TSTP Solution File: SWW478+2 by LEO-II---1.7.0

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SWW478+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 00:50:36 EDT 2022

% Result   : Theorem 25.99s 26.28s
% Output   : CNFRefutation 28.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      : 1016
% Syntax   : Number of formulae    : 3340 (1906 unt; 800 typ;   0 def)
%            Number of atoms       : 12058 (5804 equ;   0 cnn)
%            Maximal formula atoms :    5 (   4 avg)
%            Number of connectives : 54160 (3477   ~;3172   |; 162   &;47061   @)
%                                         (  74 <=>; 214  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  : 1201 (1201   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  803 ( 800 usr; 176 con; 0-5 aty)
%            Number of variables   : 11647 (   0   ^11619   !;  28   ?;11647   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_add,type,
    add: $i ).

thf(tp_addr,type,
    addr: $i > $i ).

thf(tp_addr_of_sys_xcpt,type,
    addr_of_sys_xcpt: $i > $i ).

thf(tp_assigned,type,
    assigned: $i > $i > $i ).

thf(tp_binOp_list_char,type,
    binOp_list_char: $i > $i > $i > $i ).

thf(tp_binop,type,
    binop: $i ).

thf(tp_block_list_char,type,
    block_list_char: $i > $i > $i > $i ).

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

thf(tp_bop,type,
    bop: $i ).

thf(tp_cOMBB_1027621637t_char,type,
    cOMBB_1027621637t_char: $i ).

thf(tp_cOMBB_1033454012t_char,type,
    cOMBB_1033454012t_char: $i ).

thf(tp_cOMBB_1056322480ol_val,type,
    cOMBB_1056322480ol_val: $i ).

thf(tp_cOMBB_1083177073on_val,type,
    cOMBB_1083177073on_val: $i ).

thf(tp_cOMBB_1091123364t_char,type,
    cOMBB_1091123364t_char: $i ).

thf(tp_cOMBB_1150072860ol_bop,type,
    cOMBB_1150072860ol_bop: $i ).

thf(tp_cOMBB_1153617344on_val,type,
    cOMBB_1153617344on_val: $i ).

thf(tp_cOMBB_1210977579on_val,type,
    cOMBB_1210977579on_val: $i ).

thf(tp_cOMBB_1259202826on_val,type,
    cOMBB_1259202826on_val: $i ).

thf(tp_cOMBB_1271765500t_char,type,
    cOMBB_1271765500t_char: $i ).

thf(tp_cOMBB_1292453606on_val,type,
    cOMBB_1292453606on_val: $i ).

thf(tp_cOMBB_1303934920on_val,type,
    cOMBB_1303934920on_val: $i ).

thf(tp_cOMBB_1353907126al_val,type,
    cOMBB_1353907126al_val: $i ).

thf(tp_cOMBB_1466662571on_val,type,
    cOMBB_1466662571on_val: $i ).

thf(tp_cOMBB_1466889536on_val,type,
    cOMBB_1466889536on_val: $i ).

thf(tp_cOMBB_1518282696on_val,type,
    cOMBB_1518282696on_val: $i ).

thf(tp_cOMBB_1522540928on_val,type,
    cOMBB_1522540928on_val: $i ).

thf(tp_cOMBB_1543649755on_val,type,
    cOMBB_1543649755on_val: $i ).

thf(tp_cOMBB_1572981887on_val,type,
    cOMBB_1572981887on_val: $i ).

thf(tp_cOMBB_1583755916ol_val,type,
    cOMBB_1583755916ol_val: $i ).

thf(tp_cOMBB_171276332on_val,type,
    cOMBB_171276332on_val: $i ).

thf(tp_cOMBB_1718324963ol_bop,type,
    cOMBB_1718324963ol_bop: $i ).

thf(tp_cOMBB_1718333400on_val,type,
    cOMBB_1718333400on_val: $i ).

thf(tp_cOMBB_1730140646ol_val,type,
    cOMBB_1730140646ol_val: $i ).

thf(tp_cOMBB_1749175574t_char,type,
    cOMBB_1749175574t_char: $i ).

thf(tp_cOMBB_1750801836on_val,type,
    cOMBB_1750801836on_val: $i ).

thf(tp_cOMBB_1759207793on_val,type,
    cOMBB_1759207793on_val: $i ).

thf(tp_cOMBB_1895512847t_char,type,
    cOMBB_1895512847t_char: $i ).

thf(tp_cOMBB_1962662865on_val,type,
    cOMBB_1962662865on_val: $i ).

thf(tp_cOMBB_2040779506on_val,type,
    cOMBB_2040779506on_val: $i ).

thf(tp_cOMBB_2121771659al_val,type,
    cOMBB_2121771659al_val: $i ).

thf(tp_cOMBB_223841226on_val,type,
    cOMBB_223841226on_val: $i ).

thf(tp_cOMBB_263586492ol_val,type,
    cOMBB_263586492ol_val: $i ).

thf(tp_cOMBB_292554190ol_bop,type,
    cOMBB_292554190ol_bop: $i ).

thf(tp_cOMBB_315503848t_char,type,
    cOMBB_315503848t_char: $i ).

thf(tp_cOMBB_338347573on_val,type,
    cOMBB_338347573on_val: $i ).

thf(tp_cOMBB_364363975on_val,type,
    cOMBB_364363975on_val: $i ).

thf(tp_cOMBB_383678192on_val,type,
    cOMBB_383678192on_val: $i ).

thf(tp_cOMBB_448128005on_val,type,
    cOMBB_448128005on_val: $i ).

thf(tp_cOMBB_466903633on_val,type,
    cOMBB_466903633on_val: $i ).

thf(tp_cOMBB_486278459on_val,type,
    cOMBB_486278459on_val: $i ).

thf(tp_cOMBB_507649738t_char,type,
    cOMBB_507649738t_char: $i ).

thf(tp_cOMBB_558176806on_val,type,
    cOMBB_558176806on_val: $i ).

thf(tp_cOMBB_572737002on_val,type,
    cOMBB_572737002on_val: $i ).

thf(tp_cOMBB_635947099on_val,type,
    cOMBB_635947099on_val: $i ).

thf(tp_cOMBB_660939282ol_val,type,
    cOMBB_660939282ol_val: $i ).

thf(tp_cOMBB_672625589on_val,type,
    cOMBB_672625589on_val: $i ).

thf(tp_cOMBB_678146046on_val,type,
    cOMBB_678146046on_val: $i ).

thf(tp_cOMBB_73690268t_char,type,
    cOMBB_73690268t_char: $i ).

thf(tp_cOMBB_740252943t_char,type,
    cOMBB_740252943t_char: $i ).

thf(tp_cOMBB_819439237t_char,type,
    cOMBB_819439237t_char: $i ).

thf(tp_cOMBB_840638159al_val,type,
    cOMBB_840638159al_val: $i ).

thf(tp_cOMBB_877741809on_val,type,
    cOMBB_877741809on_val: $i ).

thf(tp_cOMBB_97313278t_char,type,
    cOMBB_97313278t_char: $i ).

thf(tp_cOMBB_bool_bool_val,type,
    cOMBB_bool_bool_val: $i ).

thf(tp_cOMBC_2027949654l_bool,type,
    cOMBC_2027949654l_bool: $i ).

thf(tp_cOMBC_832625297y_bool,type,
    cOMBC_832625297y_bool: $i ).

thf(tp_cOMBS_570216337l_bool,type,
    cOMBS_570216337l_bool: $i > $i > $i ).

thf(tp_c_Expr_Obop_OEq,type,
    c_Expr_Obop_OEq: $i ).

thf(tp_cast_list_char,type,
    cast_list_char: $i > $i > $i ).

thf(tp_class,type,
    class: $i > $i ).

thf(tp_classCast,type,
    classCast: $i ).

thf(tp_conf_P373316194t_char,type,
    conf_P373316194t_char: $i > $i > $i > $i > $i ).

thf(tp_d_list_char,type,
    d_list_char: $i > $i > $i ).

thf(tp_dom_Pr122328314r_bool,type,
    dom_Pr122328314r_bool: $i > $i ).

thf(tp_dom_Pr1286015283al_val,type,
    dom_Pr1286015283al_val: $i > $i ).

thf(tp_dom_Pr1291804355on_val,type,
    dom_Pr1291804355on_val: $i > $i ).

thf(tp_dom_Pr1305783658val_ty,type,
    dom_Pr1305783658val_ty: $i > $i ).

thf(tp_dom_Pr1523486698val_ty,type,
    dom_Pr1523486698val_ty: $i > $i ).

thf(tp_dom_Pr1536367242val_ty,type,
    dom_Pr1536367242val_ty: $i > $i ).

thf(tp_dom_Pr1623760025val_ty,type,
    dom_Pr1623760025val_ty: $i > $i ).

thf(tp_dom_Pr1770328362r_bool,type,
    dom_Pr1770328362r_bool: $i > $i ).

thf(tp_dom_Pr1854948307al_val,type,
    dom_Pr1854948307al_val: $i > $i ).

thf(tp_dom_Pr1989649490on_val,type,
    dom_Pr1989649490on_val: $i > $i ).

thf(tp_dom_Pr364577827on_val,type,
    dom_Pr364577827on_val: $i > $i ).

thf(tp_dom_Pr482007707r_bool,type,
    dom_Pr482007707r_bool: $i > $i ).

thf(tp_dom_Pr548306299r_bool,type,
    dom_Pr548306299r_bool: $i > $i ).

thf(tp_dom_Pr585943145val_ty,type,
    dom_Pr585943145val_ty: $i > $i ).

thf(tp_dom_Pr594962099al_val,type,
    dom_Pr594962099al_val: $i > $i ).

thf(tp_dom_Pr695701035ar_val,type,
    dom_Pr695701035ar_val: $i > $i ).

thf(tp_dom_Pr713105403r_bool,type,
    dom_Pr713105403r_bool: $i > $i ).

thf(tp_dom_Pr717813794on_val,type,
    dom_Pr717813794on_val: $i > $i ).

thf(tp_dom_Pr805691811on_val,type,
    dom_Pr805691811on_val: $i > $i ).

thf(tp_dom_Pr881307234al_val,type,
    dom_Pr881307234al_val: $i > $i ).

thf(tp_dom_Pr934474290al_val,type,
    dom_Pr934474290al_val: $i > $i ).

thf(tp_dom_li2046124138on_val,type,
    dom_li2046124138on_val: $i > $i ).

thf(tp_dom_li347256130r_bool,type,
    dom_li347256130r_bool: $i > $i ).

thf(tp_dom_list_char_ty,type,
    dom_list_char_ty: $i > $i ).

thf(tp_dom_list_char_val,type,
    dom_list_char_val: $i > $i ).

thf(tp_dom_na1091370954r_bool,type,
    dom_na1091370954r_bool: $i > $i ).

thf(tp_dom_na996029170on_val,type,
    dom_na996029170on_val: $i > $i ).

thf(tp_dom_nat_ty,type,
    dom_nat_ty: $i > $i ).

thf(tp_dom_nat_val,type,
    dom_nat_val: $i > $i ).

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

thf(tp_e_a,type,
    e_a: $i ).

thf(tp_ea,type,
    ea: $i ).

thf(tp_eval,type,
    eval: $i > $i > $i > $i ).

thf(tp_fAcc_list_char,type,
    fAcc_list_char: $i > $i > $i > $i ).

thf(tp_fAss_list_char,type,
    fAss_list_char: $i > $i > $i > $i > $i ).

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

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

thf(tp_fconj,type,
    fconj: $i ).

thf(tp_fequal_val,type,
    fequal_val: $i ).

thf(tp_final_list_char,type,
    final_list_char: $i > $i ).

thf(tp_fun_up106272779on_val,type,
    fun_up106272779on_val: $i > $i > $i > $i ).

thf(tp_fun_up1114451667r_bool,type,
    fun_up1114451667r_bool: $i > $i > $i > $i ).

thf(tp_fun_up1149430426on_val,type,
    fun_up1149430426on_val: $i > $i > $i > $i ).

thf(tp_fun_up1177725947on_val,type,
    fun_up1177725947on_val: $i > $i > $i > $i ).

thf(tp_fun_up1250448779on_val,type,
    fun_up1250448779on_val: $i > $i > $i > $i ).

thf(tp_fun_up1256311364r_bool,type,
    fun_up1256311364r_bool: $i > $i > $i > $i ).

thf(tp_fun_up1281163108r_bool,type,
    fun_up1281163108r_bool: $i > $i > $i > $i ).

thf(tp_fun_up1370188258on_val,type,
    fun_up1370188258on_val: $i > $i > $i > $i ).

thf(tp_fun_up160134978ion_ty,type,
    fun_up160134978ion_ty: $i > $i > $i > $i ).

thf(tp_fun_up1686981986r_bool,type,
    fun_up1686981986r_bool: $i > $i > $i > $i ).

thf(tp_fun_up1836969043r_bool,type,
    fun_up1836969043r_bool: $i > $i > $i > $i ).

thf(tp_fun_up1995148684on_val,type,
    fun_up1995148684on_val: $i > $i > $i > $i ).

thf(tp_fun_up2041264236on_val,type,
    fun_up2041264236on_val: $i > $i > $i > $i ).

thf(tp_fun_up204312361on_val,type,
    fun_up204312361on_val: $i > $i > $i > $i ).

thf(tp_fun_up252238218on_val,type,
    fun_up252238218on_val: $i > $i > $i > $i ).

thf(tp_fun_up2650881on_val,type,
    fun_up2650881on_val: $i > $i > $i > $i ).

