ( pi_fun2075749915e_indi @ SY1029 @ SY1030 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SY1028 @ SV224 ) ) @ ( hAPP_f355113919i_bool @ SY1030 @ SV224 ) ) )
            | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV224 ) @ SY1029 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1121]) ).

thf(1400,plain,
    ! [SV225: $i] :
      ( ( ! [SY1031: $i,SY1032: $i] :
            ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV225 )
                  | ~ ( is_Arr625519182e_indi @ SY1031 ) )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SY1032 @ top_to1256827021i_bool ) )
            | ( ( hAPP_A588601142di_nat @ SY1032 @ SV225 )
             != ( hAPP_A588601142di_nat @ SY1032 @ SY1031 ) )
            | ( SV225 = SY1031 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1122]) ).

thf(1401,plain,
    ! [SV226: $i] :
      ( ( ! [SY1033: $i,SY1034: $i,SY1035: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SY1033 ) @ ( pi_boo2007389459t_bool @ SY1034 @ SY1035 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV226 ) @ SY1034 ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SY1033 @ SV226 ) ) @ ( hAPP_b1965422783l_bool @ SY1035 @ SV226 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1123]) ).

thf(1402,plain,
    ! [SV227: $i] :
      ( ( ! [SY1036: $i] :
            ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV227 ) @ SY1036 ) )
                  | ( hBOOL @ ( hAPP_bool_bool @ SY1036 @ SV227 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_bool_bool @ SY1036 @ SV227 ) )
                  | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV227 ) @ SY1036 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1124]) ).

thf(1403,plain,
    ! [SV228: $i] :
      ( ( ! [SY1037: $i,SY1038: $i,SY1039: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV228 )
                              | ~ ( is_Arr553848933le_alt @ SY1037 ) )
                        | ~ ( is_Arr553848933le_alt @ SY1038 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1039 ) )
            | ~ ( ~ ( ( ( produc171383831le_alt @ SV228 @ SY1037 )
                     != ( produc171383831le_alt @ SY1038 @ SY1039 ) )
                    | ~ ( ( SV228 != SY1038 )
                        | ( SY1037 != SY1039 ) ) )
                | ~ ( ~ ~ ( ( SV228 != SY1038 )
                          | ( SY1037 != SY1039 ) )
                    | ( ( produc171383831le_alt @ SV228 @ SY1037 )
                      = ( produc171383831le_alt @ SY1038 @ SY1039 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1125]) ).

thf(1404,plain,
    ! [SV229: $i] :
      ( ( ! [SY1040: $i,SY1041: $i] :
            ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1040 )
                  | ~ ( is_Arr553848933le_alt @ SY1041 ) )
            | ~ ( ( SY1040 != SY1041 ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV229 ) @ arrow_1239002508le_Lin ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV229 ) @ SY1040 ) @ SY1041 ) ) @ arrow_1239002508le_Lin ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1126]) ).

thf(1405,plain,
    ! [SV230: $i] :
      ( ( ! [SY1042: $i,SY1043: $i,SY1044: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SY1042 ) @ ( pi_boo691944735t_bool @ SY1043 @ SY1044 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SY1042 @ SV230 ) ) @ ( hAPP_b1719629739l_bool @ SY1044 @ SV230 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV230 ) @ SY1043 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1127]) ).

thf(1406,plain,
    ! [SV231: $i] :
      ( ( ! [SY1045: $i] :
            ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV231 ) @ SY1045 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SY1045 ) @ SV231 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1128]) ).

thf(1407,plain,
    ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBC_437064334t_bool @ ( cOMBC_481590946t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ lab ) @ lba ) ) ) ) )
      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBC_437064334t_bool @ ( cOMBC_481590946t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ lab ) @ lba ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1129]) ).

thf(1408,plain,
    ! [SV232: $i] :
      ( ( ! [SY1046: $i,SY1047: $i,SY1048: $i] :
            ( ~ ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SY1046 ) @ ( pi_fun1727820731l_bool @ SY1047 @ ( hAPP_f1667233577l_bool @ cOMBK_1015076504t_bool @ SY1048 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV232 ) @ SY1047 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SY1046 @ SV232 ) ) @ SY1048 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1130]) ).

thf(1409,plain,
    ! [SV233: $i] :
      ( ( ! [SY1049: $i] :
            ( ~ ( is_fun282293932t_bool @ SV233 )
            | ( ( hAPP_A1374816149t_bool @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ SV233 ) @ SY1049 )
              = SV233 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1131]) ).

thf(1410,plain,
    ! [SV234: $i] :
      ( ( ! [SY1050: $i] :
            ( ~ ( is_Arr625519182e_indi @ SY1050 )
            | ( is_fun631676118l_bool @ ( hAPP_A1964572607l_bool @ SV234 @ SY1050 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1132]) ).

thf(1411,plain,
    ! [SV235: $i] :
      ( ( ~ ( is_fun432044380l_bool @ SV235 )
        | ~ ( ~ ( ~ ( ( SV235 != top_to2005687013l_bool ) )
                | ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ SV235 ) @ top_to2005687013l_bool ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ SV235 ) @ top_to2005687013l_bool ) )
                | ( SV235 != top_to2005687013l_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1133]) ).

thf(1412,plain,
    ! [SV236: $i] :
      ( ( ! [SY1051: $i,SY1052: $i,SY1053: $i,SY1054: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1052 )
                        | ~ ( is_Arr553848933le_alt @ SY1053 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1054 ) )
            | ~ ( ( SY1053 != SY1054 ) )
            | ~ ( ( SY1054 != SY1052 ) )
            | ~ ( ( SY1053 != SY1052 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1051 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY1055: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1055 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1053 @ SY1054 ) ) @ ( hAPP_A1374816149t_bool @ SY1051 @ SY1055 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1054 @ SY1052 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1055 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1054 @ SY1052 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1055 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1053 @ SY1054 ) ) @ ( hAPP_A1374816149t_bool @ SY1051 @ SY1055 ) ) ) ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1053 @ SY1054 ) ) @ ( hAPP_f695124765t_bool @ f @ SY1051 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1054 @ SY1052 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1054 @ SY1052 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1053 @ SY1054 ) ) @ ( hAPP_f695124765t_bool @ f @ SY1051 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1134]) ).

thf(1413,plain,
    ! [SV237: $i] :
      ( ( ! [SY1056: $i] :
            ( ~ ( is_bool @ SY1056 )
            | ( is_fun917378774i_bool @ ( hAPP_b1018211123i_bool @ SV237 @ SY1056 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1135]) ).

thf(1414,plain,
    ! [SV238: $i] :
      ( ( ! [SY1057: $i] :
            ( ~ ( is_bool @ SV238 )
            | ( ( hAPP_A1466488369i_bool @ ( hAPP_b1018211123i_bool @ cOMBK_1157044842e_indi @ SV238 ) @ SY1057 )
              = SV238 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1136]) ).

thf(1415,plain,
    ! [SV239: $i] :
      ( ( ! [SY1058: $i,SY1059: $i,SY1060: $i] :
            ( ~ ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SY1058 ) @ ( pi_fun1736243859e_indi @ SY1059 @ ( hAPP_f681113465i_bool @ cOMBK_454107598t_bool @ SY1060 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV239 ) @ SY1059 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SY1058 @ SV239 ) ) @ SY1060 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1137]) ).

thf(1416,plain,
    ! [SV240: $i] :
      ( ( ~ ( ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
                      | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                                   != n )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                                       != n ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
                    | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
            | ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
                      | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
                    | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                        | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                                 != n )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                            | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                                     != n ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1138]) ).

thf(1417,plain,
    ! [SV241: $i] :
      ( ( ! [SY1061: $i] :
            ( ~ ( is_fun432044380l_bool @ SV241 )
            | ( ( hAPP_f861484971l_bool @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ SV241 ) @ SY1061 )
              = SV241 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1139]) ).

thf(1418,plain,
    ! [SV242: $i] :
      ( ( ! [SY1062: $i,SY1063: $i] :
            ( ~ ( is_Arr625519182e_indi @ SV242 )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SY1062 @ SY1063 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV242 ) @ SY1063 ) )
            | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SY1063 @ SY1062 ) @ ( hAPP_A588601142di_nat @ SY1062 @ SV242 ) )
              = SV242 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1140]) ).

thf(1419,plain,
    ! [SV243: $i] :
      ( ( ! [SY1064: $i,SY1065: $i,SY1066: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SY1064 ) @ ( pi_boo691944735t_bool @ SY1065 @ SY1066 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV243 ) @ SY1065 ) )
            | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SY1064 @ SV243 ) ) @ ( hAPP_b1719629739l_bool @ SY1066 @ SV243 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1141]) ).

thf(1420,plain,
    ! [SV244: $i] :
      ( ( ! [SY1067: $i] :
            ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV244 ) @ SY1067 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SY1067 ) @ SV244 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1142]) ).

thf(1421,plain,
    ! [SV245: $i] :
      ( ( ! [SY1068: $i] :
            ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY1068 ) @ arrow_1239002508le_Lin ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SY1068 ) @ SV245 ) ) @ arrow_1239002508le_Lin ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1143]) ).

thf(1422,plain,
    ! [SV246: $i] :
      ( ( ! [SY1069: $i] :
            ( ~ ( is_fun959573582l_bool @ SV246 )
            | ( ( hAPP_b1719629739l_bool @ ( hAPP_f371807573l_bool @ cOMBK_697604314l_bool @ SV246 ) @ SY1069 )
              = SV246 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1144]) ).

thf(1423,plain,
    ! [SV247: $i] :
      ( ( ! [SY1070: $i,SY1071: $i,SY1072: $i] :
            ( ~ ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SY1070 ) @ ( pi_Pro437273841e_indi @ SY1071 @ SY1072 ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV247 ) @ SY1071 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SY1070 @ SV247 ) ) @ ( hAPP_P907763049i_bool @ SY1072 @ SV247 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1145]) ).

thf(1424,plain,
    ! [SV248: $i] :
      ( ( ! [SY1073: $i,SY1074: $i,SY1075: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SY1073 ) @ ( pi_Arr372473371t_bool @ SY1074 @ SY1075 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV248 ) @ SY1074 ) )
            | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SY1073 @ SV248 ) ) @ ( hAPP_A1964572607l_bool @ SY1075 @ SV248 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1146]) ).

thf(1425,plain,
    ! [SV249: $i] :
      ( ( ! [SY1076: $i,SY1077: $i,SY1078: $i] :
            ( ~ ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SY1076 ) @ ( pi_fun1727820731l_bool @ SY1077 @ SY1078 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SY1076 @ SV249 ) ) @ ( hAPP_f417299659l_bool @ SY1078 @ SV249 ) ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV249 ) @ SY1077 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1147]) ).

thf(1426,plain,
    ! [SV250: $i] :
      ( ( ! [SY1079: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV250 ) @ SY1079 ) )
            | ( SV250 != SY1079 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1148]) ).

thf(1427,plain,
    ! [SV251: $i] :
      ( ( ! [SY1080: $i] :
            ( ~ ( is_bool @ SY1080 )
            | ( is_fun282293932t_bool @ ( hAPP_b1024867081t_bool @ SV251 @ SY1080 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1149]) ).

thf(1428,plain,
    ! [SV252: $i] :
      ( ( ! [SY1081: $i] :
            ( ~ ~ ( ~ ( is_fun282293932t_bool @ SV252 )
                  | ~ ( is_fun282293932t_bool @ SY1081 ) )
            | ~ ( ~ ( ~ ! [SY1082: $i,SY1083: $i] :
                          ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1082 )
                                | ~ ( is_Arr553848933le_alt @ SY1083 ) )
                          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1082 @ SY1083 ) ) @ SY1081 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1082 @ SY1083 ) ) @ SV252 ) ) )
                              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1082 @ SY1083 ) ) @ SV252 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1082 @ SY1083 ) ) @ SY1081 ) ) ) ) )
                    | ( SY1081 = SV252 ) )
                | ~ ( ( SY1081 != SV252 )
                    | ! [SY1084: $i,SY1085: $i] :
                        ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1084 )
                              | ~ ( is_Arr553848933le_alt @ SY1085 ) )
                        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1084 @ SY1085 ) ) @ SY1081 ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1084 @ SY1085 ) ) @ SV252 ) ) )
                            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1084 @ SY1085 ) ) @ SV252 ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1084 @ SY1085 ) ) @ SY1081 ) ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1150]) ).

thf(1429,plain,
    ! [SV253: $i] :
      ( ( ! [SY1086: $i] :
            ( ~ ( is_fun432044380l_bool @ SV253 )
            | ( ( hAPP_A1944296755l_bool @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ SV253 ) @ SY1086 )
              = SV253 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1151]) ).

thf(1430,plain,
    ! [SV254: $i] :
      ( ( ~ ( is_fun917378774i_bool @ SV254 )
        | ( is_fun917378774i_bool @ ( collec45183100e_indi @ SV254 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1152]) ).

thf(1431,plain,
    ! [SV255: $i] :
      ( ( ! [SY1087: $i] :
            ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV255 ) @ SY1087 ) )
            | ( SY1087 != SV255 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1153]) ).

thf(1432,plain,
    ! [SV256: $i] :
      ( ( ! [SY1088: $i,SY1089: $i,SY1090: $i] :
            ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1088 ) @ ( pi_Arr688267935t_bool @ SY1089 @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ SY1090 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV256 ) @ SY1089 ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SY1088 @ SV256 ) ) @ SY1090 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1154]) ).

thf(1433,plain,
    ! [SV257: $i] :
      ( ( ! [SY1091: $i,SY1092: $i] :
            ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SY1091 ) @ SY1092 ) )
            | ( SY1091 != SV257 )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV257 ) @ SY1092 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1155]) ).

thf(1434,plain,
    ! [SV258: $i] :
      ( ( ~ ( is_fun631676118l_bool @ SV258 )
        | ( is_fun631676118l_bool @ ( collec1520786044t_bool @ SV258 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1156]) ).

thf(1435,plain,
    ! [SV259: $i] :
      ( ( ! [SY1093: $i] :
            ( ~ ( is_fun432044380l_bool @ SV259 )
            | ( ( hAPP_b1965422783l_bool @ ( hAPP_f2135750719l_bool @ cOMBK_971068024l_bool @ SV259 ) @ SY1093 )
              = SV259 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1157]) ).

thf(1436,plain,
    ! [SV260: $i] :
      ( ( ! [SY1094: $i,SY1095: $i,SY1096: $i] :
            ( ~ ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SY1094 ) @ ( pi_Arr1511953043t_bool @ SY1095 @ SY1096 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV260 ) @ SY1095 ) )
            | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SY1094 @ SV260 ) ) @ ( hAPP_A1912483895l_bool @ SY1096 @ SV260 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1158]) ).

thf(1437,plain,
    ! [SV261: $i] :
      ( ( ~ ( is_fun631676118l_bool @ SV261 )
        | ~ ( ~ ( ~ ( ( SV261 != top_to40512653l_bool ) )
                | ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ SV261 ) @ top_to40512653l_bool ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ SV261 ) @ top_to40512653l_bool ) )
                | ( SV261 != top_to40512653l_bool ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1159]) ).

thf(1438,plain,
    ! [SV262: $i] :
      ( ( ! [SY1097: $i] :
            ( ~ ( is_bool @ SV262 )
            | ( ( hAPP_f1636546729l_bool @ ( hAPP_b1719629739l_bool @ cOMBK_789167586t_bool @ SV262 ) @ SY1097 )
              = SV262 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1160]) ).

thf(1439,plain,
    ! [SV263: $i] :
      ( ( ! [SY1098: $i,SY1099: $i,SY1100: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SY1098 ) @ ( pi_boo691944735t_bool @ SY1099 @ ( hAPP_f371807573l_bool @ cOMBK_697604314l_bool @ SY1100 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV263 ) @ SY1099 ) )
            | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SY1098 @ SV263 ) ) @ SY1100 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1161]) ).

thf(1440,plain,
    ! [SV264: $i] :
      ( ( ! [SY1101: $i,SY1102: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY1101 ) @ SY1102 ) )
            | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV264 ) @ SY1101 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV264 ) @ SY1102 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1162]) ).

thf(1441,plain,
    ! [SV265: $i] :
      ( ( ! [SY1103: $i,SY1104: $i,SY1105: $i] :
            ( ~ ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SY1103 ) @ ( pi_fun1727820731l_bool @ SY1104 @ SY1105 ) ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV265 ) @ SY1104 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SY1103 @ SV265 ) ) @ ( hAPP_f417299659l_bool @ SY1105 @ SV265 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1163]) ).

thf(1442,plain,
    ! [SV266: $i] :
      ( ( ! [SY1106: $i] :
            ( ~ ( is_bool @ SY1106 )
            | ( is_fun959573582l_bool @ ( hAPP_b1719629739l_bool @ SV266 @ SY1106 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1164]) ).

thf(1443,plain,
    ! [SV267: $i] :
      ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_A1466488369i_bool @ top_to1256827021i_bool @ SV267 ) )
                | ( hBOOL @ top_top_bool ) )
            | ~ ( ~ ( hBOOL @ top_top_bool )
                | ( hBOOL @ ( hAPP_A1466488369i_bool @ top_to1256827021i_bool @ SV267 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1165]) ).

thf(1444,plain,
    ( ( a = b )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1166]) ).

thf(1445,plain,
    ! [SV268: $i] :
      ( ( ! [SY1107: $i,SY1108: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY1107 ) @ SY1108 ) )
            | ( SY1107 != SV268 )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV268 ) @ SY1108 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1167]) ).

thf(1446,plain,
    ! [SV269: $i] :
      ( ( ! [SY1109: $i,SY1110: $i,SY1111: $i] :
            ( ~ ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SY1109 ) @ ( pi_Pro437273841e_indi @ SY1110 @ ( hAPP_f1970593179i_bool @ cOMBK_100791596le_alt @ SY1111 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV269 ) @ SY1110 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SY1109 @ SV269 ) ) @ SY1111 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1168]) ).

thf(1447,plain,
    ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ p ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) ) )
      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ p ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1169]) ).

thf(1448,plain,
    ! [SV270: $i] :
      ( ( ! [SY1112: $i] :
            ( ~ ( is_Arr625519182e_indi @ SV270 )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SY1112 @ top_to1256827021i_bool ) )
            | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ SY1112 ) @ ( hAPP_A588601142di_nat @ SY1112 @ SV270 ) )
              = SV270 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1170]) ).

thf(1449,plain,
    ! [SV271: $i] :
      ( ( ! [SY1113: $i,SY1114: $i,SY1115: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SY1113 ) @ ( pi_boo71521447t_bool @ SY1114 @ ( hAPP_f448497509l_bool @ cOMBK_1268833122l_bool @ SY1115 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV271 ) @ SY1114 ) )
            | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SY1113 @ SV271 ) ) @ SY1115 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1171]) ).

thf(1450,plain,
    ! [SV272: $i,SV1: $i] :
      ( ( is_fun282293932t_bool @ ( hAPP_f695124765t_bool @ SV1 @ SV272 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1172]) ).

thf(1451,plain,
    ! [SV273: $i,SV3: $i] :
      ( ( is_fun917378774i_bool @ ( cOMBC_277798809t_bool @ SV3 @ SV273 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1174]) ).

thf(1452,plain,
    ! [SV274: $i,SV4: $i] :
      ( ( is_bool @ ( hAPP_nat_bool @ SV4 @ SV274 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1175]) ).

thf(1453,plain,
    ! [SV275: $i,SV5: $i] :
      ( ( is_Arr625519182e_indi @ ( hAPP_f1818473245e_indi @ SV5 @ SV275 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1176]) ).

thf(1454,plain,
    ! [SV276: $i,SV6: $i] :
      ( ( is_fun917378774i_bool @ ( hAPP_f749892423i_bool @ SV6 @ SV276 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1177]) ).

thf(1455,plain,
    ! [SV277: $i,SV7: $i] :
      ( ( is_fun432044380l_bool @ ( hAPP_f861484971l_bool @ SV7 @ SV277 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1178]) ).

thf(1456,plain,
    ! [SV278: $i,SV8: $i] :
      ( ( is_bool @ ( hAPP_f387058535l_bool @ SV8 @ SV278 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1179]) ).

thf(1457,plain,
    ! [SV279: $i,SV9: $i] :
      ( ( is_bool @ ( hAPP_f204273237l_bool @ SV9 @ SV279 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1180]) ).

thf(1458,plain,
    ! [SV280: $i,SV10: $i] :
      ( ( is_bool @ ( hAPP_f1012384989l_bool @ SV10 @ SV280 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1181]) ).

thf(1459,plain,
    ! [SV281: $i,SV11: $i] :
      ( ( is_Arr625519182e_indi @ ( hAPP_f618619045e_indi @ SV11 @ SV281 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1182]) ).

thf(1460,plain,
    ! [SV282: $i,SV12: $i] :
      ( ( is_fun917378774i_bool @ ( hAPP_f355113919i_bool @ SV12 @ SV282 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1183]) ).

thf(1461,plain,
    ! [SV283: $i,SV13: $i] :
      ( ( is_bool @ ( hAPP_f483434675l_bool @ SV13 @ SV283 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1184]) ).

thf(1462,plain,
    ! [SV284: $i,SV14: $i] :
      ( ( is_bool @ ( hAPP_f1018082273l_bool @ SV14 @ SV284 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1185]) ).

thf(1463,plain,
    ! [SV285: $i,SV15: $i] :
      ( ( is_bool @ ( hAPP_f1271180905l_bool @ SV15 @ SV285 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1186]) ).

thf(1464,plain,
    ! [SV286: $i,SV16: $i] :
      ( ( is_bool @ ( hAPP_f1550037191l_bool @ SV16 @ SV286 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1187]) ).

thf(1465,plain,
    ! [SV287: $i,SV17: $i] :
      ( ( is_bool @ ( hAPP_f1895985727l_bool @ SV17 @ SV287 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1188]) ).

thf(1466,plain,
    ! [SV288: $i,SV18: $i] :
      ( ( is_bool @ ( hAPP_f234874197l_bool @ SV18 @ SV288 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1189]) ).

thf(1467,plain,
    ! [SV289: $i,SV19: $i] :
      ( ( is_bool @ ( hAPP_f500145249l_bool @ SV19 @ SV289 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1190]) ).

thf(1468,plain,
    ! [SV290: $i,SV20: $i] :
      ( ( is_bool @ ( hAPP_f1766869725l_bool @ SV20 @ SV290 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1191]) ).

thf(1469,plain,
    ! [SV291: $i,SV21: $i] :
      ( ( is_bool @ ( hAPP_f1279200745l_bool @ SV21 @ SV291 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1192]) ).

thf(1470,plain,
    ! [SV292: $i,SV22: $i] :
      ( ( is_bool @ ( hAPP_f592909149l_bool @ SV22 @ SV292 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1193]) ).

thf(1471,plain,
    ! [SV293: $i,SV23: $i] :
      ( ( is_bool @ ( hAPP_f526292585l_bool @ SV23 @ SV293 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1194]) ).

thf(1472,plain,
    ! [SV294: $i,SV24: $i] :
      ( ( is_bool @ ( hAPP_f460310451l_bool @ SV24 @ SV294 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1195]) ).

thf(1473,plain,
    ! [SV295: $i,SV25: $i] :
      ( ( is_Arr625519182e_indi @ ( hAPP_P2024088443e_indi @ SV25 @ SV295 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1196]) ).

thf(1474,plain,
    ! [SV296: $i,SV26: $i] :
      ( ( is_fun917378774i_bool @ ( hAPP_P907763049i_bool @ SV26 @ SV296 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1197]) ).

thf(1475,plain,
    ! [SV44: $i] :
      ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ top_to2005687013l_bool ) @ SV44 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1215]) ).

thf(1476,plain,
    ! [SV45: $i] :
      ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ top_to1194196741l_bool ) @ SV45 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1216]) ).

thf(1477,plain,
    ! [SV46: $i] :
      ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ top_to40512653l_bool ) @ SV46 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1217]) ).

thf(1478,plain,
    ! [SV47: $i] :
      ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ top_top_bool ) @ SV47 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1218]) ).

thf(1479,plain,
    ! [SV48: $i] :
      ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ top_to2034604131t_bool ) @ SV48 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1219]) ).

thf(1480,plain,
    ! [SV49: $i] :
      ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ top_to1256827021i_bool ) @ SV49 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1220]) ).

thf(1481,plain,
    ! [SV297: $i,SV50: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV50 ) @ SV297 ) )
        | ( SV50 = SV297 )
        | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV297 ) @ SV50 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1221]) ).

thf(1482,plain,
    ! [SV51: $i] :
      ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV51 ) @ SV51 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1222]) ).

thf(1483,plain,
    ! [SV52: $i] :
      ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV52 ) @ SV52 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1223]) ).

thf(1484,plain,
    ! [SV298: $i,SV57: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ fequal_nat @ SV57 ) @ SV298 ) )
        | ( SV57 = SV298 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1230]) ).

thf(1485,plain,
    ! [SV299: $i,SV58: $i] :
      ( ( ! [SY1116: $i] :
            ( ( hAPP_A1466488369i_bool @ ( cOMBC_277798809t_bool @ SV58 @ SV299 ) @ SY1116 )
            = ( hAPP_nat_bool @ ( hAPP_A1922697556t_bool @ SV58 @ SY1116 ) @ SV299 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1231]) ).

thf(1486,plain,
    ! [SV300: $i,SV59: $i] :
      ( ( ! [SY1117: $i] :
            ( ( hAPP_A1922697556t_bool @ ( cOMBB_317992461e_indi @ SV59 @ SV300 ) @ SY1117 )
            = ( hAPP_n1699378549t_bool @ SV59 @ ( hAPP_A588601142di_nat @ SV300 @ SY1117 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1232]) ).

thf(1487,plain,
    ! [SV301: $i,SV60: $i] :
      ( ( ( hAPP_P2127852789l_bool @ ( hAPP_f1724001331l_bool @ cOMBK_2008994872le_alt @ SV60 ) @ SV301 )
        = SV60 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1233]) ).

thf(1488,plain,
    ! [SV302: $i,SV61: $i] :
      ( ( ( hAPP_f417299659l_bool @ ( hAPP_f1667233577l_bool @ cOMBK_1015076504t_bool @ SV61 ) @ SV302 )
        = SV61 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1234]) ).

thf(1489,plain,
    ! [SV303: $i,SV62: $i] :
      ( ( ( hAPP_f313042899l_bool @ ( hAPP_f219827985l_bool @ cOMBK_886533338t_bool @ SV62 ) @ SV303 )
        = SV62 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1235]) ).

thf(1490,plain,
    ! [SV304: $i,SV63: $i] :
      ( ( ! [SY1118: $i] :
            ( ( hAPP_A1374816149t_bool @ ( cOMBC_1778077589t_bool @ SV63 @ SV304 ) @ SY1118 )
            = ( hAPP_A619995676t_bool @ ( hAPP_A702630576t_bool @ SV63 @ SY1118 ) @ SV304 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1236]) ).

thf(1491,plain,
    ! [SV305: $i,SV64: $i] :
      ( ( ! [SY1119: $i] :
            ( ( hAPP_A702630576t_bool @ ( cOMBC_493523632t_bool @ SV64 @ SV305 ) @ SY1119 )
            = ( hAPP_A384644407t_bool @ ( hAPP_A460042315t_bool @ SV64 @ SY1119 ) @ SV305 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1237]) ).

thf(1492,plain,
    ! [SV306: $i,SV65: $i] :
      ( ( ! [SY1120: $i] :
            ( ( hAPP_A1374816149t_bool @ ( cOMBC_437064334t_bool @ SV65 @ SV306 ) @ SY1120 )
            = ( hAPP_f1673487381t_bool @ ( hAPP_A1333445289t_bool @ SV65 @ SY1120 ) @ SV306 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1238]) ).

thf(1493,plain,
    ! [SV307: $i,SV66: $i] :
      ( ( ! [SY1121: $i] :
            ( ( hAPP_A1374816149t_bool @ ( cOMBS_867867294t_bool @ SV66 @ SV307 ) @ SY1121 )
            = ( hAPP_f1673487381t_bool @ ( hAPP_A1333445289t_bool @ SV66 @ SY1121 ) @ ( hAPP_A1374816149t_bool @ SV307 @ SY1121 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1239]) ).

thf(1494,plain,
    ! [SV308: $i,SV67: $i] :
      ( ( ( hAPP_f497468491l_bool @ ( hAPP_f1235573641l_bool @ cOMBK_1072228194t_bool @ SV67 ) @ SV308 )
        = SV67 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1240]) ).

thf(1495,plain,
    ! [SV309: $i,SV68: $i] :
      ( ( ! [SY1122: $i] :
            ( ( hAPP_A702630576t_bool @ ( cOMBB_1292070696e_indi @ SV68 @ SV309 ) @ SY1122 )
            = ( hAPP_f1290184496t_bool @ SV68 @ ( hAPP_A1374816149t_bool @ SV309 @ SY1122 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1241]) ).

thf(1496,plain,
    ! [SV310: $i,SV69: $i] :
      ( ( ! [SY1123: $i] :
            ( ( hAPP_A460042315t_bool @ ( cOMBB_69933763e_indi @ SV69 @ SV310 ) @ SY1123 )
            = ( hAPP_f1336478923t_bool @ SV69 @ ( hAPP_A1374816149t_bool @ SV310 @ SY1123 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1242]) ).

thf(1497,plain,
    ! [SV311: $i,SV70: $i] :
      ( ( ! [SY1124: $i] :
            ( ( hAPP_A1333445289t_bool @ ( cOMBC_481590946t_bool @ SV70 @ SV311 ) @ SY1124 )
            = ( hAPP_f159424297t_bool @ ( hAPP_A869356733t_bool @ SV70 @ SY1124 ) @ SV311 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1243]) ).

thf(1498,plain,
    ! [SV312: $i,SV71: $i] :
      ( ( ! [SY1125: $i] :
            ( ( hAPP_A1333445289t_bool @ ( cOMBS_102864562t_bool @ SV71 @ SV312 ) @ SY1125 )
            = ( hAPP_f159424297t_bool @ ( hAPP_A869356733t_bool @ SV71 @ SY1125 ) @ ( hAPP_A1374816149t_bool @ SV312 @ SY1125 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1244]) ).

thf(1499,plain,
    ! [SV313: $i,SV72: $i] :
      ( ( ! [SY1126: $i] :
            ( ( hAPP_A869356733t_bool @ ( cOMBB_963584201e_indi @ SV72 @ SV313 ) @ SY1126 )
            = ( hAPP_b1915039793t_bool @ SV72 @ ( hAPP_A1466488369i_bool @ SV313 @ SY1126 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1245]) ).

thf(1500,plain,
    ! [SV73: $i,SV314: $i] :
      ( ( ! [SY1127: $i,SY1128: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV314 ) @ ( pi_boo1877522301le_alt @ SY1127 @ SY1128 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV73 ) @ SY1127 ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV314 @ SV73 ) ) @ ( hAPP_b1024867081t_bool @ SY1128 @ SV73 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1247]) ).

thf(1501,plain,
    ! [SV315: $i,SV74: $i] :
      ( ( ~ ( is_fun282293932t_bool @ SV74 )
        | ( ( hAPP_f1673487381t_bool @ ( hAPP_f159424297t_bool @ ( hAPP_b1915039793t_bool @ if_fun1419651289t_bool @ fTrue ) @ SV74 ) @ SV315 )
          = SV74 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1248]) ).

thf(1502,plain,
    ! [SV316: $i,SV75: $i] :
      ( ( ~ ( is_bool @ SV75 )
        | ( ( hAPP_f785543729l_bool @ ( hAPP_b990649139l_bool @ cOMBK_580911210t_bool @ SV75 ) @ SV316 )
          = SV75 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1249]) ).

thf(1503,plain,
    ! [SV76: $i,SV317: $i] :
      ( ( ! [SY1129: $i,SY1130: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV317 ) @ ( pi_boo71521447t_bool @ SY1129 @ SY1130 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV76 ) @ SY1129 ) )
            | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV317 @ SV76 ) ) @ ( hAPP_b990649139l_bool @ SY1130 @ SV76 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1250]) ).

thf(1504,plain,
    ! [SV77: $i,SV318: $i] :
      ( ( ! [SY1131: $i,SY1132: $i] :
            ( ~ ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV318 ) @ ( pi_fun1736243859e_indi @ SY1131 @ SY1132 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV318 @ SV77 ) ) @ ( hAPP_f749892423i_bool @ SY1132 @ SV77 ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV77 ) @ SY1131 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1251]) ).

thf(1505,plain,
    ! [SV78: $i,SV319: $i] :
      ( ( ! [SY1133: $i,SY1134: $i,SY1135: $i,SY1136: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1133 )
                              | ~ ( is_Arr553848933le_alt @ SY1134 ) )
                        | ~ ( is_Arr553848933le_alt @ SY1135 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1136 ) )
            | ~ ( ( SY1135 != SY1136 ) )
            | ~ ( ( SY1133 != SY1134 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY1137: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1137 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1135 @ SY1136 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1137 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1133 @ SY1134 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1137 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1133 @ SY1134 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1137 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1135 @ SY1136 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1137 ) ) ) ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1135 @ SY1136 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1133 @ SY1134 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1133 @ SY1134 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1135 @ SY1136 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1252]) ).

thf(1506,plain,
    ! [SV79: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_P2075002375t_bool @ top_to2034604131t_bool @ SV79 ) )
            | ( hBOOL @ top_top_bool ) )
        | ~ ( ~ ( hBOOL @ top_top_bool )
            | ( hBOOL @ ( hAPP_P2075002375t_bool @ top_to2034604131t_bool @ SV79 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1253]) ).

thf(1507,plain,
    ! [SV320: $i,SV80: $i] :
      ( ( ~ ~ ( ~ ( is_fun917378774i_bool @ SV80 )
              | ~ ( is_Arr625519182e_indi @ SV320 ) )
        | ( is_bool @ ( hAPP_A1466488369i_bool @ SV80 @ SV320 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1254]) ).

thf(1508,plain,
    ! [SV81: $i,SV321: $i] :
      ( ( ! [SY1138: $i,SY1139: $i] :
            ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV321 ) @ ( pi_fun433100839t_bool @ SY1138 @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ SY1139 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV81 ) @ SY1138 ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV321 @ SV81 ) ) @ SY1139 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1255]) ).

thf(1509,plain,
    ! [SV322: $i,SV82: $i] :
      ( ( ~ ( is_fun631676118l_bool @ SV82 )
        | ( ( hAPP_b990649139l_bool @ ( hAPP_f448497509l_bool @ cOMBK_1268833122l_bool @ SV82 ) @ SV322 )
          = SV82 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1256]) ).

thf(1510,plain,
    ! [SV323: $i,SV83: $i] :
      ( ( ~ ( is_fun959573582l_bool @ SV83 )
        | ( is_fun631676118l_bool @ ( pi_fun433100839t_bool @ SV83 @ SV323 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1257]) ).

thf(1511,plain,
    ! [SV324: $i,SV84: $i] :
      ( ( ~ ~ ( ~ ( is_fun432044380l_bool @ SV84 )
              | ~ ( is_fun282293932t_bool @ SV324 ) )
        | ( is_bool @ ( hAPP_f745298353l_bool @ SV84 @ SV324 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1258]) ).

thf(1512,plain,
    ! [SV85: $i,SV325: $i] :
      ( ( ! [SY1140: $i,SY1141: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV325 ) @ ( pi_fun2075749915e_indi @ SY1140 @ ( hAPP_f1677452273i_bool @ cOMBK_1372975190t_bool @ SY1141 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV85 ) @ SY1140 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV325 @ SV85 ) ) @ SY1141 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1259]) ).

thf(1513,plain,
    ! [SV86: $i,SV326: $i] :
      ( ( ! [SY1142: $i,SY1143: $i] :
            ( ~ ( is_Arr625519182e_indi @ SV326 )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SY1142 @ SY1143 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV326 ) @ SY1143 ) )
            | ( ( hAPP_A588601142di_nat @ SY1142 @ SV326 )
             != SV86 )
            | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SY1143 @ SY1142 ) @ SV86 )
              = SV326 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1260]) ).

thf(1514,plain,
    ! [SV327: $i,SV87: $i] :
      ( ( ! [SY1144: $i,SY1145: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV87 )
                        | ~ ( is_Arr553848933le_alt @ SV327 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1145 ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SY1144 ) @ SY1145 ) ) )
                    | ~ ( ~ ~ ( ~ ( ( SV327 != SY1145 ) )
                              | ~ ( ( SV87 != SY1145 )
                                  | ( SV87 != SV327 ) ) )
                        | ~ ( ~ ( ( SV87 != SY1145 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SY1144 ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV327 != SY1145 ) )
                                | ~ ( ( SV87 != SY1145 )
                                    | ( SV87 != SV327 ) ) )
                          | ~ ( ~ ( ( SV87 != SY1145 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SY1144 ) ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SY1144 ) @ SY1145 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1261]) ).

thf(1515,plain,
    ! [SV88: $i,SV328: $i] :
      ( ( ~ ( is_fun631676118l_bool @ SV328 )
        | ( is_bool @ ( hAPP_f213304539l_bool @ SV88 @ SV328 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1262]) ).

thf(1516,plain,
    ! [SV89: $i,SV329: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV329 ) @ arrow_1239002508le_Lin ) )
        | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV329 ) @ SV89 ) ) @ arrow_1239002508le_Lin ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1263]) ).

thf(1517,plain,
    ! [SV330: $i,SV90: $i] :
      ( ( ~ ( is_fun917378774i_bool @ SV90 )
        | ( ( hAPP_f749892423i_bool @ ( hAPP_f681113465i_bool @ cOMBK_454107598t_bool @ SV90 ) @ SV330 )
          = SV90 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1264]) ).

thf(1518,plain,
    ! [SV331: $i,SV91: $i] :
      ( ( ! [SY1146: $i] :
            ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY1146 ) @ arrow_1239002508le_Lin ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV91 @ SV331 ) ) @ SY1146 ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV331 @ SV91 ) ) @ SY1146 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1265]) ).

thf(1519,plain,
    ! [SV92: $i,SV332: $i] :
      ( ( ! [SY1147: $i,SY1148: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV332 ) @ ( pi_boo2007389459t_bool @ SY1147 @ SY1148 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV332 @ SV92 ) ) @ ( hAPP_b1965422783l_bool @ SY1148 @ SV92 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV92 ) @ SY1147 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1266]) ).

thf(1520,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( is_fun432044380l_bool @ SV93 ) )
        = $true )
      | ( ( is_fun432044380l_bool @ ( collec874260222t_bool @ SV93 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1267]) ).

thf(1521,plain,
    ! [SV94: $i,SV333: $i] :
      ( ( ~ ( is_fun282293932t_bool @ SV333 )
        | ( is_Arr625519182e_indi @ ( hAPP_f1659504677e_indi @ SV94 @ SV333 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1268]) ).

thf(1522,plain,
    ! [SV95: $i,SV334: $i] :
      ( ( ! [SY1149: $i] :
            ( ( SV334 != SY1149 )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SY1149 ) @ SV95 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV334 ) @ SV95 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1269]) ).

thf(1523,plain,
    ! [SV96: $i,SV335: $i] :
      ( ( ! [SY1150: $i,SY1151: $i] :
            ( ~ ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV335 ) @ ( pi_Arr149813489le_alt @ SY1150 @ SY1151 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV335 @ SV96 ) ) @ ( hAPP_A1374816149t_bool @ SY1151 @ SV96 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV96 ) @ SY1150 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1270]) ).

thf(1524,plain,
    ! [SV97: $i,SV336: $i] :
      ( ( ! [SY1152: $i,SY1153: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV336 ) @ ( pi_boo71521447t_bool @ SY1152 @ SY1153 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV336 @ SV97 ) ) @ ( hAPP_b990649139l_bool @ SY1153 @ SV97 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV97 ) @ SY1152 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1271]) ).

thf(1525,plain,
    ! [SV98: $i,SV337: $i] :
      ( ( ! [SY1154: $i,SY1155: $i] :
            ( ~ ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV337 ) @ ( pi_Arr1511953043t_bool @ SY1154 @ ( hAPP_f813556705l_bool @ cOMBK_116240846e_indi @ SY1155 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV98 ) @ SY1154 ) )
            | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV337 @ SV98 ) ) @ SY1155 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1272]) ).

thf(1526,plain,
    ! [SV99: $i,SV338: $i] :
      ( ( ~ ( is_fun917378774i_bool @ SV338 )
        | ( is_bool @ ( hAPP_f919661787l_bool @ SV99 @ SV338 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1273]) ).

thf(1527,plain,
    ! [SV100: $i,SV339: $i] :
      ( ( ! [SY1156: $i,SY1157: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV339 ) @ ( pi_fun2075749915e_indi @ SY1156 @ SY1157 ) ) )
            | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV100 ) @ SY1156 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV339 @ SV100 ) ) @ ( hAPP_f355113919i_bool @ SY1157 @ SV100 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1274]) ).

thf(1528,plain,
    ! [SV101: $i,SV340: $i] :
      ( ( ! [SY1158: $i,SY1159: $i] :
            ( ~ ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV340 ) @ ( pi_fun1736243859e_indi @ SY1158 @ SY1159 ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV101 ) @ SY1158 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV340 @ SV101 ) ) @ ( hAPP_f749892423i_bool @ SY1159 @ SV101 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1275]) ).

thf(1529,plain,
    ! [SV102: $i,SV341: $i] :
      ( ( ! [SY1160: $i,SY1161: $i] :
            ( ~ ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV341 ) @ ( pi_Arr149813489le_alt @ SY1160 @ SY1161 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV102 ) @ SY1160 ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV341 @ SV102 ) ) @ ( hAPP_A1374816149t_bool @ SY1161 @ SV102 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1276]) ).

thf(1530,plain,
    ! [SV103: $i,SV342: $i] :
      ( ( ~ ( is_fun959573582l_bool @ SV342 )
        | ( is_bool @ ( hAPP_f453661011l_bool @ SV103 @ SV342 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1277]) ).

thf(1531,plain,
    ! [SV104: $i,SV343: $i] :
      ( ( ! [SY1162: $i] :
            ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV343 ) @ SY1162 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SY1162 ) @ SV104 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV343 ) @ SV104 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1278]) ).

thf(1532,plain,
    ! [SV344: $i,SV105: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV105 ) @ SV344 ) )
        | ( SV344 != SV105 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1279]) ).

thf(1533,plain,
    ! [SV345: $i,SV106: $i] :
      ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV106 ) @ SV345 ) )
        | ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV345 ) @ SV106 ) )
                | ( SV345 = SV106 ) )
            | ~ ( ( SV345 != SV106 )
                | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV345 ) @ SV106 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1280]) ).

thf(1534,plain,
    ! [SV346: $i,SV107: $i] :
      ( ( ! [SY1163: $i,SY1164: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV107 )
                              | ~ ( is_Arr553848933le_alt @ SV346 ) )
                        | ~ ( is_Arr553848933le_alt @ SY1163 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1164 ) )
            | ( ( produc171383831le_alt @ SV107 @ SV346 )
             != ( produc171383831le_alt @ SY1163 @ SY1164 ) )
            | ~ ( ( SV107 != SY1163 )
                | ( SV346 != SY1164 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1281]) ).

thf(1535,plain,
    ! [SV108: $i,SV347: $i] :
      ( ( ~ ( is_Arr625519182e_indi @ SV347 )
        | ( is_fun282293932t_bool @ ( hAPP_A1374816149t_bool @ SV108 @ SV347 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1282]) ).

thf(1536,plain,
    ! [SV109: $i,SV348: $i] :
      ( ( ! [SY1165: $i,SY1166: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV348 ) @ ( pi_Arr372473371t_bool @ SY1165 @ ( hAPP_f1697527281l_bool @ cOMBK_1292462166e_indi @ SY1166 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV109 ) @ SY1165 ) )
            | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV348 @ SV109 ) ) @ SY1166 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1283]) ).

thf(1537,plain,
    ! [SV349: $i,SV110: $i] :
      ( ( ~ ( is_bool @ SV110 )
        | ( ( hAPP_P2075002375t_bool @ ( hAPP_b1024867081t_bool @ cOMBK_2069093696le_alt @ SV110 ) @ SV349 )
          = SV110 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1284]) ).

thf(1538,plain,
    ! [SV350: $i,SV111: $i] :
      ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV111 ) @ SV350 ) )
                | ( hBOOL @ ( hAPP_A1466488369i_bool @ SV350 @ SV111 ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_A1466488369i_bool @ SV350 @ SV111 ) )
                | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV111 ) @ SV350 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1285]) ).

thf(1539,plain,
    ! [SV112: $i,SV351: $i] :
      ( ( ! [SY1167: $i,SY1168: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV351 ) @ ( pi_fun525942951l_bool @ SY1167 @ SY1168 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV351 @ SV112 ) ) @ ( hAPP_f497468491l_bool @ SY1168 @ SV112 ) ) )
            | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV112 ) @ SY1167 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1286]) ).

thf(1540,plain,
    ! [SV352: $i,SV113: $i] :
      ( ( ! [SY1169: $i,SY1170: $i,SY1171: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV113 )
                              | ~ ( is_Arr553848933le_alt @ SV352 ) )
                        | ~ ( is_Arr553848933le_alt @ SY1170 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1171 ) )
            | ~ ( ( SY1170 != SY1171 ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY1169 ) @ arrow_1239002508le_Lin ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SY1169 ) @ SY1170 ) @ SY1171 ) ) )
                    | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SY1171 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1170 @ SV352 ) ) @ SY1169 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SY1171 ) )
                            | ~ ( ~ ( ( SV352 != SY1171 )
                                    | ( SV113 = SY1170 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SY1170 ) ) @ SY1169 ) ) )
                                | ~ ( ~ ( ( SV352 != SY1171 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SY1169 ) ) ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                                | ~ ( ( SV113 != SY1171 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1170 @ SV352 ) ) @ SY1169 ) ) ) )
                          | ~ ( ~ ( ( SV113 != SY1171 ) )
                              | ~ ( ~ ( ( SV352 != SY1171 )
                                      | ( SV113 = SY1170 )
                                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SY1170 ) ) @ SY1169 ) ) )
                                  | ~ ( ~ ( ( SV352 != SY1171 ) )
                                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SY1169 ) ) ) ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SY1169 ) @ SY1170 ) @ SY1171 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1287]) ).

thf(1541,plain,
    ! [SV114: $i,SV353: $i] :
      ( ( ! [SY1172: $i,SY1173: $i] :
            ( ~ ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV353 ) @ ( pi_fun972956463e_indi @ SY1172 @ SY1173 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV353 @ SV114 ) ) @ ( hAPP_f352490559i_bool @ SY1173 @ SV114 ) ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV114 ) @ SY1172 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1288]) ).

thf(1542,plain,
    ! [SV115: $i,SV354: $i] :
      ( ( ~ ( is_bool @ SV354 )
        | ( is_bool @ ( hAPP_bool_bool @ SV115 @ SV354 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1289]) ).

thf(1543,plain,
    ! [SV355: $i,SV116: $i] :
      ( ( ~ ( is_fun917378774i_bool @ SV116 )
        | ( ( hAPP_f352490559i_bool @ ( hAPP_f1903519657i_bool @ cOMBK_2076140708t_bool @ SV116 ) @ SV355 )
          = SV116 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1290]) ).

thf(1544,plain,
    ! [SV117: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV117 ) @ arrow_1239002508le_Lin ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ SV117 ) ) @ arrow_413697182e_Prof ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1291]) ).

thf(1545,plain,
    ! [SV118: $i,SV356: $i] :
      ( ( ! [SY1174: $i,SY1175: $i] :
            ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV356 ) @ ( pi_Pro2135156861t_bool @ SY1174 @ SY1175 ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV118 ) @ SY1174 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV356 @ SV118 ) ) @ ( hAPP_P2127852789l_bool @ SY1175 @ SV118 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1292]) ).

thf(1546,plain,
    ! [SV119: $i] :
      ( ( ( ~ ( is_fun282293932t_bool @ SV119 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( ( SV119 != top_to2034604131t_bool ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ SV119 ) @ top_to2034604131t_bool ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ SV119 ) @ top_to2034604131t_bool ) )
                  | ( SV119 != top_to2034604131t_bool ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1293]) ).

thf(1547,plain,
    ! [SV120: $i,SV357: $i] :
      ( ( ~ ( is_Arr625519182e_indi @ SV357 )
        | ( is_fun432044380l_bool @ ( hAPP_A1944296755l_bool @ SV120 @ SV357 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1294]) ).

thf(1548,plain,
    ! [SV358: $i,SV121: $i] :
      ( ( ~ ( ~ ( ~ ( ( SV121 != SV358 ) )
                | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV121 ) @ SV358 ) )
                | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV358 ) @ SV121 ) ) )
            | ~ ( ~ ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV121 ) @ SV358 ) )
                    | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV358 ) @ SV121 ) ) )
                | ( SV121 != SV358 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1295]) ).

thf(1549,plain,
    ! [SV122: $i] :
      ( ( ( ~ ( is_bool @ SV122 ) )
        = $true )
      | ( ( ( SV122 = fTrue )
          | ( SV122 = fFalse ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1296]) ).

thf(1550,plain,
    ! [SV123: $i,SV359: $i] :
      ( ( ! [SY1176: $i,SY1177: $i] :
            ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV359 ) @ ( pi_Arr688267935t_bool @ SY1176 @ SY1177 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV359 @ SV123 ) ) @ ( hAPP_A1944296755l_bool @ SY1177 @ SV123 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV123 ) @ SY1176 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1297]) ).

thf(1551,plain,
    ! [SV360: $i,SV124: $i] :
      ( ( ~ ( is_fun959573582l_bool @ SV124 )
        | ( is_bool @ ( hAPP_f1636546729l_bool @ SV124 @ SV360 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1298]) ).

thf(1552,plain,
    ! [SV125: $i,SV361: $i] :
      ( ( ! [SY1178: $i,SY1179: $i] :
            ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV361 ) @ ( pi_fun433100839t_bool @ SY1178 @ SY1179 ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV125 ) @ SY1178 ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV361 @ SV125 ) ) @ ( hAPP_f861484971l_bool @ SY1179 @ SV125 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1299]) ).

thf(1553,plain,
    ! [SV126: $i,SV362: $i] :
      ( ( ! [SY1180: $i,SY1181: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV362 ) @ ( pi_fun525942951l_bool @ SY1180 @ ( hAPP_f1235573641l_bool @ cOMBK_1072228194t_bool @ SY1181 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV126 ) @ SY1180 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV362 @ SV126 ) ) @ SY1181 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1300]) ).

thf(1554,plain,
    ! [SV127: $i,SV363: $i] :
      ( ( ! [SY1182: $i,SY1183: $i,SY1184: $i,SY1185: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1182 )
                              | ~ ( is_Arr553848933le_alt @ SY1183 ) )
                        | ~ ( is_Arr553848933le_alt @ SY1184 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1185 ) )
            | ~ ( ( SY1184 != SY1185 ) )
            | ~ ( ( SY1182 != SY1183 ) )
            | ~ ( ( SY1184 != SY1183 ) )
            | ~ ( ( SY1185 != SY1182 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY1186: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1186 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1184 @ SY1185 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1186 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1182 @ SY1183 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1186 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1182 @ SY1183 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1186 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1184 @ SY1185 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1186 ) ) ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1184 @ SY1185 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1182 @ SY1183 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1301]) ).

thf(1555,plain,
    ! [SV128: $i,SV364: $i] :
      ( ( ! [SY1187: $i,SY1188: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV364 ) @ ( pi_boo1877522301le_alt @ SY1187 @ SY1188 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV364 @ SV128 ) ) @ ( hAPP_b1024867081t_bool @ SY1188 @ SV128 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV128 ) @ SY1187 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1302]) ).

thf(1556,plain,
    ! [SV129: $i,SV365: $i] :
      ( ( ! [SY1189: $i] :
            ( ( SV365 != SY1189 )
            | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV129 ) @ SY1189 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV129 ) @ SV365 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1303]) ).

thf(1557,plain,
    ! [SV130: $i,SV366: $i] :
      ( ( ~ ( is_Arr553848933le_alt @ SV366 )
        | ( is_fun282293932t_bool @ ( hAPP_A619995676t_bool @ SV130 @ SV366 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1304]) ).

thf(1558,plain,
    ! [SV367: $i,SV131: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV131 ) @ SV367 ) )
        | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV367 ) @ SV131 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1305]) ).

thf(1559,plain,
    ! [SV132: $i] :
      ( ( ~ ( ~ ! [SY855: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY855 ) )
            | ! [SY856: $i,SY857: $i] :
                ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY856 )
                      | ~ ( is_Arr553848933le_alt @ SY857 ) )
                | ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ SY856 @ SY857 ) ) ) ) )
        | ~ ( ~ ! [SY858: $i,SY859: $i] :
                  ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY858 )
                        | ~ ( is_Arr553848933le_alt @ SY859 ) )
                  | ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ SY858 @ SY859 ) ) ) )
            | ! [SY860: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY860 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1306]) ).

thf(1560,plain,
    ! [SV133: $i,SV368: $i] :
      ( ( ! [SY1190: $i,SY1191: $i,SY1192: $i,SY1193: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1190 )
                              | ~ ( is_Arr553848933le_alt @ SY1191 ) )
                        | ~ ( is_Arr553848933le_alt @ SY1192 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1193 ) )
            | ~ ( ( SY1192 != SY1193 ) )
            | ~ ( ( SY1190 != SY1191 ) )
            | ~ ( ( SY1192 != SY1191 ) )
            | ~ ( ( SY1193 != SY1190 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY1194: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1194 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1192 @ SY1193 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1194 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1190 @ SY1191 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1194 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1190 @ SY1191 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1194 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1192 @ SY1193 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1194 ) ) ) ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1192 @ SY1193 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1190 @ SY1191 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1190 @ SY1191 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1192 @ SY1193 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1307]) ).

thf(1561,plain,
    ! [SV369: $i,SV134: $i] :
      ( ( ~ ( is_fun282293932t_bool @ SV134 )
        | ( is_fun432044380l_bool @ ( pi_Pro2135156861t_bool @ SV134 @ SV369 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1308]) ).

thf(1562,plain,
    ! [SV370: $i,SV135: $i] :
      ( ( ~ ( is_fun282293932t_bool @ SV135 )
        | ( is_bool @ ( hAPP_P2075002375t_bool @ SV135 @ SV370 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1309]) ).

thf(1563,plain,
    ! [SV136: $i,SV371: $i] :
      ( ( ! [SY1195: $i] :
            ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV371 ) @ SY1195 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SY1195 ) @ SV371 ) )
            | ( hBOOL @ SV136 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1310]) ).

thf(1564,plain,
    ! [SV372: $i,SV137: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV137 ) @ SV372 ) )
        | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV372 ) @ SV137 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1311]) ).

thf(1565,plain,
    ! [SV138: $i] :
      ( ( ( ~ ( is_fun282293932t_bool @ SV138 ) )
        = $true )
      | ( ( is_fun282293932t_bool @ ( collec1711870802le_alt @ SV138 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1312]) ).

thf(1566,plain,
    ! [SV373: $i,SV139: $i] :
      ( ( ( SV139 != SV373 )
        | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ fequal_nat @ SV139 ) @ SV373 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1313]) ).

thf(1567,plain,
    ! [SV140: $i,SV374: $i] :
      ( ( ! [SY1196: $i,SY1197: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV374 ) @ ( pi_fun525942951l_bool @ SY1196 @ SY1197 ) ) )
            | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV140 ) @ SY1196 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV374 @ SV140 ) ) @ ( hAPP_f497468491l_bool @ SY1197 @ SV140 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1314]) ).

thf(1568,plain,
    ! [SV375: $i,SV141: $i] :
      ( ( ~ ( is_fun282293932t_bool @ SV141 )
        | ( ( hAPP_b1024867081t_bool @ ( hAPP_f1520552209t_bool @ cOMBK_697786936l_bool @ SV141 ) @ SV375 )
          = SV141 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1315]) ).

thf(1569,plain,
    ! [SV376: $i,SV142: $i] :
      ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV142 ) @ SV376 ) )
                | ! [SY1198: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1198 ) @ arrow_413697182e_Prof ) )
                    | ( ( hAPP_f695124765t_bool @ SV142 @ SY1198 )
                      = ( hAPP_A1374816149t_bool @ SY1198 @ SV376 ) ) ) )
            | ~ ( ~ ! [SY1199: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1199 ) @ arrow_413697182e_Prof ) )
                      | ( ( hAPP_f695124765t_bool @ SV142 @ SY1199 )
                        = ( hAPP_A1374816149t_bool @ SY1199 @ SV376 ) ) )
                | ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV142 ) @ SV376 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1316]) ).

thf(1570,plain,
    ! [SV143: $i] :
      ( ( ~ ( ~ ~ ~ ( ~ ( ~ ( hBOOL @ SV143 )
                        | ( hBOOL @ top_top_bool ) )
                    | ~ ( ~ ( hBOOL @ top_top_bool )
                        | ( hBOOL @ SV143 ) ) )
            | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) ) )
        | ~ ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
            | ~ ~ ( ~ ( ~ ( hBOOL @ SV143 )
                      | ( hBOOL @ top_top_bool ) )
                  | ~ ( ~ ( hBOOL @ top_top_bool )
                      | ( hBOOL @ SV143 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1317]) ).

thf(1571,plain,
    ! [SV377: $i,SV144: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV144 ) @ SV377 ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV377 ) @ SV144 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1318]) ).

thf(1572,plain,
    ! [SV145: $i,SV378: $i] :
      ( ( ! [SY1200: $i,SY1201: $i] :
            ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV378 ) @ ( pi_Arr688267935t_bool @ SY1200 @ SY1201 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV145 ) @ SY1200 ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV378 @ SV145 ) ) @ ( hAPP_A1944296755l_bool @ SY1201 @ SV145 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1319]) ).

thf(1573,plain,
    ! [SV146: $i] :
      ( ( ( ~ ( is_fun959573582l_bool @ SV146 ) )
        = $true )
      | ( ( is_fun959573582l_bool @ ( collec1580242420t_bool @ SV146 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1320]) ).

thf(1574,plain,
    ! [SV147: $i,SV379: $i] :
      ( ( ! [SY1202: $i,SY1203: $i] :
            ( ~ ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV379 ) @ ( pi_Arr1511953043t_bool @ SY1202 @ SY1203 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV379 @ SV147 ) ) @ ( hAPP_A1912483895l_bool @ SY1203 @ SV147 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV147 ) @ SY1202 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1321]) ).

thf(1575,plain,
    ! [SV380: $i,SV148: $i] :
      ( ( ! [SY1204: $i] :
            ( ~ ( is_Arr625519182e_indi @ SV148 )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SY1204 @ top_to1256827021i_bool ) )
            | ( ( hAPP_A588601142di_nat @ SY1204 @ SV148 )
             != SV380 )
            | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ SY1204 ) @ SV380 )
              = SV148 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1322]) ).

thf(1576,plain,
    ! [SV149: $i,SV381: $i] :
      ( ( ~ ( is_fun282293932t_bool @ SV381 )
        | ( ( hAPP_f1673487381t_bool @ ( hAPP_f159424297t_bool @ ( hAPP_b1915039793t_bool @ if_fun1419651289t_bool @ fFalse ) @ SV149 ) @ SV381 )
          = SV381 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1323]) ).

thf(1577,plain,
    ! [SV382: $i,SV150: $i] :
      ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV150 ) @ SV382 ) )
        | ~ ( ( SV150 != SV382 ) )
        | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV382 ) @ SV150 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1324]) ).

thf(1578,plain,
    ! [SV383: $i,SV151: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV151 ) @ SV383 ) )
        | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV383 ) @ SV151 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1325]) ).

thf(1579,plain,
    ! [SV384: $i,SV152: $i] :
      ( ( ~ ( is_bool @ SV152 )
        | ( ( hAPP_f745298353l_bool @ ( hAPP_b1965422783l_bool @ cOMBK_977355664t_bool @ SV152 ) @ SV384 )
          = SV152 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1326]) ).

thf(1580,plain,
    ! [SV153: $i,SV385: $i] :
      ( ( ! [SY1205: $i,SY1206: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV385 ) @ ( pi_Arr372473371t_bool @ SY1205 @ SY1206 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV385 @ SV153 ) ) @ ( hAPP_A1964572607l_bool @ SY1206 @ SV153 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV153 ) @ SY1205 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1327]) ).

thf(1581,plain,
    ! [SV154: $i,SV386: $i] :
      ( ( ~ ( is_fun282293932t_bool @ SV386 )
        | ( is_fun282293932t_bool @ ( hAPP_f1673487381t_bool @ SV154 @ SV386 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1328]) ).

thf(1582,plain,
    ! [SV155: $i,SV387: $i] :
      ( ( ! [SY1207: $i,SY1208: $i] :
            ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV387 ) @ ( pi_fun433100839t_bool @ SY1207 @ SY1208 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV387 @ SV155 ) ) @ ( hAPP_f861484971l_bool @ SY1208 @ SV155 ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV155 ) @ SY1207 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1329]) ).

thf(1583,plain,
    ! [SV388: $i,SV156: $i] :
      ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV156 ) @ SV388 ) )
                | ( hBOOL @ ( hAPP_f1636546729l_bool @ SV388 @ SV156 ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1636546729l_bool @ SV388 @ SV156 ) )
                | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV156 ) @ SV388 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1330]) ).

thf(1584,plain,
    ! [SV157: $i,SV389: $i] :
      ( ( ! [SY1209: $i,SY1210: $i] :
            ( ~ ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV389 ) @ ( pi_fun1494794527l_bool @ SY1209 @ SY1210 ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV157 ) @ SY1209 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV389 @ SV157 ) ) @ ( hAPP_f313042899l_bool @ SY1210 @ SV157 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1331]) ).

thf(1585,plain,
    ! [SV390: $i,SV158: $i] :
      ( ( ! [SY1211: $i,SY1212: $i] :
            ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV158 )
                  | ~ ( is_Arr625519182e_indi @ SV390 ) )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SY1211 @ SY1212 ) )
            | ( ( hAPP_A588601142di_nat @ SY1211 @ SV158 )
             != ( hAPP_A588601142di_nat @ SY1211 @ SV390 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV158 ) @ SY1212 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV390 ) @ SY1212 ) )
            | ( SV158 = SV390 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1332]) ).

thf(1586,plain,
    ! [SV159: $i,SV391: $i] :
      ( ( ! [SY1213: $i,SY1214: $i] :
            ( ~ ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV391 ) @ ( pi_fun972956463e_indi @ SY1213 @ ( hAPP_f1903519657i_bool @ cOMBK_2076140708t_bool @ SY1214 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV159 ) @ SY1213 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV391 @ SV159 ) ) @ SY1214 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1333]) ).

thf(1587,plain,
    ! [SV392: $i,SV160: $i] :
      ( ( ! [SY1215: $i] :
            ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV160 )
                  | ~ ( is_Arr625519182e_indi @ SV392 ) )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SY1215 @ top_to1256827021i_bool ) )
            | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SY1215 @ SV160 )
                     != ( hAPP_A588601142di_nat @ SY1215 @ SV392 ) )
                    | ( SV160 = SV392 ) )
                | ~ ( ( SV160 != SV392 )
                    | ( ( hAPP_A588601142di_nat @ SY1215 @ SV160 )
                      = ( hAPP_A588601142di_nat @ SY1215 @ SV392 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1334]) ).

thf(1588,plain,
    ! [SV393: $i,SV161: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV161 ) @ SV393 ) )
        | ( SV161 != SV393 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1335]) ).

thf(1589,plain,
    ! [SV162: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
            | ! [SY913: $i] :
                ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY913 ) @ arrow_413697182e_Prof ) )
                | ! [SY914: $i,SY915: $i] :
                    ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY914 )
                          | ~ ( is_Arr553848933le_alt @ SY915 ) )
                    | ~ ! [SX4: $i] :
                          ( ~ ( is_Arr625519182e_indi @ SX4 )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY914 @ SY915 ) ) @ ( hAPP_A1374816149t_bool @ SY913 @ SX4 ) ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY914 @ SY915 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SY913 ) ) ) ) ) )
        | ~ ( ~ ! [SY917: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY917 ) @ arrow_413697182e_Prof ) )
                  | ! [SY918: $i,SY919: $i] :
                      ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY918 )
                            | ~ ( is_Arr553848933le_alt @ SY919 ) )
                      | ~ ! [SX4: $i] :
                            ( ~ ( is_Arr625519182e_indi @ SX4 )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY918 @ SY919 ) ) @ ( hAPP_A1374816149t_bool @ SY917 @ SX4 ) ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY918 @ SY919 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SY917 ) ) ) ) )
            | ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1336]) ).

thf(1590,plain,
    ! [SV163: $i,SV394: $i] :
      ( ( ! [SY1216: $i] :
            ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV394 ) @ SY1216 ) )
            | ( SY1216 != SV163 )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV394 ) @ SV163 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1337]) ).

thf(1591,plain,
    ! [SV395: $i,SV164: $i] :
      ( ( ~ ( is_fun917378774i_bool @ SV164 )
        | ( ( hAPP_f355113919i_bool @ ( hAPP_f1677452273i_bool @ cOMBK_1372975190t_bool @ SV164 ) @ SV395 )
          = SV164 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1338]) ).

thf(1592,plain,
    ! [SV396: $i,SV165: $i] :
      ( ( ~ ( is_fun917378774i_bool @ SV165 )
        | ( ( hAPP_P907763049i_bool @ ( hAPP_f1970593179i_bool @ cOMBK_100791596le_alt @ SV165 ) @ SV396 )
          = SV165 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1339]) ).

thf(1593,plain,
    ! [SV166: $i,SV397: $i] :
      ( ( ! [SY1217: $i] :
            ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV397 ) @ SY1217 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV166 ) @ SV397 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV166 ) @ SY1217 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1340]) ).

thf(1594,plain,
    ! [SV398: $i,SV167: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV167 ) @ SV398 ) )
        | ( SV167 != SV398 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1341]) ).

thf(1595,plain,
    ! [SV399: $i,SV168: $i] :
      ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV168 )
              | ~ ( is_Arr553848933le_alt @ SV399 ) )
        | ~ ( ( SV168 != SV399 ) )
        | ~ ! [SY1218: $i] :
              ~ ~ ( ~ ~ ( ~ ( is_fun282293932t_bool @ SY1218 )
                        | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY1218 ) @ arrow_1239002508le_Lin ) ) )
                  | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV168 @ SV399 ) ) @ SY1218 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1342]) ).

thf(1596,plain,
    ! [SV169: $i,SV400: $i] :
      ( ( ! [SY1219: $i,SY1220: $i] :
            ( ~ ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV400 ) @ ( pi_Pro437273841e_indi @ SY1219 @ SY1220 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV400 @ SV169 ) ) @ ( hAPP_P907763049i_bool @ SY1220 @ SV169 ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV169 ) @ SY1219 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1343]) ).

thf(1597,plain,
    ! [SV401: $i,SV170: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV170 ) @ SV401 ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV401 ) @ SV170 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1344]) ).

thf(1598,plain,
    ! [SV402: $i,SV171: $i] :
      ( ( ~ ( is_fun959573582l_bool @ SV171 )
        | ( ( hAPP_A1912483895l_bool @ ( hAPP_f813556705l_bool @ cOMBK_116240846e_indi @ SV171 ) @ SV402 )
          = SV171 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1345]) ).

thf(1599,plain,
    ! [SV172: $i,SV403: $i] :
      ( ( ~ ( is_fun282293932t_bool @ SV403 )
        | ( is_fun432044380l_bool @ ( hAPP_f2056167603l_bool @ SV172 @ SV403 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1346]) ).

thf(1600,plain,
    ! [SV173: $i,SV404: $i] :
      ( ( ! [SY1221: $i,SY1222: $i] :
            ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1221 )
                  | ~ ( is_Arr553848933le_alt @ SY1222 ) )
            | ~ ( ( SY1221 != SY1222 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY1223: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1223 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1221 @ SY1222 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1223 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1222 @ SY1221 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1223 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1222 @ SY1221 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1223 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1221 @ SY1222 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1223 ) ) ) ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1221 @ SY1222 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1222 @ SY1221 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1222 @ SY1221 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1221 @ SY1222 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1347]) ).

thf(1601,plain,
    ! [SV174: $i,SV405: $i] :
      ( ( ! [SY1224: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV405 ) @ SY1224 ) )
            | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY1224 ) @ SV174 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV405 ) @ SV174 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1348]) ).

thf(1602,plain,
    ! [SV406: $i,SV175: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV175 ) @ SV406 ) )
        | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV406 ) @ SV175 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1349]) ).

thf(1603,plain,
    ! [SV407: $i,SV176: $i] :
      ( ( ~ ( is_fun917378774i_bool @ SV176 )
        | ( is_fun1016509681e_indi @ ( hilber1792103167di_nat @ SV176 @ SV407 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1350]) ).

thf(1604,plain,
    ! [SV177: $i,SV408: $i] :
      ( ( ! [SY1225: $i,SY1226: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV408 ) @ ( pi_boo1877522301le_alt @ SY1225 @ ( hAPP_f1520552209t_bool @ cOMBK_697786936l_bool @ SY1226 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV177 ) @ SY1225 ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV408 @ SV177 ) ) @ SY1226 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1351]) ).

thf(1605,plain,
    ! [SV409: $i,SV178: $i] :
      ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV178 ) @ SV409 ) )
                | ( hBOOL @ ( hAPP_f785543729l_bool @ SV409 @ SV178 ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ SV409 @ SV178 ) )
                | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV178 ) @ SV409 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1352]) ).

thf(1606,plain,
    ! [SV179: $i,SV410: $i] :
      ( ( ~ ( is_bool @ SV410 )
        | ( is_fun631676118l_bool @ ( hAPP_b990649139l_bool @ SV179 @ SV410 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1353]) ).

thf(1607,plain,
    ! [SV180: $i,SV411: $i] :
      ( ( ~ ( is_Arr625519182e_indi @ SV411 )
        | ( is_fun959573582l_bool @ ( hAPP_A1912483895l_bool @ SV180 @ SV411 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1354]) ).

thf(1608,plain,
    ! [SV181: $i,SV412: $i] :
      ( ( ! [SY1227: $i,SY1228: $i] :
            ( ~ ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV412 ) @ ( pi_fun1494794527l_bool @ SY1227 @ SY1228 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV412 @ SV181 ) ) @ ( hAPP_f313042899l_bool @ SY1228 @ SV181 ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV181 ) @ SY1227 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1355]) ).

thf(1609,plain,
    ! [SV413: $i,SV182: $i] :
      ( ( ~ ( is_fun631676118l_bool @ SV182 )
        | ( ( hAPP_A1964572607l_bool @ ( hAPP_f1697527281l_bool @ cOMBK_1292462166e_indi @ SV182 ) @ SV413 )
          = SV182 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1356]) ).

thf(1610,plain,
    ! [SV414: $i,SV183: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV183 ) @ SV414 ) )
        | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV414 ) @ SV183 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1357]) ).

thf(1611,plain,
    ! [SV184: $i,SV415: $i] :
      ( ( ~ ( is_fun917378774i_bool @ SV415 )
        | ( is_bool @ ( inj_on24934938di_nat @ SV184 @ SV415 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1358]) ).

thf(1612,plain,
    ! [SV185: $i] :
      ( ( ( ~ ( is_fun917378774i_bool @ SV185 ) )
        = $true )
      | ( ( ( collec45183100e_indi @ SV185 )
          = SV185 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1359]) ).

thf(1613,plain,
    ! [SV186: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1636546729l_bool @ top_to1194196741l_bool @ SV186 ) )
            | ( hBOOL @ top_top_bool ) )
        | ~ ( ~ ( hBOOL @ top_top_bool )
            | ( hBOOL @ ( hAPP_f1636546729l_bool @ top_to1194196741l_bool @ SV186 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1360]) ).

thf(1614,plain,
    ! [SV187: $i] :
      ( ( ( ~ ( is_bool @ SV187 ) )
        = $true )
      | ( ( ( SV187 = fTrue )
          | ( SV187 = fFalse ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1361]) ).

thf(1615,plain,
    ! [SV416: $i,SV188: $i] :
      ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV188 ) @ SV416 ) )
                | ( hBOOL @ ( hAPP_P2075002375t_bool @ SV416 @ SV188 ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_P2075002375t_bool @ SV416 @ SV188 ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV188 ) @ SV416 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1362]) ).

thf(1616,plain,
    ! [SV417: $i,SV189: $i] :
      ( ( ! [SY1229: $i,SY1230: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV189 )
                        | ~ ( is_Arr553848933le_alt @ SV417 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1230 ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SY1229 ) @ SY1230 ) ) )
                    | ~ ( ~ ~ ( ~ ( ( SV189 != SY1230 ) )
                              | ~ ( ( SV417 != SY1230 )
                                  | ( SV189 != SV417 ) ) )
                        | ~ ( ~ ( ( SV417 != SY1230 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SY1229 ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV189 != SY1230 ) )
                                | ~ ( ( SV417 != SY1230 )
                                    | ( SV189 != SV417 ) ) )
                          | ~ ( ~ ( ( SV417 != SY1230 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SY1229 ) ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SY1229 ) @ SY1230 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1363]) ).

thf(1617,plain,
    ! [SV190: $i,SV418: $i] :
      ( ( ! [SY1231: $i,SY1232: $i] :
            ( ~ ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV418 ) @ ( pi_fun972956463e_indi @ SY1231 @ SY1232 ) ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV190 ) @ SY1231 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV418 @ SV190 ) ) @ ( hAPP_f352490559i_bool @ SY1232 @ SV190 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1364]) ).

thf(1618,plain,
    ! [SV191: $i,SV419: $i] :
      ( ( ~ ( is_fun282293932t_bool @ SV419 )
        | ( is_fun917378774i_bool @ ( hAPP_f352490559i_bool @ SV191 @ SV419 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1365]) ).

thf(1619,plain,
    ! [SV192: $i,SV420: $i] :
      ( ( ! [SY1233: $i] :
            ( ( SV420 != SY1233 )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV192 ) @ SY1233 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV192 ) @ SV420 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1366]) ).

thf(1620,plain,
    ! [SV421: $i,SV193: $i] :
      ( ( ! [SY1234: $i,SY1235: $i] :
            ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV193 )
                  | ~ ( is_Arr625519182e_indi @ SV421 ) )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SY1234 @ SY1235 ) )
            | ~ ( ( SV193 != SV421 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV193 ) @ SY1235 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV421 ) @ SY1235 ) )
            | ( ( hAPP_A588601142di_nat @ SY1234 @ SV193 )
             != ( hAPP_A588601142di_nat @ SY1234 @ SV421 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1367]) ).

thf(1621,plain,
    ! [SV194: $i] :
      ( ( ( ~ ! [SY969: $i,SY970: $i] :
                ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SY969 )
                      | ~ ( is_Arr625519182e_indi @ SY970 ) )
                | ( ( hAPP_A588601142di_nat @ SV194 @ SY969 )
                 != ( hAPP_A588601142di_nat @ SV194 @ SY970 ) )
                | ( SY969 = SY970 ) ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV194 @ top_to1256827021i_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1368]) ).

thf(1622,plain,
    ! [SV195: $i] :
      ( ( ( ~ ( is_fun959573582l_bool @ SV195 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( ( SV195 != top_to1194196741l_bool ) )
                  | ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ SV195 ) @ top_to1194196741l_bool ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ SV195 ) @ top_to1194196741l_bool ) )
                  | ( SV195 != top_to1194196741l_bool ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1369]) ).

thf(1623,plain,
    ! [SV422: $i,SV196: $i] :
      ( ( ! [SY1236: $i] :
            ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV196 )
                  | ~ ( is_Arr553848933le_alt @ SV422 ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY1236 ) @ arrow_1239002508le_Lin ) )
            | ~ ( ( SV196 != SV422 ) )
            | ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SY1236 ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SY1236 ) ) )
                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SY1236 ) )
                    | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SY1236 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1370]) ).

thf(1624,plain,
    ! [SV423: $i,SV197: $i] :
      ( ( ! [SY1237: $i,SY1238: $i] :
            ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV197 )
                  | ~ ( is_Arr625519182e_indi @ SV423 ) )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SY1237 @ SY1238 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SY1238 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SY1238 ) )
            | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SY1237 @ SV423 )
                     != ( hAPP_A588601142di_nat @ SY1237 @ SV197 ) )
                    | ( SV423 = SV197 ) )
                | ~ ( ( SV423 != SV197 )
                    | ( ( hAPP_A588601142di_nat @ SY1237 @ SV423 )
                      = ( hAPP_A588601142di_nat @ SY1237 @ SV197 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1371]) ).

thf(1625,plain,
    ! [SV198: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ top_to2005687013l_bool @ SV198 ) )
            | ( hBOOL @ top_top_bool ) )
        | ~ ( ~ ( hBOOL @ top_top_bool )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ top_to2005687013l_bool @ SV198 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1372]) ).

thf(1626,plain,
    ! [SV199: $i,SV424: $i] :
      ( ( ! [SY1239: $i,SY1240: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV424 ) @ ( pi_boo2007389459t_bool @ SY1239 @ ( hAPP_f2135750719l_bool @ cOMBK_971068024l_bool @ SY1240 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV199 ) @ SY1239 ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV424 @ SV199 ) ) @ SY1240 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1374]) ).

thf(1627,plain,
    ! [SV200: $i,SV425: $i] :
      ( ( ~ ( is_bool @ SV425 )
        | ( is_fun432044380l_bool @ ( hAPP_b1965422783l_bool @ SV200 @ SV425 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1375]) ).

thf(1628,plain,
    ! [SV201: $i,SV426: $i] :
      ( ( ! [SY1241: $i,SY1242: $i] :
            ( ~ ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV426 ) @ ( pi_Arr149813489le_alt @ SY1241 @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ SY1242 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV201 ) @ SY1241 ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV426 @ SV201 ) ) @ SY1242 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1376]) ).

thf(1629,plain,
    ! [SV427: $i,SV202: $i] :
      ( ( ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV202 ) @ SV427 ) )
                | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV427 ) @ SV202 ) )
                | ( SV202 = SV427 ) )
            | ~ ( ~ ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV427 ) @ SV202 ) )
                    | ( SV202 = SV427 ) )
                | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV202 ) @ SV427 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1377]) ).

thf(1630,plain,
    ! [SV203: $i] :
      ( ( ( ~ ( is_fun917378774i_bool @ SV203 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( ( SV203 != top_to1256827021i_bool ) )
                  | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV203 ) @ top_to1256827021i_bool ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV203 ) @ top_to1256827021i_bool ) )
                  | ( SV203 != top_to1256827021i_bool ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1378]) ).

thf(1631,plain,
    ! [SV204: $i,SV428: $i] :
      ( ( ! [SY1243: $i,SY1244: $i] :
            ( ~ ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV428 ) @ ( pi_fun1494794527l_bool @ SY1243 @ ( hAPP_f219827985l_bool @ cOMBK_886533338t_bool @ SY1244 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV204 ) @ SY1243 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV428 @ SV204 ) ) @ SY1244 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1379]) ).

thf(1632,plain,
    ! [SV429: $i,SV205: $i] :
      ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV205 ) @ SV429 ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ SV429 @ SV205 ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ SV429 @ SV205 ) )
                | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV205 ) @ SV429 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1380]) ).

thf(1633,plain,
    ! [SV206: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) )
                | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                    | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                             != n )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
                        | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                                 != n ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) ) ) )
        | ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) )
                  | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                               != n )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
                          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                                   != n ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1381]) ).

thf(1634,plain,
    ! [SV430: $i,SV207: $i] :
      ( ( ~ ( is_fun631676118l_bool @ SV207 )
        | ( is_bool @ ( hAPP_f785543729l_bool @ SV207 @ SV430 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1382]) ).

thf(1635,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ~ ( ~ ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
                | ! [SY1245: $i] :
                    ( ~ ( is_Arr625519182e_indi @ SY1245 )
                    | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1245 ) @ SV431 ) )
                    | ! [SY1246: $i] :
                        ( ~ ( is_Arr625519182e_indi @ SY1246 )
                        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1246 ) @ SV431 ) )
                        | ( ( hAPP_A588601142di_nat @ SV208 @ SY1245 )
                         != ( hAPP_A588601142di_nat @ SV208 @ SY1246 ) )
                        | ( SY1245 = SY1246 ) ) ) )
            | ~ ( ~ ! [SY1247: $i] :
                      ( ~ ( is_Arr625519182e_indi @ SY1247 )
                      | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1247 ) @ SV431 ) )
                      | ! [SY1248: $i] :
                          ( ~ ( is_Arr625519182e_indi @ SY1248 )
                          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1248 ) @ SV431 ) )
                          | ( ( hAPP_A588601142di_nat @ SV208 @ SY1247 )
                           != ( hAPP_A588601142di_nat @ SV208 @ SY1248 ) )
                          | ( SY1247 = SY1248 ) ) )
                | ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1383]) ).

thf(1636,plain,
    ! [SV209: $i,SV432: $i] :
      ( ( ! [SY1249: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV432 ) @ SY1249 ) )
            | ( SY1249 != SV209 )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV432 ) @ SV209 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1384]) ).

thf(1637,plain,
    ! [SV433: $i,SV210: $i] :
      ( ( ~ ( is_fun917378774i_bool @ SV210 )
        | ( is_fun959573582l_bool @ ( pi_Arr688267935t_bool @ SV210 @ SV433 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1385]) ).

thf(1638,plain,
    ! [SV211: $i,SV434: $i] :
      ( ( ~ ( is_fun432044380l_bool @ SV434 )
        | ( is_bool @ ( hAPP_f503012287l_bool @ SV211 @ SV434 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1386]) ).

thf(1639,plain,
    ! [SV435: $i,SV212: $i] :
      ( ( ~ ( is_fun1016509681e_indi @ SV212 )
        | ~ ( hBOOL @ ( inj_on24934938di_nat @ SV435 @ top_to1256827021i_bool ) )
        | ~ ! [SY1250: $i] :
              ( ( hAPP_A588601142di_nat @ SV435 @ ( hAPP_n385347014e_indi @ SV212 @ SY1250 ) )
              = SY1250 )
        | ( ( hilber1792103167di_nat @ top_to1256827021i_bool @ SV435 )
          = SV212 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1387]) ).

thf(1640,plain,
    ! [SV213: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
            | ! [SY1000: $i] :
                ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1000 ) @ arrow_413697182e_Prof ) )
                | ! [SY1001: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1001 ) @ arrow_413697182e_Prof ) )
                    | ! [SY1002: $i,SY1003: $i] :
                        ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1002 )
                              | ~ ( is_Arr553848933le_alt @ SY1003 ) )
                        | ~ ! [SX5: $i] :
                              ( ~ ( is_Arr625519182e_indi @ SX5 )
                              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1000 @ SX5 ) ) )
                                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1001 @ SX5 ) ) ) )
                                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1001 @ SX5 ) ) )
                                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1000 @ SX5 ) ) ) ) ) )
                        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1000 ) ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1001 ) ) ) )
                            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1001 ) ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1000 ) ) ) ) ) ) ) ) )
        | ~ ( ~ ! [SY1005: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1005 ) @ arrow_413697182e_Prof ) )
                  | ! [SY1006: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1006 ) @ arrow_413697182e_Prof ) )
                      | ! [SY1007: $i,SY1008: $i] :
                          ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1007 )
                                | ~ ( is_Arr553848933le_alt @ SY1008 ) )
                          | ~ ! [SX5: $i] :
                                ( ~ ( is_Arr625519182e_indi @ SX5 )
                                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1005 @ SX5 ) ) )
                                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1006 @ SX5 ) ) ) )
                                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1006 @ SX5 ) ) )
                                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1005 @ SX5 ) ) ) ) ) )
                          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1005 ) ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1006 ) ) ) )
                              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1006 ) ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1005 ) ) ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1388]) ).

thf(1641,plain,
    ! [SV214: $i,SV436: $i] :
      ( ( ! [SY1251: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV436 ) @ SY1251 ) )
            | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY1251 ) @ SV436 ) )
            | ( hBOOL @ SV214 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1389]) ).

thf(1642,plain,
    ! [SV437: $i,SV215: $i] :
      ( ( ~ ( ( SV215 != SV437 ) )
        | ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV215 ) @ SV437 ) )
        | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV437 ) @ SV215 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1390]) ).

thf(1643,plain,
    ! [SV216: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ top_to40512653l_bool @ SV216 ) )
            | ( hBOOL @ top_top_bool ) )
        | ~ ( ~ ( hBOOL @ top_top_bool )
            | ( hBOOL @ ( hAPP_f785543729l_bool @ top_to40512653l_bool @ SV216 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1391]) ).

thf(1644,plain,
    ! [SV438: $i,SV217: $i] :
      ( ( ~ ( is_fun1016509681e_indi @ SV217 )
        | ( is_Arr625519182e_indi @ ( hAPP_n385347014e_indi @ SV217 @ SV438 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1392]) ).

thf(1645,plain,
    ! [SV218: $i,SV439: $i] :
      ( ( ! [SY1252: $i,SY1253: $i] :
            ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV439 ) @ ( pi_Pro2135156861t_bool @ SY1252 @ ( hAPP_f1724001331l_bool @ cOMBK_2008994872le_alt @ SY1253 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV218 ) @ SY1252 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV439 @ SV218 ) ) @ SY1253 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1393]) ).

thf(1646,plain,
    ! [SV219: $i,SV440: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        | ~ ! [SY1254: $i] :
              ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1254 ) @ arrow_413697182e_Prof ) )
              | ! [SY1255: $i,SY1256: $i] :
                  ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1255 )
                        | ~ ( is_Arr553848933le_alt @ SY1256 ) )
                  | ~ ( ( SY1255 != SY1256 ) )
                  | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1255 @ SY1256 ) ) @ ( hAPP_A1374816149t_bool @ SY1254 @ SV219 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1255 @ SY1256 ) ) @ ( hAPP_f695124765t_bool @ SV440 @ SY1254 ) ) ) ) )
        | ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1394]) ).

thf(1647,plain,
    ! [SV220: $i,SV441: $i] :
      ( ( ! [SY1257: $i,SY1258: $i] :
            ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV441 ) @ ( pi_Pro2135156861t_bool @ SY1257 @ SY1258 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV441 @ SV220 ) ) @ ( hAPP_P2127852789l_bool @ SY1258 @ SV220 ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV220 ) @ SY1257 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1395]) ).

thf(1648,plain,
    ! [SV221: $i,SV442: $i] :
      ( ( ! [SY1259: $i] :
            ( ( SV442 != SY1259 )
            | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SY1259 ) @ SV221 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV442 ) @ SV221 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1396]) ).

thf(1649,plain,
    ! [SV443: $i,SV222: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV222 ) @ SV443 ) )
        | ( SV222 != SV443 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1397]) ).

thf(1650,plain,
    ! [SV444: $i,SV223: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV223 ) @ SV444 ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV444 ) @ SV223 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1398]) ).

thf(1651,plain,
    ! [SV224: $i,SV445: $i] :
      ( ( ! [SY1260: $i,SY1261: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV445 ) @ ( pi_fun2075749915e_indi @ SY1260 @ SY1261 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV445 @ SV224 ) ) @ ( hAPP_f355113919i_bool @ SY1261 @ SV224 ) ) )
            | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV224 ) @ SY1260 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1399]) ).

thf(1652,plain,
    ! [SV446: $i,SV225: $i] :
      ( ( ! [SY1262: $i] :
            ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV225 )
                  | ~ ( is_Arr625519182e_indi @ SV446 ) )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SY1262 @ top_to1256827021i_bool ) )
            | ( ( hAPP_A588601142di_nat @ SY1262 @ SV225 )
             != ( hAPP_A588601142di_nat @ SY1262 @ SV446 ) )
            | ( SV225 = SV446 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1400]) ).

thf(1653,plain,
    ! [SV226: $i,SV447: $i] :
      ( ( ! [SY1263: $i,SY1264: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV447 ) @ ( pi_boo2007389459t_bool @ SY1263 @ SY1264 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV226 ) @ SY1263 ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV447 @ SV226 ) ) @ ( hAPP_b1965422783l_bool @ SY1264 @ SV226 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1401]) ).

thf(1654,plain,
    ! [SV448: $i,SV227: $i] :
      ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV227 ) @ SV448 ) )
                | ( hBOOL @ ( hAPP_bool_bool @ SV448 @ SV227 ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_bool_bool @ SV448 @ SV227 ) )
                | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV227 ) @ SV448 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1402]) ).

thf(1655,plain,
    ! [SV449: $i,SV228: $i] :
      ( ( ! [SY1265: $i,SY1266: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV228 )
                              | ~ ( is_Arr553848933le_alt @ SV449 ) )
                        | ~ ( is_Arr553848933le_alt @ SY1265 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1266 ) )
            | ~ ( ~ ( ( ( produc171383831le_alt @ SV228 @ SV449 )
                     != ( produc171383831le_alt @ SY1265 @ SY1266 ) )
                    | ~ ( ( SV228 != SY1265 )
                        | ( SV449 != SY1266 ) ) )
                | ~ ( ~ ~ ( ( SV228 != SY1265 )
                          | ( SV449 != SY1266 ) )
                    | ( ( produc171383831le_alt @ SV228 @ SV449 )
                      = ( produc171383831le_alt @ SY1265 @ SY1266 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1403]) ).

thf(1656,plain,
    ! [SV229: $i,SV450: $i] :
      ( ( ! [SY1267: $i] :
            ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV450 )
                  | ~ ( is_Arr553848933le_alt @ SY1267 ) )
            | ~ ( ( SV450 != SY1267 ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV229 ) @ arrow_1239002508le_Lin ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV229 ) @ SV450 ) @ SY1267 ) ) @ arrow_1239002508le_Lin ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1404]) ).

thf(1657,plain,
    ! [SV230: $i,SV451: $i] :
      ( ( ! [SY1268: $i,SY1269: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV451 ) @ ( pi_boo691944735t_bool @ SY1268 @ SY1269 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV451 @ SV230 ) ) @ ( hAPP_b1719629739l_bool @ SY1269 @ SV230 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV230 ) @ SY1268 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1405]) ).

thf(1658,plain,
    ! [SV452: $i,SV231: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV231 ) @ SV452 ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV452 ) @ SV231 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1406]) ).

thf(1659,plain,
    ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBC_437064334t_bool @ ( cOMBC_481590946t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ lab ) @ lba ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1407]) ).

thf(1660,plain,
    ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBC_437064334t_bool @ ( cOMBC_481590946t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ lab ) @ lba ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1407]) ).

thf(1661,plain,
    ! [SV232: $i,SV453: $i] :
      ( ( ! [SY1270: $i,SY1271: $i] :
            ( ~ ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV453 ) @ ( pi_fun1727820731l_bool @ SY1270 @ ( hAPP_f1667233577l_bool @ cOMBK_1015076504t_bool @ SY1271 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV232 ) @ SY1270 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV453 @ SV232 ) ) @ SY1271 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1408]) ).