thf(tp_fun_up307314898on_val,type,
    fun_up307314898on_val: $i > $i > $i > $i ).

thf(tp_fun_up359791042ion_ty,type,
    fun_up359791042ion_ty: $i > $i > $i > $i ).

thf(tp_fun_up387678665r_bool,type,
    fun_up387678665r_bool: $i > $i > $i > $i ).

thf(tp_fun_up421284275ion_ty,type,
    fun_up421284275ion_ty: $i > $i > $i > $i ).

thf(tp_fun_up424764369ion_ty,type,
    fun_up424764369ion_ty: $i > $i > $i > $i ).

thf(tp_fun_up430376729ion_ty,type,
    fun_up430376729ion_ty: $i > $i > $i > $i ).

thf(tp_fun_up576032467ion_ty,type,
    fun_up576032467ion_ty: $i > $i > $i > $i ).

thf(tp_fun_up638349240ion_ty,type,
    fun_up638349240ion_ty: $i > $i > $i > $i ).

thf(tp_fun_up683731323on_val,type,
    fun_up683731323on_val: $i > $i > $i > $i ).

thf(tp_fun_up768537841on_val,type,
    fun_up768537841on_val: $i > $i > $i > $i ).

thf(tp_fun_up846528380on_val,type,
    fun_up846528380on_val: $i > $i > $i > $i ).

thf(tp_fun_up958248092on_val,type,
    fun_up958248092on_val: $i > $i > $i > $i ).

thf(tp_fun_up965897386r_bool,type,
    fun_up965897386r_bool: $i > $i > $i > $i ).

thf(tp_hAPP_P1020760203t_bool,type,
    hAPP_P1020760203t_bool: $i > $i > $i ).

thf(tp_hAPP_P1066308164on_val,type,
    hAPP_P1066308164on_val: $i > $i > $i ).

thf(tp_hAPP_P1067836940al_val,type,
    hAPP_P1067836940al_val: $i > $i > $i ).

thf(tp_hAPP_P107417220t_bool,type,
    hAPP_P107417220t_bool: $i > $i > $i ).

thf(tp_hAPP_P1116729363l_bool,type,
    hAPP_P1116729363l_bool: $i > $i > $i ).

thf(tp_hAPP_P1120259733t_bool,type,
    hAPP_P1120259733t_bool: $i > $i > $i ).

thf(tp_hAPP_P1134042693l_bool,type,
    hAPP_P1134042693l_bool: $i > $i > $i ).

thf(tp_hAPP_P1138140810l_bool,type,
    hAPP_P1138140810l_bool: $i > $i > $i ).

thf(tp_hAPP_P1167611309r_bool,type,
    hAPP_P1167611309r_bool: $i > $i > $i ).

thf(tp_hAPP_P121427050ion_ty,type,
    hAPP_P121427050ion_ty: $i > $i > $i ).

thf(tp_hAPP_P1228500987ion_ty,type,
    hAPP_P1228500987ion_ty: $i > $i > $i ).

thf(tp_hAPP_P1230564778on_val,type,
    hAPP_P1230564778on_val: $i > $i > $i ).

thf(tp_hAPP_P1232134614l_bool,type,
    hAPP_P1232134614l_bool: $i > $i > $i ).

thf(tp_hAPP_P1235399154l_bool,type,
    hAPP_P1235399154l_bool: $i > $i > $i ).

thf(tp_hAPP_P1308752439r_bool,type,
    hAPP_P1308752439r_bool: $i > $i > $i ).

thf(tp_hAPP_P1354839595l_bool,type,
    hAPP_P1354839595l_bool: $i > $i > $i ).

thf(tp_hAPP_P1354850246l_bool,type,
    hAPP_P1354850246l_bool: $i > $i > $i ).

thf(tp_hAPP_P1366871678r_bool,type,
    hAPP_P1366871678r_bool: $i > $i > $i ).

thf(tp_hAPP_P1374609397l_bool,type,
    hAPP_P1374609397l_bool: $i > $i > $i ).

thf(tp_hAPP_P1384137393r_bool,type,
    hAPP_P1384137393r_bool: $i > $i > $i ).

thf(tp_hAPP_P1389845689l_bool,type,
    hAPP_P1389845689l_bool: $i > $i > $i ).

thf(tp_hAPP_P142343914ion_ty,type,
    hAPP_P142343914ion_ty: $i > $i > $i ).

thf(tp_hAPP_P147338735on_val,type,
    hAPP_P147338735on_val: $i > $i > $i ).

thf(tp_hAPP_P1501097100r_bool,type,
    hAPP_P1501097100r_bool: $i > $i > $i ).

thf(tp_hAPP_P1510515380on_val,type,
    hAPP_P1510515380on_val: $i > $i > $i ).

thf(tp_hAPP_P1510984930r_bool,type,
    hAPP_P1510984930r_bool: $i > $i > $i ).

thf(tp_hAPP_P1529692155r_bool,type,
    hAPP_P1529692155r_bool: $i > $i > $i ).

thf(tp_hAPP_P1578317968ion_ty,type,
    hAPP_P1578317968ion_ty: $i > $i > $i ).

thf(tp_hAPP_P1591874724l_bool,type,
    hAPP_P1591874724l_bool: $i > $i > $i ).

thf(tp_hAPP_P1594728115on_val,type,
    hAPP_P1594728115on_val: $i > $i > $i ).

thf(tp_hAPP_P159683425l_bool,type,
    hAPP_P159683425l_bool: $i > $i > $i ).

thf(tp_hAPP_P1605474468l_bool,type,
    hAPP_P1605474468l_bool: $i > $i > $i ).

thf(tp_hAPP_P1637755428l_bool,type,
    hAPP_P1637755428l_bool: $i > $i > $i ).

thf(tp_hAPP_P1638898323l_bool,type,
    hAPP_P1638898323l_bool: $i > $i > $i ).

thf(tp_hAPP_P1696703717l_bool,type,
    hAPP_P1696703717l_bool: $i > $i > $i ).

thf(tp_hAPP_P1708370145l_bool,type,
    hAPP_P1708370145l_bool: $i > $i > $i ).

thf(tp_hAPP_P171414854l_bool,type,
    hAPP_P171414854l_bool: $i > $i > $i ).

thf(tp_hAPP_P1717724164t_bool,type,
    hAPP_P1717724164t_bool: $i > $i > $i ).

thf(tp_hAPP_P1760219823on_val,type,
    hAPP_P1760219823on_val: $i > $i > $i ).

thf(tp_hAPP_P177222514l_bool,type,
    hAPP_P177222514l_bool: $i > $i > $i ).

thf(tp_hAPP_P1776198677on_val,type,
    hAPP_P1776198677on_val: $i > $i > $i ).

thf(tp_hAPP_P1788447177on_val,type,
    hAPP_P1788447177on_val: $i > $i > $i ).

thf(tp_hAPP_P1802178130t_bool,type,
    hAPP_P1802178130t_bool: $i > $i > $i ).

thf(tp_hAPP_P1815899455l_bool,type,
    hAPP_P1815899455l_bool: $i > $i > $i ).

thf(tp_hAPP_P1826803705l_bool,type,
    hAPP_P1826803705l_bool: $i > $i > $i ).

thf(tp_hAPP_P1870962205on_val,type,
    hAPP_P1870962205on_val: $i > $i > $i ).

thf(tp_hAPP_P1882136222l_bool,type,
    hAPP_P1882136222l_bool: $i > $i > $i ).

thf(tp_hAPP_P1883022279on_val,type,
    hAPP_P1883022279on_val: $i > $i > $i ).

thf(tp_hAPP_P1886180715on_val,type,
    hAPP_P1886180715on_val: $i > $i > $i ).

thf(tp_hAPP_P1936714534on_val,type,
    hAPP_P1936714534on_val: $i > $i > $i ).

thf(tp_hAPP_P193916115t_char,type,
    hAPP_P193916115t_char: $i > $i > $i ).

thf(tp_hAPP_P1953518277l_bool,type,
    hAPP_P1953518277l_bool: $i > $i > $i ).

thf(tp_hAPP_P1971671882l_bool,type,
    hAPP_P1971671882l_bool: $i > $i > $i ).

thf(tp_hAPP_P1988097815l_bool,type,
    hAPP_P1988097815l_bool: $i > $i > $i ).

thf(tp_hAPP_P1988153107l_bool,type,
    hAPP_P1988153107l_bool: $i > $i > $i ).

thf(tp_hAPP_P1989760379r_bool,type,
    hAPP_P1989760379r_bool: $i > $i > $i ).

thf(tp_hAPP_P2013623467al_val,type,
    hAPP_P2013623467al_val: $i > $i > $i ).

thf(tp_hAPP_P2024243179on_val,type,
    hAPP_P2024243179on_val: $i > $i > $i ).

thf(tp_hAPP_P2034098401l_bool,type,
    hAPP_P2034098401l_bool: $i > $i > $i ).

thf(tp_hAPP_P2074628057on_val,type,
    hAPP_P2074628057on_val: $i > $i > $i ).

thf(tp_hAPP_P2083594489on_val,type,
    hAPP_P2083594489on_val: $i > $i > $i ).

thf(tp_hAPP_P2094403585on_val,type,
    hAPP_P2094403585on_val: $i > $i > $i ).

thf(tp_hAPP_P2111013316on_val,type,
    hAPP_P2111013316on_val: $i > $i > $i ).

thf(tp_hAPP_P2143028400r_bool,type,
    hAPP_P2143028400r_bool: $i > $i > $i ).

thf(tp_hAPP_P282169671l_bool,type,
    hAPP_P282169671l_bool: $i > $i > $i ).

thf(tp_hAPP_P292217386t_bool,type,
    hAPP_P292217386t_bool: $i > $i > $i ).

thf(tp_hAPP_P294971854on_val,type,
    hAPP_P294971854on_val: $i > $i > $i ).

thf(tp_hAPP_P323054207l_bool,type,
    hAPP_P323054207l_bool: $i > $i > $i ).

thf(tp_hAPP_P33140378l_bool,type,
    hAPP_P33140378l_bool: $i > $i > $i ).

thf(tp_hAPP_P343853784r_bool,type,
    hAPP_P343853784r_bool: $i > $i > $i ).

thf(tp_hAPP_P39917866l_bool,type,
    hAPP_P39917866l_bool: $i > $i > $i ).

thf(tp_hAPP_P416784693l_bool,type,
    hAPP_P416784693l_bool: $i > $i > $i ).

thf(tp_hAPP_P449474095r_bool,type,
    hAPP_P449474095r_bool: $i > $i > $i ).

thf(tp_hAPP_P50259953ion_ty,type,
    hAPP_P50259953ion_ty: $i > $i > $i ).

thf(tp_hAPP_P509577523on_val,type,
    hAPP_P509577523on_val: $i > $i > $i ).

thf(tp_hAPP_P536162016l_bool,type,
    hAPP_P536162016l_bool: $i > $i > $i ).

thf(tp_hAPP_P553120288l_bool,type,
    hAPP_P553120288l_bool: $i > $i > $i ).

thf(tp_hAPP_P576112536r_bool,type,
    hAPP_P576112536r_bool: $i > $i > $i ).

thf(tp_hAPP_P584663426r_bool,type,
    hAPP_P584663426r_bool: $i > $i > $i ).

thf(tp_hAPP_P595502227l_bool,type,
    hAPP_P595502227l_bool: $i > $i > $i ).

thf(tp_hAPP_P599819262r_bool,type,
    hAPP_P599819262r_bool: $i > $i > $i ).

thf(tp_hAPP_P604205461on_val,type,
    hAPP_P604205461on_val: $i > $i > $i ).

thf(tp_hAPP_P665696794l_bool,type,
    hAPP_P665696794l_bool: $i > $i > $i ).

thf(tp_hAPP_P678729081l_bool,type,
    hAPP_P678729081l_bool: $i > $i > $i ).

thf(tp_hAPP_P693658169l_bool,type,
    hAPP_P693658169l_bool: $i > $i > $i ).

thf(tp_hAPP_P698243685l_bool,type,
    hAPP_P698243685l_bool: $i > $i > $i ).

thf(tp_hAPP_P712854582t_bool,type,
    hAPP_P712854582t_bool: $i > $i > $i ).

thf(tp_hAPP_P722986275on_val,type,
    hAPP_P722986275on_val: $i > $i > $i ).

thf(tp_hAPP_P731332193l_bool,type,
    hAPP_P731332193l_bool: $i > $i > $i ).

thf(tp_hAPP_P733122084l_bool,type,
    hAPP_P733122084l_bool: $i > $i > $i ).

thf(tp_hAPP_P789556885on_val,type,
    hAPP_P789556885on_val: $i > $i > $i ).

thf(tp_hAPP_P808259092l_bool,type,
    hAPP_P808259092l_bool: $i > $i > $i ).

thf(tp_hAPP_P87436745l_bool,type,
    hAPP_P87436745l_bool: $i > $i > $i ).

thf(tp_hAPP_P89750179on_val,type,
    hAPP_P89750179on_val: $i > $i > $i ).

thf(tp_hAPP_P912976383l_bool,type,
    hAPP_P912976383l_bool: $i > $i > $i ).

thf(tp_hAPP_P921015288l_bool,type,
    hAPP_P921015288l_bool: $i > $i > $i ).

thf(tp_hAPP_P926760609r_bool,type,
    hAPP_P926760609r_bool: $i > $i > $i ).

thf(tp_hAPP_P929466802al_val,type,
    hAPP_P929466802al_val: $i > $i > $i ).

thf(tp_hAPP_P929938951l_bool,type,
    hAPP_P929938951l_bool: $i > $i > $i ).

thf(tp_hAPP_P930111162on_val,type,
    hAPP_P930111162on_val: $i > $i > $i ).

thf(tp_hAPP_P943837928l_bool,type,
    hAPP_P943837928l_bool: $i > $i > $i ).

thf(tp_hAPP_P947230058t_bool,type,
    hAPP_P947230058t_bool: $i > $i > $i ).

thf(tp_hAPP_b108134598l_bool,type,
    hAPP_b108134598l_bool: $i > $i > $i ).

thf(tp_hAPP_b1229254591al_val,type,
    hAPP_b1229254591al_val: $i > $i > $i ).

thf(tp_hAPP_b1434170967l_bool,type,
    hAPP_b1434170967l_bool: $i > $i > $i ).

thf(tp_hAPP_b1505407649r_bool,type,
    hAPP_b1505407649r_bool: $i > $i > $i ).

thf(tp_hAPP_b1930329414l_bool,type,
    hAPP_b1930329414l_bool: $i > $i > $i ).

thf(tp_hAPP_b420404024on_val,type,
    hAPP_b420404024on_val: $i > $i > $i ).

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

thf(tp_hAPP_b617716791t_bool,type,
    hAPP_b617716791t_bool: $i > $i > $i ).

thf(tp_hAPP_b653060073l_bool,type,
    hAPP_b653060073l_bool: $i > $i > $i ).

thf(tp_hAPP_b940299656l_bool,type,
    hAPP_b940299656l_bool: $i > $i > $i ).

thf(tp_hAPP_b97269396l_bool,type,
    hAPP_b97269396l_bool: $i > $i > $i ).

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

thf(tp_hAPP_e108155315on_val,type,
    hAPP_e108155315on_val: $i > $i > $i ).

thf(tp_hAPP_e1372786563l_bool,type,
    hAPP_e1372786563l_bool: $i > $i > $i ).

thf(tp_hAPP_e1610291612l_bool,type,
    hAPP_e1610291612l_bool: $i > $i > $i ).

thf(tp_hAPP_e1659493427on_val,type,
    hAPP_e1659493427on_val: $i > $i > $i ).

thf(tp_hAPP_e1833980889l_bool,type,
    hAPP_e1833980889l_bool: $i > $i > $i ).

thf(tp_hAPP_e2019828964l_bool,type,
    hAPP_e2019828964l_bool: $i > $i > $i ).

thf(tp_hAPP_e2128781980r_bool,type,
    hAPP_e2128781980r_bool: $i > $i > $i ).

thf(tp_hAPP_e41879804t_bool,type,
    hAPP_e41879804t_bool: $i > $i > $i ).

thf(tp_hAPP_e500528395l_bool,type,
    hAPP_e500528395l_bool: $i > $i > $i ).

thf(tp_hAPP_e592495499l_bool,type,
    hAPP_e592495499l_bool: $i > $i > $i ).

thf(tp_hAPP_f1000689699l_bool,type,
    hAPP_f1000689699l_bool: $i > $i > $i ).

thf(tp_hAPP_f1001225811y_bool,type,
    hAPP_f1001225811y_bool: $i > $i > $i ).

thf(tp_hAPP_f10074679l_bool,type,
    hAPP_f10074679l_bool: $i > $i > $i ).

thf(tp_hAPP_f1008932791l_bool,type,
    hAPP_f1008932791l_bool: $i > $i > $i ).

thf(tp_hAPP_f1024478733l_bool,type,
    hAPP_f1024478733l_bool: $i > $i > $i ).

thf(tp_hAPP_f1033709212l_bool,type,
    hAPP_f1033709212l_bool: $i > $i > $i ).

thf(tp_hAPP_f1043869573l_bool,type,
    hAPP_f1043869573l_bool: $i > $i > $i ).

thf(tp_hAPP_f1046102489l_bool,type,
    hAPP_f1046102489l_bool: $i > $i > $i ).

thf(tp_hAPP_f1048754599r_bool,type,
    hAPP_f1048754599r_bool: $i > $i > $i ).

thf(tp_hAPP_f104936073r_bool,type,
    hAPP_f104936073r_bool: $i > $i > $i ).

thf(tp_hAPP_f1050935001l_bool,type,
    hAPP_f1050935001l_bool: $i > $i > $i ).

thf(tp_hAPP_f1056413453r_bool,type,
    hAPP_f1056413453r_bool: $i > $i > $i ).

thf(tp_hAPP_f1074020887l_bool,type,
    hAPP_f1074020887l_bool: $i > $i > $i ).

thf(tp_hAPP_f1090181127on_val,type,
    hAPP_f1090181127on_val: $i > $i > $i ).

thf(tp_hAPP_f10956301l_bool,type,
    hAPP_f10956301l_bool: $i > $i > $i ).

thf(tp_hAPP_f1136596083l_bool,type,
    hAPP_f1136596083l_bool: $i > $i > $i ).

thf(tp_hAPP_f1138830003l_bool,type,
    hAPP_f1138830003l_bool: $i > $i > $i ).

thf(tp_hAPP_f1140566725l_bool,type,
    hAPP_f1140566725l_bool: $i > $i > $i ).

thf(tp_hAPP_f1145256474l_bool,type,
    hAPP_f1145256474l_bool: $i > $i > $i ).

thf(tp_hAPP_f1145600492l_bool,type,
    hAPP_f1145600492l_bool: $i > $i > $i ).

thf(tp_hAPP_f1150574413l_bool,type,
    hAPP_f1150574413l_bool: $i > $i > $i ).

thf(tp_hAPP_f1153851723l_bool,type,
    hAPP_f1153851723l_bool: $i > $i > $i ).

thf(tp_hAPP_f1157264807l_bool,type,
    hAPP_f1157264807l_bool: $i > $i > $i ).

thf(tp_hAPP_f1175813647l_bool,type,
    hAPP_f1175813647l_bool: $i > $i > $i ).

thf(tp_hAPP_f1181212006al_val,type,
    hAPP_f1181212006al_val: $i > $i > $i ).

thf(tp_hAPP_f1182128795l_bool,type,
    hAPP_f1182128795l_bool: $i > $i > $i ).

thf(tp_hAPP_f118445774t_bool,type,
    hAPP_f118445774t_bool: $i > $i > $i ).

thf(tp_hAPP_f1203122723t_bool,type,
    hAPP_f1203122723t_bool: $i > $i > $i ).

thf(tp_hAPP_f1203390411l_bool,type,
    hAPP_f1203390411l_bool: $i > $i > $i ).

thf(tp_hAPP_f1213370163y_bool,type,
    hAPP_f1213370163y_bool: $i > $i > $i ).

thf(tp_hAPP_f1233687287l_bool,type,
    hAPP_f1233687287l_bool: $i > $i > $i ).

thf(tp_hAPP_f1241216909l_bool,type,
    hAPP_f1241216909l_bool: $i > $i > $i ).

thf(tp_hAPP_f1261046903l_bool,type,
    hAPP_f1261046903l_bool: $i > $i > $i ).

thf(tp_hAPP_f1271281289on_val,type,
    hAPP_f1271281289on_val: $i > $i > $i ).

thf(tp_hAPP_f1276548047l_bool,type,
    hAPP_f1276548047l_bool: $i > $i > $i ).

thf(tp_hAPP_f1301559543l_bool,type,
    hAPP_f1301559543l_bool: $i > $i > $i ).

thf(tp_hAPP_f1308714617l_bool,type,
    hAPP_f1308714617l_bool: $i > $i > $i ).

thf(tp_hAPP_f1309113673on_val,type,
    hAPP_f1309113673on_val: $i > $i > $i ).

thf(tp_hAPP_f1326058377l_bool,type,
    hAPP_f1326058377l_bool: $i > $i > $i ).

thf(tp_hAPP_f1336948941l_bool,type,
    hAPP_f1336948941l_bool: $i > $i > $i ).

thf(tp_hAPP_f1341053989l_bool,type,
    hAPP_f1341053989l_bool: $i > $i > $i ).

thf(tp_hAPP_f1342895119l_bool,type,
    hAPP_f1342895119l_bool: $i > $i > $i ).

thf(tp_hAPP_f1353090281l_bool,type,
    hAPP_f1353090281l_bool: $i > $i > $i ).

thf(tp_hAPP_f1363667773l_bool,type,
    hAPP_f1363667773l_bool: $i > $i > $i ).

thf(tp_hAPP_f1371002581r_bool,type,
    hAPP_f1371002581r_bool: $i > $i > $i ).

thf(tp_hAPP_f1399435963l_bool,type,
    hAPP_f1399435963l_bool: $i > $i > $i ).

thf(tp_hAPP_f1400730257l_bool,type,
    hAPP_f1400730257l_bool: $i > $i > $i ).

thf(tp_hAPP_f1432609211l_bool,type,
    hAPP_f1432609211l_bool: $i > $i > $i ).

thf(tp_hAPP_f1438732387l_bool,type,
    hAPP_f1438732387l_bool: $i > $i > $i ).

thf(tp_hAPP_f1440866903l_bool,type,
    hAPP_f1440866903l_bool: $i > $i > $i ).

thf(tp_hAPP_f1443410953l_bool,type,
    hAPP_f1443410953l_bool: $i > $i > $i ).

thf(tp_hAPP_f1452292669l_bool,type,
    hAPP_f1452292669l_bool: $i > $i > $i ).

thf(tp_hAPP_f1491134931r_bool,type,
    hAPP_f1491134931r_bool: $i > $i > $i ).

thf(tp_hAPP_f1492320500l_bool,type,
    hAPP_f1492320500l_bool: $i > $i > $i ).

thf(tp_hAPP_f1508793015l_bool,type,
    hAPP_f1508793015l_bool: $i > $i > $i ).

thf(tp_hAPP_f151189509l_bool,type,
    hAPP_f151189509l_bool: $i > $i > $i ).

thf(tp_hAPP_f1520199827on_val,type,
    hAPP_f1520199827on_val: $i > $i > $i ).

thf(tp_hAPP_f1523875321l_bool,type,
    hAPP_f1523875321l_bool: $i > $i > $i ).

thf(tp_hAPP_f1534412387l_bool,type,
    hAPP_f1534412387l_bool: $i > $i > $i ).

thf(tp_hAPP_f1550515381l_bool,type,
    hAPP_f1550515381l_bool: $i > $i > $i ).

thf(tp_hAPP_f15579599t_char,type,
    hAPP_f15579599t_char: $i > $i > $i ).

thf(tp_hAPP_f1560238713l_bool,type,
    hAPP_f1560238713l_bool: $i > $i > $i ).

thf(tp_hAPP_f1561329507l_bool,type,
    hAPP_f1561329507l_bool: $i > $i > $i ).

thf(tp_hAPP_f1572306499l_bool,type,
    hAPP_f1572306499l_bool: $i > $i > $i ).

thf(tp_hAPP_f1589017327l_bool,type,
    hAPP_f1589017327l_bool: $i > $i > $i ).

thf(tp_hAPP_f1590577855l_bool,type,
    hAPP_f1590577855l_bool: $i > $i > $i ).

thf(tp_hAPP_f1591648613l_bool,type,
    hAPP_f1591648613l_bool: $i > $i > $i ).

thf(tp_hAPP_f1608665167l_bool,type,
    hAPP_f1608665167l_bool: $i > $i > $i ).

thf(tp_hAPP_f1608921212l_bool,type,
    hAPP_f1608921212l_bool: $i > $i > $i ).

thf(tp_hAPP_f1614126606on_val,type,
    hAPP_f1614126606on_val: $i > $i > $i ).

thf(tp_hAPP_f1617787571l_bool,type,
    hAPP_f1617787571l_bool: $i > $i > $i ).

thf(tp_hAPP_f1623341439r_bool,type,
    hAPP_f1623341439r_bool: $i > $i > $i ).

thf(tp_hAPP_f1628326017t_char,type,
    hAPP_f1628326017t_char: $i > $i > $i ).

thf(tp_hAPP_f1631509563l_bool,type,
    hAPP_f1631509563l_bool: $i > $i > $i ).

thf(tp_hAPP_f1633332187r_bool,type,
    hAPP_f1633332187r_bool: $i > $i > $i ).

thf(tp_hAPP_f1650812869r_bool,type,
    hAPP_f1650812869r_bool: $i > $i > $i ).

thf(tp_hAPP_f1661550453l_bool,type,
    hAPP_f1661550453l_bool: $i > $i > $i ).

thf(tp_hAPP_f1683814075r_bool,type,
    hAPP_f1683814075r_bool: $i > $i > $i ).

thf(tp_hAPP_f1685556710r_bool,type,
    hAPP_f1685556710r_bool: $i > $i > $i ).

thf(tp_hAPP_f1695781849al_val,type,
    hAPP_f1695781849al_val: $i > $i > $i ).

thf(tp_hAPP_f1706021209r_bool,type,
    hAPP_f1706021209r_bool: $i > $i > $i ).

thf(tp_hAPP_f1712766199l_bool,type,
    hAPP_f1712766199l_bool: $i > $i > $i ).

thf(tp_hAPP_f1715346603l_bool,type,
    hAPP_f1715346603l_bool: $i > $i > $i ).

thf(tp_hAPP_f1724962851l_bool,type,
    hAPP_f1724962851l_bool: $i > $i > $i ).

thf(tp_hAPP_f1725502637l_bool,type,
    hAPP_f1725502637l_bool: $i > $i > $i ).