thf(1662,plain,
    ! [SV454: $i,SV233: $i] :
      ( ( ~ ( is_fun282293932t_bool @ SV233 )
        | ( ( hAPP_A1374816149t_bool @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ SV233 ) @ SV454 )
          = SV233 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1409]) ).

thf(1663,plain,
    ! [SV234: $i,SV455: $i] :
      ( ( ~ ( is_Arr625519182e_indi @ SV455 )
        | ( is_fun631676118l_bool @ ( hAPP_A1964572607l_bool @ SV234 @ SV455 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1410]) ).

thf(1664,plain,
    ! [SV235: $i] :
      ( ( ( ~ ( is_fun432044380l_bool @ SV235 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( ( SV235 != top_to2005687013l_bool ) )
                  | ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ SV235 ) @ top_to2005687013l_bool ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ SV235 ) @ top_to2005687013l_bool ) )
                  | ( SV235 != top_to2005687013l_bool ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1411]) ).

thf(1665,plain,
    ! [SV236: $i,SV456: $i] :
      ( ( ! [SY1272: $i,SY1273: $i,SY1274: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1272 )
                        | ~ ( is_Arr553848933le_alt @ SY1273 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1274 ) )
            | ~ ( ( SY1273 != SY1274 ) )
            | ~ ( ( SY1274 != SY1272 ) )
            | ~ ( ( SY1273 != SY1272 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY1275: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1275 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1273 @ SY1274 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1275 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1274 @ SY1272 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1275 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1274 @ SY1272 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1275 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1273 @ SY1274 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1275 ) ) ) ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1273 @ SY1274 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1274 @ SY1272 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1274 @ SY1272 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1273 @ SY1274 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1412]) ).

thf(1666,plain,
    ! [SV237: $i,SV457: $i] :
      ( ( ~ ( is_bool @ SV457 )
        | ( is_fun917378774i_bool @ ( hAPP_b1018211123i_bool @ SV237 @ SV457 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1413]) ).

thf(1667,plain,
    ! [SV458: $i,SV238: $i] :
      ( ( ~ ( is_bool @ SV238 )
        | ( ( hAPP_A1466488369i_bool @ ( hAPP_b1018211123i_bool @ cOMBK_1157044842e_indi @ SV238 ) @ SV458 )
          = SV238 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1414]) ).

thf(1668,plain,
    ! [SV239: $i,SV459: $i] :
      ( ( ! [SY1276: $i,SY1277: $i] :
            ( ~ ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV459 ) @ ( pi_fun1736243859e_indi @ SY1276 @ ( hAPP_f681113465i_bool @ cOMBK_454107598t_bool @ SY1277 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV239 ) @ SY1276 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV459 @ SV239 ) ) @ SY1277 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1415]) ).

thf(1669,plain,
    ! [SV240: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
                  | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                                   != n ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
                | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        | ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
                  | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
                | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                    | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                             != n )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                        | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                                 != n ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1416]) ).

thf(1670,plain,
    ! [SV460: $i,SV241: $i] :
      ( ( ~ ( is_fun432044380l_bool @ SV241 )
        | ( ( hAPP_f861484971l_bool @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ SV241 ) @ SV460 )
          = SV241 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1417]) ).

thf(1671,plain,
    ! [SV461: $i,SV242: $i] :
      ( ( ! [SY1278: $i] :
            ( ~ ( is_Arr625519182e_indi @ SV242 )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SV461 @ SY1278 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV242 ) @ SY1278 ) )
            | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SY1278 @ SV461 ) @ ( hAPP_A588601142di_nat @ SV461 @ SV242 ) )
              = SV242 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1418]) ).

thf(1672,plain,
    ! [SV243: $i,SV462: $i] :
      ( ( ! [SY1279: $i,SY1280: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV462 ) @ ( pi_boo691944735t_bool @ SY1279 @ SY1280 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV243 ) @ SY1279 ) )
            | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV462 @ SV243 ) ) @ ( hAPP_b1719629739l_bool @ SY1280 @ SV243 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1419]) ).

thf(1673,plain,
    ! [SV463: $i,SV244: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV244 ) @ SV463 ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV463 ) @ SV244 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1420]) ).

thf(1674,plain,
    ! [SV245: $i,SV464: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV464 ) @ arrow_1239002508le_Lin ) )
        | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV464 ) @ SV245 ) ) @ arrow_1239002508le_Lin ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1421]) ).

thf(1675,plain,
    ! [SV465: $i,SV246: $i] :
      ( ( ~ ( is_fun959573582l_bool @ SV246 )
        | ( ( hAPP_b1719629739l_bool @ ( hAPP_f371807573l_bool @ cOMBK_697604314l_bool @ SV246 ) @ SV465 )
          = SV246 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1422]) ).

thf(1676,plain,
    ! [SV247: $i,SV466: $i] :
      ( ( ! [SY1281: $i,SY1282: $i] :
            ( ~ ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV466 ) @ ( pi_Pro437273841e_indi @ SY1281 @ SY1282 ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV247 ) @ SY1281 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV466 @ SV247 ) ) @ ( hAPP_P907763049i_bool @ SY1282 @ SV247 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1423]) ).

thf(1677,plain,
    ! [SV248: $i,SV467: $i] :
      ( ( ! [SY1283: $i,SY1284: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV467 ) @ ( pi_Arr372473371t_bool @ SY1283 @ SY1284 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV248 ) @ SY1283 ) )
            | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV467 @ SV248 ) ) @ ( hAPP_A1964572607l_bool @ SY1284 @ SV248 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1424]) ).

thf(1678,plain,
    ! [SV249: $i,SV468: $i] :
      ( ( ! [SY1285: $i,SY1286: $i] :
            ( ~ ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV468 ) @ ( pi_fun1727820731l_bool @ SY1285 @ SY1286 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV468 @ SV249 ) ) @ ( hAPP_f417299659l_bool @ SY1286 @ SV249 ) ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV249 ) @ SY1285 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1425]) ).

thf(1679,plain,
    ! [SV469: $i,SV250: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV250 ) @ SV469 ) )
        | ( SV250 != SV469 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1426]) ).

thf(1680,plain,
    ! [SV251: $i,SV470: $i] :
      ( ( ~ ( is_bool @ SV470 )
        | ( is_fun282293932t_bool @ ( hAPP_b1024867081t_bool @ SV251 @ SV470 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1427]) ).

thf(1681,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ~ ~ ( ~ ( is_fun282293932t_bool @ SV252 )
              | ~ ( is_fun282293932t_bool @ SV471 ) )
        | ~ ( ~ ( ~ ! [SY1287: $i,SY1288: $i] :
                      ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1287 )
                            | ~ ( is_Arr553848933le_alt @ SY1288 ) )
                      | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) ) )
                          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) ) ) ) )
                | ( SV471 = SV252 ) )
            | ~ ( ( SV471 != SV252 )
                | ! [SY1289: $i,SY1290: $i] :
                    ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1289 )
                          | ~ ( is_Arr553848933le_alt @ SY1290 ) )
                    | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) ) )
                        | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1428]) ).

thf(1682,plain,
    ! [SV472: $i,SV253: $i] :
      ( ( ~ ( is_fun432044380l_bool @ SV253 )
        | ( ( hAPP_A1944296755l_bool @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ SV253 ) @ SV472 )
          = SV253 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1429]) ).

thf(1683,plain,
    ! [SV254: $i] :
      ( ( ( ~ ( is_fun917378774i_bool @ SV254 ) )
        = $true )
      | ( ( is_fun917378774i_bool @ ( collec45183100e_indi @ SV254 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1430]) ).

thf(1684,plain,
    ! [SV473: $i,SV255: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV255 ) @ SV473 ) )
        | ( SV473 != SV255 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1431]) ).

thf(1685,plain,
    ! [SV256: $i,SV474: $i] :
      ( ( ! [SY1291: $i,SY1292: $i] :
            ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV474 ) @ ( pi_Arr688267935t_bool @ SY1291 @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ SY1292 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV256 ) @ SY1291 ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV474 @ SV256 ) ) @ SY1292 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1432]) ).

thf(1686,plain,
    ! [SV257: $i,SV475: $i] :
      ( ( ! [SY1293: $i] :
            ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV475 ) @ SY1293 ) )
            | ( SV475 != SV257 )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV257 ) @ SY1293 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1433]) ).

thf(1687,plain,
    ! [SV258: $i] :
      ( ( ( ~ ( is_fun631676118l_bool @ SV258 ) )
        = $true )
      | ( ( is_fun631676118l_bool @ ( collec1520786044t_bool @ SV258 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1434]) ).

thf(1688,plain,
    ! [SV476: $i,SV259: $i] :
      ( ( ~ ( is_fun432044380l_bool @ SV259 )
        | ( ( hAPP_b1965422783l_bool @ ( hAPP_f2135750719l_bool @ cOMBK_971068024l_bool @ SV259 ) @ SV476 )
          = SV259 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1435]) ).

thf(1689,plain,
    ! [SV260: $i,SV477: $i] :
      ( ( ! [SY1294: $i,SY1295: $i] :
            ( ~ ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV477 ) @ ( pi_Arr1511953043t_bool @ SY1294 @ SY1295 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV260 ) @ SY1294 ) )
            | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV477 @ SV260 ) ) @ ( hAPP_A1912483895l_bool @ SY1295 @ SV260 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1436]) ).

thf(1690,plain,
    ! [SV261: $i] :
      ( ( ( ~ ( is_fun631676118l_bool @ SV261 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( ( SV261 != top_to40512653l_bool ) )
                  | ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ SV261 ) @ top_to40512653l_bool ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ SV261 ) @ top_to40512653l_bool ) )
                  | ( SV261 != top_to40512653l_bool ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1437]) ).

thf(1691,plain,
    ! [SV478: $i,SV262: $i] :
      ( ( ~ ( is_bool @ SV262 )
        | ( ( hAPP_f1636546729l_bool @ ( hAPP_b1719629739l_bool @ cOMBK_789167586t_bool @ SV262 ) @ SV478 )
          = SV262 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1438]) ).

thf(1692,plain,
    ! [SV263: $i,SV479: $i] :
      ( ( ! [SY1296: $i,SY1297: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV479 ) @ ( pi_boo691944735t_bool @ SY1296 @ ( hAPP_f371807573l_bool @ cOMBK_697604314l_bool @ SY1297 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV263 ) @ SY1296 ) )
            | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV479 @ SV263 ) ) @ SY1297 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1439]) ).

thf(1693,plain,
    ! [SV264: $i,SV480: $i] :
      ( ( ! [SY1298: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV480 ) @ SY1298 ) )
            | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV264 ) @ SV480 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV264 ) @ SY1298 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1440]) ).

thf(1694,plain,
    ! [SV265: $i,SV481: $i] :
      ( ( ! [SY1299: $i,SY1300: $i] :
            ( ~ ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV481 ) @ ( pi_fun1727820731l_bool @ SY1299 @ SY1300 ) ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV265 ) @ SY1299 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV481 @ SV265 ) ) @ ( hAPP_f417299659l_bool @ SY1300 @ SV265 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1441]) ).

thf(1695,plain,
    ! [SV266: $i,SV482: $i] :
      ( ( ~ ( is_bool @ SV482 )
        | ( is_fun959573582l_bool @ ( hAPP_b1719629739l_bool @ SV266 @ SV482 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1442]) ).

thf(1696,plain,
    ! [SV267: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_A1466488369i_bool @ top_to1256827021i_bool @ SV267 ) )
            | ( hBOOL @ top_top_bool ) )
        | ~ ( ~ ( hBOOL @ top_top_bool )
            | ( hBOOL @ ( hAPP_A1466488369i_bool @ top_to1256827021i_bool @ SV267 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1443]) ).

thf(1697,plain,
    ! [SV268: $i,SV483: $i] :
      ( ( ! [SY1301: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV483 ) @ SY1301 ) )
            | ( SV483 != SV268 )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV268 ) @ SY1301 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1445]) ).

thf(1698,plain,
    ! [SV269: $i,SV484: $i] :
      ( ( ! [SY1302: $i,SY1303: $i] :
            ( ~ ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV484 ) @ ( pi_Pro437273841e_indi @ SY1302 @ ( hAPP_f1970593179i_bool @ cOMBK_100791596le_alt @ SY1303 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV269 ) @ SY1302 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV484 @ SV269 ) ) @ SY1303 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1446]) ).

thf(1699,plain,
    ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ p ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1447]) ).

thf(1700,plain,
    ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ p ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1447]) ).

thf(1701,plain,
    ! [SV485: $i,SV270: $i] :
      ( ( ~ ( is_Arr625519182e_indi @ SV270 )
        | ~ ( hBOOL @ ( inj_on24934938di_nat @ SV485 @ top_to1256827021i_bool ) )
        | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ SV485 ) @ ( hAPP_A588601142di_nat @ SV485 @ SV270 ) )
          = SV270 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1448]) ).

thf(1702,plain,
    ! [SV271: $i,SV486: $i] :
      ( ( ! [SY1304: $i,SY1305: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV486 ) @ ( pi_boo71521447t_bool @ SY1304 @ ( hAPP_f448497509l_bool @ cOMBK_1268833122l_bool @ SY1305 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV271 ) @ SY1304 ) )
            | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV486 @ SV271 ) ) @ SY1305 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1449]) ).

thf(1703,plain,
    ! [SV297: $i,SV50: $i] :
      ( ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV50 ) @ SV297 ) )
          | ( SV50 = SV297 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV297 ) @ SV50 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1481]) ).

thf(1704,plain,
    ! [SV298: $i,SV57: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ fequal_nat @ SV57 ) @ SV298 ) ) )
        = $true )
      | ( ( SV57 = SV298 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1484]) ).

thf(1705,plain,
    ! [SV487: $i,SV299: $i,SV58: $i] :
      ( ( ( hAPP_A1466488369i_bool @ ( cOMBC_277798809t_bool @ SV58 @ SV299 ) @ SV487 )
        = ( hAPP_nat_bool @ ( hAPP_A1922697556t_bool @ SV58 @ SV487 ) @ SV299 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1485]) ).

thf(1706,plain,
    ! [SV488: $i,SV300: $i,SV59: $i] :
      ( ( ( hAPP_A1922697556t_bool @ ( cOMBB_317992461e_indi @ SV59 @ SV300 ) @ SV488 )
        = ( hAPP_n1699378549t_bool @ SV59 @ ( hAPP_A588601142di_nat @ SV300 @ SV488 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1486]) ).

thf(1707,plain,
    ! [SV489: $i,SV304: $i,SV63: $i] :
      ( ( ( hAPP_A1374816149t_bool @ ( cOMBC_1778077589t_bool @ SV63 @ SV304 ) @ SV489 )
        = ( hAPP_A619995676t_bool @ ( hAPP_A702630576t_bool @ SV63 @ SV489 ) @ SV304 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1490]) ).

thf(1708,plain,
    ! [SV490: $i,SV305: $i,SV64: $i] :
      ( ( ( hAPP_A702630576t_bool @ ( cOMBC_493523632t_bool @ SV64 @ SV305 ) @ SV490 )
        = ( hAPP_A384644407t_bool @ ( hAPP_A460042315t_bool @ SV64 @ SV490 ) @ SV305 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1491]) ).

thf(1709,plain,
    ! [SV491: $i,SV306: $i,SV65: $i] :
      ( ( ( hAPP_A1374816149t_bool @ ( cOMBC_437064334t_bool @ SV65 @ SV306 ) @ SV491 )
        = ( hAPP_f1673487381t_bool @ ( hAPP_A1333445289t_bool @ SV65 @ SV491 ) @ SV306 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1492]) ).

thf(1710,plain,
    ! [SV492: $i,SV307: $i,SV66: $i] :
      ( ( ( hAPP_A1374816149t_bool @ ( cOMBS_867867294t_bool @ SV66 @ SV307 ) @ SV492 )
        = ( hAPP_f1673487381t_bool @ ( hAPP_A1333445289t_bool @ SV66 @ SV492 ) @ ( hAPP_A1374816149t_bool @ SV307 @ SV492 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1493]) ).

thf(1711,plain,
    ! [SV493: $i,SV309: $i,SV68: $i] :
      ( ( ( hAPP_A702630576t_bool @ ( cOMBB_1292070696e_indi @ SV68 @ SV309 ) @ SV493 )
        = ( hAPP_f1290184496t_bool @ SV68 @ ( hAPP_A1374816149t_bool @ SV309 @ SV493 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1495]) ).

thf(1712,plain,
    ! [SV494: $i,SV310: $i,SV69: $i] :
      ( ( ( hAPP_A460042315t_bool @ ( cOMBB_69933763e_indi @ SV69 @ SV310 ) @ SV494 )
        = ( hAPP_f1336478923t_bool @ SV69 @ ( hAPP_A1374816149t_bool @ SV310 @ SV494 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1496]) ).

thf(1713,plain,
    ! [SV495: $i,SV311: $i,SV70: $i] :
      ( ( ( hAPP_A1333445289t_bool @ ( cOMBC_481590946t_bool @ SV70 @ SV311 ) @ SV495 )
        = ( hAPP_f159424297t_bool @ ( hAPP_A869356733t_bool @ SV70 @ SV495 ) @ SV311 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1497]) ).

thf(1714,plain,
    ! [SV496: $i,SV312: $i,SV71: $i] :
      ( ( ( hAPP_A1333445289t_bool @ ( cOMBS_102864562t_bool @ SV71 @ SV312 ) @ SV496 )
        = ( hAPP_f159424297t_bool @ ( hAPP_A869356733t_bool @ SV71 @ SV496 ) @ ( hAPP_A1374816149t_bool @ SV312 @ SV496 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1498]) ).

thf(1715,plain,
    ! [SV497: $i,SV313: $i,SV72: $i] :
      ( ( ( hAPP_A869356733t_bool @ ( cOMBB_963584201e_indi @ SV72 @ SV313 ) @ SV497 )
        = ( hAPP_b1915039793t_bool @ SV72 @ ( hAPP_A1466488369i_bool @ SV313 @ SV497 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1499]) ).

thf(1716,plain,
    ! [SV73: $i,SV498: $i,SV314: $i] :
      ( ( ! [SY1306: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV314 ) @ ( pi_boo1877522301le_alt @ SV498 @ SY1306 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV73 ) @ SV498 ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV314 @ SV73 ) ) @ ( hAPP_b1024867081t_bool @ SY1306 @ SV73 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1500]) ).

thf(1717,plain,
    ! [SV315: $i,SV74: $i] :
      ( ( ( ~ ( is_fun282293932t_bool @ SV74 ) )
        = $true )
      | ( ( ( hAPP_f1673487381t_bool @ ( hAPP_f159424297t_bool @ ( hAPP_b1915039793t_bool @ if_fun1419651289t_bool @ fTrue ) @ SV74 ) @ SV315 )
          = SV74 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1501]) ).

thf(1718,plain,
    ! [SV316: $i,SV75: $i] :
      ( ( ( ~ ( is_bool @ SV75 ) )
        = $true )
      | ( ( ( hAPP_f785543729l_bool @ ( hAPP_b990649139l_bool @ cOMBK_580911210t_bool @ SV75 ) @ SV316 )
          = SV75 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1502]) ).

thf(1719,plain,
    ! [SV76: $i,SV499: $i,SV317: $i] :
      ( ( ! [SY1307: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV317 ) @ ( pi_boo71521447t_bool @ SV499 @ SY1307 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV76 ) @ SV499 ) )
            | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV317 @ SV76 ) ) @ ( hAPP_b990649139l_bool @ SY1307 @ SV76 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1503]) ).

thf(1720,plain,
    ! [SV77: $i,SV500: $i,SV318: $i] :
      ( ( ! [SY1308: $i] :
            ( ~ ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV318 ) @ ( pi_fun1736243859e_indi @ SV500 @ SY1308 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV318 @ SV77 ) ) @ ( hAPP_f749892423i_bool @ SY1308 @ SV77 ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV77 ) @ SV500 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1504]) ).

thf(1721,plain,
    ! [SV78: $i,SV319: $i,SV501: $i] :
      ( ( ! [SY1309: $i,SY1310: $i,SY1311: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV501 )
                              | ~ ( is_Arr553848933le_alt @ SY1309 ) )
                        | ~ ( is_Arr553848933le_alt @ SY1310 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1311 ) )
            | ~ ( ( SY1310 != SY1311 ) )
            | ~ ( ( SV501 != SY1309 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY1312: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1312 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1310 @ SY1311 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1312 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SY1309 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1312 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SY1309 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1312 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1310 @ SY1311 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1312 ) ) ) ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1310 @ SY1311 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SY1309 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SY1309 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1310 @ SY1311 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1505]) ).

thf(1722,plain,
    ! [SV79: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_P2075002375t_bool @ top_to2034604131t_bool @ SV79 ) )
            | ( hBOOL @ top_top_bool ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1506]) ).

thf(1723,plain,
    ! [SV79: $i] :
      ( ( ~ ( ~ ( hBOOL @ top_top_bool )
            | ( hBOOL @ ( hAPP_P2075002375t_bool @ top_to2034604131t_bool @ SV79 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1506]) ).

thf(1724,plain,
    ! [SV320: $i,SV80: $i] :
      ( ( ( ~ ~ ( ~ ( is_fun917378774i_bool @ SV80 )
                | ~ ( is_Arr625519182e_indi @ SV320 ) ) )
        = $true )
      | ( ( is_bool @ ( hAPP_A1466488369i_bool @ SV80 @ SV320 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1507]) ).

thf(1725,plain,
    ! [SV81: $i,SV502: $i,SV321: $i] :
      ( ( ! [SY1313: $i] :
            ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV321 ) @ ( pi_fun433100839t_bool @ SV502 @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ SY1313 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV81 ) @ SV502 ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV321 @ SV81 ) ) @ SY1313 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1508]) ).

thf(1726,plain,
    ! [SV322: $i,SV82: $i] :
      ( ( ( ~ ( is_fun631676118l_bool @ SV82 ) )
        = $true )
      | ( ( ( hAPP_b990649139l_bool @ ( hAPP_f448497509l_bool @ cOMBK_1268833122l_bool @ SV82 ) @ SV322 )
          = SV82 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1509]) ).

thf(1727,plain,
    ! [SV323: $i,SV83: $i] :
      ( ( ( ~ ( is_fun959573582l_bool @ SV83 ) )
        = $true )
      | ( ( is_fun631676118l_bool @ ( pi_fun433100839t_bool @ SV83 @ SV323 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1510]) ).

thf(1728,plain,
    ! [SV324: $i,SV84: $i] :
      ( ( ( ~ ~ ( ~ ( is_fun432044380l_bool @ SV84 )
                | ~ ( is_fun282293932t_bool @ SV324 ) ) )
        = $true )
      | ( ( is_bool @ ( hAPP_f745298353l_bool @ SV84 @ SV324 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1511]) ).

thf(1729,plain,
    ! [SV85: $i,SV503: $i,SV325: $i] :
      ( ( ! [SY1314: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV325 ) @ ( pi_fun2075749915e_indi @ SV503 @ ( hAPP_f1677452273i_bool @ cOMBK_1372975190t_bool @ SY1314 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV85 ) @ SV503 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV325 @ SV85 ) ) @ SY1314 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1512]) ).

thf(1730,plain,
    ! [SV86: $i,SV504: $i,SV326: $i] :
      ( ( ! [SY1315: $i] :
            ( ~ ( is_Arr625519182e_indi @ SV326 )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SV504 @ SY1315 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV326 ) @ SY1315 ) )
            | ( ( hAPP_A588601142di_nat @ SV504 @ SV326 )
             != SV86 )
            | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SY1315 @ SV504 ) @ SV86 )
              = SV326 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1513]) ).

thf(1731,plain,
    ! [SV505: $i,SV327: $i,SV87: $i] :
      ( ( ! [SY1316: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV87 )
                        | ~ ( is_Arr553848933le_alt @ SV327 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1316 ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SY1316 ) ) )
                    | ~ ( ~ ~ ( ~ ( ( SV327 != SY1316 ) )
                              | ~ ( ( SV87 != SY1316 )
                                  | ( SV87 != SV327 ) ) )
                        | ~ ( ~ ( ( SV87 != SY1316 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV327 != SY1316 ) )
                                | ~ ( ( SV87 != SY1316 )
                                    | ( SV87 != SV327 ) ) )
                          | ~ ( ~ ( ( SV87 != SY1316 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SY1316 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1514]) ).

thf(1732,plain,
    ! [SV88: $i,SV328: $i] :
      ( ( ( ~ ( is_fun631676118l_bool @ SV328 ) )
        = $true )
      | ( ( is_bool @ ( hAPP_f213304539l_bool @ SV88 @ SV328 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1515]) ).

thf(1733,plain,
    ! [SV89: $i,SV329: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV329 ) @ arrow_1239002508le_Lin ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV329 ) @ SV89 ) ) @ arrow_1239002508le_Lin ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1516]) ).

thf(1734,plain,
    ! [SV330: $i,SV90: $i] :
      ( ( ( ~ ( is_fun917378774i_bool @ SV90 ) )
        = $true )
      | ( ( ( hAPP_f749892423i_bool @ ( hAPP_f681113465i_bool @ cOMBK_454107598t_bool @ SV90 ) @ SV330 )
          = SV90 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1517]) ).

thf(1735,plain,
    ! [SV331: $i,SV91: $i,SV506: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV506 ) @ arrow_1239002508le_Lin ) )
        | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV91 @ SV331 ) ) @ SV506 ) )
        | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV331 @ SV91 ) ) @ SV506 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1518]) ).

thf(1736,plain,
    ! [SV92: $i,SV507: $i,SV332: $i] :
      ( ( ! [SY1317: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV332 ) @ ( pi_boo2007389459t_bool @ SV507 @ SY1317 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV332 @ SV92 ) ) @ ( hAPP_b1965422783l_bool @ SY1317 @ SV92 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV92 ) @ SV507 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1519]) ).

thf(1737,plain,
    ! [SV93: $i] :
      ( ( ( is_fun432044380l_bool @ SV93 )
        = $false )
      | ( ( is_fun432044380l_bool @ ( collec874260222t_bool @ SV93 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1520]) ).

thf(1738,plain,
    ! [SV94: $i,SV333: $i] :
      ( ( ( ~ ( is_fun282293932t_bool @ SV333 ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( hAPP_f1659504677e_indi @ SV94 @ SV333 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1521]) ).

thf(1739,plain,
    ! [SV95: $i,SV508: $i,SV334: $i] :
      ( ( ( SV334 != SV508 )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV508 ) @ SV95 ) )
        | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV334 ) @ SV95 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1522]) ).

thf(1740,plain,
    ! [SV96: $i,SV509: $i,SV335: $i] :
      ( ( ! [SY1318: $i] :
            ( ~ ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV335 ) @ ( pi_Arr149813489le_alt @ SV509 @ SY1318 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV335 @ SV96 ) ) @ ( hAPP_A1374816149t_bool @ SY1318 @ SV96 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV96 ) @ SV509 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1523]) ).

thf(1741,plain,
    ! [SV97: $i,SV510: $i,SV336: $i] :
      ( ( ! [SY1319: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV336 ) @ ( pi_boo71521447t_bool @ SV510 @ SY1319 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV336 @ SV97 ) ) @ ( hAPP_b990649139l_bool @ SY1319 @ SV97 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV97 ) @ SV510 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1524]) ).

thf(1742,plain,
    ! [SV98: $i,SV511: $i,SV337: $i] :
      ( ( ! [SY1320: $i] :
            ( ~ ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV337 ) @ ( pi_Arr1511953043t_bool @ SV511 @ ( hAPP_f813556705l_bool @ cOMBK_116240846e_indi @ SY1320 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV98 ) @ SV511 ) )
            | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV337 @ SV98 ) ) @ SY1320 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1525]) ).

thf(1743,plain,
    ! [SV99: $i,SV338: $i] :
      ( ( ( ~ ( is_fun917378774i_bool @ SV338 ) )
        = $true )
      | ( ( is_bool @ ( hAPP_f919661787l_bool @ SV99 @ SV338 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1526]) ).

thf(1744,plain,
    ! [SV100: $i,SV512: $i,SV339: $i] :
      ( ( ! [SY1321: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV339 ) @ ( pi_fun2075749915e_indi @ SV512 @ SY1321 ) ) )
            | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV100 ) @ SV512 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV339 @ SV100 ) ) @ ( hAPP_f355113919i_bool @ SY1321 @ SV100 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1527]) ).

thf(1745,plain,
    ! [SV101: $i,SV513: $i,SV340: $i] :
      ( ( ! [SY1322: $i] :
            ( ~ ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV340 ) @ ( pi_fun1736243859e_indi @ SV513 @ SY1322 ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV101 ) @ SV513 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV340 @ SV101 ) ) @ ( hAPP_f749892423i_bool @ SY1322 @ SV101 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1528]) ).

thf(1746,plain,
    ! [SV102: $i,SV514: $i,SV341: $i] :
      ( ( ! [SY1323: $i] :
            ( ~ ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV341 ) @ ( pi_Arr149813489le_alt @ SV514 @ SY1323 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV102 ) @ SV514 ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV341 @ SV102 ) ) @ ( hAPP_A1374816149t_bool @ SY1323 @ SV102 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1529]) ).

thf(1747,plain,
    ! [SV103: $i,SV342: $i] :
      ( ( ( ~ ( is_fun959573582l_bool @ SV342 ) )
        = $true )
      | ( ( is_bool @ ( hAPP_f453661011l_bool @ SV103 @ SV342 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1530]) ).

thf(1748,plain,
    ! [SV104: $i,SV515: $i,SV343: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV343 ) @ SV515 ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV515 ) @ SV104 ) )
        | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV343 ) @ SV104 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1531]) ).

thf(1749,plain,
    ! [SV344: $i,SV105: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV105 ) @ SV344 ) ) )
        = $true )
      | ( ( SV344 != SV105 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1532]) ).

thf(1750,plain,
    ! [SV345: $i,SV106: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV106 ) @ SV345 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV345 ) @ SV106 ) )
                  | ( SV345 = SV106 ) )
              | ~ ( ( SV345 != SV106 )
                  | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV345 ) @ SV106 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1533]) ).

thf(1751,plain,
    ! [SV516: $i,SV346: $i,SV107: $i] :
      ( ( ! [SY1324: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV107 )
                              | ~ ( is_Arr553848933le_alt @ SV346 ) )
                        | ~ ( is_Arr553848933le_alt @ SV516 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1324 ) )
            | ( ( produc171383831le_alt @ SV107 @ SV346 )
             != ( produc171383831le_alt @ SV516 @ SY1324 ) )
            | ~ ( ( SV107 != SV516 )
                | ( SV346 != SY1324 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1534]) ).

thf(1752,plain,
    ! [SV108: $i,SV347: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV347 ) )
        = $true )
      | ( ( is_fun282293932t_bool @ ( hAPP_A1374816149t_bool @ SV108 @ SV347 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1535]) ).

thf(1753,plain,
    ! [SV109: $i,SV517: $i,SV348: $i] :
      ( ( ! [SY1325: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV348 ) @ ( pi_Arr372473371t_bool @ SV517 @ ( hAPP_f1697527281l_bool @ cOMBK_1292462166e_indi @ SY1325 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV109 ) @ SV517 ) )
            | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV348 @ SV109 ) ) @ SY1325 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1536]) ).

thf(1754,plain,
    ! [SV349: $i,SV110: $i] :
      ( ( ( ~ ( is_bool @ SV110 ) )
        = $true )
      | ( ( ( hAPP_P2075002375t_bool @ ( hAPP_b1024867081t_bool @ cOMBK_2069093696le_alt @ SV110 ) @ SV349 )
          = SV110 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1537]) ).

thf(1755,plain,
    ! [SV350: $i,SV111: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV111 ) @ SV350 ) )
            | ( hBOOL @ ( hAPP_A1466488369i_bool @ SV350 @ SV111 ) ) )
        | ~ ( ~ ( hBOOL @ ( hAPP_A1466488369i_bool @ SV350 @ SV111 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV111 ) @ SV350 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1538]) ).

thf(1756,plain,
    ! [SV112: $i,SV518: $i,SV351: $i] :
      ( ( ! [SY1326: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV351 ) @ ( pi_fun525942951l_bool @ SV518 @ SY1326 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV351 @ SV112 ) ) @ ( hAPP_f497468491l_bool @ SY1326 @ SV112 ) ) )
            | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV112 ) @ SV518 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1539]) ).

thf(1757,plain,
    ! [SV519: $i,SV352: $i,SV113: $i] :
      ( ( ! [SY1327: $i,SY1328: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV113 )
                              | ~ ( is_Arr553848933le_alt @ SV352 ) )
                        | ~ ( is_Arr553848933le_alt @ SY1327 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1328 ) )
            | ~ ( ( SY1327 != SY1328 ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SY1327 ) @ SY1328 ) ) )
                    | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SY1328 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1327 @ SV352 ) ) @ SV519 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SY1328 ) )
                            | ~ ( ~ ( ( SV352 != SY1328 )
                                    | ( SV113 = SY1327 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SY1327 ) ) @ SV519 ) ) )
                                | ~ ( ~ ( ( SV352 != SY1328 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                                | ~ ( ( SV113 != SY1328 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1327 @ SV352 ) ) @ SV519 ) ) ) )
                          | ~ ( ~ ( ( SV113 != SY1328 ) )
                              | ~ ( ~ ( ( SV352 != SY1328 )
                                      | ( SV113 = SY1327 )
                                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SY1327 ) ) @ SV519 ) ) )
                                  | ~ ( ~ ( ( SV352 != SY1328 ) )
                                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SY1327 ) @ SY1328 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1540]) ).

thf(1758,plain,
    ! [SV114: $i,SV520: $i,SV353: $i] :
      ( ( ! [SY1329: $i] :
            ( ~ ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV353 ) @ ( pi_fun972956463e_indi @ SV520 @ SY1329 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV353 @ SV114 ) ) @ ( hAPP_f352490559i_bool @ SY1329 @ SV114 ) ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV114 ) @ SV520 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1541]) ).

thf(1759,plain,
    ! [SV115: $i,SV354: $i] :
      ( ( ( ~ ( is_bool @ SV354 ) )
        = $true )
      | ( ( is_bool @ ( hAPP_bool_bool @ SV115 @ SV354 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1542]) ).

thf(1760,plain,
    ! [SV355: $i,SV116: $i] :
      ( ( ( ~ ( is_fun917378774i_bool @ SV116 ) )
        = $true )
      | ( ( ( hAPP_f352490559i_bool @ ( hAPP_f1903519657i_bool @ cOMBK_2076140708t_bool @ SV116 ) @ SV355 )
          = SV116 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1543]) ).

thf(1761,plain,
    ! [SV117: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV117 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ SV117 ) ) @ arrow_413697182e_Prof ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1544]) ).

thf(1762,plain,
    ! [SV118: $i,SV521: $i,SV356: $i] :
      ( ( ! [SY1330: $i] :
            ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV356 ) @ ( pi_Pro2135156861t_bool @ SV521 @ SY1330 ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV118 ) @ SV521 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV356 @ SV118 ) ) @ ( hAPP_P2127852789l_bool @ SY1330 @ SV118 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1545]) ).

thf(1763,plain,
    ! [SV119: $i] :
      ( ( ( is_fun282293932t_bool @ SV119 )
        = $false )
      | ( ( ~ ( ~ ( ~ ( ( SV119 != top_to2034604131t_bool ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ SV119 ) @ top_to2034604131t_bool ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ SV119 ) @ top_to2034604131t_bool ) )
                  | ( SV119 != top_to2034604131t_bool ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1546]) ).

thf(1764,plain,
    ! [SV120: $i,SV357: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV357 ) )
        = $true )
      | ( ( is_fun432044380l_bool @ ( hAPP_A1944296755l_bool @ SV120 @ SV357 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1547]) ).

thf(1765,plain,
    ! [SV358: $i,SV121: $i] :
      ( ( ~ ( ~ ( ( SV121 != SV358 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV121 ) @ SV358 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV358 ) @ SV121 ) ) )
        | ~ ( ~ ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV121 ) @ SV358 ) )
                | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV358 ) @ SV121 ) ) )
            | ( SV121 != SV358 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1548]) ).

thf(1766,plain,
    ! [SV122: $i] :
      ( ( ( is_bool @ SV122 )
        = $false )
      | ( ( ( SV122 = fTrue )
          | ( SV122 = fFalse ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1549]) ).

thf(1767,plain,
    ! [SV123: $i,SV522: $i,SV359: $i] :
      ( ( ! [SY1331: $i] :
            ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV359 ) @ ( pi_Arr688267935t_bool @ SV522 @ SY1331 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV359 @ SV123 ) ) @ ( hAPP_A1944296755l_bool @ SY1331 @ SV123 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV123 ) @ SV522 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1550]) ).

thf(1768,plain,
    ! [SV360: $i,SV124: $i] :
      ( ( ( ~ ( is_fun959573582l_bool @ SV124 ) )
        = $true )
      | ( ( is_bool @ ( hAPP_f1636546729l_bool @ SV124 @ SV360 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1551]) ).

thf(1769,plain,
    ! [SV125: $i,SV523: $i,SV361: $i] :
      ( ( ! [SY1332: $i] :
            ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV361 ) @ ( pi_fun433100839t_bool @ SV523 @ SY1332 ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV125 ) @ SV523 ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV361 @ SV125 ) ) @ ( hAPP_f861484971l_bool @ SY1332 @ SV125 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1552]) ).

thf(1770,plain,
    ! [SV126: $i,SV524: $i,SV362: $i] :
      ( ( ! [SY1333: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV362 ) @ ( pi_fun525942951l_bool @ SV524 @ ( hAPP_f1235573641l_bool @ cOMBK_1072228194t_bool @ SY1333 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV126 ) @ SV524 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV362 @ SV126 ) ) @ SY1333 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1553]) ).

thf(1771,plain,
    ! [SV127: $i,SV363: $i,SV525: $i] :
      ( ( ! [SY1334: $i,SY1335: $i,SY1336: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV525 )
                              | ~ ( is_Arr553848933le_alt @ SY1334 ) )
                        | ~ ( is_Arr553848933le_alt @ SY1335 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1336 ) )
            | ~ ( ( SY1335 != SY1336 ) )
            | ~ ( ( SV525 != SY1334 ) )
            | ~ ( ( SY1335 != SY1334 ) )
            | ~ ( ( SY1336 != SV525 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY1337: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1337 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1335 @ SY1336 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1337 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SY1334 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1337 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SY1334 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1337 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1335 @ SY1336 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1337 ) ) ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1335 @ SY1336 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SY1334 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1554]) ).

thf(1772,plain,
    ! [SV128: $i,SV526: $i,SV364: $i] :
      ( ( ! [SY1338: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV364 ) @ ( pi_boo1877522301le_alt @ SV526 @ SY1338 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV364 @ SV128 ) ) @ ( hAPP_b1024867081t_bool @ SY1338 @ SV128 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV128 ) @ SV526 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1555]) ).

thf(1773,plain,
    ! [SV129: $i,SV527: $i,SV365: $i] :
      ( ( ( SV365 != SV527 )
        | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV129 ) @ SV527 ) )
        | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV129 ) @ SV365 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1556]) ).

thf(1774,plain,
    ! [SV130: $i,SV366: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV366 ) )
        = $true )
      | ( ( is_fun282293932t_bool @ ( hAPP_A619995676t_bool @ SV130 @ SV366 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1557]) ).

thf(1775,plain,
    ! [SV367: $i,SV131: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV131 ) @ SV367 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV367 ) @ SV131 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1558]) ).

thf(1776,plain,
    ! [SV132: $i] :
      ( ( ~ ( ~ ! [SY855: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY855 ) )
            | ! [SY856: $i,SY857: $i] :
                ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY856 )
                      | ~ ( is_Arr553848933le_alt @ SY857 ) )
                | ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ SY856 @ SY857 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1559]) ).

thf(1777,plain,
    ! [SV132: $i] :
      ( ( ~ ( ~ ! [SY858: $i,SY859: $i] :
                  ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY858 )
                        | ~ ( is_Arr553848933le_alt @ SY859 ) )
                  | ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ SY858 @ SY859 ) ) ) )
            | ! [SY860: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY860 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1559]) ).

thf(1778,plain,
    ! [SV133: $i,SV368: $i,SV528: $i] :
      ( ( ! [SY1339: $i,SY1340: $i,SY1341: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV528 )
                              | ~ ( is_Arr553848933le_alt @ SY1339 ) )
                        | ~ ( is_Arr553848933le_alt @ SY1340 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1341 ) )
            | ~ ( ( SY1340 != SY1341 ) )
            | ~ ( ( SV528 != SY1339 ) )
            | ~ ( ( SY1340 != SY1339 ) )
            | ~ ( ( SY1341 != SV528 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY1342: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1342 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1340 @ SY1341 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1342 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SY1339 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1342 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SY1339 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1342 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1340 @ SY1341 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1342 ) ) ) ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1340 @ SY1341 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SY1339 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SY1339 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1340 @ SY1341 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1560]) ).

thf(1779,plain,
    ! [SV369: $i,SV134: $i] :
      ( ( ( ~ ( is_fun282293932t_bool @ SV134 ) )
        = $true )
      | ( ( is_fun432044380l_bool @ ( pi_Pro2135156861t_bool @ SV134 @ SV369 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1561]) ).

thf(1780,plain,
    ! [SV370: $i,SV135: $i] :
      ( ( ( ~ ( is_fun282293932t_bool @ SV135 ) )
        = $true )
      | ( ( is_bool @ ( hAPP_P2075002375t_bool @ SV135 @ SV370 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1562]) ).

thf(1781,plain,
    ! [SV136: $i,SV529: $i,SV371: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV371 ) @ SV529 ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV529 ) @ SV371 ) )
        | ( hBOOL @ SV136 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1563]) ).

thf(1782,plain,
    ! [SV372: $i,SV137: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV137 ) @ SV372 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV372 ) @ SV137 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1564]) ).

thf(1783,plain,
    ! [SV138: $i] :
      ( ( ( is_fun282293932t_bool @ SV138 )
        = $false )
      | ( ( is_fun282293932t_bool @ ( collec1711870802le_alt @ SV138 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1565]) ).

thf(1784,plain,
    ! [SV373: $i,SV139: $i] :
      ( ( ( SV139 != SV373 )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ fequal_nat @ SV139 ) @ SV373 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1566]) ).

thf(1785,plain,
    ! [SV140: $i,SV530: $i,SV374: $i] :
      ( ( ! [SY1343: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV374 ) @ ( pi_fun525942951l_bool @ SV530 @ SY1343 ) ) )
            | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV140 ) @ SV530 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV374 @ SV140 ) ) @ ( hAPP_f497468491l_bool @ SY1343 @ SV140 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1567]) ).

thf(1786,plain,
    ! [SV375: $i,SV141: $i] :
      ( ( ( ~ ( is_fun282293932t_bool @ SV141 ) )
        = $true )
      | ( ( ( hAPP_b1024867081t_bool @ ( hAPP_f1520552209t_bool @ cOMBK_697786936l_bool @ SV141 ) @ SV375 )
          = SV141 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1568]) ).

thf(1787,plain,
    ! [SV376: $i,SV142: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV142 ) @ SV376 ) )
            | ! [SY1198: $i] :
                ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1198 ) @ arrow_413697182e_Prof ) )
                | ( ( hAPP_f695124765t_bool @ SV142 @ SY1198 )
                  = ( hAPP_A1374816149t_bool @ SY1198 @ SV376 ) ) ) )
        | ~ ( ~ ! [SY1199: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1199 ) @ arrow_413697182e_Prof ) )
                  | ( ( hAPP_f695124765t_bool @ SV142 @ SY1199 )
                    = ( hAPP_A1374816149t_bool @ SY1199 @ SV376 ) ) )
            | ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV142 ) @ SV376 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1569]) ).

thf(1788,plain,
    ! [SV143: $i] :
      ( ( ~ ( ~ ~ ~ ( ~ ( ~ ( hBOOL @ SV143 )
                        | ( hBOOL @ top_top_bool ) )
                    | ~ ( ~ ( hBOOL @ top_top_bool )
                        | ( hBOOL @ SV143 ) ) )
            | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1570]) ).

thf(1789,plain,
    ! [SV143: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
            | ~ ~ ( ~ ( ~ ( hBOOL @ SV143 )
                      | ( hBOOL @ top_top_bool ) )
                  | ~ ( ~ ( hBOOL @ top_top_bool )
                      | ( hBOOL @ SV143 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1570]) ).

thf(1790,plain,
    ! [SV377: $i,SV144: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV144 ) @ SV377 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV377 ) @ SV144 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1571]) ).

thf(1791,plain,
    ! [SV145: $i,SV531: $i,SV378: $i] :
      ( ( ! [SY1344: $i] :
            ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV378 ) @ ( pi_Arr688267935t_bool @ SV531 @ SY1344 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV145 ) @ SV531 ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV378 @ SV145 ) ) @ ( hAPP_A1944296755l_bool @ SY1344 @ SV145 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1572]) ).

thf(1792,plain,
    ! [SV146: $i] :
      ( ( ( is_fun959573582l_bool @ SV146 )
        = $false )
      | ( ( is_fun959573582l_bool @ ( collec1580242420t_bool @ SV146 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1573]) ).

thf(1793,plain,
    ! [SV147: $i,SV532: $i,SV379: $i] :
      ( ( ! [SY1345: $i] :
            ( ~ ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV379 ) @ ( pi_Arr1511953043t_bool @ SV532 @ SY1345 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV379 @ SV147 ) ) @ ( hAPP_A1912483895l_bool @ SY1345 @ SV147 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV147 ) @ SV532 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1574]) ).

thf(1794,plain,
    ! [SV380: $i,SV533: $i,SV148: $i] :
      ( ( ~ ( is_Arr625519182e_indi @ SV148 )
        | ~ ( hBOOL @ ( inj_on24934938di_nat @ SV533 @ top_to1256827021i_bool ) )
        | ( ( hAPP_A588601142di_nat @ SV533 @ SV148 )
         != SV380 )
        | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ SV533 ) @ SV380 )
          = SV148 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1575]) ).

thf(1795,plain,
    ! [SV149: $i,SV381: $i] :
      ( ( ( ~ ( is_fun282293932t_bool @ SV381 ) )
        = $true )
      | ( ( ( hAPP_f1673487381t_bool @ ( hAPP_f159424297t_bool @ ( hAPP_b1915039793t_bool @ if_fun1419651289t_bool @ fFalse ) @ SV149 ) @ SV381 )
          = SV381 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1576]) ).

thf(1796,plain,
    ! [SV382: $i,SV150: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV150 ) @ SV382 ) ) )
        = $true )
      | ( ( ~ ( ( SV150 != SV382 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV382 ) @ SV150 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1577]) ).

thf(1797,plain,
    ! [SV383: $i,SV151: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV151 ) @ SV383 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV383 ) @ SV151 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1578]) ).

thf(1798,plain,
    ! [SV384: $i,SV152: $i] :
      ( ( ( ~ ( is_bool @ SV152 ) )
        = $true )
      | ( ( ( hAPP_f745298353l_bool @ ( hAPP_b1965422783l_bool @ cOMBK_977355664t_bool @ SV152 ) @ SV384 )
          = SV152 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1579]) ).

thf(1799,plain,
    ! [SV153: $i,SV534: $i,SV385: $i] :
      ( ( ! [SY1346: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV385 ) @ ( pi_Arr372473371t_bool @ SV534 @ SY1346 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV385 @ SV153 ) ) @ ( hAPP_A1964572607l_bool @ SY1346 @ SV153 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV153 ) @ SV534 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1580]) ).

thf(1800,plain,
    ! [SV154: $i,SV386: $i] :
      ( ( ( ~ ( is_fun282293932t_bool @ SV386 ) )
        = $true )
      | ( ( is_fun282293932t_bool @ ( hAPP_f1673487381t_bool @ SV154 @ SV386 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1581]) ).

thf(1801,plain,
    ! [SV155: $i,SV535: $i,SV387: $i] :
      ( ( ! [SY1347: $i] :
            ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV387 ) @ ( pi_fun433100839t_bool @ SV535 @ SY1347 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV387 @ SV155 ) ) @ ( hAPP_f861484971l_bool @ SY1347 @ SV155 ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV155 ) @ SV535 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1582]) ).

thf(1802,plain,
    ! [SV388: $i,SV156: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV156 ) @ SV388 ) )
            | ( hBOOL @ ( hAPP_f1636546729l_bool @ SV388 @ SV156 ) ) )
        | ~ ( ~ ( hBOOL @ ( hAPP_f1636546729l_bool @ SV388 @ SV156 ) )
            | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV156 ) @ SV388 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1583]) ).

thf(1803,plain,
    ! [SV157: $i,SV536: $i,SV389: $i] :
      ( ( ! [SY1348: $i] :
            ( ~ ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV389 ) @ ( pi_fun1494794527l_bool @ SV536 @ SY1348 ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV157 ) @ SV536 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV389 @ SV157 ) ) @ ( hAPP_f313042899l_bool @ SY1348 @ SV157 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1584]) ).

thf(1804,plain,
    ! [SV537: $i,SV390: $i,SV158: $i] :
      ( ( ! [SY1349: $i] :
            ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV158 )
                  | ~ ( is_Arr625519182e_indi @ SV390 ) )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SV537 @ SY1349 ) )
            | ( ( hAPP_A588601142di_nat @ SV537 @ SV158 )
             != ( hAPP_A588601142di_nat @ SV537 @ SV390 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV158 ) @ SY1349 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV390 ) @ SY1349 ) )
            | ( SV158 = SV390 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1585]) ).

thf(1805,plain,
    ! [SV159: $i,SV538: $i,SV391: $i] :
      ( ( ! [SY1350: $i] :
            ( ~ ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV391 ) @ ( pi_fun972956463e_indi @ SV538 @ ( hAPP_f1903519657i_bool @ cOMBK_2076140708t_bool @ SY1350 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV159 ) @ SV538 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV391 @ SV159 ) ) @ SY1350 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1586]) ).

thf(1806,plain,
    ! [SV539: $i,SV392: $i,SV160: $i] :
      ( ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV160 )
              | ~ ( is_Arr625519182e_indi @ SV392 ) )
        | ~ ( hBOOL @ ( inj_on24934938di_nat @ SV539 @ top_to1256827021i_bool ) )
        | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
                 != ( hAPP_A588601142di_nat @ SV539 @ SV392 ) )
                | ( SV160 = SV392 ) )
            | ~ ( ( SV160 != SV392 )
                | ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
                  = ( hAPP_A588601142di_nat @ SV539 @ SV392 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1587]) ).

thf(1807,plain,
    ! [SV393: $i,SV161: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV161 ) @ SV393 ) ) )
        = $true )
      | ( ( SV161 != SV393 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1588]) ).

thf(1808,plain,
    ! [SV162: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
            | ! [SY913: $i] :
                ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY913 ) @ arrow_413697182e_Prof ) )
                | ! [SY914: $i,SY915: $i] :
                    ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY914 )
                          | ~ ( is_Arr553848933le_alt @ SY915 ) )
                    | ~ ! [SX4: $i] :
                          ( ~ ( is_Arr625519182e_indi @ SX4 )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY914 @ SY915 ) ) @ ( hAPP_A1374816149t_bool @ SY913 @ SX4 ) ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY914 @ SY915 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SY913 ) ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1589]) ).

thf(1809,plain,
    ! [SV162: $i] :
      ( ( ~ ( ~ ! [SY917: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY917 ) @ arrow_413697182e_Prof ) )
                  | ! [SY918: $i,SY919: $i] :
                      ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY918 )
                            | ~ ( is_Arr553848933le_alt @ SY919 ) )
                      | ~ ! [SX4: $i] :
                            ( ~ ( is_Arr625519182e_indi @ SX4 )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY918 @ SY919 ) ) @ ( hAPP_A1374816149t_bool @ SY917 @ SX4 ) ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY918 @ SY919 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SY917 ) ) ) ) )
            | ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1589]) ).

thf(1810,plain,
    ! [SV163: $i,SV540: $i,SV394: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV394 ) @ SV540 ) )
        | ( SV540 != SV163 )
        | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV394 ) @ SV163 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1590]) ).

thf(1811,plain,
    ! [SV395: $i,SV164: $i] :
      ( ( ( ~ ( is_fun917378774i_bool @ SV164 ) )
        = $true )
      | ( ( ( hAPP_f355113919i_bool @ ( hAPP_f1677452273i_bool @ cOMBK_1372975190t_bool @ SV164 ) @ SV395 )
          = SV164 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1591]) ).

thf(1812,plain,
    ! [SV396: $i,SV165: $i] :
      ( ( ( ~ ( is_fun917378774i_bool @ SV165 ) )
        = $true )
      | ( ( ( hAPP_P907763049i_bool @ ( hAPP_f1970593179i_bool @ cOMBK_100791596le_alt @ SV165 ) @ SV396 )
          = SV165 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1592]) ).

thf(1813,plain,
    ! [SV166: $i,SV541: $i,SV397: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV397 ) @ SV541 ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV166 ) @ SV397 ) )
        | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV166 ) @ SV541 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1593]) ).

thf(1814,plain,
    ! [SV398: $i,SV167: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV167 ) @ SV398 ) ) )
        = $true )
      | ( ( SV167 != SV398 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1594]) ).

thf(1815,plain,
    ! [SV399: $i,SV168: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV168 )
                | ~ ( is_Arr553848933le_alt @ SV399 ) ) )
        = $true )
      | ( ( ~ ( ( SV168 != SV399 ) )
          | ~ ! [SY1218: $i] :
                ~ ~ ( ~ ~ ( ~ ( is_fun282293932t_bool @ SY1218 )
                          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY1218 ) @ arrow_1239002508le_Lin ) ) )
                    | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV168 @ SV399 ) ) @ SY1218 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1595]) ).

thf(1816,plain,
    ! [SV169: $i,SV542: $i,SV400: $i] :
      ( ( ! [SY1351: $i] :
            ( ~ ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV400 ) @ ( pi_Pro437273841e_indi @ SV542 @ SY1351 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV400 @ SV169 ) ) @ ( hAPP_P907763049i_bool @ SY1351 @ SV169 ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV169 ) @ SV542 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1596]) ).

thf(1817,plain,
    ! [SV401: $i,SV170: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV170 ) @ SV401 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV401 ) @ SV170 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1597]) ).

thf(1818,plain,
    ! [SV402: $i,SV171: $i] :
      ( ( ( ~ ( is_fun959573582l_bool @ SV171 ) )
        = $true )
      | ( ( ( hAPP_A1912483895l_bool @ ( hAPP_f813556705l_bool @ cOMBK_116240846e_indi @ SV171 ) @ SV402 )
          = SV171 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1598]) ).

thf(1819,plain,
    ! [SV172: $i,SV403: $i] :
      ( ( ( ~ ( is_fun282293932t_bool @ SV403 ) )
        = $true )
      | ( ( is_fun432044380l_bool @ ( hAPP_f2056167603l_bool @ SV172 @ SV403 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1599]) ).

thf(1820,plain,
    ! [SV173: $i,SV404: $i,SV543: $i] :
      ( ( ! [SY1352: $i] :
            ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV543 )
                  | ~ ( is_Arr553848933le_alt @ SY1352 ) )
            | ~ ( ( SV543 != SY1352 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY1353: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1353 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SY1352 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1353 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1352 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1353 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1352 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1353 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SY1352 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1353 ) ) ) ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SY1352 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1352 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1352 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SY1352 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1600]) ).

thf(1821,plain,
    ! [SV174: $i,SV544: $i,SV405: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV405 ) @ SV544 ) )
        | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV544 ) @ SV174 ) )
        | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV405 ) @ SV174 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1601]) ).

thf(1822,plain,
    ! [SV406: $i,SV175: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV175 ) @ SV406 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV406 ) @ SV175 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1602]) ).

thf(1823,plain,
    ! [SV407: $i,SV176: $i] :
      ( ( ( ~ ( is_fun917378774i_bool @ SV176 ) )
        = $true )
      | ( ( is_fun1016509681e_indi @ ( hilber1792103167di_nat @ SV176 @ SV407 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1603]) ).

thf(1824,plain,
    ! [SV177: $i,SV545: $i,SV408: $i] :
      ( ( ! [SY1354: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV408 ) @ ( pi_boo1877522301le_alt @ SV545 @ ( hAPP_f1520552209t_bool @ cOMBK_697786936l_bool @ SY1354 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV177 ) @ SV545 ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV408 @ SV177 ) ) @ SY1354 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1604]) ).

thf(1825,plain,
    ! [SV409: $i,SV178: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV178 ) @ SV409 ) )
            | ( hBOOL @ ( hAPP_f785543729l_bool @ SV409 @ SV178 ) ) )
        | ~ ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ SV409 @ SV178 ) )
            | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV178 ) @ SV409 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1605]) ).

thf(1826,plain,
    ! [SV179: $i,SV410: $i] :
      ( ( ( ~ ( is_bool @ SV410 ) )
        = $true )
      | ( ( is_fun631676118l_bool @ ( hAPP_b990649139l_bool @ SV179 @ SV410 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1606]) ).

thf(1827,plain,
    ! [SV180: $i,SV411: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV411 ) )
        = $true )
      | ( ( is_fun959573582l_bool @ ( hAPP_A1912483895l_bool @ SV180 @ SV411 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1607]) ).

thf(1828,plain,
    ! [SV181: $i,SV546: $i,SV412: $i] :
      ( ( ! [SY1355: $i] :
            ( ~ ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV412 ) @ ( pi_fun1494794527l_bool @ SV546 @ SY1355 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV412 @ SV181 ) ) @ ( hAPP_f313042899l_bool @ SY1355 @ SV181 ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV181 ) @ SV546 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1608]) ).

thf(1829,plain,
    ! [SV413: $i,SV182: $i] :
      ( ( ( ~ ( is_fun631676118l_bool @ SV182 ) )
        = $true )
      | ( ( ( hAPP_A1964572607l_bool @ ( hAPP_f1697527281l_bool @ cOMBK_1292462166e_indi @ SV182 ) @ SV413 )
          = SV182 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1609]) ).

thf(1830,plain,
    ! [SV414: $i,SV183: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV183 ) @ SV414 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV414 ) @ SV183 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1610]) ).

thf(1831,plain,
    ! [SV184: $i,SV415: $i] :
      ( ( ( ~ ( is_fun917378774i_bool @ SV415 ) )
        = $true )
      | ( ( is_bool @ ( inj_on24934938di_nat @ SV184 @ SV415 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1611]) ).

thf(1832,plain,
    ! [SV185: $i] :
      ( ( ( is_fun917378774i_bool @ SV185 )
        = $false )
      | ( ( ( collec45183100e_indi @ SV185 )
          = SV185 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1612]) ).

thf(1833,plain,
    ! [SV186: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1636546729l_bool @ top_to1194196741l_bool @ SV186 ) )
            | ( hBOOL @ top_top_bool ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1613]) ).

thf(1834,plain,
    ! [SV186: $i] :
      ( ( ~ ( ~ ( hBOOL @ top_top_bool )
            | ( hBOOL @ ( hAPP_f1636546729l_bool @ top_to1194196741l_bool @ SV186 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1613]) ).

thf(1835,plain,
    ! [SV187: $i] :
      ( ( ( is_bool @ SV187 )
        = $false )
      | ( ( ( SV187 = fTrue )
          | ( SV187 = fFalse ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1614]) ).

thf(1836,plain,
    ! [SV416: $i,SV188: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV188 ) @ SV416 ) )
            | ( hBOOL @ ( hAPP_P2075002375t_bool @ SV416 @ SV188 ) ) )
        | ~ ( ~ ( hBOOL @ ( hAPP_P2075002375t_bool @ SV416 @ SV188 ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV188 ) @ SV416 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1615]) ).

thf(1837,plain,
    ! [SV547: $i,SV417: $i,SV189: $i] :
      ( ( ! [SY1356: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV189 )
                        | ~ ( is_Arr553848933le_alt @ SV417 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1356 ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SY1356 ) ) )
                    | ~ ( ~ ~ ( ~ ( ( SV189 != SY1356 ) )
                              | ~ ( ( SV417 != SY1356 )
                                  | ( SV189 != SV417 ) ) )
                        | ~ ( ~ ( ( SV417 != SY1356 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV189 != SY1356 ) )
                                | ~ ( ( SV417 != SY1356 )
                                    | ( SV189 != SV417 ) ) )
                          | ~ ( ~ ( ( SV417 != SY1356 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SY1356 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1616]) ).

thf(1838,plain,
    ! [SV190: $i,SV548: $i,SV418: $i] :
      ( ( ! [SY1357: $i] :
            ( ~ ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV418 ) @ ( pi_fun972956463e_indi @ SV548 @ SY1357 ) ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV190 ) @ SV548 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV418 @ SV190 ) ) @ ( hAPP_f352490559i_bool @ SY1357 @ SV190 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1617]) ).

thf(1839,plain,
    ! [SV191: $i,SV419: $i] :
      ( ( ( ~ ( is_fun282293932t_bool @ SV419 ) )
        = $true )
      | ( ( is_fun917378774i_bool @ ( hAPP_f352490559i_bool @ SV191 @ SV419 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1618]) ).

thf(1840,plain,
    ! [SV192: $i,SV549: $i,SV420: $i] :
      ( ( ( SV420 != SV549 )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV192 ) @ SV549 ) )
        | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV192 ) @ SV420 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1619]) ).

thf(1841,plain,
    ! [SV550: $i,SV421: $i,SV193: $i] :
      ( ( ! [SY1358: $i] :
            ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV193 )
                  | ~ ( is_Arr625519182e_indi @ SV421 ) )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SV550 @ SY1358 ) )
            | ~ ( ( SV193 != SV421 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV193 ) @ SY1358 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV421 ) @ SY1358 ) )
            | ( ( hAPP_A588601142di_nat @ SV550 @ SV193 )
             != ( hAPP_A588601142di_nat @ SV550 @ SV421 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1620]) ).

thf(1842,plain,
    ! [SV194: $i] :
      ( ( ( ! [SY969: $i,SY970: $i] :
              ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SY969 )
                    | ~ ( is_Arr625519182e_indi @ SY970 ) )
              | ( ( hAPP_A588601142di_nat @ SV194 @ SY969 )
               != ( hAPP_A588601142di_nat @ SV194 @ SY970 ) )
              | ( SY969 = SY970 ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV194 @ top_to1256827021i_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1621]) ).

thf(1843,plain,
    ! [SV195: $i] :
      ( ( ( is_fun959573582l_bool @ SV195 )
        = $false )
      | ( ( ~ ( ~ ( ~ ( ( SV195 != top_to1194196741l_bool ) )
                  | ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ SV195 ) @ top_to1194196741l_bool ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ SV195 ) @ top_to1194196741l_bool ) )
                  | ( SV195 != top_to1194196741l_bool ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1622]) ).

thf(1844,plain,
    ! [SV551: $i,SV422: $i,SV196: $i] :
      ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV196 )
              | ~ ( is_Arr553848933le_alt @ SV422 ) )
        | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
        | ~ ( ( SV196 != SV422 ) )
        | ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) )
                | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1623]) ).

thf(1845,plain,
    ! [SV552: $i,SV423: $i,SV197: $i] :
      ( ( ! [SY1359: $i] :
            ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV197 )
                  | ~ ( is_Arr625519182e_indi @ SV423 ) )
            | ~ ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SY1359 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SY1359 ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SY1359 ) )
            | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                     != ( hAPP_A588601142di_nat @ SV552 @ SV197 ) )
                    | ( SV423 = SV197 ) )
                | ~ ( ( SV423 != SV197 )
                    | ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                      = ( hAPP_A588601142di_nat @ SV552 @ SV197 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1624]) ).

thf(1846,plain,
    ! [SV198: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ top_to2005687013l_bool @ SV198 ) )
            | ( hBOOL @ top_top_bool ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1625]) ).

thf(1847,plain,
    ! [SV198: $i] :
      ( ( ~ ( ~ ( hBOOL @ top_top_bool )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ top_to2005687013l_bool @ SV198 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1625]) ).

thf(1848,plain,
    ! [SV199: $i,SV553: $i,SV424: $i] :
      ( ( ! [SY1360: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV424 ) @ ( pi_boo2007389459t_bool @ SV553 @ ( hAPP_f2135750719l_bool @ cOMBK_971068024l_bool @ SY1360 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV199 ) @ SV553 ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV424 @ SV199 ) ) @ SY1360 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1626]) ).

thf(1849,plain,
    ! [SV200: $i,SV425: $i] :
      ( ( ( ~ ( is_bool @ SV425 ) )
        = $true )
      | ( ( is_fun432044380l_bool @ ( hAPP_b1965422783l_bool @ SV200 @ SV425 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1627]) ).

thf(1850,plain,
    ! [SV201: $i,SV554: $i,SV426: $i] :
      ( ( ! [SY1361: $i] :
            ( ~ ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV426 ) @ ( pi_Arr149813489le_alt @ SV554 @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ SY1361 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV201 ) @ SV554 ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV426 @ SV201 ) ) @ SY1361 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1628]) ).

thf(1851,plain,
    ! [SV427: $i,SV202: $i] :
      ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV202 ) @ SV427 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV427 ) @ SV202 ) )
            | ( SV202 = SV427 ) )
        | ~ ( ~ ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV427 ) @ SV202 ) )
                | ( SV202 = SV427 ) )
            | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV202 ) @ SV427 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1629]) ).

thf(1852,plain,
    ! [SV203: $i] :
      ( ( ( is_fun917378774i_bool @ SV203 )
        = $false )
      | ( ( ~ ( ~ ( ~ ( ( SV203 != top_to1256827021i_bool ) )
                  | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV203 ) @ top_to1256827021i_bool ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV203 ) @ top_to1256827021i_bool ) )
                  | ( SV203 != top_to1256827021i_bool ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1630]) ).

thf(1853,plain,
    ! [SV204: $i,SV555: $i,SV428: $i] :
      ( ( ! [SY1362: $i] :
            ( ~ ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV428 ) @ ( pi_fun1494794527l_bool @ SV555 @ ( hAPP_f219827985l_bool @ cOMBK_886533338t_bool @ SY1362 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV204 ) @ SV555 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV428 @ SV204 ) ) @ SY1362 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1631]) ).

thf(1854,plain,
    ! [SV429: $i,SV205: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV205 ) @ SV429 ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ SV429 @ SV205 ) ) )
        | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ SV429 @ SV205 ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV205 ) @ SV429 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1632]) ).

thf(1855,plain,
    ! [SV206: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) )
                | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                    | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                             != n )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
                        | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                                 != n ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1633]) ).

thf(1856,plain,
    ! [SV206: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) )
                  | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                               != n )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
                          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                                   != n ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1633]) ).

thf(1857,plain,
    ! [SV430: $i,SV207: $i] :
      ( ( ( ~ ( is_fun631676118l_bool @ SV207 ) )
        = $true )
      | ( ( is_bool @ ( hAPP_f785543729l_bool @ SV207 @ SV430 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1634]) ).

thf(1858,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
            | ! [SY1245: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1245 )
                | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1245 ) @ SV431 ) )
                | ! [SY1246: $i] :
                    ( ~ ( is_Arr625519182e_indi @ SY1246 )
                    | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1246 ) @ SV431 ) )
                    | ( ( hAPP_A588601142di_nat @ SV208 @ SY1245 )
                     != ( hAPP_A588601142di_nat @ SV208 @ SY1246 ) )
                    | ( SY1245 = SY1246 ) ) ) )
        | ~ ( ~ ! [SY1247: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1247 )
                  | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1247 ) @ SV431 ) )
                  | ! [SY1248: $i] :
                      ( ~ ( is_Arr625519182e_indi @ SY1248 )
                      | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1248 ) @ SV431 ) )
                      | ( ( hAPP_A588601142di_nat @ SV208 @ SY1247 )
                       != ( hAPP_A588601142di_nat @ SV208 @ SY1248 ) )
                      | ( SY1247 = SY1248 ) ) )
            | ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1635]) ).

thf(1859,plain,
    ! [SV209: $i,SV556: $i,SV432: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV432 ) @ SV556 ) )
        | ( SV556 != SV209 )
        | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV432 ) @ SV209 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1636]) ).

thf(1860,plain,
    ! [SV433: $i,SV210: $i] :
      ( ( ( ~ ( is_fun917378774i_bool @ SV210 ) )
        = $true )
      | ( ( is_fun959573582l_bool @ ( pi_Arr688267935t_bool @ SV210 @ SV433 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1637]) ).

thf(1861,plain,
    ! [SV211: $i,SV434: $i] :
      ( ( ( ~ ( is_fun432044380l_bool @ SV434 ) )
        = $true )
      | ( ( is_bool @ ( hAPP_f503012287l_bool @ SV211 @ SV434 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1638]) ).

thf(1862,plain,
    ! [SV435: $i,SV212: $i] :
      ( ( ( ~ ( is_fun1016509681e_indi @ SV212 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV435 @ top_to1256827021i_bool ) )
          | ~ ! [SY1250: $i] :
                ( ( hAPP_A588601142di_nat @ SV435 @ ( hAPP_n385347014e_indi @ SV212 @ SY1250 ) )
                = SY1250 )
          | ( ( hilber1792103167di_nat @ top_to1256827021i_bool @ SV435 )
            = SV212 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1639]) ).

thf(1863,plain,
    ! [SV213: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
            | ! [SY1000: $i] :
                ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1000 ) @ arrow_413697182e_Prof ) )
                | ! [SY1001: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1001 ) @ arrow_413697182e_Prof ) )
                    | ! [SY1002: $i,SY1003: $i] :
                        ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1002 )
                              | ~ ( is_Arr553848933le_alt @ SY1003 ) )
                        | ~ ! [SX5: $i] :
                              ( ~ ( is_Arr625519182e_indi @ SX5 )
                              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1000 @ SX5 ) ) )
                                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1001 @ SX5 ) ) ) )
                                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1001 @ SX5 ) ) )
                                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1000 @ SX5 ) ) ) ) ) )
                        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1000 ) ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1001 ) ) ) )
                            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1001 ) ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1000 ) ) ) ) ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1640]) ).

thf(1864,plain,
    ! [SV213: $i] :
      ( ( ~ ( ~ ! [SY1005: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1005 ) @ arrow_413697182e_Prof ) )
                  | ! [SY1006: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1006 ) @ arrow_413697182e_Prof ) )
                      | ! [SY1007: $i,SY1008: $i] :
                          ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1007 )
                                | ~ ( is_Arr553848933le_alt @ SY1008 ) )
                          | ~ ! [SX5: $i] :
                                ( ~ ( is_Arr625519182e_indi @ SX5 )
                                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1005 @ SX5 ) ) )
                                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1006 @ SX5 ) ) ) )
                                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1006 @ SX5 ) ) )
                                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1005 @ SX5 ) ) ) ) ) )
                          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1005 ) ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1006 ) ) ) )
                              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1006 ) ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1005 ) ) ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1640]) ).

thf(1865,plain,
    ! [SV214: $i,SV557: $i,SV436: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV436 ) @ SV557 ) )
        | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV557 ) @ SV436 ) )
        | ( hBOOL @ SV214 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1641]) ).

thf(1866,plain,
    ! [SV437: $i,SV215: $i] :
      ( ( ( ~ ( ( SV215 != SV437 ) ) )
        = $true )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV215 ) @ SV437 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV437 ) @ SV215 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1642]) ).

thf(1867,plain,
    ! [SV216: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ top_to40512653l_bool @ SV216 ) )
            | ( hBOOL @ top_top_bool ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1643]) ).

thf(1868,plain,
    ! [SV216: $i] :
      ( ( ~ ( ~ ( hBOOL @ top_top_bool )
            | ( hBOOL @ ( hAPP_f785543729l_bool @ top_to40512653l_bool @ SV216 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1643]) ).

thf(1869,plain,
    ! [SV438: $i,SV217: $i] :
      ( ( ( ~ ( is_fun1016509681e_indi @ SV217 ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( hAPP_n385347014e_indi @ SV217 @ SV438 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1644]) ).

thf(1870,plain,
    ! [SV218: $i,SV558: $i,SV439: $i] :
      ( ( ! [SY1363: $i] :
            ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV439 ) @ ( pi_Pro2135156861t_bool @ SV558 @ ( hAPP_f1724001331l_bool @ cOMBK_2008994872le_alt @ SY1363 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV218 ) @ SV558 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV439 @ SV218 ) ) @ SY1363 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1645]) ).

thf(1871,plain,
    ! [SV219: $i,SV440: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) ) )
        = $true )
      | ( ( ~ ! [SY1254: $i] :
                ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1254 ) @ arrow_413697182e_Prof ) )
                | ! [SY1255: $i,SY1256: $i] :
                    ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1255 )
                          | ~ ( is_Arr553848933le_alt @ SY1256 ) )
                    | ~ ( ( SY1255 != SY1256 ) )
                    | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1255 @ SY1256 ) ) @ ( hAPP_A1374816149t_bool @ SY1254 @ SV219 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1255 @ SY1256 ) ) @ ( hAPP_f695124765t_bool @ SV440 @ SY1254 ) ) ) ) )
          | ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1646]) ).

thf(1872,plain,
    ! [SV220: $i,SV559: $i,SV441: $i] :
      ( ( ! [SY1364: $i] :
            ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV441 ) @ ( pi_Pro2135156861t_bool @ SV559 @ SY1364 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV441 @ SV220 ) ) @ ( hAPP_P2127852789l_bool @ SY1364 @ SV220 ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV220 ) @ SV559 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1647]) ).

thf(1873,plain,
    ! [SV221: $i,SV560: $i,SV442: $i] :
      ( ( ( SV442 != SV560 )
        | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV560 ) @ SV221 ) )
        | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV442 ) @ SV221 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1648]) ).

thf(1874,plain,
    ! [SV443: $i,SV222: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV222 ) @ SV443 ) ) )
        = $true )
      | ( ( SV222 != SV443 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1649]) ).

thf(1875,plain,
    ! [SV444: $i,SV223: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV223 ) @ SV444 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV444 ) @ SV223 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1650]) ).

thf(1876,plain,
    ! [SV224: $i,SV561: $i,SV445: $i] :
      ( ( ! [SY1365: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV445 ) @ ( pi_fun2075749915e_indi @ SV561 @ SY1365 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV445 @ SV224 ) ) @ ( hAPP_f355113919i_bool @ SY1365 @ SV224 ) ) )
            | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV224 ) @ SV561 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1651]) ).

thf(1877,plain,
    ! [SV562: $i,SV446: $i,SV225: $i] :
      ( ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV225 )
              | ~ ( is_Arr625519182e_indi @ SV446 ) )
        | ~ ( hBOOL @ ( inj_on24934938di_nat @ SV562 @ top_to1256827021i_bool ) )
        | ( ( hAPP_A588601142di_nat @ SV562 @ SV225 )
         != ( hAPP_A588601142di_nat @ SV562 @ SV446 ) )
        | ( SV225 = SV446 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1652]) ).

thf(1878,plain,
    ! [SV226: $i,SV563: $i,SV447: $i] :
      ( ( ! [SY1366: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV447 ) @ ( pi_boo2007389459t_bool @ SV563 @ SY1366 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV226 ) @ SV563 ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV447 @ SV226 ) ) @ ( hAPP_b1965422783l_bool @ SY1366 @ SV226 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1653]) ).

thf(1879,plain,
    ! [SV448: $i,SV227: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV227 ) @ SV448 ) )
            | ( hBOOL @ ( hAPP_bool_bool @ SV448 @ SV227 ) ) )
        | ~ ( ~ ( hBOOL @ ( hAPP_bool_bool @ SV448 @ SV227 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV227 ) @ SV448 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1654]) ).

thf(1880,plain,
    ! [SV564: $i,SV449: $i,SV228: $i] :
      ( ( ! [SY1367: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV228 )
                              | ~ ( is_Arr553848933le_alt @ SV449 ) )
                        | ~ ( is_Arr553848933le_alt @ SV564 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1367 ) )
            | ~ ( ~ ( ( ( produc171383831le_alt @ SV228 @ SV449 )
                     != ( produc171383831le_alt @ SV564 @ SY1367 ) )
                    | ~ ( ( SV228 != SV564 )
                        | ( SV449 != SY1367 ) ) )
                | ~ ( ~ ~ ( ( SV228 != SV564 )
                          | ( SV449 != SY1367 ) )
                    | ( ( produc171383831le_alt @ SV228 @ SV449 )
                      = ( produc171383831le_alt @ SV564 @ SY1367 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1655]) ).

thf(1881,plain,
    ! [SV229: $i,SV565: $i,SV450: $i] :
      ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV450 )
              | ~ ( is_Arr553848933le_alt @ SV565 ) )
        | ~ ( ( SV450 != SV565 ) )
        | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV229 ) @ arrow_1239002508le_Lin ) )
        | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV229 ) @ SV450 ) @ SV565 ) ) @ arrow_1239002508le_Lin ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1656]) ).

thf(1882,plain,
    ! [SV230: $i,SV566: $i,SV451: $i] :
      ( ( ! [SY1368: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV451 ) @ ( pi_boo691944735t_bool @ SV566 @ SY1368 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV451 @ SV230 ) ) @ ( hAPP_b1719629739l_bool @ SY1368 @ SV230 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV230 ) @ SV566 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1657]) ).

thf(1883,plain,
    ! [SV452: $i,SV231: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV231 ) @ SV452 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV452 ) @ SV231 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1658]) ).

thf(1884,plain,
    ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBC_437064334t_bool @ ( cOMBC_481590946t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ lab ) @ lba ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1659]) ).

thf(1885,plain,
    ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBC_437064334t_bool @ ( cOMBC_481590946t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ lab ) @ lba ) ) ) )
      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1660]) ).

thf(1886,plain,
    ! [SV232: $i,SV567: $i,SV453: $i] :
      ( ( ! [SY1369: $i] :
            ( ~ ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV453 ) @ ( pi_fun1727820731l_bool @ SV567 @ ( hAPP_f1667233577l_bool @ cOMBK_1015076504t_bool @ SY1369 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV232 ) @ SV567 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV453 @ SV232 ) ) @ SY1369 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1661]) ).

thf(1887,plain,
    ! [SV454: $i,SV233: $i] :
      ( ( ( ~ ( is_fun282293932t_bool @ SV233 ) )
        = $true )
      | ( ( ( hAPP_A1374816149t_bool @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ SV233 ) @ SV454 )
          = SV233 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1662]) ).

thf(1888,plain,
    ! [SV234: $i,SV455: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV455 ) )
        = $true )
      | ( ( is_fun631676118l_bool @ ( hAPP_A1964572607l_bool @ SV234 @ SV455 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1663]) ).

thf(1889,plain,
    ! [SV235: $i] :
      ( ( ( is_fun432044380l_bool @ SV235 )
        = $false )
      | ( ( ~ ( ~ ( ~ ( ( SV235 != top_to2005687013l_bool ) )
                  | ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ SV235 ) @ top_to2005687013l_bool ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ SV235 ) @ top_to2005687013l_bool ) )
                  | ( SV235 != top_to2005687013l_bool ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1664]) ).

thf(1890,plain,
    ! [SV236: $i,SV456: $i,SV568: $i] :
      ( ( ! [SY1370: $i,SY1371: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV568 )
                        | ~ ( is_Arr553848933le_alt @ SY1370 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1371 ) )
            | ~ ( ( SY1370 != SY1371 ) )
            | ~ ( ( SY1371 != SV568 ) )
            | ~ ( ( SY1370 != SV568 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY1372: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1372 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1370 @ SY1371 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1372 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1371 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1372 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1371 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1372 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1370 @ SY1371 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1372 ) ) ) ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1370 @ SY1371 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1371 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1371 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1370 @ SY1371 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1665]) ).

thf(1891,plain,
    ! [SV237: $i,SV457: $i] :
      ( ( ( ~ ( is_bool @ SV457 ) )
        = $true )
      | ( ( is_fun917378774i_bool @ ( hAPP_b1018211123i_bool @ SV237 @ SV457 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1666]) ).

thf(1892,plain,
    ! [SV458: $i,SV238: $i] :
      ( ( ( ~ ( is_bool @ SV238 ) )
        = $true )
      | ( ( ( hAPP_A1466488369i_bool @ ( hAPP_b1018211123i_bool @ cOMBK_1157044842e_indi @ SV238 ) @ SV458 )
          = SV238 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1667]) ).

thf(1893,plain,
    ! [SV239: $i,SV569: $i,SV459: $i] :
      ( ( ! [SY1373: $i] :
            ( ~ ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV459 ) @ ( pi_fun1736243859e_indi @ SV569 @ ( hAPP_f681113465i_bool @ cOMBK_454107598t_bool @ SY1373 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV239 ) @ SV569 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV459 @ SV239 ) ) @ SY1373 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1668]) ).

thf(1894,plain,
    ! [SV240: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
                  | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                                   != n ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
                | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1669]) ).

thf(1895,plain,
    ! [SV240: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
                  | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
                | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                    | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                             != n )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                        | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                                 != n ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1669]) ).

thf(1896,plain,
    ! [SV460: $i,SV241: $i] :
      ( ( ( ~ ( is_fun432044380l_bool @ SV241 ) )
        = $true )
      | ( ( ( hAPP_f861484971l_bool @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ SV241 ) @ SV460 )
          = SV241 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1670]) ).

thf(1897,plain,
    ! [SV570: $i,SV461: $i,SV242: $i] :
      ( ( ~ ( is_Arr625519182e_indi @ SV242 )
        | ~ ( hBOOL @ ( inj_on24934938di_nat @ SV461 @ SV570 ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV242 ) @ SV570 ) )
        | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SV570 @ SV461 ) @ ( hAPP_A588601142di_nat @ SV461 @ SV242 ) )
          = SV242 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1671]) ).

thf(1898,plain,
    ! [SV243: $i,SV571: $i,SV462: $i] :
      ( ( ! [SY1374: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV462 ) @ ( pi_boo691944735t_bool @ SV571 @ SY1374 ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV243 ) @ SV571 ) )
            | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV462 @ SV243 ) ) @ ( hAPP_b1719629739l_bool @ SY1374 @ SV243 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1672]) ).

thf(1899,plain,
    ! [SV463: $i,SV244: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV244 ) @ SV463 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV463 ) @ SV244 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1673]) ).

thf(1900,plain,
    ! [SV245: $i,SV464: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV464 ) @ arrow_1239002508le_Lin ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV464 ) @ SV245 ) ) @ arrow_1239002508le_Lin ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1674]) ).

thf(1901,plain,
    ! [SV465: $i,SV246: $i] :
      ( ( ( ~ ( is_fun959573582l_bool @ SV246 ) )
        = $true )
      | ( ( ( hAPP_b1719629739l_bool @ ( hAPP_f371807573l_bool @ cOMBK_697604314l_bool @ SV246 ) @ SV465 )
          = SV246 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1675]) ).

thf(1902,plain,
    ! [SV247: $i,SV572: $i,SV466: $i] :
      ( ( ! [SY1375: $i] :
            ( ~ ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV466 ) @ ( pi_Pro437273841e_indi @ SV572 @ SY1375 ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV247 ) @ SV572 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV466 @ SV247 ) ) @ ( hAPP_P907763049i_bool @ SY1375 @ SV247 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1676]) ).

thf(1903,plain,
    ! [SV248: $i,SV573: $i,SV467: $i] :
      ( ( ! [SY1376: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV467 ) @ ( pi_Arr372473371t_bool @ SV573 @ SY1376 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV248 ) @ SV573 ) )
            | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV467 @ SV248 ) ) @ ( hAPP_A1964572607l_bool @ SY1376 @ SV248 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1677]) ).

thf(1904,plain,
    ! [SV249: $i,SV574: $i,SV468: $i] :
      ( ( ! [SY1377: $i] :
            ( ~ ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV468 ) @ ( pi_fun1727820731l_bool @ SV574 @ SY1377 ) ) )
            | ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV468 @ SV249 ) ) @ ( hAPP_f417299659l_bool @ SY1377 @ SV249 ) ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV249 ) @ SV574 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1678]) ).

thf(1905,plain,
    ! [SV469: $i,SV250: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV250 ) @ SV469 ) ) )
        = $true )
      | ( ( SV250 != SV469 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1679]) ).

thf(1906,plain,
    ! [SV251: $i,SV470: $i] :
      ( ( ( ~ ( is_bool @ SV470 ) )
        = $true )
      | ( ( is_fun282293932t_bool @ ( hAPP_b1024867081t_bool @ SV251 @ SV470 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1680]) ).

thf(1907,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( ~ ~ ( ~ ( is_fun282293932t_bool @ SV252 )
                | ~ ( is_fun282293932t_bool @ SV471 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ! [SY1287: $i,SY1288: $i] :
                        ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1287 )
                              | ~ ( is_Arr553848933le_alt @ SY1288 ) )
                        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) ) )
                            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) ) ) ) )
                  | ( SV471 = SV252 ) )
              | ~ ( ( SV471 != SV252 )
                  | ! [SY1289: $i,SY1290: $i] :
                      ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1289 )
                            | ~ ( is_Arr553848933le_alt @ SY1290 ) )
                      | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) ) )
                          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1681]) ).

thf(1908,plain,
    ! [SV472: $i,SV253: $i] :
      ( ( ( ~ ( is_fun432044380l_bool @ SV253 ) )
        = $true )
      | ( ( ( hAPP_A1944296755l_bool @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ SV253 ) @ SV472 )
          = SV253 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1682]) ).

thf(1909,plain,
    ! [SV254: $i] :
      ( ( ( is_fun917378774i_bool @ SV254 )
        = $false )
      | ( ( is_fun917378774i_bool @ ( collec45183100e_indi @ SV254 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1683]) ).

thf(1910,plain,
    ! [SV473: $i,SV255: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV255 ) @ SV473 ) ) )
        = $true )
      | ( ( SV473 != SV255 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1684]) ).

thf(1911,plain,
    ! [SV256: $i,SV575: $i,SV474: $i] :
      ( ( ! [SY1378: $i] :
            ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV474 ) @ ( pi_Arr688267935t_bool @ SV575 @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ SY1378 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV256 ) @ SV575 ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV474 @ SV256 ) ) @ SY1378 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1685]) ).

thf(1912,plain,
    ! [SV257: $i,SV576: $i,SV475: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV475 ) @ SV576 ) )
        | ( SV475 != SV257 )
        | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV257 ) @ SV576 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1686]) ).

thf(1913,plain,
    ! [SV258: $i] :
      ( ( ( is_fun631676118l_bool @ SV258 )
        = $false )
      | ( ( is_fun631676118l_bool @ ( collec1520786044t_bool @ SV258 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1687]) ).

thf(1914,plain,
    ! [SV476: $i,SV259: $i] :
      ( ( ( ~ ( is_fun432044380l_bool @ SV259 ) )
        = $true )
      | ( ( ( hAPP_b1965422783l_bool @ ( hAPP_f2135750719l_bool @ cOMBK_971068024l_bool @ SV259 ) @ SV476 )
          = SV259 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1688]) ).

thf(1915,plain,
    ! [SV260: $i,SV577: $i,SV477: $i] :
      ( ( ! [SY1379: $i] :
            ( ~ ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV477 ) @ ( pi_Arr1511953043t_bool @ SV577 @ SY1379 ) ) )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV260 ) @ SV577 ) )
            | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV477 @ SV260 ) ) @ ( hAPP_A1912483895l_bool @ SY1379 @ SV260 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1689]) ).

thf(1916,plain,
    ! [SV261: $i] :
      ( ( ( is_fun631676118l_bool @ SV261 )
        = $false )
      | ( ( ~ ( ~ ( ~ ( ( SV261 != top_to40512653l_bool ) )
                  | ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ SV261 ) @ top_to40512653l_bool ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ SV261 ) @ top_to40512653l_bool ) )
                  | ( SV261 != top_to40512653l_bool ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1690]) ).

thf(1917,plain,
    ! [SV478: $i,SV262: $i] :
      ( ( ( ~ ( is_bool @ SV262 ) )
        = $true )
      | ( ( ( hAPP_f1636546729l_bool @ ( hAPP_b1719629739l_bool @ cOMBK_789167586t_bool @ SV262 ) @ SV478 )
          = SV262 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1691]) ).

thf(1918,plain,
    ! [SV263: $i,SV578: $i,SV479: $i] :
      ( ( ! [SY1380: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV479 ) @ ( pi_boo691944735t_bool @ SV578 @ ( hAPP_f371807573l_bool @ cOMBK_697604314l_bool @ SY1380 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV263 ) @ SV578 ) )
            | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV479 @ SV263 ) ) @ SY1380 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1692]) ).

thf(1919,plain,
    ! [SV264: $i,SV579: $i,SV480: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV480 ) @ SV579 ) )
        | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV264 ) @ SV480 ) )
        | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV264 ) @ SV579 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1693]) ).

thf(1920,plain,
    ! [SV265: $i,SV580: $i,SV481: $i] :
      ( ( ! [SY1381: $i] :
            ( ~ ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV481 ) @ ( pi_fun1727820731l_bool @ SV580 @ SY1381 ) ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV265 ) @ SV580 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV481 @ SV265 ) ) @ ( hAPP_f417299659l_bool @ SY1381 @ SV265 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1694]) ).

thf(1921,plain,
    ! [SV266: $i,SV482: $i] :
      ( ( ( ~ ( is_bool @ SV482 ) )
        = $true )
      | ( ( is_fun959573582l_bool @ ( hAPP_b1719629739l_bool @ SV266 @ SV482 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1695]) ).

thf(1922,plain,
    ! [SV267: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_A1466488369i_bool @ top_to1256827021i_bool @ SV267 ) )
            | ( hBOOL @ top_top_bool ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1696]) ).

thf(1923,plain,
    ! [SV267: $i] :
      ( ( ~ ( ~ ( hBOOL @ top_top_bool )
            | ( hBOOL @ ( hAPP_A1466488369i_bool @ top_to1256827021i_bool @ SV267 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1696]) ).

thf(1924,plain,
    ! [SV268: $i,SV581: $i,SV483: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV483 ) @ SV581 ) )
        | ( SV483 != SV268 )
        | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV268 ) @ SV581 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1697]) ).

thf(1925,plain,
    ! [SV269: $i,SV582: $i,SV484: $i] :
      ( ( ! [SY1382: $i] :
            ( ~ ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV484 ) @ ( pi_Pro437273841e_indi @ SV582 @ ( hAPP_f1970593179i_bool @ cOMBK_100791596le_alt @ SY1382 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV269 ) @ SV582 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV484 @ SV269 ) ) @ SY1382 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1698]) ).

thf(1926,plain,
    ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ p ) ) )
      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1699]) ).

thf(1927,plain,
    ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ p ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1700]) ).

thf(1928,plain,
    ! [SV485: $i,SV270: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV270 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV485 @ top_to1256827021i_bool ) )
          | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ SV485 ) @ ( hAPP_A588601142di_nat @ SV485 @ SV270 ) )
            = SV270 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1701]) ).