thf(tp_hAPP_f1727192346on_val,type,
    hAPP_f1727192346on_val: $i > $i > $i ).

thf(tp_hAPP_f1734879897l_bool,type,
    hAPP_f1734879897l_bool: $i > $i > $i ).

thf(tp_hAPP_f1742268533r_bool,type,
    hAPP_f1742268533r_bool: $i > $i > $i ).

thf(tp_hAPP_f1760682521l_bool,type,
    hAPP_f1760682521l_bool: $i > $i > $i ).

thf(tp_hAPP_f176769507l_bool,type,
    hAPP_f176769507l_bool: $i > $i > $i ).

thf(tp_hAPP_f1777594159l_bool,type,
    hAPP_f1777594159l_bool: $i > $i > $i ).

thf(tp_hAPP_f1779904442al_val,type,
    hAPP_f1779904442al_val: $i > $i > $i ).

thf(tp_hAPP_f1803975093l_bool,type,
    hAPP_f1803975093l_bool: $i > $i > $i ).

thf(tp_hAPP_f1804599279l_bool,type,
    hAPP_f1804599279l_bool: $i > $i > $i ).

thf(tp_hAPP_f181262431l_bool,type,
    hAPP_f181262431l_bool: $i > $i > $i ).

thf(tp_hAPP_f1817272339l_bool,type,
    hAPP_f1817272339l_bool: $i > $i > $i ).

thf(tp_hAPP_f1817800029l_bool,type,
    hAPP_f1817800029l_bool: $i > $i > $i ).

thf(tp_hAPP_f1818217r_bool,type,
    hAPP_f1818217r_bool: $i > $i > $i ).

thf(tp_hAPP_f1825030711l_bool,type,
    hAPP_f1825030711l_bool: $i > $i > $i ).

thf(tp_hAPP_f1830813581l_bool,type,
    hAPP_f1830813581l_bool: $i > $i > $i ).

thf(tp_hAPP_f1840640125on_val,type,
    hAPP_f1840640125on_val: $i > $i > $i ).

thf(tp_hAPP_f1849790461on_val,type,
    hAPP_f1849790461on_val: $i > $i > $i ).

thf(tp_hAPP_f1857971237t_bool,type,
    hAPP_f1857971237t_bool: $i > $i > $i ).

thf(tp_hAPP_f1859015701l_bool,type,
    hAPP_f1859015701l_bool: $i > $i > $i ).

thf(tp_hAPP_f1861125939r_bool,type,
    hAPP_f1861125939r_bool: $i > $i > $i ).

thf(tp_hAPP_f1863694447l_bool,type,
    hAPP_f1863694447l_bool: $i > $i > $i ).

thf(tp_hAPP_f1926378906on_val,type,
    hAPP_f1926378906on_val: $i > $i > $i ).

thf(tp_hAPP_f1927197746t_bool,type,
    hAPP_f1927197746t_bool: $i > $i > $i ).

thf(tp_hAPP_f1928083410l_bool,type,
    hAPP_f1928083410l_bool: $i > $i > $i ).

thf(tp_hAPP_f192981486l_bool,type,
    hAPP_f192981486l_bool: $i > $i > $i ).

thf(tp_hAPP_f1930574389l_bool,type,
    hAPP_f1930574389l_bool: $i > $i > $i ).

thf(tp_hAPP_f1935223905l_bool,type,
    hAPP_f1935223905l_bool: $i > $i > $i ).

thf(tp_hAPP_f1936466825l_bool,type,
    hAPP_f1936466825l_bool: $i > $i > $i ).

thf(tp_hAPP_f1937467848l_bool,type,
    hAPP_f1937467848l_bool: $i > $i > $i ).

thf(tp_hAPP_f193834907l_bool,type,
    hAPP_f193834907l_bool: $i > $i > $i ).

thf(tp_hAPP_f1939255213on_val,type,
    hAPP_f1939255213on_val: $i > $i > $i ).

thf(tp_hAPP_f195923946l_bool,type,
    hAPP_f195923946l_bool: $i > $i > $i ).

thf(tp_hAPP_f1965627013l_bool,type,
    hAPP_f1965627013l_bool: $i > $i > $i ).

thf(tp_hAPP_f1973249537r_bool,type,
    hAPP_f1973249537r_bool: $i > $i > $i ).

thf(tp_hAPP_f1977633121l_bool,type,
    hAPP_f1977633121l_bool: $i > $i > $i ).

thf(tp_hAPP_f1992719827l_bool,type,
    hAPP_f1992719827l_bool: $i > $i > $i ).

thf(tp_hAPP_f1996106275l_bool,type,
    hAPP_f1996106275l_bool: $i > $i > $i ).

thf(tp_hAPP_f2011777102l_bool,type,
    hAPP_f2011777102l_bool: $i > $i > $i ).

thf(tp_hAPP_f2020099865l_bool,type,
    hAPP_f2020099865l_bool: $i > $i > $i ).

thf(tp_hAPP_f2032347769l_bool,type,
    hAPP_f2032347769l_bool: $i > $i > $i ).

thf(tp_hAPP_f2039548047l_bool,type,
    hAPP_f2039548047l_bool: $i > $i > $i ).

thf(tp_hAPP_f2044570451l_bool,type,
    hAPP_f2044570451l_bool: $i > $i > $i ).

thf(tp_hAPP_f204556415on_val,type,
    hAPP_f204556415on_val: $i > $i > $i ).

thf(tp_hAPP_f204771371l_bool,type,
    hAPP_f204771371l_bool: $i > $i > $i ).

thf(tp_hAPP_f2048668297l_bool,type,
    hAPP_f2048668297l_bool: $i > $i > $i ).

thf(tp_hAPP_f2051274555l_bool,type,
    hAPP_f2051274555l_bool: $i > $i > $i ).

thf(tp_hAPP_f2052660463l_bool,type,
    hAPP_f2052660463l_bool: $i > $i > $i ).

thf(tp_hAPP_f2057883639l_bool,type,
    hAPP_f2057883639l_bool: $i > $i > $i ).

thf(tp_hAPP_f2060496320y_bool,type,
    hAPP_f2060496320y_bool: $i > $i > $i ).

thf(tp_hAPP_f2061154754l_bool,type,
    hAPP_f2061154754l_bool: $i > $i > $i ).

thf(tp_hAPP_f2092385043l_bool,type,
    hAPP_f2092385043l_bool: $i > $i > $i ).

thf(tp_hAPP_f2106552235on_val,type,
    hAPP_f2106552235on_val: $i > $i > $i ).

thf(tp_hAPP_f21084934l_bool,type,
    hAPP_f21084934l_bool: $i > $i > $i ).

thf(tp_hAPP_f2121594859l_bool,type,
    hAPP_f2121594859l_bool: $i > $i > $i ).

thf(tp_hAPP_f2132060507r_bool,type,
    hAPP_f2132060507r_bool: $i > $i > $i ).

thf(tp_hAPP_f2134824737l_bool,type,
    hAPP_f2134824737l_bool: $i > $i > $i ).

thf(tp_hAPP_f2135509569l_bool,type,
    hAPP_f2135509569l_bool: $i > $i > $i ).

thf(tp_hAPP_f2144092865l_bool,type,
    hAPP_f2144092865l_bool: $i > $i > $i ).

thf(tp_hAPP_f235082303t_bool,type,
    hAPP_f235082303t_bool: $i > $i > $i ).

thf(tp_hAPP_f243373951t_bool,type,
    hAPP_f243373951t_bool: $i > $i > $i ).

thf(tp_hAPP_f26812903r_bool,type,
    hAPP_f26812903r_bool: $i > $i > $i ).

thf(tp_hAPP_f281022143l_bool,type,
    hAPP_f281022143l_bool: $i > $i > $i ).

thf(tp_hAPP_f284805883t_bool,type,
    hAPP_f284805883t_bool: $i > $i > $i ).

thf(tp_hAPP_f295212021l_bool,type,
    hAPP_f295212021l_bool: $i > $i > $i ).

thf(tp_hAPP_f318082871l_bool,type,
    hAPP_f318082871l_bool: $i > $i > $i ).

thf(tp_hAPP_f332734435r_bool,type,
    hAPP_f332734435r_bool: $i > $i > $i ).

thf(tp_hAPP_f336522659r_bool,type,
    hAPP_f336522659r_bool: $i > $i > $i ).

thf(tp_hAPP_f338074126t_char,type,
    hAPP_f338074126t_char: $i > $i > $i ).

thf(tp_hAPP_f338507310l_bool,type,
    hAPP_f338507310l_bool: $i > $i > $i ).

thf(tp_hAPP_f340876351l_bool,type,
    hAPP_f340876351l_bool: $i > $i > $i ).

thf(tp_hAPP_f348318673l_bool,type,
    hAPP_f348318673l_bool: $i > $i > $i ).

thf(tp_hAPP_f363827556r_bool,type,
    hAPP_f363827556r_bool: $i > $i > $i ).

thf(tp_hAPP_f365540729l_bool,type,
    hAPP_f365540729l_bool: $i > $i > $i ).

thf(tp_hAPP_f372404869on_val,type,
    hAPP_f372404869on_val: $i > $i > $i ).

thf(tp_hAPP_f384373191al_val,type,
    hAPP_f384373191al_val: $i > $i > $i ).

thf(tp_hAPP_f394183983on_val,type,
    hAPP_f394183983on_val: $i > $i > $i ).

thf(tp_hAPP_f396019662l_bool,type,
    hAPP_f396019662l_bool: $i > $i > $i ).

thf(tp_hAPP_f399538905l_bool,type,
    hAPP_f399538905l_bool: $i > $i > $i ).

thf(tp_hAPP_f40221303l_bool,type,
    hAPP_f40221303l_bool: $i > $i > $i ).

thf(tp_hAPP_f414190381l_bool,type,
    hAPP_f414190381l_bool: $i > $i > $i ).

thf(tp_hAPP_f416690673l_bool,type,
    hAPP_f416690673l_bool: $i > $i > $i ).

thf(tp_hAPP_f42352062l_bool,type,
    hAPP_f42352062l_bool: $i > $i > $i ).

thf(tp_hAPP_f439412817l_bool,type,
    hAPP_f439412817l_bool: $i > $i > $i ).

thf(tp_hAPP_f444383845l_bool,type,
    hAPP_f444383845l_bool: $i > $i > $i ).

thf(tp_hAPP_f451093418l_bool,type,
    hAPP_f451093418l_bool: $i > $i > $i ).

thf(tp_hAPP_f468299289l_bool,type,
    hAPP_f468299289l_bool: $i > $i > $i ).

thf(tp_hAPP_f477896859t_bool,type,
    hAPP_f477896859t_bool: $i > $i > $i ).

thf(tp_hAPP_f48091733on_val,type,
    hAPP_f48091733on_val: $i > $i > $i ).

thf(tp_hAPP_f489055607l_bool,type,
    hAPP_f489055607l_bool: $i > $i > $i ).

thf(tp_hAPP_f496905015l_bool,type,
    hAPP_f496905015l_bool: $i > $i > $i ).

thf(tp_hAPP_f497008323l_bool,type,
    hAPP_f497008323l_bool: $i > $i > $i ).

thf(tp_hAPP_f499947099l_bool,type,
    hAPP_f499947099l_bool: $i > $i > $i ).

thf(tp_hAPP_f507696695l_bool,type,
    hAPP_f507696695l_bool: $i > $i > $i ).

thf(tp_hAPP_f516738477l_bool,type,
    hAPP_f516738477l_bool: $i > $i > $i ).

thf(tp_hAPP_f522522333l_bool,type,
    hAPP_f522522333l_bool: $i > $i > $i ).

thf(tp_hAPP_f524589473l_bool,type,
    hAPP_f524589473l_bool: $i > $i > $i ).

thf(tp_hAPP_f546724245l_bool,type,
    hAPP_f546724245l_bool: $i > $i > $i ).

thf(tp_hAPP_f550652027l_bool,type,
    hAPP_f550652027l_bool: $i > $i > $i ).

thf(tp_hAPP_f555424277l_bool,type,
    hAPP_f555424277l_bool: $i > $i > $i ).

thf(tp_hAPP_f57041375l_bool,type,
    hAPP_f57041375l_bool: $i > $i > $i ).

thf(tp_hAPP_f592397849l_bool,type,
    hAPP_f592397849l_bool: $i > $i > $i ).

thf(tp_hAPP_f600512025on_val,type,
    hAPP_f600512025on_val: $i > $i > $i ).

thf(tp_hAPP_f602593190on_val,type,
    hAPP_f602593190on_val: $i > $i > $i ).

thf(tp_hAPP_f603925568l_bool,type,
    hAPP_f603925568l_bool: $i > $i > $i ).

thf(tp_hAPP_f61040418l_bool,type,
    hAPP_f61040418l_bool: $i > $i > $i ).

thf(tp_hAPP_f61570481t_bool,type,
    hAPP_f61570481t_bool: $i > $i > $i ).

thf(tp_hAPP_f624730965l_bool,type,
    hAPP_f624730965l_bool: $i > $i > $i ).

thf(tp_hAPP_f630712985l_bool,type,
    hAPP_f630712985l_bool: $i > $i > $i ).

thf(tp_hAPP_f635218277l_bool,type,
    hAPP_f635218277l_bool: $i > $i > $i ).

thf(tp_hAPP_f639265145l_bool,type,
    hAPP_f639265145l_bool: $i > $i > $i ).

thf(tp_hAPP_f641257349l_bool,type,
    hAPP_f641257349l_bool: $i > $i > $i ).

thf(tp_hAPP_f647637603l_bool,type,
    hAPP_f647637603l_bool: $i > $i > $i ).

thf(tp_hAPP_f653692369l_bool,type,
    hAPP_f653692369l_bool: $i > $i > $i ).

thf(tp_hAPP_f653851379l_bool,type,
    hAPP_f653851379l_bool: $i > $i > $i ).

thf(tp_hAPP_f664873147l_bool,type,
    hAPP_f664873147l_bool: $i > $i > $i ).

thf(tp_hAPP_f702440703l_bool,type,
    hAPP_f702440703l_bool: $i > $i > $i ).

thf(tp_hAPP_f727795555l_bool,type,
    hAPP_f727795555l_bool: $i > $i > $i ).

thf(tp_hAPP_f737710471r_bool,type,
    hAPP_f737710471r_bool: $i > $i > $i ).

thf(tp_hAPP_f745235151t_bool,type,
    hAPP_f745235151t_bool: $i > $i > $i ).

thf(tp_hAPP_f774767491r_bool,type,
    hAPP_f774767491r_bool: $i > $i > $i ).

thf(tp_hAPP_f775361359r_bool,type,
    hAPP_f775361359r_bool: $i > $i > $i ).

thf(tp_hAPP_f781588360l_bool,type,
    hAPP_f781588360l_bool: $i > $i > $i ).

thf(tp_hAPP_f800545225l_bool,type,
    hAPP_f800545225l_bool: $i > $i > $i ).

thf(tp_hAPP_f802896187l_bool,type,
    hAPP_f802896187l_bool: $i > $i > $i ).

thf(tp_hAPP_f820838927l_bool,type,
    hAPP_f820838927l_bool: $i > $i > $i ).

thf(tp_hAPP_f828778154l_bool,type,
    hAPP_f828778154l_bool: $i > $i > $i ).

thf(tp_hAPP_f833559503l_bool,type,
    hAPP_f833559503l_bool: $i > $i > $i ).

thf(tp_hAPP_f838396643l_bool,type,
    hAPP_f838396643l_bool: $i > $i > $i ).

thf(tp_hAPP_f850751421l_bool,type,
    hAPP_f850751421l_bool: $i > $i > $i ).

thf(tp_hAPP_f854417517l_bool,type,
    hAPP_f854417517l_bool: $i > $i > $i ).

thf(tp_hAPP_f857351829l_bool,type,
    hAPP_f857351829l_bool: $i > $i > $i ).

thf(tp_hAPP_f881985847l_bool,type,
    hAPP_f881985847l_bool: $i > $i > $i ).

thf(tp_hAPP_f8993627l_bool,type,
    hAPP_f8993627l_bool: $i > $i > $i ).

thf(tp_hAPP_f900686428on_val,type,
    hAPP_f900686428on_val: $i > $i > $i ).

thf(tp_hAPP_f902010623al_val,type,
    hAPP_f902010623al_val: $i > $i > $i ).

thf(tp_hAPP_f902521097l_bool,type,
    hAPP_f902521097l_bool: $i > $i > $i ).

thf(tp_hAPP_f910354125l_bool,type,
    hAPP_f910354125l_bool: $i > $i > $i ).

thf(tp_hAPP_f917296015l_bool,type,
    hAPP_f917296015l_bool: $i > $i > $i ).

thf(tp_hAPP_f926562337l_bool,type,
    hAPP_f926562337l_bool: $i > $i > $i ).

thf(tp_hAPP_f927043595l_bool,type,
    hAPP_f927043595l_bool: $i > $i > $i ).

thf(tp_hAPP_f928795841al_val,type,
    hAPP_f928795841al_val: $i > $i > $i ).

thf(tp_hAPP_f953970029l_bool,type,
    hAPP_f953970029l_bool: $i > $i > $i ).

thf(tp_hAPP_f967695645l_bool,type,
    hAPP_f967695645l_bool: $i > $i > $i ).

thf(tp_hAPP_f990102836r_bool,type,
    hAPP_f990102836r_bool: $i > $i > $i ).

thf(tp_hAPP_f998724171on_val,type,
    hAPP_f998724171on_val: $i > $i > $i ).

thf(tp_hAPP_l1064716406r_bool,type,
    hAPP_l1064716406r_bool: $i > $i > $i ).

thf(tp_hAPP_l1110132679l_bool,type,
    hAPP_l1110132679l_bool: $i > $i > $i ).

thf(tp_hAPP_l1278066386l_bool,type,
    hAPP_l1278066386l_bool: $i > $i > $i ).

thf(tp_hAPP_l1288616506r_bool,type,
    hAPP_l1288616506r_bool: $i > $i > $i ).

thf(tp_hAPP_l1294179937l_bool,type,
    hAPP_l1294179937l_bool: $i > $i > $i ).

thf(tp_hAPP_l130580829l_bool,type,
    hAPP_l130580829l_bool: $i > $i > $i ).

thf(tp_hAPP_l1361600383r_bool,type,
    hAPP_l1361600383r_bool: $i > $i > $i ).

thf(tp_hAPP_l1369340754l_bool,type,
    hAPP_l1369340754l_bool: $i > $i > $i ).

thf(tp_hAPP_l1460960191t_bool,type,
    hAPP_l1460960191t_bool: $i > $i > $i ).

thf(tp_hAPP_l1691929923t_bool,type,
    hAPP_l1691929923t_bool: $i > $i > $i ).

thf(tp_hAPP_l1694815232l_bool,type,
    hAPP_l1694815232l_bool: $i > $i > $i ).

thf(tp_hAPP_l1778295065r_bool,type,
    hAPP_l1778295065r_bool: $i > $i > $i ).

thf(tp_hAPP_l1786340417on_val,type,
    hAPP_l1786340417on_val: $i > $i > $i ).

thf(tp_hAPP_l1930116514t_bool,type,
    hAPP_l1930116514t_bool: $i > $i > $i ).

thf(tp_hAPP_l195239522on_val,type,
    hAPP_l195239522on_val: $i > $i > $i ).

thf(tp_hAPP_l2054741776r_bool,type,
    hAPP_l2054741776r_bool: $i > $i > $i ).

thf(tp_hAPP_l207779698on_val,type,
    hAPP_l207779698on_val: $i > $i > $i ).

thf(tp_hAPP_l208357873t_char,type,
    hAPP_l208357873t_char: $i > $i > $i ).

thf(tp_hAPP_l2100324114t_char,type,
    hAPP_l2100324114t_char: $i > $i > $i ).

thf(tp_hAPP_l2138409430r_bool,type,
    hAPP_l2138409430r_bool: $i > $i > $i ).

thf(tp_hAPP_l221195696on_val,type,
    hAPP_l221195696on_val: $i > $i > $i ).

thf(tp_hAPP_l256041150l_bool,type,
    hAPP_l256041150l_bool: $i > $i > $i ).

thf(tp_hAPP_l258171825l_bool,type,
    hAPP_l258171825l_bool: $i > $i > $i ).

thf(tp_hAPP_l287304753l_bool,type,
    hAPP_l287304753l_bool: $i > $i > $i ).

thf(tp_hAPP_l313577550l_bool,type,
    hAPP_l313577550l_bool: $i > $i > $i ).

thf(tp_hAPP_l465799708l_bool,type,
    hAPP_l465799708l_bool: $i > $i > $i ).

thf(tp_hAPP_l512744617ion_ty,type,
    hAPP_l512744617ion_ty: $i > $i > $i ).

thf(tp_hAPP_l5978434l_bool,type,
    hAPP_l5978434l_bool: $i > $i > $i ).

thf(tp_hAPP_l750759651l_bool,type,
    hAPP_l750759651l_bool: $i > $i > $i ).

thf(tp_hAPP_l780727270l_bool,type,
    hAPP_l780727270l_bool: $i > $i > $i ).

thf(tp_hAPP_l803240415l_bool,type,
    hAPP_l803240415l_bool: $i > $i > $i ).

thf(tp_hAPP_l80874262on_val,type,
    hAPP_l80874262on_val: $i > $i > $i ).

thf(tp_hAPP_l867549837on_val,type,
    hAPP_l867549837on_val: $i > $i > $i ).

thf(tp_hAPP_l989484238l_bool,type,
    hAPP_l989484238l_bool: $i > $i > $i ).

thf(tp_hAPP_list_char_bool,type,
    hAPP_list_char_bool: $i > $i > $i ).

thf(tp_hAPP_n2063106924r_bool,type,
    hAPP_n2063106924r_bool: $i > $i > $i ).

thf(tp_hAPP_n546249108on_val,type,
    hAPP_n546249108on_val: $i > $i > $i ).

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

thf(tp_hAPP_nat_option_ty,type,
    hAPP_nat_option_ty: $i > $i > $i ).

thf(tp_hAPP_nat_option_val,type,
    hAPP_nat_option_val: $i > $i > $i ).

thf(tp_hAPP_ty_option_ty,type,
    hAPP_ty_option_ty: $i > $i > $i ).

thf(tp_hAPP_v1173428276on_val,type,
    hAPP_v1173428276on_val: $i > $i > $i ).

thf(tp_hAPP_v1285778436l_bool,type,
    hAPP_v1285778436l_bool: $i > $i > $i ).

thf(tp_hAPP_v1392248405l_bool,type,
    hAPP_v1392248405l_bool: $i > $i > $i ).

thf(tp_hAPP_v1499173912l_bool,type,
    hAPP_v1499173912l_bool: $i > $i > $i ).

thf(tp_hAPP_v1519391al_val,type,
    hAPP_v1519391al_val: $i > $i > $i ).

thf(tp_hAPP_v1688016564l_bool,type,
    hAPP_v1688016564l_bool: $i > $i > $i ).

thf(tp_hAPP_v1739888647l_bool,type,
    hAPP_v1739888647l_bool: $i > $i > $i ).

thf(tp_hAPP_v1775873509l_bool,type,
    hAPP_v1775873509l_bool: $i > $i > $i ).

thf(tp_hAPP_v1814257440r_bool,type,
    hAPP_v1814257440r_bool: $i > $i > $i ).

thf(tp_hAPP_v1921713543l_bool,type,
    hAPP_v1921713543l_bool: $i > $i > $i ).

thf(tp_hAPP_v1940296605r_bool,type,
    hAPP_v1940296605r_bool: $i > $i > $i ).

thf(tp_hAPP_v2145502215l_bool,type,
    hAPP_v2145502215l_bool: $i > $i > $i ).

thf(tp_hAPP_v572032837l_bool,type,
    hAPP_v572032837l_bool: $i > $i > $i ).

thf(tp_hAPP_v618097829t_bool,type,
    hAPP_v618097829t_bool: $i > $i > $i ).

thf(tp_hAPP_v620871016l_bool,type,
    hAPP_v620871016l_bool: $i > $i > $i ).

thf(tp_hAPP_v852496844al_val,type,
    hAPP_v852496844al_val: $i > $i > $i ).

thf(tp_hAPP_v897668472t_bool,type,
    hAPP_v897668472t_bool: $i > $i > $i ).

thf(tp_hAPP_v906492983on_val,type,
    hAPP_v906492983on_val: $i > $i > $i ).

thf(tp_hAPP_v958864436l_bool,type,
    hAPP_v958864436l_bool: $i > $i > $i ).

thf(tp_hAPP_val_bool,type,
    hAPP_val_bool: $i > $i > $i ).

thf(tp_hAPP_val_option_val,type,
    hAPP_val_option_val: $i > $i > $i ).

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

thf(tp_h_a,type,
    h_a: $i ).

thf(tp_ha,type,
    ha: $i ).

thf(tp_has_fi1183600461t_char,type,
    has_fi1183600461t_char: $i > $i > $i > $i > $i ).

thf(tp_hconf_97414254t_char,type,
    hconf_97414254t_char: $i > $i ).

thf(tp_hext,type,
    hext: $i > $i > $i ).

thf(tp_hp,type,
    hp: $i > $i ).