thf(1929,plain,
    ! [SV271: $i,SV583: $i,SV486: $i] :
      ( ( ! [SY1383: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV486 ) @ ( pi_boo71521447t_bool @ SV583 @ ( hAPP_f448497509l_bool @ cOMBK_1268833122l_bool @ SY1383 ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV271 ) @ SV583 ) )
            | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV486 @ SV271 ) ) @ SY1383 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1702]) ).

thf(1930,plain,
    ! [SV297: $i,SV50: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV50 ) @ SV297 ) )
        = $true )
      | ( ( SV50 = SV297 )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV297 ) @ SV50 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1703]) ).

thf(1931,plain,
    ! [SV298: $i,SV57: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ fequal_nat @ SV57 ) @ SV298 ) )
        = $false )
      | ( ( SV57 = SV298 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1704]) ).

thf(1932,plain,
    ! [SV73: $i,SV584: $i,SV498: $i,SV314: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV314 ) @ ( pi_boo1877522301le_alt @ SV498 @ SV584 ) ) )
        | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV73 ) @ SV498 ) )
        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV314 @ SV73 ) ) @ ( hAPP_b1024867081t_bool @ SV584 @ SV73 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1716]) ).

thf(1933,plain,
    ! [SV315: $i,SV74: $i] :
      ( ( ( is_fun282293932t_bool @ SV74 )
        = $false )
      | ( ( ( hAPP_f1673487381t_bool @ ( hAPP_f159424297t_bool @ ( hAPP_b1915039793t_bool @ if_fun1419651289t_bool @ fTrue ) @ SV74 ) @ SV315 )
          = SV74 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1717]) ).

thf(1934,plain,
    ! [SV316: $i,SV75: $i] :
      ( ( ( is_bool @ SV75 )
        = $false )
      | ( ( ( hAPP_f785543729l_bool @ ( hAPP_b990649139l_bool @ cOMBK_580911210t_bool @ SV75 ) @ SV316 )
          = SV75 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1718]) ).

thf(1935,plain,
    ! [SV76: $i,SV585: $i,SV499: $i,SV317: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV317 ) @ ( pi_boo71521447t_bool @ SV499 @ SV585 ) ) )
        | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV76 ) @ SV499 ) )
        | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV317 @ SV76 ) ) @ ( hAPP_b990649139l_bool @ SV585 @ SV76 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1719]) ).

thf(1936,plain,
    ! [SV77: $i,SV586: $i,SV500: $i,SV318: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV318 ) @ ( pi_fun1736243859e_indi @ SV500 @ SV586 ) ) )
        | ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV318 @ SV77 ) ) @ ( hAPP_f749892423i_bool @ SV586 @ SV77 ) ) )
        | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV77 ) @ SV500 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1720]) ).

thf(1937,plain,
    ! [SV78: $i,SV319: $i,SV587: $i,SV501: $i] :
      ( ( ! [SY1384: $i,SY1385: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV501 )
                              | ~ ( is_Arr553848933le_alt @ SV587 ) )
                        | ~ ( is_Arr553848933le_alt @ SY1384 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1385 ) )
            | ~ ( ( SY1384 != SY1385 ) )
            | ~ ( ( SV501 != SV587 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY1386: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1386 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1384 @ SY1385 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1386 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1386 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1386 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1384 @ SY1385 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1386 ) ) ) ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1384 @ SY1385 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1384 @ SY1385 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1721]) ).

thf(1938,plain,
    ! [SV79: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P2075002375t_bool @ top_to2034604131t_bool @ SV79 ) )
        | ( hBOOL @ top_top_bool ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1722]) ).

thf(1939,plain,
    ! [SV79: $i] :
      ( ( ~ ( hBOOL @ top_top_bool )
        | ( hBOOL @ ( hAPP_P2075002375t_bool @ top_to2034604131t_bool @ SV79 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1723]) ).

thf(1940,plain,
    ! [SV320: $i,SV80: $i] :
      ( ( ( ~ ( ~ ( is_fun917378774i_bool @ SV80 )
              | ~ ( is_Arr625519182e_indi @ SV320 ) ) )
        = $false )
      | ( ( is_bool @ ( hAPP_A1466488369i_bool @ SV80 @ SV320 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1724]) ).

thf(1941,plain,
    ! [SV81: $i,SV588: $i,SV502: $i,SV321: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV321 ) @ ( pi_fun433100839t_bool @ SV502 @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ SV588 ) ) ) )
        | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV81 ) @ SV502 ) )
        | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV321 @ SV81 ) ) @ SV588 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1725]) ).

thf(1942,plain,
    ! [SV322: $i,SV82: $i] :
      ( ( ( is_fun631676118l_bool @ SV82 )
        = $false )
      | ( ( ( hAPP_b990649139l_bool @ ( hAPP_f448497509l_bool @ cOMBK_1268833122l_bool @ SV82 ) @ SV322 )
          = SV82 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1726]) ).

thf(1943,plain,
    ! [SV323: $i,SV83: $i] :
      ( ( ( is_fun959573582l_bool @ SV83 )
        = $false )
      | ( ( is_fun631676118l_bool @ ( pi_fun433100839t_bool @ SV83 @ SV323 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1727]) ).

thf(1944,plain,
    ! [SV324: $i,SV84: $i] :
      ( ( ( ~ ( ~ ( is_fun432044380l_bool @ SV84 )
              | ~ ( is_fun282293932t_bool @ SV324 ) ) )
        = $false )
      | ( ( is_bool @ ( hAPP_f745298353l_bool @ SV84 @ SV324 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1728]) ).

thf(1945,plain,
    ! [SV85: $i,SV589: $i,SV503: $i,SV325: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV325 ) @ ( pi_fun2075749915e_indi @ SV503 @ ( hAPP_f1677452273i_bool @ cOMBK_1372975190t_bool @ SV589 ) ) ) )
        | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV85 ) @ SV503 ) )
        | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV325 @ SV85 ) ) @ SV589 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1729]) ).

thf(1946,plain,
    ! [SV86: $i,SV590: $i,SV504: $i,SV326: $i] :
      ( ( ~ ( is_Arr625519182e_indi @ SV326 )
        | ~ ( hBOOL @ ( inj_on24934938di_nat @ SV504 @ SV590 ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV326 ) @ SV590 ) )
        | ( ( hAPP_A588601142di_nat @ SV504 @ SV326 )
         != SV86 )
        | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SV590 @ SV504 ) @ SV86 )
          = SV326 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1730]) ).

thf(1947,plain,
    ! [SV505: $i,SV591: $i,SV327: $i,SV87: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV87 )
                    | ~ ( is_Arr553848933le_alt @ SV327 ) )
              | ~ ( is_Arr553848933le_alt @ SV591 ) )
        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
                | ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                          | ~ ( ( SV87 != SV591 )
                              | ( SV87 != SV327 ) ) )
                    | ~ ( ~ ( ( SV87 != SV591 ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                            | ~ ( ( SV87 != SV591 )
                                | ( SV87 != SV327 ) ) )
                      | ~ ( ~ ( ( SV87 != SV591 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1731]) ).

thf(1948,plain,
    ! [SV88: $i,SV328: $i] :
      ( ( ( is_fun631676118l_bool @ SV328 )
        = $false )
      | ( ( is_bool @ ( hAPP_f213304539l_bool @ SV88 @ SV328 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1732]) ).

thf(1949,plain,
    ! [SV89: $i,SV329: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV329 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV329 ) @ SV89 ) ) @ arrow_1239002508le_Lin ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1733]) ).

thf(1950,plain,
    ! [SV330: $i,SV90: $i] :
      ( ( ( is_fun917378774i_bool @ SV90 )
        = $false )
      | ( ( ( hAPP_f749892423i_bool @ ( hAPP_f681113465i_bool @ cOMBK_454107598t_bool @ SV90 ) @ SV330 )
          = SV90 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1734]) ).

thf(1951,plain,
    ! [SV331: $i,SV91: $i,SV506: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV506 ) @ arrow_1239002508le_Lin ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV91 @ SV331 ) ) @ SV506 ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV331 @ SV91 ) ) @ SV506 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1735]) ).

thf(1952,plain,
    ! [SV92: $i,SV592: $i,SV507: $i,SV332: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV332 ) @ ( pi_boo2007389459t_bool @ SV507 @ SV592 ) ) )
        | ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV332 @ SV92 ) ) @ ( hAPP_b1965422783l_bool @ SV592 @ SV92 ) ) )
        | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV92 ) @ SV507 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1736]) ).

thf(1953,plain,
    ! [SV94: $i,SV333: $i] :
      ( ( ( is_fun282293932t_bool @ SV333 )
        = $false )
      | ( ( is_Arr625519182e_indi @ ( hAPP_f1659504677e_indi @ SV94 @ SV333 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1738]) ).

thf(1954,plain,
    ! [SV95: $i,SV508: $i,SV334: $i] :
      ( ( ( SV334 != SV508 )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV508 ) @ SV95 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV334 ) @ SV95 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1739]) ).

thf(1955,plain,
    ! [SV96: $i,SV593: $i,SV509: $i,SV335: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV335 ) @ ( pi_Arr149813489le_alt @ SV509 @ SV593 ) ) )
        | ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV335 @ SV96 ) ) @ ( hAPP_A1374816149t_bool @ SV593 @ SV96 ) ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV96 ) @ SV509 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1740]) ).

thf(1956,plain,
    ! [SV97: $i,SV594: $i,SV510: $i,SV336: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV336 ) @ ( pi_boo71521447t_bool @ SV510 @ SV594 ) ) )
        | ~ ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV336 @ SV97 ) ) @ ( hAPP_b990649139l_bool @ SV594 @ SV97 ) ) )
        | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV97 ) @ SV510 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1741]) ).

thf(1957,plain,
    ! [SV98: $i,SV595: $i,SV511: $i,SV337: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV337 ) @ ( pi_Arr1511953043t_bool @ SV511 @ ( hAPP_f813556705l_bool @ cOMBK_116240846e_indi @ SV595 ) ) ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV98 ) @ SV511 ) )
        | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV337 @ SV98 ) ) @ SV595 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1742]) ).

thf(1958,plain,
    ! [SV99: $i,SV338: $i] :
      ( ( ( is_fun917378774i_bool @ SV338 )
        = $false )
      | ( ( is_bool @ ( hAPP_f919661787l_bool @ SV99 @ SV338 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1743]) ).

thf(1959,plain,
    ! [SV100: $i,SV596: $i,SV512: $i,SV339: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV339 ) @ ( pi_fun2075749915e_indi @ SV512 @ SV596 ) ) )
        | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV100 ) @ SV512 ) )
        | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV339 @ SV100 ) ) @ ( hAPP_f355113919i_bool @ SV596 @ SV100 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1744]) ).

thf(1960,plain,
    ! [SV101: $i,SV597: $i,SV513: $i,SV340: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV340 ) @ ( pi_fun1736243859e_indi @ SV513 @ SV597 ) ) )
        | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV101 ) @ SV513 ) )
        | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV340 @ SV101 ) ) @ ( hAPP_f749892423i_bool @ SV597 @ SV101 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1745]) ).

thf(1961,plain,
    ! [SV102: $i,SV598: $i,SV514: $i,SV341: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV341 ) @ ( pi_Arr149813489le_alt @ SV514 @ SV598 ) ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV102 ) @ SV514 ) )
        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV341 @ SV102 ) ) @ ( hAPP_A1374816149t_bool @ SV598 @ SV102 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1746]) ).

thf(1962,plain,
    ! [SV103: $i,SV342: $i] :
      ( ( ( is_fun959573582l_bool @ SV342 )
        = $false )
      | ( ( is_bool @ ( hAPP_f453661011l_bool @ SV103 @ SV342 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1747]) ).

thf(1963,plain,
    ! [SV104: $i,SV515: $i,SV343: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV343 ) @ SV515 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV515 ) @ SV104 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV343 ) @ SV104 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1748]) ).

thf(1964,plain,
    ! [SV344: $i,SV105: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV105 ) @ SV344 ) )
        = $false )
      | ( ( SV344 != SV105 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1749]) ).

thf(1965,plain,
    ! [SV345: $i,SV106: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV106 ) @ SV345 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV345 ) @ SV106 ) )
                  | ( SV345 = SV106 ) )
              | ~ ( ( SV345 != SV106 )
                  | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV345 ) @ SV106 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1750]) ).

thf(1966,plain,
    ! [SV599: $i,SV516: $i,SV346: $i,SV107: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV107 )
                          | ~ ( is_Arr553848933le_alt @ SV346 ) )
                    | ~ ( is_Arr553848933le_alt @ SV516 ) )
              | ~ ( is_Arr553848933le_alt @ SV599 ) )
        | ( ( produc171383831le_alt @ SV107 @ SV346 )
         != ( produc171383831le_alt @ SV516 @ SV599 ) )
        | ~ ( ( SV107 != SV516 )
            | ( SV346 != SV599 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1751]) ).

thf(1967,plain,
    ! [SV108: $i,SV347: $i] :
      ( ( ( is_Arr625519182e_indi @ SV347 )
        = $false )
      | ( ( is_fun282293932t_bool @ ( hAPP_A1374816149t_bool @ SV108 @ SV347 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1752]) ).

thf(1968,plain,
    ! [SV109: $i,SV600: $i,SV517: $i,SV348: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV348 ) @ ( pi_Arr372473371t_bool @ SV517 @ ( hAPP_f1697527281l_bool @ cOMBK_1292462166e_indi @ SV600 ) ) ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV109 ) @ SV517 ) )
        | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV348 @ SV109 ) ) @ SV600 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1753]) ).

thf(1969,plain,
    ! [SV349: $i,SV110: $i] :
      ( ( ( is_bool @ SV110 )
        = $false )
      | ( ( ( hAPP_P2075002375t_bool @ ( hAPP_b1024867081t_bool @ cOMBK_2069093696le_alt @ SV110 ) @ SV349 )
          = SV110 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1754]) ).

thf(1970,plain,
    ! [SV350: $i,SV111: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV111 ) @ SV350 ) )
            | ( hBOOL @ ( hAPP_A1466488369i_bool @ SV350 @ SV111 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1755]) ).

thf(1971,plain,
    ! [SV111: $i,SV350: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_A1466488369i_bool @ SV350 @ SV111 ) )
            | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV111 ) @ SV350 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1755]) ).

thf(1972,plain,
    ! [SV112: $i,SV601: $i,SV518: $i,SV351: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV351 ) @ ( pi_fun525942951l_bool @ SV518 @ SV601 ) ) )
        | ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV351 @ SV112 ) ) @ ( hAPP_f497468491l_bool @ SV601 @ SV112 ) ) )
        | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV112 ) @ SV518 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1756]) ).

thf(1973,plain,
    ! [SV519: $i,SV602: $i,SV352: $i,SV113: $i] :
      ( ( ! [SY1387: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV113 )
                              | ~ ( is_Arr553848933le_alt @ SV352 ) )
                        | ~ ( is_Arr553848933le_alt @ SV602 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1387 ) )
            | ~ ( ( SV602 != SY1387 ) )
            | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SY1387 ) ) )
                    | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SY1387 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SY1387 ) )
                            | ~ ( ~ ( ( SV352 != SY1387 )
                                    | ( SV113 = SV602 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                                | ~ ( ~ ( ( SV352 != SY1387 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                                | ~ ( ( SV113 != SY1387 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                          | ~ ( ~ ( ( SV113 != SY1387 ) )
                              | ~ ( ~ ( ( SV352 != SY1387 )
                                      | ( SV113 = SV602 )
                                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                                  | ~ ( ~ ( ( SV352 != SY1387 ) )
                                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SY1387 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1757]) ).

thf(1974,plain,
    ! [SV114: $i,SV603: $i,SV520: $i,SV353: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV353 ) @ ( pi_fun972956463e_indi @ SV520 @ SV603 ) ) )
        | ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV353 @ SV114 ) ) @ ( hAPP_f352490559i_bool @ SV603 @ SV114 ) ) )
        | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV114 ) @ SV520 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1758]) ).

thf(1975,plain,
    ! [SV115: $i,SV354: $i] :
      ( ( ( is_bool @ SV354 )
        = $false )
      | ( ( is_bool @ ( hAPP_bool_bool @ SV115 @ SV354 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1759]) ).

thf(1976,plain,
    ! [SV355: $i,SV116: $i] :
      ( ( ( is_fun917378774i_bool @ SV116 )
        = $false )
      | ( ( ( hAPP_f352490559i_bool @ ( hAPP_f1903519657i_bool @ cOMBK_2076140708t_bool @ SV116 ) @ SV355 )
          = SV116 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1760]) ).

thf(1977,plain,
    ! [SV118: $i,SV604: $i,SV521: $i,SV356: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV356 ) @ ( pi_Pro2135156861t_bool @ SV521 @ SV604 ) ) )
        | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV118 ) @ SV521 ) )
        | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV356 @ SV118 ) ) @ ( hAPP_P2127852789l_bool @ SV604 @ SV118 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1762]) ).

thf(1978,plain,
    ! [SV119: $i] :
      ( ( ( ~ ( ~ ( ( SV119 != top_to2034604131t_bool ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ SV119 ) @ top_to2034604131t_bool ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ SV119 ) @ top_to2034604131t_bool ) )
              | ( SV119 != top_to2034604131t_bool ) ) )
        = $false )
      | ( ( is_fun282293932t_bool @ SV119 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1763]) ).

thf(1979,plain,
    ! [SV120: $i,SV357: $i] :
      ( ( ( is_Arr625519182e_indi @ SV357 )
        = $false )
      | ( ( is_fun432044380l_bool @ ( hAPP_A1944296755l_bool @ SV120 @ SV357 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1764]) ).

thf(1980,plain,
    ! [SV358: $i,SV121: $i] :
      ( ( ~ ( ~ ( ( SV121 != SV358 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV121 ) @ SV358 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV358 ) @ SV121 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1765]) ).

thf(1981,plain,
    ! [SV358: $i,SV121: $i] :
      ( ( ~ ( ~ ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV121 ) @ SV358 ) )
                | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV358 ) @ SV121 ) ) )
            | ( SV121 != SV358 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1765]) ).

thf(1982,plain,
    ! [SV122: $i] :
      ( ( ( SV122 = fTrue )
        = $true )
      | ( ( SV122 = fFalse )
        = $true )
      | ( ( is_bool @ SV122 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1766]) ).

thf(1983,plain,
    ! [SV123: $i,SV605: $i,SV522: $i,SV359: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV359 ) @ ( pi_Arr688267935t_bool @ SV522 @ SV605 ) ) )
        | ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV359 @ SV123 ) ) @ ( hAPP_A1944296755l_bool @ SV605 @ SV123 ) ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV123 ) @ SV522 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1767]) ).

thf(1984,plain,
    ! [SV360: $i,SV124: $i] :
      ( ( ( is_fun959573582l_bool @ SV124 )
        = $false )
      | ( ( is_bool @ ( hAPP_f1636546729l_bool @ SV124 @ SV360 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1768]) ).

thf(1985,plain,
    ! [SV125: $i,SV606: $i,SV523: $i,SV361: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV361 ) @ ( pi_fun433100839t_bool @ SV523 @ SV606 ) ) )
        | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV125 ) @ SV523 ) )
        | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV361 @ SV125 ) ) @ ( hAPP_f861484971l_bool @ SV606 @ SV125 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1769]) ).

thf(1986,plain,
    ! [SV126: $i,SV607: $i,SV524: $i,SV362: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV362 ) @ ( pi_fun525942951l_bool @ SV524 @ ( hAPP_f1235573641l_bool @ cOMBK_1072228194t_bool @ SV607 ) ) ) )
        | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV126 ) @ SV524 ) )
        | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV362 @ SV126 ) ) @ SV607 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1770]) ).

thf(1987,plain,
    ! [SV127: $i,SV363: $i,SV608: $i,SV525: $i] :
      ( ( ! [SY1388: $i,SY1389: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV525 )
                              | ~ ( is_Arr553848933le_alt @ SV608 ) )
                        | ~ ( is_Arr553848933le_alt @ SY1388 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1389 ) )
            | ~ ( ( SY1388 != SY1389 ) )
            | ~ ( ( SV525 != SV608 ) )
            | ~ ( ( SY1388 != SV608 ) )
            | ~ ( ( SY1389 != SV525 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY1390: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1390 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1388 @ SY1389 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1390 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1390 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1390 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1388 @ SY1389 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1390 ) ) ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1388 @ SY1389 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1771]) ).

thf(1988,plain,
    ! [SV128: $i,SV609: $i,SV526: $i,SV364: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV364 ) @ ( pi_boo1877522301le_alt @ SV526 @ SV609 ) ) )
        | ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV364 @ SV128 ) ) @ ( hAPP_b1024867081t_bool @ SV609 @ SV128 ) ) )
        | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV128 ) @ SV526 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1772]) ).

thf(1989,plain,
    ! [SV129: $i,SV527: $i,SV365: $i] :
      ( ( ( SV365 != SV527 )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV129 ) @ SV527 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV129 ) @ SV365 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1773]) ).

thf(1990,plain,
    ! [SV130: $i,SV366: $i] :
      ( ( ( is_Arr553848933le_alt @ SV366 )
        = $false )
      | ( ( is_fun282293932t_bool @ ( hAPP_A619995676t_bool @ SV130 @ SV366 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1774]) ).

thf(1991,plain,
    ! [SV367: $i,SV131: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV131 ) @ SV367 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV367 ) @ SV131 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1775]) ).

thf(1992,plain,
    ! [SV132: $i] :
      ( ( ~ ! [SY855: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY855 ) )
        | ! [SY856: $i,SY857: $i] :
            ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY856 )
                  | ~ ( is_Arr553848933le_alt @ SY857 ) )
            | ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ SY856 @ SY857 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1776]) ).

thf(1993,plain,
    ! [SV132: $i] :
      ( ( ~ ! [SY858: $i,SY859: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY858 )
                    | ~ ( is_Arr553848933le_alt @ SY859 ) )
              | ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ SY858 @ SY859 ) ) ) )
        | ! [SY860: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY860 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1777]) ).

thf(1994,plain,
    ! [SV133: $i,SV368: $i,SV610: $i,SV528: $i] :
      ( ( ! [SY1391: $i,SY1392: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV528 )
                              | ~ ( is_Arr553848933le_alt @ SV610 ) )
                        | ~ ( is_Arr553848933le_alt @ SY1391 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1392 ) )
            | ~ ( ( SY1391 != SY1392 ) )
            | ~ ( ( SV528 != SV610 ) )
            | ~ ( ( SY1391 != SV610 ) )
            | ~ ( ( SY1392 != SV528 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY1393: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1393 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1391 @ SY1392 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1393 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1393 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1393 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1391 @ SY1392 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1393 ) ) ) ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1391 @ SY1392 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1391 @ SY1392 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1778]) ).

thf(1995,plain,
    ! [SV369: $i,SV134: $i] :
      ( ( ( is_fun282293932t_bool @ SV134 )
        = $false )
      | ( ( is_fun432044380l_bool @ ( pi_Pro2135156861t_bool @ SV134 @ SV369 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1779]) ).

thf(1996,plain,
    ! [SV370: $i,SV135: $i] :
      ( ( ( is_fun282293932t_bool @ SV135 )
        = $false )
      | ( ( is_bool @ ( hAPP_P2075002375t_bool @ SV135 @ SV370 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1780]) ).

thf(1997,plain,
    ! [SV136: $i,SV529: $i,SV371: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV371 ) @ SV529 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV529 ) @ SV371 ) )
          | ( hBOOL @ SV136 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1781]) ).

thf(1998,plain,
    ! [SV372: $i,SV137: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV137 ) @ SV372 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV372 ) @ SV137 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1782]) ).

thf(1999,plain,
    ! [SV373: $i,SV139: $i] :
      ( ( ( SV139 = SV373 )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ fequal_nat @ SV139 ) @ SV373 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1784]) ).

thf(2000,plain,
    ! [SV140: $i,SV611: $i,SV530: $i,SV374: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV374 ) @ ( pi_fun525942951l_bool @ SV530 @ SV611 ) ) )
        | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV140 ) @ SV530 ) )
        | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV374 @ SV140 ) ) @ ( hAPP_f497468491l_bool @ SV611 @ SV140 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1785]) ).

thf(2001,plain,
    ! [SV375: $i,SV141: $i] :
      ( ( ( is_fun282293932t_bool @ SV141 )
        = $false )
      | ( ( ( hAPP_b1024867081t_bool @ ( hAPP_f1520552209t_bool @ cOMBK_697786936l_bool @ SV141 ) @ SV375 )
          = SV141 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1786]) ).

thf(2002,plain,
    ! [SV376: $i,SV142: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV142 ) @ SV376 ) )
            | ! [SY1198: $i] :
                ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1198 ) @ arrow_413697182e_Prof ) )
                | ( ( hAPP_f695124765t_bool @ SV142 @ SY1198 )
                  = ( hAPP_A1374816149t_bool @ SY1198 @ SV376 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1787]) ).

thf(2003,plain,
    ! [SV376: $i,SV142: $i] :
      ( ( ~ ( ~ ! [SY1199: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1199 ) @ arrow_413697182e_Prof ) )
                  | ( ( hAPP_f695124765t_bool @ SV142 @ SY1199 )
                    = ( hAPP_A1374816149t_bool @ SY1199 @ SV376 ) ) )
            | ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV142 ) @ SV376 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1787]) ).

thf(2004,plain,
    ! [SV143: $i] :
      ( ( ~ ~ ~ ( ~ ( ~ ( hBOOL @ SV143 )
                    | ( hBOOL @ top_top_bool ) )
                | ~ ( ~ ( hBOOL @ top_top_bool )
                    | ( hBOOL @ SV143 ) ) )
        | ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1788]) ).

thf(2005,plain,
    ! [SV143: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        | ~ ~ ( ~ ( ~ ( hBOOL @ SV143 )
                  | ( hBOOL @ top_top_bool ) )
              | ~ ( ~ ( hBOOL @ top_top_bool )
                  | ( hBOOL @ SV143 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1789]) ).

thf(2006,plain,
    ! [SV377: $i,SV144: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV144 ) @ SV377 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV377 ) @ SV144 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1790]) ).

thf(2007,plain,
    ! [SV145: $i,SV612: $i,SV531: $i,SV378: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV378 ) @ ( pi_Arr688267935t_bool @ SV531 @ SV612 ) ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV145 ) @ SV531 ) )
        | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV378 @ SV145 ) ) @ ( hAPP_A1944296755l_bool @ SV612 @ SV145 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1791]) ).

thf(2008,plain,
    ! [SV147: $i,SV613: $i,SV532: $i,SV379: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV379 ) @ ( pi_Arr1511953043t_bool @ SV532 @ SV613 ) ) )
        | ~ ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV379 @ SV147 ) ) @ ( hAPP_A1912483895l_bool @ SV613 @ SV147 ) ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV147 ) @ SV532 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1793]) ).

thf(2009,plain,
    ! [SV380: $i,SV533: $i,SV148: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV148 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV533 @ top_to1256827021i_bool ) )
          | ( ( hAPP_A588601142di_nat @ SV533 @ SV148 )
           != SV380 )
          | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ SV533 ) @ SV380 )
            = SV148 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1794]) ).

thf(2010,plain,
    ! [SV149: $i,SV381: $i] :
      ( ( ( is_fun282293932t_bool @ SV381 )
        = $false )
      | ( ( ( hAPP_f1673487381t_bool @ ( hAPP_f159424297t_bool @ ( hAPP_b1915039793t_bool @ if_fun1419651289t_bool @ fFalse ) @ SV149 ) @ SV381 )
          = SV381 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1795]) ).

thf(2011,plain,
    ! [SV382: $i,SV150: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV150 ) @ SV382 ) ) )
        = $false )
      | ( ( ~ ( ( SV150 != SV382 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV382 ) @ SV150 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1796]) ).

thf(2012,plain,
    ! [SV383: $i,SV151: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV151 ) @ SV383 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV383 ) @ SV151 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1797]) ).

thf(2013,plain,
    ! [SV384: $i,SV152: $i] :
      ( ( ( is_bool @ SV152 )
        = $false )
      | ( ( ( hAPP_f745298353l_bool @ ( hAPP_b1965422783l_bool @ cOMBK_977355664t_bool @ SV152 ) @ SV384 )
          = SV152 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1798]) ).

thf(2014,plain,
    ! [SV153: $i,SV614: $i,SV534: $i,SV385: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV385 ) @ ( pi_Arr372473371t_bool @ SV534 @ SV614 ) ) )
        | ~ ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV385 @ SV153 ) ) @ ( hAPP_A1964572607l_bool @ SV614 @ SV153 ) ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV153 ) @ SV534 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1799]) ).

thf(2015,plain,
    ! [SV154: $i,SV386: $i] :
      ( ( ( is_fun282293932t_bool @ SV386 )
        = $false )
      | ( ( is_fun282293932t_bool @ ( hAPP_f1673487381t_bool @ SV154 @ SV386 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1800]) ).

thf(2016,plain,
    ! [SV155: $i,SV615: $i,SV535: $i,SV387: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV387 ) @ ( pi_fun433100839t_bool @ SV535 @ SV615 ) ) )
        | ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV387 @ SV155 ) ) @ ( hAPP_f861484971l_bool @ SV615 @ SV155 ) ) )
        | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV155 ) @ SV535 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1801]) ).

thf(2017,plain,
    ! [SV388: $i,SV156: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV156 ) @ SV388 ) )
            | ( hBOOL @ ( hAPP_f1636546729l_bool @ SV388 @ SV156 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1802]) ).

thf(2018,plain,
    ! [SV156: $i,SV388: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1636546729l_bool @ SV388 @ SV156 ) )
            | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV156 ) @ SV388 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1802]) ).

thf(2019,plain,
    ! [SV157: $i,SV616: $i,SV536: $i,SV389: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV389 ) @ ( pi_fun1494794527l_bool @ SV536 @ SV616 ) ) )
        | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV157 ) @ SV536 ) )
        | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV389 @ SV157 ) ) @ ( hAPP_f313042899l_bool @ SV616 @ SV157 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1803]) ).

thf(2020,plain,
    ! [SV617: $i,SV537: $i,SV390: $i,SV158: $i] :
      ( ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV158 )
              | ~ ( is_Arr625519182e_indi @ SV390 ) )
        | ~ ( hBOOL @ ( inj_on24934938di_nat @ SV537 @ SV617 ) )
        | ( ( hAPP_A588601142di_nat @ SV537 @ SV158 )
         != ( hAPP_A588601142di_nat @ SV537 @ SV390 ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV158 ) @ SV617 ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV390 ) @ SV617 ) )
        | ( SV158 = SV390 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1804]) ).

thf(2021,plain,
    ! [SV159: $i,SV618: $i,SV538: $i,SV391: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV391 ) @ ( pi_fun972956463e_indi @ SV538 @ ( hAPP_f1903519657i_bool @ cOMBK_2076140708t_bool @ SV618 ) ) ) )
        | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV159 ) @ SV538 ) )
        | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV391 @ SV159 ) ) @ SV618 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1805]) ).

thf(2022,plain,
    ! [SV539: $i,SV392: $i,SV160: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV160 )
                | ~ ( is_Arr625519182e_indi @ SV392 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV539 @ top_to1256827021i_bool ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
                   != ( hAPP_A588601142di_nat @ SV539 @ SV392 ) )
                  | ( SV160 = SV392 ) )
              | ~ ( ( SV160 != SV392 )
                  | ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
                    = ( hAPP_A588601142di_nat @ SV539 @ SV392 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1806]) ).

thf(2023,plain,
    ! [SV393: $i,SV161: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV161 ) @ SV393 ) )
        = $false )
      | ( ( SV161 != SV393 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1807]) ).

thf(2024,plain,
    ! [SV162: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        | ! [SY913: $i] :
            ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY913 ) @ arrow_413697182e_Prof ) )
            | ! [SY914: $i,SY915: $i] :
                ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY914 )
                      | ~ ( is_Arr553848933le_alt @ SY915 ) )
                | ~ ! [SX4: $i] :
                      ( ~ ( is_Arr625519182e_indi @ SX4 )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY914 @ SY915 ) ) @ ( hAPP_A1374816149t_bool @ SY913 @ SX4 ) ) ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY914 @ SY915 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SY913 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1808]) ).

thf(2025,plain,
    ! [SV162: $i] :
      ( ( ~ ! [SY917: $i] :
              ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY917 ) @ arrow_413697182e_Prof ) )
              | ! [SY918: $i,SY919: $i] :
                  ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY918 )
                        | ~ ( is_Arr553848933le_alt @ SY919 ) )
                  | ~ ! [SX4: $i] :
                        ( ~ ( is_Arr625519182e_indi @ SX4 )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY918 @ SY919 ) ) @ ( hAPP_A1374816149t_bool @ SY917 @ SX4 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY918 @ SY919 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SY917 ) ) ) ) )
        | ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1809]) ).

thf(2026,plain,
    ! [SV163: $i,SV540: $i,SV394: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV394 ) @ SV540 ) ) )
        = $true )
      | ( ( ( SV540 != SV163 )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV394 ) @ SV163 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1810]) ).

thf(2027,plain,
    ! [SV395: $i,SV164: $i] :
      ( ( ( is_fun917378774i_bool @ SV164 )
        = $false )
      | ( ( ( hAPP_f355113919i_bool @ ( hAPP_f1677452273i_bool @ cOMBK_1372975190t_bool @ SV164 ) @ SV395 )
          = SV164 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1811]) ).

thf(2028,plain,
    ! [SV396: $i,SV165: $i] :
      ( ( ( is_fun917378774i_bool @ SV165 )
        = $false )
      | ( ( ( hAPP_P907763049i_bool @ ( hAPP_f1970593179i_bool @ cOMBK_100791596le_alt @ SV165 ) @ SV396 )
          = SV165 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1812]) ).

thf(2029,plain,
    ! [SV166: $i,SV541: $i,SV397: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV397 ) @ SV541 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV166 ) @ SV397 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV166 ) @ SV541 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1813]) ).

thf(2030,plain,
    ! [SV398: $i,SV167: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV167 ) @ SV398 ) )
        = $false )
      | ( ( SV167 != SV398 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1814]) ).

thf(2031,plain,
    ! [SV399: $i,SV168: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ SV168 )
              | ~ ( is_Arr553848933le_alt @ SV399 ) ) )
        = $false )
      | ( ( ~ ( ( SV168 != SV399 ) )
          | ~ ! [SY1218: $i] :
                ~ ~ ( ~ ~ ( ~ ( is_fun282293932t_bool @ SY1218 )
                          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY1218 ) @ arrow_1239002508le_Lin ) ) )
                    | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV168 @ SV399 ) ) @ SY1218 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1815]) ).

thf(2032,plain,
    ! [SV169: $i,SV619: $i,SV542: $i,SV400: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV400 ) @ ( pi_Pro437273841e_indi @ SV542 @ SV619 ) ) )
        | ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV400 @ SV169 ) ) @ ( hAPP_P907763049i_bool @ SV619 @ SV169 ) ) )
        | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV169 ) @ SV542 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1816]) ).

thf(2033,plain,
    ! [SV401: $i,SV170: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV170 ) @ SV401 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV401 ) @ SV170 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1817]) ).

thf(2034,plain,
    ! [SV402: $i,SV171: $i] :
      ( ( ( is_fun959573582l_bool @ SV171 )
        = $false )
      | ( ( ( hAPP_A1912483895l_bool @ ( hAPP_f813556705l_bool @ cOMBK_116240846e_indi @ SV171 ) @ SV402 )
          = SV171 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1818]) ).

thf(2035,plain,
    ! [SV172: $i,SV403: $i] :
      ( ( ( is_fun282293932t_bool @ SV403 )
        = $false )
      | ( ( is_fun432044380l_bool @ ( hAPP_f2056167603l_bool @ SV172 @ SV403 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1819]) ).

thf(2036,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV543 )
              | ~ ( is_Arr553848933le_alt @ SV620 ) )
        | ~ ( ( SV543 != SV620 ) )
        | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        | ~ ! [SY1394: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1394 )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) ) ) ) )
        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1820]) ).

thf(2037,plain,
    ! [SV174: $i,SV544: $i,SV405: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV405 ) @ SV544 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV544 ) @ SV174 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV405 ) @ SV174 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1821]) ).

thf(2038,plain,
    ! [SV406: $i,SV175: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV175 ) @ SV406 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV406 ) @ SV175 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1822]) ).

thf(2039,plain,
    ! [SV407: $i,SV176: $i] :
      ( ( ( is_fun917378774i_bool @ SV176 )
        = $false )
      | ( ( is_fun1016509681e_indi @ ( hilber1792103167di_nat @ SV176 @ SV407 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1823]) ).

thf(2040,plain,
    ! [SV177: $i,SV621: $i,SV545: $i,SV408: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV408 ) @ ( pi_boo1877522301le_alt @ SV545 @ ( hAPP_f1520552209t_bool @ cOMBK_697786936l_bool @ SV621 ) ) ) )
        | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV177 ) @ SV545 ) )
        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV408 @ SV177 ) ) @ SV621 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1824]) ).

thf(2041,plain,
    ! [SV409: $i,SV178: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV178 ) @ SV409 ) )
            | ( hBOOL @ ( hAPP_f785543729l_bool @ SV409 @ SV178 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1825]) ).

thf(2042,plain,
    ! [SV178: $i,SV409: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ SV409 @ SV178 ) )
            | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV178 ) @ SV409 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1825]) ).

thf(2043,plain,
    ! [SV179: $i,SV410: $i] :
      ( ( ( is_bool @ SV410 )
        = $false )
      | ( ( is_fun631676118l_bool @ ( hAPP_b990649139l_bool @ SV179 @ SV410 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1826]) ).

thf(2044,plain,
    ! [SV180: $i,SV411: $i] :
      ( ( ( is_Arr625519182e_indi @ SV411 )
        = $false )
      | ( ( is_fun959573582l_bool @ ( hAPP_A1912483895l_bool @ SV180 @ SV411 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1827]) ).

thf(2045,plain,
    ! [SV181: $i,SV622: $i,SV546: $i,SV412: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV412 ) @ ( pi_fun1494794527l_bool @ SV546 @ SV622 ) ) )
        | ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV412 @ SV181 ) ) @ ( hAPP_f313042899l_bool @ SV622 @ SV181 ) ) )
        | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV181 ) @ SV546 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1828]) ).

thf(2046,plain,
    ! [SV413: $i,SV182: $i] :
      ( ( ( is_fun631676118l_bool @ SV182 )
        = $false )
      | ( ( ( hAPP_A1964572607l_bool @ ( hAPP_f1697527281l_bool @ cOMBK_1292462166e_indi @ SV182 ) @ SV413 )
          = SV182 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1829]) ).

thf(2047,plain,
    ! [SV414: $i,SV183: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV183 ) @ SV414 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV414 ) @ SV183 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1830]) ).

thf(2048,plain,
    ! [SV184: $i,SV415: $i] :
      ( ( ( is_fun917378774i_bool @ SV415 )
        = $false )
      | ( ( is_bool @ ( inj_on24934938di_nat @ SV184 @ SV415 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1831]) ).

thf(2049,plain,
    ! [SV186: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1636546729l_bool @ top_to1194196741l_bool @ SV186 ) )
        | ( hBOOL @ top_top_bool ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1833]) ).

thf(2050,plain,
    ! [SV186: $i] :
      ( ( ~ ( hBOOL @ top_top_bool )
        | ( hBOOL @ ( hAPP_f1636546729l_bool @ top_to1194196741l_bool @ SV186 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1834]) ).

thf(2051,plain,
    ! [SV187: $i] :
      ( ( ( SV187 = fTrue )
        = $true )
      | ( ( SV187 = fFalse )
        = $true )
      | ( ( is_bool @ SV187 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1835]) ).

thf(2052,plain,
    ! [SV416: $i,SV188: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV188 ) @ SV416 ) )
            | ( hBOOL @ ( hAPP_P2075002375t_bool @ SV416 @ SV188 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1836]) ).

thf(2053,plain,
    ! [SV188: $i,SV416: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_P2075002375t_bool @ SV416 @ SV188 ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV188 ) @ SV416 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1836]) ).

thf(2054,plain,
    ! [SV547: $i,SV623: $i,SV417: $i,SV189: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV189 )
                    | ~ ( is_Arr553848933le_alt @ SV417 ) )
              | ~ ( is_Arr553848933le_alt @ SV623 ) )
        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
                | ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                          | ~ ( ( SV417 != SV623 )
                              | ( SV189 != SV417 ) ) )
                    | ~ ( ~ ( ( SV417 != SV623 ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                            | ~ ( ( SV417 != SV623 )
                                | ( SV189 != SV417 ) ) )
                      | ~ ( ~ ( ( SV417 != SV623 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1837]) ).

thf(2055,plain,
    ! [SV190: $i,SV624: $i,SV548: $i,SV418: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV418 ) @ ( pi_fun972956463e_indi @ SV548 @ SV624 ) ) )
        | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV190 ) @ SV548 ) )
        | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV418 @ SV190 ) ) @ ( hAPP_f352490559i_bool @ SV624 @ SV190 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1838]) ).

thf(2056,plain,
    ! [SV191: $i,SV419: $i] :
      ( ( ( is_fun282293932t_bool @ SV419 )
        = $false )
      | ( ( is_fun917378774i_bool @ ( hAPP_f352490559i_bool @ SV191 @ SV419 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1839]) ).

thf(2057,plain,
    ! [SV192: $i,SV549: $i,SV420: $i] :
      ( ( ( SV420 != SV549 )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV192 ) @ SV549 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV192 ) @ SV420 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1840]) ).

thf(2058,plain,
    ! [SV625: $i,SV550: $i,SV421: $i,SV193: $i] :
      ( ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV193 )
              | ~ ( is_Arr625519182e_indi @ SV421 ) )
        | ~ ( hBOOL @ ( inj_on24934938di_nat @ SV550 @ SV625 ) )
        | ~ ( ( SV193 != SV421 ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV193 ) @ SV625 ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV421 ) @ SV625 ) )
        | ( ( hAPP_A588601142di_nat @ SV550 @ SV193 )
         != ( hAPP_A588601142di_nat @ SV550 @ SV421 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1841]) ).

thf(2059,plain,
    ! [SV194: $i] :
      ( ( ( ! [SY1395: $i] :
              ( ~ ~ ( ~ ( is_Arr625519182e_indi @ ( sK1_SY969 @ SV194 ) )
                    | ~ ( is_Arr625519182e_indi @ SY1395 ) )
              | ( ( hAPP_A588601142di_nat @ SV194 @ ( sK1_SY969 @ SV194 ) )
               != ( hAPP_A588601142di_nat @ SV194 @ SY1395 ) )
              | ( ( sK1_SY969 @ SV194 )
                = SY1395 ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV194 @ top_to1256827021i_bool ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1842]) ).

thf(2060,plain,
    ! [SV195: $i] :
      ( ( ( ~ ( ~ ( ( SV195 != top_to1194196741l_bool ) )
              | ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ SV195 ) @ top_to1194196741l_bool ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ SV195 ) @ top_to1194196741l_bool ) )
              | ( SV195 != top_to1194196741l_bool ) ) )
        = $false )
      | ( ( is_fun959573582l_bool @ SV195 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1843]) ).

thf(2061,plain,
    ! [SV551: $i,SV422: $i,SV196: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV196 )
                | ~ ( is_Arr553848933le_alt @ SV422 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ( SV196 != SV422 ) )
          | ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) )
                  | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1844]) ).

thf(2062,plain,
    ! [SV626: $i,SV552: $i,SV423: $i,SV197: $i] :
      ( ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV197 )
              | ~ ( is_Arr625519182e_indi @ SV423 ) )
        | ~ ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) )
        | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                 != ( hAPP_A588601142di_nat @ SV552 @ SV197 ) )
                | ( SV423 = SV197 ) )
            | ~ ( ( SV423 != SV197 )
                | ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                  = ( hAPP_A588601142di_nat @ SV552 @ SV197 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1845]) ).

thf(2063,plain,
    ! [SV198: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ top_to2005687013l_bool @ SV198 ) )
        | ( hBOOL @ top_top_bool ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1846]) ).

thf(2064,plain,
    ! [SV198: $i] :
      ( ( ~ ( hBOOL @ top_top_bool )
        | ( hBOOL @ ( hAPP_f745298353l_bool @ top_to2005687013l_bool @ SV198 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1847]) ).

thf(2065,plain,
    ! [SV199: $i,SV627: $i,SV553: $i,SV424: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV424 ) @ ( pi_boo2007389459t_bool @ SV553 @ ( hAPP_f2135750719l_bool @ cOMBK_971068024l_bool @ SV627 ) ) ) )
        | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV199 ) @ SV553 ) )
        | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV424 @ SV199 ) ) @ SV627 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1848]) ).

thf(2066,plain,
    ! [SV200: $i,SV425: $i] :
      ( ( ( is_bool @ SV425 )
        = $false )
      | ( ( is_fun432044380l_bool @ ( hAPP_b1965422783l_bool @ SV200 @ SV425 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1849]) ).

thf(2067,plain,
    ! [SV201: $i,SV628: $i,SV554: $i,SV426: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV426 ) @ ( pi_Arr149813489le_alt @ SV554 @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ SV628 ) ) ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV201 ) @ SV554 ) )
        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV426 @ SV201 ) ) @ SV628 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1850]) ).

thf(2068,plain,
    ! [SV427: $i,SV202: $i] :
      ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV202 ) @ SV427 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV427 ) @ SV202 ) )
            | ( SV202 = SV427 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1851]) ).

thf(2069,plain,
    ! [SV202: $i,SV427: $i] :
      ( ( ~ ( ~ ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV427 ) @ SV202 ) )
                | ( SV202 = SV427 ) )
            | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV202 ) @ SV427 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1851]) ).

thf(2070,plain,
    ! [SV203: $i] :
      ( ( ( ~ ( ~ ( ( SV203 != top_to1256827021i_bool ) )
              | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV203 ) @ top_to1256827021i_bool ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV203 ) @ top_to1256827021i_bool ) )
              | ( SV203 != top_to1256827021i_bool ) ) )
        = $false )
      | ( ( is_fun917378774i_bool @ SV203 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1852]) ).

thf(2071,plain,
    ! [SV204: $i,SV629: $i,SV555: $i,SV428: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV428 ) @ ( pi_fun1494794527l_bool @ SV555 @ ( hAPP_f219827985l_bool @ cOMBK_886533338t_bool @ SV629 ) ) ) )
        | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV204 ) @ SV555 ) )
        | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV428 @ SV204 ) ) @ SV629 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1853]) ).

thf(2072,plain,
    ! [SV429: $i,SV205: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV205 ) @ SV429 ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ SV429 @ SV205 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1854]) ).

thf(2073,plain,
    ! [SV205: $i,SV429: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ SV429 @ SV205 ) )
            | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV205 ) @ SV429 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1854]) ).

thf(2074,plain,
    ! [SV206: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) )
            | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                         != n )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
                    | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                             != n ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1855]) ).

thf(2075,plain,
    ! [SV206: $i] :
      ( ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) ) )
        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1856]) ).

thf(2076,plain,
    ! [SV430: $i,SV207: $i] :
      ( ( ( is_fun631676118l_bool @ SV207 )
        = $false )
      | ( ( is_bool @ ( hAPP_f785543729l_bool @ SV207 @ SV430 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1857]) ).

thf(2077,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
            | ! [SY1245: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1245 )
                | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1245 ) @ SV431 ) )
                | ! [SY1246: $i] :
                    ( ~ ( is_Arr625519182e_indi @ SY1246 )
                    | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1246 ) @ SV431 ) )
                    | ( ( hAPP_A588601142di_nat @ SV208 @ SY1245 )
                     != ( hAPP_A588601142di_nat @ SV208 @ SY1246 ) )
                    | ( SY1245 = SY1246 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1858]) ).

thf(2078,plain,
    ! [SV208: $i,SV431: $i] :
      ( ( ~ ( ~ ! [SY1247: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1247 )
                  | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1247 ) @ SV431 ) )
                  | ! [SY1248: $i] :
                      ( ~ ( is_Arr625519182e_indi @ SY1248 )
                      | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1248 ) @ SV431 ) )
                      | ( ( hAPP_A588601142di_nat @ SV208 @ SY1247 )
                       != ( hAPP_A588601142di_nat @ SV208 @ SY1248 ) )
                      | ( SY1247 = SY1248 ) ) )
            | ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1858]) ).

thf(2079,plain,
    ! [SV209: $i,SV556: $i,SV432: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV432 ) @ SV556 ) ) )
        = $true )
      | ( ( ( SV556 != SV209 )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV432 ) @ SV209 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1859]) ).

thf(2080,plain,
    ! [SV433: $i,SV210: $i] :
      ( ( ( is_fun917378774i_bool @ SV210 )
        = $false )
      | ( ( is_fun959573582l_bool @ ( pi_Arr688267935t_bool @ SV210 @ SV433 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1860]) ).

thf(2081,plain,
    ! [SV211: $i,SV434: $i] :
      ( ( ( is_fun432044380l_bool @ SV434 )
        = $false )
      | ( ( is_bool @ ( hAPP_f503012287l_bool @ SV211 @ SV434 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1861]) ).

thf(2082,plain,
    ! [SV435: $i,SV212: $i] :
      ( ( ( is_fun1016509681e_indi @ SV212 )
        = $false )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV435 @ top_to1256827021i_bool ) )
          | ~ ! [SY1250: $i] :
                ( ( hAPP_A588601142di_nat @ SV435 @ ( hAPP_n385347014e_indi @ SV212 @ SY1250 ) )
                = SY1250 )
          | ( ( hilber1792103167di_nat @ top_to1256827021i_bool @ SV435 )
            = SV212 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1862]) ).

thf(2083,plain,
    ! [SV213: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        | ! [SY1000: $i] :
            ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1000 ) @ arrow_413697182e_Prof ) )
            | ! [SY1001: $i] :
                ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1001 ) @ arrow_413697182e_Prof ) )
                | ! [SY1002: $i,SY1003: $i] :
                    ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1002 )
                          | ~ ( is_Arr553848933le_alt @ SY1003 ) )
                    | ~ ! [SX5: $i] :
                          ( ~ ( is_Arr625519182e_indi @ SX5 )
                          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1000 @ SX5 ) ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1001 @ SX5 ) ) ) )
                              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1001 @ SX5 ) ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1000 @ SX5 ) ) ) ) ) )
                    | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1000 ) ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1001 ) ) ) )
                        | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1001 ) ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1000 ) ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1863]) ).

thf(2084,plain,
    ! [SV213: $i] :
      ( ( ~ ! [SY1005: $i] :
              ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1005 ) @ arrow_413697182e_Prof ) )
              | ! [SY1006: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1006 ) @ arrow_413697182e_Prof ) )
                  | ! [SY1007: $i,SY1008: $i] :
                      ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1007 )
                            | ~ ( is_Arr553848933le_alt @ SY1008 ) )
                      | ~ ! [SX5: $i] :
                            ( ~ ( is_Arr625519182e_indi @ SX5 )
                            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1005 @ SX5 ) ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1006 @ SX5 ) ) ) )
                                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1006 @ SX5 ) ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1005 @ SX5 ) ) ) ) ) )
                      | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1005 ) ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1006 ) ) ) )
                          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1006 ) ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1005 ) ) ) ) ) ) ) )
        | ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1864]) ).

thf(2085,plain,
    ! [SV214: $i,SV557: $i,SV436: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV436 ) @ SV557 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV557 ) @ SV436 ) )
          | ( hBOOL @ SV214 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1865]) ).

thf(2086,plain,
    ! [SV437: $i,SV215: $i] :
      ( ( ( SV215 != SV437 )
        = $false )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV215 ) @ SV437 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV437 ) @ SV215 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1866]) ).

thf(2087,plain,
    ! [SV216: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ top_to40512653l_bool @ SV216 ) )
        | ( hBOOL @ top_top_bool ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1867]) ).

thf(2088,plain,
    ! [SV216: $i] :
      ( ( ~ ( hBOOL @ top_top_bool )
        | ( hBOOL @ ( hAPP_f785543729l_bool @ top_to40512653l_bool @ SV216 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1868]) ).

thf(2089,plain,
    ! [SV438: $i,SV217: $i] :
      ( ( ( is_fun1016509681e_indi @ SV217 )
        = $false )
      | ( ( is_Arr625519182e_indi @ ( hAPP_n385347014e_indi @ SV217 @ SV438 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1869]) ).

thf(2090,plain,
    ! [SV218: $i,SV630: $i,SV558: $i,SV439: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV439 ) @ ( pi_Pro2135156861t_bool @ SV558 @ ( hAPP_f1724001331l_bool @ cOMBK_2008994872le_alt @ SV630 ) ) ) )
        | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV218 ) @ SV558 ) )
        | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV439 @ SV218 ) ) @ SV630 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1870]) ).

thf(2091,plain,
    ! [SV219: $i,SV440: $i] :
      ( ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false )
      | ( ( ~ ! [SY1254: $i] :
                ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1254 ) @ arrow_413697182e_Prof ) )
                | ! [SY1255: $i,SY1256: $i] :
                    ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1255 )
                          | ~ ( is_Arr553848933le_alt @ SY1256 ) )
                    | ~ ( ( SY1255 != SY1256 ) )
                    | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1255 @ SY1256 ) ) @ ( hAPP_A1374816149t_bool @ SY1254 @ SV219 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1255 @ SY1256 ) ) @ ( hAPP_f695124765t_bool @ SV440 @ SY1254 ) ) ) ) )
          | ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1871]) ).

thf(2092,plain,
    ! [SV220: $i,SV631: $i,SV559: $i,SV441: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV441 ) @ ( pi_Pro2135156861t_bool @ SV559 @ SV631 ) ) )
        | ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV441 @ SV220 ) ) @ ( hAPP_P2127852789l_bool @ SV631 @ SV220 ) ) )
        | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV220 ) @ SV559 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1872]) ).

thf(2093,plain,
    ! [SV221: $i,SV560: $i,SV442: $i] :
      ( ( ( SV442 != SV560 )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV560 ) @ SV221 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV442 ) @ SV221 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1873]) ).

thf(2094,plain,
    ! [SV443: $i,SV222: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV222 ) @ SV443 ) )
        = $false )
      | ( ( SV222 != SV443 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1874]) ).

thf(2095,plain,
    ! [SV444: $i,SV223: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV223 ) @ SV444 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV444 ) @ SV223 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1875]) ).

thf(2096,plain,
    ! [SV224: $i,SV632: $i,SV561: $i,SV445: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV445 ) @ ( pi_fun2075749915e_indi @ SV561 @ SV632 ) ) )
        | ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV445 @ SV224 ) ) @ ( hAPP_f355113919i_bool @ SV632 @ SV224 ) ) )
        | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV224 ) @ SV561 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1876]) ).

thf(2097,plain,
    ! [SV562: $i,SV446: $i,SV225: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV225 )
                | ~ ( is_Arr625519182e_indi @ SV446 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV562 @ top_to1256827021i_bool ) )
          | ( ( hAPP_A588601142di_nat @ SV562 @ SV225 )
           != ( hAPP_A588601142di_nat @ SV562 @ SV446 ) )
          | ( SV225 = SV446 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1877]) ).

thf(2098,plain,
    ! [SV226: $i,SV633: $i,SV563: $i,SV447: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV447 ) @ ( pi_boo2007389459t_bool @ SV563 @ SV633 ) ) )
        | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV226 ) @ SV563 ) )
        | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV447 @ SV226 ) ) @ ( hAPP_b1965422783l_bool @ SV633 @ SV226 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1878]) ).

thf(2099,plain,
    ! [SV448: $i,SV227: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV227 ) @ SV448 ) )
            | ( hBOOL @ ( hAPP_bool_bool @ SV448 @ SV227 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1879]) ).

thf(2100,plain,
    ! [SV227: $i,SV448: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_bool_bool @ SV448 @ SV227 ) )
            | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV227 ) @ SV448 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1879]) ).

thf(2101,plain,
    ! [SV634: $i,SV564: $i,SV449: $i,SV228: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV228 )
                          | ~ ( is_Arr553848933le_alt @ SV449 ) )
                    | ~ ( is_Arr553848933le_alt @ SV564 ) )
              | ~ ( is_Arr553848933le_alt @ SV634 ) )
        | ~ ( ~ ( ( ( produc171383831le_alt @ SV228 @ SV449 )
                 != ( produc171383831le_alt @ SV564 @ SV634 ) )
                | ~ ( ( SV228 != SV564 )
                    | ( SV449 != SV634 ) ) )
            | ~ ( ~ ~ ( ( SV228 != SV564 )
                      | ( SV449 != SV634 ) )
                | ( ( produc171383831le_alt @ SV228 @ SV449 )
                  = ( produc171383831le_alt @ SV564 @ SV634 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1880]) ).

thf(2102,plain,
    ! [SV229: $i,SV565: $i,SV450: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV450 )
                | ~ ( is_Arr553848933le_alt @ SV565 ) ) )
        = $true )
      | ( ( ~ ( ( SV450 != SV565 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV229 ) @ arrow_1239002508le_Lin ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV229 ) @ SV450 ) @ SV565 ) ) @ arrow_1239002508le_Lin ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1881]) ).

thf(2103,plain,
    ! [SV230: $i,SV635: $i,SV566: $i,SV451: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV451 ) @ ( pi_boo691944735t_bool @ SV566 @ SV635 ) ) )
        | ~ ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV451 @ SV230 ) ) @ ( hAPP_b1719629739l_bool @ SV635 @ SV230 ) ) )
        | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV230 ) @ SV566 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1882]) ).

thf(2104,plain,
    ! [SV452: $i,SV231: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV231 ) @ SV452 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV452 ) @ SV231 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1883]) ).

thf(2105,plain,
    ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) ) )
      = $true )
    | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBC_437064334t_bool @ ( cOMBC_481590946t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ lab ) @ lba ) ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1884]) ).

thf(2106,plain,
    ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBC_437064334t_bool @ ( cOMBC_481590946t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ lab ) @ lba ) ) ) ) )
      = $true )
    | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1885]) ).

thf(2107,plain,
    ! [SV232: $i,SV636: $i,SV567: $i,SV453: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV453 ) @ ( pi_fun1727820731l_bool @ SV567 @ ( hAPP_f1667233577l_bool @ cOMBK_1015076504t_bool @ SV636 ) ) ) )
        | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV232 ) @ SV567 ) )
        | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV453 @ SV232 ) ) @ SV636 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1886]) ).

thf(2108,plain,
    ! [SV454: $i,SV233: $i] :
      ( ( ( is_fun282293932t_bool @ SV233 )
        = $false )
      | ( ( ( hAPP_A1374816149t_bool @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ SV233 ) @ SV454 )
          = SV233 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1887]) ).

thf(2109,plain,
    ! [SV234: $i,SV455: $i] :
      ( ( ( is_Arr625519182e_indi @ SV455 )
        = $false )
      | ( ( is_fun631676118l_bool @ ( hAPP_A1964572607l_bool @ SV234 @ SV455 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1888]) ).

thf(2110,plain,
    ! [SV235: $i] :
      ( ( ( ~ ( ~ ( ( SV235 != top_to2005687013l_bool ) )
              | ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ SV235 ) @ top_to2005687013l_bool ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ SV235 ) @ top_to2005687013l_bool ) )
              | ( SV235 != top_to2005687013l_bool ) ) )
        = $false )
      | ( ( is_fun432044380l_bool @ SV235 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1889]) ).

thf(2111,plain,
    ! [SV236: $i,SV456: $i,SV637: $i,SV568: $i] :
      ( ( ! [SY1396: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV568 )
                        | ~ ( is_Arr553848933le_alt @ SV637 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1396 ) )
            | ~ ( ( SV637 != SY1396 ) )
            | ~ ( ( SY1396 != SV568 ) )
            | ~ ( ( SV637 != SV568 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY1397: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1397 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SY1396 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1397 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1396 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1397 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1396 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1397 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SY1396 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1397 ) ) ) ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SY1396 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1396 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1396 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SY1396 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1890]) ).

thf(2112,plain,
    ! [SV237: $i,SV457: $i] :
      ( ( ( is_bool @ SV457 )
        = $false )
      | ( ( is_fun917378774i_bool @ ( hAPP_b1018211123i_bool @ SV237 @ SV457 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1891]) ).

thf(2113,plain,
    ! [SV458: $i,SV238: $i] :
      ( ( ( is_bool @ SV238 )
        = $false )
      | ( ( ( hAPP_A1466488369i_bool @ ( hAPP_b1018211123i_bool @ cOMBK_1157044842e_indi @ SV238 ) @ SV458 )
          = SV238 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1892]) ).

thf(2114,plain,
    ! [SV239: $i,SV638: $i,SV569: $i,SV459: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV459 ) @ ( pi_fun1736243859e_indi @ SV569 @ ( hAPP_f681113465i_bool @ cOMBK_454107598t_bool @ SV638 ) ) ) )
        | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV239 ) @ SV569 ) )
        | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV459 @ SV239 ) ) @ SV638 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1893]) ).

thf(2115,plain,
    ! [SV240: $i] :
      ( ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) )
        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
            | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1894]) ).

thf(2116,plain,
    ! [SV240: $i] :
      ( ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
            | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                         != n )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                    | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                             != n ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1895]) ).

thf(2117,plain,
    ! [SV460: $i,SV241: $i] :
      ( ( ( is_fun432044380l_bool @ SV241 )
        = $false )
      | ( ( ( hAPP_f861484971l_bool @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ SV241 ) @ SV460 )
          = SV241 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1896]) ).

thf(2118,plain,
    ! [SV570: $i,SV461: $i,SV242: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV242 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV461 @ SV570 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV242 ) @ SV570 ) )
          | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SV570 @ SV461 ) @ ( hAPP_A588601142di_nat @ SV461 @ SV242 ) )
            = SV242 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1897]) ).

thf(2119,plain,
    ! [SV243: $i,SV639: $i,SV571: $i,SV462: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV462 ) @ ( pi_boo691944735t_bool @ SV571 @ SV639 ) ) )
        | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV243 ) @ SV571 ) )
        | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV462 @ SV243 ) ) @ ( hAPP_b1719629739l_bool @ SV639 @ SV243 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1898]) ).

thf(2120,plain,
    ! [SV463: $i,SV244: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV244 ) @ SV463 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV463 ) @ SV244 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1899]) ).

thf(2121,plain,
    ! [SV245: $i,SV464: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV464 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV464 ) @ SV245 ) ) @ arrow_1239002508le_Lin ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1900]) ).

thf(2122,plain,
    ! [SV465: $i,SV246: $i] :
      ( ( ( is_fun959573582l_bool @ SV246 )
        = $false )
      | ( ( ( hAPP_b1719629739l_bool @ ( hAPP_f371807573l_bool @ cOMBK_697604314l_bool @ SV246 ) @ SV465 )
          = SV246 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1901]) ).

thf(2123,plain,
    ! [SV247: $i,SV640: $i,SV572: $i,SV466: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV466 ) @ ( pi_Pro437273841e_indi @ SV572 @ SV640 ) ) )
        | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV247 ) @ SV572 ) )
        | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV466 @ SV247 ) ) @ ( hAPP_P907763049i_bool @ SV640 @ SV247 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1902]) ).

thf(2124,plain,
    ! [SV248: $i,SV641: $i,SV573: $i,SV467: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV467 ) @ ( pi_Arr372473371t_bool @ SV573 @ SV641 ) ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV248 ) @ SV573 ) )
        | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV467 @ SV248 ) ) @ ( hAPP_A1964572607l_bool @ SV641 @ SV248 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1903]) ).

thf(2125,plain,
    ! [SV249: $i,SV642: $i,SV574: $i,SV468: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV468 ) @ ( pi_fun1727820731l_bool @ SV574 @ SV642 ) ) )
        | ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV468 @ SV249 ) ) @ ( hAPP_f417299659l_bool @ SV642 @ SV249 ) ) )
        | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV249 ) @ SV574 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1904]) ).

thf(2126,plain,
    ! [SV469: $i,SV250: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV250 ) @ SV469 ) )
        = $false )
      | ( ( SV250 != SV469 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1905]) ).

thf(2127,plain,
    ! [SV251: $i,SV470: $i] :
      ( ( ( is_bool @ SV470 )
        = $false )
      | ( ( is_fun282293932t_bool @ ( hAPP_b1024867081t_bool @ SV251 @ SV470 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1906]) ).

thf(2128,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( ~ ( ~ ( is_fun282293932t_bool @ SV252 )
              | ~ ( is_fun282293932t_bool @ SV471 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ! [SY1287: $i,SY1288: $i] :
                        ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1287 )
                              | ~ ( is_Arr553848933le_alt @ SY1288 ) )
                        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) ) )
                            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) ) ) ) )
                  | ( SV471 = SV252 ) )
              | ~ ( ( SV471 != SV252 )
                  | ! [SY1289: $i,SY1290: $i] :
                      ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1289 )
                            | ~ ( is_Arr553848933le_alt @ SY1290 ) )
                      | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) ) )
                          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1907]) ).

thf(2129,plain,
    ! [SV472: $i,SV253: $i] :
      ( ( ( is_fun432044380l_bool @ SV253 )
        = $false )
      | ( ( ( hAPP_A1944296755l_bool @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ SV253 ) @ SV472 )
          = SV253 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1908]) ).

thf(2130,plain,
    ! [SV473: $i,SV255: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV255 ) @ SV473 ) )
        = $false )
      | ( ( SV473 != SV255 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1910]) ).

thf(2131,plain,
    ! [SV256: $i,SV643: $i,SV575: $i,SV474: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV474 ) @ ( pi_Arr688267935t_bool @ SV575 @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ SV643 ) ) ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV256 ) @ SV575 ) )
        | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV474 @ SV256 ) ) @ SV643 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1911]) ).

thf(2132,plain,
    ! [SV257: $i,SV576: $i,SV475: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV475 ) @ SV576 ) ) )
        = $true )
      | ( ( ( SV475 != SV257 )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV257 ) @ SV576 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1912]) ).

thf(2133,plain,
    ! [SV476: $i,SV259: $i] :
      ( ( ( is_fun432044380l_bool @ SV259 )
        = $false )
      | ( ( ( hAPP_b1965422783l_bool @ ( hAPP_f2135750719l_bool @ cOMBK_971068024l_bool @ SV259 ) @ SV476 )
          = SV259 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1914]) ).

thf(2134,plain,
    ! [SV260: $i,SV644: $i,SV577: $i,SV477: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV477 ) @ ( pi_Arr1511953043t_bool @ SV577 @ SV644 ) ) )
        | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV260 ) @ SV577 ) )
        | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV477 @ SV260 ) ) @ ( hAPP_A1912483895l_bool @ SV644 @ SV260 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1915]) ).

thf(2135,plain,
    ! [SV261: $i] :
      ( ( ( ~ ( ~ ( ( SV261 != top_to40512653l_bool ) )
              | ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ SV261 ) @ top_to40512653l_bool ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ SV261 ) @ top_to40512653l_bool ) )
              | ( SV261 != top_to40512653l_bool ) ) )
        = $false )
      | ( ( is_fun631676118l_bool @ SV261 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1916]) ).

thf(2136,plain,
    ! [SV478: $i,SV262: $i] :
      ( ( ( is_bool @ SV262 )
        = $false )
      | ( ( ( hAPP_f1636546729l_bool @ ( hAPP_b1719629739l_bool @ cOMBK_789167586t_bool @ SV262 ) @ SV478 )
          = SV262 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1917]) ).

thf(2137,plain,
    ! [SV263: $i,SV645: $i,SV578: $i,SV479: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV479 ) @ ( pi_boo691944735t_bool @ SV578 @ ( hAPP_f371807573l_bool @ cOMBK_697604314l_bool @ SV645 ) ) ) )
        | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV263 ) @ SV578 ) )
        | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV479 @ SV263 ) ) @ SV645 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1918]) ).

thf(2138,plain,
    ! [SV264: $i,SV579: $i,SV480: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV480 ) @ SV579 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV264 ) @ SV480 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV264 ) @ SV579 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1919]) ).

thf(2139,plain,
    ! [SV265: $i,SV646: $i,SV580: $i,SV481: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV481 ) @ ( pi_fun1727820731l_bool @ SV580 @ SV646 ) ) )
        | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV265 ) @ SV580 ) )
        | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV481 @ SV265 ) ) @ ( hAPP_f417299659l_bool @ SV646 @ SV265 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1920]) ).

thf(2140,plain,
    ! [SV266: $i,SV482: $i] :
      ( ( ( is_bool @ SV482 )
        = $false )
      | ( ( is_fun959573582l_bool @ ( hAPP_b1719629739l_bool @ SV266 @ SV482 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1921]) ).

thf(2141,plain,
    ! [SV267: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_A1466488369i_bool @ top_to1256827021i_bool @ SV267 ) )
        | ( hBOOL @ top_top_bool ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1922]) ).

thf(2142,plain,
    ! [SV267: $i] :
      ( ( ~ ( hBOOL @ top_top_bool )
        | ( hBOOL @ ( hAPP_A1466488369i_bool @ top_to1256827021i_bool @ SV267 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1923]) ).

thf(2143,plain,
    ! [SV268: $i,SV581: $i,SV483: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV483 ) @ SV581 ) ) )
        = $true )
      | ( ( ( SV483 != SV268 )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV268 ) @ SV581 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1924]) ).

thf(2144,plain,
    ! [SV269: $i,SV647: $i,SV582: $i,SV484: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV484 ) @ ( pi_Pro437273841e_indi @ SV582 @ ( hAPP_f1970593179i_bool @ cOMBK_100791596le_alt @ SV647 ) ) ) )
        | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV269 ) @ SV582 ) )
        | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV484 @ SV269 ) ) @ SV647 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1925]) ).

thf(2145,plain,
    ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ p ) ) ) )
      = $true )
    | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1926]) ).

thf(2146,plain,
    ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) ) )
      = $true )
    | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ p ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1927]) ).

thf(2147,plain,
    ! [SV485: $i,SV270: $i] :
      ( ( ( is_Arr625519182e_indi @ SV270 )
        = $false )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV485 @ top_to1256827021i_bool ) )
          | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ SV485 ) @ ( hAPP_A588601142di_nat @ SV485 @ SV270 ) )
            = SV270 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1928]) ).

thf(2148,plain,
    ! [SV271: $i,SV648: $i,SV583: $i,SV486: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV486 ) @ ( pi_boo71521447t_bool @ SV583 @ ( hAPP_f448497509l_bool @ cOMBK_1268833122l_bool @ SV648 ) ) ) )
        | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV271 ) @ SV583 ) )
        | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV486 @ SV271 ) ) @ SV648 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1929]) ).

thf(2149,plain,
    ! [SV73: $i,SV584: $i,SV498: $i,SV314: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV314 ) @ ( pi_boo1877522301le_alt @ SV498 @ SV584 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV73 ) @ SV498 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV314 @ SV73 ) ) @ ( hAPP_b1024867081t_bool @ SV584 @ SV73 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1932]) ).

thf(2150,plain,
    ! [SV76: $i,SV585: $i,SV499: $i,SV317: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV317 ) @ ( pi_boo71521447t_bool @ SV499 @ SV585 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV76 ) @ SV499 ) )
          | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV317 @ SV76 ) ) @ ( hAPP_b990649139l_bool @ SV585 @ SV76 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1935]) ).

thf(2151,plain,
    ! [SV77: $i,SV586: $i,SV500: $i,SV318: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV318 ) @ ( pi_fun1736243859e_indi @ SV500 @ SV586 ) ) ) )
        = $true )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV318 @ SV77 ) ) @ ( hAPP_f749892423i_bool @ SV586 @ SV77 ) ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV77 ) @ SV500 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1936]) ).

thf(2152,plain,
    ! [SV78: $i,SV319: $i,SV649: $i,SV587: $i,SV501: $i] :
      ( ( ! [SY1398: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV501 )
                              | ~ ( is_Arr553848933le_alt @ SV587 ) )
                        | ~ ( is_Arr553848933le_alt @ SV649 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1398 ) )
            | ~ ( ( SV649 != SY1398 ) )
            | ~ ( ( SV501 != SV587 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY1399: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1399 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SY1398 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1399 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1399 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1399 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SY1398 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1399 ) ) ) ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SY1398 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SY1398 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1937]) ).

thf(2153,plain,
    ! [SV79: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P2075002375t_bool @ top_to2034604131t_bool @ SV79 ) ) )
        = $true )
      | ( ( hBOOL @ top_top_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1938]) ).

thf(2154,plain,
    ! [SV79: $i] :
      ( ( ( ~ ( hBOOL @ top_top_bool ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P2075002375t_bool @ top_to2034604131t_bool @ SV79 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1939]) ).

thf(2155,plain,
    ! [SV320: $i,SV80: $i] :
      ( ( ( ~ ( is_fun917378774i_bool @ SV80 )
          | ~ ( is_Arr625519182e_indi @ SV320 ) )
        = $true )
      | ( ( is_bool @ ( hAPP_A1466488369i_bool @ SV80 @ SV320 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1940]) ).

thf(2156,plain,
    ! [SV81: $i,SV588: $i,SV502: $i,SV321: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV321 ) @ ( pi_fun433100839t_bool @ SV502 @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ SV588 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV81 ) @ SV502 ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV321 @ SV81 ) ) @ SV588 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1941]) ).

thf(2157,plain,
    ! [SV324: $i,SV84: $i] :
      ( ( ( ~ ( is_fun432044380l_bool @ SV84 )
          | ~ ( is_fun282293932t_bool @ SV324 ) )
        = $true )
      | ( ( is_bool @ ( hAPP_f745298353l_bool @ SV84 @ SV324 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1944]) ).

thf(2158,plain,
    ! [SV85: $i,SV589: $i,SV503: $i,SV325: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV325 ) @ ( pi_fun2075749915e_indi @ SV503 @ ( hAPP_f1677452273i_bool @ cOMBK_1372975190t_bool @ SV589 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV85 ) @ SV503 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV325 @ SV85 ) ) @ SV589 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1945]) ).

thf(2159,plain,
    ! [SV86: $i,SV590: $i,SV504: $i,SV326: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV326 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV504 @ SV590 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV326 ) @ SV590 ) )
          | ( ( hAPP_A588601142di_nat @ SV504 @ SV326 )
           != SV86 )
          | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SV590 @ SV504 ) @ SV86 )
            = SV326 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1946]) ).

thf(2160,plain,
    ! [SV505: $i,SV591: $i,SV327: $i,SV87: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV87 )
                      | ~ ( is_Arr553848933le_alt @ SV327 ) )
                | ~ ( is_Arr553848933le_alt @ SV591 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                            | ~ ( ( SV87 != SV591 )
                                | ( SV87 != SV327 ) ) )
                      | ~ ( ~ ( ( SV87 != SV591 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                              | ~ ( ( SV87 != SV591 )
                                  | ( SV87 != SV327 ) ) )
                        | ~ ( ~ ( ( SV87 != SV591 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1947]) ).

thf(2161,plain,
    ! [SV331: $i,SV91: $i,SV506: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV506 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV91 @ SV331 ) ) @ SV506 ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV331 @ SV91 ) ) @ SV506 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1951]) ).

thf(2162,plain,
    ! [SV92: $i,SV592: $i,SV507: $i,SV332: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV332 ) @ ( pi_boo2007389459t_bool @ SV507 @ SV592 ) ) ) )
        = $true )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV332 @ SV92 ) ) @ ( hAPP_b1965422783l_bool @ SV592 @ SV92 ) ) )
          | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV92 ) @ SV507 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1952]) ).

thf(2163,plain,
    ! [SV95: $i,SV508: $i,SV334: $i] :
      ( ( ( SV334 = SV508 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV508 ) @ SV95 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV334 ) @ SV95 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1954]) ).

thf(2164,plain,
    ! [SV96: $i,SV593: $i,SV509: $i,SV335: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV335 ) @ ( pi_Arr149813489le_alt @ SV509 @ SV593 ) ) ) )
        = $true )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV335 @ SV96 ) ) @ ( hAPP_A1374816149t_bool @ SV593 @ SV96 ) ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV96 ) @ SV509 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1955]) ).

thf(2165,plain,
    ! [SV97: $i,SV594: $i,SV510: $i,SV336: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV336 ) @ ( pi_boo71521447t_bool @ SV510 @ SV594 ) ) ) )
        = $true )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV336 @ SV97 ) ) @ ( hAPP_b990649139l_bool @ SV594 @ SV97 ) ) )
          | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV97 ) @ SV510 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1956]) ).

thf(2166,plain,
    ! [SV98: $i,SV595: $i,SV511: $i,SV337: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV337 ) @ ( pi_Arr1511953043t_bool @ SV511 @ ( hAPP_f813556705l_bool @ cOMBK_116240846e_indi @ SV595 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV98 ) @ SV511 ) )
          | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV337 @ SV98 ) ) @ SV595 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1957]) ).

thf(2167,plain,
    ! [SV100: $i,SV596: $i,SV512: $i,SV339: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV339 ) @ ( pi_fun2075749915e_indi @ SV512 @ SV596 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV100 ) @ SV512 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV339 @ SV100 ) ) @ ( hAPP_f355113919i_bool @ SV596 @ SV100 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1959]) ).

thf(2168,plain,
    ! [SV101: $i,SV597: $i,SV513: $i,SV340: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV340 ) @ ( pi_fun1736243859e_indi @ SV513 @ SV597 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV101 ) @ SV513 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV340 @ SV101 ) ) @ ( hAPP_f749892423i_bool @ SV597 @ SV101 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1960]) ).

thf(2169,plain,
    ! [SV102: $i,SV598: $i,SV514: $i,SV341: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV341 ) @ ( pi_Arr149813489le_alt @ SV514 @ SV598 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV102 ) @ SV514 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV341 @ SV102 ) ) @ ( hAPP_A1374816149t_bool @ SV598 @ SV102 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1961]) ).

thf(2170,plain,
    ! [SV104: $i,SV515: $i,SV343: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV343 ) @ SV515 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV515 ) @ SV104 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV343 ) @ SV104 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1963]) ).

thf(2171,plain,
    ! [SV105: $i,SV344: $i] :
      ( ( ( SV344 = SV105 )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV105 ) @ SV344 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1964]) ).

thf(2172,plain,
    ! [SV345: $i,SV106: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV106 ) @ SV345 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV345 ) @ SV106 ) )
                  | ( SV345 = SV106 ) )
              | ~ ( ( SV345 != SV106 )
                  | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV345 ) @ SV106 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1965]) ).

thf(2173,plain,
    ! [SV599: $i,SV516: $i,SV346: $i,SV107: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV107 )
                            | ~ ( is_Arr553848933le_alt @ SV346 ) )
                      | ~ ( is_Arr553848933le_alt @ SV516 ) )
                | ~ ( is_Arr553848933le_alt @ SV599 ) ) )
        = $true )
      | ( ( ( ( produc171383831le_alt @ SV107 @ SV346 )
           != ( produc171383831le_alt @ SV516 @ SV599 ) )
          | ~ ( ( SV107 != SV516 )
              | ( SV346 != SV599 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1966]) ).

thf(2174,plain,
    ! [SV109: $i,SV600: $i,SV517: $i,SV348: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV348 ) @ ( pi_Arr372473371t_bool @ SV517 @ ( hAPP_f1697527281l_bool @ cOMBK_1292462166e_indi @ SV600 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV109 ) @ SV517 ) )
          | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV348 @ SV109 ) ) @ SV600 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1968]) ).

thf(2175,plain,
    ! [SV350: $i,SV111: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV111 ) @ SV350 ) )
        | ( hBOOL @ ( hAPP_A1466488369i_bool @ SV350 @ SV111 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1970]) ).

thf(2176,plain,
    ! [SV111: $i,SV350: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_A1466488369i_bool @ SV350 @ SV111 ) )
        | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV111 ) @ SV350 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1971]) ).

thf(2177,plain,
    ! [SV112: $i,SV601: $i,SV518: $i,SV351: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV351 ) @ ( pi_fun525942951l_bool @ SV518 @ SV601 ) ) ) )
        = $true )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV351 @ SV112 ) ) @ ( hAPP_f497468491l_bool @ SV601 @ SV112 ) ) )
          | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV112 ) @ SV518 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1972]) ).

thf(2178,plain,
    ! [SV519: $i,SV650: $i,SV602: $i,SV352: $i,SV113: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV113 )
                          | ~ ( is_Arr553848933le_alt @ SV352 ) )
                    | ~ ( is_Arr553848933le_alt @ SV602 ) )
              | ~ ( is_Arr553848933le_alt @ SV650 ) )
        | ~ ( ( SV602 != SV650 ) )
        | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
                | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                          | ~ ( ( SV113 != SV650 )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                    | ~ ( ~ ( ( SV113 != SV650 ) )
                        | ~ ( ~ ( ( SV352 != SV650 )
                                | ( SV113 = SV602 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                            | ~ ( ~ ( ( SV352 != SV650 ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                            | ~ ( ( SV113 != SV650 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                      | ~ ( ~ ( ( SV113 != SV650 ) )
                          | ~ ( ~ ( ( SV352 != SV650 )
                                  | ( SV113 = SV602 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                              | ~ ( ~ ( ( SV352 != SV650 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1973]) ).

thf(2179,plain,
    ! [SV114: $i,SV603: $i,SV520: $i,SV353: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV353 ) @ ( pi_fun972956463e_indi @ SV520 @ SV603 ) ) ) )
        = $true )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV353 @ SV114 ) ) @ ( hAPP_f352490559i_bool @ SV603 @ SV114 ) ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV114 ) @ SV520 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1974]) ).

thf(2180,plain,
    ! [SV118: $i,SV604: $i,SV521: $i,SV356: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV356 ) @ ( pi_Pro2135156861t_bool @ SV521 @ SV604 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV118 ) @ SV521 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV356 @ SV118 ) ) @ ( hAPP_P2127852789l_bool @ SV604 @ SV118 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1977]) ).

thf(2181,plain,
    ! [SV119: $i] :
      ( ( ( ~ ( ~ ( ( SV119 != top_to2034604131t_bool ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ SV119 ) @ top_to2034604131t_bool ) ) ) )
        = $false )
      | ( ( is_fun282293932t_bool @ SV119 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1978]) ).

thf(2182,plain,
    ! [SV119: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ SV119 ) @ top_to2034604131t_bool ) )
              | ( SV119 != top_to2034604131t_bool ) ) )
        = $false )
      | ( ( is_fun282293932t_bool @ SV119 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1978]) ).

thf(2183,plain,
    ! [SV358: $i,SV121: $i] :
      ( ( ~ ( ( SV121 != SV358 ) )
        | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV121 ) @ SV358 ) )
        | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV358 ) @ SV121 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1980]) ).

thf(2184,plain,
    ! [SV358: $i,SV121: $i] :
      ( ( ~ ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV121 ) @ SV358 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV358 ) @ SV121 ) ) )
        | ( SV121 != SV358 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1981]) ).

thf(2185,plain,
    ! [SV123: $i,SV605: $i,SV522: $i,SV359: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV359 ) @ ( pi_Arr688267935t_bool @ SV522 @ SV605 ) ) ) )
        = $true )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV359 @ SV123 ) ) @ ( hAPP_A1944296755l_bool @ SV605 @ SV123 ) ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV123 ) @ SV522 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1983]) ).

thf(2186,plain,
    ! [SV125: $i,SV606: $i,SV523: $i,SV361: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV361 ) @ ( pi_fun433100839t_bool @ SV523 @ SV606 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV125 ) @ SV523 ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV361 @ SV125 ) ) @ ( hAPP_f861484971l_bool @ SV606 @ SV125 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1985]) ).

thf(2187,plain,
    ! [SV126: $i,SV607: $i,SV524: $i,SV362: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV362 ) @ ( pi_fun525942951l_bool @ SV524 @ ( hAPP_f1235573641l_bool @ cOMBK_1072228194t_bool @ SV607 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV126 ) @ SV524 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV362 @ SV126 ) ) @ SV607 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1986]) ).

thf(2188,plain,
    ! [SV127: $i,SV363: $i,SV651: $i,SV608: $i,SV525: $i] :
      ( ( ! [SY1400: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV525 )
                              | ~ ( is_Arr553848933le_alt @ SV608 ) )
                        | ~ ( is_Arr553848933le_alt @ SV651 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1400 ) )
            | ~ ( ( SV651 != SY1400 ) )
            | ~ ( ( SV525 != SV608 ) )
            | ~ ( ( SV651 != SV608 ) )
            | ~ ( ( SY1400 != SV525 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY1401: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1401 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SY1400 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1401 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1401 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1401 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SY1400 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1401 ) ) ) ) ) )
            | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SY1400 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1987]) ).

thf(2189,plain,
    ! [SV128: $i,SV609: $i,SV526: $i,SV364: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV364 ) @ ( pi_boo1877522301le_alt @ SV526 @ SV609 ) ) ) )
        = $true )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV364 @ SV128 ) ) @ ( hAPP_b1024867081t_bool @ SV609 @ SV128 ) ) )
          | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV128 ) @ SV526 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1988]) ).

thf(2190,plain,
    ! [SV129: $i,SV527: $i,SV365: $i] :
      ( ( ( SV365 = SV527 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV129 ) @ SV527 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV129 ) @ SV365 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1989]) ).

thf(2191,plain,
    ! [SV131: $i,SV367: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV367 ) @ SV131 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV131 ) @ SV367 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1991]) ).

thf(2192,plain,
    ! [SV132: $i] :
      ( ( ( ~ ! [SY855: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY855 ) ) )
        = $true )
      | ( ( ! [SY856: $i,SY857: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY856 )
                    | ~ ( is_Arr553848933le_alt @ SY857 ) )
              | ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ SY856 @ SY857 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1992]) ).

thf(2193,plain,
    ! [SV132: $i] :
      ( ( ( ~ ! [SY858: $i,SY859: $i] :
                ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY858 )
                      | ~ ( is_Arr553848933le_alt @ SY859 ) )
                | ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ SY858 @ SY859 ) ) ) ) )
        = $true )
      | ( ( ! [SY860: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY860 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1993]) ).

thf(2194,plain,
    ! [SV133: $i,SV368: $i,SV652: $i,SV610: $i,SV528: $i] :
      ( ( ! [SY1402: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV528 )
                              | ~ ( is_Arr553848933le_alt @ SV610 ) )
                        | ~ ( is_Arr553848933le_alt @ SV652 ) )
                  | ~ ( is_Arr553848933le_alt @ SY1402 ) )
            | ~ ( ( SV652 != SY1402 ) )
            | ~ ( ( SV528 != SV610 ) )
            | ~ ( ( SV652 != SV610 ) )
            | ~ ( ( SY1402 != SV528 ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
            | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
            | ~ ! [SY1403: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1403 )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SY1402 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1403 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1403 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1403 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SY1402 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1403 ) ) ) ) ) )
            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SY1402 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SY1402 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1994]) ).

thf(2195,plain,
    ! [SV136: $i,SV529: $i,SV371: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV371 ) @ SV529 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV529 ) @ SV371 ) )
          | ( hBOOL @ SV136 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1997]) ).

thf(2196,plain,
    ! [SV137: $i,SV372: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV372 ) @ SV137 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV137 ) @ SV372 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1998]) ).

thf(2197,plain,
    ! [SV140: $i,SV611: $i,SV530: $i,SV374: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV374 ) @ ( pi_fun525942951l_bool @ SV530 @ SV611 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV140 ) @ SV530 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV374 @ SV140 ) ) @ ( hAPP_f497468491l_bool @ SV611 @ SV140 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2000]) ).

thf(2198,plain,
    ! [SV376: $i,SV142: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV142 ) @ SV376 ) )
        | ! [SY1198: $i] :
            ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1198 ) @ arrow_413697182e_Prof ) )
            | ( ( hAPP_f695124765t_bool @ SV142 @ SY1198 )
              = ( hAPP_A1374816149t_bool @ SY1198 @ SV376 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2002]) ).

thf(2199,plain,
    ! [SV376: $i,SV142: $i] :
      ( ( ~ ! [SY1199: $i] :
              ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1199 ) @ arrow_413697182e_Prof ) )
              | ( ( hAPP_f695124765t_bool @ SV142 @ SY1199 )
                = ( hAPP_A1374816149t_bool @ SY1199 @ SV376 ) ) )
        | ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV142 ) @ SV376 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2003]) ).

thf(2200,plain,
    ! [SV143: $i] :
      ( ( ( ~ ~ ~ ( ~ ( ~ ( hBOOL @ SV143 )
                      | ( hBOOL @ top_top_bool ) )
                  | ~ ( ~ ( hBOOL @ top_top_bool )
                      | ( hBOOL @ SV143 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2004]) ).

thf(2201,plain,
    ! [SV143: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) ) )
        = $true )
      | ( ( ~ ~ ( ~ ( ~ ( hBOOL @ SV143 )
                    | ( hBOOL @ top_top_bool ) )
                | ~ ( ~ ( hBOOL @ top_top_bool )
                    | ( hBOOL @ SV143 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2005]) ).

thf(2202,plain,
    ! [SV144: $i,SV377: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV377 ) @ SV144 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV144 ) @ SV377 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2006]) ).

thf(2203,plain,
    ! [SV145: $i,SV612: $i,SV531: $i,SV378: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV378 ) @ ( pi_Arr688267935t_bool @ SV531 @ SV612 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV145 ) @ SV531 ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV378 @ SV145 ) ) @ ( hAPP_A1944296755l_bool @ SV612 @ SV145 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2007]) ).

thf(2204,plain,
    ! [SV147: $i,SV613: $i,SV532: $i,SV379: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV379 ) @ ( pi_Arr1511953043t_bool @ SV532 @ SV613 ) ) ) )
        = $true )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV379 @ SV147 ) ) @ ( hAPP_A1912483895l_bool @ SV613 @ SV147 ) ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV147 ) @ SV532 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2008]) ).

thf(2205,plain,
    ! [SV380: $i,SV533: $i,SV148: $i] :
      ( ( ( is_Arr625519182e_indi @ SV148 )
        = $false )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV533 @ top_to1256827021i_bool ) )
          | ( ( hAPP_A588601142di_nat @ SV533 @ SV148 )
           != SV380 )
          | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ SV533 ) @ SV380 )
            = SV148 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2009]) ).

thf(2206,plain,
    ! [SV382: $i,SV150: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV150 ) @ SV382 ) )
        = $true )
      | ( ( ~ ( ( SV150 != SV382 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV382 ) @ SV150 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2011]) ).

thf(2207,plain,
    ! [SV151: $i,SV383: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV383 ) @ SV151 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV151 ) @ SV383 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2012]) ).

thf(2208,plain,
    ! [SV153: $i,SV614: $i,SV534: $i,SV385: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV385 ) @ ( pi_Arr372473371t_bool @ SV534 @ SV614 ) ) ) )
        = $true )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV385 @ SV153 ) ) @ ( hAPP_A1964572607l_bool @ SV614 @ SV153 ) ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV153 ) @ SV534 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2014]) ).