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

thf(tp_is_bop,type,
    is_bop: $i > $o ).

thf(tp_is_cla570604648t_char,type,
    is_cla570604648t_char: $i > $i ).

thf(tp_is_refT,type,
    is_refT: $i > $i ).

thf(tp_lAss_list_char,type,
    lAss_list_char: $i > $i > $i ).

thf(tp_l_a,type,
    l_a: $i ).

thf(tp_la,type,
    la: $i ).

thf(tp_lconf_496643946t_char,type,
    lconf_496643946t_char: $i > $i ).

thf(tp_map_ad1139121712al_val,type,
    map_ad1139121712al_val: $i > $i > $i ).

thf(tp_map_ad1185064968ar_val,type,
    map_ad1185064968ar_val: $i > $i > $i ).

thf(tp_map_ad1209909133r_bool,type,
    map_ad1209909133r_bool: $i > $i > $i ).

thf(tp_map_ad1263605142al_val,type,
    map_ad1263605142al_val: $i > $i > $i ).

thf(tp_map_ad1402016615val_ty,type,
    map_ad1402016615val_ty: $i > $i > $i ).

thf(tp_map_ad1443463365al_val,type,
    map_ad1443463365al_val: $i > $i > $i ).

thf(tp_map_ad1572886776r_bool,type,
    map_ad1572886776r_bool: $i > $i > $i ).

thf(tp_map_ad1655582893r_bool,type,
    map_ad1655582893r_bool: $i > $i > $i ).

thf(tp_map_ad172895647r_bool,type,
    map_ad172895647r_bool: $i > $i > $i ).

thf(tp_map_ad1808327055al_val,type,
    map_ad1808327055al_val: $i > $i > $i ).

thf(tp_map_ad181331206on_val,type,
    map_ad181331206on_val: $i > $i > $i ).

thf(tp_map_ad1863687646r_bool,type,
    map_ad1863687646r_bool: $i > $i > $i ).

thf(tp_map_ad1877333574val_ty,type,
    map_ad1877333574val_ty: $i > $i > $i ).

thf(tp_map_ad1982313927on_val,type,
    map_ad1982313927on_val: $i > $i > $i ).

thf(tp_map_ad2023008343r_bool,type,
    map_ad2023008343r_bool: $i > $i > $i ).

thf(tp_map_ad2048931253on_val,type,
    map_ad2048931253on_val: $i > $i > $i ).

thf(tp_map_ad2099161878al_val,type,
    map_ad2099161878al_val: $i > $i > $i ).

thf(tp_map_ad325961431ar_val,type,
    map_ad325961431ar_val: $i > $i > $i ).

thf(tp_map_ad435015558on_val,type,
    map_ad435015558on_val: $i > $i > $i ).

thf(tp_map_ad451392333val_ty,type,
    map_ad451392333val_ty: $i > $i > $i ).

thf(tp_map_ad478808158r_bool,type,
    map_ad478808158r_bool: $i > $i > $i ).

thf(tp_map_ad564247072on_val,type,
    map_ad564247072on_val: $i > $i > $i ).

thf(tp_map_ad61982421on_val,type,
    map_ad61982421on_val: $i > $i > $i ).

thf(tp_map_ad689713276val_ty,type,
    map_ad689713276val_ty: $i > $i > $i ).

thf(tp_map_ad784656511on_val,type,
    map_ad784656511on_val: $i > $i > $i ).

thf(tp_map_ad860315085val_ty,type,
    map_ad860315085val_ty: $i > $i > $i ).

thf(tp_map_add_list_char_ty,type,
    map_add_list_char_ty: $i > $i > $i ).

thf(tp_map_add_nat_ty,type,
    map_add_nat_ty: $i > $i > $i ).

thf(tp_map_add_nat_val,type,
    map_add_nat_val: $i > $i > $i ).

thf(tp_member1251428284t_char,type,
    member1251428284t_char: $i > $i > $i ).

thf(tp_member1417904245al_val,type,
    member1417904245al_val: $i > $i > $i ).

thf(tp_member1542417277on_val,type,
    member1542417277on_val: $i > $i > $i ).

thf(tp_member649088532al_val,type,
    member649088532al_val: $i > $i > $i ).

thf(tp_member763590124on_val,type,
    member763590124on_val: $i > $i > $i ).

thf(tp_member773094996on_val,type,
    member773094996on_val: $i > $i > $i ).

thf(tp_member840932460on_val,type,
    member840932460on_val: $i > $i > $i ).

thf(tp_member_list_char,type,
    member_list_char: $i > $i > $i ).

thf(tp_member_nat,type,
    member_nat: $i > $i > $i ).

thf(tp_none_P179726773on_val,type,
    none_P179726773on_val: $i ).

thf(tp_none_val,type,
    none_val: $i ).

thf(tp_nt,type,
    nt: $i ).

thf(tp_null,type,
    null: $i ).

thf(tp_nullPointer,type,
    nullPointer: $i ).

thf(tp_oconf_1869808039t_char,type,
    oconf_1869808039t_char: $i > $i > $i ).

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

thf(tp_produc1003071703on_val,type,
    produc1003071703on_val: $i ).

thf(tp_produc10100002l_bool,type,
    produc10100002l_bool: $i ).

thf(tp_produc107777033l_bool,type,
    produc107777033l_bool: $i ).

thf(tp_produc111276146r_bool,type,
    produc111276146r_bool: $i ).

thf(tp_produc1148763895on_val,type,
    produc1148763895on_val: $i ).

thf(tp_produc1159035454l_bool,type,
    produc1159035454l_bool: $i > $i ).

thf(tp_produc1174947465on_val,type,
    produc1174947465on_val: $i ).

thf(tp_produc1205785024r_bool,type,
    produc1205785024r_bool: $i ).

thf(tp_produc121041439l_bool,type,
    produc121041439l_bool: $i ).

thf(tp_produc1215886546r_bool,type,
    produc1215886546r_bool: $i ).

thf(tp_produc1231332391l_bool,type,
    produc1231332391l_bool: $i ).

thf(tp_produc1259058957on_val,type,
    produc1259058957on_val: $i ).

thf(tp_produc1260869559al_val,type,
    produc1260869559al_val: $i ).

thf(tp_produc1267303057l_bool,type,
    produc1267303057l_bool: $i ).

thf(tp_produc1275132703l_bool,type,
    produc1275132703l_bool: $i ).

thf(tp_produc1282419105t_bool,type,
    produc1282419105t_bool: $i ).

thf(tp_produc1289468263l_bool,type,
    produc1289468263l_bool: $i ).

thf(tp_produc1326056646l_bool,type,
    produc1326056646l_bool: $i ).

thf(tp_produc1401528596l_bool,type,
    produc1401528596l_bool: $i ).

thf(tp_produc1428203216l_bool,type,
    produc1428203216l_bool: $i ).

thf(tp_produc1441475159on_val,type,
    produc1441475159on_val: $i ).

thf(tp_produc1512975096l_bool,type,
    produc1512975096l_bool: $i ).

thf(tp_produc1552159258l_bool,type,
    produc1552159258l_bool: $i ).

thf(tp_produc155418000t_bool,type,
    produc155418000t_bool: $i ).

thf(tp_produc1555310053l_bool,type,
    produc1555310053l_bool: $i > $i ).

thf(tp_produc1596270113l_bool,type,
    produc1596270113l_bool: $i ).

thf(tp_produc1704639885r_bool,type,
    produc1704639885r_bool: $i ).

thf(tp_produc1722298385l_bool,type,
    produc1722298385l_bool: $i ).

thf(tp_produc1741654153l_bool,type,
    produc1741654153l_bool: $i ).

thf(tp_produc1759631162l_bool,type,
    produc1759631162l_bool: $i ).

thf(tp_produc1779501634r_bool,type,
    produc1779501634r_bool: $i ).

thf(tp_produc1780328409r_bool,type,
    produc1780328409r_bool: $i ).

thf(tp_produc1810874273r_bool,type,
    produc1810874273r_bool: $i ).

thf(tp_produc1812634928l_bool,type,
    produc1812634928l_bool: $i ).

thf(tp_produc1815960045l_bool,type,
    produc1815960045l_bool: $i ).

thf(tp_produc1837990498l_bool,type,
    produc1837990498l_bool: $i ).

thf(tp_produc1911463199l_bool,type,
    produc1911463199l_bool: $i ).

thf(tp_produc1911975310l_bool,type,
    produc1911975310l_bool: $i > $i ).

thf(tp_produc1925718841l_bool,type,
    produc1925718841l_bool: $i ).

thf(tp_produc1958875245l_bool,type,
    produc1958875245l_bool: $i ).

thf(tp_produc1973453616l_bool,type,
    produc1973453616l_bool: $i ).

thf(tp_produc1988544340l_bool,type,
    produc1988544340l_bool: $i ).

thf(tp_produc1994406320l_bool,type,
    produc1994406320l_bool: $i ).

thf(tp_produc20018513l_bool,type,
    produc20018513l_bool: $i ).

thf(tp_produc2036005791l_bool,type,
    produc2036005791l_bool: $i ).

thf(tp_produc2062775566l_bool,type,
    produc2062775566l_bool: $i > $i ).

thf(tp_produc2075733823l_bool,type,
    produc2075733823l_bool: $i ).

thf(tp_produc2098256560t_bool,type,
    produc2098256560t_bool: $i ).

thf(tp_produc2102986512t_bool,type,
    produc2102986512t_bool: $i ).

thf(tp_produc2128769400l_bool,type,
    produc2128769400l_bool: $i ).

thf(tp_produc226467351on_val,type,
    produc226467351on_val: $i ).

thf(tp_produc234747160al_val,type,
    produc234747160al_val: $i ).

thf(tp_produc240246489l_bool,type,
    produc240246489l_bool: $i ).

thf(tp_produc278452722r_bool,type,
    produc278452722r_bool: $i ).

thf(tp_produc286289338l_bool,type,
    produc286289338l_bool: $i ).

thf(tp_produc301664320l_bool,type,
    produc301664320l_bool: $i ).

thf(tp_produc334393759l_bool,type,
    produc334393759l_bool: $i ).

thf(tp_produc367277545l_bool,type,
    produc367277545l_bool: $i ).

thf(tp_produc376702929l_bool,type,
    produc376702929l_bool: $i ).

thf(tp_produc392960766l_bool,type,
    produc392960766l_bool: $i ).

thf(tp_produc399384568l_bool,type,
    produc399384568l_bool: $i ).

thf(tp_produc445472770t_bool,type,
    produc445472770t_bool: $i ).

thf(tp_produc457808617on_val,type,
    produc457808617on_val: $i ).

thf(tp_produc481748255l_bool,type,
    produc481748255l_bool: $i > $i ).

thf(tp_produc5062597t_char,type,
    produc5062597t_char: $i ).

thf(tp_produc530227576l_bool,type,
    produc530227576l_bool: $i ).

thf(tp_produc576623071t_char,type,
    produc576623071t_char: $i ).

thf(tp_produc621191550al_val,type,
    produc621191550al_val: $i ).

thf(tp_produc636580408on_val,type,
    produc636580408on_val: $i ).

thf(tp_produc654114665t_bool,type,
    produc654114665t_bool: $i ).

thf(tp_produc655738969l_bool,type,
    produc655738969l_bool: $i ).

thf(tp_produc726689536r_bool,type,
    produc726689536r_bool: $i ).

thf(tp_produc737906696l_bool,type,
    produc737906696l_bool: $i ).

thf(tp_produc769963999l_bool,type,
    produc769963999l_bool: $i ).

thf(tp_produc778642754t_bool,type,
    produc778642754t_bool: $i ).

thf(tp_produc820564232l_bool,type,
    produc820564232l_bool: $i ).

thf(tp_produc823076510on_val,type,
    produc823076510on_val: $i ).

thf(tp_produc828791728l_bool,type,
    produc828791728l_bool: $i ).

thf(tp_produc848137919l_bool,type,
    produc848137919l_bool: $i ).

thf(tp_produc85367547l_bool,type,
    produc85367547l_bool: $i ).

thf(tp_produc877244993l_bool,type,
    produc877244993l_bool: $i ).

thf(tp_produc886919678l_bool,type,
    produc886919678l_bool: $i > $i ).

thf(tp_produc899768717on_val,type,
    produc899768717on_val: $i ).

thf(tp_produc901351817on_val,type,
    produc901351817on_val: $i ).

thf(tp_produc928527642on_val,type,
    produc928527642on_val: $i ).

thf(tp_produc95371820r_bool,type,
    produc95371820r_bool: $i > $i ).

thf(tp_produc970139208l_bool,type,
    produc970139208l_bool: $i ).

thf(tp_produc996400752on_val,type,
    produc996400752on_val: $i ).

thf(tp_product_Pair_val_val,type,
    product_Pair_val_val: $i ).

thf(tp_red,type,
    red: $i > $i ).

thf(tp_redp,type,
    redp: $i > $i > $i > $i ).

thf(tp_sK10_X1,type,
    sK10_X1: $i > $i ).

thf(tp_sK11_A,type,
    sK11_A: $i > $i ).

thf(tp_sK12_SY855,type,
    sK12_SY855: $i > $i ).

thf(tp_sK13_X1,type,
    sK13_X1: $i > $i ).

thf(tp_sK14_A,type,
    sK14_A: $i > $i ).

thf(tp_sK15_SY856,type,
    sK15_SY856: $i > $i ).

thf(tp_sK16_X_2,type,
    sK16_X_2: $i > $i ).

thf(tp_sK17_SY857,type,
    sK17_SY857: $i > $i ).

thf(tp_sK18_X_2,type,
    sK18_X_2: $i > $i ).

thf(tp_sK19_SY858,type,
    sK19_SY858: $i > $i ).

thf(tp_sK1_T_r,type,
    sK1_T_r: $i > $i > $i > $i > $i ).

thf(tp_sK20_X_2,type,
    sK20_X_2: $i > $i ).

thf(tp_sK21_SY859,type,
    sK21_SY859: $i > $i ).

thf(tp_sK22_A,type,
    sK22_A: $i > $i ).

thf(tp_sK23_SY860,type,
    sK23_SY860: $i > $i ).

thf(tp_sK24_A,type,
    sK24_A: $i > $i ).

thf(tp_sK25_SY861,type,
    sK25_SY861: $i > $i ).

thf(tp_sK26_A,type,
    sK26_A: $i > $i ).

thf(tp_sK27_SY862,type,
    sK27_SY862: $i > $i ).

thf(tp_sK28_X_2,type,
    sK28_X_2: $i > $i > $i ).

thf(tp_sK29_SY863,type,
    sK29_SY863: $i > $i > $i ).

thf(tp_sK2_V_3,type,
    sK2_V_3: $i > $i > $i ).

thf(tp_sK30_X_2,type,
    sK30_X_2: $i > $i > $i ).

thf(tp_sK31_SY864,type,
    sK31_SY864: $i > $i > $i ).

thf(tp_sK32_X_2,type,
    sK32_X_2: $i > $i > $i ).

thf(tp_sK33_SY865,type,
    sK33_SY865: $i > $i > $i ).