thf(2209,plain,
    ! [SV155: $i,SV615: $i,SV535: $i,SV387: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV387 ) @ ( pi_fun433100839t_bool @ SV535 @ SV615 ) ) ) )
        = $true )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV387 @ SV155 ) ) @ ( hAPP_f861484971l_bool @ SV615 @ SV155 ) ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV155 ) @ SV535 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2016]) ).

thf(2210,plain,
    ! [SV388: $i,SV156: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV156 ) @ SV388 ) )
        | ( hBOOL @ ( hAPP_f1636546729l_bool @ SV388 @ SV156 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2017]) ).

thf(2211,plain,
    ! [SV156: $i,SV388: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1636546729l_bool @ SV388 @ SV156 ) )
        | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV156 ) @ SV388 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2018]) ).

thf(2212,plain,
    ! [SV157: $i,SV616: $i,SV536: $i,SV389: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV389 ) @ ( pi_fun1494794527l_bool @ SV536 @ SV616 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV157 ) @ SV536 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV389 @ SV157 ) ) @ ( hAPP_f313042899l_bool @ SV616 @ SV157 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2019]) ).

thf(2213,plain,
    ! [SV617: $i,SV537: $i,SV390: $i,SV158: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV158 )
                | ~ ( is_Arr625519182e_indi @ SV390 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV537 @ SV617 ) )
          | ( ( hAPP_A588601142di_nat @ SV537 @ SV158 )
           != ( hAPP_A588601142di_nat @ SV537 @ SV390 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV158 ) @ SV617 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV390 ) @ SV617 ) )
          | ( SV158 = SV390 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2020]) ).

thf(2214,plain,
    ! [SV159: $i,SV618: $i,SV538: $i,SV391: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV391 ) @ ( pi_fun972956463e_indi @ SV538 @ ( hAPP_f1903519657i_bool @ cOMBK_2076140708t_bool @ SV618 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV159 ) @ SV538 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV391 @ SV159 ) ) @ SV618 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2021]) ).

thf(2215,plain,
    ! [SV539: $i,SV392: $i,SV160: $i] :
      ( ( ( ~ ( ~ ( is_Arr625519182e_indi @ SV160 )
              | ~ ( is_Arr625519182e_indi @ SV392 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV539 @ top_to1256827021i_bool ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
                   != ( hAPP_A588601142di_nat @ SV539 @ SV392 ) )
                  | ( SV160 = SV392 ) )
              | ~ ( ( SV160 != SV392 )
                  | ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
                    = ( hAPP_A588601142di_nat @ SV539 @ SV392 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2022]) ).

thf(2216,plain,
    ! [SV393: $i,SV161: $i] :
      ( ( ( SV161 = SV393 )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV161 ) @ SV393 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2023]) ).

thf(2217,plain,
    ! [SV162: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) ) )
        = $true )
      | ( ( ! [SY913: $i] :
              ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY913 ) @ arrow_413697182e_Prof ) )
              | ! [SY914: $i,SY915: $i] :
                  ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY914 )
                        | ~ ( is_Arr553848933le_alt @ SY915 ) )
                  | ~ ! [SX4: $i] :
                        ( ~ ( is_Arr625519182e_indi @ SX4 )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY914 @ SY915 ) ) @ ( hAPP_A1374816149t_bool @ SY913 @ SX4 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY914 @ SY915 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SY913 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2024]) ).

thf(2218,plain,
    ! [SV162: $i] :
      ( ( ( ~ ! [SY917: $i] :
                ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY917 ) @ arrow_413697182e_Prof ) )
                | ! [SY918: $i,SY919: $i] :
                    ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY918 )
                          | ~ ( is_Arr553848933le_alt @ SY919 ) )
                    | ~ ! [SX4: $i] :
                          ( ~ ( is_Arr625519182e_indi @ SX4 )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY918 @ SY919 ) ) @ ( hAPP_A1374816149t_bool @ SY917 @ SX4 ) ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY918 @ SY919 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SY917 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2025]) ).

thf(2219,plain,
    ! [SV163: $i,SV540: $i,SV394: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV394 ) @ SV540 ) )
        = $false )
      | ( ( ( SV540 != SV163 )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV394 ) @ SV163 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2026]) ).

thf(2220,plain,
    ! [SV166: $i,SV541: $i,SV397: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV397 ) @ SV541 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV166 ) @ SV397 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV166 ) @ SV541 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2029]) ).

thf(2221,plain,
    ! [SV398: $i,SV167: $i] :
      ( ( ( SV167 = SV398 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV167 ) @ SV398 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2030]) ).

thf(2222,plain,
    ! [SV399: $i,SV168: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV168 )
          | ~ ( is_Arr553848933le_alt @ SV399 ) )
        = $true )
      | ( ( ~ ( ( SV168 != SV399 ) )
          | ~ ! [SY1218: $i] :
                ~ ~ ( ~ ~ ( ~ ( is_fun282293932t_bool @ SY1218 )
                          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY1218 ) @ arrow_1239002508le_Lin ) ) )
                    | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV168 @ SV399 ) ) @ SY1218 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2031]) ).

thf(2223,plain,
    ! [SV169: $i,SV619: $i,SV542: $i,SV400: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV400 ) @ ( pi_Pro437273841e_indi @ SV542 @ SV619 ) ) ) )
        = $true )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV400 @ SV169 ) ) @ ( hAPP_P907763049i_bool @ SV619 @ SV169 ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV169 ) @ SV542 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2032]) ).

thf(2224,plain,
    ! [SV170: $i,SV401: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV401 ) @ SV170 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV170 ) @ SV401 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2033]) ).

thf(2225,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV543 )
                | ~ ( is_Arr553848933le_alt @ SV620 ) ) )
        = $true )
      | ( ( ~ ( ( SV543 != SV620 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1394: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1394 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2036]) ).

thf(2226,plain,
    ! [SV174: $i,SV544: $i,SV405: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV405 ) @ SV544 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV544 ) @ SV174 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV405 ) @ SV174 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2037]) ).

thf(2227,plain,
    ! [SV175: $i,SV406: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV406 ) @ SV175 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV175 ) @ SV406 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2038]) ).

thf(2228,plain,
    ! [SV177: $i,SV621: $i,SV545: $i,SV408: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV408 ) @ ( pi_boo1877522301le_alt @ SV545 @ ( hAPP_f1520552209t_bool @ cOMBK_697786936l_bool @ SV621 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV177 ) @ SV545 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV408 @ SV177 ) ) @ SV621 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2040]) ).

thf(2229,plain,
    ! [SV409: $i,SV178: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV178 ) @ SV409 ) )
        | ( hBOOL @ ( hAPP_f785543729l_bool @ SV409 @ SV178 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2041]) ).

thf(2230,plain,
    ! [SV178: $i,SV409: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ SV409 @ SV178 ) )
        | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV178 ) @ SV409 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2042]) ).

thf(2231,plain,
    ! [SV181: $i,SV622: $i,SV546: $i,SV412: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV412 ) @ ( pi_fun1494794527l_bool @ SV546 @ SV622 ) ) ) )
        = $true )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV412 @ SV181 ) ) @ ( hAPP_f313042899l_bool @ SV622 @ SV181 ) ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV181 ) @ SV546 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2045]) ).

thf(2232,plain,
    ! [SV183: $i,SV414: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV414 ) @ SV183 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV183 ) @ SV414 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2047]) ).

thf(2233,plain,
    ! [SV186: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1636546729l_bool @ top_to1194196741l_bool @ SV186 ) ) )
        = $true )
      | ( ( hBOOL @ top_top_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2049]) ).

thf(2234,plain,
    ! [SV186: $i] :
      ( ( ( ~ ( hBOOL @ top_top_bool ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1636546729l_bool @ top_to1194196741l_bool @ SV186 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2050]) ).

thf(2235,plain,
    ! [SV416: $i,SV188: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV188 ) @ SV416 ) )
        | ( hBOOL @ ( hAPP_P2075002375t_bool @ SV416 @ SV188 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2052]) ).

thf(2236,plain,
    ! [SV188: $i,SV416: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P2075002375t_bool @ SV416 @ SV188 ) )
        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV188 ) @ SV416 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2053]) ).

thf(2237,plain,
    ! [SV547: $i,SV623: $i,SV417: $i,SV189: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV189 )
                      | ~ ( is_Arr553848933le_alt @ SV417 ) )
                | ~ ( is_Arr553848933le_alt @ SV623 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                            | ~ ( ( SV417 != SV623 )
                                | ( SV189 != SV417 ) ) )
                      | ~ ( ~ ( ( SV417 != SV623 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                              | ~ ( ( SV417 != SV623 )
                                  | ( SV189 != SV417 ) ) )
                        | ~ ( ~ ( ( SV417 != SV623 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2054]) ).

thf(2238,plain,
    ! [SV190: $i,SV624: $i,SV548: $i,SV418: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV418 ) @ ( pi_fun972956463e_indi @ SV548 @ SV624 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV190 ) @ SV548 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV418 @ SV190 ) ) @ ( hAPP_f352490559i_bool @ SV624 @ SV190 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2055]) ).

thf(2239,plain,
    ! [SV192: $i,SV549: $i,SV420: $i] :
      ( ( ( SV420 = SV549 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV192 ) @ SV549 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV192 ) @ SV420 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2057]) ).

thf(2240,plain,
    ! [SV625: $i,SV550: $i,SV421: $i,SV193: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV193 )
                | ~ ( is_Arr625519182e_indi @ SV421 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV550 @ SV625 ) )
          | ~ ( ( SV193 != SV421 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV193 ) @ SV625 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV421 ) @ SV625 ) )
          | ( ( hAPP_A588601142di_nat @ SV550 @ SV193 )
           != ( hAPP_A588601142di_nat @ SV550 @ SV421 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2058]) ).

thf(2241,plain,
    ! [SV194: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr625519182e_indi @ ( sK1_SY969 @ SV194 ) )
                | ~ ( is_Arr625519182e_indi @ ( sK2_SY1395 @ SV194 ) ) )
          | ( ( hAPP_A588601142di_nat @ SV194 @ ( sK1_SY969 @ SV194 ) )
           != ( hAPP_A588601142di_nat @ SV194 @ ( sK2_SY1395 @ SV194 ) ) )
          | ( ( sK1_SY969 @ SV194 )
            = ( sK2_SY1395 @ SV194 ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV194 @ top_to1256827021i_bool ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2059]) ).

thf(2242,plain,
    ! [SV195: $i] :
      ( ( ( ~ ( ~ ( ( SV195 != top_to1194196741l_bool ) )
              | ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ SV195 ) @ top_to1194196741l_bool ) ) ) )
        = $false )
      | ( ( is_fun959573582l_bool @ SV195 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2060]) ).

thf(2243,plain,
    ! [SV195: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ SV195 ) @ top_to1194196741l_bool ) )
              | ( SV195 != top_to1194196741l_bool ) ) )
        = $false )
      | ( ( is_fun959573582l_bool @ SV195 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2060]) ).

thf(2244,plain,
    ! [SV551: $i,SV422: $i,SV196: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ SV196 )
              | ~ ( is_Arr553848933le_alt @ SV422 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ( SV196 != SV422 ) )
          | ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) )
                  | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2061]) ).

thf(2245,plain,
    ! [SV626: $i,SV552: $i,SV423: $i,SV197: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr625519182e_indi @ SV197 )
                | ~ ( is_Arr625519182e_indi @ SV423 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                   != ( hAPP_A588601142di_nat @ SV552 @ SV197 ) )
                  | ( SV423 = SV197 ) )
              | ~ ( ( SV423 != SV197 )
                  | ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                    = ( hAPP_A588601142di_nat @ SV552 @ SV197 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2062]) ).

thf(2246,plain,
    ! [SV198: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ top_to2005687013l_bool @ SV198 ) ) )
        = $true )
      | ( ( hBOOL @ top_top_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2063]) ).

thf(2247,plain,
    ! [SV198: $i] :
      ( ( ( ~ ( hBOOL @ top_top_bool ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ top_to2005687013l_bool @ SV198 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2064]) ).

thf(2248,plain,
    ! [SV199: $i,SV627: $i,SV553: $i,SV424: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV424 ) @ ( pi_boo2007389459t_bool @ SV553 @ ( hAPP_f2135750719l_bool @ cOMBK_971068024l_bool @ SV627 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV199 ) @ SV553 ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV424 @ SV199 ) ) @ SV627 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2065]) ).

thf(2249,plain,
    ! [SV201: $i,SV628: $i,SV554: $i,SV426: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV426 ) @ ( pi_Arr149813489le_alt @ SV554 @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ SV628 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV201 ) @ SV554 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV426 @ SV201 ) ) @ SV628 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2067]) ).

thf(2250,plain,
    ! [SV427: $i,SV202: $i] :
      ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV202 ) @ SV427 ) )
        | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV427 ) @ SV202 ) )
        | ( SV202 = SV427 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2068]) ).

thf(2251,plain,
    ! [SV202: $i,SV427: $i] :
      ( ( ~ ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV427 ) @ SV202 ) )
            | ( SV202 = SV427 ) )
        | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV202 ) @ SV427 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2069]) ).

thf(2252,plain,
    ! [SV203: $i] :
      ( ( ( ~ ( ~ ( ( SV203 != top_to1256827021i_bool ) )
              | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV203 ) @ top_to1256827021i_bool ) ) ) )
        = $false )
      | ( ( is_fun917378774i_bool @ SV203 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2070]) ).

thf(2253,plain,
    ! [SV203: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV203 ) @ top_to1256827021i_bool ) )
              | ( SV203 != top_to1256827021i_bool ) ) )
        = $false )
      | ( ( is_fun917378774i_bool @ SV203 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2070]) ).

thf(2254,plain,
    ! [SV204: $i,SV629: $i,SV555: $i,SV428: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV428 ) @ ( pi_fun1494794527l_bool @ SV555 @ ( hAPP_f219827985l_bool @ cOMBK_886533338t_bool @ SV629 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV204 ) @ SV555 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV428 @ SV204 ) ) @ SV629 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2071]) ).

thf(2255,plain,
    ! [SV429: $i,SV205: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV205 ) @ SV429 ) )
        | ( hBOOL @ ( hAPP_f745298353l_bool @ SV429 @ SV205 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2072]) ).

thf(2256,plain,
    ! [SV205: $i,SV429: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ SV429 @ SV205 ) )
        | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV205 ) @ SV429 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2073]) ).

thf(2257,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2074]) ).

thf(2258,plain,
    ! [SV206: $i] :
      ( ( ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) )
                | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                    | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                             != n )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
                        | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                                 != n ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2075]) ).

thf(2259,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        | ! [SY1245: $i] :
            ( ~ ( is_Arr625519182e_indi @ SY1245 )
            | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1245 ) @ SV431 ) )
            | ! [SY1246: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1246 )
                | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1246 ) @ SV431 ) )
                | ( ( hAPP_A588601142di_nat @ SV208 @ SY1245 )
                 != ( hAPP_A588601142di_nat @ SV208 @ SY1246 ) )
                | ( SY1245 = SY1246 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2077]) ).

thf(2260,plain,
    ! [SV208: $i,SV431: $i] :
      ( ( ~ ! [SY1247: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1247 )
              | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1247 ) @ SV431 ) )
              | ! [SY1248: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1248 )
                  | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1248 ) @ SV431 ) )
                  | ( ( hAPP_A588601142di_nat @ SV208 @ SY1247 )
                   != ( hAPP_A588601142di_nat @ SV208 @ SY1248 ) )
                  | ( SY1247 = SY1248 ) ) )
        | ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2078]) ).

thf(2261,plain,
    ! [SV209: $i,SV556: $i,SV432: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV432 ) @ SV556 ) )
        = $false )
      | ( ( ( SV556 != SV209 )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV432 ) @ SV209 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2079]) ).

thf(2262,plain,
    ! [SV212: $i,SV435: $i] :
      ( ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV435 @ top_to1256827021i_bool ) ) )
        = $true )
      | ( ( ~ ! [SY1250: $i] :
                ( ( hAPP_A588601142di_nat @ SV435 @ ( hAPP_n385347014e_indi @ SV212 @ SY1250 ) )
                = SY1250 )
          | ( ( hilber1792103167di_nat @ top_to1256827021i_bool @ SV435 )
            = SV212 ) )
        = $true )
      | ( ( is_fun1016509681e_indi @ SV212 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2082]) ).

thf(2263,plain,
    ! [SV213: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) ) )
        = $true )
      | ( ( ! [SY1000: $i] :
              ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1000 ) @ arrow_413697182e_Prof ) )
              | ! [SY1001: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1001 ) @ arrow_413697182e_Prof ) )
                  | ! [SY1002: $i,SY1003: $i] :
                      ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1002 )
                            | ~ ( is_Arr553848933le_alt @ SY1003 ) )
                      | ~ ! [SX5: $i] :
                            ( ~ ( is_Arr625519182e_indi @ SX5 )
                            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1000 @ SX5 ) ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1001 @ SX5 ) ) ) )
                                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1001 @ SX5 ) ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1000 @ SX5 ) ) ) ) ) )
                      | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1000 ) ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1001 ) ) ) )
                          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1001 ) ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1000 ) ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2083]) ).

thf(2264,plain,
    ! [SV213: $i] :
      ( ( ( ~ ! [SY1005: $i] :
                ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1005 ) @ arrow_413697182e_Prof ) )
                | ! [SY1006: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1006 ) @ arrow_413697182e_Prof ) )
                    | ! [SY1007: $i,SY1008: $i] :
                        ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1007 )
                              | ~ ( is_Arr553848933le_alt @ SY1008 ) )
                        | ~ ! [SX5: $i] :
                              ( ~ ( is_Arr625519182e_indi @ SX5 )
                              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1005 @ SX5 ) ) )
                                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1006 @ SX5 ) ) ) )
                                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1006 @ SX5 ) ) )
                                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1005 @ SX5 ) ) ) ) ) )
                        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1005 ) ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1006 ) ) ) )
                            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1006 ) ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1005 ) ) ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2084]) ).

thf(2265,plain,
    ! [SV214: $i,SV557: $i,SV436: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV436 ) @ SV557 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV557 ) @ SV436 ) )
          | ( hBOOL @ SV214 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2085]) ).

thf(2266,plain,
    ! [SV437: $i,SV215: $i] :
      ( ( ( SV215 = SV437 )
        = $true )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV215 ) @ SV437 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV437 ) @ SV215 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2086]) ).

thf(2267,plain,
    ! [SV216: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ top_to40512653l_bool @ SV216 ) ) )
        = $true )
      | ( ( hBOOL @ top_top_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2087]) ).

thf(2268,plain,
    ! [SV216: $i] :
      ( ( ( ~ ( hBOOL @ top_top_bool ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ top_to40512653l_bool @ SV216 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2088]) ).

thf(2269,plain,
    ! [SV218: $i,SV630: $i,SV558: $i,SV439: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV439 ) @ ( pi_Pro2135156861t_bool @ SV558 @ ( hAPP_f1724001331l_bool @ cOMBK_2008994872le_alt @ SV630 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV218 ) @ SV558 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV439 @ SV218 ) ) @ SV630 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2090]) ).

thf(2270,plain,
    ! [SV440: $i,SV219: $i] :
      ( ( ( ~ ! [SY1254: $i] :
                ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1254 ) @ arrow_413697182e_Prof ) )
                | ! [SY1255: $i,SY1256: $i] :
                    ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1255 )
                          | ~ ( is_Arr553848933le_alt @ SY1256 ) )
                    | ~ ( ( SY1255 != SY1256 ) )
                    | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1255 @ SY1256 ) ) @ ( hAPP_A1374816149t_bool @ SY1254 @ SV219 ) ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1255 @ SY1256 ) ) @ ( hAPP_f695124765t_bool @ SV440 @ SY1254 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2091]) ).

thf(2271,plain,
    ! [SV220: $i,SV631: $i,SV559: $i,SV441: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV441 ) @ ( pi_Pro2135156861t_bool @ SV559 @ SV631 ) ) ) )
        = $true )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV441 @ SV220 ) ) @ ( hAPP_P2127852789l_bool @ SV631 @ SV220 ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV220 ) @ SV559 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2092]) ).

thf(2272,plain,
    ! [SV221: $i,SV560: $i,SV442: $i] :
      ( ( ( SV442 = SV560 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV560 ) @ SV221 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV442 ) @ SV221 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2093]) ).

thf(2273,plain,
    ! [SV443: $i,SV222: $i] :
      ( ( ( SV222 = SV443 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV222 ) @ SV443 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2094]) ).

thf(2274,plain,
    ! [SV223: $i,SV444: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV444 ) @ SV223 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV223 ) @ SV444 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2095]) ).

thf(2275,plain,
    ! [SV224: $i,SV632: $i,SV561: $i,SV445: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV445 ) @ ( pi_fun2075749915e_indi @ SV561 @ SV632 ) ) ) )
        = $true )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV445 @ SV224 ) ) @ ( hAPP_f355113919i_bool @ SV632 @ SV224 ) ) )
          | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV224 ) @ SV561 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2096]) ).

thf(2276,plain,
    ! [SV562: $i,SV446: $i,SV225: $i] :
      ( ( ( ~ ( ~ ( is_Arr625519182e_indi @ SV225 )
              | ~ ( is_Arr625519182e_indi @ SV446 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV562 @ top_to1256827021i_bool ) )
          | ( ( hAPP_A588601142di_nat @ SV562 @ SV225 )
           != ( hAPP_A588601142di_nat @ SV562 @ SV446 ) )
          | ( SV225 = SV446 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2097]) ).

thf(2277,plain,
    ! [SV226: $i,SV633: $i,SV563: $i,SV447: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV447 ) @ ( pi_boo2007389459t_bool @ SV563 @ SV633 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV226 ) @ SV563 ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV447 @ SV226 ) ) @ ( hAPP_b1965422783l_bool @ SV633 @ SV226 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2098]) ).

thf(2278,plain,
    ! [SV448: $i,SV227: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV227 ) @ SV448 ) )
        | ( hBOOL @ ( hAPP_bool_bool @ SV448 @ SV227 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2099]) ).

thf(2279,plain,
    ! [SV227: $i,SV448: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ SV448 @ SV227 ) )
        | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV227 ) @ SV448 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2100]) ).

thf(2280,plain,
    ! [SV634: $i,SV564: $i,SV449: $i,SV228: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV228 )
                            | ~ ( is_Arr553848933le_alt @ SV449 ) )
                      | ~ ( is_Arr553848933le_alt @ SV564 ) )
                | ~ ( is_Arr553848933le_alt @ SV634 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( produc171383831le_alt @ SV228 @ SV449 )
                   != ( produc171383831le_alt @ SV564 @ SV634 ) )
                  | ~ ( ( SV228 != SV564 )
                      | ( SV449 != SV634 ) ) )
              | ~ ( ~ ~ ( ( SV228 != SV564 )
                        | ( SV449 != SV634 ) )
                  | ( ( produc171383831le_alt @ SV228 @ SV449 )
                    = ( produc171383831le_alt @ SV564 @ SV634 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2101]) ).

thf(2281,plain,
    ! [SV229: $i,SV565: $i,SV450: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ SV450 )
              | ~ ( is_Arr553848933le_alt @ SV565 ) ) )
        = $false )
      | ( ( ~ ( ( SV450 != SV565 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV229 ) @ arrow_1239002508le_Lin ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV229 ) @ SV450 ) @ SV565 ) ) @ arrow_1239002508le_Lin ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2102]) ).

thf(2282,plain,
    ! [SV230: $i,SV635: $i,SV566: $i,SV451: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV451 ) @ ( pi_boo691944735t_bool @ SV566 @ SV635 ) ) ) )
        = $true )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV451 @ SV230 ) ) @ ( hAPP_b1719629739l_bool @ SV635 @ SV230 ) ) )
          | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV230 ) @ SV566 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2103]) ).

thf(2283,plain,
    ! [SV231: $i,SV452: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV452 ) @ SV231 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV231 ) @ SV452 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2104]) ).

thf(2284,plain,
    ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
      = $false )
    | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBC_437064334t_bool @ ( cOMBC_481590946t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ lab ) @ lba ) ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2105]) ).

thf(2285,plain,
    ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBC_437064334t_bool @ ( cOMBC_481590946t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ lab ) @ lba ) ) ) )
      = $false )
    | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2106]) ).

thf(2286,plain,
    ! [SV232: $i,SV636: $i,SV567: $i,SV453: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV453 ) @ ( pi_fun1727820731l_bool @ SV567 @ ( hAPP_f1667233577l_bool @ cOMBK_1015076504t_bool @ SV636 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV232 ) @ SV567 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV453 @ SV232 ) ) @ SV636 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2107]) ).

thf(2287,plain,
    ! [SV235: $i] :
      ( ( ( ~ ( ~ ( ( SV235 != top_to2005687013l_bool ) )
              | ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ SV235 ) @ top_to2005687013l_bool ) ) ) )
        = $false )
      | ( ( is_fun432044380l_bool @ SV235 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2110]) ).

thf(2288,plain,
    ! [SV235: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ SV235 ) @ top_to2005687013l_bool ) )
              | ( SV235 != top_to2005687013l_bool ) ) )
        = $false )
      | ( ( is_fun432044380l_bool @ SV235 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2110]) ).

thf(2289,plain,
    ! [SV236: $i,SV456: $i,SV653: $i,SV637: $i,SV568: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV568 )
                    | ~ ( is_Arr553848933le_alt @ SV637 ) )
              | ~ ( is_Arr553848933le_alt @ SV653 ) )
        | ~ ( ( SV637 != SV653 ) )
        | ~ ( ( SV653 != SV568 ) )
        | ~ ( ( SV637 != SV568 ) )
        | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        | ~ ! [SY1404: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1404 )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2111]) ).

thf(2290,plain,
    ! [SV239: $i,SV638: $i,SV569: $i,SV459: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV459 ) @ ( pi_fun1736243859e_indi @ SV569 @ ( hAPP_f681113465i_bool @ cOMBK_454107598t_bool @ SV638 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV239 ) @ SV569 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV459 @ SV239 ) ) @ SV638 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2114]) ).

thf(2291,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
                | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                    | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                             != n )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                        | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                                 != n ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2115]) ).

thf(2292,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
                | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2116]) ).

thf(2293,plain,
    ! [SV570: $i,SV461: $i,SV242: $i] :
      ( ( ( is_Arr625519182e_indi @ SV242 )
        = $false )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV461 @ SV570 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV242 ) @ SV570 ) )
          | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SV570 @ SV461 ) @ ( hAPP_A588601142di_nat @ SV461 @ SV242 ) )
            = SV242 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2118]) ).

thf(2294,plain,
    ! [SV243: $i,SV639: $i,SV571: $i,SV462: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV462 ) @ ( pi_boo691944735t_bool @ SV571 @ SV639 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV243 ) @ SV571 ) )
          | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV462 @ SV243 ) ) @ ( hAPP_b1719629739l_bool @ SV639 @ SV243 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2119]) ).

thf(2295,plain,
    ! [SV244: $i,SV463: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV463 ) @ SV244 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV244 ) @ SV463 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2120]) ).

thf(2296,plain,
    ! [SV247: $i,SV640: $i,SV572: $i,SV466: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV466 ) @ ( pi_Pro437273841e_indi @ SV572 @ SV640 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV247 ) @ SV572 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV466 @ SV247 ) ) @ ( hAPP_P907763049i_bool @ SV640 @ SV247 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2123]) ).

thf(2297,plain,
    ! [SV248: $i,SV641: $i,SV573: $i,SV467: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV467 ) @ ( pi_Arr372473371t_bool @ SV573 @ SV641 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV248 ) @ SV573 ) )
          | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV467 @ SV248 ) ) @ ( hAPP_A1964572607l_bool @ SV641 @ SV248 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2124]) ).

thf(2298,plain,
    ! [SV249: $i,SV642: $i,SV574: $i,SV468: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV468 ) @ ( pi_fun1727820731l_bool @ SV574 @ SV642 ) ) ) )
        = $true )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV468 @ SV249 ) ) @ ( hAPP_f417299659l_bool @ SV642 @ SV249 ) ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV249 ) @ SV574 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2125]) ).

thf(2299,plain,
    ! [SV469: $i,SV250: $i] :
      ( ( ( SV250 = SV469 )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV250 ) @ SV469 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2126]) ).

thf(2300,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( ~ ( is_fun282293932t_bool @ SV252 )
          | ~ ( is_fun282293932t_bool @ SV471 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ! [SY1287: $i,SY1288: $i] :
                        ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1287 )
                              | ~ ( is_Arr553848933le_alt @ SY1288 ) )
                        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) ) )
                            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) ) ) ) )
                  | ( SV471 = SV252 ) )
              | ~ ( ( SV471 != SV252 )
                  | ! [SY1289: $i,SY1290: $i] :
                      ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1289 )
                            | ~ ( is_Arr553848933le_alt @ SY1290 ) )
                      | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) ) )
                          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2128]) ).

thf(2301,plain,
    ! [SV255: $i,SV473: $i] :
      ( ( ( SV473 = SV255 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV255 ) @ SV473 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2130]) ).

thf(2302,plain,
    ! [SV256: $i,SV643: $i,SV575: $i,SV474: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV474 ) @ ( pi_Arr688267935t_bool @ SV575 @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ SV643 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV256 ) @ SV575 ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV474 @ SV256 ) ) @ SV643 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2131]) ).

thf(2303,plain,
    ! [SV257: $i,SV576: $i,SV475: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV475 ) @ SV576 ) )
        = $false )
      | ( ( ( SV475 != SV257 )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV257 ) @ SV576 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2132]) ).

thf(2304,plain,
    ! [SV260: $i,SV644: $i,SV577: $i,SV477: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV477 ) @ ( pi_Arr1511953043t_bool @ SV577 @ SV644 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV260 ) @ SV577 ) )
          | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV477 @ SV260 ) ) @ ( hAPP_A1912483895l_bool @ SV644 @ SV260 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2134]) ).

thf(2305,plain,
    ! [SV261: $i] :
      ( ( ( ~ ( ~ ( ( SV261 != top_to40512653l_bool ) )
              | ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ SV261 ) @ top_to40512653l_bool ) ) ) )
        = $false )
      | ( ( is_fun631676118l_bool @ SV261 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2135]) ).

thf(2306,plain,
    ! [SV261: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ SV261 ) @ top_to40512653l_bool ) )
              | ( SV261 != top_to40512653l_bool ) ) )
        = $false )
      | ( ( is_fun631676118l_bool @ SV261 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2135]) ).

thf(2307,plain,
    ! [SV263: $i,SV645: $i,SV578: $i,SV479: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV479 ) @ ( pi_boo691944735t_bool @ SV578 @ ( hAPP_f371807573l_bool @ cOMBK_697604314l_bool @ SV645 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV263 ) @ SV578 ) )
          | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV479 @ SV263 ) ) @ SV645 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2137]) ).

thf(2308,plain,
    ! [SV264: $i,SV579: $i,SV480: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV480 ) @ SV579 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV264 ) @ SV480 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV264 ) @ SV579 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2138]) ).

thf(2309,plain,
    ! [SV265: $i,SV646: $i,SV580: $i,SV481: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV481 ) @ ( pi_fun1727820731l_bool @ SV580 @ SV646 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV265 ) @ SV580 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV481 @ SV265 ) ) @ ( hAPP_f417299659l_bool @ SV646 @ SV265 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2139]) ).

thf(2310,plain,
    ! [SV267: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_A1466488369i_bool @ top_to1256827021i_bool @ SV267 ) ) )
        = $true )
      | ( ( hBOOL @ top_top_bool )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2141]) ).

thf(2311,plain,
    ! [SV267: $i] :
      ( ( ( ~ ( hBOOL @ top_top_bool ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ top_to1256827021i_bool @ SV267 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2142]) ).

thf(2312,plain,
    ! [SV268: $i,SV581: $i,SV483: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV483 ) @ SV581 ) )
        = $false )
      | ( ( ( SV483 != SV268 )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV268 ) @ SV581 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2143]) ).

thf(2313,plain,
    ! [SV269: $i,SV647: $i,SV582: $i,SV484: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV484 ) @ ( pi_Pro437273841e_indi @ SV582 @ ( hAPP_f1970593179i_bool @ cOMBK_100791596le_alt @ SV647 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV269 ) @ SV582 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV484 @ SV269 ) ) @ SV647 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2144]) ).

thf(2314,plain,
    ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ p ) ) )
      = $false )
    | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2145]) ).

thf(2315,plain,
    ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_78446834_mktop @ p ) @ e ) ) @ ( cOMBS_867867294t_bool @ ( cOMBS_102864562t_bool @ ( cOMBB_963584201e_indi @ if_fun1419651289t_bool @ ( cOMBC_277798809t_bool @ ( cOMBB_317992461e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBC_493523632t_bool @ ( cOMBB_69933763e_indi @ arrow_812378712_above @ p ) @ c ) @ e ) ) @ ( cOMBC_1778077589t_bool @ ( cOMBB_1292070696e_indi @ arrow_2077223396_mkbot @ p ) @ e ) ) ) ) ) )
      = $false )
    | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_f695124765t_bool @ f @ p ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2146]) ).

thf(2316,plain,
    ! [SV270: $i,SV485: $i] :
      ( ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV485 @ top_to1256827021i_bool ) ) )
        = $true )
      | ( ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ SV485 ) @ ( hAPP_A588601142di_nat @ SV485 @ SV270 ) )
          = SV270 )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV270 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2147]) ).

thf(2317,plain,
    ! [SV271: $i,SV648: $i,SV583: $i,SV486: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV486 ) @ ( pi_boo71521447t_bool @ SV583 @ ( hAPP_f448497509l_bool @ cOMBK_1268833122l_bool @ SV648 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV271 ) @ SV583 ) )
          | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV486 @ SV271 ) ) @ SV648 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2148]) ).

thf(2318,plain,
    ! [SV73: $i,SV584: $i,SV498: $i,SV314: $i] :
      ( ( ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV314 ) @ ( pi_boo1877522301le_alt @ SV498 @ SV584 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV73 ) @ SV498 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV314 @ SV73 ) ) @ ( hAPP_b1024867081t_bool @ SV584 @ SV73 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2149]) ).

thf(2319,plain,
    ! [SV76: $i,SV585: $i,SV499: $i,SV317: $i] :
      ( ( ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV317 ) @ ( pi_boo71521447t_bool @ SV499 @ SV585 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV76 ) @ SV499 ) )
          | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV317 @ SV76 ) ) @ ( hAPP_b990649139l_bool @ SV585 @ SV76 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2150]) ).

thf(2320,plain,
    ! [SV77: $i,SV586: $i,SV500: $i,SV318: $i] :
      ( ( ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV318 ) @ ( pi_fun1736243859e_indi @ SV500 @ SV586 ) ) )
        = $false )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV318 @ SV77 ) ) @ ( hAPP_f749892423i_bool @ SV586 @ SV77 ) ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV77 ) @ SV500 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2151]) ).

thf(2321,plain,
    ! [SV78: $i,SV319: $i,SV654: $i,SV649: $i,SV587: $i,SV501: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV501 )
                          | ~ ( is_Arr553848933le_alt @ SV587 ) )
                    | ~ ( is_Arr553848933le_alt @ SV649 ) )
              | ~ ( is_Arr553848933le_alt @ SV654 ) )
        | ~ ( ( SV649 != SV654 ) )
        | ~ ( ( SV501 != SV587 ) )
        | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        | ~ ! [SY1405: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1405 )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2152]) ).

thf(2322,plain,
    ! [SV79: $i] :
      ( ( ( hBOOL @ ( hAPP_P2075002375t_bool @ top_to2034604131t_bool @ SV79 ) )
        = $false )
      | ( ( hBOOL @ top_top_bool )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2153]) ).

thf(2323,plain,
    ! [SV79: $i] :
      ( ( ( hBOOL @ top_top_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_P2075002375t_bool @ top_to2034604131t_bool @ SV79 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2154]) ).

thf(2324,plain,
    ! [SV320: $i,SV80: $i] :
      ( ( ( ~ ( is_fun917378774i_bool @ SV80 ) )
        = $true )
      | ( ( ~ ( is_Arr625519182e_indi @ SV320 ) )
        = $true )
      | ( ( is_bool @ ( hAPP_A1466488369i_bool @ SV80 @ SV320 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2155]) ).

thf(2325,plain,
    ! [SV81: $i,SV588: $i,SV502: $i,SV321: $i] :
      ( ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV321 ) @ ( pi_fun433100839t_bool @ SV502 @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ SV588 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV81 ) @ SV502 ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV321 @ SV81 ) ) @ SV588 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2156]) ).

thf(2326,plain,
    ! [SV324: $i,SV84: $i] :
      ( ( ( ~ ( is_fun432044380l_bool @ SV84 ) )
        = $true )
      | ( ( ~ ( is_fun282293932t_bool @ SV324 ) )
        = $true )
      | ( ( is_bool @ ( hAPP_f745298353l_bool @ SV84 @ SV324 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2157]) ).

thf(2327,plain,
    ! [SV85: $i,SV589: $i,SV503: $i,SV325: $i] :
      ( ( ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV325 ) @ ( pi_fun2075749915e_indi @ SV503 @ ( hAPP_f1677452273i_bool @ cOMBK_1372975190t_bool @ SV589 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV85 ) @ SV503 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV325 @ SV85 ) ) @ SV589 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2158]) ).

thf(2328,plain,
    ! [SV86: $i,SV590: $i,SV504: $i,SV326: $i] :
      ( ( ( is_Arr625519182e_indi @ SV326 )
        = $false )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV504 @ SV590 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV326 ) @ SV590 ) )
          | ( ( hAPP_A588601142di_nat @ SV504 @ SV326 )
           != SV86 )
          | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SV590 @ SV504 ) @ SV86 )
            = SV326 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2159]) ).

thf(2329,plain,
    ! [SV505: $i,SV591: $i,SV327: $i,SV87: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV87 )
                    | ~ ( is_Arr553848933le_alt @ SV327 ) )
              | ~ ( is_Arr553848933le_alt @ SV591 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                            | ~ ( ( SV87 != SV591 )
                                | ( SV87 != SV327 ) ) )
                      | ~ ( ~ ( ( SV87 != SV591 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                              | ~ ( ( SV87 != SV591 )
                                  | ( SV87 != SV327 ) ) )
                        | ~ ( ~ ( ( SV87 != SV591 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2160]) ).

thf(2330,plain,
    ! [SV506: $i,SV331: $i,SV91: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV91 @ SV331 ) ) @ SV506 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV331 @ SV91 ) ) @ SV506 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV506 ) @ arrow_1239002508le_Lin ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2161]) ).

thf(2331,plain,
    ! [SV92: $i,SV592: $i,SV507: $i,SV332: $i] :
      ( ( ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV332 ) @ ( pi_boo2007389459t_bool @ SV507 @ SV592 ) ) )
        = $false )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV332 @ SV92 ) ) @ ( hAPP_b1965422783l_bool @ SV592 @ SV92 ) ) )
          | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV92 ) @ SV507 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2162]) ).

thf(2332,plain,
    ! [SV334: $i,SV95: $i,SV508: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV508 ) @ SV95 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV334 ) @ SV95 ) )
        = $true )
      | ( ( SV334 = SV508 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2163]) ).

thf(2333,plain,
    ! [SV96: $i,SV593: $i,SV509: $i,SV335: $i] :
      ( ( ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV335 ) @ ( pi_Arr149813489le_alt @ SV509 @ SV593 ) ) )
        = $false )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV335 @ SV96 ) ) @ ( hAPP_A1374816149t_bool @ SV593 @ SV96 ) ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV96 ) @ SV509 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2164]) ).

thf(2334,plain,
    ! [SV97: $i,SV594: $i,SV510: $i,SV336: $i] :
      ( ( ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV336 ) @ ( pi_boo71521447t_bool @ SV510 @ SV594 ) ) )
        = $false )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV336 @ SV97 ) ) @ ( hAPP_b990649139l_bool @ SV594 @ SV97 ) ) )
          | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV97 ) @ SV510 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2165]) ).

thf(2335,plain,
    ! [SV98: $i,SV595: $i,SV511: $i,SV337: $i] :
      ( ( ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV337 ) @ ( pi_Arr1511953043t_bool @ SV511 @ ( hAPP_f813556705l_bool @ cOMBK_116240846e_indi @ SV595 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV98 ) @ SV511 ) )
          | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV337 @ SV98 ) ) @ SV595 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2166]) ).

thf(2336,plain,
    ! [SV100: $i,SV596: $i,SV512: $i,SV339: $i] :
      ( ( ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV339 ) @ ( pi_fun2075749915e_indi @ SV512 @ SV596 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV100 ) @ SV512 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV339 @ SV100 ) ) @ ( hAPP_f355113919i_bool @ SV596 @ SV100 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2167]) ).

thf(2337,plain,
    ! [SV101: $i,SV597: $i,SV513: $i,SV340: $i] :
      ( ( ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV340 ) @ ( pi_fun1736243859e_indi @ SV513 @ SV597 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV101 ) @ SV513 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV340 @ SV101 ) ) @ ( hAPP_f749892423i_bool @ SV597 @ SV101 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2168]) ).

thf(2338,plain,
    ! [SV102: $i,SV598: $i,SV514: $i,SV341: $i] :
      ( ( ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV341 ) @ ( pi_Arr149813489le_alt @ SV514 @ SV598 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV102 ) @ SV514 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV341 @ SV102 ) ) @ ( hAPP_A1374816149t_bool @ SV598 @ SV102 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2169]) ).

thf(2339,plain,
    ! [SV343: $i,SV104: $i,SV515: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV515 ) @ SV104 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV343 ) @ SV104 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV343 ) @ SV515 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2170]) ).

thf(2340,plain,
    ! [SV106: $i,SV345: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV345 ) @ SV106 ) )
              | ( SV345 = SV106 ) )
          | ~ ( ( SV345 != SV106 )
              | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV345 ) @ SV106 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV106 ) @ SV345 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2172]) ).

thf(2341,plain,
    ! [SV599: $i,SV516: $i,SV346: $i,SV107: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV107 )
                          | ~ ( is_Arr553848933le_alt @ SV346 ) )
                    | ~ ( is_Arr553848933le_alt @ SV516 ) )
              | ~ ( is_Arr553848933le_alt @ SV599 ) ) )
        = $false )
      | ( ( ( ( produc171383831le_alt @ SV107 @ SV346 )
           != ( produc171383831le_alt @ SV516 @ SV599 ) )
          | ~ ( ( SV107 != SV516 )
              | ( SV346 != SV599 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2173]) ).

thf(2342,plain,
    ! [SV109: $i,SV600: $i,SV517: $i,SV348: $i] :
      ( ( ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV348 ) @ ( pi_Arr372473371t_bool @ SV517 @ ( hAPP_f1697527281l_bool @ cOMBK_1292462166e_indi @ SV600 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV109 ) @ SV517 ) )
          | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV348 @ SV109 ) ) @ SV600 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2174]) ).

thf(2343,plain,
    ! [SV350: $i,SV111: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV111 ) @ SV350 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ SV350 @ SV111 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2175]) ).

thf(2344,plain,
    ! [SV111: $i,SV350: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_A1466488369i_bool @ SV350 @ SV111 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV111 ) @ SV350 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2176]) ).

thf(2345,plain,
    ! [SV112: $i,SV601: $i,SV518: $i,SV351: $i] :
      ( ( ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV351 ) @ ( pi_fun525942951l_bool @ SV518 @ SV601 ) ) )
        = $false )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV351 @ SV112 ) ) @ ( hAPP_f497468491l_bool @ SV601 @ SV112 ) ) )
          | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV112 ) @ SV518 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2177]) ).

thf(2346,plain,
    ! [SV519: $i,SV650: $i,SV602: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV113 )
                            | ~ ( is_Arr553848933le_alt @ SV352 ) )
                      | ~ ( is_Arr553848933le_alt @ SV602 ) )
                | ~ ( is_Arr553848933le_alt @ SV650 ) ) )
        = $true )
      | ( ( ~ ( ( SV602 != SV650 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                            | ~ ( ( SV113 != SV650 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                      | ~ ( ~ ( ( SV113 != SV650 ) )
                          | ~ ( ~ ( ( SV352 != SV650 )
                                  | ( SV113 = SV602 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                              | ~ ( ~ ( ( SV352 != SV650 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SV650 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SV650 ) )
                            | ~ ( ~ ( ( SV352 != SV650 )
                                    | ( SV113 = SV602 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                                | ~ ( ~ ( ( SV352 != SV650 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2178]) ).

thf(2347,plain,
    ! [SV114: $i,SV603: $i,SV520: $i,SV353: $i] :
      ( ( ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV353 ) @ ( pi_fun972956463e_indi @ SV520 @ SV603 ) ) )
        = $false )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV353 @ SV114 ) ) @ ( hAPP_f352490559i_bool @ SV603 @ SV114 ) ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV114 ) @ SV520 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2179]) ).

thf(2348,plain,
    ! [SV118: $i,SV604: $i,SV521: $i,SV356: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV356 ) @ ( pi_Pro2135156861t_bool @ SV521 @ SV604 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV118 ) @ SV521 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV356 @ SV118 ) ) @ ( hAPP_P2127852789l_bool @ SV604 @ SV118 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2180]) ).

thf(2349,plain,
    ! [SV119: $i] :
      ( ( ( ~ ( ( SV119 != top_to2034604131t_bool ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ SV119 ) @ top_to2034604131t_bool ) ) )
        = $true )
      | ( ( is_fun282293932t_bool @ SV119 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2181]) ).

thf(2350,plain,
    ! [SV119: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ SV119 ) @ top_to2034604131t_bool ) )
          | ( SV119 != top_to2034604131t_bool ) )
        = $true )
      | ( ( is_fun282293932t_bool @ SV119 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2182]) ).

thf(2351,plain,
    ! [SV358: $i,SV121: $i] :
      ( ( ( ~ ( ( SV121 != SV358 ) ) )
        = $true )
      | ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV121 ) @ SV358 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV358 ) @ SV121 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2183]) ).

thf(2352,plain,
    ! [SV358: $i,SV121: $i] :
      ( ( ( ~ ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV121 ) @ SV358 ) )
              | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV358 ) @ SV121 ) ) ) )
        = $true )
      | ( ( SV121 != SV358 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2184]) ).

thf(2353,plain,
    ! [SV123: $i,SV605: $i,SV522: $i,SV359: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV359 ) @ ( pi_Arr688267935t_bool @ SV522 @ SV605 ) ) )
        = $false )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV359 @ SV123 ) ) @ ( hAPP_A1944296755l_bool @ SV605 @ SV123 ) ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV123 ) @ SV522 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2185]) ).

thf(2354,plain,
    ! [SV125: $i,SV606: $i,SV523: $i,SV361: $i] :
      ( ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV361 ) @ ( pi_fun433100839t_bool @ SV523 @ SV606 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV125 ) @ SV523 ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV361 @ SV125 ) ) @ ( hAPP_f861484971l_bool @ SV606 @ SV125 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2186]) ).

thf(2355,plain,
    ! [SV126: $i,SV607: $i,SV524: $i,SV362: $i] :
      ( ( ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV362 ) @ ( pi_fun525942951l_bool @ SV524 @ ( hAPP_f1235573641l_bool @ cOMBK_1072228194t_bool @ SV607 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV126 ) @ SV524 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV362 @ SV126 ) ) @ SV607 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2187]) ).

thf(2356,plain,
    ! [SV127: $i,SV363: $i,SV655: $i,SV651: $i,SV608: $i,SV525: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV525 )
                          | ~ ( is_Arr553848933le_alt @ SV608 ) )
                    | ~ ( is_Arr553848933le_alt @ SV651 ) )
              | ~ ( is_Arr553848933le_alt @ SV655 ) )
        | ~ ( ( SV651 != SV655 ) )
        | ~ ( ( SV525 != SV608 ) )
        | ~ ( ( SV651 != SV608 ) )
        | ~ ( ( SV655 != SV525 ) )
        | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        | ~ ! [SY1406: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1406 )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
        | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2188]) ).

thf(2357,plain,
    ! [SV128: $i,SV609: $i,SV526: $i,SV364: $i] :
      ( ( ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV364 ) @ ( pi_boo1877522301le_alt @ SV526 @ SV609 ) ) )
        = $false )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV364 @ SV128 ) ) @ ( hAPP_b1024867081t_bool @ SV609 @ SV128 ) ) )
          | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV128 ) @ SV526 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2189]) ).

thf(2358,plain,
    ! [SV365: $i,SV527: $i,SV129: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV129 ) @ SV527 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV129 ) @ SV365 ) )
        = $true )
      | ( ( SV365 = SV527 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2190]) ).

thf(2359,plain,
    ! [SV132: $i] :
      ( ( ( ! [SY855: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY855 ) ) )
        = $false )
      | ( ( ! [SY856: $i,SY857: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY856 )
                    | ~ ( is_Arr553848933le_alt @ SY857 ) )
              | ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ SY856 @ SY857 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2192]) ).

thf(2360,plain,
    ! [SV132: $i] :
      ( ( ( ! [SY858: $i,SY859: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY858 )
                    | ~ ( is_Arr553848933le_alt @ SY859 ) )
              | ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ SY858 @ SY859 ) ) ) ) )
        = $false )
      | ( ( ! [SY860: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY860 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2193]) ).

thf(2361,plain,
    ! [SV133: $i,SV368: $i,SV656: $i,SV652: $i,SV610: $i,SV528: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV528 )
                          | ~ ( is_Arr553848933le_alt @ SV610 ) )
                    | ~ ( is_Arr553848933le_alt @ SV652 ) )
              | ~ ( is_Arr553848933le_alt @ SV656 ) )
        | ~ ( ( SV652 != SV656 ) )
        | ~ ( ( SV528 != SV610 ) )
        | ~ ( ( SV652 != SV610 ) )
        | ~ ( ( SV656 != SV528 ) )
        | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        | ~ ! [SY1407: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1407 )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2194]) ).

thf(2362,plain,
    ! [SV136: $i,SV371: $i,SV529: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV529 ) @ SV371 ) ) )
        = $true )
      | ( ( hBOOL @ SV136 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV371 ) @ SV529 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2195]) ).

thf(2363,plain,
    ! [SV140: $i,SV611: $i,SV530: $i,SV374: $i] :
      ( ( ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV374 ) @ ( pi_fun525942951l_bool @ SV530 @ SV611 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV140 ) @ SV530 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV374 @ SV140 ) ) @ ( hAPP_f497468491l_bool @ SV611 @ SV140 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2197]) ).

thf(2364,plain,
    ! [SV376: $i,SV142: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV142 ) @ SV376 ) ) )
        = $true )
      | ( ( ! [SY1198: $i] :
              ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1198 ) @ arrow_413697182e_Prof ) )
              | ( ( hAPP_f695124765t_bool @ SV142 @ SY1198 )
                = ( hAPP_A1374816149t_bool @ SY1198 @ SV376 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2198]) ).

thf(2365,plain,
    ! [SV376: $i,SV142: $i] :
      ( ( ( ~ ! [SY1199: $i] :
                ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1199 ) @ arrow_413697182e_Prof ) )
                | ( ( hAPP_f695124765t_bool @ SV142 @ SY1199 )
                  = ( hAPP_A1374816149t_bool @ SY1199 @ SV376 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV142 ) @ SV376 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2199]) ).

thf(2366,plain,
    ! [SV143: $i] :
      ( ( ( ~ ~ ( ~ ( ~ ( hBOOL @ SV143 )
                    | ( hBOOL @ top_top_bool ) )
                | ~ ( ~ ( hBOOL @ top_top_bool )
                    | ( hBOOL @ SV143 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2200]) ).

thf(2367,plain,
    ! [SV143: $i] :
      ( ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $false )
      | ( ( ~ ~ ( ~ ( ~ ( hBOOL @ SV143 )
                    | ( hBOOL @ top_top_bool ) )
                | ~ ( ~ ( hBOOL @ top_top_bool )
                    | ( hBOOL @ SV143 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2201]) ).

thf(2368,plain,
    ! [SV145: $i,SV612: $i,SV531: $i,SV378: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV378 ) @ ( pi_Arr688267935t_bool @ SV531 @ SV612 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV145 ) @ SV531 ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV378 @ SV145 ) ) @ ( hAPP_A1944296755l_bool @ SV612 @ SV145 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2203]) ).

thf(2369,plain,
    ! [SV147: $i,SV613: $i,SV532: $i,SV379: $i] :
      ( ( ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV379 ) @ ( pi_Arr1511953043t_bool @ SV532 @ SV613 ) ) )
        = $false )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV379 @ SV147 ) ) @ ( hAPP_A1912483895l_bool @ SV613 @ SV147 ) ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV147 ) @ SV532 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2204]) ).

thf(2370,plain,
    ! [SV380: $i,SV148: $i,SV533: $i] :
      ( ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV533 @ top_to1256827021i_bool ) ) )
        = $true )
      | ( ( ( ( hAPP_A588601142di_nat @ SV533 @ SV148 )
           != SV380 )
          | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ SV533 ) @ SV380 )
            = SV148 ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV148 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2205]) ).

thf(2371,plain,
    ! [SV382: $i,SV150: $i] :
      ( ( ( ~ ( ( SV150 != SV382 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV382 ) @ SV150 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV150 ) @ SV382 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2206]) ).

thf(2372,plain,
    ! [SV153: $i,SV614: $i,SV534: $i,SV385: $i] :
      ( ( ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV385 ) @ ( pi_Arr372473371t_bool @ SV534 @ SV614 ) ) )
        = $false )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV385 @ SV153 ) ) @ ( hAPP_A1964572607l_bool @ SV614 @ SV153 ) ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV153 ) @ SV534 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2208]) ).

thf(2373,plain,
    ! [SV155: $i,SV615: $i,SV535: $i,SV387: $i] :
      ( ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV387 ) @ ( pi_fun433100839t_bool @ SV535 @ SV615 ) ) )
        = $false )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV387 @ SV155 ) ) @ ( hAPP_f861484971l_bool @ SV615 @ SV155 ) ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV155 ) @ SV535 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2209]) ).

thf(2374,plain,
    ! [SV388: $i,SV156: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV156 ) @ SV388 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1636546729l_bool @ SV388 @ SV156 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2210]) ).

thf(2375,plain,
    ! [SV156: $i,SV388: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1636546729l_bool @ SV388 @ SV156 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV156 ) @ SV388 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2211]) ).

thf(2376,plain,
    ! [SV157: $i,SV616: $i,SV536: $i,SV389: $i] :
      ( ( ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV389 ) @ ( pi_fun1494794527l_bool @ SV536 @ SV616 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV157 ) @ SV536 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV389 @ SV157 ) ) @ ( hAPP_f313042899l_bool @ SV616 @ SV157 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2212]) ).

thf(2377,plain,
    ! [SV617: $i,SV537: $i,SV390: $i,SV158: $i] :
      ( ( ( ~ ( ~ ( is_Arr625519182e_indi @ SV158 )
              | ~ ( is_Arr625519182e_indi @ SV390 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV537 @ SV617 ) )
          | ( ( hAPP_A588601142di_nat @ SV537 @ SV158 )
           != ( hAPP_A588601142di_nat @ SV537 @ SV390 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV158 ) @ SV617 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV390 ) @ SV617 ) )
          | ( SV158 = SV390 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2213]) ).

thf(2378,plain,
    ! [SV159: $i,SV618: $i,SV538: $i,SV391: $i] :
      ( ( ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV391 ) @ ( pi_fun972956463e_indi @ SV538 @ ( hAPP_f1903519657i_bool @ cOMBK_2076140708t_bool @ SV618 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV159 ) @ SV538 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV391 @ SV159 ) ) @ SV618 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2214]) ).

thf(2379,plain,
    ! [SV539: $i,SV392: $i,SV160: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV160 )
          | ~ ( is_Arr625519182e_indi @ SV392 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV539 @ top_to1256827021i_bool ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
                   != ( hAPP_A588601142di_nat @ SV539 @ SV392 ) )
                  | ( SV160 = SV392 ) )
              | ~ ( ( SV160 != SV392 )
                  | ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
                    = ( hAPP_A588601142di_nat @ SV539 @ SV392 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2215]) ).

thf(2380,plain,
    ! [SV162: $i] :
      ( ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $false )
      | ( ( ! [SY913: $i] :
              ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY913 ) @ arrow_413697182e_Prof ) )
              | ! [SY914: $i,SY915: $i] :
                  ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY914 )
                        | ~ ( is_Arr553848933le_alt @ SY915 ) )
                  | ~ ! [SX4: $i] :
                        ( ~ ( is_Arr625519182e_indi @ SX4 )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY914 @ SY915 ) ) @ ( hAPP_A1374816149t_bool @ SY913 @ SX4 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY914 @ SY915 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SY913 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2217]) ).

thf(2381,plain,
    ! [SV162: $i] :
      ( ( ( ! [SY917: $i] :
              ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY917 ) @ arrow_413697182e_Prof ) )
              | ! [SY918: $i,SY919: $i] :
                  ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY918 )
                        | ~ ( is_Arr553848933le_alt @ SY919 ) )
                  | ~ ! [SX4: $i] :
                        ( ~ ( is_Arr625519182e_indi @ SX4 )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY918 @ SY919 ) ) @ ( hAPP_A1374816149t_bool @ SY917 @ SX4 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY918 @ SY919 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SY917 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2218]) ).

thf(2382,plain,
    ! [SV394: $i,SV163: $i,SV540: $i] :
      ( ( ( SV540 != SV163 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV394 ) @ SV163 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV394 ) @ SV540 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2219]) ).

thf(2383,plain,
    ! [SV541: $i,SV397: $i,SV166: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV166 ) @ SV397 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV166 ) @ SV541 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV397 ) @ SV541 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2220]) ).

thf(2384,plain,
    ! [SV399: $i,SV168: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV168 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV399 ) )
        = $true )
      | ( ( ~ ( ( SV168 != SV399 ) )
          | ~ ! [SY1218: $i] :
                ~ ~ ( ~ ~ ( ~ ( is_fun282293932t_bool @ SY1218 )
                          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY1218 ) @ arrow_1239002508le_Lin ) ) )
                    | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV168 @ SV399 ) ) @ SY1218 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2222]) ).

thf(2385,plain,
    ! [SV169: $i,SV619: $i,SV542: $i,SV400: $i] :
      ( ( ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV400 ) @ ( pi_Pro437273841e_indi @ SV542 @ SV619 ) ) )
        = $false )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV400 @ SV169 ) ) @ ( hAPP_P907763049i_bool @ SV619 @ SV169 ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV169 ) @ SV542 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2223]) ).

thf(2386,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ SV543 )
              | ~ ( is_Arr553848933le_alt @ SV620 ) ) )
        = $false )
      | ( ( ~ ( ( SV543 != SV620 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1394: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1394 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2225]) ).

thf(2387,plain,
    ! [SV405: $i,SV174: $i,SV544: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV544 ) @ SV174 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV405 ) @ SV174 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV405 ) @ SV544 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2226]) ).

thf(2388,plain,
    ! [SV177: $i,SV621: $i,SV545: $i,SV408: $i] :
      ( ( ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV408 ) @ ( pi_boo1877522301le_alt @ SV545 @ ( hAPP_f1520552209t_bool @ cOMBK_697786936l_bool @ SV621 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV177 ) @ SV545 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV408 @ SV177 ) ) @ SV621 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2228]) ).

thf(2389,plain,
    ! [SV409: $i,SV178: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV178 ) @ SV409 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ SV409 @ SV178 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2229]) ).

thf(2390,plain,
    ! [SV178: $i,SV409: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f785543729l_bool @ SV409 @ SV178 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV178 ) @ SV409 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2230]) ).

thf(2391,plain,
    ! [SV181: $i,SV622: $i,SV546: $i,SV412: $i] :
      ( ( ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV412 ) @ ( pi_fun1494794527l_bool @ SV546 @ SV622 ) ) )
        = $false )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV412 @ SV181 ) ) @ ( hAPP_f313042899l_bool @ SV622 @ SV181 ) ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV181 ) @ SV546 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2231]) ).

thf(2392,plain,
    ! [SV186: $i] :
      ( ( ( hBOOL @ ( hAPP_f1636546729l_bool @ top_to1194196741l_bool @ SV186 ) )
        = $false )
      | ( ( hBOOL @ top_top_bool )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2233]) ).

thf(2393,plain,
    ! [SV186: $i] :
      ( ( ( hBOOL @ top_top_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1636546729l_bool @ top_to1194196741l_bool @ SV186 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2234]) ).

thf(2394,plain,
    ! [SV416: $i,SV188: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV188 ) @ SV416 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV416 @ SV188 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2235]) ).

thf(2395,plain,
    ! [SV188: $i,SV416: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P2075002375t_bool @ SV416 @ SV188 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV188 ) @ SV416 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2236]) ).

thf(2396,plain,
    ! [SV547: $i,SV623: $i,SV417: $i,SV189: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV189 )
                    | ~ ( is_Arr553848933le_alt @ SV417 ) )
              | ~ ( is_Arr553848933le_alt @ SV623 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                            | ~ ( ( SV417 != SV623 )
                                | ( SV189 != SV417 ) ) )
                      | ~ ( ~ ( ( SV417 != SV623 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                              | ~ ( ( SV417 != SV623 )
                                  | ( SV189 != SV417 ) ) )
                        | ~ ( ~ ( ( SV417 != SV623 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2237]) ).

thf(2397,plain,
    ! [SV190: $i,SV624: $i,SV548: $i,SV418: $i] :
      ( ( ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV418 ) @ ( pi_fun972956463e_indi @ SV548 @ SV624 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV190 ) @ SV548 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV418 @ SV190 ) ) @ ( hAPP_f352490559i_bool @ SV624 @ SV190 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2238]) ).

thf(2398,plain,
    ! [SV420: $i,SV549: $i,SV192: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV192 ) @ SV549 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV192 ) @ SV420 ) )
        = $true )
      | ( ( SV420 = SV549 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2239]) ).

thf(2399,plain,
    ! [SV625: $i,SV550: $i,SV421: $i,SV193: $i] :
      ( ( ( ~ ( ~ ( is_Arr625519182e_indi @ SV193 )
              | ~ ( is_Arr625519182e_indi @ SV421 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV550 @ SV625 ) )
          | ~ ( ( SV193 != SV421 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV193 ) @ SV625 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV421 ) @ SV625 ) )
          | ( ( hAPP_A588601142di_nat @ SV550 @ SV193 )
           != ( hAPP_A588601142di_nat @ SV550 @ SV421 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2240]) ).

thf(2400,plain,
    ! [SV194: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr625519182e_indi @ ( sK1_SY969 @ SV194 ) )
                | ~ ( is_Arr625519182e_indi @ ( sK2_SY1395 @ SV194 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV194 @ top_to1256827021i_bool ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2241]) ).

thf(2401,plain,
    ! [SV194: $i] :
      ( ( ( ( ( hAPP_A588601142di_nat @ SV194 @ ( sK1_SY969 @ SV194 ) )
           != ( hAPP_A588601142di_nat @ SV194 @ ( sK2_SY1395 @ SV194 ) ) )
          | ( ( sK1_SY969 @ SV194 )
            = ( sK2_SY1395 @ SV194 ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV194 @ top_to1256827021i_bool ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2241]) ).

thf(2402,plain,
    ! [SV195: $i] :
      ( ( ( ~ ( ( SV195 != top_to1194196741l_bool ) )
          | ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ SV195 ) @ top_to1194196741l_bool ) ) )
        = $true )
      | ( ( is_fun959573582l_bool @ SV195 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2242]) ).

thf(2403,plain,
    ! [SV195: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ SV195 ) @ top_to1194196741l_bool ) )
          | ( SV195 != top_to1194196741l_bool ) )
        = $true )
      | ( ( is_fun959573582l_bool @ SV195 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2243]) ).

thf(2404,plain,
    ! [SV551: $i,SV422: $i,SV196: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV196 )
          | ~ ( is_Arr553848933le_alt @ SV422 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ( SV196 != SV422 ) )
          | ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) )
                  | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2244]) ).

thf(2405,plain,
    ! [SV626: $i,SV552: $i,SV423: $i,SV197: $i] :
      ( ( ( ~ ( ~ ( is_Arr625519182e_indi @ SV197 )
              | ~ ( is_Arr625519182e_indi @ SV423 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                   != ( hAPP_A588601142di_nat @ SV552 @ SV197 ) )
                  | ( SV423 = SV197 ) )
              | ~ ( ( SV423 != SV197 )
                  | ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                    = ( hAPP_A588601142di_nat @ SV552 @ SV197 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2245]) ).

thf(2406,plain,
    ! [SV198: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ top_to2005687013l_bool @ SV198 ) )
        = $false )
      | ( ( hBOOL @ top_top_bool )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2246]) ).

thf(2407,plain,
    ! [SV198: $i] :
      ( ( ( hBOOL @ top_top_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ top_to2005687013l_bool @ SV198 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2247]) ).

thf(2408,plain,
    ! [SV199: $i,SV627: $i,SV553: $i,SV424: $i] :
      ( ( ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV424 ) @ ( pi_boo2007389459t_bool @ SV553 @ ( hAPP_f2135750719l_bool @ cOMBK_971068024l_bool @ SV627 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV199 ) @ SV553 ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV424 @ SV199 ) ) @ SV627 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2248]) ).

thf(2409,plain,
    ! [SV201: $i,SV628: $i,SV554: $i,SV426: $i] :
      ( ( ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV426 ) @ ( pi_Arr149813489le_alt @ SV554 @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ SV628 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV201 ) @ SV554 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV426 @ SV201 ) ) @ SV628 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2249]) ).

thf(2410,plain,
    ! [SV427: $i,SV202: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV202 ) @ SV427 ) ) )
        = $true )
      | ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV427 ) @ SV202 ) )
          | ( SV202 = SV427 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2250]) ).

thf(2411,plain,
    ! [SV202: $i,SV427: $i] :
      ( ( ( ~ ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV427 ) @ SV202 ) )
              | ( SV202 = SV427 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV202 ) @ SV427 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2251]) ).

thf(2412,plain,
    ! [SV203: $i] :
      ( ( ( ~ ( ( SV203 != top_to1256827021i_bool ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV203 ) @ top_to1256827021i_bool ) ) )
        = $true )
      | ( ( is_fun917378774i_bool @ SV203 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2252]) ).

thf(2413,plain,
    ! [SV203: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV203 ) @ top_to1256827021i_bool ) )
          | ( SV203 != top_to1256827021i_bool ) )
        = $true )
      | ( ( is_fun917378774i_bool @ SV203 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2253]) ).

thf(2414,plain,
    ! [SV204: $i,SV629: $i,SV555: $i,SV428: $i] :
      ( ( ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV428 ) @ ( pi_fun1494794527l_bool @ SV555 @ ( hAPP_f219827985l_bool @ cOMBK_886533338t_bool @ SV629 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV204 ) @ SV555 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV428 @ SV204 ) ) @ SV629 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2254]) ).

thf(2415,plain,
    ! [SV429: $i,SV205: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV205 ) @ SV429 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ SV429 @ SV205 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2255]) ).

thf(2416,plain,
    ! [SV205: $i,SV429: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ SV429 @ SV205 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV205 ) @ SV429 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2256]) ).

thf(2417,plain,
    ! [SV206: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2257]) ).

thf(2418,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2258]) ).

thf(2419,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) ) )
        = $true )
      | ( ( ! [SY1245: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1245 )
              | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1245 ) @ SV431 ) )
              | ! [SY1246: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1246 )
                  | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1246 ) @ SV431 ) )
                  | ( ( hAPP_A588601142di_nat @ SV208 @ SY1245 )
                   != ( hAPP_A588601142di_nat @ SV208 @ SY1246 ) )
                  | ( SY1245 = SY1246 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2259]) ).

thf(2420,plain,
    ! [SV208: $i,SV431: $i] :
      ( ( ( ~ ! [SY1247: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1247 )
                | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1247 ) @ SV431 ) )
                | ! [SY1248: $i] :
                    ( ~ ( is_Arr625519182e_indi @ SY1248 )
                    | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1248 ) @ SV431 ) )
                    | ( ( hAPP_A588601142di_nat @ SV208 @ SY1247 )
                     != ( hAPP_A588601142di_nat @ SV208 @ SY1248 ) )
                    | ( SY1247 = SY1248 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2260]) ).

thf(2421,plain,
    ! [SV432: $i,SV209: $i,SV556: $i] :
      ( ( ( SV556 != SV209 )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV432 ) @ SV209 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV432 ) @ SV556 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2261]) ).

thf(2422,plain,
    ! [SV212: $i,SV435: $i] :
      ( ( ( hBOOL @ ( inj_on24934938di_nat @ SV435 @ top_to1256827021i_bool ) )
        = $false )
      | ( ( ~ ! [SY1250: $i] :
                ( ( hAPP_A588601142di_nat @ SV435 @ ( hAPP_n385347014e_indi @ SV212 @ SY1250 ) )
                = SY1250 )
          | ( ( hilber1792103167di_nat @ top_to1256827021i_bool @ SV435 )
            = SV212 ) )
        = $true )
      | ( ( is_fun1016509681e_indi @ SV212 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2262]) ).

thf(2423,plain,
    ! [SV213: $i] :
      ( ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false )
      | ( ( ! [SY1000: $i] :
              ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1000 ) @ arrow_413697182e_Prof ) )
              | ! [SY1001: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1001 ) @ arrow_413697182e_Prof ) )
                  | ! [SY1002: $i,SY1003: $i] :
                      ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1002 )
                            | ~ ( is_Arr553848933le_alt @ SY1003 ) )
                      | ~ ! [SX5: $i] :
                            ( ~ ( is_Arr625519182e_indi @ SX5 )
                            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1000 @ SX5 ) ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1001 @ SX5 ) ) ) )
                                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1001 @ SX5 ) ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_A1374816149t_bool @ SY1000 @ SX5 ) ) ) ) ) )
                      | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1000 ) ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1001 ) ) ) )
                          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1001 ) ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1002 @ SY1003 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1000 ) ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2263]) ).

thf(2424,plain,
    ! [SV213: $i] :
      ( ( ( ! [SY1005: $i] :
              ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1005 ) @ arrow_413697182e_Prof ) )
              | ! [SY1006: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1006 ) @ arrow_413697182e_Prof ) )
                  | ! [SY1007: $i,SY1008: $i] :
                      ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1007 )
                            | ~ ( is_Arr553848933le_alt @ SY1008 ) )
                      | ~ ! [SX5: $i] :
                            ( ~ ( is_Arr625519182e_indi @ SX5 )
                            | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1005 @ SX5 ) ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1006 @ SX5 ) ) ) )
                                | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1006 @ SX5 ) ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_A1374816149t_bool @ SY1005 @ SX5 ) ) ) ) ) )
                      | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1005 ) ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1006 ) ) ) )
                          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1006 ) ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1007 @ SY1008 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1005 ) ) ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2264]) ).

thf(2425,plain,
    ! [SV214: $i,SV436: $i,SV557: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV557 ) @ SV436 ) ) )
        = $true )
      | ( ( hBOOL @ SV214 )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV436 ) @ SV557 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2265]) ).

thf(2426,plain,
    ! [SV437: $i,SV215: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV215 ) @ SV437 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV437 ) @ SV215 ) )
        = $true )
      | ( ( SV215 = SV437 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2266]) ).

thf(2427,plain,
    ! [SV216: $i] :
      ( ( ( hBOOL @ ( hAPP_f785543729l_bool @ top_to40512653l_bool @ SV216 ) )
        = $false )
      | ( ( hBOOL @ top_top_bool )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2267]) ).

thf(2428,plain,
    ! [SV216: $i] :
      ( ( ( hBOOL @ top_top_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ top_to40512653l_bool @ SV216 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2268]) ).

thf(2429,plain,
    ! [SV218: $i,SV630: $i,SV558: $i,SV439: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV439 ) @ ( pi_Pro2135156861t_bool @ SV558 @ ( hAPP_f1724001331l_bool @ cOMBK_2008994872le_alt @ SV630 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV218 ) @ SV558 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV439 @ SV218 ) ) @ SV630 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2269]) ).

thf(2430,plain,
    ! [SV440: $i,SV219: $i] :
      ( ( ( ! [SY1254: $i] :
              ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1254 ) @ arrow_413697182e_Prof ) )
              | ! [SY1255: $i,SY1256: $i] :
                  ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1255 )
                        | ~ ( is_Arr553848933le_alt @ SY1256 ) )
                  | ~ ( ( SY1255 != SY1256 ) )
                  | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1255 @ SY1256 ) ) @ ( hAPP_A1374816149t_bool @ SY1254 @ SV219 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1255 @ SY1256 ) ) @ ( hAPP_f695124765t_bool @ SV440 @ SY1254 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2270]) ).

thf(2431,plain,
    ! [SV220: $i,SV631: $i,SV559: $i,SV441: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV441 ) @ ( pi_Pro2135156861t_bool @ SV559 @ SV631 ) ) )
        = $false )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV441 @ SV220 ) ) @ ( hAPP_P2127852789l_bool @ SV631 @ SV220 ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV220 ) @ SV559 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2271]) ).

thf(2432,plain,
    ! [SV442: $i,SV221: $i,SV560: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV560 ) @ SV221 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV442 ) @ SV221 ) )
        = $true )
      | ( ( SV442 = SV560 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2272]) ).

thf(2433,plain,
    ! [SV224: $i,SV632: $i,SV561: $i,SV445: $i] :
      ( ( ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV445 ) @ ( pi_fun2075749915e_indi @ SV561 @ SV632 ) ) )
        = $false )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV445 @ SV224 ) ) @ ( hAPP_f355113919i_bool @ SV632 @ SV224 ) ) )
          | ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV224 ) @ SV561 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2275]) ).

thf(2434,plain,
    ! [SV562: $i,SV446: $i,SV225: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV225 )
          | ~ ( is_Arr625519182e_indi @ SV446 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV562 @ top_to1256827021i_bool ) )
          | ( ( hAPP_A588601142di_nat @ SV562 @ SV225 )
           != ( hAPP_A588601142di_nat @ SV562 @ SV446 ) )
          | ( SV225 = SV446 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2276]) ).

thf(2435,plain,
    ! [SV226: $i,SV633: $i,SV563: $i,SV447: $i] :
      ( ( ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV447 ) @ ( pi_boo2007389459t_bool @ SV563 @ SV633 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV226 ) @ SV563 ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV447 @ SV226 ) ) @ ( hAPP_b1965422783l_bool @ SV633 @ SV226 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2277]) ).

thf(2436,plain,
    ! [SV448: $i,SV227: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV227 ) @ SV448 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ SV448 @ SV227 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2278]) ).

thf(2437,plain,
    ! [SV227: $i,SV448: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ SV448 @ SV227 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV227 ) @ SV448 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2279]) ).

thf(2438,plain,
    ! [SV634: $i,SV564: $i,SV449: $i,SV228: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV228 )
                          | ~ ( is_Arr553848933le_alt @ SV449 ) )
                    | ~ ( is_Arr553848933le_alt @ SV564 ) )
              | ~ ( is_Arr553848933le_alt @ SV634 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ( ( produc171383831le_alt @ SV228 @ SV449 )
                   != ( produc171383831le_alt @ SV564 @ SV634 ) )
                  | ~ ( ( SV228 != SV564 )
                      | ( SV449 != SV634 ) ) )
              | ~ ( ~ ~ ( ( SV228 != SV564 )
                        | ( SV449 != SV634 ) )
                  | ( ( produc171383831le_alt @ SV228 @ SV449 )
                    = ( produc171383831le_alt @ SV564 @ SV634 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2280]) ).

thf(2439,plain,
    ! [SV229: $i,SV565: $i,SV450: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV450 )
          | ~ ( is_Arr553848933le_alt @ SV565 ) )
        = $true )
      | ( ( ~ ( ( SV450 != SV565 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV229 ) @ arrow_1239002508le_Lin ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV229 ) @ SV450 ) @ SV565 ) ) @ arrow_1239002508le_Lin ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2281]) ).

thf(2440,plain,
    ! [SV230: $i,SV635: $i,SV566: $i,SV451: $i] :
      ( ( ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV451 ) @ ( pi_boo691944735t_bool @ SV566 @ SV635 ) ) )
        = $false )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV451 @ SV230 ) ) @ ( hAPP_b1719629739l_bool @ SV635 @ SV230 ) ) )
          | ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV230 ) @ SV566 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2282]) ).

thf(2441,plain,
    ! [SV232: $i,SV636: $i,SV567: $i,SV453: $i] :
      ( ( ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV453 ) @ ( pi_fun1727820731l_bool @ SV567 @ ( hAPP_f1667233577l_bool @ cOMBK_1015076504t_bool @ SV636 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV232 ) @ SV567 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV453 @ SV232 ) ) @ SV636 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2286]) ).

thf(2442,plain,
    ! [SV235: $i] :
      ( ( ( ~ ( ( SV235 != top_to2005687013l_bool ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ SV235 ) @ top_to2005687013l_bool ) ) )
        = $true )
      | ( ( is_fun432044380l_bool @ SV235 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2287]) ).

thf(2443,plain,
    ! [SV235: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ SV235 ) @ top_to2005687013l_bool ) )
          | ( SV235 != top_to2005687013l_bool ) )
        = $true )
      | ( ( is_fun432044380l_bool @ SV235 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2288]) ).

thf(2444,plain,
    ! [SV236: $i,SV456: $i,SV653: $i,SV637: $i,SV568: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV568 )
                      | ~ ( is_Arr553848933le_alt @ SV637 ) )
                | ~ ( is_Arr553848933le_alt @ SV653 ) ) )
        = $true )
      | ( ( ~ ( ( SV637 != SV653 ) )
          | ~ ( ( SV653 != SV568 ) )
          | ~ ( ( SV637 != SV568 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2289]) ).

thf(2445,plain,
    ! [SV239: $i,SV638: $i,SV569: $i,SV459: $i] :
      ( ( ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV459 ) @ ( pi_fun1736243859e_indi @ SV569 @ ( hAPP_f681113465i_bool @ cOMBK_454107598t_bool @ SV638 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV239 ) @ SV569 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV459 @ SV239 ) ) @ SV638 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2290]) ).

thf(2446,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2291]) ).

thf(2447,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2292]) ).

thf(2448,plain,
    ! [SV242: $i,SV570: $i,SV461: $i] :
      ( ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV461 @ SV570 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV242 ) @ SV570 ) )
          | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SV570 @ SV461 ) @ ( hAPP_A588601142di_nat @ SV461 @ SV242 ) )
            = SV242 ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV242 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2293]) ).

thf(2449,plain,
    ! [SV243: $i,SV639: $i,SV571: $i,SV462: $i] :
      ( ( ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV462 ) @ ( pi_boo691944735t_bool @ SV571 @ SV639 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV243 ) @ SV571 ) )
          | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV462 @ SV243 ) ) @ ( hAPP_b1719629739l_bool @ SV639 @ SV243 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2294]) ).

thf(2450,plain,
    ! [SV247: $i,SV640: $i,SV572: $i,SV466: $i] :
      ( ( ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV466 ) @ ( pi_Pro437273841e_indi @ SV572 @ SV640 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV247 ) @ SV572 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV466 @ SV247 ) ) @ ( hAPP_P907763049i_bool @ SV640 @ SV247 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2296]) ).

thf(2451,plain,
    ! [SV248: $i,SV641: $i,SV573: $i,SV467: $i] :
      ( ( ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV467 ) @ ( pi_Arr372473371t_bool @ SV573 @ SV641 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV248 ) @ SV573 ) )
          | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV467 @ SV248 ) ) @ ( hAPP_A1964572607l_bool @ SV641 @ SV248 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2297]) ).

thf(2452,plain,
    ! [SV249: $i,SV642: $i,SV574: $i,SV468: $i] :
      ( ( ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV468 ) @ ( pi_fun1727820731l_bool @ SV574 @ SV642 ) ) )
        = $false )
      | ( ( ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV468 @ SV249 ) ) @ ( hAPP_f417299659l_bool @ SV642 @ SV249 ) ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV249 ) @ SV574 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2298]) ).

thf(2453,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( ~ ( is_fun282293932t_bool @ SV252 ) )
        = $true )
      | ( ( ~ ( is_fun282293932t_bool @ SV471 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ! [SY1287: $i,SY1288: $i] :
                        ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1287 )
                              | ~ ( is_Arr553848933le_alt @ SY1288 ) )
                        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) ) )
                            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) ) ) ) )
                  | ( SV471 = SV252 ) )
              | ~ ( ( SV471 != SV252 )
                  | ! [SY1289: $i,SY1290: $i] :
                      ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1289 )
                            | ~ ( is_Arr553848933le_alt @ SY1290 ) )
                      | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) ) )
                          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2300]) ).

thf(2454,plain,
    ! [SV256: $i,SV643: $i,SV575: $i,SV474: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV474 ) @ ( pi_Arr688267935t_bool @ SV575 @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ SV643 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV256 ) @ SV575 ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV474 @ SV256 ) ) @ SV643 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2302]) ).

thf(2455,plain,
    ! [SV576: $i,SV257: $i,SV475: $i] :
      ( ( ( SV475 != SV257 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV257 ) @ SV576 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV475 ) @ SV576 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2303]) ).

thf(2456,plain,
    ! [SV260: $i,SV644: $i,SV577: $i,SV477: $i] :
      ( ( ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV477 ) @ ( pi_Arr1511953043t_bool @ SV577 @ SV644 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV260 ) @ SV577 ) )
          | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV477 @ SV260 ) ) @ ( hAPP_A1912483895l_bool @ SV644 @ SV260 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2304]) ).

thf(2457,plain,
    ! [SV261: $i] :
      ( ( ( ~ ( ( SV261 != top_to40512653l_bool ) )
          | ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ SV261 ) @ top_to40512653l_bool ) ) )
        = $true )
      | ( ( is_fun631676118l_bool @ SV261 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2305]) ).

thf(2458,plain,
    ! [SV261: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ SV261 ) @ top_to40512653l_bool ) )
          | ( SV261 != top_to40512653l_bool ) )
        = $true )
      | ( ( is_fun631676118l_bool @ SV261 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2306]) ).

thf(2459,plain,
    ! [SV263: $i,SV645: $i,SV578: $i,SV479: $i] :
      ( ( ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV479 ) @ ( pi_boo691944735t_bool @ SV578 @ ( hAPP_f371807573l_bool @ cOMBK_697604314l_bool @ SV645 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV263 ) @ SV578 ) )
          | ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV479 @ SV263 ) ) @ SV645 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2307]) ).

thf(2460,plain,
    ! [SV579: $i,SV480: $i,SV264: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV264 ) @ SV480 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV264 ) @ SV579 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV480 ) @ SV579 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2308]) ).

thf(2461,plain,
    ! [SV265: $i,SV646: $i,SV580: $i,SV481: $i] :
      ( ( ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV481 ) @ ( pi_fun1727820731l_bool @ SV580 @ SV646 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV265 ) @ SV580 ) )
          | ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV481 @ SV265 ) ) @ ( hAPP_f417299659l_bool @ SV646 @ SV265 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2309]) ).

thf(2462,plain,
    ! [SV267: $i] :
      ( ( ( hBOOL @ ( hAPP_A1466488369i_bool @ top_to1256827021i_bool @ SV267 ) )
        = $false )
      | ( ( hBOOL @ top_top_bool )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2310]) ).

thf(2463,plain,
    ! [SV267: $i] :
      ( ( ( hBOOL @ top_top_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ top_to1256827021i_bool @ SV267 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2311]) ).

thf(2464,plain,
    ! [SV581: $i,SV268: $i,SV483: $i] :
      ( ( ( SV483 != SV268 )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV268 ) @ SV581 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV483 ) @ SV581 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2312]) ).

thf(2465,plain,
    ! [SV269: $i,SV647: $i,SV582: $i,SV484: $i] :
      ( ( ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV484 ) @ ( pi_Pro437273841e_indi @ SV582 @ ( hAPP_f1970593179i_bool @ cOMBK_100791596le_alt @ SV647 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV269 ) @ SV582 ) )
          | ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV484 @ SV269 ) ) @ SV647 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2313]) ).

thf(2466,plain,
    ! [SV270: $i,SV485: $i] :
      ( ( ( hBOOL @ ( inj_on24934938di_nat @ SV485 @ top_to1256827021i_bool ) )
        = $false )
      | ( ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ SV485 ) @ ( hAPP_A588601142di_nat @ SV485 @ SV270 ) )
          = SV270 )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV270 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2316]) ).

thf(2467,plain,
    ! [SV271: $i,SV648: $i,SV583: $i,SV486: $i] :
      ( ( ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV486 ) @ ( pi_boo71521447t_bool @ SV583 @ ( hAPP_f448497509l_bool @ cOMBK_1268833122l_bool @ SV648 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV271 ) @ SV583 ) )
          | ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV486 @ SV271 ) ) @ SV648 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2317]) ).

thf(2468,plain,
    ! [SV584: $i,SV314: $i,SV498: $i,SV73: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV73 ) @ SV498 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV314 @ SV73 ) ) @ ( hAPP_b1024867081t_bool @ SV584 @ SV73 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV314 ) @ ( pi_boo1877522301le_alt @ SV498 @ SV584 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2318]) ).

thf(2469,plain,
    ! [SV585: $i,SV317: $i,SV499: $i,SV76: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV76 ) @ SV499 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV317 @ SV76 ) ) @ ( hAPP_b990649139l_bool @ SV585 @ SV76 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV317 ) @ ( pi_boo71521447t_bool @ SV499 @ SV585 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2319]) ).

thf(2470,plain,
    ! [SV500: $i,SV586: $i,SV77: $i,SV318: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV318 @ SV77 ) ) @ ( hAPP_f749892423i_bool @ SV586 @ SV77 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV77 ) @ SV500 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV318 ) @ ( pi_fun1736243859e_indi @ SV500 @ SV586 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2320]) ).

thf(2471,plain,
    ! [SV78: $i,SV319: $i,SV654: $i,SV649: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV501 )
                            | ~ ( is_Arr553848933le_alt @ SV587 ) )
                      | ~ ( is_Arr553848933le_alt @ SV649 ) )
                | ~ ( is_Arr553848933le_alt @ SV654 ) ) )
        = $true )
      | ( ( ~ ( ( SV649 != SV654 ) )
          | ~ ( ( SV501 != SV587 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2321]) ).

thf(2472,plain,
    ! [SV320: $i,SV80: $i] :
      ( ( ( is_fun917378774i_bool @ SV80 )
        = $false )
      | ( ( ~ ( is_Arr625519182e_indi @ SV320 ) )
        = $true )
      | ( ( is_bool @ ( hAPP_A1466488369i_bool @ SV80 @ SV320 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2324]) ).

thf(2473,plain,
    ! [SV588: $i,SV321: $i,SV502: $i,SV81: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV81 ) @ SV502 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV321 @ SV81 ) ) @ SV588 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV321 ) @ ( pi_fun433100839t_bool @ SV502 @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ SV588 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2325]) ).

thf(2474,plain,
    ! [SV324: $i,SV84: $i] :
      ( ( ( is_fun432044380l_bool @ SV84 )
        = $false )
      | ( ( ~ ( is_fun282293932t_bool @ SV324 ) )
        = $true )
      | ( ( is_bool @ ( hAPP_f745298353l_bool @ SV84 @ SV324 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2326]) ).

thf(2475,plain,
    ! [SV589: $i,SV325: $i,SV503: $i,SV85: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV85 ) @ SV503 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV325 @ SV85 ) ) @ SV589 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV325 ) @ ( pi_fun2075749915e_indi @ SV503 @ ( hAPP_f1677452273i_bool @ cOMBK_1372975190t_bool @ SV589 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2327]) ).

thf(2476,plain,
    ! [SV86: $i,SV326: $i,SV590: $i,SV504: $i] :
      ( ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV504 @ SV590 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV326 ) @ SV590 ) )
          | ( ( hAPP_A588601142di_nat @ SV504 @ SV326 )
           != SV86 )
          | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SV590 @ SV504 ) @ SV86 )
            = SV326 ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV326 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2328]) ).

thf(2477,plain,
    ! [SV505: $i,SV591: $i,SV327: $i,SV87: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV87 )
                | ~ ( is_Arr553848933le_alt @ SV327 ) )
          | ~ ( is_Arr553848933le_alt @ SV591 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                            | ~ ( ( SV87 != SV591 )
                                | ( SV87 != SV327 ) ) )
                      | ~ ( ~ ( ( SV87 != SV591 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                              | ~ ( ( SV87 != SV591 )
                                  | ( SV87 != SV327 ) ) )
                        | ~ ( ~ ( ( SV87 != SV591 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2329]) ).

thf(2478,plain,
    ! [SV506: $i,SV331: $i,SV91: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV91 @ SV331 ) ) @ SV506 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV331 @ SV91 ) ) @ SV506 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV506 ) @ arrow_1239002508le_Lin ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2330]) ).

thf(2479,plain,
    ! [SV507: $i,SV592: $i,SV92: $i,SV332: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV332 @ SV92 ) ) @ ( hAPP_b1965422783l_bool @ SV592 @ SV92 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV92 ) @ SV507 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV332 ) @ ( pi_boo2007389459t_bool @ SV507 @ SV592 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2331]) ).

thf(2480,plain,
    ! [SV334: $i,SV95: $i,SV508: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV508 ) @ SV95 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV334 ) @ SV95 ) )
        = $true )
      | ( ( SV334 = SV508 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2332]) ).

thf(2481,plain,
    ! [SV509: $i,SV593: $i,SV96: $i,SV335: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV335 @ SV96 ) ) @ ( hAPP_A1374816149t_bool @ SV593 @ SV96 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV96 ) @ SV509 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV335 ) @ ( pi_Arr149813489le_alt @ SV509 @ SV593 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2333]) ).

thf(2482,plain,
    ! [SV510: $i,SV594: $i,SV97: $i,SV336: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV336 @ SV97 ) ) @ ( hAPP_b990649139l_bool @ SV594 @ SV97 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV97 ) @ SV510 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV336 ) @ ( pi_boo71521447t_bool @ SV510 @ SV594 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2334]) ).

thf(2483,plain,
    ! [SV595: $i,SV337: $i,SV511: $i,SV98: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV98 ) @ SV511 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV337 @ SV98 ) ) @ SV595 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV337 ) @ ( pi_Arr1511953043t_bool @ SV511 @ ( hAPP_f813556705l_bool @ cOMBK_116240846e_indi @ SV595 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2335]) ).

thf(2484,plain,
    ! [SV596: $i,SV339: $i,SV512: $i,SV100: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV100 ) @ SV512 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV339 @ SV100 ) ) @ ( hAPP_f355113919i_bool @ SV596 @ SV100 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV339 ) @ ( pi_fun2075749915e_indi @ SV512 @ SV596 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2336]) ).

thf(2485,plain,
    ! [SV597: $i,SV340: $i,SV513: $i,SV101: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV101 ) @ SV513 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV340 @ SV101 ) ) @ ( hAPP_f749892423i_bool @ SV597 @ SV101 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV340 ) @ ( pi_fun1736243859e_indi @ SV513 @ SV597 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2337]) ).

thf(2486,plain,
    ! [SV598: $i,SV341: $i,SV514: $i,SV102: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV102 ) @ SV514 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV341 @ SV102 ) ) @ ( hAPP_A1374816149t_bool @ SV598 @ SV102 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV341 ) @ ( pi_Arr149813489le_alt @ SV514 @ SV598 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2338]) ).

thf(2487,plain,
    ! [SV343: $i,SV104: $i,SV515: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV515 ) @ SV104 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV343 ) @ SV104 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV343 ) @ SV515 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2339]) ).

thf(2488,plain,
    ! [SV106: $i,SV345: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV345 ) @ SV106 ) )
              | ( SV345 = SV106 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV106 ) @ SV345 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2340]) ).

thf(2489,plain,
    ! [SV106: $i,SV345: $i] :
      ( ( ( ~ ( ( SV345 != SV106 )
              | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV345 ) @ SV106 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV106 ) @ SV345 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2340]) ).

thf(2490,plain,
    ! [SV599: $i,SV516: $i,SV346: $i,SV107: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV107 )
                      | ~ ( is_Arr553848933le_alt @ SV346 ) )
                | ~ ( is_Arr553848933le_alt @ SV516 ) )
          | ~ ( is_Arr553848933le_alt @ SV599 ) )
        = $true )
      | ( ( ( ( produc171383831le_alt @ SV107 @ SV346 )
           != ( produc171383831le_alt @ SV516 @ SV599 ) )
          | ~ ( ( SV107 != SV516 )
              | ( SV346 != SV599 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2341]) ).

thf(2491,plain,
    ! [SV600: $i,SV348: $i,SV517: $i,SV109: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV109 ) @ SV517 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV348 @ SV109 ) ) @ SV600 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV348 ) @ ( pi_Arr372473371t_bool @ SV517 @ ( hAPP_f1697527281l_bool @ cOMBK_1292462166e_indi @ SV600 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2342]) ).

thf(2492,plain,
    ! [SV350: $i,SV111: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV111 ) @ SV350 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ SV350 @ SV111 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2343]) ).

thf(2493,plain,
    ! [SV111: $i,SV350: $i] :
      ( ( ( hBOOL @ ( hAPP_A1466488369i_bool @ SV350 @ SV111 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV111 ) @ SV350 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2344]) ).

thf(2494,plain,
    ! [SV518: $i,SV601: $i,SV112: $i,SV351: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV351 @ SV112 ) ) @ ( hAPP_f497468491l_bool @ SV601 @ SV112 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV112 ) @ SV518 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV351 ) @ ( pi_fun525942951l_bool @ SV518 @ SV601 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2345]) ).

thf(2495,plain,
    ! [SV519: $i,SV650: $i,SV602: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV113 )
                          | ~ ( is_Arr553848933le_alt @ SV352 ) )
                    | ~ ( is_Arr553848933le_alt @ SV602 ) )
              | ~ ( is_Arr553848933le_alt @ SV650 ) ) )
        = $false )
      | ( ( ~ ( ( SV602 != SV650 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                            | ~ ( ( SV113 != SV650 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                      | ~ ( ~ ( ( SV113 != SV650 ) )
                          | ~ ( ~ ( ( SV352 != SV650 )
                                  | ( SV113 = SV602 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                              | ~ ( ~ ( ( SV352 != SV650 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SV650 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SV650 ) )
                            | ~ ( ~ ( ( SV352 != SV650 )
                                    | ( SV113 = SV602 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                                | ~ ( ~ ( ( SV352 != SV650 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2346]) ).

thf(2496,plain,
    ! [SV520: $i,SV603: $i,SV114: $i,SV353: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV353 @ SV114 ) ) @ ( hAPP_f352490559i_bool @ SV603 @ SV114 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV114 ) @ SV520 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV353 ) @ ( pi_fun972956463e_indi @ SV520 @ SV603 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2347]) ).

thf(2497,plain,
    ! [SV604: $i,SV356: $i,SV521: $i,SV118: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV118 ) @ SV521 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV356 @ SV118 ) ) @ ( hAPP_P2127852789l_bool @ SV604 @ SV118 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV356 ) @ ( pi_Pro2135156861t_bool @ SV521 @ SV604 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2348]) ).

thf(2498,plain,
    ! [SV119: $i] :
      ( ( ( ~ ( ( SV119 != top_to2034604131t_bool ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ SV119 ) @ top_to2034604131t_bool ) )
        = $true )
      | ( ( is_fun282293932t_bool @ SV119 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2349]) ).

thf(2499,plain,
    ! [SV119: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ SV119 ) @ top_to2034604131t_bool ) ) )
        = $true )
      | ( ( SV119 != top_to2034604131t_bool )
        = $true )
      | ( ( is_fun282293932t_bool @ SV119 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2350]) ).

thf(2500,plain,
    ! [SV358: $i,SV121: $i] :
      ( ( ( SV121 != SV358 )
        = $false )
      | ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV121 ) @ SV358 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV358 ) @ SV121 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2351]) ).

thf(2501,plain,
    ! [SV358: $i,SV121: $i] :
      ( ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV121 ) @ SV358 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV358 ) @ SV121 ) ) )
        = $false )
      | ( ( SV121 != SV358 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2352]) ).

thf(2502,plain,
    ! [SV522: $i,SV605: $i,SV123: $i,SV359: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV359 @ SV123 ) ) @ ( hAPP_A1944296755l_bool @ SV605 @ SV123 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV123 ) @ SV522 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV359 ) @ ( pi_Arr688267935t_bool @ SV522 @ SV605 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2353]) ).

thf(2503,plain,
    ! [SV606: $i,SV361: $i,SV523: $i,SV125: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV125 ) @ SV523 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV361 @ SV125 ) ) @ ( hAPP_f861484971l_bool @ SV606 @ SV125 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV361 ) @ ( pi_fun433100839t_bool @ SV523 @ SV606 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2354]) ).

thf(2504,plain,
    ! [SV607: $i,SV362: $i,SV524: $i,SV126: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV126 ) @ SV524 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV362 @ SV126 ) ) @ SV607 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV362 ) @ ( pi_fun525942951l_bool @ SV524 @ ( hAPP_f1235573641l_bool @ cOMBK_1072228194t_bool @ SV607 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2355]) ).

thf(2505,plain,
    ! [SV127: $i,SV363: $i,SV655: $i,SV651: $i,SV608: $i,SV525: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV525 )
                            | ~ ( is_Arr553848933le_alt @ SV608 ) )
                      | ~ ( is_Arr553848933le_alt @ SV651 ) )
                | ~ ( is_Arr553848933le_alt @ SV655 ) ) )
        = $true )
      | ( ( ~ ( ( SV651 != SV655 ) )
          | ~ ( ( SV525 != SV608 ) )
          | ~ ( ( SV651 != SV608 ) )
          | ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2356]) ).

thf(2506,plain,
    ! [SV526: $i,SV609: $i,SV128: $i,SV364: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV364 @ SV128 ) ) @ ( hAPP_b1024867081t_bool @ SV609 @ SV128 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV128 ) @ SV526 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV364 ) @ ( pi_boo1877522301le_alt @ SV526 @ SV609 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2357]) ).

thf(2507,plain,
    ! [SV365: $i,SV527: $i,SV129: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV129 ) @ SV527 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV129 ) @ SV365 ) )
        = $true )
      | ( ( SV365 = SV527 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2358]) ).

thf(2508,plain,
    ! [SV132: $i] :
      ( ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( sK3_SY855 @ SV132 ) ) )
        = $false )
      | ( ( ! [SY856: $i,SY857: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY856 )
                    | ~ ( is_Arr553848933le_alt @ SY857 ) )
              | ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ SY856 @ SY857 ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2359]) ).

thf(2509,plain,
    ! [SV132: $i] :
      ( ( ( ! [SY1408: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ ( sK4_SY858 @ SV132 ) )
                    | ~ ( is_Arr553848933le_alt @ SY1408 ) )
              | ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ ( sK4_SY858 @ SV132 ) @ SY1408 ) ) ) ) )
        = $false )
      | ( ( ! [SY860: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY860 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2360]) ).

thf(2510,plain,
    ! [SV133: $i,SV368: $i,SV656: $i,SV652: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV528 )
                            | ~ ( is_Arr553848933le_alt @ SV610 ) )
                      | ~ ( is_Arr553848933le_alt @ SV652 ) )
                | ~ ( is_Arr553848933le_alt @ SV656 ) ) )
        = $true )
      | ( ( ~ ( ( SV652 != SV656 ) )
          | ~ ( ( SV528 != SV610 ) )
          | ~ ( ( SV652 != SV610 ) )
          | ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2361]) ).

thf(2511,plain,
    ! [SV136: $i,SV371: $i,SV529: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV529 ) @ SV371 ) )
        = $false )
      | ( ( hBOOL @ SV136 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV371 ) @ SV529 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2362]) ).

thf(2512,plain,
    ! [SV611: $i,SV374: $i,SV530: $i,SV140: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV140 ) @ SV530 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV374 @ SV140 ) ) @ ( hAPP_f497468491l_bool @ SV611 @ SV140 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV374 ) @ ( pi_fun525942951l_bool @ SV530 @ SV611 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2363]) ).

thf(2513,plain,
    ! [SV376: $i,SV142: $i] :
      ( ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV142 ) @ SV376 ) )
        = $false )
      | ( ( ! [SY1198: $i] :
              ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1198 ) @ arrow_413697182e_Prof ) )
              | ( ( hAPP_f695124765t_bool @ SV142 @ SY1198 )
                = ( hAPP_A1374816149t_bool @ SY1198 @ SV376 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2364]) ).

thf(2514,plain,
    ! [SV376: $i,SV142: $i] :
      ( ( ( ! [SY1199: $i] :
              ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1199 ) @ arrow_413697182e_Prof ) )
              | ( ( hAPP_f695124765t_bool @ SV142 @ SY1199 )
                = ( hAPP_A1374816149t_bool @ SY1199 @ SV376 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV142 ) @ SV376 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2365]) ).

thf(2515,plain,
    ! [SV143: $i] :
      ( ( ( ~ ( ~ ( ~ ( hBOOL @ SV143 )
                  | ( hBOOL @ top_top_bool ) )
              | ~ ( ~ ( hBOOL @ top_top_bool )
                  | ( hBOOL @ SV143 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2366]) ).

thf(2516,plain,
    ! [SV143: $i] :
      ( ( ( ~ ( ~ ( ~ ( hBOOL @ SV143 )
                  | ( hBOOL @ top_top_bool ) )
              | ~ ( ~ ( hBOOL @ top_top_bool )
                  | ( hBOOL @ SV143 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2367]) ).

thf(2517,plain,
    ! [SV612: $i,SV378: $i,SV531: $i,SV145: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV145 ) @ SV531 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV378 @ SV145 ) ) @ ( hAPP_A1944296755l_bool @ SV612 @ SV145 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV378 ) @ ( pi_Arr688267935t_bool @ SV531 @ SV612 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2368]) ).

thf(2518,plain,
    ! [SV532: $i,SV613: $i,SV147: $i,SV379: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV379 @ SV147 ) ) @ ( hAPP_A1912483895l_bool @ SV613 @ SV147 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV147 ) @ SV532 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV379 ) @ ( pi_Arr1511953043t_bool @ SV532 @ SV613 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2369]) ).

thf(2519,plain,
    ! [SV380: $i,SV148: $i,SV533: $i] :
      ( ( ( hBOOL @ ( inj_on24934938di_nat @ SV533 @ top_to1256827021i_bool ) )
        = $false )
      | ( ( ( ( hAPP_A588601142di_nat @ SV533 @ SV148 )
           != SV380 )
          | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ SV533 ) @ SV380 )
            = SV148 ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV148 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2370]) ).

thf(2520,plain,
    ! [SV382: $i,SV150: $i] :
      ( ( ( SV150 != SV382 )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV382 ) @ SV150 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV150 ) @ SV382 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2371]) ).

thf(2521,plain,
    ! [SV534: $i,SV614: $i,SV153: $i,SV385: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV385 @ SV153 ) ) @ ( hAPP_A1964572607l_bool @ SV614 @ SV153 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV153 ) @ SV534 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV385 ) @ ( pi_Arr372473371t_bool @ SV534 @ SV614 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2372]) ).

thf(2522,plain,
    ! [SV535: $i,SV615: $i,SV155: $i,SV387: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV387 @ SV155 ) ) @ ( hAPP_f861484971l_bool @ SV615 @ SV155 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV155 ) @ SV535 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV387 ) @ ( pi_fun433100839t_bool @ SV535 @ SV615 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2373]) ).

thf(2523,plain,
    ! [SV388: $i,SV156: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV156 ) @ SV388 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1636546729l_bool @ SV388 @ SV156 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2374]) ).

thf(2524,plain,
    ! [SV156: $i,SV388: $i] :
      ( ( ( hBOOL @ ( hAPP_f1636546729l_bool @ SV388 @ SV156 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV156 ) @ SV388 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2375]) ).

thf(2525,plain,
    ! [SV616: $i,SV389: $i,SV536: $i,SV157: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV157 ) @ SV536 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV389 @ SV157 ) ) @ ( hAPP_f313042899l_bool @ SV616 @ SV157 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV389 ) @ ( pi_fun1494794527l_bool @ SV536 @ SV616 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2376]) ).

thf(2526,plain,
    ! [SV617: $i,SV537: $i,SV390: $i,SV158: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV158 )
          | ~ ( is_Arr625519182e_indi @ SV390 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV537 @ SV617 ) )
          | ( ( hAPP_A588601142di_nat @ SV537 @ SV158 )
           != ( hAPP_A588601142di_nat @ SV537 @ SV390 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV158 ) @ SV617 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV390 ) @ SV617 ) )
          | ( SV158 = SV390 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2377]) ).

thf(2527,plain,
    ! [SV618: $i,SV391: $i,SV538: $i,SV159: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV159 ) @ SV538 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV391 @ SV159 ) ) @ SV618 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV391 ) @ ( pi_fun972956463e_indi @ SV538 @ ( hAPP_f1903519657i_bool @ cOMBK_2076140708t_bool @ SV618 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2378]) ).

thf(2528,plain,
    ! [SV539: $i,SV392: $i,SV160: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV160 ) )
        = $true )
      | ( ( ~ ( is_Arr625519182e_indi @ SV392 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV539 @ top_to1256827021i_bool ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
                   != ( hAPP_A588601142di_nat @ SV539 @ SV392 ) )
                  | ( SV160 = SV392 ) )
              | ~ ( ( SV160 != SV392 )
                  | ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
                    = ( hAPP_A588601142di_nat @ SV539 @ SV392 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2379]) ).

thf(2529,plain,
    ! [SV162: $i,SV657: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV657 ) @ arrow_413697182e_Prof ) )
          | ! [SY1409: $i,SY1410: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1409 )
                    | ~ ( is_Arr553848933le_alt @ SY1410 ) )
              | ~ ! [SY1411: $i] :
                    ( ~ ( is_Arr625519182e_indi @ SY1411 )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1409 @ SY1410 ) ) @ ( hAPP_A1374816149t_bool @ SV657 @ SY1411 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1409 @ SY1410 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SV657 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2380]) ).

thf(2530,plain,
    ! [SV162: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( sK5_SY917 @ SV162 ) ) @ arrow_413697182e_Prof ) )
          | ! [SY1412: $i,SY1413: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1412 )
                    | ~ ( is_Arr553848933le_alt @ SY1413 ) )
              | ~ ! [SY1414: $i] :
                    ( ~ ( is_Arr625519182e_indi @ SY1414 )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1412 @ SY1413 ) ) @ ( hAPP_A1374816149t_bool @ ( sK5_SY917 @ SV162 ) @ SY1414 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1412 @ SY1413 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ ( sK5_SY917 @ SV162 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2381]) ).

thf(2531,plain,
    ! [SV394: $i,SV163: $i,SV540: $i] :
      ( ( ( SV540 = SV163 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV394 ) @ SV163 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV394 ) @ SV540 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2382]) ).

thf(2532,plain,
    ! [SV541: $i,SV397: $i,SV166: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV166 ) @ SV397 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV166 ) @ SV541 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV397 ) @ SV541 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2383]) ).

thf(2533,plain,
    ! [SV399: $i,SV168: $i] :
      ( ( ( is_Arr553848933le_alt @ SV168 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV399 ) )
        = $true )
      | ( ( ~ ( ( SV168 != SV399 ) )
          | ~ ! [SY1218: $i] :
                ~ ~ ( ~ ~ ( ~ ( is_fun282293932t_bool @ SY1218 )
                          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY1218 ) @ arrow_1239002508le_Lin ) ) )
                    | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV168 @ SV399 ) ) @ SY1218 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2384]) ).

thf(2534,plain,
    ! [SV542: $i,SV619: $i,SV169: $i,SV400: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV400 @ SV169 ) ) @ ( hAPP_P907763049i_bool @ SV619 @ SV169 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV169 ) @ SV542 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV400 ) @ ( pi_Pro437273841e_indi @ SV542 @ SV619 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2385]) ).

thf(2535,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV543 )
          | ~ ( is_Arr553848933le_alt @ SV620 ) )
        = $true )
      | ( ( ~ ( ( SV543 != SV620 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1394: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1394 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2386]) ).

thf(2536,plain,
    ! [SV405: $i,SV174: $i,SV544: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV544 ) @ SV174 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV405 ) @ SV174 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV405 ) @ SV544 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2387]) ).

thf(2537,plain,
    ! [SV621: $i,SV408: $i,SV545: $i,SV177: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV177 ) @ SV545 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV408 @ SV177 ) ) @ SV621 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV408 ) @ ( pi_boo1877522301le_alt @ SV545 @ ( hAPP_f1520552209t_bool @ cOMBK_697786936l_bool @ SV621 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2388]) ).

thf(2538,plain,
    ! [SV409: $i,SV178: $i] :
      ( ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV178 ) @ SV409 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ SV409 @ SV178 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2389]) ).

thf(2539,plain,
    ! [SV178: $i,SV409: $i] :
      ( ( ( hBOOL @ ( hAPP_f785543729l_bool @ SV409 @ SV178 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV178 ) @ SV409 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2390]) ).

thf(2540,plain,
    ! [SV546: $i,SV622: $i,SV181: $i,SV412: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV412 @ SV181 ) ) @ ( hAPP_f313042899l_bool @ SV622 @ SV181 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV181 ) @ SV546 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV412 ) @ ( pi_fun1494794527l_bool @ SV546 @ SV622 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2391]) ).

thf(2541,plain,
    ! [SV416: $i,SV188: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV188 ) @ SV416 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV416 @ SV188 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2394]) ).

thf(2542,plain,
    ! [SV188: $i,SV416: $i] :
      ( ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV416 @ SV188 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV188 ) @ SV416 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2395]) ).

thf(2543,plain,
    ! [SV547: $i,SV623: $i,SV417: $i,SV189: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV189 )
                | ~ ( is_Arr553848933le_alt @ SV417 ) )
          | ~ ( is_Arr553848933le_alt @ SV623 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                            | ~ ( ( SV417 != SV623 )
                                | ( SV189 != SV417 ) ) )
                      | ~ ( ~ ( ( SV417 != SV623 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                              | ~ ( ( SV417 != SV623 )
                                  | ( SV189 != SV417 ) ) )
                        | ~ ( ~ ( ( SV417 != SV623 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2396]) ).

thf(2544,plain,
    ! [SV624: $i,SV418: $i,SV548: $i,SV190: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV190 ) @ SV548 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV418 @ SV190 ) ) @ ( hAPP_f352490559i_bool @ SV624 @ SV190 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV418 ) @ ( pi_fun972956463e_indi @ SV548 @ SV624 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2397]) ).

thf(2545,plain,
    ! [SV420: $i,SV549: $i,SV192: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV192 ) @ SV549 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV192 ) @ SV420 ) )
        = $true )
      | ( ( SV420 = SV549 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2398]) ).

thf(2546,plain,
    ! [SV625: $i,SV550: $i,SV421: $i,SV193: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV193 )
          | ~ ( is_Arr625519182e_indi @ SV421 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV550 @ SV625 ) )
          | ~ ( ( SV193 != SV421 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV193 ) @ SV625 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV421 ) @ SV625 ) )
          | ( ( hAPP_A588601142di_nat @ SV550 @ SV193 )
           != ( hAPP_A588601142di_nat @ SV550 @ SV421 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2399]) ).

thf(2547,plain,
    ! [SV194: $i] :
      ( ( ( ~ ( ~ ( is_Arr625519182e_indi @ ( sK1_SY969 @ SV194 ) )
              | ~ ( is_Arr625519182e_indi @ ( sK2_SY1395 @ SV194 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV194 @ top_to1256827021i_bool ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2400]) ).

thf(2548,plain,
    ! [SV194: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ SV194 @ ( sK1_SY969 @ SV194 ) )
         != ( hAPP_A588601142di_nat @ SV194 @ ( sK2_SY1395 @ SV194 ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV194 @ top_to1256827021i_bool ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2401]) ).

thf(2549,plain,
    ! [SV194: $i] :
      ( ( ( ( sK1_SY969 @ SV194 )
          = ( sK2_SY1395 @ SV194 ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV194 @ top_to1256827021i_bool ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2401]) ).

thf(2550,plain,
    ! [SV195: $i] :
      ( ( ( ~ ( ( SV195 != top_to1194196741l_bool ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ SV195 ) @ top_to1194196741l_bool ) )
        = $true )
      | ( ( is_fun959573582l_bool @ SV195 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2402]) ).

thf(2551,plain,
    ! [SV195: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ SV195 ) @ top_to1194196741l_bool ) ) )
        = $true )
      | ( ( SV195 != top_to1194196741l_bool )
        = $true )
      | ( ( is_fun959573582l_bool @ SV195 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2403]) ).

thf(2552,plain,
    ! [SV551: $i,SV422: $i,SV196: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV196 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV422 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ( SV196 != SV422 ) )
          | ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) )
                  | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2404]) ).

thf(2553,plain,
    ! [SV626: $i,SV552: $i,SV423: $i,SV197: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV197 )
          | ~ ( is_Arr625519182e_indi @ SV423 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                   != ( hAPP_A588601142di_nat @ SV552 @ SV197 ) )
                  | ( SV423 = SV197 ) )
              | ~ ( ( SV423 != SV197 )
                  | ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                    = ( hAPP_A588601142di_nat @ SV552 @ SV197 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2405]) ).

thf(2554,plain,
    ! [SV627: $i,SV424: $i,SV553: $i,SV199: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV199 ) @ SV553 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV424 @ SV199 ) ) @ SV627 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV424 ) @ ( pi_boo2007389459t_bool @ SV553 @ ( hAPP_f2135750719l_bool @ cOMBK_971068024l_bool @ SV627 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2408]) ).

thf(2555,plain,
    ! [SV628: $i,SV426: $i,SV554: $i,SV201: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV201 ) @ SV554 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV426 @ SV201 ) ) @ SV628 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV426 ) @ ( pi_Arr149813489le_alt @ SV554 @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ SV628 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2409]) ).

thf(2556,plain,
    ! [SV427: $i,SV202: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV202 ) @ SV427 ) ) )
        = $false )
      | ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV427 ) @ SV202 ) )
          | ( SV202 = SV427 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2410]) ).

thf(2557,plain,
    ! [SV202: $i,SV427: $i] :
      ( ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV427 ) @ SV202 ) )
          | ( SV202 = SV427 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV202 ) @ SV427 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2411]) ).

thf(2558,plain,
    ! [SV203: $i] :
      ( ( ( ~ ( ( SV203 != top_to1256827021i_bool ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV203 ) @ top_to1256827021i_bool ) )
        = $true )
      | ( ( is_fun917378774i_bool @ SV203 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2412]) ).

thf(2559,plain,
    ! [SV203: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV203 ) @ top_to1256827021i_bool ) ) )
        = $true )
      | ( ( SV203 != top_to1256827021i_bool )
        = $true )
      | ( ( is_fun917378774i_bool @ SV203 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2413]) ).

thf(2560,plain,
    ! [SV629: $i,SV428: $i,SV555: $i,SV204: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV204 ) @ SV555 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV428 @ SV204 ) ) @ SV629 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV428 ) @ ( pi_fun1494794527l_bool @ SV555 @ ( hAPP_f219827985l_bool @ cOMBK_886533338t_bool @ SV629 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2414]) ).

thf(2561,plain,
    ! [SV429: $i,SV205: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV205 ) @ SV429 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ SV429 @ SV205 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2415]) ).

thf(2562,plain,
    ! [SV205: $i,SV429: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ SV429 @ SV205 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV205 ) @ SV429 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2416]) ).

thf(2563,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) )
          | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2417]) ).

thf(2564,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) )
          | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2418]) ).

thf(2565,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $false )
      | ( ( ! [SY1245: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1245 )
              | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1245 ) @ SV431 ) )
              | ! [SY1246: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1246 )
                  | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1246 ) @ SV431 ) )
                  | ( ( hAPP_A588601142di_nat @ SV208 @ SY1245 )
                   != ( hAPP_A588601142di_nat @ SV208 @ SY1246 ) )
                  | ( SY1245 = SY1246 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2419]) ).

thf(2566,plain,
    ! [SV208: $i,SV431: $i] :
      ( ( ( ! [SY1247: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1247 )
              | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1247 ) @ SV431 ) )
              | ! [SY1248: $i] :
                  ( ~ ( is_Arr625519182e_indi @ SY1248 )
                  | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1248 ) @ SV431 ) )
                  | ( ( hAPP_A588601142di_nat @ SV208 @ SY1247 )
                   != ( hAPP_A588601142di_nat @ SV208 @ SY1248 ) )
                  | ( SY1247 = SY1248 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2420]) ).

thf(2567,plain,
    ! [SV432: $i,SV209: $i,SV556: $i] :
      ( ( ( SV556 = SV209 )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV432 ) @ SV209 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV432 ) @ SV556 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2421]) ).

thf(2568,plain,
    ! [SV212: $i,SV435: $i] :
      ( ( ( ~ ! [SY1250: $i] :
                ( ( hAPP_A588601142di_nat @ SV435 @ ( hAPP_n385347014e_indi @ SV212 @ SY1250 ) )
                = SY1250 ) )
        = $true )
      | ( ( ( hilber1792103167di_nat @ top_to1256827021i_bool @ SV435 )
          = SV212 )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV435 @ top_to1256827021i_bool ) )
        = $false )
      | ( ( is_fun1016509681e_indi @ SV212 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2422]) ).

thf(2569,plain,
    ! [SV213: $i,SV658: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
          | ! [SY1415: $i] :
              ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1415 ) @ arrow_413697182e_Prof ) )
              | ! [SY1416: $i,SY1417: $i] :
                  ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1416 )
                        | ~ ( is_Arr553848933le_alt @ SY1417 ) )
                  | ~ ! [SY1418: $i] :
                        ( ~ ( is_Arr625519182e_indi @ SY1418 )
                        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1418 ) ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_A1374816149t_bool @ SY1415 @ SY1418 ) ) ) )
                            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_A1374816149t_bool @ SY1415 @ SY1418 ) ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1418 ) ) ) ) ) )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1415 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1415 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2423]) ).

thf(2570,plain,
    ! [SV213: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( sK6_SY1005 @ SV213 ) ) @ arrow_413697182e_Prof ) )
          | ! [SY1419: $i] :
              ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1419 ) @ arrow_413697182e_Prof ) )
              | ! [SY1420: $i,SY1421: $i] :
                  ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1420 )
                        | ~ ( is_Arr553848933le_alt @ SY1421 ) )
                  | ~ ! [SY1422: $i] :
                        ( ~ ( is_Arr625519182e_indi @ SY1422 )
                        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1420 @ SY1421 ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SY1422 ) ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1420 @ SY1421 ) ) @ ( hAPP_A1374816149t_bool @ SY1419 @ SY1422 ) ) ) )
                            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1420 @ SY1421 ) ) @ ( hAPP_A1374816149t_bool @ SY1419 @ SY1422 ) ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1420 @ SY1421 ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SY1422 ) ) ) ) ) )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1420 @ SY1421 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1420 @ SY1421 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1419 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1420 @ SY1421 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1419 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1420 @ SY1421 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2424]) ).

thf(2571,plain,
    ! [SV214: $i,SV436: $i,SV557: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV557 ) @ SV436 ) )
        = $false )
      | ( ( hBOOL @ SV214 )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV436 ) @ SV557 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2425]) ).

thf(2572,plain,
    ! [SV437: $i,SV215: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV215 ) @ SV437 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV437 ) @ SV215 ) )
        = $true )
      | ( ( SV215 = SV437 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2426]) ).

thf(2573,plain,
    ! [SV630: $i,SV439: $i,SV558: $i,SV218: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV218 ) @ SV558 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV439 @ SV218 ) ) @ SV630 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV439 ) @ ( pi_Pro2135156861t_bool @ SV558 @ ( hAPP_f1724001331l_bool @ cOMBK_2008994872le_alt @ SV630 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2429]) ).

thf(2574,plain,
    ! [SV219: $i,SV440: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( sK7_SY1254 @ SV440 @ SV219 ) ) @ arrow_413697182e_Prof ) )
          | ! [SY1423: $i,SY1424: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1423 )
                    | ~ ( is_Arr553848933le_alt @ SY1424 ) )
              | ~ ( ( SY1423 != SY1424 ) )
              | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1423 @ SY1424 ) ) @ ( hAPP_A1374816149t_bool @ ( sK7_SY1254 @ SV440 @ SV219 ) @ SV219 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1423 @ SY1424 ) ) @ ( hAPP_f695124765t_bool @ SV440 @ ( sK7_SY1254 @ SV440 @ SV219 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2430]) ).

thf(2575,plain,
    ! [SV559: $i,SV631: $i,SV220: $i,SV441: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV441 @ SV220 ) ) @ ( hAPP_P2127852789l_bool @ SV631 @ SV220 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV220 ) @ SV559 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV441 ) @ ( pi_Pro2135156861t_bool @ SV559 @ SV631 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2431]) ).

thf(2576,plain,
    ! [SV442: $i,SV221: $i,SV560: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV560 ) @ SV221 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV442 ) @ SV221 ) )
        = $true )
      | ( ( SV442 = SV560 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2432]) ).

thf(2577,plain,
    ! [SV561: $i,SV632: $i,SV224: $i,SV445: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV445 @ SV224 ) ) @ ( hAPP_f355113919i_bool @ SV632 @ SV224 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV224 ) @ SV561 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV445 ) @ ( pi_fun2075749915e_indi @ SV561 @ SV632 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2433]) ).

thf(2578,plain,
    ! [SV562: $i,SV446: $i,SV225: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV225 ) )
        = $true )
      | ( ( ~ ( is_Arr625519182e_indi @ SV446 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV562 @ top_to1256827021i_bool ) )
          | ( ( hAPP_A588601142di_nat @ SV562 @ SV225 )
           != ( hAPP_A588601142di_nat @ SV562 @ SV446 ) )
          | ( SV225 = SV446 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2434]) ).

thf(2579,plain,
    ! [SV633: $i,SV447: $i,SV563: $i,SV226: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV226 ) @ SV563 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV447 @ SV226 ) ) @ ( hAPP_b1965422783l_bool @ SV633 @ SV226 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV447 ) @ ( pi_boo2007389459t_bool @ SV563 @ SV633 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2435]) ).

thf(2580,plain,
    ! [SV448: $i,SV227: $i] :
      ( ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV227 ) @ SV448 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_bool_bool @ SV448 @ SV227 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2436]) ).

thf(2581,plain,
    ! [SV227: $i,SV448: $i] :
      ( ( ( hBOOL @ ( hAPP_bool_bool @ SV448 @ SV227 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV227 ) @ SV448 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2437]) ).

thf(2582,plain,
    ! [SV634: $i,SV564: $i,SV449: $i,SV228: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV228 )
                      | ~ ( is_Arr553848933le_alt @ SV449 ) )
                | ~ ( is_Arr553848933le_alt @ SV564 ) )
          | ~ ( is_Arr553848933le_alt @ SV634 ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( produc171383831le_alt @ SV228 @ SV449 )
                   != ( produc171383831le_alt @ SV564 @ SV634 ) )
                  | ~ ( ( SV228 != SV564 )
                      | ( SV449 != SV634 ) ) )
              | ~ ( ~ ~ ( ( SV228 != SV564 )
                        | ( SV449 != SV634 ) )
                  | ( ( produc171383831le_alt @ SV228 @ SV449 )
                    = ( produc171383831le_alt @ SV564 @ SV634 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2438]) ).

thf(2583,plain,
    ! [SV229: $i,SV565: $i,SV450: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV450 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV565 ) )
        = $true )
      | ( ( ~ ( ( SV450 != SV565 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV229 ) @ arrow_1239002508le_Lin ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV229 ) @ SV450 ) @ SV565 ) ) @ arrow_1239002508le_Lin ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2439]) ).

thf(2584,plain,
    ! [SV566: $i,SV635: $i,SV230: $i,SV451: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV451 @ SV230 ) ) @ ( hAPP_b1719629739l_bool @ SV635 @ SV230 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV230 ) @ SV566 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV451 ) @ ( pi_boo691944735t_bool @ SV566 @ SV635 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2440]) ).

thf(2585,plain,
    ! [SV636: $i,SV453: $i,SV567: $i,SV232: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV232 ) @ SV567 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV453 @ SV232 ) ) @ SV636 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV453 ) @ ( pi_fun1727820731l_bool @ SV567 @ ( hAPP_f1667233577l_bool @ cOMBK_1015076504t_bool @ SV636 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2441]) ).

thf(2586,plain,
    ! [SV235: $i] :
      ( ( ( ~ ( ( SV235 != top_to2005687013l_bool ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ SV235 ) @ top_to2005687013l_bool ) )
        = $true )
      | ( ( is_fun432044380l_bool @ SV235 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2442]) ).

thf(2587,plain,
    ! [SV235: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ SV235 ) @ top_to2005687013l_bool ) ) )
        = $true )
      | ( ( SV235 != top_to2005687013l_bool )
        = $true )
      | ( ( is_fun432044380l_bool @ SV235 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2443]) ).

thf(2588,plain,
    ! [SV236: $i,SV456: $i,SV653: $i,SV637: $i,SV568: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV568 )
                    | ~ ( is_Arr553848933le_alt @ SV637 ) )
              | ~ ( is_Arr553848933le_alt @ SV653 ) ) )
        = $false )
      | ( ( ~ ( ( SV637 != SV653 ) )
          | ~ ( ( SV653 != SV568 ) )
          | ~ ( ( SV637 != SV568 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2444]) ).

thf(2589,plain,
    ! [SV638: $i,SV459: $i,SV569: $i,SV239: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV239 ) @ SV569 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV459 @ SV239 ) ) @ SV638 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV459 ) @ ( pi_fun1736243859e_indi @ SV569 @ ( hAPP_f681113465i_bool @ cOMBK_454107598t_bool @ SV638 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2445]) ).

thf(2590,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
          | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2446]) ).

thf(2591,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
          | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2447]) ).

thf(2592,plain,
    ! [SV242: $i,SV570: $i,SV461: $i] :
      ( ( ( hBOOL @ ( inj_on24934938di_nat @ SV461 @ SV570 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV242 ) @ SV570 ) )
          | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SV570 @ SV461 ) @ ( hAPP_A588601142di_nat @ SV461 @ SV242 ) )
            = SV242 ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV242 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2448]) ).

thf(2593,plain,
    ! [SV639: $i,SV462: $i,SV571: $i,SV243: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV243 ) @ SV571 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV462 @ SV243 ) ) @ ( hAPP_b1719629739l_bool @ SV639 @ SV243 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV462 ) @ ( pi_boo691944735t_bool @ SV571 @ SV639 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2449]) ).

thf(2594,plain,
    ! [SV640: $i,SV466: $i,SV572: $i,SV247: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV247 ) @ SV572 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV466 @ SV247 ) ) @ ( hAPP_P907763049i_bool @ SV640 @ SV247 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV466 ) @ ( pi_Pro437273841e_indi @ SV572 @ SV640 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2450]) ).

thf(2595,plain,
    ! [SV641: $i,SV467: $i,SV573: $i,SV248: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV248 ) @ SV573 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV467 @ SV248 ) ) @ ( hAPP_A1964572607l_bool @ SV641 @ SV248 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV467 ) @ ( pi_Arr372473371t_bool @ SV573 @ SV641 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2451]) ).

thf(2596,plain,
    ! [SV574: $i,SV642: $i,SV249: $i,SV468: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV468 @ SV249 ) ) @ ( hAPP_f417299659l_bool @ SV642 @ SV249 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV249 ) @ SV574 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV468 ) @ ( pi_fun1727820731l_bool @ SV574 @ SV642 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2452]) ).

thf(2597,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( ~ ( is_fun282293932t_bool @ SV471 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ! [SY1287: $i,SY1288: $i] :
                        ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1287 )
                              | ~ ( is_Arr553848933le_alt @ SY1288 ) )
                        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) ) )
                            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) ) ) ) )
                  | ( SV471 = SV252 ) )
              | ~ ( ( SV471 != SV252 )
                  | ! [SY1289: $i,SY1290: $i] :
                      ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1289 )
                            | ~ ( is_Arr553848933le_alt @ SY1290 ) )
                      | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) ) )
                          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2453]) ).

thf(2598,plain,
    ! [SV643: $i,SV474: $i,SV575: $i,SV256: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV256 ) @ SV575 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV474 @ SV256 ) ) @ SV643 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV474 ) @ ( pi_Arr688267935t_bool @ SV575 @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ SV643 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2454]) ).

thf(2599,plain,
    ! [SV576: $i,SV257: $i,SV475: $i] :
      ( ( ( SV475 = SV257 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV257 ) @ SV576 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV475 ) @ SV576 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2455]) ).

thf(2600,plain,
    ! [SV644: $i,SV477: $i,SV577: $i,SV260: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV260 ) @ SV577 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV477 @ SV260 ) ) @ ( hAPP_A1912483895l_bool @ SV644 @ SV260 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV477 ) @ ( pi_Arr1511953043t_bool @ SV577 @ SV644 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2456]) ).

thf(2601,plain,
    ! [SV261: $i] :
      ( ( ( ~ ( ( SV261 != top_to40512653l_bool ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ SV261 ) @ top_to40512653l_bool ) )
        = $true )
      | ( ( is_fun631676118l_bool @ SV261 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2457]) ).

thf(2602,plain,
    ! [SV261: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ SV261 ) @ top_to40512653l_bool ) ) )
        = $true )
      | ( ( SV261 != top_to40512653l_bool )
        = $true )
      | ( ( is_fun631676118l_bool @ SV261 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2458]) ).

thf(2603,plain,
    ! [SV645: $i,SV479: $i,SV578: $i,SV263: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV263 ) @ SV578 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV479 @ SV263 ) ) @ SV645 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV479 ) @ ( pi_boo691944735t_bool @ SV578 @ ( hAPP_f371807573l_bool @ cOMBK_697604314l_bool @ SV645 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2459]) ).

thf(2604,plain,
    ! [SV579: $i,SV480: $i,SV264: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV264 ) @ SV480 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV264 ) @ SV579 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV480 ) @ SV579 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2460]) ).

thf(2605,plain,
    ! [SV646: $i,SV481: $i,SV580: $i,SV265: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV265 ) @ SV580 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV481 @ SV265 ) ) @ ( hAPP_f417299659l_bool @ SV646 @ SV265 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV481 ) @ ( pi_fun1727820731l_bool @ SV580 @ SV646 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2461]) ).

thf(2606,plain,
    ! [SV581: $i,SV268: $i,SV483: $i] :
      ( ( ( SV483 = SV268 )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV268 ) @ SV581 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV483 ) @ SV581 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2464]) ).

thf(2607,plain,
    ! [SV647: $i,SV484: $i,SV582: $i,SV269: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV269 ) @ SV582 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV484 @ SV269 ) ) @ SV647 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV484 ) @ ( pi_Pro437273841e_indi @ SV582 @ ( hAPP_f1970593179i_bool @ cOMBK_100791596le_alt @ SV647 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2465]) ).

thf(2608,plain,
    ! [SV648: $i,SV486: $i,SV583: $i,SV271: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV271 ) @ SV583 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV486 @ SV271 ) ) @ SV648 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV486 ) @ ( pi_boo71521447t_bool @ SV583 @ ( hAPP_f448497509l_bool @ cOMBK_1268833122l_bool @ SV648 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2467]) ).

thf(2609,plain,
    ! [SV584: $i,SV314: $i,SV498: $i,SV73: $i] :
      ( ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV73 ) @ SV498 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV314 @ SV73 ) ) @ ( hAPP_b1024867081t_bool @ SV584 @ SV73 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV314 ) @ ( pi_boo1877522301le_alt @ SV498 @ SV584 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2468]) ).

thf(2610,plain,
    ! [SV585: $i,SV317: $i,SV499: $i,SV76: $i] :
      ( ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV76 ) @ SV499 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV317 @ SV76 ) ) @ ( hAPP_b990649139l_bool @ SV585 @ SV76 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV317 ) @ ( pi_boo71521447t_bool @ SV499 @ SV585 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2469]) ).

thf(2611,plain,
    ! [SV500: $i,SV586: $i,SV77: $i,SV318: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV318 @ SV77 ) ) @ ( hAPP_f749892423i_bool @ SV586 @ SV77 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV77 ) @ SV500 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV318 ) @ ( pi_fun1736243859e_indi @ SV500 @ SV586 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2470]) ).

thf(2612,plain,
    ! [SV78: $i,SV319: $i,SV654: $i,SV649: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV501 )
                          | ~ ( is_Arr553848933le_alt @ SV587 ) )
                    | ~ ( is_Arr553848933le_alt @ SV649 ) )
              | ~ ( is_Arr553848933le_alt @ SV654 ) ) )
        = $false )
      | ( ( ~ ( ( SV649 != SV654 ) )
          | ~ ( ( SV501 != SV587 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2471]) ).

thf(2613,plain,
    ! [SV80: $i,SV320: $i] :
      ( ( ( is_Arr625519182e_indi @ SV320 )
        = $false )
      | ( ( is_fun917378774i_bool @ SV80 )
        = $false )
      | ( ( is_bool @ ( hAPP_A1466488369i_bool @ SV80 @ SV320 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2472]) ).

thf(2614,plain,
    ! [SV588: $i,SV321: $i,SV502: $i,SV81: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV81 ) @ SV502 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV321 @ SV81 ) ) @ SV588 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV321 ) @ ( pi_fun433100839t_bool @ SV502 @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ SV588 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2473]) ).

thf(2615,plain,
    ! [SV84: $i,SV324: $i] :
      ( ( ( is_fun282293932t_bool @ SV324 )
        = $false )
      | ( ( is_fun432044380l_bool @ SV84 )
        = $false )
      | ( ( is_bool @ ( hAPP_f745298353l_bool @ SV84 @ SV324 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2474]) ).

thf(2616,plain,
    ! [SV589: $i,SV325: $i,SV503: $i,SV85: $i] :
      ( ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV85 ) @ SV503 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV325 @ SV85 ) ) @ SV589 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV325 ) @ ( pi_fun2075749915e_indi @ SV503 @ ( hAPP_f1677452273i_bool @ cOMBK_1372975190t_bool @ SV589 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2475]) ).

thf(2617,plain,
    ! [SV86: $i,SV326: $i,SV590: $i,SV504: $i] :
      ( ( ( hBOOL @ ( inj_on24934938di_nat @ SV504 @ SV590 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV326 ) @ SV590 ) )
          | ( ( hAPP_A588601142di_nat @ SV504 @ SV326 )
           != SV86 )
          | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SV590 @ SV504 ) @ SV86 )
            = SV326 ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV326 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2476]) ).

thf(2618,plain,
    ! [SV505: $i,SV591: $i,SV327: $i,SV87: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV87 )
                | ~ ( is_Arr553848933le_alt @ SV327 ) ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV591 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                            | ~ ( ( SV87 != SV591 )
                                | ( SV87 != SV327 ) ) )
                      | ~ ( ~ ( ( SV87 != SV591 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                              | ~ ( ( SV87 != SV591 )
                                  | ( SV87 != SV327 ) ) )
                        | ~ ( ~ ( ( SV87 != SV591 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2477]) ).

thf(2619,plain,
    ! [SV506: $i,SV91: $i,SV331: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV331 @ SV91 ) ) @ SV506 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV91 @ SV331 ) ) @ SV506 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV506 ) @ arrow_1239002508le_Lin ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2478]) ).

thf(2620,plain,
    ! [SV507: $i,SV592: $i,SV92: $i,SV332: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV332 @ SV92 ) ) @ ( hAPP_b1965422783l_bool @ SV592 @ SV92 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV92 ) @ SV507 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV332 ) @ ( pi_boo2007389459t_bool @ SV507 @ SV592 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2479]) ).

thf(2621,plain,
    ! [SV509: $i,SV593: $i,SV96: $i,SV335: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV335 @ SV96 ) ) @ ( hAPP_A1374816149t_bool @ SV593 @ SV96 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV96 ) @ SV509 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV335 ) @ ( pi_Arr149813489le_alt @ SV509 @ SV593 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2481]) ).

thf(2622,plain,
    ! [SV510: $i,SV594: $i,SV97: $i,SV336: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV336 @ SV97 ) ) @ ( hAPP_b990649139l_bool @ SV594 @ SV97 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV97 ) @ SV510 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV336 ) @ ( pi_boo71521447t_bool @ SV510 @ SV594 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2482]) ).

thf(2623,plain,
    ! [SV595: $i,SV337: $i,SV511: $i,SV98: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV98 ) @ SV511 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV337 @ SV98 ) ) @ SV595 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV337 ) @ ( pi_Arr1511953043t_bool @ SV511 @ ( hAPP_f813556705l_bool @ cOMBK_116240846e_indi @ SV595 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2483]) ).

thf(2624,plain,
    ! [SV596: $i,SV339: $i,SV512: $i,SV100: $i] :
      ( ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV100 ) @ SV512 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV339 @ SV100 ) ) @ ( hAPP_f355113919i_bool @ SV596 @ SV100 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV339 ) @ ( pi_fun2075749915e_indi @ SV512 @ SV596 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2484]) ).

thf(2625,plain,
    ! [SV597: $i,SV340: $i,SV513: $i,SV101: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV101 ) @ SV513 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV340 @ SV101 ) ) @ ( hAPP_f749892423i_bool @ SV597 @ SV101 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV340 ) @ ( pi_fun1736243859e_indi @ SV513 @ SV597 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2485]) ).

thf(2626,plain,
    ! [SV598: $i,SV341: $i,SV514: $i,SV102: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV102 ) @ SV514 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV341 @ SV102 ) ) @ ( hAPP_A1374816149t_bool @ SV598 @ SV102 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV341 ) @ ( pi_Arr149813489le_alt @ SV514 @ SV598 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2486]) ).

thf(2627,plain,
    ! [SV106: $i,SV345: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV345 ) @ SV106 ) )
          | ( SV345 = SV106 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV106 ) @ SV345 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2488]) ).

thf(2628,plain,
    ! [SV106: $i,SV345: $i] :
      ( ( ( ( SV345 != SV106 )
          | ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV345 ) @ SV106 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV106 ) @ SV345 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2489]) ).

thf(2629,plain,
    ! [SV599: $i,SV516: $i,SV346: $i,SV107: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV107 )
                      | ~ ( is_Arr553848933le_alt @ SV346 ) )
                | ~ ( is_Arr553848933le_alt @ SV516 ) ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV599 ) )
        = $true )
      | ( ( ( ( produc171383831le_alt @ SV107 @ SV346 )
           != ( produc171383831le_alt @ SV516 @ SV599 ) )
          | ~ ( ( SV107 != SV516 )
              | ( SV346 != SV599 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2490]) ).

thf(2630,plain,
    ! [SV600: $i,SV348: $i,SV517: $i,SV109: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV109 ) @ SV517 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV348 @ SV109 ) ) @ SV600 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV348 ) @ ( pi_Arr372473371t_bool @ SV517 @ ( hAPP_f1697527281l_bool @ cOMBK_1292462166e_indi @ SV600 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2491]) ).

thf(2631,plain,
    ! [SV518: $i,SV601: $i,SV112: $i,SV351: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV351 @ SV112 ) ) @ ( hAPP_f497468491l_bool @ SV601 @ SV112 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV112 ) @ SV518 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV351 ) @ ( pi_fun525942951l_bool @ SV518 @ SV601 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2494]) ).

thf(2632,plain,
    ! [SV519: $i,SV650: $i,SV602: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV113 )
                      | ~ ( is_Arr553848933le_alt @ SV352 ) )
                | ~ ( is_Arr553848933le_alt @ SV602 ) )
          | ~ ( is_Arr553848933le_alt @ SV650 ) )
        = $true )
      | ( ( ~ ( ( SV602 != SV650 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                            | ~ ( ( SV113 != SV650 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                      | ~ ( ~ ( ( SV113 != SV650 ) )
                          | ~ ( ~ ( ( SV352 != SV650 )
                                  | ( SV113 = SV602 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                              | ~ ( ~ ( ( SV352 != SV650 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SV650 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SV650 ) )
                            | ~ ( ~ ( ( SV352 != SV650 )
                                    | ( SV113 = SV602 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                                | ~ ( ~ ( ( SV352 != SV650 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2495]) ).

thf(2633,plain,
    ! [SV520: $i,SV603: $i,SV114: $i,SV353: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV353 @ SV114 ) ) @ ( hAPP_f352490559i_bool @ SV603 @ SV114 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV114 ) @ SV520 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV353 ) @ ( pi_fun972956463e_indi @ SV520 @ SV603 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2496]) ).

thf(2634,plain,
    ! [SV604: $i,SV356: $i,SV521: $i,SV118: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV118 ) @ SV521 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV356 @ SV118 ) ) @ ( hAPP_P2127852789l_bool @ SV604 @ SV118 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV356 ) @ ( pi_Pro2135156861t_bool @ SV521 @ SV604 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2497]) ).

thf(2635,plain,
    ! [SV119: $i] :
      ( ( ( SV119 != top_to2034604131t_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ SV119 ) @ top_to2034604131t_bool ) )
        = $true )
      | ( ( is_fun282293932t_bool @ SV119 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2498]) ).

thf(2636,plain,
    ! [SV119: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ SV119 ) @ top_to2034604131t_bool ) )
        = $false )
      | ( ( SV119 != top_to2034604131t_bool )
        = $true )
      | ( ( is_fun282293932t_bool @ SV119 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2499]) ).

thf(2637,plain,
    ! [SV358: $i,SV121: $i] :
      ( ( ( SV121 = SV358 )
        = $true )
      | ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV121 ) @ SV358 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV358 ) @ SV121 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2500]) ).

thf(2638,plain,
    ! [SV358: $i,SV121: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV121 ) @ SV358 ) )
        = $false )
      | ( ( SV121 != SV358 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2501]) ).

thf(2639,plain,
    ! [SV121: $i,SV358: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV358 ) @ SV121 ) )
        = $false )
      | ( ( SV121 != SV358 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2501]) ).

thf(2640,plain,
    ! [SV522: $i,SV605: $i,SV123: $i,SV359: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV359 @ SV123 ) ) @ ( hAPP_A1944296755l_bool @ SV605 @ SV123 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV123 ) @ SV522 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV359 ) @ ( pi_Arr688267935t_bool @ SV522 @ SV605 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2502]) ).

thf(2641,plain,
    ! [SV606: $i,SV361: $i,SV523: $i,SV125: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV125 ) @ SV523 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV361 @ SV125 ) ) @ ( hAPP_f861484971l_bool @ SV606 @ SV125 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV361 ) @ ( pi_fun433100839t_bool @ SV523 @ SV606 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2503]) ).

thf(2642,plain,
    ! [SV607: $i,SV362: $i,SV524: $i,SV126: $i] :
      ( ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV126 ) @ SV524 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV362 @ SV126 ) ) @ SV607 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV362 ) @ ( pi_fun525942951l_bool @ SV524 @ ( hAPP_f1235573641l_bool @ cOMBK_1072228194t_bool @ SV607 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2504]) ).

thf(2643,plain,
    ! [SV127: $i,SV363: $i,SV655: $i,SV651: $i,SV608: $i,SV525: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV525 )
                          | ~ ( is_Arr553848933le_alt @ SV608 ) )
                    | ~ ( is_Arr553848933le_alt @ SV651 ) )
              | ~ ( is_Arr553848933le_alt @ SV655 ) ) )
        = $false )
      | ( ( ~ ( ( SV651 != SV655 ) )
          | ~ ( ( SV525 != SV608 ) )
          | ~ ( ( SV651 != SV608 ) )
          | ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2505]) ).

thf(2644,plain,
    ! [SV526: $i,SV609: $i,SV128: $i,SV364: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV364 @ SV128 ) ) @ ( hAPP_b1024867081t_bool @ SV609 @ SV128 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV128 ) @ SV526 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV364 ) @ ( pi_boo1877522301le_alt @ SV526 @ SV609 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2506]) ).

thf(2645,plain,
    ! [SV132: $i,SV659: $i] :
      ( ( ( ! [SY1425: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV659 )
                    | ~ ( is_Arr553848933le_alt @ SY1425 ) )
              | ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ SV659 @ SY1425 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( sK3_SY855 @ SV132 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2508]) ).

thf(2646,plain,
    ! [SV132: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ ( sK4_SY858 @ SV132 ) )
                | ~ ( is_Arr553848933le_alt @ ( sK8_SY1408 @ SV132 ) ) )
          | ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ ( sK4_SY858 @ SV132 ) @ ( sK8_SY1408 @ SV132 ) ) ) ) )
        = $false )
      | ( ( ! [SY860: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY860 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2509]) ).

thf(2647,plain,
    ! [SV133: $i,SV368: $i,SV656: $i,SV652: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV528 )
                          | ~ ( is_Arr553848933le_alt @ SV610 ) )
                    | ~ ( is_Arr553848933le_alt @ SV652 ) )
              | ~ ( is_Arr553848933le_alt @ SV656 ) ) )
        = $false )
      | ( ( ~ ( ( SV652 != SV656 ) )
          | ~ ( ( SV528 != SV610 ) )
          | ~ ( ( SV652 != SV610 ) )
          | ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2510]) ).

thf(2648,plain,
    ! [SV611: $i,SV374: $i,SV530: $i,SV140: $i] :
      ( ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV140 ) @ SV530 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV374 @ SV140 ) ) @ ( hAPP_f497468491l_bool @ SV611 @ SV140 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV374 ) @ ( pi_fun525942951l_bool @ SV530 @ SV611 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2512]) ).

thf(2649,plain,
    ! [SV376: $i,SV142: $i,SV660: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV660 ) @ arrow_413697182e_Prof ) )
          | ( ( hAPP_f695124765t_bool @ SV142 @ SV660 )
            = ( hAPP_A1374816149t_bool @ SV660 @ SV376 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV142 ) @ SV376 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2513]) ).

thf(2650,plain,
    ! [SV142: $i,SV376: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( sK9_SY1199 @ SV376 @ SV142 ) ) @ arrow_413697182e_Prof ) )
          | ( ( hAPP_f695124765t_bool @ SV142 @ ( sK9_SY1199 @ SV376 @ SV142 ) )
            = ( hAPP_A1374816149t_bool @ ( sK9_SY1199 @ SV376 @ SV142 ) @ SV376 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV142 ) @ SV376 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2514]) ).

thf(2651,plain,
    ! [SV143: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ SV143 )
              | ( hBOOL @ top_top_bool ) )
          | ~ ( ~ ( hBOOL @ top_top_bool )
              | ( hBOOL @ SV143 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2515]) ).

thf(2652,plain,
    ! [SV143: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ SV143 )
              | ( hBOOL @ top_top_bool ) )
          | ~ ( ~ ( hBOOL @ top_top_bool )
              | ( hBOOL @ SV143 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2516]) ).

thf(2653,plain,
    ! [SV612: $i,SV378: $i,SV531: $i,SV145: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV145 ) @ SV531 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV378 @ SV145 ) ) @ ( hAPP_A1944296755l_bool @ SV612 @ SV145 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV378 ) @ ( pi_Arr688267935t_bool @ SV531 @ SV612 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2517]) ).

thf(2654,plain,
    ! [SV532: $i,SV613: $i,SV147: $i,SV379: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV379 @ SV147 ) ) @ ( hAPP_A1912483895l_bool @ SV613 @ SV147 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV147 ) @ SV532 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV379 ) @ ( pi_Arr1511953043t_bool @ SV532 @ SV613 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2518]) ).

thf(2655,plain,
    ! [SV380: $i,SV148: $i,SV533: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ SV533 @ SV148 )
         != SV380 )
        = $true )
      | ( ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ SV533 ) @ SV380 )
          = SV148 )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV533 @ top_to1256827021i_bool ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV148 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2519]) ).

thf(2656,plain,
    ! [SV382: $i,SV150: $i] :
      ( ( ( SV150 = SV382 )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV382 ) @ SV150 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV150 ) @ SV382 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2520]) ).

thf(2657,plain,
    ! [SV534: $i,SV614: $i,SV153: $i,SV385: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV385 @ SV153 ) ) @ ( hAPP_A1964572607l_bool @ SV614 @ SV153 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV153 ) @ SV534 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV385 ) @ ( pi_Arr372473371t_bool @ SV534 @ SV614 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2521]) ).

thf(2658,plain,
    ! [SV535: $i,SV615: $i,SV155: $i,SV387: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV387 @ SV155 ) ) @ ( hAPP_f861484971l_bool @ SV615 @ SV155 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV155 ) @ SV535 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV387 ) @ ( pi_fun433100839t_bool @ SV535 @ SV615 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2522]) ).

thf(2659,plain,
    ! [SV616: $i,SV389: $i,SV536: $i,SV157: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV157 ) @ SV536 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV389 @ SV157 ) ) @ ( hAPP_f313042899l_bool @ SV616 @ SV157 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV389 ) @ ( pi_fun1494794527l_bool @ SV536 @ SV616 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2525]) ).

thf(2660,plain,
    ! [SV617: $i,SV537: $i,SV390: $i,SV158: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV158 ) )
        = $true )
      | ( ( ~ ( is_Arr625519182e_indi @ SV390 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV537 @ SV617 ) )
          | ( ( hAPP_A588601142di_nat @ SV537 @ SV158 )
           != ( hAPP_A588601142di_nat @ SV537 @ SV390 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV158 ) @ SV617 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV390 ) @ SV617 ) )
          | ( SV158 = SV390 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2526]) ).

thf(2661,plain,
    ! [SV618: $i,SV391: $i,SV538: $i,SV159: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV159 ) @ SV538 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV391 @ SV159 ) ) @ SV618 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV391 ) @ ( pi_fun972956463e_indi @ SV538 @ ( hAPP_f1903519657i_bool @ cOMBK_2076140708t_bool @ SV618 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2527]) ).

thf(2662,plain,
    ! [SV539: $i,SV392: $i,SV160: $i] :
      ( ( ( is_Arr625519182e_indi @ SV160 )
        = $false )
      | ( ( ~ ( is_Arr625519182e_indi @ SV392 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV539 @ top_to1256827021i_bool ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
                   != ( hAPP_A588601142di_nat @ SV539 @ SV392 ) )
                  | ( SV160 = SV392 ) )
              | ~ ( ( SV160 != SV392 )
                  | ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
                    = ( hAPP_A588601142di_nat @ SV539 @ SV392 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2528]) ).

thf(2663,plain,
    ! [SV162: $i,SV657: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV657 ) @ arrow_413697182e_Prof ) ) )
        = $true )
      | ( ( ! [SY1409: $i,SY1410: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1409 )
                    | ~ ( is_Arr553848933le_alt @ SY1410 ) )
              | ~ ! [SY1411: $i] :
                    ( ~ ( is_Arr625519182e_indi @ SY1411 )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1409 @ SY1410 ) ) @ ( hAPP_A1374816149t_bool @ SV657 @ SY1411 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1409 @ SY1410 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SV657 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2529]) ).

thf(2664,plain,
    ! [SV162: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( sK5_SY917 @ SV162 ) ) @ arrow_413697182e_Prof ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2530]) ).

thf(2665,plain,
    ! [SV162: $i] :
      ( ( ( ! [SY1412: $i,SY1413: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1412 )
                    | ~ ( is_Arr553848933le_alt @ SY1413 ) )
              | ~ ! [SY1414: $i] :
                    ( ~ ( is_Arr625519182e_indi @ SY1414 )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1412 @ SY1413 ) ) @ ( hAPP_A1374816149t_bool @ ( sK5_SY917 @ SV162 ) @ SY1414 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1412 @ SY1413 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ ( sK5_SY917 @ SV162 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2530]) ).

thf(2666,plain,
    ! [SV168: $i,SV399: $i] :
      ( ( ( is_Arr553848933le_alt @ SV399 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV168 )
        = $false )
      | ( ( ~ ( ( SV168 != SV399 ) )
          | ~ ! [SY1218: $i] :
                ~ ~ ( ~ ~ ( ~ ( is_fun282293932t_bool @ SY1218 )
                          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY1218 ) @ arrow_1239002508le_Lin ) ) )
                    | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV168 @ SV399 ) ) @ SY1218 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2533]) ).

thf(2667,plain,
    ! [SV542: $i,SV619: $i,SV169: $i,SV400: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV400 @ SV169 ) ) @ ( hAPP_P907763049i_bool @ SV619 @ SV169 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV169 ) @ SV542 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV400 ) @ ( pi_Pro437273841e_indi @ SV542 @ SV619 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2534]) ).

thf(2668,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV543 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV620 ) )
        = $true )
      | ( ( ~ ( ( SV543 != SV620 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1394: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1394 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2535]) ).

thf(2669,plain,
    ! [SV621: $i,SV408: $i,SV545: $i,SV177: $i] :
      ( ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV177 ) @ SV545 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV408 @ SV177 ) ) @ SV621 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV408 ) @ ( pi_boo1877522301le_alt @ SV545 @ ( hAPP_f1520552209t_bool @ cOMBK_697786936l_bool @ SV621 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2537]) ).

thf(2670,plain,
    ! [SV546: $i,SV622: $i,SV181: $i,SV412: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV412 @ SV181 ) ) @ ( hAPP_f313042899l_bool @ SV622 @ SV181 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV181 ) @ SV546 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV412 ) @ ( pi_fun1494794527l_bool @ SV546 @ SV622 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2540]) ).

thf(2671,plain,
    ! [SV547: $i,SV623: $i,SV417: $i,SV189: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV189 )
                | ~ ( is_Arr553848933le_alt @ SV417 ) ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV623 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                            | ~ ( ( SV417 != SV623 )
                                | ( SV189 != SV417 ) ) )
                      | ~ ( ~ ( ( SV417 != SV623 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                              | ~ ( ( SV417 != SV623 )
                                  | ( SV189 != SV417 ) ) )
                        | ~ ( ~ ( ( SV417 != SV623 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2543]) ).

thf(2672,plain,
    ! [SV624: $i,SV418: $i,SV548: $i,SV190: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV190 ) @ SV548 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV418 @ SV190 ) ) @ ( hAPP_f352490559i_bool @ SV624 @ SV190 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV418 ) @ ( pi_fun972956463e_indi @ SV548 @ SV624 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2544]) ).

thf(2673,plain,
    ! [SV625: $i,SV550: $i,SV421: $i,SV193: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV193 ) )
        = $true )
      | ( ( ~ ( is_Arr625519182e_indi @ SV421 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV550 @ SV625 ) )
          | ~ ( ( SV193 != SV421 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV193 ) @ SV625 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV421 ) @ SV625 ) )
          | ( ( hAPP_A588601142di_nat @ SV550 @ SV193 )
           != ( hAPP_A588601142di_nat @ SV550 @ SV421 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2546]) ).

thf(2674,plain,
    ! [SV194: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ ( sK1_SY969 @ SV194 ) )
          | ~ ( is_Arr625519182e_indi @ ( sK2_SY1395 @ SV194 ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV194 @ top_to1256827021i_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2547]) ).

thf(2675,plain,
    ! [SV194: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ SV194 @ ( sK1_SY969 @ SV194 ) )
          = ( hAPP_A588601142di_nat @ SV194 @ ( sK2_SY1395 @ SV194 ) ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV194 @ top_to1256827021i_bool ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2548]) ).

thf(2676,plain,
    ! [SV195: $i] :
      ( ( ( SV195 != top_to1194196741l_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ SV195 ) @ top_to1194196741l_bool ) )
        = $true )
      | ( ( is_fun959573582l_bool @ SV195 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2550]) ).

thf(2677,plain,
    ! [SV195: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ SV195 ) @ top_to1194196741l_bool ) )
        = $false )
      | ( ( SV195 != top_to1194196741l_bool )
        = $true )
      | ( ( is_fun959573582l_bool @ SV195 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2551]) ).

thf(2678,plain,
    ! [SV551: $i,SV422: $i,SV196: $i] :
      ( ( ( is_Arr553848933le_alt @ SV196 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV422 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ( SV196 != SV422 ) )
          | ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) )
                  | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2552]) ).

thf(2679,plain,
    ! [SV626: $i,SV552: $i,SV423: $i,SV197: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV197 ) )
        = $true )
      | ( ( ~ ( is_Arr625519182e_indi @ SV423 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                   != ( hAPP_A588601142di_nat @ SV552 @ SV197 ) )
                  | ( SV423 = SV197 ) )
              | ~ ( ( SV423 != SV197 )
                  | ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                    = ( hAPP_A588601142di_nat @ SV552 @ SV197 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2553]) ).

thf(2680,plain,
    ! [SV627: $i,SV424: $i,SV553: $i,SV199: $i] :
      ( ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV199 ) @ SV553 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV424 @ SV199 ) ) @ SV627 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV424 ) @ ( pi_boo2007389459t_bool @ SV553 @ ( hAPP_f2135750719l_bool @ cOMBK_971068024l_bool @ SV627 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2554]) ).

thf(2681,plain,
    ! [SV628: $i,SV426: $i,SV554: $i,SV201: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV201 ) @ SV554 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV426 @ SV201 ) ) @ SV628 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV426 ) @ ( pi_Arr149813489le_alt @ SV554 @ ( hAPP_f1507266205t_bool @ cOMBK_1152753196e_indi @ SV628 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2555]) ).

thf(2682,plain,
    ! [SV427: $i,SV202: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV202 ) @ SV427 ) )
        = $true )
      | ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV427 ) @ SV202 ) )
          | ( SV202 = SV427 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2556]) ).

thf(2683,plain,
    ! [SV202: $i,SV427: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV427 ) @ SV202 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV202 ) @ SV427 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2557]) ).

thf(2684,plain,
    ! [SV427: $i,SV202: $i] :
      ( ( ( SV202 = SV427 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV202 ) @ SV427 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2557]) ).

thf(2685,plain,
    ! [SV203: $i] :
      ( ( ( SV203 != top_to1256827021i_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV203 ) @ top_to1256827021i_bool ) )
        = $true )
      | ( ( is_fun917378774i_bool @ SV203 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2558]) ).

thf(2686,plain,
    ! [SV203: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV203 ) @ top_to1256827021i_bool ) )
        = $false )
      | ( ( SV203 != top_to1256827021i_bool )
        = $true )
      | ( ( is_fun917378774i_bool @ SV203 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2559]) ).

thf(2687,plain,
    ! [SV629: $i,SV428: $i,SV555: $i,SV204: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV204 ) @ SV555 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV428 @ SV204 ) ) @ SV629 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV428 ) @ ( pi_fun1494794527l_bool @ SV555 @ ( hAPP_f219827985l_bool @ cOMBK_886533338t_bool @ SV629 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2560]) ).

thf(2688,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2563]) ).

thf(2689,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2563]) ).

thf(2690,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2564]) ).

thf(2691,plain,
    ! [SV208: $i,SV431: $i,SV661: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV661 )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV661 ) @ SV431 ) )
          | ! [SY1426: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1426 )
              | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1426 ) @ SV431 ) )
              | ( ( hAPP_A588601142di_nat @ SV208 @ SV661 )
               != ( hAPP_A588601142di_nat @ SV208 @ SY1426 ) )
              | ( SV661 = SY1426 ) ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2565]) ).

thf(2692,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ ( sK10_SY1247 @ SV208 @ SV431 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( sK10_SY1247 @ SV208 @ SV431 ) ) @ SV431 ) )
          | ! [SY1427: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1427 )
              | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1427 ) @ SV431 ) )
              | ( ( hAPP_A588601142di_nat @ SV208 @ ( sK10_SY1247 @ SV208 @ SV431 ) )
               != ( hAPP_A588601142di_nat @ SV208 @ SY1427 ) )
              | ( ( sK10_SY1247 @ SV208 @ SV431 )
                = SY1427 ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2566]) ).

thf(2693,plain,
    ! [SV212: $i,SV435: $i] :
      ( ( ( ! [SY1250: $i] :
              ( ( hAPP_A588601142di_nat @ SV435 @ ( hAPP_n385347014e_indi @ SV212 @ SY1250 ) )
              = SY1250 ) )
        = $false )
      | ( ( ( hilber1792103167di_nat @ top_to1256827021i_bool @ SV435 )
          = SV212 )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV435 @ top_to1256827021i_bool ) )
        = $false )
      | ( ( is_fun1016509681e_indi @ SV212 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2568]) ).

thf(2694,plain,
    ! [SV213: $i,SV658: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) ) )
        = $true )
      | ( ( ! [SY1415: $i] :
              ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1415 ) @ arrow_413697182e_Prof ) )
              | ! [SY1416: $i,SY1417: $i] :
                  ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1416 )
                        | ~ ( is_Arr553848933le_alt @ SY1417 ) )
                  | ~ ! [SY1418: $i] :
                        ( ~ ( is_Arr625519182e_indi @ SY1418 )
                        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1418 ) ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_A1374816149t_bool @ SY1415 @ SY1418 ) ) ) )
                            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_A1374816149t_bool @ SY1415 @ SY1418 ) ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1418 ) ) ) ) ) )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1415 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1415 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2569]) ).

thf(2695,plain,
    ! [SV213: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( sK6_SY1005 @ SV213 ) ) @ arrow_413697182e_Prof ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2570]) ).

thf(2696,plain,
    ! [SV213: $i] :
      ( ( ( ! [SY1419: $i] :
              ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1419 ) @ arrow_413697182e_Prof ) )
              | ! [SY1420: $i,SY1421: $i] :
                  ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1420 )
                        | ~ ( is_Arr553848933le_alt @ SY1421 ) )
                  | ~ ! [SY1422: $i] :
                        ( ~ ( is_Arr625519182e_indi @ SY1422 )
                        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1420 @ SY1421 ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SY1422 ) ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1420 @ SY1421 ) ) @ ( hAPP_A1374816149t_bool @ SY1419 @ SY1422 ) ) ) )
                            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1420 @ SY1421 ) ) @ ( hAPP_A1374816149t_bool @ SY1419 @ SY1422 ) ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1420 @ SY1421 ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SY1422 ) ) ) ) ) )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1420 @ SY1421 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1420 @ SY1421 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1419 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1420 @ SY1421 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1419 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1420 @ SY1421 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2570]) ).

thf(2697,plain,
    ! [SV437: $i,SV215: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV215 ) @ SV437 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV437 ) @ SV215 ) )
        = $true )
      | ( ( SV215 = SV437 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2572]) ).

thf(2698,plain,
    ! [SV630: $i,SV439: $i,SV558: $i,SV218: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV218 ) @ SV558 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV439 @ SV218 ) ) @ SV630 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV439 ) @ ( pi_Pro2135156861t_bool @ SV558 @ ( hAPP_f1724001331l_bool @ cOMBK_2008994872le_alt @ SV630 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2573]) ).

thf(2699,plain,
    ! [SV219: $i,SV440: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( sK7_SY1254 @ SV440 @ SV219 ) ) @ arrow_413697182e_Prof ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2574]) ).

thf(2700,plain,
    ! [SV219: $i,SV440: $i] :
      ( ( ( ! [SY1423: $i,SY1424: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1423 )
                    | ~ ( is_Arr553848933le_alt @ SY1424 ) )
              | ~ ( ( SY1423 != SY1424 ) )
              | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1423 @ SY1424 ) ) @ ( hAPP_A1374816149t_bool @ ( sK7_SY1254 @ SV440 @ SV219 ) @ SV219 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1423 @ SY1424 ) ) @ ( hAPP_f695124765t_bool @ SV440 @ ( sK7_SY1254 @ SV440 @ SV219 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2574]) ).

thf(2701,plain,
    ! [SV559: $i,SV631: $i,SV220: $i,SV441: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV441 @ SV220 ) ) @ ( hAPP_P2127852789l_bool @ SV631 @ SV220 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV220 ) @ SV559 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV441 ) @ ( pi_Pro2135156861t_bool @ SV559 @ SV631 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2575]) ).

thf(2702,plain,
    ! [SV561: $i,SV632: $i,SV224: $i,SV445: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV445 @ SV224 ) ) @ ( hAPP_f355113919i_bool @ SV632 @ SV224 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV224 ) @ SV561 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV445 ) @ ( pi_fun2075749915e_indi @ SV561 @ SV632 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2577]) ).

thf(2703,plain,
    ! [SV562: $i,SV446: $i,SV225: $i] :
      ( ( ( is_Arr625519182e_indi @ SV225 )
        = $false )
      | ( ( ~ ( is_Arr625519182e_indi @ SV446 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV562 @ top_to1256827021i_bool ) )
          | ( ( hAPP_A588601142di_nat @ SV562 @ SV225 )
           != ( hAPP_A588601142di_nat @ SV562 @ SV446 ) )
          | ( SV225 = SV446 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2578]) ).

thf(2704,plain,
    ! [SV633: $i,SV447: $i,SV563: $i,SV226: $i] :
      ( ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV226 ) @ SV563 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV447 @ SV226 ) ) @ ( hAPP_b1965422783l_bool @ SV633 @ SV226 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV447 ) @ ( pi_boo2007389459t_bool @ SV563 @ SV633 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2579]) ).

thf(2705,plain,
    ! [SV634: $i,SV564: $i,SV449: $i,SV228: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV228 )
                      | ~ ( is_Arr553848933le_alt @ SV449 ) )
                | ~ ( is_Arr553848933le_alt @ SV564 ) ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV634 ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( produc171383831le_alt @ SV228 @ SV449 )
                   != ( produc171383831le_alt @ SV564 @ SV634 ) )
                  | ~ ( ( SV228 != SV564 )
                      | ( SV449 != SV634 ) ) )
              | ~ ( ~ ~ ( ( SV228 != SV564 )
                        | ( SV449 != SV634 ) )
                  | ( ( produc171383831le_alt @ SV228 @ SV449 )
                    = ( produc171383831le_alt @ SV564 @ SV634 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2582]) ).

thf(2706,plain,
    ! [SV229: $i,SV565: $i,SV450: $i] :
      ( ( ( is_Arr553848933le_alt @ SV450 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV565 ) )
        = $true )
      | ( ( ~ ( ( SV450 != SV565 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV229 ) @ arrow_1239002508le_Lin ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV229 ) @ SV450 ) @ SV565 ) ) @ arrow_1239002508le_Lin ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2583]) ).

thf(2707,plain,
    ! [SV566: $i,SV635: $i,SV230: $i,SV451: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV451 @ SV230 ) ) @ ( hAPP_b1719629739l_bool @ SV635 @ SV230 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV230 ) @ SV566 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV451 ) @ ( pi_boo691944735t_bool @ SV566 @ SV635 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2584]) ).

thf(2708,plain,
    ! [SV636: $i,SV453: $i,SV567: $i,SV232: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV232 ) @ SV567 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV453 @ SV232 ) ) @ SV636 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV453 ) @ ( pi_fun1727820731l_bool @ SV567 @ ( hAPP_f1667233577l_bool @ cOMBK_1015076504t_bool @ SV636 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2585]) ).

thf(2709,plain,
    ! [SV235: $i] :
      ( ( ( SV235 != top_to2005687013l_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ SV235 ) @ top_to2005687013l_bool ) )
        = $true )
      | ( ( is_fun432044380l_bool @ SV235 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2586]) ).

thf(2710,plain,
    ! [SV235: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ SV235 ) @ top_to2005687013l_bool ) )
        = $false )
      | ( ( SV235 != top_to2005687013l_bool )
        = $true )
      | ( ( is_fun432044380l_bool @ SV235 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2587]) ).

thf(2711,plain,
    ! [SV236: $i,SV456: $i,SV653: $i,SV637: $i,SV568: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV568 )
                | ~ ( is_Arr553848933le_alt @ SV637 ) )
          | ~ ( is_Arr553848933le_alt @ SV653 ) )
        = $true )
      | ( ( ~ ( ( SV637 != SV653 ) )
          | ~ ( ( SV653 != SV568 ) )
          | ~ ( ( SV637 != SV568 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2588]) ).

thf(2712,plain,
    ! [SV638: $i,SV459: $i,SV569: $i,SV239: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV239 ) @ SV569 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV459 @ SV239 ) ) @ SV638 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV459 ) @ ( pi_fun1736243859e_indi @ SV569 @ ( hAPP_f681113465i_bool @ cOMBK_454107598t_bool @ SV638 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2589]) ).

thf(2713,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2590]) ).

thf(2714,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2591]) ).

thf(2715,plain,
    ! [SV461: $i,SV570: $i,SV242: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV242 ) @ SV570 ) ) )
        = $true )
      | ( ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SV570 @ SV461 ) @ ( hAPP_A588601142di_nat @ SV461 @ SV242 ) )
          = SV242 )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV461 @ SV570 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV242 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2592]) ).

thf(2716,plain,
    ! [SV639: $i,SV462: $i,SV571: $i,SV243: $i] :
      ( ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV243 ) @ SV571 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV462 @ SV243 ) ) @ ( hAPP_b1719629739l_bool @ SV639 @ SV243 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV462 ) @ ( pi_boo691944735t_bool @ SV571 @ SV639 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2593]) ).

thf(2717,plain,
    ! [SV640: $i,SV466: $i,SV572: $i,SV247: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV247 ) @ SV572 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV466 @ SV247 ) ) @ ( hAPP_P907763049i_bool @ SV640 @ SV247 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV466 ) @ ( pi_Pro437273841e_indi @ SV572 @ SV640 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2594]) ).

thf(2718,plain,
    ! [SV641: $i,SV467: $i,SV573: $i,SV248: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV248 ) @ SV573 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV467 @ SV248 ) ) @ ( hAPP_A1964572607l_bool @ SV641 @ SV248 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV467 ) @ ( pi_Arr372473371t_bool @ SV573 @ SV641 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2595]) ).

thf(2719,plain,
    ! [SV574: $i,SV642: $i,SV249: $i,SV468: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV468 @ SV249 ) ) @ ( hAPP_f417299659l_bool @ SV642 @ SV249 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV249 ) @ SV574 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV468 ) @ ( pi_fun1727820731l_bool @ SV574 @ SV642 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2596]) ).

thf(2720,plain,
    ! [SV252: $i,SV471: $i] :
      ( ( ( is_fun282293932t_bool @ SV471 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( ~ ( ~ ( ~ ! [SY1287: $i,SY1288: $i] :
                        ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1287 )
                              | ~ ( is_Arr553848933le_alt @ SY1288 ) )
                        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) ) )
                            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) ) ) ) )
                  | ( SV471 = SV252 ) )
              | ~ ( ( SV471 != SV252 )
                  | ! [SY1289: $i,SY1290: $i] :
                      ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1289 )
                            | ~ ( is_Arr553848933le_alt @ SY1290 ) )
                      | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) ) )
                          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2597]) ).

thf(2721,plain,
    ! [SV643: $i,SV474: $i,SV575: $i,SV256: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV256 ) @ SV575 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV474 @ SV256 ) ) @ SV643 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV474 ) @ ( pi_Arr688267935t_bool @ SV575 @ ( hAPP_f1979025587l_bool @ cOMBK_1158753900e_indi @ SV643 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2598]) ).

thf(2722,plain,
    ! [SV644: $i,SV477: $i,SV577: $i,SV260: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV260 ) @ SV577 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV477 @ SV260 ) ) @ ( hAPP_A1912483895l_bool @ SV644 @ SV260 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV477 ) @ ( pi_Arr1511953043t_bool @ SV577 @ SV644 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2600]) ).

thf(2723,plain,
    ! [SV261: $i] :
      ( ( ( SV261 != top_to40512653l_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ SV261 ) @ top_to40512653l_bool ) )
        = $true )
      | ( ( is_fun631676118l_bool @ SV261 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2601]) ).

thf(2724,plain,
    ! [SV261: $i] :
      ( ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ SV261 ) @ top_to40512653l_bool ) )
        = $false )
      | ( ( SV261 != top_to40512653l_bool )
        = $true )
      | ( ( is_fun631676118l_bool @ SV261 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2602]) ).

thf(2725,plain,
    ! [SV645: $i,SV479: $i,SV578: $i,SV263: $i] :
      ( ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV263 ) @ SV578 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV479 @ SV263 ) ) @ SV645 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV479 ) @ ( pi_boo691944735t_bool @ SV578 @ ( hAPP_f371807573l_bool @ cOMBK_697604314l_bool @ SV645 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2603]) ).

thf(2726,plain,
    ! [SV646: $i,SV481: $i,SV580: $i,SV265: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV265 ) @ SV580 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV481 @ SV265 ) ) @ ( hAPP_f417299659l_bool @ SV646 @ SV265 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV481 ) @ ( pi_fun1727820731l_bool @ SV580 @ SV646 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2605]) ).

thf(2727,plain,
    ! [SV647: $i,SV484: $i,SV582: $i,SV269: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV269 ) @ SV582 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV484 @ SV269 ) ) @ SV647 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV484 ) @ ( pi_Pro437273841e_indi @ SV582 @ ( hAPP_f1970593179i_bool @ cOMBK_100791596le_alt @ SV647 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2607]) ).

thf(2728,plain,
    ! [SV648: $i,SV486: $i,SV583: $i,SV271: $i] :
      ( ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV271 ) @ SV583 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV486 @ SV271 ) ) @ SV648 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV486 ) @ ( pi_boo71521447t_bool @ SV583 @ ( hAPP_f448497509l_bool @ cOMBK_1268833122l_bool @ SV648 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2608]) ).

thf(2729,plain,
    ! [SV500: $i,SV586: $i,SV77: $i,SV318: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV318 @ SV77 ) ) @ ( hAPP_f749892423i_bool @ SV586 @ SV77 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV77 ) @ SV500 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV318 ) @ ( pi_fun1736243859e_indi @ SV500 @ SV586 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2611]) ).

thf(2730,plain,
    ! [SV78: $i,SV319: $i,SV654: $i,SV649: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV501 )
                      | ~ ( is_Arr553848933le_alt @ SV587 ) )
                | ~ ( is_Arr553848933le_alt @ SV649 ) )
          | ~ ( is_Arr553848933le_alt @ SV654 ) )
        = $true )
      | ( ( ~ ( ( SV649 != SV654 ) )
          | ~ ( ( SV501 != SV587 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2612]) ).

thf(2731,plain,
    ! [SV86: $i,SV504: $i,SV590: $i,SV326: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV326 ) @ SV590 ) ) )
        = $true )
      | ( ( ( ( hAPP_A588601142di_nat @ SV504 @ SV326 )
           != SV86 )
          | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SV590 @ SV504 ) @ SV86 )
            = SV326 ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV504 @ SV590 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV326 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2617]) ).

thf(2732,plain,
    ! [SV505: $i,SV591: $i,SV327: $i,SV87: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ SV87 )
              | ~ ( is_Arr553848933le_alt @ SV327 ) ) )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV591 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                            | ~ ( ( SV87 != SV591 )
                                | ( SV87 != SV327 ) ) )
                      | ~ ( ~ ( ( SV87 != SV591 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                              | ~ ( ( SV87 != SV591 )
                                  | ( SV87 != SV327 ) ) )
                        | ~ ( ~ ( ( SV87 != SV591 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2618]) ).

thf(2733,plain,
    ! [SV507: $i,SV592: $i,SV92: $i,SV332: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV332 @ SV92 ) ) @ ( hAPP_b1965422783l_bool @ SV592 @ SV92 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV92 ) @ SV507 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV332 ) @ ( pi_boo2007389459t_bool @ SV507 @ SV592 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2620]) ).

thf(2734,plain,
    ! [SV509: $i,SV593: $i,SV96: $i,SV335: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV335 @ SV96 ) ) @ ( hAPP_A1374816149t_bool @ SV593 @ SV96 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV96 ) @ SV509 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV335 ) @ ( pi_Arr149813489le_alt @ SV509 @ SV593 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2621]) ).

thf(2735,plain,
    ! [SV510: $i,SV594: $i,SV97: $i,SV336: $i] :
      ( ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV336 @ SV97 ) ) @ ( hAPP_b990649139l_bool @ SV594 @ SV97 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV97 ) @ SV510 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV336 ) @ ( pi_boo71521447t_bool @ SV510 @ SV594 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2622]) ).

thf(2736,plain,
    ! [SV106: $i,SV345: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV345 ) @ SV106 ) ) )
        = $true )
      | ( ( SV345 = SV106 )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV106 ) @ SV345 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2627]) ).

thf(2737,plain,
    ! [SV106: $i,SV345: $i] :
      ( ( ( SV345 != SV106 )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV345 ) @ SV106 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV106 ) @ SV345 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2628]) ).

thf(2738,plain,
    ! [SV599: $i,SV516: $i,SV346: $i,SV107: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV107 )
                    | ~ ( is_Arr553848933le_alt @ SV346 ) )
              | ~ ( is_Arr553848933le_alt @ SV516 ) ) )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV599 ) )
        = $true )
      | ( ( ( ( produc171383831le_alt @ SV107 @ SV346 )
           != ( produc171383831le_alt @ SV516 @ SV599 ) )
          | ~ ( ( SV107 != SV516 )
              | ( SV346 != SV599 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2629]) ).

thf(2739,plain,
    ! [SV518: $i,SV601: $i,SV112: $i,SV351: $i] :
      ( ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV351 @ SV112 ) ) @ ( hAPP_f497468491l_bool @ SV601 @ SV112 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV112 ) @ SV518 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV351 ) @ ( pi_fun525942951l_bool @ SV518 @ SV601 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2631]) ).

thf(2740,plain,
    ! [SV519: $i,SV650: $i,SV602: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV113 )
                      | ~ ( is_Arr553848933le_alt @ SV352 ) )
                | ~ ( is_Arr553848933le_alt @ SV602 ) ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV650 ) )
        = $true )
      | ( ( ~ ( ( SV602 != SV650 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                            | ~ ( ( SV113 != SV650 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                      | ~ ( ~ ( ( SV113 != SV650 ) )
                          | ~ ( ~ ( ( SV352 != SV650 )
                                  | ( SV113 = SV602 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                              | ~ ( ~ ( ( SV352 != SV650 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SV650 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SV650 ) )
                            | ~ ( ~ ( ( SV352 != SV650 )
                                    | ( SV113 = SV602 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                                | ~ ( ~ ( ( SV352 != SV650 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2632]) ).

thf(2741,plain,
    ! [SV520: $i,SV603: $i,SV114: $i,SV353: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV353 @ SV114 ) ) @ ( hAPP_f352490559i_bool @ SV603 @ SV114 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV114 ) @ SV520 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV353 ) @ ( pi_fun972956463e_indi @ SV520 @ SV603 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2633]) ).

thf(2742,plain,
    ! [SV119: $i] :
      ( ( ( SV119 = top_to2034604131t_bool )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ SV119 ) @ top_to2034604131t_bool ) )
        = $true )
      | ( ( is_fun282293932t_bool @ SV119 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2635]) ).

thf(2743,plain,
    ! [SV119: $i] :
      ( ( ( SV119 = top_to2034604131t_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( hAPP_f2056167603l_bool @ ord_le227393471t_bool @ SV119 ) @ top_to2034604131t_bool ) )
        = $false )
      | ( ( is_fun282293932t_bool @ SV119 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2636]) ).

thf(2744,plain,
    ! [SV358: $i,SV121: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV121 ) @ SV358 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV358 ) @ SV121 ) )
        = $true )
      | ( ( SV121 = SV358 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2637]) ).

thf(2745,plain,
    ! [SV358: $i,SV121: $i] :
      ( ( ( SV121 = SV358 )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV121 ) @ SV358 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2638]) ).

thf(2746,plain,
    ! [SV358: $i,SV121: $i] :
      ( ( ( SV121 = SV358 )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV358 ) @ SV121 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2639]) ).

thf(2747,plain,
    ! [SV522: $i,SV605: $i,SV123: $i,SV359: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV359 @ SV123 ) ) @ ( hAPP_A1944296755l_bool @ SV605 @ SV123 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV123 ) @ SV522 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV359 ) @ ( pi_Arr688267935t_bool @ SV522 @ SV605 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2640]) ).

thf(2748,plain,
    ! [SV127: $i,SV363: $i,SV655: $i,SV651: $i,SV608: $i,SV525: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV525 )
                      | ~ ( is_Arr553848933le_alt @ SV608 ) )
                | ~ ( is_Arr553848933le_alt @ SV651 ) )
          | ~ ( is_Arr553848933le_alt @ SV655 ) )
        = $true )
      | ( ( ~ ( ( SV651 != SV655 ) )
          | ~ ( ( SV525 != SV608 ) )
          | ~ ( ( SV651 != SV608 ) )
          | ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2643]) ).

thf(2749,plain,
    ! [SV526: $i,SV609: $i,SV128: $i,SV364: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV364 @ SV128 ) ) @ ( hAPP_b1024867081t_bool @ SV609 @ SV128 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV128 ) @ SV526 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV364 ) @ ( pi_boo1877522301le_alt @ SV526 @ SV609 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2644]) ).

thf(2750,plain,
    ! [SV132: $i,SV662: $i,SV659: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV659 )
                | ~ ( is_Arr553848933le_alt @ SV662 ) )
          | ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ SV659 @ SV662 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( sK3_SY855 @ SV132 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2645]) ).

thf(2751,plain,
    ! [SV132: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ ( sK4_SY858 @ SV132 ) )
                | ~ ( is_Arr553848933le_alt @ ( sK8_SY1408 @ SV132 ) ) ) )
        = $false )
      | ( ( ! [SY860: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY860 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2646]) ).

thf(2752,plain,
    ! [SV132: $i] :
      ( ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ ( sK4_SY858 @ SV132 ) @ ( sK8_SY1408 @ SV132 ) ) ) )
        = $false )
      | ( ( ! [SY860: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY860 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2646]) ).

thf(2753,plain,
    ! [SV133: $i,SV368: $i,SV656: $i,SV652: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV528 )
                      | ~ ( is_Arr553848933le_alt @ SV610 ) )
                | ~ ( is_Arr553848933le_alt @ SV652 ) )
          | ~ ( is_Arr553848933le_alt @ SV656 ) )
        = $true )
      | ( ( ~ ( ( SV652 != SV656 ) )
          | ~ ( ( SV528 != SV610 ) )
          | ~ ( ( SV652 != SV610 ) )
          | ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2647]) ).