thf(tp_sK34_A,type,
    sK34_A: $i > $i > $i ).

thf(tp_sK35_SY866,type,
    sK35_SY866: $i > $i > $i ).

thf(tp_sK36_SY868,type,
    sK36_SY868: $i > $i > $i ).

thf(tp_sK37_A,type,
    sK37_A: $i > $i > $i ).

thf(tp_sK38_SY869,type,
    sK38_SY869: $i > $i > $i ).

thf(tp_sK39_SY871,type,
    sK39_SY871: $i > $i > $i ).

thf(tp_sK3_SY853,type,
    sK3_SY853: $i > $i > $i ).

thf(tp_sK40_A,type,
    sK40_A: $i > $i ).

thf(tp_sK41_SY872,type,
    sK41_SY872: $i > $i ).

thf(tp_sK42_SY874,type,
    sK42_SY874: $i > $i ).

thf(tp_sK43_A,type,
    sK43_A: $i > $i ).

thf(tp_sK44_SY875,type,
    sK44_SY875: $i > $i ).

thf(tp_sK45_SY877,type,
    sK45_SY877: $i > $i ).

thf(tp_sK46_A,type,
    sK46_A: $i > $i ).

thf(tp_sK47_SY878,type,
    sK47_SY878: $i > $i ).

thf(tp_sK48_X1,type,
    sK48_X1: $i > $i ).

thf(tp_sK49_A,type,
    sK49_A: $i > $i ).

thf(tp_sK4_B_1,type,
    sK4_B_1: $i > $i > $i ).

thf(tp_sK50_SY879,type,
    sK50_SY879: $i > $i ).

thf(tp_sK51_X1,type,
    sK51_X1: $i > $i ).

thf(tp_sK52_A,type,
    sK52_A: $i > $i ).

thf(tp_sK53_SY880,type,
    sK53_SY880: $i > $i ).

thf(tp_sK54_X1,type,
    sK54_X1: $i > $i ).

thf(tp_sK55_A,type,
    sK55_A: $i > $i ).

thf(tp_sK56_SY881,type,
    sK56_SY881: $i > $i ).

thf(tp_sK57_SY884,type,
    sK57_SY884: $i > $i ).

thf(tp_sK58_SY886,type,
    sK58_SY886: $i > $i ).

thf(tp_sK59_A,type,
    sK59_A: $i > $i > $i ).

thf(tp_sK5_B_1,type,
    sK5_B_1: $i > $i > $i ).

thf(tp_sK60_SY887,type,
    sK60_SY887: $i > $i > $i ).

thf(tp_sK61_SY890,type,
    sK61_SY890: $i > $i > $i ).

thf(tp_sK62_SY892,type,
    sK62_SY892: $i > $i > $i ).

thf(tp_sK6_T_3,type,
    sK6_T_3: $i > $i > $i ).

thf(tp_sK7_X1,type,
    sK7_X1: $i > $i ).

thf(tp_sK8_A,type,
    sK8_A: $i > $i ).

thf(tp_sK9_SY854,type,
    sK9_SY854: $i > $i ).

thf(tp_seq_list_char,type,
    seq_list_char: $i > $i > $i ).

thf(tp_some_P948696889on_val,type,
    some_P948696889on_val: $i ).

thf(tp_some_f80346385r_bool,type,
    some_f80346385r_bool: $i ).

thf(tp_some_ty,type,
    some_ty: $i ).

thf(tp_some_val,type,
    some_val: $i ).

thf(tp_subcls744239332t_char,type,
    subcls744239332t_char: $i > $i ).

thf(tp_subcls851966956t_char,type,
    subcls851966956t_char: $i > $i ).

thf(tp_t,type,
    t: $i ).

thf(tp_t_1,type,
    t_1: $i ).

thf(tp_the_val,type,
    the_val: $i > $i ).

thf(tp_throw_list_char,type,
    throw_list_char: $i > $i ).

thf(tp_transi1065307915t_char,type,
    transi1065307915t_char: $i > $i ).

thf(tp_transi1395422419t_char,type,
    transi1395422419t_char: $i > $i ).

thf(tp_transi2024712006on_val,type,
    transi2024712006on_val: $i > $i ).

thf(tp_tryCatch_list_char,type,
    tryCatch_list_char: $i > $i > $i > $i > $i ).

thf(tp_typeSa807100911_sconf,type,
    typeSa807100911_sconf: $i > $i > $i ).

thf(tp_undefined_bop,type,
    undefined_bop: $i > $i ).

thf(tp_unit,type,
    unit: $i ).

thf(tp_v,type,
    v: $i ).

thf(tp_v_1,type,
    v_1: $i ).

thf(tp_v_2,type,
    v_2: $i ).

thf(tp_val_list_char,type,
    val_list_char: $i > $i ).

thf(tp_void,type,
    void: $i ).

thf(tp_wTrt,type,
    wTrt: $i > $i > $i > $i > $i > $i ).

thf(tp_wf_J_mdecl,type,
    wf_J_mdecl: $i ).

thf(tp_wf_pro755087577t_char,type,
    wf_pro755087577t_char: $i > $i > $i ).

thf(tp_while_list_char,type,
    while_list_char: $i > $i > $i ).

thf(tp_widen_2090681816t_char,type,
    widen_2090681816t_char: $i > $i > $i > $i ).

thf(tp_wwf_J_mdecl,type,
    wwf_J_mdecl: $i ).

thf(61,axiom,
    ! [P: $i] :
      ( ( is_bool @ P )
     => ( ( P = fTrue )
        | ( P = fFalse ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).

thf(62,axiom,
    ~ ( hBOOL @ fFalse ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).

thf(70,axiom,
    ! [Bool: $i,Nat: $i] :
      ( ( bool @ Bool )
     != ( addr @ Nat ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_695_val_Osimps_I20_J) ).

thf(71,axiom,
    ! [Nat: $i,Bool: $i] :
      ( ( addr @ Nat )
     != ( bool @ Bool ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_694_val_Osimps_I21_J) ).

thf(72,axiom,
    ! [Bool_1: $i] :
      ( ( bool @ Bool_1 )
     != unit ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_693_val_Osimps_I7_J) ).

thf(73,axiom,
    ! [Bool_1: $i] :
      ( unit
     != ( bool @ Bool_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_692_val_Osimps_I6_J) ).

thf(74,axiom,
    ! [Bool: $i,Bool_1: $i] :
      ( ( ( bool @ Bool )
        = ( bool @ Bool_1 ) )
    <=> ( ( hBOOL @ Bool )
      <=> ( hBOOL @ Bool_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_691_val_Osimps_I1_J) ).

thf(75,axiom,
    ! [Bool_1: $i] :
      ( ( bool @ Bool_1 )
     != null ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_690_val_Osimps_I13_J) ).

thf(76,axiom,
    ! [Bool_1: $i] :
      ( null
     != ( bool @ Bool_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_689_val_Osimps_I12_J) ).

thf(91,axiom,
    ! [Bop: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ Eb @ Bop @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_674_BinOpRedsThrow1) ).

thf(92,axiom,
    ! [Va: $i,Bop: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ Va ) @ Bop @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ Va ) @ Bop @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_673_BinOp2Reds) ).

thf(93,axiom,
    ! [V_1: $i,Bop: $i,Eb: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ V_1 ) @ Bop @ ( throw_list_char @ Eb ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_672_red__reds_OBinOpThrow2) ).

thf(94,axiom,
    ! [Bop: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ Eb @ Bop @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_b @ Bop @ E_2 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_671_BinOp1Reds) ).

thf(95,axiom,
    ! [Eb: $i,Bop: $i,E_2: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( throw_list_char @ Eb ) @ Bop @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_670_red__reds_OBinOpThrow1) ).

thf(96,axiom,
    ! [V_1: $i,Bop: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ V_1 ) @ Bop @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ V_1 ) @ Bop @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_669_red__reds_OBinOpRed2) ).

thf(99,axiom,
    ! [Bop: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ Eb @ Bop @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_b @ Bop @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_666_red__reds_OBinOpRed1) ).

thf(104,axiom,
    ! [Bop: $i,E_2: $i,Eb: $i,S_2_1: $i,E_1: $i,S_0: $i,V_1: $i,S_1: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_1 ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ V_1 ) ) @ S_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2 ) @ S_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
       => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_1 @ Bop @ E_2 ) ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_661_BinOpRedsThrow2) ).

thf(107,axiom,
    ! [Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
      ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( throw_list_char @ Eb ) @ Ta ) )
     => ~ ! [T_r: $i] :
            ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ T_r ) )
           => ~ ( hBOOL @ ( is_refT @ T_r ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_658_WTrt__elim__cases_I4_J) ).

thf(109,axiom,
    ! [Ta: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i,T_r_1: $i] :
      ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ T_r_1 ) )
     => ( ( hBOOL @ ( is_refT @ T_r_1 ) )
       => ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( throw_list_char @ Eb ) @ Ta ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_656_WTrtThrow) ).

thf(126,axiom,
    ! [C_1: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ ( val_list_char @ null ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ S_2 ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_639_red__reds_ORedCastNull) ).

thf(130,axiom,
    ! [F: $i,D: $i,Ta: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i] :
      ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ nt ) )
     => ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( fAcc_list_char @ Eb @ F @ D ) @ Ta ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_635_WTrtFAccNT) ).

thf(139,axiom,
    ! [C_1: $i,Eb: $i,S_2: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_626_CastRedsNull) ).

thf(153,axiom,
    ! [C_1: $i,Eb: $i,S_2: $i,A_1: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_612_CastRedsThrow) ).

thf(155,axiom,
    ! [C_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_610_CastReds) ).

thf(156,axiom,
    ! [C_1: $i,Eb: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ ( throw_list_char @ Eb ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_609_red__reds_OCastThrow) ).

thf(157,axiom,
    ! [C_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_608_red__reds_OCastRed) ).

thf(169,axiom,
    ! [C_1: $i,Va_1: $i,E_2: $i,Eb: $i,S_2: $i,Va: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ Va ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C_1 @ Va_1 @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ Va ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_596_TryRedsVal) ).

thf(171,axiom,
    ! [C_1: $i,Va_1: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C_1 @ Va_1 @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ E_b @ C_1 @ Va_1 @ E_2 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_594_TryReds) ).

thf(172,axiom,
    ! [Va: $i,C_1: $i,Va_1: $i,E_2: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ ( val_list_char @ Va ) @ C_1 @ Va_1 @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ Va ) ) @ S_2 ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_593_red__reds_ORedTry) ).

thf(173,axiom,
    ! [C_1: $i,Va_1: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C_1 @ Va_1 @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ E_b @ C_1 @ Va_1 @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_592_red__reds_OTryRed) ).

thf(180,axiom,
    ! [Va_1: $i,Ta: $i,A_1: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( throw_list_char @ ( val_list_char @ ( addr @ A_1 ) ) ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ A_1 ) ) ) ) @ S_2 ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_585_red__reds_OBlockThrow) ).

thf(181,axiom,
    ! [F: $i,D: $i,E_2: $i,Eb: $i,S_2_1: $i,E_1: $i,S_0: $i,Va: $i,S_1: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_1 ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ Va ) ) @ S_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2 ) @ S_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
       => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_1 @ F @ D @ E_2 ) ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_584_FAssRedsThrow2) ).

thf(182,axiom,
    ! [F: $i,D: $i,Eb: $i,S_2: $i,A_1: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ Eb @ F @ D ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_583_FAccRedsThrow) ).

thf(183,axiom,
    ! [F: $i,D: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ Eb @ F @ D @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_582_FAssRedsThrow1) ).

thf(184,axiom,
    ! [E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ Eb @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_581_SeqRedsThrow) ).

thf(185,axiom,
    ! [Va_1: $i,Eb: $i,S_2: $i,A_1: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_580_LAssRedsThrow) ).

thf(186,axiom,
    ! [Va: $i,F: $i,D: $i,Eb: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ Va ) @ F @ D @ ( throw_list_char @ Eb ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_579_red__reds_OFAssThrow2) ).

thf(188,axiom,
    ! [Eb: $i,F: $i,D: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ ( throw_list_char @ Eb ) @ F @ D ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_577_red__reds_OFAccThrow) ).

thf(189,axiom,
    ! [Eb: $i,F: $i,D: $i,E_2: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( throw_list_char @ Eb ) @ F @ D @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_576_red__reds_OFAssThrow1) ).

thf(190,axiom,
    ! [Eb: $i,E_2: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( throw_list_char @ Eb ) @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_575_red__reds_OSeqThrow) ).

thf(191,axiom,
    ! [Va_1: $i,Eb: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ ( throw_list_char @ Eb ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_574_red__reds_OLAssThrow) ).

thf(192,axiom,
    ! [Eb: $i,S_2: $i,A_1: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_573_ThrowRedsThrow) ).

thf(193,axiom,
    ! [Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_572_ThrowReds) ).

thf(198,axiom,
    ! [Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_567_red__reds_OThrowRed) ).

thf(199,axiom,
    ! [Eb: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( throw_list_char @ Eb ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_566_red__reds_OThrowThrow) ).

thf(214,axiom,
    ! [Va_1: $i,Ta: $i,Va: $i,A_1: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ ( throw_list_char @ ( val_list_char @ ( addr @ A_1 ) ) ) ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ A_1 ) ) ) ) @ S_2 ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_551_red__reds_OInitBlockThrow) ).

thf(224,axiom,
    ! [F: $i,D: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ Eb @ F @ D ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ E_b @ F @ D ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_541_FAccReds) ).