thf(2754,plain,
    ! [SV376: $i,SV142: $i,SV660: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV660 ) @ arrow_413697182e_Prof ) ) )
        = $true )
      | ( ( ( hAPP_f695124765t_bool @ SV142 @ SV660 )
          = ( hAPP_A1374816149t_bool @ SV660 @ SV376 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV142 ) @ SV376 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2649]) ).

thf(2755,plain,
    ! [SV142: $i,SV376: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( sK9_SY1199 @ SV376 @ SV142 ) ) @ arrow_413697182e_Prof ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV142 ) @ SV376 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2650]) ).

thf(2756,plain,
    ! [SV376: $i,SV142: $i] :
      ( ( ( ( hAPP_f695124765t_bool @ SV142 @ ( sK9_SY1199 @ SV376 @ SV142 ) )
          = ( hAPP_A1374816149t_bool @ ( sK9_SY1199 @ SV376 @ SV142 ) @ SV376 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV142 ) @ SV376 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2650]) ).

thf(2757,plain,
    ! [SV143: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ SV143 )
              | ( hBOOL @ top_top_bool ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2651]) ).

thf(2758,plain,
    ! [SV143: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ top_top_bool )
              | ( hBOOL @ SV143 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2651]) ).

thf(2759,plain,
    ! [SV143: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ SV143 )
              | ( hBOOL @ top_top_bool ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ top_top_bool )
              | ( hBOOL @ SV143 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2652]) ).

thf(2760,plain,
    ! [SV532: $i,SV613: $i,SV147: $i,SV379: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV379 @ SV147 ) ) @ ( hAPP_A1912483895l_bool @ SV613 @ SV147 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV147 ) @ SV532 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV379 ) @ ( pi_Arr1511953043t_bool @ SV532 @ SV613 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2654]) ).

thf(2761,plain,
    ! [SV380: $i,SV148: $i,SV533: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ SV533 @ SV148 )
          = SV380 )
        = $false )
      | ( ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ top_to1256827021i_bool @ SV533 ) @ SV380 )
          = SV148 )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV533 @ top_to1256827021i_bool ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV148 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2655]) ).

thf(2762,plain,
    ! [SV534: $i,SV614: $i,SV153: $i,SV385: $i] :
      ( ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV385 @ SV153 ) ) @ ( hAPP_A1964572607l_bool @ SV614 @ SV153 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV153 ) @ SV534 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV385 ) @ ( pi_Arr372473371t_bool @ SV534 @ SV614 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2657]) ).

thf(2763,plain,
    ! [SV535: $i,SV615: $i,SV155: $i,SV387: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV387 @ SV155 ) ) @ ( hAPP_f861484971l_bool @ SV615 @ SV155 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV155 ) @ SV535 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV387 ) @ ( pi_fun433100839t_bool @ SV535 @ SV615 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2658]) ).

thf(2764,plain,
    ! [SV617: $i,SV537: $i,SV390: $i,SV158: $i] :
      ( ( ( is_Arr625519182e_indi @ SV158 )
        = $false )
      | ( ( ~ ( is_Arr625519182e_indi @ SV390 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV537 @ SV617 ) )
          | ( ( hAPP_A588601142di_nat @ SV537 @ SV158 )
           != ( hAPP_A588601142di_nat @ SV537 @ SV390 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV158 ) @ SV617 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV390 ) @ SV617 ) )
          | ( SV158 = SV390 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2660]) ).

thf(2765,plain,
    ! [SV539: $i,SV160: $i,SV392: $i] :
      ( ( ( is_Arr625519182e_indi @ SV392 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV160 )
        = $false )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV539 @ top_to1256827021i_bool ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
                   != ( hAPP_A588601142di_nat @ SV539 @ SV392 ) )
                  | ( SV160 = SV392 ) )
              | ~ ( ( SV160 != SV392 )
                  | ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
                    = ( hAPP_A588601142di_nat @ SV539 @ SV392 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2662]) ).

thf(2766,plain,
    ! [SV162: $i,SV657: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV657 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( ! [SY1409: $i,SY1410: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1409 )
                    | ~ ( is_Arr553848933le_alt @ SY1410 ) )
              | ~ ! [SY1411: $i] :
                    ( ~ ( is_Arr625519182e_indi @ SY1411 )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1409 @ SY1410 ) ) @ ( hAPP_A1374816149t_bool @ SV657 @ SY1411 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1409 @ SY1410 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SV657 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2663]) ).

thf(2767,plain,
    ! [SV162: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( sK5_SY917 @ SV162 ) ) @ arrow_413697182e_Prof ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2664]) ).

thf(2768,plain,
    ! [SV162: $i] :
      ( ( ( ! [SY1428: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ ( sK11_SY1412 @ SV162 ) )
                    | ~ ( is_Arr553848933le_alt @ SY1428 ) )
              | ~ ! [SY1429: $i] :
                    ( ~ ( is_Arr625519182e_indi @ SY1429 )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK11_SY1412 @ SV162 ) @ SY1428 ) ) @ ( hAPP_A1374816149t_bool @ ( sK5_SY917 @ SV162 ) @ SY1429 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK11_SY1412 @ SV162 ) @ SY1428 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ ( sK5_SY917 @ SV162 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2665]) ).

thf(2769,plain,
    ! [SV399: $i,SV168: $i] :
      ( ( ( ~ ( ( SV168 != SV399 ) ) )
        = $true )
      | ( ( ~ ! [SY1218: $i] :
                ~ ~ ( ~ ~ ( ~ ( is_fun282293932t_bool @ SY1218 )
                          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY1218 ) @ arrow_1239002508le_Lin ) ) )
                    | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV168 @ SV399 ) ) @ SY1218 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV168 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV399 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2666]) ).

thf(2770,plain,
    ! [SV542: $i,SV619: $i,SV169: $i,SV400: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV400 @ SV169 ) ) @ ( hAPP_P907763049i_bool @ SV619 @ SV169 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV169 ) @ SV542 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV400 ) @ ( pi_Pro437273841e_indi @ SV542 @ SV619 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2667]) ).

thf(2771,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV620 ) )
        = $true )
      | ( ( ~ ( ( SV543 != SV620 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1394: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1394 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2668]) ).

thf(2772,plain,
    ! [SV546: $i,SV622: $i,SV181: $i,SV412: $i] :
      ( ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV412 @ SV181 ) ) @ ( hAPP_f313042899l_bool @ SV622 @ SV181 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV181 ) @ SV546 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV412 ) @ ( pi_fun1494794527l_bool @ SV546 @ SV622 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2670]) ).

thf(2773,plain,
    ! [SV547: $i,SV623: $i,SV417: $i,SV189: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ SV189 )
              | ~ ( is_Arr553848933le_alt @ SV417 ) ) )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV623 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                            | ~ ( ( SV417 != SV623 )
                                | ( SV189 != SV417 ) ) )
                      | ~ ( ~ ( ( SV417 != SV623 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                              | ~ ( ( SV417 != SV623 )
                                  | ( SV189 != SV417 ) ) )
                        | ~ ( ~ ( ( SV417 != SV623 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2671]) ).

thf(2774,plain,
    ! [SV625: $i,SV550: $i,SV421: $i,SV193: $i] :
      ( ( ( is_Arr625519182e_indi @ SV193 )
        = $false )
      | ( ( ~ ( is_Arr625519182e_indi @ SV421 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV550 @ SV625 ) )
          | ~ ( ( SV193 != SV421 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV193 ) @ SV625 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV421 ) @ SV625 ) )
          | ( ( hAPP_A588601142di_nat @ SV550 @ SV193 )
           != ( hAPP_A588601142di_nat @ SV550 @ SV421 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2673]) ).

thf(2775,plain,
    ! [SV194: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ ( sK1_SY969 @ SV194 ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV194 @ top_to1256827021i_bool ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2674]) ).

thf(2776,plain,
    ! [SV194: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ ( sK2_SY1395 @ SV194 ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV194 @ top_to1256827021i_bool ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2674]) ).

thf(2777,plain,
    ! [SV195: $i] :
      ( ( ( SV195 = top_to1194196741l_bool )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ SV195 ) @ top_to1194196741l_bool ) )
        = $true )
      | ( ( is_fun959573582l_bool @ SV195 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2676]) ).

thf(2778,plain,
    ! [SV195: $i] :
      ( ( ( SV195 = top_to1194196741l_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( hAPP_f1760255479l_bool @ ord_le453141089l_bool @ SV195 ) @ top_to1194196741l_bool ) )
        = $false )
      | ( ( is_fun959573582l_bool @ SV195 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2677]) ).

thf(2779,plain,
    ! [SV551: $i,SV196: $i,SV422: $i] :
      ( ( ( is_Arr553848933le_alt @ SV422 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV196 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ( SV196 != SV422 ) )
          | ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) )
                  | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2678]) ).

thf(2780,plain,
    ! [SV626: $i,SV552: $i,SV423: $i,SV197: $i] :
      ( ( ( is_Arr625519182e_indi @ SV197 )
        = $false )
      | ( ( ~ ( is_Arr625519182e_indi @ SV423 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                   != ( hAPP_A588601142di_nat @ SV552 @ SV197 ) )
                  | ( SV423 = SV197 ) )
              | ~ ( ( SV423 != SV197 )
                  | ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                    = ( hAPP_A588601142di_nat @ SV552 @ SV197 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2679]) ).

thf(2781,plain,
    ! [SV202: $i,SV427: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV427 ) @ SV202 ) )
        = $true )
      | ( ( SV202 = SV427 )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV202 ) @ SV427 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2682]) ).

thf(2782,plain,
    ! [SV427: $i,SV202: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV202 ) @ SV427 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV427 ) @ SV202 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2683]) ).

thf(2783,plain,
    ! [SV427: $i,SV202: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV202 ) @ SV427 ) )
        = $false )
      | ( ( SV202 = SV427 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2684]) ).

thf(2784,plain,
    ! [SV203: $i] :
      ( ( ( SV203 = top_to1256827021i_bool )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV203 ) @ top_to1256827021i_bool ) )
        = $true )
      | ( ( is_fun917378774i_bool @ SV203 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2685]) ).

thf(2785,plain,
    ! [SV203: $i] :
      ( ( ( SV203 = top_to1256827021i_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( hAPP_f1710416135l_bool @ ord_le694128617i_bool @ SV203 ) @ top_to1256827021i_bool ) )
        = $false )
      | ( ( is_fun917378774i_bool @ SV203 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2686]) ).

thf(2786,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2688]) ).

thf(2787,plain,
    ! [SV206: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2689]) ).

thf(2788,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2690]) ).

thf(2789,plain,
    ! [SV208: $i,SV431: $i,SV661: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV661 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV661 ) @ SV431 ) )
          | ! [SY1426: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1426 )
              | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1426 ) @ SV431 ) )
              | ( ( hAPP_A588601142di_nat @ SV208 @ SV661 )
               != ( hAPP_A588601142di_nat @ SV208 @ SY1426 ) )
              | ( SV661 = SY1426 ) ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2691]) ).

thf(2790,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ ( sK10_SY1247 @ SV208 @ SV431 ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2692]) ).

thf(2791,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( sK10_SY1247 @ SV208 @ SV431 ) ) @ SV431 ) )
          | ! [SY1427: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1427 )
              | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1427 ) @ SV431 ) )
              | ( ( hAPP_A588601142di_nat @ SV208 @ ( sK10_SY1247 @ SV208 @ SV431 ) )
               != ( hAPP_A588601142di_nat @ SV208 @ SY1427 ) )
              | ( ( sK10_SY1247 @ SV208 @ SV431 )
                = SY1427 ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2692]) ).

thf(2792,plain,
    ! [SV212: $i,SV435: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ SV435 @ ( hAPP_n385347014e_indi @ SV212 @ ( sK12_SY1250 @ SV212 @ SV435 ) ) )
          = ( sK12_SY1250 @ SV212 @ SV435 ) )
        = $false )
      | ( ( ( hilber1792103167di_nat @ top_to1256827021i_bool @ SV435 )
          = SV212 )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV435 @ top_to1256827021i_bool ) )
        = $false )
      | ( ( is_fun1016509681e_indi @ SV212 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2693]) ).

thf(2793,plain,
    ! [SV213: $i,SV658: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( ! [SY1415: $i] :
              ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SY1415 ) @ arrow_413697182e_Prof ) )
              | ! [SY1416: $i,SY1417: $i] :
                  ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1416 )
                        | ~ ( is_Arr553848933le_alt @ SY1417 ) )
                  | ~ ! [SY1418: $i] :
                        ( ~ ( is_Arr625519182e_indi @ SY1418 )
                        | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1418 ) ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_A1374816149t_bool @ SY1415 @ SY1418 ) ) ) )
                            | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_A1374816149t_bool @ SY1415 @ SY1418 ) ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1418 ) ) ) ) ) )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1415 ) ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SY1415 ) ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1416 @ SY1417 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2694]) ).

thf(2794,plain,
    ! [SV213: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( sK6_SY1005 @ SV213 ) ) @ arrow_413697182e_Prof ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2695]) ).

thf(2795,plain,
    ! [SV213: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( sK13_SY1419 @ SV213 ) ) @ arrow_413697182e_Prof ) )
          | ! [SY1430: $i,SY1431: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1430 )
                    | ~ ( is_Arr553848933le_alt @ SY1431 ) )
              | ~ ! [SY1432: $i] :
                    ( ~ ( is_Arr625519182e_indi @ SY1432 )
                    | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1430 @ SY1431 ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SY1432 ) ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1430 @ SY1431 ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SY1432 ) ) ) )
                        | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1430 @ SY1431 ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SY1432 ) ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1430 @ SY1431 ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SY1432 ) ) ) ) ) )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1430 @ SY1431 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1430 @ SY1431 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1430 @ SY1431 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1430 @ SY1431 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2696]) ).

thf(2796,plain,
    ! [SV219: $i,SV440: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( sK7_SY1254 @ SV440 @ SV219 ) ) @ arrow_413697182e_Prof ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2699]) ).

thf(2797,plain,
    ! [SV440: $i,SV219: $i] :
      ( ( ( ! [SY1433: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ ( sK14_SY1423 @ SV219 @ SV440 ) )
                    | ~ ( is_Arr553848933le_alt @ SY1433 ) )
              | ~ ( ( ( sK14_SY1423 @ SV219 @ SV440 )
                   != SY1433 ) )
              | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK14_SY1423 @ SV219 @ SV440 ) @ SY1433 ) ) @ ( hAPP_A1374816149t_bool @ ( sK7_SY1254 @ SV440 @ SV219 ) @ SV219 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK14_SY1423 @ SV219 @ SV440 ) @ SY1433 ) ) @ ( hAPP_f695124765t_bool @ SV440 @ ( sK7_SY1254 @ SV440 @ SV219 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2700]) ).

thf(2798,plain,
    ! [SV559: $i,SV631: $i,SV220: $i,SV441: $i] :
      ( ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV441 @ SV220 ) ) @ ( hAPP_P2127852789l_bool @ SV631 @ SV220 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV220 ) @ SV559 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV441 ) @ ( pi_Pro2135156861t_bool @ SV559 @ SV631 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2701]) ).

thf(2799,plain,
    ! [SV561: $i,SV632: $i,SV224: $i,SV445: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV445 @ SV224 ) ) @ ( hAPP_f355113919i_bool @ SV632 @ SV224 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV224 ) @ SV561 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV445 ) @ ( pi_fun2075749915e_indi @ SV561 @ SV632 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2702]) ).

thf(2800,plain,
    ! [SV562: $i,SV225: $i,SV446: $i] :
      ( ( ( is_Arr625519182e_indi @ SV446 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV225 )
        = $false )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV562 @ top_to1256827021i_bool ) )
          | ( ( hAPP_A588601142di_nat @ SV562 @ SV225 )
           != ( hAPP_A588601142di_nat @ SV562 @ SV446 ) )
          | ( SV225 = SV446 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2703]) ).

thf(2801,plain,
    ! [SV634: $i,SV564: $i,SV449: $i,SV228: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV228 )
                    | ~ ( is_Arr553848933le_alt @ SV449 ) )
              | ~ ( is_Arr553848933le_alt @ SV564 ) ) )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV634 ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( produc171383831le_alt @ SV228 @ SV449 )
                   != ( produc171383831le_alt @ SV564 @ SV634 ) )
                  | ~ ( ( SV228 != SV564 )
                      | ( SV449 != SV634 ) ) )
              | ~ ( ~ ~ ( ( SV228 != SV564 )
                        | ( SV449 != SV634 ) )
                  | ( ( produc171383831le_alt @ SV228 @ SV449 )
                    = ( produc171383831le_alt @ SV564 @ SV634 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2705]) ).

thf(2802,plain,
    ! [SV229: $i,SV450: $i,SV565: $i] :
      ( ( ( is_Arr553848933le_alt @ SV565 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV450 )
        = $false )
      | ( ( ~ ( ( SV450 != SV565 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV229 ) @ arrow_1239002508le_Lin ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV229 ) @ SV450 ) @ SV565 ) ) @ arrow_1239002508le_Lin ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2706]) ).

thf(2803,plain,
    ! [SV566: $i,SV635: $i,SV230: $i,SV451: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV451 @ SV230 ) ) @ ( hAPP_b1719629739l_bool @ SV635 @ SV230 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV230 ) @ SV566 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV451 ) @ ( pi_boo691944735t_bool @ SV566 @ SV635 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2707]) ).

thf(2804,plain,
    ! [SV235: $i] :
      ( ( ( SV235 = top_to2005687013l_bool )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ SV235 ) @ top_to2005687013l_bool ) )
        = $true )
      | ( ( is_fun432044380l_bool @ SV235 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2709]) ).

thf(2805,plain,
    ! [SV235: $i] :
      ( ( ( SV235 = top_to2005687013l_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( hAPP_f1669465919l_bool @ ord_le272605321l_bool @ SV235 ) @ top_to2005687013l_bool ) )
        = $false )
      | ( ( is_fun432044380l_bool @ SV235 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2710]) ).

thf(2806,plain,
    ! [SV236: $i,SV456: $i,SV653: $i,SV637: $i,SV568: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV568 )
                | ~ ( is_Arr553848933le_alt @ SV637 ) ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV653 ) )
        = $true )
      | ( ( ~ ( ( SV637 != SV653 ) )
          | ~ ( ( SV653 != SV568 ) )
          | ~ ( ( SV637 != SV568 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2711]) ).

thf(2807,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2713]) ).

thf(2808,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2714]) ).

thf(2809,plain,
    ! [SV461: $i,SV570: $i,SV242: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV242 ) @ SV570 ) )
        = $false )
      | ( ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SV570 @ SV461 ) @ ( hAPP_A588601142di_nat @ SV461 @ SV242 ) )
          = SV242 )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV461 @ SV570 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV242 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2715]) ).

thf(2810,plain,
    ! [SV574: $i,SV642: $i,SV249: $i,SV468: $i] :
      ( ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV468 @ SV249 ) ) @ ( hAPP_f417299659l_bool @ SV642 @ SV249 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV249 ) @ SV574 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV468 ) @ ( pi_fun1727820731l_bool @ SV574 @ SV642 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2719]) ).

thf(2811,plain,
    ! [SV252: $i,SV471: $i] :
      ( ( ( ~ ( ~ ! [SY1287: $i,SY1288: $i] :
                    ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1287 )
                          | ~ ( is_Arr553848933le_alt @ SY1288 ) )
                    | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) ) )
                        | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) ) ) ) )
              | ( SV471 = SV252 ) )
          | ~ ( ( SV471 != SV252 )
              | ! [SY1289: $i,SY1290: $i] :
                  ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1289 )
                        | ~ ( is_Arr553848933le_alt @ SY1290 ) )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) ) ) ) ) ) )
        = $false )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2720]) ).

thf(2812,plain,
    ! [SV261: $i] :
      ( ( ( SV261 = top_to40512653l_bool )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ SV261 ) @ top_to40512653l_bool ) )
        = $true )
      | ( ( is_fun631676118l_bool @ SV261 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2723]) ).

thf(2813,plain,
    ! [SV261: $i] :
      ( ( ( SV261 = top_to40512653l_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( hAPP_f281286919l_bool @ ord_le1480133609l_bool @ SV261 ) @ top_to40512653l_bool ) )
        = $false )
      | ( ( is_fun631676118l_bool @ SV261 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2724]) ).

thf(2814,plain,
    ! [SV586: $i,SV318: $i,SV500: $i,SV77: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV77 ) @ SV500 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1818473245e_indi @ SV318 @ SV77 ) ) @ ( hAPP_f749892423i_bool @ SV586 @ SV77 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f234874197l_bool @ ( member1105181906e_indi @ SV318 ) @ ( pi_fun1736243859e_indi @ SV500 @ SV586 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2729]) ).

thf(2815,plain,
    ! [SV78: $i,SV319: $i,SV654: $i,SV649: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV501 )
                      | ~ ( is_Arr553848933le_alt @ SV587 ) )
                | ~ ( is_Arr553848933le_alt @ SV649 ) ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV654 ) )
        = $true )
      | ( ( ~ ( ( SV649 != SV654 ) )
          | ~ ( ( SV501 != SV587 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2730]) ).

thf(2816,plain,
    ! [SV86: $i,SV504: $i,SV590: $i,SV326: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV326 ) @ SV590 ) )
        = $false )
      | ( ( ( ( hAPP_A588601142di_nat @ SV504 @ SV326 )
           != SV86 )
          | ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SV590 @ SV504 ) @ SV86 )
            = SV326 ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV504 @ SV590 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV326 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2731]) ).

thf(2817,plain,
    ! [SV505: $i,SV591: $i,SV327: $i,SV87: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV87 )
          | ~ ( is_Arr553848933le_alt @ SV327 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV591 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                            | ~ ( ( SV87 != SV591 )
                                | ( SV87 != SV327 ) ) )
                      | ~ ( ~ ( ( SV87 != SV591 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                              | ~ ( ( SV87 != SV591 )
                                  | ( SV87 != SV327 ) ) )
                        | ~ ( ~ ( ( SV87 != SV591 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2732]) ).

thf(2818,plain,
    ! [SV592: $i,SV332: $i,SV507: $i,SV92: $i] :
      ( ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV92 ) @ SV507 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_b1024867081t_bool @ SV332 @ SV92 ) ) @ ( hAPP_b1965422783l_bool @ SV592 @ SV92 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1550037191l_bool @ ( member497701034t_bool @ SV332 ) @ ( pi_boo2007389459t_bool @ SV507 @ SV592 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2733]) ).

thf(2819,plain,
    ! [SV593: $i,SV335: $i,SV509: $i,SV96: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV96 ) @ SV509 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_A1736628091le_alt @ SV335 @ SV96 ) ) @ ( hAPP_A1374816149t_bool @ SV593 @ SV96 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f483434675l_bool @ ( member859582768le_alt @ SV335 ) @ ( pi_Arr149813489le_alt @ SV509 @ SV593 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2734]) ).

thf(2820,plain,
    ! [SV594: $i,SV336: $i,SV510: $i,SV97: $i] :
      ( ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV97 ) @ SV510 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_b331122225t_bool @ SV336 @ SV97 ) ) @ ( hAPP_b990649139l_bool @ SV594 @ SV97 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1271180905l_bool @ ( member2081512038t_bool @ SV336 ) @ ( pi_boo71521447t_bool @ SV510 @ SV594 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2735]) ).

thf(2821,plain,
    ! [SV106: $i,SV345: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV345 ) @ SV106 ) ) )
        = $false )
      | ( ( SV345 = SV106 )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV106 ) @ SV345 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2736]) ).

thf(2822,plain,
    ! [SV106: $i,SV345: $i] :
      ( ( ( SV345 = SV106 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV345 ) @ SV106 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV106 ) @ SV345 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2737]) ).

thf(2823,plain,
    ! [SV599: $i,SV516: $i,SV346: $i,SV107: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV107 )
                | ~ ( is_Arr553848933le_alt @ SV346 ) )
          | ~ ( is_Arr553848933le_alt @ SV516 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV599 ) )
        = $true )
      | ( ( ( ( produc171383831le_alt @ SV107 @ SV346 )
           != ( produc171383831le_alt @ SV516 @ SV599 ) )
          | ~ ( ( SV107 != SV516 )
              | ( SV346 != SV599 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2738]) ).

thf(2824,plain,
    ! [SV601: $i,SV351: $i,SV518: $i,SV112: $i] :
      ( ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV112 ) @ SV518 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f785543729l_bool @ SV351 @ SV112 ) ) @ ( hAPP_f497468491l_bool @ SV601 @ SV112 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1279200745l_bool @ ( member387398118l_bool @ SV351 ) @ ( pi_fun525942951l_bool @ SV518 @ SV601 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2739]) ).

thf(2825,plain,
    ! [SV519: $i,SV650: $i,SV602: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV113 )
                    | ~ ( is_Arr553848933le_alt @ SV352 ) )
              | ~ ( is_Arr553848933le_alt @ SV602 ) ) )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV650 ) )
        = $true )
      | ( ( ~ ( ( SV602 != SV650 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                            | ~ ( ( SV113 != SV650 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                      | ~ ( ~ ( ( SV113 != SV650 ) )
                          | ~ ( ~ ( ( SV352 != SV650 )
                                  | ( SV113 = SV602 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                              | ~ ( ~ ( ( SV352 != SV650 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SV650 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SV650 ) )
                            | ~ ( ~ ( ( SV352 != SV650 )
                                    | ( SV113 = SV602 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                                | ~ ( ~ ( ( SV352 != SV650 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2740]) ).

thf(2826,plain,
    ! [SV603: $i,SV353: $i,SV520: $i,SV114: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV114 ) @ SV520 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f1659504677e_indi @ SV353 @ SV114 ) ) @ ( hAPP_f352490559i_bool @ SV603 @ SV114 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f592909149l_bool @ ( member329987264e_indi @ SV353 ) @ ( pi_fun972956463e_indi @ SV520 @ SV603 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2741]) ).

thf(2827,plain,
    ! [SV605: $i,SV359: $i,SV522: $i,SV123: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV123 ) @ SV522 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A1374816149t_bool @ SV359 @ SV123 ) ) @ ( hAPP_A1944296755l_bool @ SV605 @ SV123 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV359 ) @ ( pi_Arr688267935t_bool @ SV522 @ SV605 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2747]) ).

thf(2828,plain,
    ! [SV127: $i,SV363: $i,SV655: $i,SV651: $i,SV608: $i,SV525: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV525 )
                      | ~ ( is_Arr553848933le_alt @ SV608 ) )
                | ~ ( is_Arr553848933le_alt @ SV651 ) ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV655 ) )
        = $true )
      | ( ( ~ ( ( SV651 != SV655 ) )
          | ~ ( ( SV525 != SV608 ) )
          | ~ ( ( SV651 != SV608 ) )
          | ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2748]) ).

thf(2829,plain,
    ! [SV609: $i,SV364: $i,SV526: $i,SV128: $i] :
      ( ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV128 ) @ SV526 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( hAPP_b1817367815le_alt @ SV364 @ SV128 ) ) @ ( hAPP_b1024867081t_bool @ SV609 @ SV128 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1895985727l_bool @ ( member42699324le_alt @ SV364 ) @ ( pi_boo1877522301le_alt @ SV526 @ SV609 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2749]) ).

thf(2830,plain,
    ! [SV132: $i,SV662: $i,SV659: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV659 )
                | ~ ( is_Arr553848933le_alt @ SV662 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ SV659 @ SV662 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( sK3_SY855 @ SV132 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2750]) ).

thf(2831,plain,
    ! [SV132: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ ( sK4_SY858 @ SV132 ) )
              | ~ ( is_Arr553848933le_alt @ ( sK8_SY1408 @ SV132 ) ) ) )
        = $true )
      | ( ( ! [SY860: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY860 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2751]) ).

thf(2832,plain,
    ! [SV663: $i,SV132: $i] :
      ( ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SV663 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ ( sK4_SY858 @ SV132 ) @ ( sK8_SY1408 @ SV132 ) ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2752]) ).

thf(2833,plain,
    ! [SV133: $i,SV368: $i,SV656: $i,SV652: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV528 )
                      | ~ ( is_Arr553848933le_alt @ SV610 ) )
                | ~ ( is_Arr553848933le_alt @ SV652 ) ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV656 ) )
        = $true )
      | ( ( ~ ( ( SV652 != SV656 ) )
          | ~ ( ( SV528 != SV610 ) )
          | ~ ( ( SV652 != SV610 ) )
          | ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2753]) ).

thf(2834,plain,
    ! [SV376: $i,SV142: $i,SV660: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV660 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( ( hAPP_f695124765t_bool @ SV142 @ SV660 )
          = ( hAPP_A1374816149t_bool @ SV660 @ SV376 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV142 ) @ SV376 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2754]) ).

thf(2835,plain,
    ! [SV142: $i,SV376: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( sK9_SY1199 @ SV376 @ SV142 ) ) @ arrow_413697182e_Prof ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV142 ) @ SV376 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2755]) ).

thf(2836,plain,
    ! [SV143: $i] :
      ( ( ( ~ ( hBOOL @ SV143 )
          | ( hBOOL @ top_top_bool ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2757]) ).

thf(2837,plain,
    ! [SV143: $i] :
      ( ( ( ~ ( hBOOL @ top_top_bool )
          | ( hBOOL @ SV143 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2758]) ).

thf(2838,plain,
    ! [SV143: $i] :
      ( ( ( ~ ( hBOOL @ SV143 )
          | ( hBOOL @ top_top_bool ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ top_top_bool )
              | ( hBOOL @ SV143 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2759]) ).

thf(2839,plain,
    ! [SV613: $i,SV379: $i,SV532: $i,SV147: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV147 ) @ SV532 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_A1594182429t_bool @ SV379 @ SV147 ) ) @ ( hAPP_A1912483895l_bool @ SV613 @ SV147 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f204273237l_bool @ ( member1833291218t_bool @ SV379 ) @ ( pi_Arr1511953043t_bool @ SV532 @ SV613 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2760]) ).

thf(2840,plain,
    ! [SV614: $i,SV385: $i,SV534: $i,SV153: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV153 ) @ SV534 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ ( hAPP_A1062826149t_bool @ SV385 @ SV153 ) ) @ ( hAPP_A1964572607l_bool @ SV614 @ SV153 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1012384989l_bool @ ( member1467476314t_bool @ SV385 ) @ ( pi_Arr372473371t_bool @ SV534 @ SV614 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2762]) ).

thf(2841,plain,
    ! [SV615: $i,SV387: $i,SV535: $i,SV155: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV155 ) @ SV535 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_f695124765t_bool @ SV387 @ SV155 ) ) @ ( hAPP_f861484971l_bool @ SV615 @ SV155 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV387 ) @ ( pi_fun433100839t_bool @ SV535 @ SV615 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2763]) ).

thf(2842,plain,
    ! [SV617: $i,SV537: $i,SV158: $i,SV390: $i] :
      ( ( ( is_Arr625519182e_indi @ SV390 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV158 )
        = $false )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV537 @ SV617 ) )
          | ( ( hAPP_A588601142di_nat @ SV537 @ SV158 )
           != ( hAPP_A588601142di_nat @ SV537 @ SV390 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV158 ) @ SV617 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV390 ) @ SV617 ) )
          | ( SV158 = SV390 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2764]) ).

thf(2843,plain,
    ! [SV392: $i,SV160: $i,SV539: $i] :
      ( ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV539 @ top_to1256827021i_bool ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
                   != ( hAPP_A588601142di_nat @ SV539 @ SV392 ) )
                  | ( SV160 = SV392 ) )
              | ~ ( ( SV160 != SV392 )
                  | ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
                    = ( hAPP_A588601142di_nat @ SV539 @ SV392 ) ) ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV160 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV392 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2765]) ).

thf(2844,plain,
    ! [SV162: $i,SV657: $i,SV664: $i] :
      ( ( ( ! [SY1434: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV664 )
                    | ~ ( is_Arr553848933le_alt @ SY1434 ) )
              | ~ ! [SY1435: $i] :
                    ( ~ ( is_Arr625519182e_indi @ SY1435 )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SY1434 ) ) @ ( hAPP_A1374816149t_bool @ SV657 @ SY1435 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SY1434 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SV657 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV657 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2766]) ).

thf(2845,plain,
    ! [SV162: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ ( sK11_SY1412 @ SV162 ) )
                | ~ ( is_Arr553848933le_alt @ ( sK15_SY1428 @ SV162 ) ) )
          | ~ ! [SY1436: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1436 )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK11_SY1412 @ SV162 ) @ ( sK15_SY1428 @ SV162 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK5_SY917 @ SV162 ) @ SY1436 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK11_SY1412 @ SV162 ) @ ( sK15_SY1428 @ SV162 ) ) ) @ ( hAPP_f695124765t_bool @ SV162 @ ( sK5_SY917 @ SV162 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2768]) ).

thf(2846,plain,
    ! [SV399: $i,SV168: $i] :
      ( ( ( SV168 != SV399 )
        = $false )
      | ( ( ~ ! [SY1218: $i] :
                ~ ~ ( ~ ~ ( ~ ( is_fun282293932t_bool @ SY1218 )
                          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY1218 ) @ arrow_1239002508le_Lin ) ) )
                    | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV168 @ SV399 ) ) @ SY1218 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV168 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV399 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2769]) ).

thf(2847,plain,
    ! [SV619: $i,SV400: $i,SV542: $i,SV169: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV169 ) @ SV542 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_P2024088443e_indi @ SV400 @ SV169 ) ) @ ( hAPP_P907763049i_bool @ SV619 @ SV169 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f460310451l_bool @ ( member765089840e_indi @ SV400 ) @ ( pi_Pro437273841e_indi @ SV542 @ SV619 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2770]) ).

thf(2848,plain,
    ! [SV173: $i,SV404: $i,SV543: $i,SV620: $i] :
      ( ( ( is_Arr553848933le_alt @ SV620 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( ~ ( ( SV543 != SV620 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1394: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1394 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2771]) ).

thf(2849,plain,
    ! [SV622: $i,SV412: $i,SV546: $i,SV181: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV181 ) @ SV546 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f1636546729l_bool @ SV412 @ SV181 ) ) @ ( hAPP_f313042899l_bool @ SV622 @ SV181 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f500145249l_bool @ ( member1661336414l_bool @ SV412 ) @ ( pi_fun1494794527l_bool @ SV546 @ SV622 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2772]) ).

thf(2850,plain,
    ! [SV547: $i,SV623: $i,SV417: $i,SV189: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV189 )
          | ~ ( is_Arr553848933le_alt @ SV417 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV623 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                            | ~ ( ( SV417 != SV623 )
                                | ( SV189 != SV417 ) ) )
                      | ~ ( ~ ( ( SV417 != SV623 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                              | ~ ( ( SV417 != SV623 )
                                  | ( SV189 != SV417 ) ) )
                        | ~ ( ~ ( ( SV417 != SV623 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2773]) ).

thf(2851,plain,
    ! [SV625: $i,SV550: $i,SV193: $i,SV421: $i] :
      ( ( ( is_Arr625519182e_indi @ SV421 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV193 )
        = $false )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV550 @ SV625 ) )
          | ~ ( ( SV193 != SV421 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV193 ) @ SV625 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV421 ) @ SV625 ) )
          | ( ( hAPP_A588601142di_nat @ SV550 @ SV193 )
           != ( hAPP_A588601142di_nat @ SV550 @ SV421 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2774]) ).

thf(2852,plain,
    ! [SV194: $i] :
      ( ( ( is_Arr625519182e_indi @ ( sK1_SY969 @ SV194 ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV194 @ top_to1256827021i_bool ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2775]) ).

thf(2853,plain,
    ! [SV194: $i] :
      ( ( ( is_Arr625519182e_indi @ ( sK2_SY1395 @ SV194 ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV194 @ top_to1256827021i_bool ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2776]) ).

thf(2854,plain,
    ! [SV422: $i,SV196: $i,SV551: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) ) )
        = $true )
      | ( ( ~ ( ( SV196 != SV422 ) )
          | ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) )
                  | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV196 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV422 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2779]) ).

thf(2855,plain,
    ! [SV626: $i,SV552: $i,SV197: $i,SV423: $i] :
      ( ( ( is_Arr625519182e_indi @ SV423 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV197 )
        = $false )
      | ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                   != ( hAPP_A588601142di_nat @ SV552 @ SV197 ) )
                  | ( SV423 = SV197 ) )
              | ~ ( ( SV423 != SV197 )
                  | ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                    = ( hAPP_A588601142di_nat @ SV552 @ SV197 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2780]) ).

thf(2856,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2786]) ).

thf(2857,plain,
    ! [SV206: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2787]) ).

thf(2858,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2788]) ).

thf(2859,plain,
    ! [SV206: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2788]) ).

thf(2860,plain,
    ! [SV208: $i,SV431: $i,SV661: $i] :
      ( ( ( is_Arr625519182e_indi @ SV661 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV661 ) @ SV431 ) )
          | ! [SY1426: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1426 )
              | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1426 ) @ SV431 ) )
              | ( ( hAPP_A588601142di_nat @ SV208 @ SV661 )
               != ( hAPP_A588601142di_nat @ SV208 @ SY1426 ) )
              | ( SV661 = SY1426 ) ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2789]) ).

thf(2861,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ( is_Arr625519182e_indi @ ( sK10_SY1247 @ SV208 @ SV431 ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2790]) ).

thf(2862,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( sK10_SY1247 @ SV208 @ SV431 ) ) @ SV431 ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2791]) ).

thf(2863,plain,
    ! [SV208: $i,SV431: $i] :
      ( ( ( ! [SY1427: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1427 )
              | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1427 ) @ SV431 ) )
              | ( ( hAPP_A588601142di_nat @ SV208 @ ( sK10_SY1247 @ SV208 @ SV431 ) )
               != ( hAPP_A588601142di_nat @ SV208 @ SY1427 ) )
              | ( ( sK10_SY1247 @ SV208 @ SV431 )
                = SY1427 ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2791]) ).

thf(2864,plain,
    ! [SV213: $i,SV658: $i,SV665: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
          | ! [SY1437: $i,SY1438: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1437 )
                    | ~ ( is_Arr553848933le_alt @ SY1438 ) )
              | ~ ! [SY1439: $i] :
                    ( ~ ( is_Arr625519182e_indi @ SY1439 )
                    | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1439 ) ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1439 ) ) ) )
                        | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1439 ) ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1439 ) ) ) ) ) )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2793]) ).

thf(2865,plain,
    ! [SV213: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( sK13_SY1419 @ SV213 ) ) @ arrow_413697182e_Prof ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2795]) ).

thf(2866,plain,
    ! [SV213: $i] :
      ( ( ( ! [SY1430: $i,SY1431: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1430 )
                    | ~ ( is_Arr553848933le_alt @ SY1431 ) )
              | ~ ! [SY1432: $i] :
                    ( ~ ( is_Arr625519182e_indi @ SY1432 )
                    | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1430 @ SY1431 ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SY1432 ) ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1430 @ SY1431 ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SY1432 ) ) ) )
                        | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1430 @ SY1431 ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SY1432 ) ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1430 @ SY1431 ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SY1432 ) ) ) ) ) )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1430 @ SY1431 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1430 @ SY1431 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1430 @ SY1431 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1430 @ SY1431 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2795]) ).

thf(2867,plain,
    ! [SV440: $i,SV219: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ ( sK14_SY1423 @ SV219 @ SV440 ) )
                | ~ ( is_Arr553848933le_alt @ ( sK16_SY1433 @ SV440 @ SV219 ) ) )
          | ~ ( ( ( sK14_SY1423 @ SV219 @ SV440 )
               != ( sK16_SY1433 @ SV440 @ SV219 ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK14_SY1423 @ SV219 @ SV440 ) @ ( sK16_SY1433 @ SV440 @ SV219 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK7_SY1254 @ SV440 @ SV219 ) @ SV219 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK14_SY1423 @ SV219 @ SV440 ) @ ( sK16_SY1433 @ SV440 @ SV219 ) ) ) @ ( hAPP_f695124765t_bool @ SV440 @ ( sK7_SY1254 @ SV440 @ SV219 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2797]) ).

thf(2868,plain,
    ! [SV631: $i,SV441: $i,SV559: $i,SV220: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ SV220 ) @ SV559 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_P2075002375t_bool @ SV441 @ SV220 ) ) @ ( hAPP_P2127852789l_bool @ SV631 @ SV220 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV441 ) @ ( pi_Pro2135156861t_bool @ SV559 @ SV631 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2798]) ).

thf(2869,plain,
    ! [SV632: $i,SV445: $i,SV561: $i,SV224: $i] :
      ( ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV224 ) @ SV561 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( hAPP_f618619045e_indi @ SV445 @ SV224 ) ) @ ( hAPP_f355113919i_bool @ SV632 @ SV224 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1766869725l_bool @ ( member1122398042e_indi @ SV445 ) @ ( pi_fun2075749915e_indi @ SV561 @ SV632 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2799]) ).

thf(2870,plain,
    ! [SV446: $i,SV225: $i,SV562: $i] :
      ( ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV562 @ top_to1256827021i_bool ) ) )
        = $true )
      | ( ( ( ( hAPP_A588601142di_nat @ SV562 @ SV225 )
           != ( hAPP_A588601142di_nat @ SV562 @ SV446 ) )
          | ( SV225 = SV446 ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV225 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV446 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2800]) ).

thf(2871,plain,
    ! [SV634: $i,SV564: $i,SV449: $i,SV228: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV228 )
                | ~ ( is_Arr553848933le_alt @ SV449 ) )
          | ~ ( is_Arr553848933le_alt @ SV564 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV634 ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( produc171383831le_alt @ SV228 @ SV449 )
                   != ( produc171383831le_alt @ SV564 @ SV634 ) )
                  | ~ ( ( SV228 != SV564 )
                      | ( SV449 != SV634 ) ) )
              | ~ ( ~ ~ ( ( SV228 != SV564 )
                        | ( SV449 != SV634 ) )
                  | ( ( produc171383831le_alt @ SV228 @ SV449 )
                    = ( produc171383831le_alt @ SV564 @ SV634 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2801]) ).

thf(2872,plain,
    ! [SV229: $i,SV565: $i,SV450: $i] :
      ( ( ( ~ ( ( SV450 != SV565 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV229 ) @ arrow_1239002508le_Lin ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV229 ) @ SV450 ) @ SV565 ) ) @ arrow_1239002508le_Lin ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV450 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV565 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2802]) ).

thf(2873,plain,
    ! [SV635: $i,SV451: $i,SV566: $i,SV230: $i] :
      ( ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ SV230 ) @ SV566 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( hAPP_b833696937t_bool @ SV451 @ SV230 ) ) @ ( hAPP_b1719629739l_bool @ SV635 @ SV230 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1018082273l_bool @ ( member1911067358t_bool @ SV451 ) @ ( pi_boo691944735t_bool @ SV566 @ SV635 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2803]) ).

thf(2874,plain,
    ! [SV236: $i,SV456: $i,SV653: $i,SV637: $i,SV568: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ SV568 )
              | ~ ( is_Arr553848933le_alt @ SV637 ) ) )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV653 ) )
        = $true )
      | ( ( ~ ( ( SV637 != SV653 ) )
          | ~ ( ( SV653 != SV568 ) )
          | ~ ( ( SV637 != SV568 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2806]) ).

thf(2875,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2807]) ).

thf(2876,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2807]) ).

thf(2877,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2808]) ).

thf(2878,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2808]) ).

thf(2879,plain,
    ! [SV642: $i,SV468: $i,SV574: $i,SV249: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV249 ) @ SV574 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f387058535l_bool @ ( member_bool @ ( hAPP_f745298353l_bool @ SV468 @ SV249 ) ) @ ( hAPP_f417299659l_bool @ SV642 @ SV249 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f526292585l_bool @ ( member1033316428l_bool @ SV468 ) @ ( pi_fun1727820731l_bool @ SV574 @ SV642 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2810]) ).

thf(2880,plain,
    ! [SV252: $i,SV471: $i] :
      ( ( ( ~ ( ~ ! [SY1287: $i,SY1288: $i] :
                    ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1287 )
                          | ~ ( is_Arr553848933le_alt @ SY1288 ) )
                    | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) ) )
                        | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) ) ) ) )
              | ( SV471 = SV252 ) ) )
        = $false )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2811]) ).

thf(2881,plain,
    ! [SV252: $i,SV471: $i] :
      ( ( ( ~ ( ( SV471 != SV252 )
              | ! [SY1289: $i,SY1290: $i] :
                  ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1289 )
                        | ~ ( is_Arr553848933le_alt @ SY1290 ) )
                  | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) ) )
                      | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) ) ) ) ) ) )
        = $false )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2811]) ).

thf(2882,plain,
    ! [SV78: $i,SV319: $i,SV654: $i,SV649: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV501 )
                    | ~ ( is_Arr553848933le_alt @ SV587 ) )
              | ~ ( is_Arr553848933le_alt @ SV649 ) ) )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV654 ) )
        = $true )
      | ( ( ~ ( ( SV649 != SV654 ) )
          | ~ ( ( SV501 != SV587 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2815]) ).

thf(2883,plain,
    ! [SV590: $i,SV86: $i,SV326: $i,SV504: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ SV504 @ SV326 )
         != SV86 )
        = $true )
      | ( ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SV590 @ SV504 ) @ SV86 )
          = SV326 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV326 ) @ SV590 ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV504 @ SV590 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV326 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2816]) ).

thf(2884,plain,
    ! [SV505: $i,SV591: $i,SV327: $i,SV87: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV87 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV327 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV591 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                            | ~ ( ( SV87 != SV591 )
                                | ( SV87 != SV327 ) ) )
                      | ~ ( ~ ( ( SV87 != SV591 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                              | ~ ( ( SV87 != SV591 )
                                  | ( SV87 != SV327 ) ) )
                        | ~ ( ~ ( ( SV87 != SV591 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2817]) ).

thf(2885,plain,
    ! [SV106: $i,SV345: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV345 ) @ SV106 ) )
        = $true )
      | ( ( SV345 = SV106 )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV106 ) @ SV345 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2821]) ).

thf(2886,plain,
    ! [SV106: $i,SV345: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV345 ) @ SV106 ) )
        = $false )
      | ( ( SV345 = SV106 )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ SV106 ) @ SV345 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2822]) ).

thf(2887,plain,
    ! [SV599: $i,SV516: $i,SV346: $i,SV107: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV107 )
                | ~ ( is_Arr553848933le_alt @ SV346 ) ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV516 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV599 ) )
        = $true )
      | ( ( ( ( produc171383831le_alt @ SV107 @ SV346 )
           != ( produc171383831le_alt @ SV516 @ SV599 ) )
          | ~ ( ( SV107 != SV516 )
              | ( SV346 != SV599 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2823]) ).

thf(2888,plain,
    ! [SV519: $i,SV650: $i,SV602: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV113 )
                | ~ ( is_Arr553848933le_alt @ SV352 ) )
          | ~ ( is_Arr553848933le_alt @ SV602 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV650 ) )
        = $true )
      | ( ( ~ ( ( SV602 != SV650 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                            | ~ ( ( SV113 != SV650 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                      | ~ ( ~ ( ( SV113 != SV650 ) )
                          | ~ ( ~ ( ( SV352 != SV650 )
                                  | ( SV113 = SV602 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                              | ~ ( ~ ( ( SV352 != SV650 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SV650 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SV650 ) )
                            | ~ ( ~ ( ( SV352 != SV650 )
                                    | ( SV113 = SV602 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                                | ~ ( ~ ( ( SV352 != SV650 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2825]) ).

thf(2889,plain,
    ! [SV127: $i,SV363: $i,SV655: $i,SV651: $i,SV608: $i,SV525: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV525 )
                    | ~ ( is_Arr553848933le_alt @ SV608 ) )
              | ~ ( is_Arr553848933le_alt @ SV651 ) ) )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV655 ) )
        = $true )
      | ( ( ~ ( ( SV651 != SV655 ) )
          | ~ ( ( SV525 != SV608 ) )
          | ~ ( ( SV651 != SV608 ) )
          | ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2828]) ).

thf(2890,plain,
    ! [SV132: $i,SV662: $i,SV659: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ SV659 )
              | ~ ( is_Arr553848933le_alt @ SV662 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ SV659 @ SV662 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( sK3_SY855 @ SV132 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2830]) ).

thf(2891,plain,
    ! [SV132: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ ( sK4_SY858 @ SV132 ) )
          | ~ ( is_Arr553848933le_alt @ ( sK8_SY1408 @ SV132 ) ) )
        = $false )
      | ( ( ! [SY860: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY860 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2831]) ).

thf(2892,plain,
    ! [SV133: $i,SV368: $i,SV656: $i,SV652: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV528 )
                    | ~ ( is_Arr553848933le_alt @ SV610 ) )
              | ~ ( is_Arr553848933le_alt @ SV652 ) ) )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV656 ) )
        = $true )
      | ( ( ~ ( ( SV652 != SV656 ) )
          | ~ ( ( SV528 != SV610 ) )
          | ~ ( ( SV652 != SV610 ) )
          | ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2833]) ).

thf(2893,plain,
    ! [SV143: $i] :
      ( ( ( ~ ( hBOOL @ SV143 ) )
        = $true )
      | ( ( hBOOL @ top_top_bool )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2836]) ).

thf(2894,plain,
    ! [SV143: $i] :
      ( ( ( ~ ( hBOOL @ top_top_bool ) )
        = $true )
      | ( ( hBOOL @ SV143 )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2837]) ).

thf(2895,plain,
    ! [SV143: $i] :
      ( ( ( ~ ( hBOOL @ SV143 ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ top_top_bool )
              | ( hBOOL @ SV143 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2838]) ).

thf(2896,plain,
    ! [SV143: $i] :
      ( ( ( hBOOL @ top_top_bool )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ top_top_bool )
              | ( hBOOL @ SV143 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2838]) ).

thf(2897,plain,
    ! [SV390: $i,SV158: $i,SV617: $i,SV537: $i] :
      ( ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV537 @ SV617 ) ) )
        = $true )
      | ( ( ( ( hAPP_A588601142di_nat @ SV537 @ SV158 )
           != ( hAPP_A588601142di_nat @ SV537 @ SV390 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV158 ) @ SV617 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV390 ) @ SV617 ) )
          | ( SV158 = SV390 ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV158 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV390 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2842]) ).

thf(2898,plain,
    ! [SV392: $i,SV160: $i,SV539: $i] :
      ( ( ( hBOOL @ ( inj_on24934938di_nat @ SV539 @ top_to1256827021i_bool ) )
        = $false )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
                   != ( hAPP_A588601142di_nat @ SV539 @ SV392 ) )
                  | ( SV160 = SV392 ) )
              | ~ ( ( SV160 != SV392 )
                  | ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
                    = ( hAPP_A588601142di_nat @ SV539 @ SV392 ) ) ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV160 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV392 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2843]) ).

thf(2899,plain,
    ! [SV162: $i,SV657: $i,SV666: $i,SV664: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV664 )
                | ~ ( is_Arr553848933le_alt @ SV666 ) )
          | ~ ! [SY1440: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1440 )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_A1374816149t_bool @ SV657 @ SY1440 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SV657 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV657 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2844]) ).

thf(2900,plain,
    ! [SV162: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ ( sK11_SY1412 @ SV162 ) )
                | ~ ( is_Arr553848933le_alt @ ( sK15_SY1428 @ SV162 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2845]) ).

thf(2901,plain,
    ! [SV162: $i] :
      ( ( ( ~ ! [SY1436: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1436 )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK11_SY1412 @ SV162 ) @ ( sK15_SY1428 @ SV162 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK5_SY917 @ SV162 ) @ SY1436 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK11_SY1412 @ SV162 ) @ ( sK15_SY1428 @ SV162 ) ) ) @ ( hAPP_f695124765t_bool @ SV162 @ ( sK5_SY917 @ SV162 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2845]) ).

thf(2902,plain,
    ! [SV399: $i,SV168: $i] :
      ( ( ( SV168 = SV399 )
        = $true )
      | ( ( ~ ! [SY1218: $i] :
                ~ ~ ( ~ ~ ( ~ ( is_fun282293932t_bool @ SY1218 )
                          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY1218 ) @ arrow_1239002508le_Lin ) ) )
                    | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV168 @ SV399 ) ) @ SY1218 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV168 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV399 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2846]) ).

thf(2903,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( ( SV543 != SV620 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1394: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1394 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2848]) ).

thf(2904,plain,
    ! [SV547: $i,SV623: $i,SV417: $i,SV189: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV189 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV417 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV623 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                            | ~ ( ( SV417 != SV623 )
                                | ( SV189 != SV417 ) ) )
                      | ~ ( ~ ( ( SV417 != SV623 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                              | ~ ( ( SV417 != SV623 )
                                  | ( SV189 != SV417 ) ) )
                        | ~ ( ~ ( ( SV417 != SV623 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2850]) ).

thf(2905,plain,
    ! [SV421: $i,SV193: $i,SV625: $i,SV550: $i] :
      ( ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV550 @ SV625 ) ) )
        = $true )
      | ( ( ~ ( ( SV193 != SV421 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV193 ) @ SV625 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV421 ) @ SV625 ) )
          | ( ( hAPP_A588601142di_nat @ SV550 @ SV193 )
           != ( hAPP_A588601142di_nat @ SV550 @ SV421 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV193 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV421 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2851]) ).

thf(2906,plain,
    ! [SV422: $i,SV196: $i,SV551: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( ~ ( ( SV196 != SV422 ) )
          | ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) )
                  | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV196 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV422 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2854]) ).

thf(2907,plain,
    ! [SV197: $i,SV423: $i,SV626: $i,SV552: $i] :
      ( ( ( ~ ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                   != ( hAPP_A588601142di_nat @ SV552 @ SV197 ) )
                  | ( SV423 = SV197 ) )
              | ~ ( ( SV423 != SV197 )
                  | ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                    = ( hAPP_A588601142di_nat @ SV552 @ SV197 ) ) ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV197 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV423 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2855]) ).

thf(2908,plain,
    ! [SV206: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2856]) ).

thf(2909,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) ) )
        = $false )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2857]) ).

thf(2910,plain,
    ! [SV206: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2858]) ).

thf(2911,plain,
    ! [SV206: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2859]) ).

thf(2912,plain,
    ! [SV208: $i,SV431: $i,SV661: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV661 ) @ SV431 ) ) )
        = $true )
      | ( ( ! [SY1426: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1426 )
              | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1426 ) @ SV431 ) )
              | ( ( hAPP_A588601142di_nat @ SV208 @ SV661 )
               != ( hAPP_A588601142di_nat @ SV208 @ SY1426 ) )
              | ( SV661 = SY1426 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV661 )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2860]) ).

thf(2913,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( sK10_SY1247 @ SV208 @ SV431 ) ) @ SV431 ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2862]) ).

thf(2914,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ ( sK17_SY1427 @ SV208 @ SV431 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( sK17_SY1427 @ SV208 @ SV431 ) ) @ SV431 ) )
          | ( ( hAPP_A588601142di_nat @ SV208 @ ( sK10_SY1247 @ SV208 @ SV431 ) )
           != ( hAPP_A588601142di_nat @ SV208 @ ( sK17_SY1427 @ SV208 @ SV431 ) ) )
          | ( ( sK10_SY1247 @ SV208 @ SV431 )
            = ( sK17_SY1427 @ SV208 @ SV431 ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2863]) ).

thf(2915,plain,
    ! [SV213: $i,SV658: $i,SV665: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) ) )
        = $true )
      | ( ( ! [SY1437: $i,SY1438: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1437 )
                    | ~ ( is_Arr553848933le_alt @ SY1438 ) )
              | ~ ! [SY1439: $i] :
                    ( ~ ( is_Arr625519182e_indi @ SY1439 )
                    | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1439 ) ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1439 ) ) ) )
                        | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1439 ) ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1439 ) ) ) ) ) )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2864]) ).

thf(2916,plain,
    ! [SV213: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ ( sK13_SY1419 @ SV213 ) ) @ arrow_413697182e_Prof ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2865]) ).

thf(2917,plain,
    ! [SV213: $i] :
      ( ( ( ! [SY1441: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ ( sK18_SY1430 @ SV213 ) )
                    | ~ ( is_Arr553848933le_alt @ SY1441 ) )
              | ~ ! [SY1442: $i] :
                    ( ~ ( is_Arr625519182e_indi @ SY1442 )
                    | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ SY1441 ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SY1442 ) ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ SY1441 ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SY1442 ) ) ) )
                        | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ SY1441 ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SY1442 ) ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ SY1441 ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SY1442 ) ) ) ) ) )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ SY1441 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ SY1441 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ SY1441 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ SY1441 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2866]) ).

thf(2918,plain,
    ! [SV440: $i,SV219: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ ( sK14_SY1423 @ SV219 @ SV440 ) )
                | ~ ( is_Arr553848933le_alt @ ( sK16_SY1433 @ SV440 @ SV219 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2867]) ).

thf(2919,plain,
    ! [SV440: $i,SV219: $i] :
      ( ( ( ~ ( ( ( sK14_SY1423 @ SV219 @ SV440 )
               != ( sK16_SY1433 @ SV440 @ SV219 ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK14_SY1423 @ SV219 @ SV440 ) @ ( sK16_SY1433 @ SV440 @ SV219 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK7_SY1254 @ SV440 @ SV219 ) @ SV219 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK14_SY1423 @ SV219 @ SV440 ) @ ( sK16_SY1433 @ SV440 @ SV219 ) ) ) @ ( hAPP_f695124765t_bool @ SV440 @ ( sK7_SY1254 @ SV440 @ SV219 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2867]) ).

thf(2920,plain,
    ! [SV446: $i,SV225: $i,SV562: $i] :
      ( ( ( hBOOL @ ( inj_on24934938di_nat @ SV562 @ top_to1256827021i_bool ) )
        = $false )
      | ( ( ( ( hAPP_A588601142di_nat @ SV562 @ SV225 )
           != ( hAPP_A588601142di_nat @ SV562 @ SV446 ) )
          | ( SV225 = SV446 ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV225 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV446 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2870]) ).

thf(2921,plain,
    ! [SV634: $i,SV564: $i,SV449: $i,SV228: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV228 )
                | ~ ( is_Arr553848933le_alt @ SV449 ) ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV564 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV634 ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( produc171383831le_alt @ SV228 @ SV449 )
                   != ( produc171383831le_alt @ SV564 @ SV634 ) )
                  | ~ ( ( SV228 != SV564 )
                      | ( SV449 != SV634 ) ) )
              | ~ ( ~ ~ ( ( SV228 != SV564 )
                        | ( SV449 != SV634 ) )
                  | ( ( produc171383831le_alt @ SV228 @ SV449 )
                    = ( produc171383831le_alt @ SV564 @ SV634 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2871]) ).

thf(2922,plain,
    ! [SV229: $i,SV565: $i,SV450: $i] :
      ( ( ( SV450 != SV565 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV229 ) @ arrow_1239002508le_Lin ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV229 ) @ SV450 ) @ SV565 ) ) @ arrow_1239002508le_Lin ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV450 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV565 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2872]) ).

thf(2923,plain,
    ! [SV236: $i,SV456: $i,SV653: $i,SV637: $i,SV568: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV568 )
          | ~ ( is_Arr553848933le_alt @ SV637 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV653 ) )
        = $true )
      | ( ( ~ ( ( SV637 != SV653 ) )
          | ~ ( ( SV653 != SV568 ) )
          | ~ ( ( SV637 != SV568 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2874]) ).

thf(2924,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2875]) ).

thf(2925,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2876]) ).

thf(2926,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2877]) ).

thf(2927,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2878]) ).

thf(2928,plain,
    ! [SV252: $i,SV471: $i] :
      ( ( ( ~ ! [SY1287: $i,SY1288: $i] :
                ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1287 )
                      | ~ ( is_Arr553848933le_alt @ SY1288 ) )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) ) ) ) )
          | ( SV471 = SV252 ) )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2880]) ).

thf(2929,plain,
    ! [SV252: $i,SV471: $i] :
      ( ( ( ( SV471 != SV252 )
          | ! [SY1289: $i,SY1290: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1289 )
                    | ~ ( is_Arr553848933le_alt @ SY1290 ) )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) ) ) ) ) )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2881]) ).

thf(2930,plain,
    ! [SV78: $i,SV319: $i,SV654: $i,SV649: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV501 )
                | ~ ( is_Arr553848933le_alt @ SV587 ) )
          | ~ ( is_Arr553848933le_alt @ SV649 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV654 ) )
        = $true )
      | ( ( ~ ( ( SV649 != SV654 ) )
          | ~ ( ( SV501 != SV587 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2882]) ).

thf(2931,plain,
    ! [SV590: $i,SV86: $i,SV326: $i,SV504: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ SV504 @ SV326 )
          = SV86 )
        = $false )
      | ( ( ( hAPP_n385347014e_indi @ ( hilber1792103167di_nat @ SV590 @ SV504 ) @ SV86 )
          = SV326 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV326 ) @ SV590 ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV504 @ SV590 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV326 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2883]) ).

thf(2932,plain,
    ! [SV505: $i,SV591: $i,SV327: $i,SV87: $i] :
      ( ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV327 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV591 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                            | ~ ( ( SV87 != SV591 )
                                | ( SV87 != SV327 ) ) )
                      | ~ ( ~ ( ( SV87 != SV591 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                              | ~ ( ( SV87 != SV591 )
                                  | ( SV87 != SV327 ) ) )
                        | ~ ( ~ ( ( SV87 != SV591 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2884]) ).

thf(2933,plain,
    ! [SV599: $i,SV516: $i,SV346: $i,SV107: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ SV107 )
              | ~ ( is_Arr553848933le_alt @ SV346 ) ) )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV516 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV599 ) )
        = $true )
      | ( ( ( ( produc171383831le_alt @ SV107 @ SV346 )
           != ( produc171383831le_alt @ SV516 @ SV599 ) )
          | ~ ( ( SV107 != SV516 )
              | ( SV346 != SV599 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2887]) ).

thf(2934,plain,
    ! [SV519: $i,SV650: $i,SV602: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV113 )
                | ~ ( is_Arr553848933le_alt @ SV352 ) ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV602 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV650 ) )
        = $true )
      | ( ( ~ ( ( SV602 != SV650 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                            | ~ ( ( SV113 != SV650 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                      | ~ ( ~ ( ( SV113 != SV650 ) )
                          | ~ ( ~ ( ( SV352 != SV650 )
                                  | ( SV113 = SV602 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                              | ~ ( ~ ( ( SV352 != SV650 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SV650 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SV650 ) )
                            | ~ ( ~ ( ( SV352 != SV650 )
                                    | ( SV113 = SV602 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                                | ~ ( ~ ( ( SV352 != SV650 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2888]) ).

thf(2935,plain,
    ! [SV127: $i,SV363: $i,SV655: $i,SV651: $i,SV608: $i,SV525: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV525 )
                | ~ ( is_Arr553848933le_alt @ SV608 ) )
          | ~ ( is_Arr553848933le_alt @ SV651 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV655 ) )
        = $true )
      | ( ( ~ ( ( SV651 != SV655 ) )
          | ~ ( ( SV525 != SV608 ) )
          | ~ ( ( SV651 != SV608 ) )
          | ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2889]) ).

thf(2936,plain,
    ! [SV132: $i,SV662: $i,SV659: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV659 )
          | ~ ( is_Arr553848933le_alt @ SV662 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ SV659 @ SV662 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( sK3_SY855 @ SV132 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2890]) ).

thf(2937,plain,
    ! [SV132: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ ( sK4_SY858 @ SV132 ) ) )
        = $false )
      | ( ( ! [SY860: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY860 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2891]) ).

thf(2938,plain,
    ! [SV132: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ ( sK8_SY1408 @ SV132 ) ) )
        = $false )
      | ( ( ! [SY860: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY860 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2891]) ).

thf(2939,plain,
    ! [SV133: $i,SV368: $i,SV656: $i,SV652: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV528 )
                | ~ ( is_Arr553848933le_alt @ SV610 ) )
          | ~ ( is_Arr553848933le_alt @ SV652 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV656 ) )
        = $true )
      | ( ( ~ ( ( SV652 != SV656 ) )
          | ~ ( ( SV528 != SV610 ) )
          | ~ ( ( SV652 != SV610 ) )
          | ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2892]) ).

thf(2940,plain,
    ! [SV143: $i] :
      ( ( ( hBOOL @ SV143 )
        = $false )
      | ( ( hBOOL @ top_top_bool )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2893]) ).

thf(2941,plain,
    ! [SV143: $i] :
      ( ( ( hBOOL @ top_top_bool )
        = $false )
      | ( ( hBOOL @ SV143 )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2894]) ).

thf(2942,plain,
    ! [SV143: $i] :
      ( ( ( hBOOL @ SV143 )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ top_top_bool )
              | ( hBOOL @ SV143 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2895]) ).

thf(2943,plain,
    ! [SV143: $i] :
      ( ( ( ~ ( hBOOL @ top_top_bool )
          | ( hBOOL @ SV143 ) )
        = $false )
      | ( ( hBOOL @ top_top_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2896]) ).

thf(2944,plain,
    ! [SV390: $i,SV158: $i,SV617: $i,SV537: $i] :
      ( ( ( hBOOL @ ( inj_on24934938di_nat @ SV537 @ SV617 ) )
        = $false )
      | ( ( ( ( hAPP_A588601142di_nat @ SV537 @ SV158 )
           != ( hAPP_A588601142di_nat @ SV537 @ SV390 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV158 ) @ SV617 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV390 ) @ SV617 ) )
          | ( SV158 = SV390 ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV158 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV390 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2897]) ).

thf(2945,plain,
    ! [SV392: $i,SV160: $i,SV539: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
               != ( hAPP_A588601142di_nat @ SV539 @ SV392 ) )
              | ( SV160 = SV392 ) )
          | ~ ( ( SV160 != SV392 )
              | ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
                = ( hAPP_A588601142di_nat @ SV539 @ SV392 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV539 @ top_to1256827021i_bool ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV160 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV392 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2898]) ).

thf(2946,plain,
    ! [SV162: $i,SV657: $i,SV666: $i,SV664: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV664 )
                | ~ ( is_Arr553848933le_alt @ SV666 ) ) )
        = $true )
      | ( ( ~ ! [SY1440: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1440 )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_A1374816149t_bool @ SV657 @ SY1440 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SV657 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV657 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2899]) ).

thf(2947,plain,
    ! [SV162: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ ( sK11_SY1412 @ SV162 ) )
              | ~ ( is_Arr553848933le_alt @ ( sK15_SY1428 @ SV162 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2900]) ).

thf(2948,plain,
    ! [SV162: $i] :
      ( ( ( ~ ! [SY1436: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1436 )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK11_SY1412 @ SV162 ) @ ( sK15_SY1428 @ SV162 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK5_SY917 @ SV162 ) @ SY1436 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2901]) ).

thf(2949,plain,
    ! [SV162: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK11_SY1412 @ SV162 ) @ ( sK15_SY1428 @ SV162 ) ) ) @ ( hAPP_f695124765t_bool @ SV162 @ ( sK5_SY917 @ SV162 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2901]) ).

thf(2950,plain,
    ! [SV399: $i,SV168: $i] :
      ( ( ( ! [SY1218: $i] :
              ~ ~ ( ~ ~ ( ~ ( is_fun282293932t_bool @ SY1218 )
                        | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SY1218 ) @ arrow_1239002508le_Lin ) ) )
                  | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV168 @ SV399 ) ) @ SY1218 ) ) ) )
        = $false )
      | ( ( SV168 = SV399 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV168 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV399 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2902]) ).

thf(2951,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( SV543 != SV620 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1394: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1394 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2903]) ).

thf(2952,plain,
    ! [SV547: $i,SV623: $i,SV417: $i,SV189: $i] :
      ( ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV417 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV623 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                            | ~ ( ( SV417 != SV623 )
                                | ( SV189 != SV417 ) ) )
                      | ~ ( ~ ( ( SV417 != SV623 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                              | ~ ( ( SV417 != SV623 )
                                  | ( SV189 != SV417 ) ) )
                        | ~ ( ~ ( ( SV417 != SV623 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2904]) ).

thf(2953,plain,
    ! [SV421: $i,SV193: $i,SV625: $i,SV550: $i] :
      ( ( ( hBOOL @ ( inj_on24934938di_nat @ SV550 @ SV625 ) )
        = $false )
      | ( ( ~ ( ( SV193 != SV421 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV193 ) @ SV625 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV421 ) @ SV625 ) )
          | ( ( hAPP_A588601142di_nat @ SV550 @ SV193 )
           != ( hAPP_A588601142di_nat @ SV550 @ SV421 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV193 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV421 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2905]) ).

thf(2954,plain,
    ! [SV551: $i,SV422: $i,SV196: $i] :
      ( ( ( ~ ( ( SV196 != SV422 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) )
                  | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV196 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV422 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2906]) ).

thf(2955,plain,
    ! [SV197: $i,SV423: $i,SV626: $i,SV552: $i] :
      ( ( ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                   != ( hAPP_A588601142di_nat @ SV552 @ SV197 ) )
                  | ( SV423 = SV197 ) )
              | ~ ( ( SV423 != SV197 )
                  | ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                    = ( hAPP_A588601142di_nat @ SV552 @ SV197 ) ) ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV197 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV423 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2907]) ).

thf(2956,plain,
    ! [SV206: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2909]) ).

thf(2957,plain,
    ! [SV206: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2910]) ).

thf(2958,plain,
    ! [SV206: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2911]) ).

thf(2959,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2911]) ).

thf(2960,plain,
    ! [SV208: $i,SV431: $i,SV661: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV661 ) @ SV431 ) )
        = $false )
      | ( ( ! [SY1426: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1426 )
              | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SY1426 ) @ SV431 ) )
              | ( ( hAPP_A588601142di_nat @ SV208 @ SV661 )
               != ( hAPP_A588601142di_nat @ SV208 @ SY1426 ) )
              | ( SV661 = SY1426 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV661 )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2912]) ).

thf(2961,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ ( sK17_SY1427 @ SV208 @ SV431 ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2914]) ).

thf(2962,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( sK17_SY1427 @ SV208 @ SV431 ) ) @ SV431 ) )
          | ( ( hAPP_A588601142di_nat @ SV208 @ ( sK10_SY1247 @ SV208 @ SV431 ) )
           != ( hAPP_A588601142di_nat @ SV208 @ ( sK17_SY1427 @ SV208 @ SV431 ) ) )
          | ( ( sK10_SY1247 @ SV208 @ SV431 )
            = ( sK17_SY1427 @ SV208 @ SV431 ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2914]) ).

thf(2963,plain,
    ! [SV213: $i,SV658: $i,SV665: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( ! [SY1437: $i,SY1438: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1437 )
                    | ~ ( is_Arr553848933le_alt @ SY1438 ) )
              | ~ ! [SY1439: $i] :
                    ( ~ ( is_Arr625519182e_indi @ SY1439 )
                    | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1439 ) ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1439 ) ) ) )
                        | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1439 ) ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1439 ) ) ) ) ) )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1437 @ SY1438 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2915]) ).

thf(2964,plain,
    ! [SV213: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ ( sK18_SY1430 @ SV213 ) )
                | ~ ( is_Arr553848933le_alt @ ( sK19_SY1441 @ SV213 ) ) )
          | ~ ! [SY1443: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1443 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SY1443 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SY1443 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SY1443 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SY1443 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2917]) ).

thf(2965,plain,
    ! [SV440: $i,SV219: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ ( sK14_SY1423 @ SV219 @ SV440 ) )
              | ~ ( is_Arr553848933le_alt @ ( sK16_SY1433 @ SV440 @ SV219 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2918]) ).

thf(2966,plain,
    ! [SV440: $i,SV219: $i] :
      ( ( ( ~ ( ( ( sK14_SY1423 @ SV219 @ SV440 )
               != ( sK16_SY1433 @ SV440 @ SV219 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2919]) ).

thf(2967,plain,
    ! [SV440: $i,SV219: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK14_SY1423 @ SV219 @ SV440 ) @ ( sK16_SY1433 @ SV440 @ SV219 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK7_SY1254 @ SV440 @ SV219 ) @ SV219 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK14_SY1423 @ SV219 @ SV440 ) @ ( sK16_SY1433 @ SV440 @ SV219 ) ) ) @ ( hAPP_f695124765t_bool @ SV440 @ ( sK7_SY1254 @ SV440 @ SV219 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2919]) ).

thf(2968,plain,
    ! [SV446: $i,SV225: $i,SV562: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ SV562 @ SV225 )
         != ( hAPP_A588601142di_nat @ SV562 @ SV446 ) )
        = $true )
      | ( ( SV225 = SV446 )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV562 @ top_to1256827021i_bool ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV225 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV446 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2920]) ).

thf(2969,plain,
    ! [SV634: $i,SV564: $i,SV449: $i,SV228: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ SV228 )
              | ~ ( is_Arr553848933le_alt @ SV449 ) ) )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV564 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV634 ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( produc171383831le_alt @ SV228 @ SV449 )
                   != ( produc171383831le_alt @ SV564 @ SV634 ) )
                  | ~ ( ( SV228 != SV564 )
                      | ( SV449 != SV634 ) ) )
              | ~ ( ~ ~ ( ( SV228 != SV564 )
                        | ( SV449 != SV634 ) )
                  | ( ( produc171383831le_alt @ SV228 @ SV449 )
                    = ( produc171383831le_alt @ SV564 @ SV634 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2921]) ).

thf(2970,plain,
    ! [SV229: $i,SV565: $i,SV450: $i] :
      ( ( ( SV450 = SV565 )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV229 ) @ arrow_1239002508le_Lin ) )
          | ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV229 ) @ SV450 ) @ SV565 ) ) @ arrow_1239002508le_Lin ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV450 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV565 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2922]) ).

thf(2971,plain,
    ! [SV236: $i,SV456: $i,SV653: $i,SV637: $i,SV568: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV568 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV637 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV653 ) )
        = $true )
      | ( ( ~ ( ( SV637 != SV653 ) )
          | ~ ( ( SV653 != SV568 ) )
          | ~ ( ( SV637 != SV568 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2923]) ).

thf(2972,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2924]) ).

thf(2973,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2925]) ).

thf(2974,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2925]) ).

thf(2975,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2926]) ).

thf(2976,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2927]) ).

thf(2977,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2927]) ).

thf(2978,plain,
    ! [SV252: $i,SV471: $i] :
      ( ( ( ~ ! [SY1287: $i,SY1288: $i] :
                ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1287 )
                      | ~ ( is_Arr553848933le_alt @ SY1288 ) )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) ) ) ) ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2928]) ).

thf(2979,plain,
    ! [SV252: $i,SV471: $i] :
      ( ( ( SV471 != SV252 )
        = $true )
      | ( ( ! [SY1289: $i,SY1290: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1289 )
                    | ~ ( is_Arr553848933le_alt @ SY1290 ) )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) ) ) ) ) )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2929]) ).

thf(2980,plain,
    ! [SV78: $i,SV319: $i,SV654: $i,SV649: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV501 )
                | ~ ( is_Arr553848933le_alt @ SV587 ) ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV649 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV654 ) )
        = $true )
      | ( ( ~ ( ( SV649 != SV654 ) )
          | ~ ( ( SV501 != SV587 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2930]) ).

thf(2981,plain,
    ! [SV505: $i,SV591: $i,SV87: $i,SV327: $i] :
      ( ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV591 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                            | ~ ( ( SV87 != SV591 )
                                | ( SV87 != SV327 ) ) )
                      | ~ ( ~ ( ( SV87 != SV591 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                              | ~ ( ( SV87 != SV591 )
                                  | ( SV87 != SV327 ) ) )
                        | ~ ( ~ ( ( SV87 != SV591 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2932]) ).

thf(2982,plain,
    ! [SV599: $i,SV516: $i,SV346: $i,SV107: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV107 )
          | ~ ( is_Arr553848933le_alt @ SV346 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV516 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV599 ) )
        = $true )
      | ( ( ( ( produc171383831le_alt @ SV107 @ SV346 )
           != ( produc171383831le_alt @ SV516 @ SV599 ) )
          | ~ ( ( SV107 != SV516 )
              | ( SV346 != SV599 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2933]) ).

thf(2983,plain,
    ! [SV519: $i,SV650: $i,SV602: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ SV113 )
              | ~ ( is_Arr553848933le_alt @ SV352 ) ) )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV602 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV650 ) )
        = $true )
      | ( ( ~ ( ( SV602 != SV650 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                            | ~ ( ( SV113 != SV650 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                      | ~ ( ~ ( ( SV113 != SV650 ) )
                          | ~ ( ~ ( ( SV352 != SV650 )
                                  | ( SV113 = SV602 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                              | ~ ( ~ ( ( SV352 != SV650 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SV650 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SV650 ) )
                            | ~ ( ~ ( ( SV352 != SV650 )
                                    | ( SV113 = SV602 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                                | ~ ( ~ ( ( SV352 != SV650 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2934]) ).

thf(2984,plain,
    ! [SV127: $i,SV363: $i,SV655: $i,SV651: $i,SV608: $i,SV525: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV525 )
                | ~ ( is_Arr553848933le_alt @ SV608 ) ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV651 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV655 ) )
        = $true )
      | ( ( ~ ( ( SV651 != SV655 ) )
          | ~ ( ( SV525 != SV608 ) )
          | ~ ( ( SV651 != SV608 ) )
          | ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2935]) ).

thf(2985,plain,
    ! [SV132: $i,SV662: $i,SV659: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV659 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV662 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ SV659 @ SV662 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( sK3_SY855 @ SV132 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2936]) ).

thf(2986,plain,
    ! [SV132: $i] :
      ( ( ( is_Arr553848933le_alt @ ( sK4_SY858 @ SV132 ) )
        = $true )
      | ( ( ! [SY860: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY860 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2937]) ).

thf(2987,plain,
    ! [SV132: $i] :
      ( ( ( is_Arr553848933le_alt @ ( sK8_SY1408 @ SV132 ) )
        = $true )
      | ( ( ! [SY860: $i] : ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SY860 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2938]) ).

thf(2988,plain,
    ! [SV133: $i,SV368: $i,SV656: $i,SV652: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV528 )
                | ~ ( is_Arr553848933le_alt @ SV610 ) ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV652 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV656 ) )
        = $true )
      | ( ( ~ ( ( SV652 != SV656 ) )
          | ~ ( ( SV528 != SV610 ) )
          | ~ ( ( SV652 != SV610 ) )
          | ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2939]) ).

thf(2989,plain,
    ! [SV143: $i] :
      ( ( ( ~ ( hBOOL @ top_top_bool )
          | ( hBOOL @ SV143 ) )
        = $false )
      | ( ( hBOOL @ SV143 )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2942]) ).

thf(2990,plain,
    ! [SV143: $i] :
      ( ( ( ~ ( hBOOL @ top_top_bool ) )
        = $false )
      | ( ( hBOOL @ top_top_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2943]) ).

thf(2991,plain,
    ! [SV143: $i] :
      ( ( ( hBOOL @ SV143 )
        = $false )
      | ( ( hBOOL @ top_top_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2943]) ).

thf(2992,plain,
    ! [SV617: $i,SV390: $i,SV158: $i,SV537: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ SV537 @ SV158 )
         != ( hAPP_A588601142di_nat @ SV537 @ SV390 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV158 ) @ SV617 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV390 ) @ SV617 ) )
          | ( SV158 = SV390 ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV537 @ SV617 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV158 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV390 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2944]) ).

thf(2993,plain,
    ! [SV392: $i,SV160: $i,SV539: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
               != ( hAPP_A588601142di_nat @ SV539 @ SV392 ) )
              | ( SV160 = SV392 ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV539 @ top_to1256827021i_bool ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV160 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV392 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2945]) ).

thf(2994,plain,
    ! [SV539: $i,SV392: $i,SV160: $i] :
      ( ( ( ~ ( ( SV160 != SV392 )
              | ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
                = ( hAPP_A588601142di_nat @ SV539 @ SV392 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV539 @ top_to1256827021i_bool ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV160 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV392 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2945]) ).

thf(2995,plain,
    ! [SV162: $i,SV657: $i,SV666: $i,SV664: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ SV664 )
              | ~ ( is_Arr553848933le_alt @ SV666 ) ) )
        = $false )
      | ( ( ~ ! [SY1440: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1440 )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_A1374816149t_bool @ SV657 @ SY1440 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SV657 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV657 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2946]) ).

thf(2996,plain,
    ! [SV162: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ ( sK11_SY1412 @ SV162 ) )
          | ~ ( is_Arr553848933le_alt @ ( sK15_SY1428 @ SV162 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2947]) ).

thf(2997,plain,
    ! [SV162: $i] :
      ( ( ( ! [SY1436: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1436 )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK11_SY1412 @ SV162 ) @ ( sK15_SY1428 @ SV162 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK5_SY917 @ SV162 ) @ SY1436 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2948]) ).

thf(2998,plain,
    ! [SV168: $i,SV399: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( is_fun282293932t_bool @ ( sK20_SY1218 @ SV399 @ SV168 ) )
                      | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( sK20_SY1218 @ SV399 @ SV168 ) ) @ arrow_1239002508le_Lin ) ) )
                | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV168 @ SV399 ) ) @ ( sK20_SY1218 @ SV399 @ SV168 ) ) ) ) )
        = $false )
      | ( ( SV168 = SV399 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV168 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV399 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[2950]) ).

thf(2999,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( SV543 = SV620 )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1394: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1394 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2951]) ).

thf(3000,plain,
    ! [SV547: $i,SV623: $i,SV189: $i,SV417: $i] :
      ( ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV623 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                            | ~ ( ( SV417 != SV623 )
                                | ( SV189 != SV417 ) ) )
                      | ~ ( ~ ( ( SV417 != SV623 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                              | ~ ( ( SV417 != SV623 )
                                  | ( SV189 != SV417 ) ) )
                        | ~ ( ~ ( ( SV417 != SV623 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2952]) ).

thf(3001,plain,
    ! [SV550: $i,SV625: $i,SV421: $i,SV193: $i] :
      ( ( ( ~ ( ( SV193 != SV421 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV193 ) @ SV625 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV421 ) @ SV625 ) )
          | ( ( hAPP_A588601142di_nat @ SV550 @ SV193 )
           != ( hAPP_A588601142di_nat @ SV550 @ SV421 ) ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV550 @ SV625 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV193 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV421 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2953]) ).

thf(3002,plain,
    ! [SV551: $i,SV422: $i,SV196: $i] :
      ( ( ( SV196 != SV422 )
        = $false )
      | ( ( ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) )
                  | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV196 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV422 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2954]) ).

thf(3003,plain,
    ! [SV552: $i,SV197: $i,SV626: $i,SV423: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                   != ( hAPP_A588601142di_nat @ SV552 @ SV197 ) )
                  | ( SV423 = SV197 ) )
              | ~ ( ( SV423 != SV197 )
                  | ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                    = ( hAPP_A588601142di_nat @ SV552 @ SV197 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV197 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV423 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2955]) ).

thf(3004,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
               != n )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2956]) ).

thf(3005,plain,
    ! [SV206: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2957]) ).

thf(3006,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2957]) ).

thf(3007,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2958]) ).

thf(3008,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
               != n )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2959]) ).

thf(3009,plain,
    ! [SV661: $i,SV208: $i,SV431: $i,SV667: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV667 )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV667 ) @ SV431 ) )
          | ( ( hAPP_A588601142di_nat @ SV208 @ SV661 )
           != ( hAPP_A588601142di_nat @ SV208 @ SV667 ) )
          | ( SV661 = SV667 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV661 ) @ SV431 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV661 )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2960]) ).

thf(3010,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ( is_Arr625519182e_indi @ ( sK17_SY1427 @ SV208 @ SV431 ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2961]) ).

thf(3011,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( sK17_SY1427 @ SV208 @ SV431 ) ) @ SV431 ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2962]) ).

thf(3012,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ( ( ( hAPP_A588601142di_nat @ SV208 @ ( sK10_SY1247 @ SV208 @ SV431 ) )
           != ( hAPP_A588601142di_nat @ SV208 @ ( sK17_SY1427 @ SV208 @ SV431 ) ) )
          | ( ( sK10_SY1247 @ SV208 @ SV431 )
            = ( sK17_SY1427 @ SV208 @ SV431 ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2962]) ).

thf(3013,plain,
    ! [SV213: $i,SV665: $i,SV658: $i,SV668: $i] :
      ( ( ( ! [SY1444: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV668 )
                    | ~ ( is_Arr553848933le_alt @ SY1444 ) )
              | ~ ! [SY1445: $i] :
                    ( ~ ( is_Arr625519182e_indi @ SY1445 )
                    | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SY1444 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1445 ) ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SY1444 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1445 ) ) ) )
                        | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SY1444 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1445 ) ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SY1444 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1445 ) ) ) ) ) )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SY1444 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SY1444 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SY1444 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SY1444 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2963]) ).

thf(3014,plain,
    ! [SV213: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ ( sK18_SY1430 @ SV213 ) )
                | ~ ( is_Arr553848933le_alt @ ( sK19_SY1441 @ SV213 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2964]) ).

thf(3015,plain,
    ! [SV213: $i] :
      ( ( ( ~ ! [SY1443: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1443 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SY1443 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SY1443 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SY1443 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SY1443 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2964]) ).

thf(3016,plain,
    ! [SV440: $i,SV219: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ ( sK14_SY1423 @ SV219 @ SV440 ) )
          | ~ ( is_Arr553848933le_alt @ ( sK16_SY1433 @ SV440 @ SV219 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2965]) ).

thf(3017,plain,
    ! [SV440: $i,SV219: $i] :
      ( ( ( ( sK14_SY1423 @ SV219 @ SV440 )
         != ( sK16_SY1433 @ SV440 @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2966]) ).

thf(3018,plain,
    ! [SV440: $i,SV219: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK14_SY1423 @ SV219 @ SV440 ) @ ( sK16_SY1433 @ SV440 @ SV219 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK7_SY1254 @ SV440 @ SV219 ) @ SV219 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2967]) ).

thf(3019,plain,
    ! [SV440: $i,SV219: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK14_SY1423 @ SV219 @ SV440 ) @ ( sK16_SY1433 @ SV440 @ SV219 ) ) ) @ ( hAPP_f695124765t_bool @ SV440 @ ( sK7_SY1254 @ SV440 @ SV219 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2967]) ).

thf(3020,plain,
    ! [SV446: $i,SV225: $i,SV562: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ SV562 @ SV225 )
          = ( hAPP_A588601142di_nat @ SV562 @ SV446 ) )
        = $false )
      | ( ( SV225 = SV446 )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV562 @ top_to1256827021i_bool ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV225 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV446 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2968]) ).

thf(3021,plain,
    ! [SV634: $i,SV564: $i,SV449: $i,SV228: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV228 )
          | ~ ( is_Arr553848933le_alt @ SV449 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV564 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV634 ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( produc171383831le_alt @ SV228 @ SV449 )
                   != ( produc171383831le_alt @ SV564 @ SV634 ) )
                  | ~ ( ( SV228 != SV564 )
                      | ( SV449 != SV634 ) ) )
              | ~ ( ~ ~ ( ( SV228 != SV564 )
                        | ( SV449 != SV634 ) )
                  | ( ( produc171383831le_alt @ SV228 @ SV449 )
                    = ( produc171383831le_alt @ SV564 @ SV634 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2969]) ).

thf(3022,plain,
    ! [SV565: $i,SV450: $i,SV229: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV229 ) @ arrow_1239002508le_Lin ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV229 ) @ SV450 ) @ SV565 ) ) @ arrow_1239002508le_Lin ) )
        = $true )
      | ( ( SV450 = SV565 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV450 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV565 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2970]) ).

thf(3023,plain,
    ! [SV236: $i,SV456: $i,SV653: $i,SV637: $i,SV568: $i] :
      ( ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV637 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV653 ) )
        = $true )
      | ( ( ~ ( ( SV637 != SV653 ) )
          | ~ ( ( SV653 != SV568 ) )
          | ~ ( ( SV637 != SV568 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2971]) ).

thf(3024,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2972]) ).

thf(3025,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2972]) ).

thf(3026,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2973]) ).

thf(3027,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2974]) ).

thf(3028,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2975]) ).

thf(3029,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2975]) ).

thf(3030,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2976]) ).

thf(3031,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
          | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2977]) ).

thf(3032,plain,
    ! [SV252: $i,SV471: $i] :
      ( ( ( ! [SY1287: $i,SY1288: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1287 )
                    | ~ ( is_Arr553848933le_alt @ SY1288 ) )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV252 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1287 @ SY1288 ) ) @ SV471 ) ) ) ) ) )
        = $false )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2978]) ).

thf(3033,plain,
    ! [SV252: $i,SV471: $i] :
      ( ( ( SV471 = SV252 )
        = $false )
      | ( ( ! [SY1289: $i,SY1290: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SY1289 )
                    | ~ ( is_Arr553848933le_alt @ SY1290 ) )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV252 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SY1289 @ SY1290 ) ) @ SV471 ) ) ) ) ) )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2979]) ).

thf(3034,plain,
    ! [SV78: $i,SV319: $i,SV654: $i,SV649: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ SV501 )
              | ~ ( is_Arr553848933le_alt @ SV587 ) ) )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV649 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV654 ) )
        = $true )
      | ( ( ~ ( ( SV649 != SV654 ) )
          | ~ ( ( SV501 != SV587 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2980]) ).

thf(3035,plain,
    ! [SV505: $i,SV327: $i,SV87: $i,SV591: $i] :
      ( ( ( is_Arr553848933le_alt @ SV591 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                            | ~ ( ( SV87 != SV591 )
                                | ( SV87 != SV327 ) ) )
                      | ~ ( ~ ( ( SV87 != SV591 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                              | ~ ( ( SV87 != SV591 )
                                  | ( SV87 != SV327 ) ) )
                        | ~ ( ~ ( ( SV87 != SV591 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2981]) ).

thf(3036,plain,
    ! [SV599: $i,SV516: $i,SV346: $i,SV107: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV107 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV346 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV516 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV599 ) )
        = $true )
      | ( ( ( ( produc171383831le_alt @ SV107 @ SV346 )
           != ( produc171383831le_alt @ SV516 @ SV599 ) )
          | ~ ( ( SV107 != SV516 )
              | ( SV346 != SV599 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2982]) ).

thf(3037,plain,
    ! [SV519: $i,SV650: $i,SV602: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV113 )
          | ~ ( is_Arr553848933le_alt @ SV352 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV602 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV650 ) )
        = $true )
      | ( ( ~ ( ( SV602 != SV650 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                            | ~ ( ( SV113 != SV650 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                      | ~ ( ~ ( ( SV113 != SV650 ) )
                          | ~ ( ~ ( ( SV352 != SV650 )
                                  | ( SV113 = SV602 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                              | ~ ( ~ ( ( SV352 != SV650 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SV650 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SV650 ) )
                            | ~ ( ~ ( ( SV352 != SV650 )
                                    | ( SV113 = SV602 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                                | ~ ( ~ ( ( SV352 != SV650 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2983]) ).

thf(3038,plain,
    ! [SV127: $i,SV363: $i,SV655: $i,SV651: $i,SV608: $i,SV525: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ SV525 )
              | ~ ( is_Arr553848933le_alt @ SV608 ) ) )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV651 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV655 ) )
        = $true )
      | ( ( ~ ( ( SV651 != SV655 ) )
          | ~ ( ( SV525 != SV608 ) )
          | ~ ( ( SV651 != SV608 ) )
          | ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2984]) ).

thf(3039,plain,
    ! [SV132: $i,SV662: $i,SV659: $i] :
      ( ( ( is_Arr553848933le_alt @ SV659 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV662 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ SV659 @ SV662 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( sK3_SY855 @ SV132 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2985]) ).

thf(3040,plain,
    ! [SV669: $i,SV132: $i] :
      ( ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SV669 ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ ( sK4_SY858 @ SV132 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2986]) ).

thf(3041,plain,
    ! [SV670: $i,SV132: $i] :
      ( ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ SV670 ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ ( sK8_SY1408 @ SV132 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2987]) ).

thf(3042,plain,
    ! [SV133: $i,SV368: $i,SV656: $i,SV652: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ SV528 )
              | ~ ( is_Arr553848933le_alt @ SV610 ) ) )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV652 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV656 ) )
        = $true )
      | ( ( ~ ( ( SV652 != SV656 ) )
          | ~ ( ( SV528 != SV610 ) )
          | ~ ( ( SV652 != SV610 ) )
          | ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2988]) ).

thf(3043,plain,
    ! [SV143: $i] :
      ( ( ( ~ ( hBOOL @ top_top_bool ) )
        = $false )
      | ( ( hBOOL @ SV143 )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2989]) ).

thf(3044,plain,
    ! [SV143: $i] :
      ( ( ( hBOOL @ SV143 )
        = $false )
      | ( ( hBOOL @ SV143 )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2989]) ).

thf(3045,plain,
    ! [SV143: $i] :
      ( ( ( hBOOL @ top_top_bool )
        = $true )
      | ( ( hBOOL @ top_top_bool )
        = $false )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2990]) ).

thf(3046,plain,
    ! [SV617: $i,SV390: $i,SV158: $i,SV537: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ SV537 @ SV158 )
          = ( hAPP_A588601142di_nat @ SV537 @ SV390 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV158 ) @ SV617 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV390 ) @ SV617 ) )
          | ( SV158 = SV390 ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV537 @ SV617 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV158 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV390 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2992]) ).

thf(3047,plain,
    ! [SV392: $i,SV160: $i,SV539: $i] :
      ( ( ( ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
           != ( hAPP_A588601142di_nat @ SV539 @ SV392 ) )
          | ( SV160 = SV392 ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV539 @ top_to1256827021i_bool ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV160 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV392 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2993]) ).

thf(3048,plain,
    ! [SV539: $i,SV392: $i,SV160: $i] :
      ( ( ( ( SV160 != SV392 )
          | ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
            = ( hAPP_A588601142di_nat @ SV539 @ SV392 ) ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV539 @ top_to1256827021i_bool ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV160 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV392 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2994]) ).

thf(3049,plain,
    ! [SV162: $i,SV657: $i,SV666: $i,SV664: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV664 )
          | ~ ( is_Arr553848933le_alt @ SV666 ) )
        = $true )
      | ( ( ~ ! [SY1440: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1440 )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_A1374816149t_bool @ SV657 @ SY1440 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SV657 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV657 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2995]) ).

thf(3050,plain,
    ! [SV162: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ ( sK11_SY1412 @ SV162 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2996]) ).

thf(3051,plain,
    ! [SV162: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ ( sK15_SY1428 @ SV162 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2996]) ).

thf(3052,plain,
    ! [SV162: $i,SV671: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV671 )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK11_SY1412 @ SV162 ) @ ( sK15_SY1428 @ SV162 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK5_SY917 @ SV162 ) @ SV671 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2997]) ).

thf(3053,plain,
    ! [SV168: $i,SV399: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( is_fun282293932t_bool @ ( sK20_SY1218 @ SV399 @ SV168 ) )
                    | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( sK20_SY1218 @ SV399 @ SV168 ) ) @ arrow_1239002508le_Lin ) ) )
              | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV168 @ SV399 ) ) @ ( sK20_SY1218 @ SV399 @ SV168 ) ) ) ) )
        = $true )
      | ( ( SV168 = SV399 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV168 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV399 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2998]) ).

thf(3054,plain,
    ! [SV620: $i,SV543: $i,SV173: $i,SV404: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1394: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1394 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2999]) ).

thf(3055,plain,
    ! [SV547: $i,SV417: $i,SV189: $i,SV623: $i] :
      ( ( ( is_Arr553848933le_alt @ SV623 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                            | ~ ( ( SV417 != SV623 )
                                | ( SV189 != SV417 ) ) )
                      | ~ ( ~ ( ( SV417 != SV623 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                              | ~ ( ( SV417 != SV623 )
                                  | ( SV189 != SV417 ) ) )
                        | ~ ( ~ ( ( SV417 != SV623 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3000]) ).

thf(3056,plain,
    ! [SV550: $i,SV625: $i,SV421: $i,SV193: $i] :
      ( ( ( SV193 != SV421 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV193 ) @ SV625 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV421 ) @ SV625 ) )
          | ( ( hAPP_A588601142di_nat @ SV550 @ SV193 )
           != ( hAPP_A588601142di_nat @ SV550 @ SV421 ) ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV550 @ SV625 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV193 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV421 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3001]) ).

thf(3057,plain,
    ! [SV551: $i,SV422: $i,SV196: $i] :
      ( ( ( SV196 = SV422 )
        = $true )
      | ( ( ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) )
                  | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV196 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV422 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3002]) ).

thf(3058,plain,
    ! [SV552: $i,SV197: $i,SV626: $i,SV423: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                   != ( hAPP_A588601142di_nat @ SV552 @ SV197 ) )
                  | ( SV423 = SV197 ) )
              | ~ ( ( SV423 != SV197 )
                  | ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                    = ( hAPP_A588601142di_nat @ SV552 @ SV197 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV197 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV423 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3003]) ).

thf(3059,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
               != n )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3004]) ).

thf(3060,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3004]) ).

thf(3061,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3005]) ).

thf(3062,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
               != n )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3006]) ).

thf(3063,plain,
    ! [SV206: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3007]) ).

thf(3064,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
               != n )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3008]) ).

thf(3065,plain,
    ! [SV661: $i,SV208: $i,SV431: $i,SV667: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV667 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV667 ) @ SV431 ) )
          | ( ( hAPP_A588601142di_nat @ SV208 @ SV661 )
           != ( hAPP_A588601142di_nat @ SV208 @ SV667 ) )
          | ( SV661 = SV667 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV661 ) @ SV431 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV661 )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3009]) ).

thf(3066,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ ( sK17_SY1427 @ SV208 @ SV431 ) ) @ SV431 ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3011]) ).

thf(3067,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ SV208 @ ( sK10_SY1247 @ SV208 @ SV431 ) )
         != ( hAPP_A588601142di_nat @ SV208 @ ( sK17_SY1427 @ SV208 @ SV431 ) ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3012]) ).

thf(3068,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ( ( sK10_SY1247 @ SV208 @ SV431 )
          = ( sK17_SY1427 @ SV208 @ SV431 ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3012]) ).

thf(3069,plain,
    ! [SV213: $i,SV665: $i,SV658: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV668 )
                | ~ ( is_Arr553848933le_alt @ SV672 ) )
          | ~ ! [SY1446: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1446 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1446 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1446 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1446 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1446 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3013]) ).

thf(3070,plain,
    ! [SV213: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ ( sK18_SY1430 @ SV213 ) )
              | ~ ( is_Arr553848933le_alt @ ( sK19_SY1441 @ SV213 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3014]) ).

thf(3071,plain,
    ! [SV213: $i] :
      ( ( ( ~ ! [SY1443: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1443 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SY1443 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SY1443 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SY1443 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SY1443 ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3015]) ).

thf(3072,plain,
    ! [SV213: $i] :
      ( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3015]) ).

thf(3073,plain,
    ! [SV440: $i,SV219: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ ( sK14_SY1423 @ SV219 @ SV440 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3016]) ).

thf(3074,plain,
    ! [SV219: $i,SV440: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ ( sK16_SY1433 @ SV440 @ SV219 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3016]) ).

thf(3075,plain,
    ! [SV440: $i,SV219: $i] :
      ( ( ( ( sK14_SY1423 @ SV219 @ SV440 )
          = ( sK16_SY1433 @ SV440 @ SV219 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3017]) ).

thf(3076,plain,
    ! [SV440: $i,SV219: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK14_SY1423 @ SV219 @ SV440 ) @ ( sK16_SY1433 @ SV440 @ SV219 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK7_SY1254 @ SV440 @ SV219 ) @ SV219 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3018]) ).

thf(3077,plain,
    ! [SV634: $i,SV564: $i,SV449: $i,SV228: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV228 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV449 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV564 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV634 ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( produc171383831le_alt @ SV228 @ SV449 )
                   != ( produc171383831le_alt @ SV564 @ SV634 ) )
                  | ~ ( ( SV228 != SV564 )
                      | ( SV449 != SV634 ) ) )
              | ~ ( ~ ~ ( ( SV228 != SV564 )
                        | ( SV449 != SV634 ) )
                  | ( ( produc171383831le_alt @ SV228 @ SV449 )
                    = ( produc171383831le_alt @ SV564 @ SV634 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3021]) ).

thf(3078,plain,
    ! [SV565: $i,SV450: $i,SV229: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV229 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV229 ) @ SV450 ) @ SV565 ) ) @ arrow_1239002508le_Lin ) )
        = $true )
      | ( ( SV450 = SV565 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV450 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV565 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3022]) ).

thf(3079,plain,
    ! [SV236: $i,SV456: $i,SV653: $i,SV568: $i,SV637: $i] :
      ( ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV653 ) )
        = $true )
      | ( ( ~ ( ( SV637 != SV653 ) )
          | ~ ( ( SV653 != SV568 ) )
          | ~ ( ( SV637 != SV568 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3023]) ).

thf(3080,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3024]) ).

thf(3081,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3025]) ).

thf(3082,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3026]) ).

thf(3083,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3027]) ).

thf(3084,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3028]) ).

thf(3085,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
          | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3029]) ).

thf(3086,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3030]) ).

thf(3087,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3031]) ).

thf(3088,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3031]) ).

thf(3089,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( ! [SY1447: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) )
                    | ~ ( is_Arr553848933le_alt @ SY1447 ) )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ SY1447 ) ) @ SV471 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ SY1447 ) ) @ SV252 ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ SY1447 ) ) @ SV252 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ SY1447 ) ) @ SV471 ) ) ) ) ) )
        = $false )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3032]) ).

thf(3090,plain,
    ! [SV252: $i,SV471: $i,SV673: $i] :
      ( ( ( ! [SY1448: $i] :
              ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV673 )
                    | ~ ( is_Arr553848933le_alt @ SY1448 ) )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SY1448 ) ) @ SV471 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SY1448 ) ) @ SV252 ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SY1448 ) ) @ SV252 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SY1448 ) ) @ SV471 ) ) ) ) ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3033]) ).

thf(3091,plain,
    ! [SV78: $i,SV319: $i,SV654: $i,SV649: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV501 )
          | ~ ( is_Arr553848933le_alt @ SV587 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV649 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV654 ) )
        = $true )
      | ( ( ~ ( ( SV649 != SV654 ) )
          | ~ ( ( SV501 != SV587 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3034]) ).

thf(3092,plain,
    ! [SV591: $i,SV505: $i,SV327: $i,SV87: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
              | ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                        | ~ ( ( SV87 != SV591 )
                            | ( SV87 != SV327 ) ) )
                  | ~ ( ~ ( ( SV87 != SV591 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                          | ~ ( ( SV87 != SV591 )
                              | ( SV87 != SV327 ) ) )
                    | ~ ( ~ ( ( SV87 != SV591 ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3035]) ).

thf(3093,plain,
    ! [SV599: $i,SV516: $i,SV346: $i,SV107: $i] :
      ( ( ( is_Arr553848933le_alt @ SV107 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV346 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV516 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV599 ) )
        = $true )
      | ( ( ( ( produc171383831le_alt @ SV107 @ SV346 )
           != ( produc171383831le_alt @ SV516 @ SV599 ) )
          | ~ ( ( SV107 != SV516 )
              | ( SV346 != SV599 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3036]) ).

thf(3094,plain,
    ! [SV519: $i,SV650: $i,SV602: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV113 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV352 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV602 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV650 ) )
        = $true )
      | ( ( ~ ( ( SV602 != SV650 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                            | ~ ( ( SV113 != SV650 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                      | ~ ( ~ ( ( SV113 != SV650 ) )
                          | ~ ( ~ ( ( SV352 != SV650 )
                                  | ( SV113 = SV602 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                              | ~ ( ~ ( ( SV352 != SV650 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SV650 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SV650 ) )
                            | ~ ( ~ ( ( SV352 != SV650 )
                                    | ( SV113 = SV602 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                                | ~ ( ~ ( ( SV352 != SV650 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3037]) ).

thf(3095,plain,
    ! [SV127: $i,SV363: $i,SV655: $i,SV651: $i,SV608: $i,SV525: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV525 )
          | ~ ( is_Arr553848933le_alt @ SV608 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV651 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV655 ) )
        = $true )
      | ( ( ~ ( ( SV651 != SV655 ) )
          | ~ ( ( SV525 != SV608 ) )
          | ~ ( ( SV651 != SV608 ) )
          | ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3038]) ).

thf(3096,plain,
    ! [SV132: $i,SV659: $i,SV662: $i] :
      ( ( ( is_Arr553848933le_alt @ SV662 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV659 )
        = $false )
      | ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( produc171383831le_alt @ SV659 @ SV662 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P2075002375t_bool @ SV132 @ ( sK3_SY855 @ SV132 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3039]) ).

thf(3097,plain,
    ! [SV133: $i,SV368: $i,SV656: $i,SV652: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV528 )
          | ~ ( is_Arr553848933le_alt @ SV610 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV652 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV656 ) )
        = $true )
      | ( ( ~ ( ( SV652 != SV656 ) )
          | ~ ( ( SV528 != SV610 ) )
          | ~ ( ( SV652 != SV610 ) )
          | ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3042]) ).

thf(3098,plain,
    ! [SV143: $i] :
      ( ( ( hBOOL @ top_top_bool )
        = $true )
      | ( ( hBOOL @ SV143 )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( hAPP_b589554111l_bool @ ord_less_bool @ SV143 ) @ top_top_bool ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3043]) ).

thf(3099,plain,
    ! [SV537: $i,SV390: $i,SV617: $i,SV158: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV158 ) @ SV617 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV390 ) @ SV617 ) )
          | ( SV158 = SV390 ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ SV537 @ SV158 )
          = ( hAPP_A588601142di_nat @ SV537 @ SV390 ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV537 @ SV617 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV158 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV390 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3046]) ).

thf(3100,plain,
    ! [SV392: $i,SV160: $i,SV539: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
         != ( hAPP_A588601142di_nat @ SV539 @ SV392 ) )
        = $true )
      | ( ( SV160 = SV392 )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV539 @ top_to1256827021i_bool ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV160 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV392 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3047]) ).

thf(3101,plain,
    ! [SV539: $i,SV392: $i,SV160: $i] :
      ( ( ( SV160 != SV392 )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
          = ( hAPP_A588601142di_nat @ SV539 @ SV392 ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV539 @ top_to1256827021i_bool ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV160 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV392 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3048]) ).

thf(3102,plain,
    ! [SV162: $i,SV657: $i,SV666: $i,SV664: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV664 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV666 ) )
        = $true )
      | ( ( ~ ! [SY1440: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1440 )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_A1374816149t_bool @ SV657 @ SY1440 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SV657 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV657 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3049]) ).

thf(3103,plain,
    ! [SV162: $i] :
      ( ( ( is_Arr553848933le_alt @ ( sK11_SY1412 @ SV162 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3050]) ).

thf(3104,plain,
    ! [SV162: $i] :
      ( ( ( is_Arr553848933le_alt @ ( sK15_SY1428 @ SV162 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3051]) ).

thf(3105,plain,
    ! [SV162: $i,SV671: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV671 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK11_SY1412 @ SV162 ) @ ( sK15_SY1428 @ SV162 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK5_SY917 @ SV162 ) @ SV671 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3052]) ).

thf(3106,plain,
    ! [SV168: $i,SV399: $i] :
      ( ( ( ~ ~ ( ~ ( is_fun282293932t_bool @ ( sK20_SY1218 @ SV399 @ SV168 ) )
                | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( sK20_SY1218 @ SV399 @ SV168 ) ) @ arrow_1239002508le_Lin ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV168 @ SV399 ) ) @ ( sK20_SY1218 @ SV399 @ SV168 ) ) ) )
        = $false )
      | ( ( SV168 = SV399 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV168 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV399 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3053]) ).

thf(3107,plain,
    ! [SV620: $i,SV543: $i,SV173: $i,SV404: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1394: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1394 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3054]) ).

thf(3108,plain,
    ! [SV623: $i,SV547: $i,SV417: $i,SV189: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
              | ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                        | ~ ( ( SV417 != SV623 )
                            | ( SV189 != SV417 ) ) )
                  | ~ ( ~ ( ( SV417 != SV623 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                          | ~ ( ( SV417 != SV623 )
                              | ( SV189 != SV417 ) ) )
                    | ~ ( ~ ( ( SV417 != SV623 ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3055]) ).

thf(3109,plain,
    ! [SV550: $i,SV625: $i,SV421: $i,SV193: $i] :
      ( ( ( SV193 = SV421 )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV193 ) @ SV625 ) )
          | ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV421 ) @ SV625 ) )
          | ( ( hAPP_A588601142di_nat @ SV550 @ SV193 )
           != ( hAPP_A588601142di_nat @ SV550 @ SV421 ) ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV550 @ SV625 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV193 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV421 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3056]) ).

thf(3110,plain,
    ! [SV551: $i,SV422: $i,SV196: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) )
              | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) ) ) )
        = $false )
      | ( ( SV196 = SV422 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV196 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV422 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3057]) ).

thf(3111,plain,
    ! [SV423: $i,SV552: $i,SV626: $i,SV197: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                   != ( hAPP_A588601142di_nat @ SV552 @ SV197 ) )
                  | ( SV423 = SV197 ) )
              | ~ ( ( SV423 != SV197 )
                  | ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                    = ( hAPP_A588601142di_nat @ SV552 @ SV197 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV197 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV423 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3058]) ).

thf(3112,plain,
    ! [SV206: $i] :
      ( ( ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
           != n )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3059]) ).

thf(3113,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
               != n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3060]) ).

thf(3114,plain,
    ! [SV206: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3061]) ).

thf(3115,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
               != n )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3062]) ).

thf(3116,plain,
    ! [SV206: $i] :
      ( ( ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
           != n )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3064]) ).

thf(3117,plain,
    ! [SV661: $i,SV208: $i,SV431: $i,SV667: $i] :
      ( ( ( is_Arr625519182e_indi @ SV667 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV667 ) @ SV431 ) )
          | ( ( hAPP_A588601142di_nat @ SV208 @ SV661 )
           != ( hAPP_A588601142di_nat @ SV208 @ SV667 ) )
          | ( SV661 = SV667 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV661 ) @ SV431 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV661 )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3065]) ).

thf(3118,plain,
    ! [SV431: $i,SV208: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ SV208 @ ( sK10_SY1247 @ SV208 @ SV431 ) )
          = ( hAPP_A588601142di_nat @ SV208 @ ( sK17_SY1427 @ SV208 @ SV431 ) ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3067]) ).

thf(3119,plain,
    ! [SV213: $i,SV665: $i,SV658: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV668 )
                | ~ ( is_Arr553848933le_alt @ SV672 ) ) )
        = $true )
      | ( ( ~ ! [SY1446: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1446 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1446 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1446 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1446 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1446 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3069]) ).

thf(3120,plain,
    ! [SV213: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ ( sK18_SY1430 @ SV213 ) )
          | ~ ( is_Arr553848933le_alt @ ( sK19_SY1441 @ SV213 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3070]) ).

thf(3121,plain,
    ! [SV213: $i] :
      ( ( ( ! [SY1443: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1443 )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SY1443 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SY1443 ) ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SY1443 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SY1443 ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3071]) ).

thf(3122,plain,
    ! [SV213: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3072]) ).

thf(3123,plain,
    ! [SV440: $i,SV219: $i] :
      ( ( ( is_Arr553848933le_alt @ ( sK14_SY1423 @ SV219 @ SV440 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3073]) ).

thf(3124,plain,
    ! [SV219: $i,SV440: $i] :
      ( ( ( is_Arr553848933le_alt @ ( sK16_SY1433 @ SV440 @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_A1466488369i_bool @ ( hAPP_f355113919i_bool @ arrow_2061665457ctator @ SV440 ) @ SV219 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f213304539l_bool @ ( member1622429502t_bool @ SV440 ) @ ( pi_fun433100839t_bool @ arrow_413697182e_Prof @ ( hAPP_f20355883l_bool @ cOMBK_1088865252t_bool @ arrow_1239002508le_Lin ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3074]) ).

thf(3125,plain,
    ! [SV634: $i,SV564: $i,SV449: $i,SV228: $i] :
      ( ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV449 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV564 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV634 ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( produc171383831le_alt @ SV228 @ SV449 )
                   != ( produc171383831le_alt @ SV564 @ SV634 ) )
                  | ~ ( ( SV228 != SV564 )
                      | ( SV449 != SV634 ) ) )
              | ~ ( ~ ~ ( ( SV228 != SV564 )
                        | ( SV449 != SV634 ) )
                  | ( ( produc171383831le_alt @ SV228 @ SV449 )
                    = ( produc171383831le_alt @ SV564 @ SV634 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3077]) ).

thf(3126,plain,
    ! [SV236: $i,SV456: $i,SV637: $i,SV568: $i,SV653: $i] :
      ( ( ( is_Arr553848933le_alt @ SV653 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( ~ ( ( SV637 != SV653 ) )
          | ~ ( ( SV653 != SV568 ) )
          | ~ ( ( SV637 != SV568 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3079]) ).

thf(3127,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3080]) ).

thf(3128,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3081]) ).

thf(3129,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
          | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3082]) ).

thf(3130,plain,
    ! [SV240: $i] :
      ( ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
           != n )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3083]) ).

thf(3131,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                      | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                               != n ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3084]) ).

thf(3132,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3085]) ).

thf(3133,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3085]) ).

thf(3134,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
          | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3086]) ).

thf(3135,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3087]) ).

thf(3136,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3088]) ).

thf(3137,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) )
                | ~ ( is_Arr553848933le_alt @ ( sK22_SY1447 @ SV471 @ SV252 ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) ) ) ) )
        = $false )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3089]) ).

thf(3138,plain,
    ! [SV252: $i,SV471: $i,SV674: $i,SV673: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV673 )
                | ~ ( is_Arr553848933le_alt @ SV674 ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) ) ) ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3090]) ).

thf(3139,plain,
    ! [SV78: $i,SV319: $i,SV654: $i,SV649: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV501 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV587 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV649 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV654 ) )
        = $true )
      | ( ( ~ ( ( SV649 != SV654 ) )
          | ~ ( ( SV501 != SV587 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3091]) ).

thf(3140,plain,
    ! [SV591: $i,SV505: $i,SV327: $i,SV87: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
              | ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                        | ~ ( ( SV87 != SV591 )
                            | ( SV87 != SV327 ) ) )
                  | ~ ( ~ ( ( SV87 != SV591 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3092]) ).

thf(3141,plain,
    ! [SV505: $i,SV87: $i,SV591: $i,SV327: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                          | ~ ( ( SV87 != SV591 )
                              | ( SV87 != SV327 ) ) )
                    | ~ ( ~ ( ( SV87 != SV591 ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3092]) ).

thf(3142,plain,
    ! [SV599: $i,SV516: $i,SV107: $i,SV346: $i] :
      ( ( ( is_Arr553848933le_alt @ SV346 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV107 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV516 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV599 ) )
        = $true )
      | ( ( ( ( produc171383831le_alt @ SV107 @ SV346 )
           != ( produc171383831le_alt @ SV516 @ SV599 ) )
          | ~ ( ( SV107 != SV516 )
              | ( SV346 != SV599 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3093]) ).

thf(3143,plain,
    ! [SV519: $i,SV650: $i,SV602: $i,SV352: $i,SV113: $i] :
      ( ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV352 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV602 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV650 ) )
        = $true )
      | ( ( ~ ( ( SV602 != SV650 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                            | ~ ( ( SV113 != SV650 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                      | ~ ( ~ ( ( SV113 != SV650 ) )
                          | ~ ( ~ ( ( SV352 != SV650 )
                                  | ( SV113 = SV602 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                              | ~ ( ~ ( ( SV352 != SV650 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SV650 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SV650 ) )
                            | ~ ( ~ ( ( SV352 != SV650 )
                                    | ( SV113 = SV602 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                                | ~ ( ~ ( ( SV352 != SV650 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3094]) ).

thf(3144,plain,
    ! [SV127: $i,SV363: $i,SV655: $i,SV651: $i,SV608: $i,SV525: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV525 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV608 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV651 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV655 ) )
        = $true )
      | ( ( ~ ( ( SV651 != SV655 ) )
          | ~ ( ( SV525 != SV608 ) )
          | ~ ( ( SV651 != SV608 ) )
          | ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3095]) ).

thf(3145,plain,
    ! [SV133: $i,SV368: $i,SV656: $i,SV652: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV528 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV610 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV652 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV656 ) )
        = $true )
      | ( ( ~ ( ( SV652 != SV656 ) )
          | ~ ( ( SV528 != SV610 ) )
          | ~ ( ( SV652 != SV610 ) )
          | ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3097]) ).

thf(3146,plain,
    ! [SV537: $i,SV390: $i,SV617: $i,SV158: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV158 ) @ SV617 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV390 ) @ SV617 ) )
          | ( SV158 = SV390 ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ SV537 @ SV158 )
          = ( hAPP_A588601142di_nat @ SV537 @ SV390 ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV537 @ SV617 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV158 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV390 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3099]) ).

thf(3147,plain,
    ! [SV392: $i,SV160: $i,SV539: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
          = ( hAPP_A588601142di_nat @ SV539 @ SV392 ) )
        = $false )
      | ( ( SV160 = SV392 )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV539 @ top_to1256827021i_bool ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV160 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV392 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3100]) ).

thf(3148,plain,
    ! [SV539: $i,SV392: $i,SV160: $i] :
      ( ( ( SV160 = SV392 )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ SV539 @ SV160 )
          = ( hAPP_A588601142di_nat @ SV539 @ SV392 ) )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV539 @ top_to1256827021i_bool ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV160 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV392 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3101]) ).

thf(3149,plain,
    ! [SV162: $i,SV657: $i,SV666: $i,SV664: $i] :
      ( ( ( is_Arr553848933le_alt @ SV664 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV666 ) )
        = $true )
      | ( ( ~ ! [SY1440: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1440 )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_A1374816149t_bool @ SV657 @ SY1440 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SV657 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV657 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3102]) ).

thf(3150,plain,
    ! [SV162: $i,SV671: $i] :
      ( ( ( is_Arr625519182e_indi @ SV671 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK11_SY1412 @ SV162 ) @ ( sK15_SY1428 @ SV162 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK5_SY917 @ SV162 ) @ SV671 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3105]) ).

thf(3151,plain,
    ! [SV168: $i,SV399: $i] :
      ( ( ( ~ ~ ( ~ ( is_fun282293932t_bool @ ( sK20_SY1218 @ SV399 @ SV168 ) )
                | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( sK20_SY1218 @ SV399 @ SV168 ) ) @ arrow_1239002508le_Lin ) ) ) )
        = $false )
      | ( ( SV168 = SV399 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV168 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV399 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3106]) ).

thf(3152,plain,
    ! [SV399: $i,SV168: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV168 @ SV399 ) ) @ ( sK20_SY1218 @ SV399 @ SV168 ) ) ) )
        = $false )
      | ( ( SV168 = SV399 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV168 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV399 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3106]) ).

thf(3153,plain,
    ! [SV404: $i,SV620: $i,SV543: $i,SV173: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) ) )
        = $true )
      | ( ( ~ ! [SY1394: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1394 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3107]) ).

thf(3154,plain,
    ! [SV623: $i,SV547: $i,SV417: $i,SV189: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
              | ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                        | ~ ( ( SV417 != SV623 )
                            | ( SV189 != SV417 ) ) )
                  | ~ ( ~ ( ( SV417 != SV623 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3108]) ).

thf(3155,plain,
    ! [SV547: $i,SV417: $i,SV623: $i,SV189: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                          | ~ ( ( SV417 != SV623 )
                              | ( SV189 != SV417 ) ) )
                    | ~ ( ~ ( ( SV417 != SV623 ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3108]) ).

thf(3156,plain,
    ! [SV550: $i,SV421: $i,SV625: $i,SV193: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV193 ) @ SV625 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV421 ) @ SV625 ) )
          | ( ( hAPP_A588601142di_nat @ SV550 @ SV193 )
           != ( hAPP_A588601142di_nat @ SV550 @ SV421 ) ) )
        = $true )
      | ( ( SV193 = SV421 )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV550 @ SV625 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV193 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV421 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3109]) ).

thf(3157,plain,
    ! [SV551: $i,SV422: $i,SV196: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) ) ) )
        = $false )
      | ( ( SV196 = SV422 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV196 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV422 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3110]) ).

thf(3158,plain,
    ! [SV551: $i,SV196: $i,SV422: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) )
              | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) ) ) )
        = $false )
      | ( ( SV196 = SV422 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV196 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV422 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3110]) ).

thf(3159,plain,
    ! [SV423: $i,SV552: $i,SV626: $i,SV197: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) )
        = $false )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                   != ( hAPP_A588601142di_nat @ SV552 @ SV197 ) )
                  | ( SV423 = SV197 ) )
              | ~ ( ( SV423 != SV197 )
                  | ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                    = ( hAPP_A588601142di_nat @ SV552 @ SV197 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV197 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV423 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3111]) ).

thf(3160,plain,
    ! [SV206: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
         != n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3112]) ).

thf(3161,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
               != n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3113]) ).

thf(3162,plain,
    ! [SV206: $i] :
      ( ( ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
           != n )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3115]) ).

thf(3163,plain,
    ! [SV206: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
         != n )
        = $false )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3116]) ).

thf(3164,plain,
    ! [SV206: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3116]) ).

thf(3165,plain,
    ! [SV661: $i,SV208: $i,SV431: $i,SV667: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV667 ) @ SV431 ) ) )
        = $true )
      | ( ( ( ( hAPP_A588601142di_nat @ SV208 @ SV661 )
           != ( hAPP_A588601142di_nat @ SV208 @ SV667 ) )
          | ( SV661 = SV667 ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV667 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV661 ) @ SV431 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV661 )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3117]) ).

thf(3166,plain,
    ! [SV213: $i,SV665: $i,SV658: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ SV668 )
              | ~ ( is_Arr553848933le_alt @ SV672 ) ) )
        = $false )
      | ( ( ~ ! [SY1446: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1446 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1446 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1446 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1446 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1446 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3119]) ).

thf(3167,plain,
    ! [SV213: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ ( sK18_SY1430 @ SV213 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3120]) ).

thf(3168,plain,
    ! [SV213: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ ( sK19_SY1441 @ SV213 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3120]) ).

thf(3169,plain,
    ! [SV213: $i,SV675: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV675 )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SV675 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SV675 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SV675 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SV675 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3121]) ).

thf(3170,plain,
    ! [SV213: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3122]) ).

thf(3171,plain,
    ! [SV634: $i,SV564: $i,SV228: $i,SV449: $i] :
      ( ( ( is_Arr553848933le_alt @ SV449 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV564 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV634 ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( produc171383831le_alt @ SV228 @ SV449 )
                   != ( produc171383831le_alt @ SV564 @ SV634 ) )
                  | ~ ( ( SV228 != SV564 )
                      | ( SV449 != SV634 ) ) )
              | ~ ( ~ ~ ( ( SV228 != SV564 )
                        | ( SV449 != SV634 ) )
                  | ( ( produc171383831le_alt @ SV228 @ SV449 )
                    = ( produc171383831le_alt @ SV564 @ SV634 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3125]) ).

thf(3172,plain,
    ! [SV236: $i,SV456: $i,SV568: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( ( SV637 != SV653 ) ) )
        = $true )
      | ( ( ~ ( ( SV653 != SV568 ) )
          | ~ ( ( SV637 != SV568 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3126]) ).

thf(3173,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
          | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3127]) ).

thf(3174,plain,
    ! [SV240: $i] :
      ( ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
           != n )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3128]) ).

thf(3175,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3129]) ).

thf(3176,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3129]) ).

thf(3177,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
         != n )
        = $false )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3130]) ).

thf(3178,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3130]) ).

thf(3179,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
          | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3131]) ).

thf(3180,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3132]) ).

thf(3181,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3133]) ).

thf(3182,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3134]) ).

thf(3183,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3134]) ).

thf(3184,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3135]) ).

thf(3185,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3136]) ).

thf(3186,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) )
                | ~ ( is_Arr553848933le_alt @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) )
        = $false )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3137]) ).

thf(3187,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) ) ) ) )
        = $false )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3137]) ).

thf(3188,plain,
    ! [SV252: $i,SV471: $i,SV674: $i,SV673: $i] :
      ( ( ( ~ ~ ( ~ ( is_Arr553848933le_alt @ SV673 )
                | ~ ( is_Arr553848933le_alt @ SV674 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) ) ) ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3138]) ).

thf(3189,plain,
    ! [SV78: $i,SV319: $i,SV654: $i,SV649: $i,SV587: $i,SV501: $i] :
      ( ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV587 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV649 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV654 ) )
        = $true )
      | ( ( ~ ( ( SV649 != SV654 ) )
          | ~ ( ( SV501 != SV587 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3139]) ).

thf(3190,plain,
    ! [SV591: $i,SV505: $i,SV327: $i,SV87: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
          | ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                    | ~ ( ( SV87 != SV591 )
                        | ( SV87 != SV327 ) ) )
              | ~ ( ~ ( ( SV87 != SV591 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3140]) ).

thf(3191,plain,
    ! [SV505: $i,SV87: $i,SV591: $i,SV327: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                      | ~ ( ( SV87 != SV591 )
                          | ( SV87 != SV327 ) ) )
                | ~ ( ~ ( ( SV87 != SV591 ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3141]) ).

thf(3192,plain,
    ! [SV599: $i,SV346: $i,SV107: $i,SV516: $i] :
      ( ( ( is_Arr553848933le_alt @ SV516 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV107 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV346 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV599 ) )
        = $true )
      | ( ( ( ( produc171383831le_alt @ SV107 @ SV346 )
           != ( produc171383831le_alt @ SV516 @ SV599 ) )
          | ~ ( ( SV107 != SV516 )
              | ( SV346 != SV599 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3142]) ).

thf(3193,plain,
    ! [SV519: $i,SV650: $i,SV602: $i,SV113: $i,SV352: $i] :
      ( ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV602 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV650 ) )
        = $true )
      | ( ( ~ ( ( SV602 != SV650 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                            | ~ ( ( SV113 != SV650 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                      | ~ ( ~ ( ( SV113 != SV650 ) )
                          | ~ ( ~ ( ( SV352 != SV650 )
                                  | ( SV113 = SV602 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                              | ~ ( ~ ( ( SV352 != SV650 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SV650 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SV650 ) )
                            | ~ ( ~ ( ( SV352 != SV650 )
                                    | ( SV113 = SV602 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                                | ~ ( ~ ( ( SV352 != SV650 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3143]) ).

thf(3194,plain,
    ! [SV127: $i,SV363: $i,SV655: $i,SV651: $i,SV608: $i,SV525: $i] :
      ( ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV608 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV651 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV655 ) )
        = $true )
      | ( ( ~ ( ( SV651 != SV655 ) )
          | ~ ( ( SV525 != SV608 ) )
          | ~ ( ( SV651 != SV608 ) )
          | ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3144]) ).

thf(3195,plain,
    ! [SV133: $i,SV368: $i,SV656: $i,SV652: $i,SV610: $i,SV528: $i] :
      ( ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV610 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV652 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV656 ) )
        = $true )
      | ( ( ~ ( ( SV652 != SV656 ) )
          | ~ ( ( SV528 != SV610 ) )
          | ~ ( ( SV652 != SV610 ) )
          | ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3145]) ).

thf(3196,plain,
    ! [SV537: $i,SV158: $i,SV617: $i,SV390: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV390 ) @ SV617 ) ) )
        = $true )
      | ( ( SV158 = SV390 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV158 ) @ SV617 ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ SV537 @ SV158 )
          = ( hAPP_A588601142di_nat @ SV537 @ SV390 ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV537 @ SV617 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV158 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV390 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3146]) ).

thf(3197,plain,
    ! [SV162: $i,SV657: $i,SV664: $i,SV666: $i] :
      ( ( ( is_Arr553848933le_alt @ SV666 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV664 )
        = $false )
      | ( ( ~ ! [SY1440: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1440 )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_A1374816149t_bool @ SV657 @ SY1440 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SV657 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV657 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3149]) ).

thf(3198,plain,
    ! [SV168: $i,SV399: $i] :
      ( ( ( ~ ( ~ ( is_fun282293932t_bool @ ( sK20_SY1218 @ SV399 @ SV168 ) )
              | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( sK20_SY1218 @ SV399 @ SV168 ) ) @ arrow_1239002508le_Lin ) ) ) )
        = $true )
      | ( ( SV168 = SV399 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV168 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV399 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3151]) ).

thf(3199,plain,
    ! [SV399: $i,SV168: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV168 @ SV399 ) ) @ ( sK20_SY1218 @ SV399 @ SV168 ) ) )
        = $true )
      | ( ( SV168 = SV399 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV168 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV399 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3152]) ).

thf(3200,plain,
    ! [SV404: $i,SV620: $i,SV543: $i,SV173: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( ~ ! [SY1394: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1394 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3153]) ).

thf(3201,plain,
    ! [SV623: $i,SV547: $i,SV417: $i,SV189: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
          | ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                    | ~ ( ( SV417 != SV623 )
                        | ( SV189 != SV417 ) ) )
              | ~ ( ~ ( ( SV417 != SV623 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3154]) ).

thf(3202,plain,
    ! [SV547: $i,SV417: $i,SV623: $i,SV189: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                      | ~ ( ( SV417 != SV623 )
                          | ( SV189 != SV417 ) ) )
                | ~ ( ~ ( ( SV417 != SV623 ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3155]) ).

thf(3203,plain,
    ! [SV550: $i,SV421: $i,SV625: $i,SV193: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV193 ) @ SV625 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV421 ) @ SV625 ) )
          | ( ( hAPP_A588601142di_nat @ SV550 @ SV193 )
           != ( hAPP_A588601142di_nat @ SV550 @ SV421 ) ) )
        = $true )
      | ( ( SV193 = SV421 )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV550 @ SV625 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV193 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV421 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3156]) ).

thf(3204,plain,
    ! [SV551: $i,SV422: $i,SV196: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) ) )
        = $true )
      | ( ( SV196 = SV422 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV196 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV422 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3157]) ).

thf(3205,plain,
    ! [SV551: $i,SV196: $i,SV422: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) ) )
        = $true )
      | ( ( SV196 = SV422 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV196 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV422 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3158]) ).

thf(3206,plain,
    ! [SV626: $i,SV197: $i,SV423: $i,SV552: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
               != ( hAPP_A588601142di_nat @ SV552 @ SV197 ) )
              | ( SV423 = SV197 ) )
          | ~ ( ( SV423 != SV197 )
              | ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                = ( hAPP_A588601142di_nat @ SV552 @ SV197 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV197 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV423 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3159]) ).

thf(3207,plain,
    ! [SV206: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
          = n )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3160]) ).

thf(3208,plain,
    ! [SV206: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
         != n )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3161]) ).

thf(3209,plain,
    ! [SV206: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
         != n )
        = $false )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3162]) ).

thf(3210,plain,
    ! [SV206: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3162]) ).

thf(3211,plain,
    ! [SV206: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
          = n )
        = $true )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3163]) ).

thf(3212,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
               != n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3164]) ).

thf(3213,plain,
    ! [SV661: $i,SV208: $i,SV431: $i,SV667: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV667 ) @ SV431 ) )
        = $false )
      | ( ( ( ( hAPP_A588601142di_nat @ SV208 @ SV661 )
           != ( hAPP_A588601142di_nat @ SV208 @ SV667 ) )
          | ( SV661 = SV667 ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV667 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV661 ) @ SV431 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV661 )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3165]) ).

thf(3214,plain,
    ! [SV213: $i,SV665: $i,SV658: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV668 )
          | ~ ( is_Arr553848933le_alt @ SV672 ) )
        = $true )
      | ( ( ~ ! [SY1446: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1446 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1446 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1446 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1446 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1446 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3166]) ).

thf(3215,plain,
    ! [SV213: $i] :
      ( ( ( is_Arr553848933le_alt @ ( sK18_SY1430 @ SV213 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3167]) ).

thf(3216,plain,
    ! [SV213: $i] :
      ( ( ( is_Arr553848933le_alt @ ( sK19_SY1441 @ SV213 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3168]) ).

thf(3217,plain,
    ! [SV213: $i,SV675: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ SV675 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SV675 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SV675 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SV675 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SV675 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3169]) ).

thf(3218,plain,
    ! [SV213: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3170]) ).

thf(3219,plain,
    ! [SV634: $i,SV449: $i,SV228: $i,SV564: $i] :
      ( ( ( is_Arr553848933le_alt @ SV564 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV449 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV634 ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( produc171383831le_alt @ SV228 @ SV449 )
                   != ( produc171383831le_alt @ SV564 @ SV634 ) )
                  | ~ ( ( SV228 != SV564 )
                      | ( SV449 != SV634 ) ) )
              | ~ ( ~ ~ ( ( SV228 != SV564 )
                        | ( SV449 != SV634 ) )
                  | ( ( produc171383831le_alt @ SV228 @ SV449 )
                    = ( produc171383831le_alt @ SV564 @ SV634 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3171]) ).

thf(3220,plain,
    ! [SV236: $i,SV456: $i,SV568: $i,SV653: $i,SV637: $i] :
      ( ( ( SV637 != SV653 )
        = $false )
      | ( ( ~ ( ( SV653 != SV568 ) )
          | ~ ( ( SV637 != SV568 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3172]) ).

thf(3221,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3173]) ).

thf(3222,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3173]) ).

thf(3223,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
         != n )
        = $false )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3174]) ).

thf(3224,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3174]) ).

thf(3225,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3175]) ).

thf(3226,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3176]) ).

thf(3227,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3177]) ).

thf(3228,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3178]) ).

thf(3229,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3179]) ).

thf(3230,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
                  | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                           != n ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3179]) ).

thf(3231,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3180]) ).

thf(3232,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3181]) ).

thf(3233,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3182]) ).

thf(3234,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3183]) ).

thf(3235,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3184]) ).

thf(3236,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $false )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3185]) ).

thf(3237,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) )
              | ~ ( is_Arr553848933le_alt @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3186]) ).

thf(3238,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) ) ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3187]) ).

thf(3239,plain,
    ! [SV252: $i,SV471: $i,SV674: $i,SV673: $i] :
      ( ( ( ~ ( ~ ( is_Arr553848933le_alt @ SV673 )
              | ~ ( is_Arr553848933le_alt @ SV674 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) ) ) ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3188]) ).

thf(3240,plain,
    ! [SV78: $i,SV319: $i,SV654: $i,SV649: $i,SV501: $i,SV587: $i] :
      ( ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV649 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV654 ) )
        = $true )
      | ( ( ~ ( ( SV649 != SV654 ) )
          | ~ ( ( SV501 != SV587 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3189]) ).

thf(3241,plain,
    ! [SV591: $i,SV505: $i,SV327: $i,SV87: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                    | ~ ( ( SV87 != SV591 )
                        | ( SV87 != SV327 ) ) )
              | ~ ( ~ ( ( SV87 != SV591 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3190]) ).

thf(3242,plain,
    ! [SV505: $i,SV87: $i,SV591: $i,SV327: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                      | ~ ( ( SV87 != SV591 )
                          | ( SV87 != SV327 ) ) )
                | ~ ( ~ ( ( SV87 != SV591 ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3191]) ).

thf(3243,plain,
    ! [SV516: $i,SV107: $i,SV346: $i,SV599: $i] :
      ( ( ( is_Arr553848933le_alt @ SV599 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV346 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV107 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV516 )
        = $false )
      | ( ( ( ( produc171383831le_alt @ SV107 @ SV346 )
           != ( produc171383831le_alt @ SV516 @ SV599 ) )
          | ~ ( ( SV107 != SV516 )
              | ( SV346 != SV599 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3192]) ).

thf(3244,plain,
    ! [SV519: $i,SV650: $i,SV352: $i,SV113: $i,SV602: $i] :
      ( ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV650 ) )
        = $true )
      | ( ( ~ ( ( SV602 != SV650 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                            | ~ ( ( SV113 != SV650 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                      | ~ ( ~ ( ( SV113 != SV650 ) )
                          | ~ ( ~ ( ( SV352 != SV650 )
                                  | ( SV113 = SV602 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                              | ~ ( ~ ( ( SV352 != SV650 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SV650 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SV650 ) )
                            | ~ ( ~ ( ( SV352 != SV650 )
                                    | ( SV113 = SV602 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                                | ~ ( ~ ( ( SV352 != SV650 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3193]) ).

thf(3245,plain,
    ! [SV127: $i,SV363: $i,SV655: $i,SV651: $i,SV525: $i,SV608: $i] :
      ( ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV651 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV655 ) )
        = $true )
      | ( ( ~ ( ( SV651 != SV655 ) )
          | ~ ( ( SV525 != SV608 ) )
          | ~ ( ( SV651 != SV608 ) )
          | ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3194]) ).

thf(3246,plain,
    ! [SV133: $i,SV368: $i,SV656: $i,SV652: $i,SV528: $i,SV610: $i] :
      ( ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV652 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV656 ) )
        = $true )
      | ( ( ~ ( ( SV652 != SV656 ) )
          | ~ ( ( SV528 != SV610 ) )
          | ~ ( ( SV652 != SV610 ) )
          | ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3195]) ).

thf(3247,plain,
    ! [SV537: $i,SV158: $i,SV617: $i,SV390: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV390 ) @ SV617 ) )
        = $false )
      | ( ( SV158 = SV390 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV158 ) @ SV617 ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ SV537 @ SV158 )
          = ( hAPP_A588601142di_nat @ SV537 @ SV390 ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV537 @ SV617 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV158 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV390 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3196]) ).

thf(3248,plain,
    ! [SV162: $i,SV657: $i,SV666: $i,SV664: $i] :
      ( ( ( ~ ! [SY1440: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1440 )
                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_A1374816149t_bool @ SV657 @ SY1440 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SV657 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV664 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV666 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV657 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3197]) ).

thf(3249,plain,
    ! [SV168: $i,SV399: $i] :
      ( ( ( ~ ( is_fun282293932t_bool @ ( sK20_SY1218 @ SV399 @ SV168 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( sK20_SY1218 @ SV399 @ SV168 ) ) @ arrow_1239002508le_Lin ) ) )
        = $false )
      | ( ( SV168 = SV399 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV168 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV399 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3198]) ).

thf(3250,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ! [SY1394: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1394 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3200]) ).

thf(3251,plain,
    ! [SV623: $i,SV547: $i,SV417: $i,SV189: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                    | ~ ( ( SV417 != SV623 )
                        | ( SV189 != SV417 ) ) )
              | ~ ( ~ ( ( SV417 != SV623 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3201]) ).

thf(3252,plain,
    ! [SV547: $i,SV417: $i,SV623: $i,SV189: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                      | ~ ( ( SV417 != SV623 )
                          | ( SV189 != SV417 ) ) )
                | ~ ( ~ ( ( SV417 != SV623 ) )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3202]) ).

thf(3253,plain,
    ! [SV193: $i,SV550: $i,SV625: $i,SV421: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV421 ) @ SV625 ) ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ SV550 @ SV193 )
         != ( hAPP_A588601142di_nat @ SV550 @ SV421 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV193 ) @ SV625 ) )
        = $false )
      | ( ( SV193 = SV421 )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV550 @ SV625 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV193 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV421 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3203]) ).

thf(3254,plain,
    ! [SV551: $i,SV422: $i,SV196: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) )
        = $true )
      | ( ( SV196 = SV422 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV196 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV422 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3204]) ).

thf(3255,plain,
    ! [SV551: $i,SV196: $i,SV422: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) ) )
        = $true )
      | ( ( SV196 = SV422 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV196 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV422 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3205]) ).

thf(3256,plain,
    ! [SV626: $i,SV197: $i,SV423: $i,SV552: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
               != ( hAPP_A588601142di_nat @ SV552 @ SV197 ) )
              | ( SV423 = SV197 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV197 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV423 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3206]) ).

thf(3257,plain,
    ! [SV626: $i,SV552: $i,SV197: $i,SV423: $i] :
      ( ( ( ~ ( ( SV423 != SV197 )
              | ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
                = ( hAPP_A588601142di_nat @ SV552 @ SV197 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV197 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV423 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3206]) ).

thf(3258,plain,
    ! [SV206: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3208]) ).

thf(3259,plain,
    ! [SV206: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
          = n )
        = $true )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3209]) ).

thf(3260,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
               != n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3210]) ).

thf(3261,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
               != n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3211]) ).

thf(3262,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
               != n ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3212]) ).

thf(3263,plain,
    ! [SV206: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3212]) ).

thf(3264,plain,
    ! [SV431: $i,SV667: $i,SV661: $i,SV208: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ SV208 @ SV661 )
         != ( hAPP_A588601142di_nat @ SV208 @ SV667 ) )
        = $true )
      | ( ( SV661 = SV667 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV667 ) @ SV431 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV667 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV661 ) @ SV431 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV661 )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3213]) ).

thf(3265,plain,
    ! [SV213: $i,SV665: $i,SV658: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV668 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV672 ) )
        = $true )
      | ( ( ~ ! [SY1446: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1446 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1446 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1446 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1446 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1446 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3214]) ).

thf(3266,plain,
    ! [SV213: $i,SV675: $i] :
      ( ( ( is_Arr625519182e_indi @ SV675 )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SV675 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SV675 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SV675 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SV675 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3217]) ).

thf(3267,plain,
    ! [SV213: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3218]) ).

thf(3268,plain,
    ! [SV213: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3218]) ).

thf(3269,plain,
    ! [SV564: $i,SV228: $i,SV449: $i,SV634: $i] :
      ( ( ( is_Arr553848933le_alt @ SV634 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV449 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV564 )
        = $false )
      | ( ( ~ ( ~ ( ( ( produc171383831le_alt @ SV228 @ SV449 )
                   != ( produc171383831le_alt @ SV564 @ SV634 ) )
                  | ~ ( ( SV228 != SV564 )
                      | ( SV449 != SV634 ) ) )
              | ~ ( ~ ~ ( ( SV228 != SV564 )
                        | ( SV449 != SV634 ) )
                  | ( ( produc171383831le_alt @ SV228 @ SV449 )
                    = ( produc171383831le_alt @ SV564 @ SV634 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3219]) ).

thf(3270,plain,
    ! [SV236: $i,SV456: $i,SV568: $i,SV653: $i,SV637: $i] :
      ( ( ( SV637 = SV653 )
        = $true )
      | ( ( ~ ( ( SV653 != SV568 ) )
          | ~ ( ( SV637 != SV568 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3220]) ).

thf(3271,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3221]) ).

thf(3272,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3222]) ).

thf(3273,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3223]) ).

thf(3274,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3224]) ).

thf(3275,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3225]) ).

thf(3276,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3226]) ).

thf(3277,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3227]) ).

thf(3278,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3228]) ).

thf(3279,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3228]) ).

thf(3280,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3229]) ).

thf(3281,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3230]) ).

thf(3282,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3231]) ).

thf(3283,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $false )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3232]) ).

thf(3284,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3233]) ).

thf(3285,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3234]) ).

thf(3286,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3236]) ).

thf(3287,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) )
          | ~ ( is_Arr553848933le_alt @ ( sK22_SY1447 @ SV471 @ SV252 ) ) )
        = $false )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3237]) ).

thf(3288,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) ) ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3238]) ).

thf(3289,plain,
    ! [SV252: $i,SV471: $i,SV674: $i,SV673: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV673 )
          | ~ ( is_Arr553848933le_alt @ SV674 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) ) ) ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3239]) ).

thf(3290,plain,
    ! [SV78: $i,SV319: $i,SV654: $i,SV587: $i,SV501: $i,SV649: $i] :
      ( ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV654 ) )
        = $true )
      | ( ( ~ ( ( SV649 != SV654 ) )
          | ~ ( ( SV501 != SV587 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3240]) ).

thf(3291,plain,
    ! [SV591: $i,SV505: $i,SV327: $i,SV87: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                    | ~ ( ( SV87 != SV591 )
                        | ( SV87 != SV327 ) ) )
              | ~ ( ~ ( ( SV87 != SV591 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3241]) ).

thf(3292,plain,
    ! [SV505: $i,SV87: $i,SV591: $i,SV327: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                    | ~ ( ( SV87 != SV591 )
                        | ( SV87 != SV327 ) ) )
              | ~ ( ~ ( ( SV87 != SV591 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3242]) ).

thf(3293,plain,
    ! [SV599: $i,SV516: $i,SV346: $i,SV107: $i] :
      ( ( ( ( produc171383831le_alt @ SV107 @ SV346 )
         != ( produc171383831le_alt @ SV516 @ SV599 ) )
        = $true )
      | ( ( ~ ( ( SV107 != SV516 )
              | ( SV346 != SV599 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV516 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV107 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV346 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV599 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3243]) ).

thf(3294,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV352: $i,SV650: $i] :
      ( ( ( is_Arr553848933le_alt @ SV650 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( ~ ( ( SV602 != SV650 ) )
          | ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                            | ~ ( ( SV113 != SV650 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                      | ~ ( ~ ( ( SV113 != SV650 ) )
                          | ~ ( ~ ( ( SV352 != SV650 )
                                  | ( SV113 = SV602 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                              | ~ ( ~ ( ( SV352 != SV650 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SV650 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SV650 ) )
                            | ~ ( ~ ( ( SV352 != SV650 )
                                    | ( SV113 = SV602 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                                | ~ ( ~ ( ( SV352 != SV650 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3244]) ).

thf(3295,plain,
    ! [SV127: $i,SV363: $i,SV655: $i,SV608: $i,SV525: $i,SV651: $i] :
      ( ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV655 ) )
        = $true )
      | ( ( ~ ( ( SV651 != SV655 ) )
          | ~ ( ( SV525 != SV608 ) )
          | ~ ( ( SV651 != SV608 ) )
          | ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3245]) ).

thf(3296,plain,
    ! [SV133: $i,SV368: $i,SV656: $i,SV610: $i,SV528: $i,SV652: $i] :
      ( ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV656 ) )
        = $true )
      | ( ( ~ ( ( SV652 != SV656 ) )
          | ~ ( ( SV528 != SV610 ) )
          | ~ ( ( SV652 != SV610 ) )
          | ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3246]) ).

thf(3297,plain,
    ! [SV162: $i,SV657: $i,SV666: $i,SV664: $i] :
      ( ( ( ! [SY1440: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1440 )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_A1374816149t_bool @ SV657 @ SY1440 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SV657 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV664 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV666 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV657 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3248]) ).

thf(3298,plain,
    ! [SV168: $i,SV399: $i] :
      ( ( ( ~ ( is_fun282293932t_bool @ ( sK20_SY1218 @ SV399 @ SV168 ) ) )
        = $false )
      | ( ( SV168 = SV399 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV168 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV399 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3249]) ).

thf(3299,plain,
    ! [SV168: $i,SV399: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( sK20_SY1218 @ SV399 @ SV168 ) ) @ arrow_1239002508le_Lin ) ) )
        = $false )
      | ( ( SV168 = SV399 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV168 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV399 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3249]) ).

thf(3300,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ! [SY1394: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1394 )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ SY1394 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ SY1394 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3250]) ).

thf(3301,plain,
    ! [SV623: $i,SV547: $i,SV417: $i,SV189: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                    | ~ ( ( SV417 != SV623 )
                        | ( SV189 != SV417 ) ) )
              | ~ ( ~ ( ( SV417 != SV623 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3251]) ).

thf(3302,plain,
    ! [SV547: $i,SV417: $i,SV623: $i,SV189: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                    | ~ ( ( SV417 != SV623 )
                        | ( SV189 != SV417 ) ) )
              | ~ ( ~ ( ( SV417 != SV623 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3252]) ).

thf(3303,plain,
    ! [SV193: $i,SV550: $i,SV625: $i,SV421: $i] :
      ( ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV421 ) @ SV625 ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ SV550 @ SV193 )
         != ( hAPP_A588601142di_nat @ SV550 @ SV421 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV193 ) @ SV625 ) )
        = $false )
      | ( ( SV193 = SV421 )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV550 @ SV625 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV193 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV421 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3253]) ).

thf(3304,plain,
    ! [SV551: $i,SV422: $i,SV196: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) )
        = $true )
      | ( ( SV196 = SV422 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV196 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV422 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3254]) ).

thf(3305,plain,
    ! [SV551: $i,SV196: $i,SV422: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) ) )
        = $true )
      | ( ( SV196 = SV422 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV196 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV422 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3255]) ).

thf(3306,plain,
    ! [SV626: $i,SV197: $i,SV423: $i,SV552: $i] :
      ( ( ( ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
           != ( hAPP_A588601142di_nat @ SV552 @ SV197 ) )
          | ( SV423 = SV197 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV197 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV423 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3256]) ).

thf(3307,plain,
    ! [SV626: $i,SV552: $i,SV197: $i,SV423: $i] :
      ( ( ( ( SV423 != SV197 )
          | ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
            = ( hAPP_A588601142di_nat @ SV552 @ SV197 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV197 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV423 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3257]) ).

thf(3308,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
               != n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3259]) ).

thf(3309,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
               != n ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3260]) ).

thf(3310,plain,
    ! [SV206: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3260]) ).

thf(3311,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
               != n ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3261]) ).

thf(3312,plain,
    ! [SV206: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3261]) ).

thf(3313,plain,
    ! [SV206: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
         != n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3262]) ).

thf(3314,plain,
    ! [SV431: $i,SV667: $i,SV661: $i,SV208: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ SV208 @ SV661 )
          = ( hAPP_A588601142di_nat @ SV208 @ SV667 ) )
        = $false )
      | ( ( SV661 = SV667 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV667 ) @ SV431 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV667 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV661 ) @ SV431 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV661 )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV208 @ SV431 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3264]) ).

thf(3315,plain,
    ! [SV213: $i,SV665: $i,SV658: $i,SV672: $i,SV668: $i] :
      ( ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV672 ) )
        = $true )
      | ( ( ~ ! [SY1446: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1446 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1446 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1446 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1446 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1446 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3265]) ).

thf(3316,plain,
    ! [SV675: $i,SV213: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SV675 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SV675 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SV675 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SV675 ) ) ) ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV675 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3266]) ).

thf(3317,plain,
    ! [SV213: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3267]) ).

thf(3318,plain,
    ! [SV213: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3268]) ).

thf(3319,plain,
    ! [SV634: $i,SV564: $i,SV449: $i,SV228: $i] :
      ( ( ( ~ ( ( ( produc171383831le_alt @ SV228 @ SV449 )
               != ( produc171383831le_alt @ SV564 @ SV634 ) )
              | ~ ( ( SV228 != SV564 )
                  | ( SV449 != SV634 ) ) )
          | ~ ( ~ ~ ( ( SV228 != SV564 )
                    | ( SV449 != SV634 ) )
              | ( ( produc171383831le_alt @ SV228 @ SV449 )
                = ( produc171383831le_alt @ SV564 @ SV634 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV564 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV449 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV634 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3269]) ).

thf(3320,plain,
    ! [SV236: $i,SV456: $i,SV637: $i,SV568: $i,SV653: $i] :
      ( ( ( ~ ( ( SV653 != SV568 ) ) )
        = $true )
      | ( ( ~ ( ( SV637 != SV568 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3270]) ).

thf(3321,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3271]) ).

thf(3322,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3272]) ).

thf(3323,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3273]) ).

thf(3324,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3274]) ).

thf(3325,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3274]) ).

thf(3326,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3275]) ).

thf(3327,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3276]) ).

thf(3328,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3277]) ).

thf(3329,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3277]) ).

thf(3330,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
         != n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3278]) ).

thf(3331,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
          | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3279]) ).

thf(3332,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3280]) ).

thf(3333,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3281]) ).

thf(3334,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3283]) ).

thf(3335,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3284]) ).

thf(3336,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $false )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3285]) ).

thf(3337,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3286]) ).

thf(3338,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) ) )
        = $false )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3287]) ).

thf(3339,plain,
    ! [SV252: $i,SV471: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ ( sK22_SY1447 @ SV471 @ SV252 ) ) )
        = $false )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3287]) ).

thf(3340,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) ) ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3288]) ).

thf(3341,plain,
    ! [SV252: $i,SV471: $i,SV674: $i,SV673: $i] :
      ( ( ( ~ ( is_Arr553848933le_alt @ SV673 ) )
        = $true )
      | ( ( ~ ( is_Arr553848933le_alt @ SV674 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) ) ) ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3289]) ).

thf(3342,plain,
    ! [SV78: $i,SV319: $i,SV649: $i,SV501: $i,SV587: $i,SV654: $i] :
      ( ( ( is_Arr553848933le_alt @ SV654 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( ~ ( ( SV649 != SV654 ) )
          | ~ ( ( SV501 != SV587 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3290]) ).

thf(3343,plain,
    ! [SV505: $i,SV87: $i,SV591: $i,SV327: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                | ~ ( ( SV87 != SV591 )
                    | ( SV87 != SV327 ) ) )
          | ~ ( ~ ( ( SV87 != SV591 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3291]) ).

thf(3344,plain,
    ! [SV505: $i,SV87: $i,SV591: $i,SV327: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                | ~ ( ( SV87 != SV591 )
                    | ( SV87 != SV327 ) ) )
          | ~ ( ~ ( ( SV87 != SV591 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3292]) ).

thf(3345,plain,
    ! [SV599: $i,SV516: $i,SV346: $i,SV107: $i] :
      ( ( ( ( produc171383831le_alt @ SV107 @ SV346 )
          = ( produc171383831le_alt @ SV516 @ SV599 ) )
        = $false )
      | ( ( ~ ( ( SV107 != SV516 )
              | ( SV346 != SV599 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV516 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV107 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV346 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV599 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3293]) ).

thf(3346,plain,
    ! [SV352: $i,SV113: $i,SV519: $i,SV650: $i,SV602: $i] :
      ( ( ( ~ ( ( SV602 != SV650 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                            | ~ ( ( SV113 != SV650 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                      | ~ ( ~ ( ( SV113 != SV650 ) )
                          | ~ ( ~ ( ( SV352 != SV650 )
                                  | ( SV113 = SV602 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                              | ~ ( ~ ( ( SV352 != SV650 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SV650 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SV650 ) )
                            | ~ ( ~ ( ( SV352 != SV650 )
                                    | ( SV113 = SV602 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                                | ~ ( ~ ( ( SV352 != SV650 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3294]) ).

thf(3347,plain,
    ! [SV127: $i,SV363: $i,SV651: $i,SV525: $i,SV608: $i,SV655: $i] :
      ( ( ( is_Arr553848933le_alt @ SV655 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( ~ ( ( SV651 != SV655 ) )
          | ~ ( ( SV525 != SV608 ) )
          | ~ ( ( SV651 != SV608 ) )
          | ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3295]) ).

thf(3348,plain,
    ! [SV133: $i,SV368: $i,SV652: $i,SV528: $i,SV610: $i,SV656: $i] :
      ( ( ( is_Arr553848933le_alt @ SV656 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( ~ ( ( SV652 != SV656 ) )
          | ~ ( ( SV528 != SV610 ) )
          | ~ ( ( SV652 != SV610 ) )
          | ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3296]) ).

thf(3349,plain,
    ! [SV664: $i,SV666: $i,SV657: $i,SV162: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ ( sK23_SY1440 @ SV162 @ SV657 @ SV666 @ SV664 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_A1374816149t_bool @ SV657 @ ( sK23_SY1440 @ SV162 @ SV657 @ SV666 @ SV664 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SV657 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV664 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV666 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV657 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3297]) ).

thf(3350,plain,
    ! [SV168: $i,SV399: $i] :
      ( ( ( is_fun282293932t_bool @ ( sK20_SY1218 @ SV399 @ SV168 ) )
        = $true )
      | ( ( SV168 = SV399 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV168 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV399 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3298]) ).

thf(3351,plain,
    ! [SV168: $i,SV399: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ ( sK20_SY1218 @ SV399 @ SV168 ) ) @ arrow_1239002508le_Lin ) )
        = $true )
      | ( ( SV168 = SV399 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV168 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV399 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3299]) ).

thf(3352,plain,
    ! [SV543: $i,SV620: $i,SV404: $i,SV173: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3300]) ).

thf(3353,plain,
    ! [SV547: $i,SV417: $i,SV623: $i,SV189: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                | ~ ( ( SV417 != SV623 )
                    | ( SV189 != SV417 ) ) )
          | ~ ( ~ ( ( SV417 != SV623 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3301]) ).

thf(3354,plain,
    ! [SV547: $i,SV417: $i,SV623: $i,SV189: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                | ~ ( ( SV417 != SV623 )
                    | ( SV189 != SV417 ) ) )
          | ~ ( ~ ( ( SV417 != SV623 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3302]) ).

thf(3355,plain,
    ! [SV625: $i,SV421: $i,SV193: $i,SV550: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ SV550 @ SV193 )
          = ( hAPP_A588601142di_nat @ SV550 @ SV421 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV421 ) @ SV625 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV193 ) @ SV625 ) )
        = $false )
      | ( ( SV193 = SV421 )
        = $true )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV550 @ SV625 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV193 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV421 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3303]) ).

thf(3356,plain,
    ! [SV551: $i,SV422: $i,SV196: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) )
        = $true )
      | ( ( SV196 = SV422 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV196 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV422 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3304]) ).

thf(3357,plain,
    ! [SV551: $i,SV422: $i,SV196: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV196 @ SV422 ) ) @ SV551 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV422 @ SV196 ) ) @ SV551 ) )
        = $false )
      | ( ( SV196 = SV422 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV551 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV196 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV422 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3305]) ).

thf(3358,plain,
    ! [SV626: $i,SV197: $i,SV423: $i,SV552: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
         != ( hAPP_A588601142di_nat @ SV552 @ SV197 ) )
        = $true )
      | ( ( SV423 = SV197 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV197 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV423 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3306]) ).

thf(3359,plain,
    ! [SV626: $i,SV552: $i,SV197: $i,SV423: $i] :
      ( ( ( SV423 != SV197 )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
          = ( hAPP_A588601142di_nat @ SV552 @ SV197 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV197 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV423 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3307]) ).

thf(3360,plain,
    ! [SV206: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
               != n ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3308]) ).

thf(3361,plain,
    ! [SV206: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3308]) ).

thf(3362,plain,
    ! [SV206: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
         != n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3309]) ).

thf(3363,plain,
    ! [SV206: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
         != n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3311]) ).

thf(3364,plain,
    ! [SV206: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
          = n )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3313]) ).

thf(3365,plain,
    ! [SV213: $i,SV665: $i,SV658: $i,SV668: $i,SV672: $i] :
      ( ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( ~ ! [SY1446: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1446 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1446 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1446 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1446 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1446 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3315]) ).

thf(3366,plain,
    ! [SV675: $i,SV213: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SV675 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SV675 ) ) ) ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV675 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3316]) ).

thf(3367,plain,
    ! [SV675: $i,SV213: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SV675 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SV675 ) ) ) ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV675 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3316]) ).

thf(3368,plain,
    ! [SV213: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3317]) ).

thf(3369,plain,
    ! [SV213: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3318]) ).

thf(3370,plain,
    ! [SV213: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3318]) ).

thf(3371,plain,
    ! [SV634: $i,SV564: $i,SV449: $i,SV228: $i] :
      ( ( ( ~ ( ( ( produc171383831le_alt @ SV228 @ SV449 )
               != ( produc171383831le_alt @ SV564 @ SV634 ) )
              | ~ ( ( SV228 != SV564 )
                  | ( SV449 != SV634 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV564 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV449 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV634 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3319]) ).

thf(3372,plain,
    ! [SV634: $i,SV449: $i,SV564: $i,SV228: $i] :
      ( ( ( ~ ( ~ ~ ( ( SV228 != SV564 )
                    | ( SV449 != SV634 ) )
              | ( ( produc171383831le_alt @ SV228 @ SV449 )
                = ( produc171383831le_alt @ SV564 @ SV634 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV564 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV449 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV634 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3319]) ).

thf(3373,plain,
    ! [SV236: $i,SV456: $i,SV637: $i,SV568: $i,SV653: $i] :
      ( ( ( SV653 != SV568 )
        = $false )
      | ( ( ~ ( ( SV637 != SV568 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3320]) ).

thf(3374,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3321]) ).

thf(3375,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3322]) ).

thf(3376,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3323]) ).

thf(3377,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3323]) ).

thf(3378,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
         != n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3324]) ).

thf(3379,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
          | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3325]) ).

thf(3380,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3327]) ).

thf(3381,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
         != n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3328]) ).

thf(3382,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
          | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3329]) ).

thf(3383,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3330]) ).

thf(3384,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3331]) ).

thf(3385,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3331]) ).

thf(3386,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3332]) ).

thf(3387,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $false )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3333]) ).

thf(3388,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3334]) ).

thf(3389,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3336]) ).

thf(3390,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3337]) ).

thf(3391,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3337]) ).

thf(3392,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( is_Arr553848933le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3338]) ).

thf(3393,plain,
    ! [SV252: $i,SV471: $i] :
      ( ( ( is_Arr553848933le_alt @ ( sK22_SY1447 @ SV471 @ SV252 ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3339]) ).

thf(3394,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) ) ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3340]) ).

thf(3395,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) ) ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3340]) ).

thf(3396,plain,
    ! [SV252: $i,SV471: $i,SV674: $i,SV673: $i] :
      ( ( ( is_Arr553848933le_alt @ SV673 )
        = $false )
      | ( ( ~ ( is_Arr553848933le_alt @ SV674 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) ) ) ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3341]) ).

thf(3397,plain,
    ! [SV78: $i,SV319: $i,SV587: $i,SV501: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( ( SV649 != SV654 ) ) )
        = $true )
      | ( ( ~ ( ( SV501 != SV587 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3342]) ).

thf(3398,plain,
    ! [SV505: $i,SV87: $i,SV591: $i,SV327: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                | ~ ( ( SV87 != SV591 )
                    | ( SV87 != SV327 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3343]) ).

thf(3399,plain,
    ! [SV505: $i,SV327: $i,SV591: $i,SV87: $i] :
      ( ( ( ~ ( ~ ( ( SV87 != SV591 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3343]) ).

thf(3400,plain,
    ! [SV505: $i,SV87: $i,SV591: $i,SV327: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV327 != SV591 ) )
                | ~ ( ( SV87 != SV591 )
                    | ( SV87 != SV327 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV87 != SV591 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3344]) ).

thf(3401,plain,
    ! [SV599: $i,SV346: $i,SV516: $i,SV107: $i] :
      ( ( ( ( SV107 != SV516 )
          | ( SV346 != SV599 ) )
        = $false )
      | ( ( ( produc171383831le_alt @ SV107 @ SV346 )
          = ( produc171383831le_alt @ SV516 @ SV599 ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV516 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV107 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV346 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV599 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3345]) ).

thf(3402,plain,
    ! [SV352: $i,SV113: $i,SV519: $i,SV650: $i,SV602: $i] :
      ( ( ( SV602 != SV650 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                            | ~ ( ( SV113 != SV650 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                      | ~ ( ~ ( ( SV113 != SV650 ) )
                          | ~ ( ~ ( ( SV352 != SV650 )
                                  | ( SV113 = SV602 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                              | ~ ( ~ ( ( SV352 != SV650 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SV650 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SV650 ) )
                            | ~ ( ~ ( ( SV352 != SV650 )
                                    | ( SV113 = SV602 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                                | ~ ( ~ ( ( SV352 != SV650 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3346]) ).

thf(3403,plain,
    ! [SV127: $i,SV363: $i,SV608: $i,SV525: $i,SV655: $i,SV651: $i] :
      ( ( ( ~ ( ( SV651 != SV655 ) ) )
        = $true )
      | ( ( ~ ( ( SV525 != SV608 ) )
          | ~ ( ( SV651 != SV608 ) )
          | ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3347]) ).

thf(3404,plain,
    ! [SV133: $i,SV368: $i,SV610: $i,SV528: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( ( SV652 != SV656 ) ) )
        = $true )
      | ( ( ~ ( ( SV528 != SV610 ) )
          | ~ ( ( SV652 != SV610 ) )
          | ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3348]) ).

thf(3405,plain,
    ! [SV664: $i,SV666: $i,SV657: $i,SV162: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ ( sK23_SY1440 @ SV162 @ SV657 @ SV666 @ SV664 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SV657 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV664 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV666 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV657 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3349]) ).

thf(3406,plain,
    ! [SV162: $i,SV657: $i,SV666: $i,SV664: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_A1374816149t_bool @ SV657 @ ( sK23_SY1440 @ SV162 @ SV657 @ SV666 @ SV664 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SV657 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV664 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV666 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV657 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3349]) ).

thf(3407,plain,
    ! [SV543: $i,SV620: $i,SV404: $i,SV173: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3352]) ).

thf(3408,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3352]) ).

thf(3409,plain,
    ! [SV547: $i,SV417: $i,SV623: $i,SV189: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                | ~ ( ( SV417 != SV623 )
                    | ( SV189 != SV417 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3353]) ).

thf(3410,plain,
    ! [SV547: $i,SV189: $i,SV623: $i,SV417: $i] :
      ( ( ( ~ ( ~ ( ( SV417 != SV623 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3353]) ).

thf(3411,plain,
    ! [SV547: $i,SV417: $i,SV623: $i,SV189: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV189 != SV623 ) )
                | ~ ( ( SV417 != SV623 )
                    | ( SV189 != SV417 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV417 != SV623 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3354]) ).

thf(3412,plain,
    ! [SV626: $i,SV197: $i,SV423: $i,SV552: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
          = ( hAPP_A588601142di_nat @ SV552 @ SV197 ) )
        = $false )
      | ( ( SV423 = SV197 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV197 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV423 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3358]) ).

thf(3413,plain,
    ! [SV626: $i,SV552: $i,SV197: $i,SV423: $i] :
      ( ( ( SV423 = SV197 )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ SV552 @ SV423 )
          = ( hAPP_A588601142di_nat @ SV552 @ SV197 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV197 ) @ SV626 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f919661787l_bool @ ( member2074804542e_indi @ SV423 ) @ SV626 ) )
        = $false )
      | ( ( hBOOL @ ( inj_on24934938di_nat @ SV552 @ SV626 ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV197 )
        = $false )
      | ( ( is_Arr625519182e_indi @ SV423 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3359]) ).

thf(3414,plain,
    ! [SV206: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
         != n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3360]) ).

thf(3415,plain,
    ! [SV206: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
          = n )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3362]) ).

thf(3416,plain,
    ! [SV206: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
          = n )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3363]) ).

thf(3417,plain,
    ! [SV213: $i,SV665: $i,SV658: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ! [SY1446: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1446 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1446 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1446 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1446 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1446 ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3365]) ).

thf(3418,plain,
    ! [SV675: $i,SV213: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SV675 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SV675 ) ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV675 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3366]) ).

thf(3419,plain,
    ! [SV675: $i,SV213: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SV675 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SV675 ) ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV675 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3367]) ).

thf(3420,plain,
    ! [SV213: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3368]) ).

thf(3421,plain,
    ! [SV213: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3368]) ).

thf(3422,plain,
    ! [SV213: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3369]) ).

thf(3423,plain,
    ! [SV634: $i,SV564: $i,SV449: $i,SV228: $i] :
      ( ( ( ( ( produc171383831le_alt @ SV228 @ SV449 )
           != ( produc171383831le_alt @ SV564 @ SV634 ) )
          | ~ ( ( SV228 != SV564 )
              | ( SV449 != SV634 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV564 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV449 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV634 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3371]) ).

thf(3424,plain,
    ! [SV634: $i,SV449: $i,SV564: $i,SV228: $i] :
      ( ( ( ~ ~ ( ( SV228 != SV564 )
                | ( SV449 != SV634 ) )
          | ( ( produc171383831le_alt @ SV228 @ SV449 )
            = ( produc171383831le_alt @ SV564 @ SV634 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV564 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV449 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV634 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3372]) ).

thf(3425,plain,
    ! [SV236: $i,SV456: $i,SV637: $i,SV568: $i,SV653: $i] :
      ( ( ( SV653 = SV568 )
        = $true )
      | ( ( ~ ( ( SV637 != SV568 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3373]) ).

thf(3426,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3375]) ).

thf(3427,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
         != n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3376]) ).

thf(3428,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
          | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3377]) ).

thf(3429,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3378]) ).

thf(3430,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3379]) ).

thf(3431,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3379]) ).

thf(3432,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3381]) ).

thf(3433,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3382]) ).

thf(3434,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3382]) ).

thf(3435,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
          | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3383]) ).

thf(3436,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3384]) ).

thf(3437,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3385]) ).

thf(3438,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
              | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                       != n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3387]) ).

thf(3439,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3388]) ).

thf(3440,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3388]) ).

thf(3441,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3389]) ).

thf(3442,plain,
    ! [SV240: $i] :
      ( ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
           != n )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3390]) ).

thf(3443,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3391]) ).

thf(3444,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) ) ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3394]) ).

thf(3445,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) )
        = $false )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3395]) ).

thf(3446,plain,
    ! [SV252: $i,SV471: $i,SV673: $i,SV674: $i] :
      ( ( ( is_Arr553848933le_alt @ SV674 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV673 )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) ) ) ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3396]) ).

thf(3447,plain,
    ! [SV78: $i,SV319: $i,SV587: $i,SV501: $i,SV654: $i,SV649: $i] :
      ( ( ( SV649 != SV654 )
        = $false )
      | ( ( ~ ( ( SV501 != SV587 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3397]) ).

thf(3448,plain,
    ! [SV505: $i,SV87: $i,SV591: $i,SV327: $i] :
      ( ( ( ~ ( ~ ( ( SV327 != SV591 ) )
              | ~ ( ( SV87 != SV591 )
                  | ( SV87 != SV327 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3398]) ).

thf(3449,plain,
    ! [SV505: $i,SV327: $i,SV591: $i,SV87: $i] :
      ( ( ( ~ ( ( SV87 != SV591 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3399]) ).

thf(3450,plain,
    ! [SV505: $i,SV87: $i,SV591: $i,SV327: $i] :
      ( ( ( ~ ( ~ ( ( SV327 != SV591 ) )
              | ~ ( ( SV87 != SV591 )
                  | ( SV87 != SV327 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ( SV87 != SV591 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3400]) ).

thf(3451,plain,
    ! [SV599: $i,SV346: $i,SV516: $i,SV107: $i] :
      ( ( ( SV107 != SV516 )
        = $false )
      | ( ( ( produc171383831le_alt @ SV107 @ SV346 )
          = ( produc171383831le_alt @ SV516 @ SV599 ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV516 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV107 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV346 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV599 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3401]) ).

thf(3452,plain,
    ! [SV516: $i,SV107: $i,SV599: $i,SV346: $i] :
      ( ( ( SV346 != SV599 )
        = $false )
      | ( ( ( produc171383831le_alt @ SV107 @ SV346 )
          = ( produc171383831le_alt @ SV516 @ SV599 ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV516 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV107 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV346 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV599 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3401]) ).

thf(3453,plain,
    ! [SV352: $i,SV113: $i,SV519: $i,SV650: $i,SV602: $i] :
      ( ( ( SV602 = SV650 )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                            | ~ ( ( SV113 != SV650 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                      | ~ ( ~ ( ( SV113 != SV650 ) )
                          | ~ ( ~ ( ( SV352 != SV650 )
                                  | ( SV113 = SV602 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                              | ~ ( ~ ( ( SV352 != SV650 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SV650 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SV650 ) )
                            | ~ ( ~ ( ( SV352 != SV650 )
                                    | ( SV113 = SV602 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                                | ~ ( ~ ( ( SV352 != SV650 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3402]) ).

thf(3454,plain,
    ! [SV127: $i,SV363: $i,SV608: $i,SV525: $i,SV655: $i,SV651: $i] :
      ( ( ( SV651 != SV655 )
        = $false )
      | ( ( ~ ( ( SV525 != SV608 ) )
          | ~ ( ( SV651 != SV608 ) )
          | ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3403]) ).

thf(3455,plain,
    ! [SV133: $i,SV368: $i,SV610: $i,SV528: $i,SV656: $i,SV652: $i] :
      ( ( ( SV652 != SV656 )
        = $false )
      | ( ( ~ ( ( SV528 != SV610 ) )
          | ~ ( ( SV652 != SV610 ) )
          | ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3404]) ).

thf(3456,plain,
    ! [SV664: $i,SV666: $i,SV657: $i,SV162: $i] :
      ( ( ( is_Arr625519182e_indi @ ( sK23_SY1440 @ SV162 @ SV657 @ SV666 @ SV664 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV664 @ SV666 ) ) @ ( hAPP_f695124765t_bool @ SV162 @ SV657 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV664 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV666 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV657 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_467566751nimity @ SV162 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3405]) ).

thf(3457,plain,
    ! [SV543: $i,SV620: $i,SV404: $i,SV173: $i] :
      ( ( ( is_Arr625519182e_indi @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3407]) ).

thf(3458,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3408]) ).

thf(3459,plain,
    ! [SV547: $i,SV417: $i,SV623: $i,SV189: $i] :
      ( ( ( ~ ( ~ ( ( SV189 != SV623 ) )
              | ~ ( ( SV417 != SV623 )
                  | ( SV189 != SV417 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3409]) ).

thf(3460,plain,
    ! [SV547: $i,SV189: $i,SV623: $i,SV417: $i] :
      ( ( ( ~ ( ( SV417 != SV623 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3410]) ).

thf(3461,plain,
    ! [SV547: $i,SV417: $i,SV623: $i,SV189: $i] :
      ( ( ( ~ ( ~ ( ( SV189 != SV623 ) )
              | ~ ( ( SV417 != SV623 )
                  | ( SV189 != SV417 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ( SV417 != SV623 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3411]) ).

thf(3462,plain,
    ! [SV206: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
          = n )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV206 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV206 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ c @ d ) ) @ ( hAPP_A1374816149t_bool @ p @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3414]) ).

thf(3463,plain,
    ! [SV213: $i,SV665: $i,SV658: $i,SV672: $i,SV668: $i] :
      ( ( ( ! [SY1446: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1446 )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1446 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1446 ) ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ SY1446 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ SY1446 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3417]) ).

thf(3464,plain,
    ! [SV675: $i,SV213: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SV675 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SV675 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV675 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3418]) ).

thf(3465,plain,
    ! [SV675: $i,SV213: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SV675 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SV675 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV675 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3419]) ).

thf(3466,plain,
    ! [SV213: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK13_SY1419 @ SV213 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_f695124765t_bool @ SV213 @ ( sK6_SY1005 @ SV213 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3420]) ).

thf(3467,plain,
    ! [SV634: $i,SV564: $i,SV449: $i,SV228: $i] :
      ( ( ( ( produc171383831le_alt @ SV228 @ SV449 )
         != ( produc171383831le_alt @ SV564 @ SV634 ) )
        = $true )
      | ( ( ~ ( ( SV228 != SV564 )
              | ( SV449 != SV634 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV564 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV449 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV634 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3423]) ).

thf(3468,plain,
    ! [SV634: $i,SV449: $i,SV564: $i,SV228: $i] :
      ( ( ( ~ ~ ( ( SV228 != SV564 )
                | ( SV449 != SV634 ) ) )
        = $true )
      | ( ( ( produc171383831le_alt @ SV228 @ SV449 )
          = ( produc171383831le_alt @ SV564 @ SV634 ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV564 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV449 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV634 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3424]) ).

thf(3469,plain,
    ! [SV653: $i,SV236: $i,SV456: $i,SV568: $i,SV637: $i] :
      ( ( ( ~ ( ( SV637 != SV568 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3425]) ).

thf(3470,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
              | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3427]) ).

thf(3471,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3428]) ).

thf(3472,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3428]) ).

thf(3473,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
          | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3429]) ).

thf(3474,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3430]) ).

thf(3475,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3431]) ).

thf(3476,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
          | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3432]) ).

thf(3477,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3433]) ).

thf(3478,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3434]) ).

thf(3479,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3435]) ).

thf(3480,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3435]) ).

thf(3481,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3436]) ).

thf(3482,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3437]) ).

thf(3483,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
          | ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3438]) ).

thf(3484,plain,
    ! [SV240: $i] :
      ( ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
           != n )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3439]) ).

thf(3485,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3440]) ).

thf(3486,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3441]) ).

thf(3487,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3441]) ).

thf(3488,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
         != n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3442]) ).

thf(3489,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3443]) ).

thf(3490,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3444]) ).

thf(3491,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) )
        = $false )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3445]) ).

thf(3492,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) )
        = $false )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3445]) ).

thf(3493,plain,
    ! [SV252: $i,SV471: $i,SV674: $i,SV673: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV673 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV674 )
        = $false )
      | ( ( SV471 = SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3446]) ).

thf(3494,plain,
    ! [SV78: $i,SV319: $i,SV587: $i,SV501: $i,SV654: $i,SV649: $i] :
      ( ( ( SV649 = SV654 )
        = $true )
      | ( ( ~ ( ( SV501 != SV587 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3447]) ).

thf(3495,plain,
    ! [SV505: $i,SV87: $i,SV591: $i,SV327: $i] :
      ( ( ( ~ ( ( SV327 != SV591 ) )
          | ~ ( ( SV87 != SV591 )
              | ( SV87 != SV327 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3448]) ).

thf(3496,plain,
    ! [SV505: $i,SV327: $i,SV591: $i,SV87: $i] :
      ( ( ( ~ ( ( SV87 != SV591 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3449]) ).

thf(3497,plain,
    ! [SV505: $i,SV87: $i,SV591: $i,SV327: $i] :
      ( ( ( ~ ( ( SV327 != SV591 ) )
          | ~ ( ( SV87 != SV591 )
              | ( SV87 != SV327 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV87 != SV591 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3450]) ).

thf(3498,plain,
    ! [SV599: $i,SV346: $i,SV516: $i,SV107: $i] :
      ( ( ( SV107 = SV516 )
        = $true )
      | ( ( ( produc171383831le_alt @ SV107 @ SV346 )
          = ( produc171383831le_alt @ SV516 @ SV599 ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV516 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV107 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV346 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV599 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3451]) ).

thf(3499,plain,
    ! [SV516: $i,SV107: $i,SV599: $i,SV346: $i] :
      ( ( ( SV346 = SV599 )
        = $true )
      | ( ( ( produc171383831le_alt @ SV107 @ SV346 )
          = ( produc171383831le_alt @ SV516 @ SV599 ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV516 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV107 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV346 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV599 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3452]) ).

thf(3500,plain,
    ! [SV650: $i,SV602: $i,SV352: $i,SV113: $i,SV519: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                            | ~ ( ( SV113 != SV650 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                      | ~ ( ~ ( ( SV113 != SV650 ) )
                          | ~ ( ~ ( ( SV352 != SV650 )
                                  | ( SV113 = SV602 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                              | ~ ( ~ ( ( SV352 != SV650 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SV650 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SV650 ) )
                            | ~ ( ~ ( ( SV352 != SV650 )
                                    | ( SV113 = SV602 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                                | ~ ( ~ ( ( SV352 != SV650 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) ) )
        = $true )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3453]) ).

thf(3501,plain,
    ! [SV127: $i,SV363: $i,SV608: $i,SV525: $i,SV655: $i,SV651: $i] :
      ( ( ( SV651 = SV655 )
        = $true )
      | ( ( ~ ( ( SV525 != SV608 ) )
          | ~ ( ( SV651 != SV608 ) )
          | ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3454]) ).

thf(3502,plain,
    ! [SV133: $i,SV368: $i,SV610: $i,SV528: $i,SV656: $i,SV652: $i] :
      ( ( ( SV652 = SV656 )
        = $true )
      | ( ( ~ ( ( SV528 != SV610 ) )
          | ~ ( ( SV652 != SV610 ) )
          | ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3455]) ).

thf(3503,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3457]) ).

thf(3504,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3458]) ).

thf(3505,plain,
    ! [SV547: $i,SV417: $i,SV623: $i,SV189: $i] :
      ( ( ( ~ ( ( SV189 != SV623 ) )
          | ~ ( ( SV417 != SV623 )
              | ( SV189 != SV417 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3459]) ).

thf(3506,plain,
    ! [SV547: $i,SV189: $i,SV623: $i,SV417: $i] :
      ( ( ( ~ ( ( SV417 != SV623 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3460]) ).

thf(3507,plain,
    ! [SV547: $i,SV417: $i,SV623: $i,SV189: $i] :
      ( ( ( ~ ( ( SV189 != SV623 ) )
          | ~ ( ( SV417 != SV623 )
              | ( SV189 != SV417 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV417 != SV623 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3461]) ).

thf(3508,plain,
    ! [SV668: $i,SV672: $i,SV658: $i,SV665: $i,SV213: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3463]) ).

thf(3509,plain,
    ! [SV675: $i,SV213: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SV675 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SV675 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV675 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3464]) ).

thf(3510,plain,
    ! [SV675: $i,SV213: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK13_SY1419 @ SV213 ) @ SV675 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK18_SY1430 @ SV213 ) @ ( sK19_SY1441 @ SV213 ) ) ) @ ( hAPP_A1374816149t_bool @ ( sK6_SY1005 @ SV213 ) @ SV675 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ SV675 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3465]) ).

thf(3511,plain,
    ! [SV634: $i,SV564: $i,SV449: $i,SV228: $i] :
      ( ( ( ( produc171383831le_alt @ SV228 @ SV449 )
          = ( produc171383831le_alt @ SV564 @ SV634 ) )
        = $false )
      | ( ( ~ ( ( SV228 != SV564 )
              | ( SV449 != SV634 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV564 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV449 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV634 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3467]) ).

thf(3512,plain,
    ! [SV634: $i,SV449: $i,SV564: $i,SV228: $i] :
      ( ( ( ~ ( ( SV228 != SV564 )
              | ( SV449 != SV634 ) ) )
        = $false )
      | ( ( ( produc171383831le_alt @ SV228 @ SV449 )
          = ( produc171383831le_alt @ SV564 @ SV634 ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV564 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV449 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV634 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3468]) ).

thf(3513,plain,
    ! [SV653: $i,SV236: $i,SV456: $i,SV568: $i,SV637: $i] :
      ( ( ( SV637 != SV568 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3469]) ).

thf(3514,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
          | ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3470]) ).

thf(3515,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3471]) ).

thf(3516,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3472]) ).

thf(3517,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3473]) ).

thf(3518,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3473]) ).

thf(3519,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3474]) ).

thf(3520,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3475]) ).

thf(3521,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3476]) ).

thf(3522,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3476]) ).

thf(3523,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3477]) ).

thf(3524,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3478]) ).

thf(3525,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3479]) ).

thf(3526,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3480]) ).

thf(3527,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3481]) ).

thf(3528,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3482]) ).

thf(3529,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3483]) ).

thf(3530,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
                   != n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3483]) ).

thf(3531,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
         != n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3484]) ).

thf(3532,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3485]) ).

thf(3533,plain,
    ! [SV240: $i] :
      ( ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
           != n )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3486]) ).

thf(3534,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3487]) ).

thf(3535,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3488]) ).

thf(3536,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
         != n )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3489]) ).

thf(3537,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3490]) ).

thf(3538,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3490]) ).

thf(3539,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) )
        = $false )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3491]) ).

thf(3540,plain,
    ! [SV252: $i,SV471: $i,SV674: $i,SV673: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV673 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV674 )
        = $false )
      | ( ( SV471 = SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3493]) ).

thf(3541,plain,
    ! [SV471: $i,SV252: $i,SV674: $i,SV673: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV673 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV674 )
        = $false )
      | ( ( SV471 = SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3493]) ).

thf(3542,plain,
    ! [SV654: $i,SV649: $i,SV78: $i,SV319: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( ( SV501 != SV587 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3494]) ).

thf(3543,plain,
    ! [SV505: $i,SV87: $i,SV591: $i,SV327: $i] :
      ( ( ( ~ ( ( SV327 != SV591 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3495]) ).

thf(3544,plain,
    ! [SV505: $i,SV327: $i,SV591: $i,SV87: $i] :
      ( ( ( ~ ( ( SV87 != SV591 )
              | ( SV87 != SV327 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3495]) ).

thf(3545,plain,
    ! [SV505: $i,SV327: $i,SV591: $i,SV87: $i] :
      ( ( ( SV87 != SV591 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3496]) ).

thf(3546,plain,
    ! [SV505: $i,SV87: $i,SV591: $i,SV327: $i] :
      ( ( ( ~ ( ( SV327 != SV591 ) ) )
        = $true )
      | ( ( ~ ( ( SV87 != SV591 )
              | ( SV87 != SV327 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV87 != SV591 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3497]) ).

thf(3547,plain,
    ! [SV650: $i,SV602: $i,SV352: $i,SV113: $i,SV519: $i] :
      ( ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
                  | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                            | ~ ( ( SV113 != SV650 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                      | ~ ( ~ ( ( SV113 != SV650 ) )
                          | ~ ( ~ ( ( SV352 != SV650 )
                                  | ( SV113 = SV602 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                              | ~ ( ~ ( ( SV352 != SV650 ) )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                              | ~ ( ( SV113 != SV650 )
                                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                        | ~ ( ~ ( ( SV113 != SV650 ) )
                            | ~ ( ~ ( ( SV352 != SV650 )
                                    | ( SV113 = SV602 )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                                | ~ ( ~ ( ( SV352 != SV650 ) )
                                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) ) )
        = $true )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3500]) ).

thf(3548,plain,
    ! [SV127: $i,SV363: $i,SV655: $i,SV651: $i,SV608: $i,SV525: $i] :
      ( ( ( ~ ( ( SV525 != SV608 ) ) )
        = $true )
      | ( ( ~ ( ( SV651 != SV608 ) )
          | ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3501]) ).

thf(3549,plain,
    ! [SV133: $i,SV368: $i,SV656: $i,SV652: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( ( SV528 != SV610 ) ) )
        = $true )
      | ( ( ~ ( ( SV652 != SV610 ) )
          | ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3502]) ).

thf(3550,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3503]) ).

thf(3551,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3503]) ).

thf(3552,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3504]) ).

thf(3553,plain,
    ! [SV547: $i,SV417: $i,SV623: $i,SV189: $i] :
      ( ( ( ~ ( ( SV189 != SV623 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3505]) ).

thf(3554,plain,
    ! [SV547: $i,SV189: $i,SV623: $i,SV417: $i] :
      ( ( ( ~ ( ( SV417 != SV623 )
              | ( SV189 != SV417 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3505]) ).

thf(3555,plain,
    ! [SV547: $i,SV189: $i,SV623: $i,SV417: $i] :
      ( ( ( SV417 != SV623 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3506]) ).

thf(3556,plain,
    ! [SV547: $i,SV417: $i,SV623: $i,SV189: $i] :
      ( ( ( ~ ( ( SV189 != SV623 ) ) )
        = $true )
      | ( ( ~ ( ( SV417 != SV623 )
              | ( SV189 != SV417 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV417 != SV623 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3507]) ).

thf(3557,plain,
    ! [SV668: $i,SV672: $i,SV658: $i,SV665: $i,SV213: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3508]) ).

thf(3558,plain,
    ! [SV665: $i,SV213: $i,SV658: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3508]) ).

thf(3559,plain,
    ! [SV634: $i,SV449: $i,SV564: $i,SV228: $i] :
      ( ( ( ( SV228 != SV564 )
          | ( SV449 != SV634 ) )
        = $false )
      | ( ( ( produc171383831le_alt @ SV228 @ SV449 )
          = ( produc171383831le_alt @ SV564 @ SV634 ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV564 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV449 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV634 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3511]) ).

thf(3560,plain,
    ! [SV634: $i,SV449: $i,SV564: $i,SV228: $i] :
      ( ( ( ( SV228 != SV564 )
          | ( SV449 != SV634 ) )
        = $true )
      | ( ( ( produc171383831le_alt @ SV228 @ SV449 )
          = ( produc171383831le_alt @ SV564 @ SV634 ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV564 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV449 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV634 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3512]) ).

thf(3561,plain,
    ! [SV653: $i,SV236: $i,SV456: $i,SV568: $i,SV637: $i] :
      ( ( ( SV637 = SV568 )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3513]) ).

thf(3562,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3514]) ).

thf(3563,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3514]) ).

thf(3564,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3515]) ).

thf(3565,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3516]) ).

thf(3566,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3517]) ).

thf(3567,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3518]) ).

thf(3568,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3519]) ).

thf(3569,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3520]) ).

thf(3570,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3521]) ).

thf(3571,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3522]) ).

thf(3572,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3523]) ).

thf(3573,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3524]) ).

thf(3574,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3525]) ).

thf(3575,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3526]) ).

thf(3576,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3528]) ).

thf(3577,plain,
    ! [SV240: $i] :
      ( ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
           != n )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3529]) ).

thf(3578,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3530]) ).

thf(3579,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3531]) ).

thf(3580,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
         != n )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3532]) ).

thf(3581,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
         != n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3533]) ).

thf(3582,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3534]) ).

thf(3583,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3536]) ).

thf(3584,plain,
    ! [SV471: $i,SV252: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV252 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ ( sK21_SY1287 @ SV252 @ SV471 ) @ ( sK22_SY1447 @ SV471 @ SV252 ) ) ) @ SV471 ) )
        = $true )
      | ( ( SV471 = SV252 )
        = $true )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3537]) ).

thf(3585,plain,
    ! [SV252: $i,SV471: $i,SV674: $i,SV673: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV673 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV674 )
        = $false )
      | ( ( SV471 = SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3540]) ).

thf(3586,plain,
    ! [SV471: $i,SV252: $i,SV674: $i,SV673: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV673 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV674 )
        = $false )
      | ( ( SV471 = SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3541]) ).

thf(3587,plain,
    ! [SV654: $i,SV649: $i,SV78: $i,SV319: $i,SV587: $i,SV501: $i] :
      ( ( ( SV501 != SV587 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3542]) ).

thf(3588,plain,
    ! [SV505: $i,SV87: $i,SV591: $i,SV327: $i] :
      ( ( ( SV327 != SV591 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3543]) ).

thf(3589,plain,
    ! [SV505: $i,SV327: $i,SV591: $i,SV87: $i] :
      ( ( ( ( SV87 != SV591 )
          | ( SV87 != SV327 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3544]) ).

thf(3590,plain,
    ! [SV505: $i,SV327: $i,SV591: $i,SV87: $i] :
      ( ( ( SV87 = SV591 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3545]) ).

thf(3591,plain,
    ! [SV505: $i,SV87: $i,SV591: $i,SV327: $i] :
      ( ( ( SV327 != SV591 )
        = $false )
      | ( ( ~ ( ( SV87 != SV591 )
              | ( SV87 != SV327 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV87 != SV591 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3546]) ).

thf(3592,plain,
    ! [SV650: $i,SV602: $i,SV519: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
              | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                        | ~ ( ( SV113 != SV650 )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                  | ~ ( ~ ( ( SV113 != SV650 ) )
                      | ~ ( ~ ( ( SV352 != SV650 )
                              | ( SV113 = SV602 )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                          | ~ ( ~ ( ( SV352 != SV650 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                          | ~ ( ( SV113 != SV650 )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                    | ~ ( ~ ( ( SV113 != SV650 ) )
                        | ~ ( ~ ( ( SV352 != SV650 )
                                | ( SV113 = SV602 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                            | ~ ( ~ ( ( SV352 != SV650 ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3547]) ).

thf(3593,plain,
    ! [SV127: $i,SV363: $i,SV655: $i,SV651: $i,SV608: $i,SV525: $i] :
      ( ( ( SV525 != SV608 )
        = $false )
      | ( ( ~ ( ( SV651 != SV608 ) )
          | ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3548]) ).

thf(3594,plain,
    ! [SV133: $i,SV368: $i,SV656: $i,SV652: $i,SV610: $i,SV528: $i] :
      ( ( ( SV528 != SV610 )
        = $false )
      | ( ( ~ ( ( SV652 != SV610 ) )
          | ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3549]) ).

thf(3595,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3550]) ).

thf(3596,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3551]) ).

thf(3597,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3552]) ).

thf(3598,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3552]) ).

thf(3599,plain,
    ! [SV547: $i,SV417: $i,SV623: $i,SV189: $i] :
      ( ( ( SV189 != SV623 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3553]) ).

thf(3600,plain,
    ! [SV547: $i,SV189: $i,SV623: $i,SV417: $i] :
      ( ( ( ( SV417 != SV623 )
          | ( SV189 != SV417 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3554]) ).

thf(3601,plain,
    ! [SV547: $i,SV189: $i,SV623: $i,SV417: $i] :
      ( ( ( SV417 = SV623 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3555]) ).

thf(3602,plain,
    ! [SV547: $i,SV417: $i,SV623: $i,SV189: $i] :
      ( ( ( SV189 != SV623 )
        = $false )
      | ( ( ~ ( ( SV417 != SV623 )
              | ( SV189 != SV417 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV417 != SV623 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3556]) ).

thf(3603,plain,
    ! [SV668: $i,SV672: $i,SV658: $i,SV665: $i,SV213: $i] :
      ( ( ( is_Arr625519182e_indi @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3557]) ).

thf(3604,plain,
    ! [SV665: $i,SV213: $i,SV658: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3558]) ).

thf(3605,plain,
    ! [SV634: $i,SV449: $i,SV564: $i,SV228: $i] :
      ( ( ( SV228 != SV564 )
        = $false )
      | ( ( ( produc171383831le_alt @ SV228 @ SV449 )
          = ( produc171383831le_alt @ SV564 @ SV634 ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV564 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV449 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV634 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3559]) ).

thf(3606,plain,
    ! [SV564: $i,SV228: $i,SV634: $i,SV449: $i] :
      ( ( ( SV449 != SV634 )
        = $false )
      | ( ( ( produc171383831le_alt @ SV228 @ SV449 )
          = ( produc171383831le_alt @ SV564 @ SV634 ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV564 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV449 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV634 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3559]) ).

thf(3607,plain,
    ! [SV634: $i,SV449: $i,SV564: $i,SV228: $i] :
      ( ( ( SV228 != SV564 )
        = $true )
      | ( ( SV449 != SV634 )
        = $true )
      | ( ( ( produc171383831le_alt @ SV228 @ SV449 )
          = ( produc171383831le_alt @ SV564 @ SV634 ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV564 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV449 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV634 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3560]) ).

thf(3608,plain,
    ! [SV568: $i,SV653: $i,SV637: $i,SV236: $i,SV456: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3561]) ).

thf(3609,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3562]) ).

thf(3610,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3563]) ).

thf(3611,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3564]) ).

thf(3612,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3565]) ).

thf(3613,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3566]) ).

thf(3614,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3567]) ).

thf(3615,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3569]) ).

thf(3616,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3570]) ).

thf(3617,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3571]) ).

thf(3618,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3573]) ).

thf(3619,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3574]) ).

thf(3620,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3575]) ).

thf(3621,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
         != n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3577]) ).

thf(3622,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
               != n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3578]) ).

thf(3623,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3580]) ).

thf(3624,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3581]) ).

thf(3625,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
         != n )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3582]) ).

thf(3626,plain,
    ! [SV252: $i,SV471: $i,SV674: $i,SV673: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV673 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV674 )
        = $false )
      | ( ( SV471 = SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3585]) ).

thf(3627,plain,
    ! [SV471: $i,SV252: $i,SV674: $i,SV673: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV673 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV674 )
        = $false )
      | ( ( SV471 = SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3586]) ).

thf(3628,plain,
    ! [SV654: $i,SV649: $i,SV78: $i,SV319: $i,SV587: $i,SV501: $i] :
      ( ( ( SV501 = SV587 )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3587]) ).

thf(3629,plain,
    ! [SV505: $i,SV87: $i,SV591: $i,SV327: $i] :
      ( ( ( SV327 = SV591 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3588]) ).

thf(3630,plain,
    ! [SV505: $i,SV327: $i,SV591: $i,SV87: $i] :
      ( ( ( SV87 != SV591 )
        = $true )
      | ( ( SV87 != SV327 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3589]) ).

thf(3631,plain,
    ! [SV505: $i,SV87: $i,SV591: $i,SV327: $i] :
      ( ( ( SV327 = SV591 )
        = $true )
      | ( ( ~ ( ( SV87 != SV591 )
              | ( SV87 != SV327 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV87 != SV591 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3591]) ).

thf(3632,plain,
    ! [SV650: $i,SV602: $i,SV519: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
              | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                        | ~ ( ( SV113 != SV650 )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                  | ~ ( ~ ( ( SV113 != SV650 ) )
                      | ~ ( ~ ( ( SV352 != SV650 )
                              | ( SV113 = SV602 )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                          | ~ ( ~ ( ( SV352 != SV650 ) )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3592]) ).

thf(3633,plain,
    ! [SV519: $i,SV602: $i,SV650: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                          | ~ ( ( SV113 != SV650 )
                              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                    | ~ ( ~ ( ( SV113 != SV650 ) )
                        | ~ ( ~ ( ( SV352 != SV650 )
                                | ( SV113 = SV602 )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                            | ~ ( ~ ( ( SV352 != SV650 ) )
                                | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3592]) ).

thf(3634,plain,
    ! [SV127: $i,SV363: $i,SV655: $i,SV651: $i,SV608: $i,SV525: $i] :
      ( ( ( SV525 = SV608 )
        = $true )
      | ( ( ~ ( ( SV651 != SV608 ) )
          | ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3593]) ).

thf(3635,plain,
    ! [SV133: $i,SV368: $i,SV656: $i,SV652: $i,SV610: $i,SV528: $i] :
      ( ( ( SV528 = SV610 )
        = $true )
      | ( ( ~ ( ( SV652 != SV610 ) )
          | ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3594]) ).

thf(3636,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3595]) ).

thf(3637,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3596]) ).

thf(3638,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3597]) ).

thf(3639,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3598]) ).

thf(3640,plain,
    ! [SV547: $i,SV417: $i,SV623: $i,SV189: $i] :
      ( ( ( SV189 = SV623 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3599]) ).

thf(3641,plain,
    ! [SV547: $i,SV189: $i,SV623: $i,SV417: $i] :
      ( ( ( SV417 != SV623 )
        = $true )
      | ( ( SV189 != SV417 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3600]) ).

thf(3642,plain,
    ! [SV547: $i,SV417: $i,SV623: $i,SV189: $i] :
      ( ( ( SV189 = SV623 )
        = $true )
      | ( ( ~ ( ( SV417 != SV623 )
              | ( SV189 != SV417 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV417 != SV623 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3602]) ).

thf(3643,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3603]) ).

thf(3644,plain,
    ! [SV665: $i,SV213: $i,SV658: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3604]) ).

thf(3645,plain,
    ! [SV634: $i,SV449: $i,SV564: $i,SV228: $i] :
      ( ( ( SV228 = SV564 )
        = $true )
      | ( ( ( produc171383831le_alt @ SV228 @ SV449 )
          = ( produc171383831le_alt @ SV564 @ SV634 ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV564 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV449 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV634 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3605]) ).

thf(3646,plain,
    ! [SV564: $i,SV228: $i,SV634: $i,SV449: $i] :
      ( ( ( SV449 = SV634 )
        = $true )
      | ( ( ( produc171383831le_alt @ SV228 @ SV449 )
          = ( produc171383831le_alt @ SV564 @ SV634 ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV564 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV449 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV634 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3606]) ).

thf(3647,plain,
    ! [SV634: $i,SV449: $i,SV564: $i,SV228: $i] :
      ( ( ( SV228 = SV564 )
        = $false )
      | ( ( SV449 != SV634 )
        = $true )
      | ( ( ( produc171383831le_alt @ SV228 @ SV449 )
          = ( produc171383831le_alt @ SV564 @ SV634 ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV564 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV449 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV634 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3607]) ).

thf(3648,plain,
    ! [SV568: $i,SV653: $i,SV637: $i,SV236: $i,SV456: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3608]) ).

thf(3649,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3609]) ).

thf(3650,plain,
    ! [SV240: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3610]) ).

thf(3651,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3612]) ).

thf(3652,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3613]) ).

thf(3653,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3614]) ).

thf(3654,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3616]) ).

thf(3655,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3617]) ).

thf(3656,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3620]) ).

thf(3657,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3621]) ).

thf(3658,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
         != n )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3622]) ).

thf(3659,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3625]) ).

thf(3660,plain,
    ! [SV252: $i,SV471: $i,SV674: $i,SV673: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV673 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV674 )
        = $false )
      | ( ( SV471 = SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3626]) ).

thf(3661,plain,
    ! [SV471: $i,SV252: $i,SV674: $i,SV673: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV252 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV673 @ SV674 ) ) @ SV471 ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV673 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV674 )
        = $false )
      | ( ( SV471 = SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV252 )
        = $false )
      | ( ( is_fun282293932t_bool @ SV471 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3627]) ).

thf(3662,plain,
    ! [SV587: $i,SV501: $i,SV654: $i,SV649: $i,SV78: $i,SV319: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3628]) ).

thf(3663,plain,
    ! [SV505: $i,SV327: $i,SV591: $i,SV87: $i] :
      ( ( ( SV87 = SV591 )
        = $false )
      | ( ( SV87 != SV327 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3630]) ).

thf(3664,plain,
    ! [SV505: $i,SV327: $i,SV591: $i,SV87: $i] :
      ( ( ( ( SV87 != SV591 )
          | ( SV87 != SV327 ) )
        = $false )
      | ( ( SV327 = SV591 )
        = $true )
      | ( ( ~ ( ~ ( ( SV87 != SV591 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3631]) ).

thf(3665,plain,
    ! [SV650: $i,SV602: $i,SV519: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
          | ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                    | ~ ( ( SV113 != SV650 )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
              | ~ ( ~ ( ( SV113 != SV650 ) )
                  | ~ ( ~ ( ( SV352 != SV650 )
                          | ( SV113 = SV602 )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                      | ~ ( ~ ( ( SV352 != SV650 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3632]) ).

thf(3666,plain,
    ! [SV519: $i,SV602: $i,SV650: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                      | ~ ( ( SV113 != SV650 )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                | ~ ( ~ ( ( SV113 != SV650 ) )
                    | ~ ( ~ ( ( SV352 != SV650 )
                            | ( SV113 = SV602 )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                        | ~ ( ~ ( ( SV352 != SV650 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3633]) ).

thf(3667,plain,
    ! [SV127: $i,SV363: $i,SV525: $i,SV655: $i,SV608: $i,SV651: $i] :
      ( ( ( ~ ( ( SV651 != SV608 ) ) )
        = $true )
      | ( ( ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3634]) ).

thf(3668,plain,
    ! [SV133: $i,SV368: $i,SV528: $i,SV656: $i,SV610: $i,SV652: $i] :
      ( ( ( ~ ( ( SV652 != SV610 ) ) )
        = $true )
      | ( ( ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3635]) ).

thf(3669,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3636]) ).

thf(3670,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3637]) ).

thf(3671,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3638]) ).

thf(3672,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3639]) ).

thf(3673,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3639]) ).

thf(3674,plain,
    ! [SV547: $i,SV189: $i,SV623: $i,SV417: $i] :
      ( ( ( SV417 = SV623 )
        = $false )
      | ( ( SV189 != SV417 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3641]) ).

thf(3675,plain,
    ! [SV547: $i,SV189: $i,SV623: $i,SV417: $i] :
      ( ( ( ( SV417 != SV623 )
          | ( SV189 != SV417 ) )
        = $false )
      | ( ( SV189 = SV623 )
        = $true )
      | ( ( ~ ( ~ ( ( SV417 != SV623 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3642]) ).

thf(3676,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3643]) ).

thf(3677,plain,
    ! [SV658: $i,SV665: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3643]) ).

thf(3678,plain,
    ! [SV665: $i,SV213: $i,SV658: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3644]) ).

thf(3679,plain,
    ! [SV564: $i,SV228: $i,SV634: $i,SV449: $i] :
      ( ( ( SV449 = SV634 )
        = $false )
      | ( ( SV228 = SV564 )
        = $false )
      | ( ( ( produc171383831le_alt @ SV228 @ SV449 )
          = ( produc171383831le_alt @ SV564 @ SV634 ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV564 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV228 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV449 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV634 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3647]) ).

thf(3680,plain,
    ! [SV568: $i,SV456: $i,SV653: $i,SV637: $i,SV236: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) ) )
        = $true )
      | ( ( ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3648]) ).

thf(3681,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lab ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3649]) ).

thf(3682,plain,
    ! [SV240: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3650]) ).

thf(3683,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ c ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3653]) ).

thf(3684,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $false )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3655]) ).

thf(3685,plain,
    ! [SV240: $i] :
      ( ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ e @ d ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ ( hAPP_A1374816149t_bool @ p @ SV240 ) ) @ e ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3658]) ).

thf(3686,plain,
    ! [SV587: $i,SV501: $i,SV654: $i,SV649: $i,SV78: $i,SV319: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3662]) ).

thf(3687,plain,
    ! [SV505: $i,SV591: $i,SV327: $i,SV87: $i] :
      ( ( ( SV87 = SV327 )
        = $false )
      | ( ( SV87 = SV591 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3663]) ).

thf(3688,plain,
    ! [SV505: $i,SV327: $i,SV591: $i,SV87: $i] :
      ( ( ( SV87 != SV591 )
        = $false )
      | ( ( SV327 = SV591 )
        = $true )
      | ( ( ~ ( ~ ( ( SV87 != SV591 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3664]) ).

thf(3689,plain,
    ! [SV505: $i,SV591: $i,SV327: $i,SV87: $i] :
      ( ( ( SV87 != SV327 )
        = $false )
      | ( ( SV327 = SV591 )
        = $true )
      | ( ( ~ ( ~ ( ( SV87 != SV591 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3664]) ).

thf(3690,plain,
    ! [SV650: $i,SV602: $i,SV519: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                    | ~ ( ( SV113 != SV650 )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
              | ~ ( ~ ( ( SV113 != SV650 ) )
                  | ~ ( ~ ( ( SV352 != SV650 )
                          | ( SV113 = SV602 )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                      | ~ ( ~ ( ( SV352 != SV650 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3665]) ).

thf(3691,plain,
    ! [SV519: $i,SV602: $i,SV650: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                      | ~ ( ( SV113 != SV650 )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
                | ~ ( ~ ( ( SV113 != SV650 ) )
                    | ~ ( ~ ( ( SV352 != SV650 )
                            | ( SV113 = SV602 )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                        | ~ ( ~ ( ( SV352 != SV650 ) )
                            | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3666]) ).

thf(3692,plain,
    ! [SV127: $i,SV363: $i,SV525: $i,SV655: $i,SV608: $i,SV651: $i] :
      ( ( ( SV651 != SV608 )
        = $false )
      | ( ( ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3667]) ).

thf(3693,plain,
    ! [SV133: $i,SV368: $i,SV528: $i,SV656: $i,SV610: $i,SV652: $i] :
      ( ( ( SV652 != SV610 )
        = $false )
      | ( ( ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3668]) ).

thf(3694,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3671]) ).

thf(3695,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3671]) ).

thf(3696,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3672]) ).

thf(3697,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3673]) ).

thf(3698,plain,
    ! [SV547: $i,SV623: $i,SV417: $i,SV189: $i] :
      ( ( ( SV189 = SV417 )
        = $false )
      | ( ( SV417 = SV623 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3674]) ).

thf(3699,plain,
    ! [SV547: $i,SV189: $i,SV623: $i,SV417: $i] :
      ( ( ( SV417 != SV623 )
        = $false )
      | ( ( SV189 = SV623 )
        = $true )
      | ( ( ~ ( ~ ( ( SV417 != SV623 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3675]) ).

thf(3700,plain,
    ! [SV547: $i,SV623: $i,SV417: $i,SV189: $i] :
      ( ( ( SV189 != SV417 )
        = $false )
      | ( ( SV189 = SV623 )
        = $true )
      | ( ( ~ ( ~ ( ( SV417 != SV623 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3675]) ).

thf(3701,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3676]) ).

thf(3702,plain,
    ! [SV658: $i,SV665: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3677]) ).

thf(3703,plain,
    ! [SV665: $i,SV213: $i,SV658: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3678]) ).

thf(3704,plain,
    ! [SV658: $i,SV213: $i,SV665: $i,SV672: $i,SV668: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3678]) ).

thf(3705,plain,
    ! [SV568: $i,SV456: $i,SV653: $i,SV637: $i,SV236: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3680]) ).

thf(3706,plain,
    ! [SV240: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ b @ a ) ) @ lba ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ ( hAPP_n1699378549t_bool @ ord_less_nat @ ( hAPP_A588601142di_nat @ h @ SV240 ) ) @ n ) )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $true )
      | ( ( ( hAPP_A588601142di_nat @ h @ SV240 )
          = n )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3682]) ).

thf(3707,plain,
    ! [SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i,SV78: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) ) )
        = $true )
      | ( ( ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3686]) ).

thf(3708,plain,
    ! [SV505: $i,SV327: $i,SV591: $i,SV87: $i] :
      ( ( ( SV87 = SV591 )
        = $true )
      | ( ( SV327 = SV591 )
        = $true )
      | ( ( ~ ( ~ ( ( SV87 != SV591 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3688]) ).

thf(3709,plain,
    ! [SV505: $i,SV591: $i,SV327: $i,SV87: $i] :
      ( ( ( SV87 = SV327 )
        = $true )
      | ( ( SV327 = SV591 )
        = $true )
      | ( ( ~ ( ~ ( ( SV87 != SV591 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3689]) ).

thf(3710,plain,
    ! [SV650: $i,SV602: $i,SV519: $i,SV352: $i,SV113: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                    | ~ ( ( SV113 != SV650 )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
              | ~ ( ~ ( ( SV113 != SV650 ) )
                  | ~ ( ~ ( ( SV352 != SV650 )
                          | ( SV113 = SV602 )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                      | ~ ( ~ ( ( SV352 != SV650 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3690]) ).

thf(3711,plain,
    ! [SV519: $i,SV602: $i,SV650: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                    | ~ ( ( SV113 != SV650 )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
              | ~ ( ~ ( ( SV113 != SV650 ) )
                  | ~ ( ~ ( ( SV352 != SV650 )
                          | ( SV113 = SV602 )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                      | ~ ( ~ ( ( SV352 != SV650 ) )
                          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3691]) ).

thf(3712,plain,
    ! [SV127: $i,SV363: $i,SV525: $i,SV655: $i,SV608: $i,SV651: $i] :
      ( ( ( SV651 = SV608 )
        = $true )
      | ( ( ~ ( ( SV655 != SV525 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3692]) ).

thf(3713,plain,
    ! [SV133: $i,SV368: $i,SV528: $i,SV656: $i,SV610: $i,SV652: $i] :
      ( ( ( SV652 = SV610 )
        = $true )
      | ( ( ~ ( ( SV656 != SV528 ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3693]) ).

thf(3714,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3694]) ).

thf(3715,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3695]) ).

thf(3716,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3696]) ).

thf(3717,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3697]) ).

thf(3718,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3697]) ).

thf(3719,plain,
    ! [SV547: $i,SV189: $i,SV623: $i,SV417: $i] :
      ( ( ( SV417 = SV623 )
        = $true )
      | ( ( SV189 = SV623 )
        = $true )
      | ( ( ~ ( ~ ( ( SV417 != SV623 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3699]) ).

thf(3720,plain,
    ! [SV547: $i,SV623: $i,SV417: $i,SV189: $i] :
      ( ( ( SV189 = SV417 )
        = $true )
      | ( ( SV189 = SV623 )
        = $true )
      | ( ( ~ ( ~ ( ( SV417 != SV623 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3700]) ).

thf(3721,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3701]) ).

thf(3722,plain,
    ! [SV658: $i,SV665: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3702]) ).

thf(3723,plain,
    ! [SV665: $i,SV213: $i,SV658: $i,SV672: $i,SV668: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3703]) ).

thf(3724,plain,
    ! [SV658: $i,SV213: $i,SV665: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3704]) ).

thf(3725,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ! [SY1404: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1404 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3705]) ).

thf(3726,plain,
    ! [SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i,SV78: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3707]) ).

thf(3727,plain,
    ! [SV505: $i,SV327: $i,SV591: $i,SV87: $i] :
      ( ( ( ~ ( ( SV87 != SV591 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) )
        = $false )
      | ( ( SV327 = SV591 )
        = $true )
      | ( ( SV87 = SV591 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3708]) ).

thf(3728,plain,
    ! [SV505: $i,SV327: $i,SV591: $i,SV87: $i] :
      ( ( ( ~ ( ( SV87 != SV591 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) ) )
        = $false )
      | ( ( SV327 = SV591 )
        = $true )
      | ( ( SV87 = SV327 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3709]) ).

thf(3729,plain,
    ! [SV519: $i,SV602: $i,SV650: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                | ~ ( ( SV113 != SV650 )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
          | ~ ( ~ ( ( SV113 != SV650 ) )
              | ~ ( ~ ( ( SV352 != SV650 )
                      | ( SV113 = SV602 )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                  | ~ ( ~ ( ( SV352 != SV650 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3710]) ).

thf(3730,plain,
    ! [SV519: $i,SV602: $i,SV650: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                | ~ ( ( SV113 != SV650 )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
          | ~ ( ~ ( ( SV113 != SV650 ) )
              | ~ ( ~ ( ( SV352 != SV650 )
                      | ( SV113 = SV602 )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                  | ~ ( ~ ( ( SV352 != SV650 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3711]) ).

thf(3731,plain,
    ! [SV608: $i,SV651: $i,SV127: $i,SV363: $i,SV525: $i,SV655: $i] :
      ( ( ( ~ ( ( SV655 != SV525 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3712]) ).

thf(3732,plain,
    ! [SV610: $i,SV652: $i,SV133: $i,SV368: $i,SV528: $i,SV656: $i] :
      ( ( ( ~ ( ( SV656 != SV528 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3713]) ).

thf(3733,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3714]) ).

thf(3734,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3715]) ).

thf(3735,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3715]) ).

thf(3736,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3716]) ).

thf(3737,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3716]) ).

thf(3738,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3717]) ).

thf(3739,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3718]) ).

thf(3740,plain,
    ! [SV547: $i,SV189: $i,SV623: $i,SV417: $i] :
      ( ( ( ~ ( ( SV417 != SV623 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) )
        = $false )
      | ( ( SV189 = SV623 )
        = $true )
      | ( ( SV417 = SV623 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3719]) ).

thf(3741,plain,
    ! [SV547: $i,SV189: $i,SV623: $i,SV417: $i] :
      ( ( ( ~ ( ( SV417 != SV623 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) ) )
        = $false )
      | ( ( SV189 = SV623 )
        = $true )
      | ( ( SV189 = SV417 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3720]) ).

thf(3742,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3721]) ).

thf(3743,plain,
    ! [SV658: $i,SV665: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3722]) ).

thf(3744,plain,
    ! [SV658: $i,SV213: $i,SV665: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3723]) ).

thf(3745,plain,
    ! [SV658: $i,SV213: $i,SV665: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3724]) ).

thf(3746,plain,
    ! [SV665: $i,SV213: $i,SV658: $i,SV672: $i,SV668: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3724]) ).

thf(3747,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ! [SY1404: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1404 )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ SY1404 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ SY1404 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3725]) ).

thf(3748,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ! [SY1405: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1405 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3726]) ).

thf(3749,plain,
    ! [SV505: $i,SV327: $i,SV591: $i,SV87: $i] :
      ( ( ( ~ ( ( SV87 != SV591 ) ) )
        = $false )
      | ( ( SV327 = SV591 )
        = $true )
      | ( ( SV87 = SV591 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3727]) ).

thf(3750,plain,
    ! [SV591: $i,SV505: $i,SV327: $i,SV87: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) )
        = $false )
      | ( ( SV327 = SV591 )
        = $true )
      | ( ( SV87 = SV591 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3727]) ).

thf(3751,plain,
    ! [SV505: $i,SV327: $i,SV591: $i,SV87: $i] :
      ( ( ( ~ ( ( SV87 != SV591 ) ) )
        = $false )
      | ( ( SV327 = SV591 )
        = $true )
      | ( ( SV87 = SV327 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3728]) ).

thf(3752,plain,
    ! [SV591: $i,SV505: $i,SV327: $i,SV87: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ SV505 ) )
        = $false )
      | ( ( SV327 = SV591 )
        = $true )
      | ( ( SV87 = SV327 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3728]) ).

thf(3753,plain,
    ! [SV519: $i,SV602: $i,SV650: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                | ~ ( ( SV113 != SV650 )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3729]) ).

thf(3754,plain,
    ! [SV519: $i,SV602: $i,SV352: $i,SV650: $i,SV113: $i] :
      ( ( ( ~ ( ~ ( ( SV113 != SV650 ) )
              | ~ ( ~ ( ( SV352 != SV650 )
                      | ( SV113 = SV602 )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                  | ~ ( ~ ( ( SV352 != SV650 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3729]) ).

thf(3755,plain,
    ! [SV519: $i,SV602: $i,SV650: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV113 != SV352 ) )
                | ~ ( ( SV113 != SV650 )
                    | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV113 != SV650 ) )
              | ~ ( ~ ( ( SV352 != SV650 )
                      | ( SV113 = SV602 )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                  | ~ ( ~ ( ( SV352 != SV650 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3730]) ).

thf(3756,plain,
    ! [SV608: $i,SV651: $i,SV127: $i,SV363: $i,SV525: $i,SV655: $i] :
      ( ( ( SV655 != SV525 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3731]) ).

thf(3757,plain,
    ! [SV610: $i,SV652: $i,SV133: $i,SV368: $i,SV528: $i,SV656: $i] :
      ( ( ( SV656 != SV528 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3732]) ).

thf(3758,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3733]) ).

thf(3759,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3733]) ).

thf(3760,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3734]) ).

thf(3761,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3735]) ).

thf(3762,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3736]) ).

thf(3763,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3737]) ).

thf(3764,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3738]) ).

thf(3765,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3739]) ).

thf(3766,plain,
    ! [SV547: $i,SV189: $i,SV623: $i,SV417: $i] :
      ( ( ( ~ ( ( SV417 != SV623 ) ) )
        = $false )
      | ( ( SV189 = SV623 )
        = $true )
      | ( ( SV417 = SV623 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3740]) ).

thf(3767,plain,
    ! [SV623: $i,SV547: $i,SV417: $i,SV189: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) )
        = $false )
      | ( ( SV189 = SV623 )
        = $true )
      | ( ( SV417 = SV623 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3740]) ).

thf(3768,plain,
    ! [SV547: $i,SV189: $i,SV623: $i,SV417: $i] :
      ( ( ( ~ ( ( SV417 != SV623 ) ) )
        = $false )
      | ( ( SV189 = SV623 )
        = $true )
      | ( ( SV189 = SV417 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3741]) ).

thf(3769,plain,
    ! [SV623: $i,SV547: $i,SV417: $i,SV189: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ SV547 ) )
        = $false )
      | ( ( SV189 = SV623 )
        = $true )
      | ( ( SV189 = SV417 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3741]) ).

thf(3770,plain,
    ! [SV658: $i,SV213: $i,SV665: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3744]) ).

thf(3771,plain,
    ! [SV665: $i,SV213: $i,SV658: $i,SV672: $i,SV668: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3744]) ).

thf(3772,plain,
    ! [SV658: $i,SV213: $i,SV665: $i,SV672: $i,SV668: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3745]) ).

thf(3773,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3746]) ).

thf(3774,plain,
    ! [SV637: $i,SV653: $i,SV456: $i,SV568: $i,SV236: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3747]) ).

thf(3775,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ! [SY1405: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1405 )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ SY1405 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ SY1405 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3748]) ).

thf(3776,plain,
    ! [SV505: $i,SV327: $i,SV591: $i,SV87: $i] :
      ( ( ( SV87 != SV591 )
        = $true )
      | ( ( SV327 = SV591 )
        = $true )
      | ( ( SV87 = SV591 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3749]) ).

thf(3777,plain,
    ! [SV505: $i,SV327: $i,SV591: $i,SV87: $i] :
      ( ( ( SV87 != SV591 )
        = $true )
      | ( ( SV327 = SV591 )
        = $true )
      | ( ( SV87 = SV327 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3751]) ).

thf(3778,plain,
    ! [SV519: $i,SV602: $i,SV650: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ( ~ ( ( SV113 != SV352 ) )
              | ~ ( ( SV113 != SV650 )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3753]) ).

thf(3779,plain,
    ! [SV519: $i,SV602: $i,SV352: $i,SV650: $i,SV113: $i] :
      ( ( ( ~ ( ( SV113 != SV650 ) )
          | ~ ( ~ ( ( SV352 != SV650 )
                  | ( SV113 = SV602 )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
              | ~ ( ~ ( ( SV352 != SV650 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3754]) ).

thf(3780,plain,
    ! [SV519: $i,SV602: $i,SV650: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ( ~ ( ( SV113 != SV352 ) )
              | ~ ( ( SV113 != SV650 )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ( SV113 != SV650 ) )
              | ~ ( ~ ( ( SV352 != SV650 )
                      | ( SV113 = SV602 )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                  | ~ ( ~ ( ( SV352 != SV650 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3755]) ).

thf(3781,plain,
    ! [SV608: $i,SV651: $i,SV127: $i,SV363: $i,SV525: $i,SV655: $i] :
      ( ( ( SV655 = SV525 )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3756]) ).

thf(3782,plain,
    ! [SV610: $i,SV652: $i,SV133: $i,SV368: $i,SV528: $i,SV656: $i] :
      ( ( ( SV656 = SV528 )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
          | ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3757]) ).

thf(3783,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3758]) ).

thf(3784,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3759]) ).

thf(3785,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3760]) ).

thf(3786,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3761]) ).

thf(3787,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3762]) ).

thf(3788,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3763]) ).

thf(3789,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3764]) ).

thf(3790,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3765]) ).

thf(3791,plain,
    ! [SV547: $i,SV189: $i,SV623: $i,SV417: $i] :
      ( ( ( SV417 != SV623 )
        = $true )
      | ( ( SV189 = SV623 )
        = $true )
      | ( ( SV417 = SV623 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3766]) ).

thf(3792,plain,
    ! [SV547: $i,SV189: $i,SV623: $i,SV417: $i] :
      ( ( ( SV417 != SV623 )
        = $true )
      | ( ( SV189 = SV623 )
        = $true )
      | ( ( SV189 = SV417 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3768]) ).

thf(3793,plain,
    ! [SV658: $i,SV213: $i,SV665: $i,SV672: $i,SV668: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3770]) ).

thf(3794,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3771]) ).

thf(3795,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3772]) ).

thf(3796,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3773]) ).

thf(3797,plain,
    ! [SV658: $i,SV665: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3773]) ).

thf(3798,plain,
    ! [SV637: $i,SV653: $i,SV456: $i,SV568: $i,SV236: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3774]) ).

thf(3799,plain,
    ! [SV568: $i,SV236: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3774]) ).

thf(3800,plain,
    ! [SV649: $i,SV654: $i,SV319: $i,SV501: $i,SV587: $i,SV78: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3775]) ).

thf(3801,plain,
    ! [SV505: $i,SV327: $i,SV591: $i,SV87: $i] :
      ( ( ( SV87 = SV591 )
        = $false )
      | ( ( SV327 = SV591 )
        = $true )
      | ( ( SV87 = SV591 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3776]) ).

thf(3802,plain,
    ! [SV505: $i,SV327: $i,SV591: $i,SV87: $i] :
      ( ( ( SV87 = SV591 )
        = $false )
      | ( ( SV327 = SV591 )
        = $true )
      | ( ( SV87 = SV327 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV87 @ SV327 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_2077223396_mkbot @ SV505 ) @ SV591 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV327 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV87 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV591 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3777]) ).

thf(3803,plain,
    ! [SV519: $i,SV602: $i,SV650: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ( ( SV113 != SV352 ) )
          | ~ ( ( SV113 != SV650 )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3778]) ).

thf(3804,plain,
    ! [SV519: $i,SV602: $i,SV352: $i,SV650: $i,SV113: $i] :
      ( ( ( ~ ( ( SV113 != SV650 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV352 != SV650 )
                  | ( SV113 = SV602 )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
              | ~ ( ~ ( ( SV352 != SV650 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3779]) ).

thf(3805,plain,
    ! [SV519: $i,SV602: $i,SV650: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ( ( SV113 != SV352 ) )
          | ~ ( ( SV113 != SV650 )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV113 != SV650 ) )
              | ~ ( ~ ( ( SV352 != SV650 )
                      | ( SV113 = SV602 )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                  | ~ ( ~ ( ( SV352 != SV650 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3780]) ).

thf(3806,plain,
    ! [SV608: $i,SV525: $i,SV655: $i,SV651: $i,SV127: $i,SV363: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3781]) ).

thf(3807,plain,
    ! [SV610: $i,SV528: $i,SV656: $i,SV652: $i,SV133: $i,SV368: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3782]) ).

thf(3808,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3783]) ).

thf(3809,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3784]) ).

thf(3810,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3785]) ).

thf(3811,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3786]) ).

thf(3812,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3787]) ).

thf(3813,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3788]) ).

thf(3814,plain,
    ! [SV547: $i,SV189: $i,SV623: $i,SV417: $i] :
      ( ( ( SV417 = SV623 )
        = $false )
      | ( ( SV189 = SV623 )
        = $true )
      | ( ( SV417 = SV623 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3791]) ).

thf(3815,plain,
    ! [SV547: $i,SV189: $i,SV623: $i,SV417: $i] :
      ( ( ( SV417 = SV623 )
        = $false )
      | ( ( SV189 = SV623 )
        = $true )
      | ( ( SV189 = SV417 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV189 @ SV417 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_f1290184496t_bool @ arrow_78446834_mktop @ SV547 ) @ SV623 ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV417 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV189 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV623 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3792]) ).

thf(3816,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3793]) ).

thf(3817,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3794]) ).

thf(3818,plain,
    ! [SV658: $i,SV665: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3794]) ).

thf(3819,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3795]) ).

thf(3820,plain,
    ! [SV658: $i,SV665: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3795]) ).

thf(3821,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3796]) ).

thf(3822,plain,
    ! [SV658: $i,SV665: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3797]) ).

thf(3823,plain,
    ! [SV637: $i,SV653: $i,SV456: $i,SV568: $i,SV236: $i] :
      ( ( ( is_Arr625519182e_indi @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3798]) ).

thf(3824,plain,
    ! [SV568: $i,SV236: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3799]) ).

thf(3825,plain,
    ! [SV649: $i,SV654: $i,SV319: $i,SV501: $i,SV587: $i,SV78: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3800]) ).

thf(3826,plain,
    ! [SV501: $i,SV587: $i,SV78: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3800]) ).

thf(3827,plain,
    ! [SV650: $i,SV602: $i,SV519: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ( ( SV113 != SV352 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3803]) ).

thf(3828,plain,
    ! [SV519: $i,SV352: $i,SV602: $i,SV650: $i,SV113: $i] :
      ( ( ( ~ ( ( SV113 != SV650 )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3803]) ).

thf(3829,plain,
    ! [SV519: $i,SV602: $i,SV352: $i,SV650: $i,SV113: $i] :
      ( ( ( SV113 != SV650 )
        = $false )
      | ( ( ~ ( ~ ( ( SV352 != SV650 )
                  | ( SV113 = SV602 )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
              | ~ ( ~ ( ( SV352 != SV650 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3804]) ).

thf(3830,plain,
    ! [SV519: $i,SV602: $i,SV650: $i,SV352: $i,SV113: $i] :
      ( ( ( ~ ( ( SV113 != SV352 ) ) )
        = $true )
      | ( ( ~ ( ( SV113 != SV650 )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV113 != SV650 ) )
              | ~ ( ~ ( ( SV352 != SV650 )
                      | ( SV113 = SV602 )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                  | ~ ( ~ ( ( SV352 != SV650 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3805]) ).

thf(3831,plain,
    ! [SV608: $i,SV525: $i,SV655: $i,SV651: $i,SV127: $i,SV363: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3806]) ).

thf(3832,plain,
    ! [SV610: $i,SV528: $i,SV656: $i,SV652: $i,SV133: $i,SV368: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
          | ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3807]) ).

thf(3833,plain,
    ! [SV173: $i,SV404: $i,SV620: $i,SV543: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3808]) ).

thf(3834,plain,
    ! [SV404: $i,SV173: $i,SV543: $i,SV620: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_f695124765t_bool @ f @ SV173 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_f695124765t_bool @ f @ SV404 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV543 @ SV620 ) ) @ ( hAPP_A1374816149t_bool @ SV404 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV620 @ SV543 ) ) @ ( hAPP_A1374816149t_bool @ SV173 @ ( sK24_SY1394 @ SV173 @ SV404 @ SV620 @ SV543 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV173 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV404 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV543 = SV620 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV543 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV620 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3809]) ).

thf(3835,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3816]) ).

thf(3836,plain,
    ! [SV658: $i,SV665: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3816]) ).

thf(3837,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3817]) ).

thf(3838,plain,
    ! [SV658: $i,SV665: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3818]) ).

thf(3839,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3819]) ).

thf(3840,plain,
    ! [SV658: $i,SV665: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3820]) ).

thf(3841,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3821]) ).

thf(3842,plain,
    ! [SV658: $i,SV665: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3822]) ).

thf(3843,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3823]) ).

thf(3844,plain,
    ! [SV568: $i,SV236: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3824]) ).

thf(3845,plain,
    ! [SV649: $i,SV654: $i,SV319: $i,SV501: $i,SV587: $i,SV78: $i] :
      ( ( ( is_Arr625519182e_indi @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3825]) ).

thf(3846,plain,
    ! [SV501: $i,SV587: $i,SV78: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3826]) ).

thf(3847,plain,
    ! [SV650: $i,SV602: $i,SV519: $i,SV352: $i,SV113: $i] :
      ( ( ( SV113 != SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3827]) ).

thf(3848,plain,
    ! [SV519: $i,SV352: $i,SV602: $i,SV650: $i,SV113: $i] :
      ( ( ( ( SV113 != SV650 )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3828]) ).

thf(3849,plain,
    ! [SV519: $i,SV602: $i,SV352: $i,SV650: $i,SV113: $i] :
      ( ( ( SV113 = SV650 )
        = $true )
      | ( ( ~ ( ~ ( ( SV352 != SV650 )
                  | ( SV113 = SV602 )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
              | ~ ( ~ ( ( SV352 != SV650 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3829]) ).

thf(3850,plain,
    ! [SV519: $i,SV602: $i,SV650: $i,SV352: $i,SV113: $i] :
      ( ( ( SV113 != SV352 )
        = $false )
      | ( ( ~ ( ( SV113 != SV650 )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV113 != SV650 ) )
              | ~ ( ~ ( ( SV352 != SV650 )
                      | ( SV113 = SV602 )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                  | ~ ( ~ ( ( SV352 != SV650 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3830]) ).

thf(3851,plain,
    ! [SV608: $i,SV525: $i,SV363: $i,SV655: $i,SV651: $i,SV127: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) ) )
        = $true )
      | ( ( ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3831]) ).

thf(3852,plain,
    ! [SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i,SV133: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) ) )
        = $true )
      | ( ( ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3832]) ).

thf(3853,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3835]) ).

thf(3854,plain,
    ! [SV658: $i,SV665: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3836]) ).

thf(3855,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3837]) ).

thf(3856,plain,
    ! [SV658: $i,SV665: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3838]) ).

thf(3857,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3839]) ).

thf(3858,plain,
    ! [SV658: $i,SV665: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3840]) ).

thf(3859,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3841]) ).

thf(3860,plain,
    ! [SV658: $i,SV665: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3842]) ).

thf(3861,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3843]) ).

thf(3862,plain,
    ! [SV456: $i,SV637: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3843]) ).

thf(3863,plain,
    ! [SV568: $i,SV236: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3844]) ).

thf(3864,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3845]) ).

thf(3865,plain,
    ! [SV501: $i,SV587: $i,SV78: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3846]) ).

thf(3866,plain,
    ! [SV650: $i,SV602: $i,SV519: $i,SV352: $i,SV113: $i] :
      ( ( ( SV113 = SV352 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3847]) ).

thf(3867,plain,
    ! [SV519: $i,SV352: $i,SV602: $i,SV650: $i,SV113: $i] :
      ( ( ( SV113 != SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3848]) ).

thf(3868,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ( SV352 != SV650 )
              | ( SV113 = SV602 )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
          | ~ ( ~ ( ( SV352 != SV650 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) )
        = $false )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3849]) ).

thf(3869,plain,
    ! [SV519: $i,SV602: $i,SV650: $i,SV352: $i,SV113: $i] :
      ( ( ( SV113 = SV352 )
        = $true )
      | ( ( ~ ( ( SV113 != SV650 )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV113 != SV650 ) )
              | ~ ( ~ ( ( SV352 != SV650 )
                      | ( SV113 = SV602 )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                  | ~ ( ~ ( ( SV352 != SV650 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3850]) ).

thf(3870,plain,
    ! [SV608: $i,SV525: $i,SV363: $i,SV655: $i,SV651: $i,SV127: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) )
          | ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3851]) ).

thf(3871,plain,
    ! [SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i,SV133: $i] :
      ( ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3852]) ).

thf(3872,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3853]) ).

thf(3873,plain,
    ! [SV658: $i,SV665: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3854]) ).

thf(3874,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3855]) ).

thf(3875,plain,
    ! [SV658: $i,SV665: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3856]) ).

thf(3876,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3857]) ).

thf(3877,plain,
    ! [SV658: $i,SV665: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3858]) ).

thf(3878,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3861]) ).

thf(3879,plain,
    ! [SV456: $i,SV637: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3862]) ).

thf(3880,plain,
    ! [SV568: $i,SV236: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3863]) ).

thf(3881,plain,
    ! [SV637: $i,SV456: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3863]) ).

thf(3882,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3864]) ).

thf(3883,plain,
    ! [SV319: $i,SV654: $i,SV649: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3864]) ).

thf(3884,plain,
    ! [SV501: $i,SV587: $i,SV78: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3865]) ).

thf(3885,plain,
    ! [SV519: $i,SV352: $i,SV602: $i,SV650: $i,SV113: $i] :
      ( ( ( SV113 = SV650 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3867]) ).

thf(3886,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ( SV352 != SV650 )
              | ( SV113 = SV602 )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) ) )
        = $false )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3868]) ).

thf(3887,plain,
    ! [SV602: $i,SV519: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ~ ( ( SV352 != SV650 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) )
        = $false )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3868]) ).

thf(3888,plain,
    ! [SV519: $i,SV352: $i,SV602: $i,SV650: $i,SV113: $i] :
      ( ( ( ( SV113 != SV650 )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) ) )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( ~ ( ~ ( ( SV113 != SV650 ) )
              | ~ ( ~ ( ( SV352 != SV650 )
                      | ( SV113 = SV602 )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                  | ~ ( ~ ( ( SV352 != SV650 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3869]) ).

thf(3889,plain,
    ! [SV127: $i,SV608: $i,SV525: $i,SV363: $i,SV655: $i,SV651: $i] :
      ( ( ( ~ ! [SY1406: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1406 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3870]) ).

thf(3890,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ! [SY1407: $i] :
                ( ~ ( is_Arr625519182e_indi @ SY1407 )
                | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                    | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                        | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3871]) ).

thf(3891,plain,
    ! [SV665: $i,SV658: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3872]) ).

thf(3892,plain,
    ! [SV658: $i,SV665: $i,SV213: $i,SV672: $i,SV668: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV665 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_f695124765t_bool @ SV213 @ SV658 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV658 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV668 @ SV672 ) ) @ ( hAPP_A1374816149t_bool @ SV665 @ ( sK25_SY1446 @ SV213 @ SV665 @ SV658 @ SV672 @ SV668 ) ) ) )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV668 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV672 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV665 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV658 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f785543729l_bool @ arrow_1212118780le_IIA @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3873]) ).

thf(3893,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3878]) ).

thf(3894,plain,
    ! [SV456: $i,SV637: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3879]) ).

thf(3895,plain,
    ! [SV568: $i,SV236: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3880]) ).

thf(3896,plain,
    ! [SV637: $i,SV456: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3881]) ).

thf(3897,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3882]) ).

thf(3898,plain,
    ! [SV319: $i,SV654: $i,SV649: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3883]) ).

thf(3899,plain,
    ! [SV501: $i,SV587: $i,SV78: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3884]) ).

thf(3900,plain,
    ! [SV649: $i,SV654: $i,SV319: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3884]) ).

thf(3901,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ( SV352 != SV650 )
          | ( SV113 = SV602 )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3886]) ).

thf(3902,plain,
    ! [SV602: $i,SV519: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ( SV352 != SV650 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3887]) ).

thf(3903,plain,
    ! [SV519: $i,SV602: $i,SV352: $i,SV650: $i,SV113: $i] :
      ( ( ( SV113 != SV650 )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( ~ ( ~ ( ( SV113 != SV650 ) )
              | ~ ( ~ ( ( SV352 != SV650 )
                      | ( SV113 = SV602 )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                  | ~ ( ~ ( ( SV352 != SV650 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3888]) ).

thf(3904,plain,
    ! [SV650: $i,SV113: $i,SV519: $i,SV352: $i,SV602: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( ~ ( ~ ( ( SV113 != SV650 ) )
              | ~ ( ~ ( ( SV352 != SV650 )
                      | ( SV113 = SV602 )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                  | ~ ( ~ ( ( SV352 != SV650 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3888]) ).

thf(3905,plain,
    ! [SV127: $i,SV608: $i,SV525: $i,SV363: $i,SV655: $i,SV651: $i] :
      ( ( ( ! [SY1406: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1406 )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ SY1406 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ SY1406 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3889]) ).

thf(3906,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ! [SY1407: $i] :
              ( ~ ( is_Arr625519182e_indi @ SY1407 )
              | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) ) )
                  | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ SY1407 ) ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ SY1407 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3890]) ).

thf(3907,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3893]) ).

thf(3908,plain,
    ! [SV456: $i,SV637: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3894]) ).

thf(3909,plain,
    ! [SV637: $i,SV456: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3895]) ).

thf(3910,plain,
    ! [SV637: $i,SV456: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3896]) ).

thf(3911,plain,
    ! [SV568: $i,SV236: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3896]) ).

thf(3912,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3897]) ).

thf(3913,plain,
    ! [SV319: $i,SV654: $i,SV649: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3898]) ).

thf(3914,plain,
    ! [SV501: $i,SV587: $i,SV78: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3899]) ).

thf(3915,plain,
    ! [SV649: $i,SV654: $i,SV319: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3900]) ).

thf(3916,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( SV352 != SV650 )
        = $true )
      | ( ( ( SV113 = SV602 )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3901]) ).

thf(3917,plain,
    ! [SV602: $i,SV519: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ( SV352 != SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3902]) ).

thf(3918,plain,
    ! [SV519: $i,SV602: $i,SV352: $i,SV650: $i,SV113: $i] :
      ( ( ( SV113 = SV650 )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( ~ ( ~ ( ( SV113 != SV650 ) )
              | ~ ( ~ ( ( SV352 != SV650 )
                      | ( SV113 = SV602 )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
                  | ~ ( ~ ( ( SV352 != SV650 ) )
                      | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3903]) ).

thf(3919,plain,
    ! [SV519: $i,SV602: $i,SV352: $i,SV650: $i,SV113: $i] :
      ( ( ( ~ ( ( SV113 != SV650 ) )
          | ~ ( ~ ( ( SV352 != SV650 )
                  | ( SV113 = SV602 )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
              | ~ ( ~ ( ( SV352 != SV650 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3904]) ).

thf(3920,plain,
    ! [SV651: $i,SV655: $i,SV363: $i,SV525: $i,SV608: $i,SV127: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3905]) ).

thf(3921,plain,
    ! [SV652: $i,SV656: $i,SV368: $i,SV528: $i,SV610: $i,SV133: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) )
          | ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3906]) ).

thf(3922,plain,
    ! [SV637: $i,SV456: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3909]) ).

thf(3923,plain,
    ! [SV568: $i,SV236: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3909]) ).

thf(3924,plain,
    ! [SV637: $i,SV456: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3910]) ).

thf(3925,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3911]) ).

thf(3926,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3912]) ).

thf(3927,plain,
    ! [SV319: $i,SV654: $i,SV649: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3913]) ).

thf(3928,plain,
    ! [SV649: $i,SV654: $i,SV319: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3914]) ).

thf(3929,plain,
    ! [SV649: $i,SV654: $i,SV319: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3915]) ).

thf(3930,plain,
    ! [SV501: $i,SV587: $i,SV78: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3915]) ).

thf(3931,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( SV352 = SV650 )
        = $false )
      | ( ( ( SV113 = SV602 )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3916]) ).

thf(3932,plain,
    ! [SV602: $i,SV519: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( SV352 != SV650 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3917]) ).

thf(3933,plain,
    ! [SV519: $i,SV602: $i,SV352: $i,SV650: $i,SV113: $i] :
      ( ( ( ~ ( ( SV113 != SV650 ) )
          | ~ ( ~ ( ( SV352 != SV650 )
                  | ( SV113 = SV602 )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
              | ~ ( ~ ( ( SV352 != SV650 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3918]) ).

thf(3934,plain,
    ! [SV519: $i,SV602: $i,SV352: $i,SV650: $i,SV113: $i] :
      ( ( ( ~ ( ( SV113 != SV650 ) ) )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3919]) ).

thf(3935,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ~ ( ( SV352 != SV650 )
                  | ( SV113 = SV602 )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
              | ~ ( ~ ( ( SV352 != SV650 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3919]) ).

thf(3936,plain,
    ! [SV651: $i,SV655: $i,SV363: $i,SV525: $i,SV608: $i,SV127: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3920]) ).

thf(3937,plain,
    ! [SV525: $i,SV608: $i,SV127: $i,SV363: $i,SV655: $i,SV651: $i] :
      ( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3920]) ).

thf(3938,plain,
    ! [SV652: $i,SV656: $i,SV368: $i,SV528: $i,SV610: $i,SV133: $i] :
      ( ( ( ~ ( is_Arr625519182e_indi @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3921]) ).

thf(3939,plain,
    ! [SV528: $i,SV610: $i,SV133: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3921]) ).

thf(3940,plain,
    ! [SV637: $i,SV456: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3922]) ).

thf(3941,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3923]) ).

thf(3942,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3924]) ).

thf(3943,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3925]) ).

thf(3944,plain,
    ! [SV456: $i,SV637: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3925]) ).

thf(3945,plain,
    ! [SV649: $i,SV654: $i,SV319: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3928]) ).

thf(3946,plain,
    ! [SV501: $i,SV587: $i,SV78: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3928]) ).

thf(3947,plain,
    ! [SV649: $i,SV654: $i,SV319: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3929]) ).

thf(3948,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3930]) ).

thf(3949,plain,
    ! [SV650: $i,SV352: $i,SV519: $i,SV602: $i,SV113: $i] :
      ( ( ( SV113 = SV602 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) )
        = $true )
      | ( ( SV352 = SV650 )
        = $false )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3931]) ).

thf(3950,plain,
    ! [SV602: $i,SV519: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( SV352 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3932]) ).

thf(3951,plain,
    ! [SV602: $i,SV519: $i,SV352: $i,SV650: $i,SV113: $i] :
      ( ( ( ~ ( ( SV113 != SV650 ) ) )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3933]) ).

thf(3952,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ~ ( ( SV352 != SV650 )
                  | ( SV113 = SV602 )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
              | ~ ( ~ ( ( SV352 != SV650 ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) ) )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3933]) ).

thf(3953,plain,
    ! [SV519: $i,SV602: $i,SV352: $i,SV650: $i,SV113: $i] :
      ( ( ( SV113 != SV650 )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3934]) ).

thf(3954,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ( SV352 != SV650 )
              | ( SV113 = SV602 )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
          | ~ ( ~ ( ( SV352 != SV650 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3935]) ).

thf(3955,plain,
    ! [SV651: $i,SV655: $i,SV363: $i,SV525: $i,SV608: $i,SV127: $i] :
      ( ( ( is_Arr625519182e_indi @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3936]) ).

thf(3956,plain,
    ! [SV525: $i,SV608: $i,SV127: $i,SV363: $i,SV655: $i,SV651: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3937]) ).

thf(3957,plain,
    ! [SV652: $i,SV656: $i,SV368: $i,SV528: $i,SV610: $i,SV133: $i] :
      ( ( ( is_Arr625519182e_indi @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3938]) ).

thf(3958,plain,
    ! [SV528: $i,SV610: $i,SV133: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3939]) ).

thf(3959,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3940]) ).

thf(3960,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3941]) ).

thf(3961,plain,
    ! [SV456: $i,SV637: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3941]) ).

thf(3962,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3942]) ).

thf(3963,plain,
    ! [SV456: $i,SV637: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3942]) ).

thf(3964,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3943]) ).

thf(3965,plain,
    ! [SV456: $i,SV637: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3944]) ).

thf(3966,plain,
    ! [SV649: $i,SV654: $i,SV319: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3945]) ).

thf(3967,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3946]) ).

thf(3968,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3947]) ).

thf(3969,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3948]) ).

thf(3970,plain,
    ! [SV319: $i,SV654: $i,SV649: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3948]) ).

thf(3971,plain,
    ! [SV602: $i,SV519: $i,SV352: $i,SV650: $i,SV113: $i] :
      ( ( ( SV113 != SV650 )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3951]) ).

thf(3972,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ( SV352 != SV650 )
              | ( SV113 = SV602 )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
          | ~ ( ~ ( ( SV352 != SV650 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3952]) ).

thf(3973,plain,
    ! [SV519: $i,SV602: $i,SV352: $i,SV650: $i,SV113: $i] :
      ( ( ( SV113 = SV650 )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3953]) ).

thf(3974,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ( SV352 != SV650 )
              | ( SV113 = SV602 )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV352 != SV650 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3954]) ).

thf(3975,plain,
    ! [SV127: $i,SV608: $i,SV525: $i,SV363: $i,SV655: $i,SV651: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3955]) ).

thf(3976,plain,
    ! [SV525: $i,SV608: $i,SV127: $i,SV363: $i,SV655: $i,SV651: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3956]) ).

thf(3977,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3957]) ).

thf(3978,plain,
    ! [SV528: $i,SV610: $i,SV133: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3958]) ).

thf(3979,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3959]) ).

thf(3980,plain,
    ! [SV456: $i,SV637: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3959]) ).

thf(3981,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3960]) ).

thf(3982,plain,
    ! [SV456: $i,SV637: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3961]) ).

thf(3983,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3962]) ).

thf(3984,plain,
    ! [SV456: $i,SV637: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3963]) ).

thf(3985,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3964]) ).

thf(3986,plain,
    ! [SV456: $i,SV637: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3965]) ).

thf(3987,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3966]) ).

thf(3988,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3967]) ).

thf(3989,plain,
    ! [SV319: $i,SV654: $i,SV649: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3967]) ).

thf(3990,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3968]) ).

thf(3991,plain,
    ! [SV319: $i,SV654: $i,SV649: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3968]) ).

thf(3992,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3969]) ).

thf(3993,plain,
    ! [SV319: $i,SV654: $i,SV649: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3970]) ).

thf(3994,plain,
    ! [SV602: $i,SV519: $i,SV352: $i,SV650: $i,SV113: $i] :
      ( ( ( SV113 = SV650 )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3971]) ).

thf(3995,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ( SV352 != SV650 )
              | ( SV113 = SV602 )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV352 != SV650 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3972]) ).

thf(3996,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ( SV352 != SV650 )
          | ( SV113 = SV602 )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ( SV352 != SV650 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3974]) ).

thf(3997,plain,
    ! [SV127: $i,SV608: $i,SV525: $i,SV363: $i,SV655: $i,SV651: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3975]) ).

thf(3998,plain,
    ! [SV525: $i,SV608: $i,SV127: $i,SV363: $i,SV655: $i,SV651: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3976]) ).

thf(3999,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3977]) ).

thf(4000,plain,
    ! [SV368: $i,SV656: $i,SV652: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) )
        = $false )
      | ( ( is_Arr625519182e_indi @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3977]) ).

thf(4001,plain,
    ! [SV528: $i,SV610: $i,SV133: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3978]) ).

thf(4002,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3979]) ).

thf(4003,plain,
    ! [SV456: $i,SV637: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3980]) ).

thf(4004,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3981]) ).

thf(4005,plain,
    ! [SV456: $i,SV637: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3982]) ).

thf(4006,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3983]) ).

thf(4007,plain,
    ! [SV456: $i,SV637: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3984]) ).

thf(4008,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3985]) ).

thf(4009,plain,
    ! [SV456: $i,SV637: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3986]) ).

thf(4010,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3987]) ).

thf(4011,plain,
    ! [SV319: $i,SV654: $i,SV649: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3987]) ).

thf(4012,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3988]) ).

thf(4013,plain,
    ! [SV319: $i,SV654: $i,SV649: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3989]) ).

thf(4014,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3990]) ).

thf(4015,plain,
    ! [SV319: $i,SV654: $i,SV649: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3991]) ).

thf(4016,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3992]) ).

thf(4017,plain,
    ! [SV319: $i,SV654: $i,SV649: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3993]) ).

thf(4018,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ( SV352 != SV650 )
          | ( SV113 = SV602 )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ( SV352 != SV650 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3995]) ).

thf(4019,plain,
    ! [SV602: $i,SV519: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( SV352 != SV650 )
        = $false )
      | ( ( ~ ( ~ ( ( SV352 != SV650 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3996]) ).

thf(4020,plain,
    ! [SV650: $i,SV352: $i,SV519: $i,SV602: $i,SV113: $i] :
      ( ( ( ( SV113 = SV602 )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ( SV352 != SV650 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3996]) ).

thf(4021,plain,
    ! [SV525: $i,SV608: $i,SV127: $i,SV363: $i,SV655: $i,SV651: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3998]) ).

thf(4022,plain,
    ! [SV651: $i,SV655: $i,SV363: $i,SV127: $i,SV608: $i,SV525: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3998]) ).

thf(4023,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3999]) ).

thf(4024,plain,
    ! [SV368: $i,SV656: $i,SV652: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4000]) ).

thf(4025,plain,
    ! [SV528: $i,SV610: $i,SV133: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4001]) ).

thf(4026,plain,
    ! [SV652: $i,SV656: $i,SV368: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4001]) ).

thf(4027,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4002]) ).

thf(4028,plain,
    ! [SV456: $i,SV637: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4003]) ).

thf(4029,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4004]) ).

thf(4030,plain,
    ! [SV456: $i,SV637: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4005]) ).

thf(4031,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4006]) ).

thf(4032,plain,
    ! [SV456: $i,SV637: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4007]) ).

thf(4033,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4010]) ).

thf(4034,plain,
    ! [SV319: $i,SV654: $i,SV649: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4011]) ).

thf(4035,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4012]) ).

thf(4036,plain,
    ! [SV319: $i,SV654: $i,SV649: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4013]) ).

thf(4037,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4014]) ).

thf(4038,plain,
    ! [SV319: $i,SV654: $i,SV649: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4015]) ).

thf(4039,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4016]) ).

thf(4040,plain,
    ! [SV319: $i,SV654: $i,SV649: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4017]) ).

thf(4041,plain,
    ! [SV602: $i,SV519: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( SV352 != SV650 )
        = $false )
      | ( ( ~ ( ~ ( ( SV352 != SV650 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4018]) ).

thf(4042,plain,
    ! [SV650: $i,SV352: $i,SV519: $i,SV602: $i,SV113: $i] :
      ( ( ( ( SV113 = SV602 )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ( SV352 != SV650 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4018]) ).

thf(4043,plain,
    ! [SV602: $i,SV519: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( SV352 = SV650 )
        = $true )
      | ( ( ~ ( ~ ( ( SV352 != SV650 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4019]) ).

thf(4044,plain,
    ! [SV519: $i,SV650: $i,SV352: $i,SV602: $i,SV113: $i] :
      ( ( ( SV113 = SV602 )
        = $false )
      | ( ( ~ ( ~ ( ( SV352 != SV650 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4020]) ).

thf(4045,plain,
    ! [SV650: $i,SV352: $i,SV519: $i,SV602: $i,SV113: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) )
        = $false )
      | ( ( ~ ( ~ ( ( SV352 != SV650 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4020]) ).

thf(4046,plain,
    ! [SV525: $i,SV608: $i,SV127: $i,SV363: $i,SV655: $i,SV651: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4021]) ).

thf(4047,plain,
    ! [SV651: $i,SV655: $i,SV363: $i,SV127: $i,SV608: $i,SV525: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4022]) ).

thf(4048,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4023]) ).

thf(4049,plain,
    ! [SV368: $i,SV656: $i,SV652: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4024]) ).

thf(4050,plain,
    ! [SV528: $i,SV610: $i,SV133: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4025]) ).

thf(4051,plain,
    ! [SV652: $i,SV656: $i,SV368: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4026]) ).

thf(4052,plain,
    ! [SV236: $i,SV568: $i,SV456: $i,SV653: $i,SV637: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4027]) ).

thf(4053,plain,
    ! [SV456: $i,SV637: $i,SV236: $i,SV568: $i,SV653: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_f695124765t_bool @ f @ SV236 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_f695124765t_bool @ f @ SV456 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV637 @ SV653 ) ) @ ( hAPP_A1374816149t_bool @ SV456 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV653 @ SV568 ) ) @ ( hAPP_A1374816149t_bool @ SV236 @ ( sK26_SY1404 @ SV236 @ SV568 @ SV456 @ SV653 @ SV637 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV236 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV456 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV637 = SV568 )
        = $true )
      | ( ( SV653 = SV568 )
        = $true )
      | ( ( SV637 = SV653 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV637 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV568 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV653 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4028]) ).

thf(4054,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4033]) ).

thf(4055,plain,
    ! [SV319: $i,SV654: $i,SV649: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4034]) ).

thf(4056,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4035]) ).

thf(4057,plain,
    ! [SV319: $i,SV654: $i,SV649: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4036]) ).

thf(4058,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4037]) ).

thf(4059,plain,
    ! [SV319: $i,SV654: $i,SV649: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4038]) ).

thf(4060,plain,
    ! [SV602: $i,SV519: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( SV352 = SV650 )
        = $true )
      | ( ( ~ ( ~ ( ( SV352 != SV650 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4041]) ).

thf(4061,plain,
    ! [SV519: $i,SV650: $i,SV352: $i,SV602: $i,SV113: $i] :
      ( ( ( SV113 = SV602 )
        = $false )
      | ( ( ~ ( ~ ( ( SV352 != SV650 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4042]) ).

thf(4062,plain,
    ! [SV650: $i,SV352: $i,SV519: $i,SV602: $i,SV113: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) )
        = $false )
      | ( ( ~ ( ~ ( ( SV352 != SV650 ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) ) )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4042]) ).

thf(4063,plain,
    ! [SV602: $i,SV519: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ( SV352 != SV650 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) )
        = $false )
      | ( ( SV352 = SV650 )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4043]) ).

thf(4064,plain,
    ! [SV602: $i,SV519: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ( SV352 != SV650 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) )
        = $false )
      | ( ( SV113 = SV602 )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4044]) ).

thf(4065,plain,
    ! [SV602: $i,SV519: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ( SV352 != SV650 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4045]) ).

thf(4066,plain,
    ! [SV651: $i,SV655: $i,SV363: $i,SV127: $i,SV608: $i,SV525: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4046]) ).

thf(4067,plain,
    ! [SV651: $i,SV655: $i,SV363: $i,SV127: $i,SV608: $i,SV525: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4047]) ).

thf(4068,plain,
    ! [SV525: $i,SV608: $i,SV127: $i,SV363: $i,SV655: $i,SV651: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4047]) ).

thf(4069,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4048]) ).

thf(4070,plain,
    ! [SV368: $i,SV656: $i,SV652: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
        = $true )
      | ( ( is_Arr625519182e_indi @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4049]) ).

thf(4071,plain,
    ! [SV652: $i,SV656: $i,SV368: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4050]) ).

thf(4072,plain,
    ! [SV652: $i,SV656: $i,SV368: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4051]) ).

thf(4073,plain,
    ! [SV528: $i,SV610: $i,SV133: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4051]) ).

thf(4074,plain,
    ! [SV78: $i,SV587: $i,SV501: $i,SV319: $i,SV654: $i,SV649: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4054]) ).

thf(4075,plain,
    ! [SV319: $i,SV654: $i,SV649: $i,SV78: $i,SV587: $i,SV501: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_f695124765t_bool @ f @ SV78 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_f695124765t_bool @ f @ SV319 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV649 @ SV654 ) ) @ ( hAPP_A1374816149t_bool @ SV319 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV501 @ SV587 ) ) @ ( hAPP_A1374816149t_bool @ SV78 @ ( sK27_SY1405 @ SV78 @ SV587 @ SV501 @ SV319 @ SV654 @ SV649 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV78 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV319 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV501 = SV587 )
        = $true )
      | ( ( SV649 = SV654 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV649 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV501 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV587 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV654 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4055]) ).

thf(4076,plain,
    ! [SV602: $i,SV519: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ( SV352 != SV650 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) )
        = $false )
      | ( ( SV352 = SV650 )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4060]) ).

thf(4077,plain,
    ! [SV602: $i,SV519: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ( SV352 != SV650 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) )
        = $false )
      | ( ( SV113 = SV602 )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4061]) ).

thf(4078,plain,
    ! [SV602: $i,SV519: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ( SV352 != SV650 ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4062]) ).

thf(4079,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ( SV352 != SV650 ) ) )
        = $false )
      | ( ( SV352 = SV650 )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4063]) ).

thf(4080,plain,
    ! [SV602: $i,SV650: $i,SV519: $i,SV352: $i,SV113: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( SV352 = SV650 )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4063]) ).

thf(4081,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ( SV352 != SV650 ) ) )
        = $false )
      | ( ( SV113 = SV602 )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4064]) ).

thf(4082,plain,
    ! [SV650: $i,SV602: $i,SV519: $i,SV352: $i,SV113: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( SV113 = SV602 )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4064]) ).

thf(4083,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ( SV352 != SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4065]) ).

thf(4084,plain,
    ! [SV650: $i,SV602: $i,SV519: $i,SV352: $i,SV113: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4065]) ).

thf(4085,plain,
    ! [SV651: $i,SV655: $i,SV363: $i,SV127: $i,SV608: $i,SV525: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4066]) ).

thf(4086,plain,
    ! [SV525: $i,SV608: $i,SV127: $i,SV363: $i,SV655: $i,SV651: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4066]) ).

thf(4087,plain,
    ! [SV651: $i,SV655: $i,SV363: $i,SV127: $i,SV608: $i,SV525: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4067]) ).

thf(4088,plain,
    ! [SV127: $i,SV608: $i,SV525: $i,SV363: $i,SV655: $i,SV651: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4068]) ).

thf(4089,plain,
    ! [SV652: $i,SV656: $i,SV368: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4071]) ).

thf(4090,plain,
    ! [SV528: $i,SV610: $i,SV133: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4071]) ).

thf(4091,plain,
    ! [SV652: $i,SV656: $i,SV368: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4072]) ).

thf(4092,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4073]) ).

thf(4093,plain,
    ! [SV602: $i,SV519: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ( SV352 != SV650 ) ) )
        = $false )
      | ( ( SV352 = SV650 )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4076]) ).

thf(4094,plain,
    ! [SV602: $i,SV650: $i,SV519: $i,SV352: $i,SV113: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( SV352 = SV650 )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4076]) ).

thf(4095,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ( SV352 != SV650 ) ) )
        = $false )
      | ( ( SV113 = SV602 )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4077]) ).

thf(4096,plain,
    ! [SV650: $i,SV602: $i,SV519: $i,SV352: $i,SV113: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( SV113 = SV602 )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4077]) ).

thf(4097,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( ~ ( ( SV352 != SV650 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4078]) ).

thf(4098,plain,
    ! [SV650: $i,SV602: $i,SV519: $i,SV352: $i,SV113: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4078]) ).

thf(4099,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( SV352 != SV650 )
        = $true )
      | ( ( SV352 = SV650 )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4079]) ).

thf(4100,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( SV352 != SV650 )
        = $true )
      | ( ( SV113 = SV602 )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4081]) ).

thf(4101,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( SV352 != SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4083]) ).

thf(4102,plain,
    ! [SV651: $i,SV655: $i,SV363: $i,SV127: $i,SV608: $i,SV525: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4085]) ).

thf(4103,plain,
    ! [SV127: $i,SV608: $i,SV525: $i,SV363: $i,SV655: $i,SV651: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4086]) ).

thf(4104,plain,
    ! [SV127: $i,SV608: $i,SV525: $i,SV363: $i,SV655: $i,SV651: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4087]) ).

thf(4105,plain,
    ! [SV127: $i,SV608: $i,SV525: $i,SV363: $i,SV655: $i,SV651: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4088]) ).

thf(4106,plain,
    ! [SV652: $i,SV656: $i,SV368: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
              | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
                  | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4089]) ).

thf(4107,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4090]) ).

thf(4108,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4091]) ).

thf(4109,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4092]) ).

thf(4110,plain,
    ! [SV368: $i,SV656: $i,SV652: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4092]) ).

thf(4111,plain,
    ! [SV602: $i,SV519: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( SV352 != SV650 )
        = $true )
      | ( ( SV352 = SV650 )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4093]) ).

thf(4112,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( SV352 != SV650 )
        = $true )
      | ( ( SV113 = SV602 )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4095]) ).

thf(4113,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( SV352 != SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4097]) ).

thf(4114,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( SV352 = SV650 )
        = $false )
      | ( ( SV352 = SV650 )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4099]) ).

thf(4115,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( SV352 = SV650 )
        = $false )
      | ( ( SV113 = SV602 )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4100]) ).

thf(4116,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( SV352 = SV650 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV602 @ SV352 ) ) @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4101]) ).

thf(4117,plain,
    ! [SV127: $i,SV608: $i,SV525: $i,SV363: $i,SV655: $i,SV651: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4102]) ).

thf(4118,plain,
    ! [SV127: $i,SV608: $i,SV525: $i,SV363: $i,SV655: $i,SV651: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4103]) ).

thf(4119,plain,
    ! [SV127: $i,SV608: $i,SV525: $i,SV363: $i,SV655: $i,SV651: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4104]) ).

thf(4120,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4106]) ).

thf(4121,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4107]) ).

thf(4122,plain,
    ! [SV368: $i,SV656: $i,SV652: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4107]) ).

thf(4123,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4108]) ).

thf(4124,plain,
    ! [SV368: $i,SV656: $i,SV652: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4108]) ).

thf(4125,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4109]) ).

thf(4126,plain,
    ! [SV368: $i,SV656: $i,SV652: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4110]) ).

thf(4127,plain,
    ! [SV602: $i,SV519: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( SV352 = SV650 )
        = $false )
      | ( ( SV352 = SV650 )
        = $true )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4111]) ).

thf(4128,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( SV352 = SV650 )
        = $false )
      | ( ( SV113 = SV602 )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4112]) ).

thf(4129,plain,
    ! [SV519: $i,SV602: $i,SV113: $i,SV650: $i,SV352: $i] :
      ( ( ( SV352 = SV650 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV602 ) ) @ SV519 ) )
        = $false )
      | ( ( SV113 = SV352 )
        = $true )
      | ( ( SV113 = SV650 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV113 @ SV352 ) ) @ ( hAPP_A619995676t_bool @ ( hAPP_A384644407t_bool @ ( hAPP_f1336478923t_bool @ arrow_812378712_above @ SV519 ) @ SV602 ) @ SV650 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f503012287l_bool @ ( member1965683644t_bool @ SV519 ) @ arrow_1239002508le_Lin ) )
        = $false )
      | ( ( SV602 = SV650 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV602 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV113 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV352 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4113]) ).

thf(4130,plain,
    ! [SV127: $i,SV608: $i,SV525: $i,SV363: $i,SV655: $i,SV651: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_f695124765t_bool @ f @ SV363 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_f695124765t_bool @ f @ SV127 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV651 @ SV655 ) ) @ ( hAPP_A1374816149t_bool @ SV363 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV525 @ SV608 ) ) @ ( hAPP_A1374816149t_bool @ SV127 @ ( sK28_SY1406 @ SV127 @ SV608 @ SV525 @ SV363 @ SV655 @ SV651 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV127 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV363 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV655 = SV525 )
        = $true )
      | ( ( SV651 = SV608 )
        = $true )
      | ( ( SV525 = SV608 )
        = $true )
      | ( ( SV651 = SV655 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV651 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV525 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV608 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV655 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4117]) ).

thf(4131,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4120]) ).

thf(4132,plain,
    ! [SV368: $i,SV656: $i,SV652: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
              | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4120]) ).

thf(4133,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4121]) ).

thf(4134,plain,
    ! [SV368: $i,SV656: $i,SV652: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4122]) ).

thf(4135,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4123]) ).

thf(4136,plain,
    ! [SV368: $i,SV656: $i,SV652: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4124]) ).

thf(4137,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4125]) ).

thf(4138,plain,
    ! [SV368: $i,SV656: $i,SV652: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4126]) ).

thf(4139,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4131]) ).

thf(4140,plain,
    ! [SV368: $i,SV656: $i,SV652: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
          | ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4132]) ).

thf(4141,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4133]) ).

thf(4142,plain,
    ! [SV368: $i,SV656: $i,SV652: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4134]) ).

thf(4143,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4135]) ).

thf(4144,plain,
    ! [SV368: $i,SV656: $i,SV652: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4136]) ).

thf(4145,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4137]) ).

thf(4146,plain,
    ! [SV368: $i,SV656: $i,SV652: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4138]) ).

thf(4147,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4139]) ).

thf(4148,plain,
    ! [SV368: $i,SV656: $i,SV652: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4140]) ).

thf(4149,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4141]) ).

thf(4150,plain,
    ! [SV368: $i,SV656: $i,SV652: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4142]) ).

thf(4151,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4143]) ).

thf(4152,plain,
    ! [SV368: $i,SV656: $i,SV652: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4144]) ).

thf(4153,plain,
    ! [SV133: $i,SV610: $i,SV528: $i,SV368: $i,SV656: $i,SV652: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4147]) ).

thf(4154,plain,
    ! [SV368: $i,SV656: $i,SV652: $i,SV133: $i,SV610: $i,SV528: $i] :
      ( ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_f695124765t_bool @ f @ SV133 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_f695124765t_bool @ f @ SV368 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV652 @ SV656 ) ) @ ( hAPP_A1374816149t_bool @ SV368 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f745298353l_bool @ ( member1056080916le_alt @ ( produc171383831le_alt @ SV528 @ SV610 ) ) @ ( hAPP_A1374816149t_bool @ SV133 @ ( sK29_SY1407 @ SV133 @ SV610 @ SV528 @ SV368 @ SV656 @ SV652 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV133 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f453661011l_bool @ ( member1277417654t_bool @ SV368 ) @ arrow_413697182e_Prof ) )
        = $false )
      | ( ( SV656 = SV528 )
        = $true )
      | ( ( SV652 = SV610 )
        = $true )
      | ( ( SV528 = SV610 )
        = $true )
      | ( ( SV652 = SV656 )
        = $true )
      | ( ( is_Arr553848933le_alt @ SV652 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV528 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV610 )
        = $false )
      | ( ( is_Arr553848933le_alt @ SV656 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4148]) ).

thf(4155,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[650,4154,4153,4152,4151,4150,4149,4146,4145,4130,4129,4128,4127,4119,4118,4116,4115,4114,4105,4098,4096,4094,4084,4082,4080,4075,4074,4070,4069,4059,4058,4057,4056,4053,4052,4040,4039,4032,4031,4030,4029,4009,4008,3997,3994,3973,3950,3949,3927,3926,3908,3907,3892,3891,3885,3877,3876,3875,3874,3866,3860,3859,3834,3833,3815,3814,3813,3812,3811,3810,3802,3801,3790,3789,3769,3767,3752,3750,3743,3742,3706,3698,3687,3685,3684,3683,3681,3679,3670,3669,3661,3660,3659,3657,3656,3654,3652,3651,3646,3645,3640,3629,3624,3623,3619,3618,3615,3611,3601,3590,3584,3583,3579,3576,3572,3568,3539,3538,3535,3527,3510,3509,3499,3498,3492,3466,3462,3456,3426,3422,3421,3416,3415,3413,3412,3406,3393,3392,3386,3380,3374,3370,3364,3361,3357,3356,3355,3351,3350,3335,3326,3314,3312,3310,3282,3263,3258,3247,3235,3216,3215,3207,3199,3150,3148,3147,3124,3123,3118,3114,3104,3103,3098,3096,3078,3076,3075,3068,3066,3063,3045,3044,3041,3040,3020,3019,3010,2991,2949,2941,2940,2931,2916,2913,2908,2886,2885,2879,2873,2869,2868,2861,2853,2852,2849,2847,2841,2840,2839,2835,2834,2832,2829,2827,2826,2824,2820,2819,2818,2814,2813,2812,2809,2805,2804,2796,2794,2792,2785,2784,2783,2782,2781,2778,2777,2767,2761,2756,2746,2745,2744,2743,2742,2728,2727,2726,2725,2722,2721,2718,2717,2716,2712,2708,2704,2698,2697,2687,2681,2680,2675,2672,2669,2661,2659,2656,2653,2648,2642,2641,2634,2630,2626,2625,2624,2623,2619,2616,2615,2614,2613,2610,2609,2606,2604,2599,2581,2580,2576,2571,2567,2562,2561,2549,2545,2542,2541,2539,2538,2536,2532,2531,2524,2523,2511,2507,2493,2492,2487,2480,2466,2463,2462,2428,2427,2407,2406,2393,2392,2323,2322,2315,2314,2301,2299,2295,2285,2284,2283,2274,2273,2232,2227,2224,2221,2216,2207,2202,2196,2191,2171,2140,2136,2133,2129,2127,2122,2121,2117,2113,2112,2109,2108,2089,2081,2080,2076,2066,2056,2051,2048,2046,2044,2043,2039,2035,2034,2028,2027,2015,2013,2010,2001,1999,1996,1995,1990,1984,1982,1979,1976,1975,1969,1967,1962,1958,1953,1950,1949,1948,1943,1942,1934,1933,1931,1930,1913,1909,1832,1792,1783,1761,1737,1715,1714,1713,1712,1711,1710,1709,1708,1707,1706,1705,1494,1489,1488,1487,1483,1482,1480,1479,1478,1477,1476,1475,1474,1473,1472,1471,1470,1469,1468,1467,1466,1465,1464,1463,1462,1461,1460,1459,1458,1457,1456,1455,1454,1453,1452,1451,1450,1444,1373,1246,1229,1228,1227,1226,1225,1224,1214,1213,1212,1211,1210,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1199,1198,1173,928,925,924,899,847,846,845,825,824,823,822,821,750,749,748,747,746,743,742,733,731,730,729,728,727,726,725,677,676,670,669,668,667,666,665,663,662,661,655,654,653,652,651]) ).

thf(4156,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[4155]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SCT171+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.18  % Computer : n011.cluster.edu
% 0.06/0.18  % Model    : x86_64 x86_64
% 0.06/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18  % Memory   : 8046.5625MB
% 0.06/0.18  % OS       : Linux 6.8.0-71-generic
% 0.06/0.18  % CPULimit : 300
% 0.06/0.18  % WCLimit  : 300
% 0.06/0.18  % DateTime : Tue Oct  6 14:24:51 UTC 2026
% 0.06/0.18  % CPUTime  : 
% 0.06/0.18  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 159.27/26.77  ..
% 159.27/26.77  
% 159.27/26.77   No.of.Axioms: 321
% 159.27/26.77  
% 159.27/26.77   Length.of.Defs: 0
% 159.27/26.77  
% 159.27/26.77   Contains.Choice.Funs: false
% 159.27/26.77  .................................................................................................................................................................................
% 159.27/26.77  
% 159.27/26.77  ********************************
% 159.27/26.77  *   All subproblems solved!    *
% 159.27/26.77  ********************************
% 159.27/26.77  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:321,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:298,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:4155,loop_count:0,foatp_calls:1,translation:fof_full)
% 159.27/26.77  
% 159.27/26.77  %**** Beginning of derivation protocol ****
% 159.27/26.77  % SZS output start CNFRefutation
% See solution above
% 26.76/26.82  
% 26.76/26.82  %**** End of derivation protocol ****
% 26.76/26.82  %**** no. of clauses in derivation: 4156 ****
% 26.76/26.82  %**** clause counter: 4155 ****
% 26.76/26.82  
% 26.76/26.82  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:321,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:298,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:4155,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------