thf(225,axiom,
    ! [F: $i,D: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ Eb @ F @ D ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ E_b @ F @ D ) ) @ S ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_540_red__reds_OFAccRed) ).

thf(234,axiom,
    ! [Va: $i,F: $i,D: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ Va ) @ F @ D @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ Va ) @ F @ D @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_531_FAssReds2) ).

thf(236,axiom,
    ! [F: $i,D: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ Eb @ F @ D @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_b @ F @ D @ E_2 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_529_FAssReds1) ).

thf(237,axiom,
    ! [Va: $i,F: $i,D: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ Va ) @ F @ D @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ Va ) @ F @ D @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_528_red__reds_OFAssRed2) ).

thf(238,axiom,
    ! [F: $i,D: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ Eb @ F @ D @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_b @ F @ D @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_527_red__reds_OFAssRed1) ).

thf(247,axiom,
    ! [Pa: $i] :
      ( ( hBOOL @ ( wf_pro755087577t_char @ wf_J_mdecl @ Pa ) )
     => ( hBOOL @ ( wf_pro755087577t_char @ wwf_J_mdecl @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_518_wf__prog__wwf__prog) ).

thf(251,axiom,
    ! [Va_1: $i,Eb: $i] :
      ( ( hBOOL @ ( assigned @ Va_1 @ Eb ) )
    <=> ? [V_3: $i,E_3: $i] :
          ( Eb
          = ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ V_3 ) ) @ E_3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_514_assigned__def) ).

thf(252,axiom,
    ! [Ta: $i,Eb: $i,Hb: $i,Lb: $i,Va_1: $i,Va: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( hAPP_val_option_val @ some_val @ Va ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( ( hBOOL @ ( final_list_char @ E_b ) )
       => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ Eb ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_l207779698on_val @ Lb @ Va_1 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_513_InitBlockRedsFinal) ).

thf(253,axiom,
    ! [Ta: $i,Eb: $i,Hb: $i,Lb: $i,Va_1: $i,Va: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( hAPP_val_option_val @ some_val @ Va ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ Eb ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ ( the_val @ ( hAPP_l207779698on_val @ L_b @ Va_1 ) ) ) ) @ E_b ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_l207779698on_val @ Lb @ Va_1 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_512_InitBlockReds) ).

thf(255,axiom,
    ! [L_0_1: $i,Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( map_ad325961431ar_val @ L_0_1 @ Lb ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( map_ad325961431ar_val @ L_0_1 @ L_b ) ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_510_Red__lcl__add) ).

thf(259,axiom,
    ! [E_2: $i,E_2_1: $i,S_2_1: $i,E_1: $i,S_0: $i,V_1: $i,S_1: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_1 ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ V_1 ) ) @ S_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2 ) @ S_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2_1 ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
       => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_1 @ E_2 ) ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2_1 ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_506_SeqReds2) ).

thf(261,axiom,
    ! [Va_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_504_LAssReds) ).

thf(262,axiom,
    ! [E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ Eb @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_503_SeqReds) ).

thf(270,axiom,
    ! [Va_1: $i,Eb: $i,S_2: $i,Va: $i,H_b: $i,L_b: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ Va ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_val_option_val @ some_val @ Va ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_495_LAssRedsVal) ).

thf(275,axiom,
    ! [A_2: $i,Ty: $i,Exp: $i,Exp1: $i,Exp2: $i] :
      ( ( block_list_char @ A_2 @ Ty @ Exp )
     != ( seq_list_char @ Exp1 @ Exp2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_490_exp_Osimps_I196_J) ).

thf(276,axiom,
    ! [A_4: $i,Exp_2: $i,A_3: $i,Ty_1: $i,Exp_1: $i] :
      ( ( lAss_list_char @ A_4 @ Exp_2 )
     != ( block_list_char @ A_3 @ Ty_1 @ Exp_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_489_exp_Osimps_I142_J) ).

thf(277,axiom,
    ! [Exp1_1: $i,Exp2_1: $i,A_5: $i,Ty_2: $i,Exp_3: $i] :
      ( ( seq_list_char @ Exp1_1 @ Exp2_1 )
     != ( block_list_char @ A_5 @ Ty_2 @ Exp_3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_488_exp_Osimps_I197_J) ).

thf(278,axiom,
    ! [A_6: $i,Exp_4: $i,Exp1_2: $i,Exp2_2: $i] :
      ( ( lAss_list_char @ A_6 @ Exp_4 )
     != ( seq_list_char @ Exp1_2 @ Exp2_2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_487_exp_Osimps_I144_J) ).

thf(279,axiom,
    ! [Exp1_3: $i,Exp2_3: $i,A_7: $i,Exp_5: $i] :
      ( ( seq_list_char @ Exp1_3 @ Exp2_3 )
     != ( lAss_list_char @ A_7 @ Exp_5 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_486_exp_Osimps_I145_J) ).

thf(280,axiom,
    ! [Va: $i,A_8: $i] : ( hBOOL @ ( d_list_char @ ( val_list_char @ Va ) @ A_8 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_485__092_060D_062___092_060D_062s_Osimps_I3_J) ).

thf(281,axiom,
    ! [A_9: $i,Ty_3: $i,Exp_6: $i,Val: $i] :
      ( ( block_list_char @ A_9 @ Ty_3 @ Exp_6 )
     != ( val_list_char @ Val ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_484_exp_Osimps_I83_J) ).

thf(282,axiom,
    ! [Val_1: $i,A_10: $i,Ty_4: $i,Exp_7: $i] :
      ( ( val_list_char @ Val_1 )
     != ( block_list_char @ A_10 @ Ty_4 @ Exp_7 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_483_exp_Osimps_I82_J) ).

thf(283,axiom,
    ! [A_11: $i,Exp_8: $i,Val_2: $i] :
      ( ( lAss_list_char @ A_11 @ Exp_8 )
     != ( val_list_char @ Val_2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_482_exp_Osimps_I75_J) ).

thf(284,axiom,
    ! [Exp1_4: $i,Exp2_4: $i,Val_3: $i] :
      ( ( seq_list_char @ Exp1_4 @ Exp2_4 )
     != ( val_list_char @ Val_3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_481_exp_Osimps_I85_J) ).

thf(285,axiom,
    ! [Val_4: $i,A_12: $i,Exp_9: $i] :
      ( ( val_list_char @ Val_4 )
     != ( lAss_list_char @ A_12 @ Exp_9 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_480_exp_Osimps_I74_J) ).

thf(286,axiom,
    ! [Val_5: $i,Exp1_5: $i,Exp2_5: $i] :
      ( ( val_list_char @ Val_5 )
     != ( seq_list_char @ Exp1_5 @ Exp2_5 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_479_exp_Osimps_I84_J) ).

thf(287,axiom,
    ! [A_1: $i,Ty_6: $i,Exp_11: $i,A_13: $i,Ty_5: $i,Exp_10: $i] :
      ( ( ( block_list_char @ A_1 @ Ty_6 @ Exp_11 )
        = ( block_list_char @ A_13 @ Ty_5 @ Exp_10 ) )
    <=> ( ( A_1 = A_13 )
        & ( Ty_6 = Ty_5 )
        & ( Exp_11 = Exp_10 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_478_exp_Osimps_I10_J) ).

thf(288,axiom,
    ! [A_1: $i,Exp_11: $i,A_13: $i,Exp_10: $i] :
      ( ( ( lAss_list_char @ A_1 @ Exp_11 )
        = ( lAss_list_char @ A_13 @ Exp_10 ) )
    <=> ( ( A_1 = A_13 )
        & ( Exp_11 = Exp_10 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_477_exp_Osimps_I6_J) ).

thf(289,axiom,
    ! [Exp1_7: $i,Exp2_7: $i,Exp1_6: $i,Exp2_6: $i] :
      ( ( ( seq_list_char @ Exp1_7 @ Exp2_7 )
        = ( seq_list_char @ Exp1_6 @ Exp2_6 ) )
    <=> ( ( Exp1_7 = Exp1_6 )
        & ( Exp2_7 = Exp2_6 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_476_exp_Osimps_I11_J) ).

thf(290,axiom,
    ! [Val_7: $i,Val_6: $i] :
      ( ( ( val_list_char @ Val_7 )
        = ( val_list_char @ Val_6 ) )
    <=> ( Val_7 = Val_6 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_475_exp_Osimps_I3_J) ).

thf(291,axiom,
    ! [A_15: $i,Ty_7: $i,Exp_13: $i,A_14: $i,Exp_12: $i] :
      ( ( block_list_char @ A_15 @ Ty_7 @ Exp_13 )
     != ( lAss_list_char @ A_14 @ Exp_12 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_474_exp_Osimps_I143_J) ).

thf(292,axiom,
    ! [Va_1: $i,Eb: $i,A_8: $i] :
      ( ( hBOOL @ ( d_list_char @ ( lAss_list_char @ Va_1 @ Eb ) @ A_8 ) )
    <=> ( hBOOL @ ( d_list_char @ Eb @ A_8 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_473__092_060D_062___092_060D_062s_Osimps_I6_J) ).

thf(300,axiom,
    ! [H_b: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
      ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ Ta ) )
     => ( ( hBOOL @ ( hext @ Hb @ H_b ) )
       => ( hBOOL @ ( wTrt @ Pa @ H_b @ Ea @ Eb @ Ta ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_465_WTrt__hext__mono) ).

thf(301,axiom,
    ! [H_3: $i,Hb: $i,H_b: $i] :
      ( ( hBOOL @ ( hext @ Hb @ H_b ) )
     => ( ( hBOOL @ ( hext @ H_b @ H_3 ) )
       => ( hBOOL @ ( hext @ Hb @ H_3 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_464_hext__trans) ).

thf(359,axiom,
    ! [A_1: $i,M: $i] :
      ( ( hBOOL @ ( member_list_char @ A_1 @ ( dom_list_char_val @ M ) ) )
     => ? [B_1: $i] :
          ( ( hAPP_l207779698on_val @ M @ A_1 )
          = ( hAPP_val_option_val @ some_val @ B_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_406_domD) ).

thf(360,axiom,
    ! [A_1: $i,M: $i] :
      ( ( hBOOL @ ( member1251428284t_char @ A_1 @ ( dom_Pr695701035ar_val @ M ) ) )
     => ? [B_1: $i] :
          ( ( hAPP_P2094403585on_val @ M @ A_1 )
          = ( hAPP_val_option_val @ some_val @ B_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_405_domD) ).

thf(395,axiom,
    ! [Hb: $i] : ( hBOOL @ ( hext @ Hb @ Hb ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_370_hext__refl) ).

thf(396,axiom,
    ! [Va_1: $i,Va: $i,Hb: $i,Lb: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( hAPP_val_option_val @ some_val @ Va ) ) ) ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_369_red__reds_ORedLAss) ).

thf(398,axiom,
    ! [E_2: $i,T_2_1: $i,Pa: $i,Hb: $i,Ea: $i,E_1: $i,T_1_2: $i] :
      ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_1 @ T_1_2 ) )
     => ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_2 @ T_2_1 ) )
       => ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( seq_list_char @ E_1 @ E_2 ) @ T_2_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_367_WTrtSeq) ).

thf(422,axiom,
    ! [F_1: $i,G: $i,X_1: $i,Y_2: $i] :
      ( ( map_ad1185064968ar_val @ F_1 @ ( fun_up204312361on_val @ G @ X_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
      = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ F_1 @ G ) @ X_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_343_map__add__upd) ).

thf(425,axiom,
    ! [F_1: $i,G: $i,X_1: $i,Y_2: $i] :
      ( ( map_ad325961431ar_val @ F_1 @ ( fun_up1149430426on_val @ G @ X_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
      = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ F_1 @ G ) @ X_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_340_map__add__upd) ).

thf(440,axiom,
    ! [E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ Eb @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_325_red__reds_OSeqRed) ).

thf(441,axiom,
    ! [Va_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_324_red__reds_OLAssRed) ).

thf(442,axiom,
    ! [X_1: $i,A_8: $i] :
      ( ( hBOOL @ ( member1251428284t_char @ X_1 @ A_8 ) )
    <=> ( hBOOL @ ( hAPP_P449474095r_bool @ A_8 @ X_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_323_mem__def) ).

thf(443,axiom,
    ! [X_1: $i,A_8: $i] :
      ( ( hBOOL @ ( member773094996on_val @ X_1 @ A_8 ) )
    <=> ( hBOOL @ ( hAPP_P282169671l_bool @ A_8 @ X_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_322_mem__def) ).

thf(444,axiom,
    ! [X_1: $i,A_8: $i] :
      ( ( hBOOL @ ( member840932460on_val @ X_1 @ A_8 ) )
    <=> ( hBOOL @ ( hAPP_P1708370145l_bool @ A_8 @ X_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_321_mem__def) ).

thf(445,axiom,
    ! [X_1: $i,A_8: $i] :
      ( ( hBOOL @ ( member763590124on_val @ X_1 @ A_8 ) )
    <=> ( hBOOL @ ( hAPP_P159683425l_bool @ A_8 @ X_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_320_mem__def) ).

thf(446,axiom,
    ! [X_1: $i,A_8: $i] :
      ( ( hBOOL @ ( member1542417277on_val @ X_1 @ A_8 ) )
    <=> ( hBOOL @ ( hAPP_P1235399154l_bool @ A_8 @ X_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_319_mem__def) ).

thf(447,axiom,
    ! [X_1: $i,A_8: $i] :
      ( ( hBOOL @ ( member1417904245al_val @ X_1 @ A_8 ) )
    <=> ( hBOOL @ ( hAPP_P943837928l_bool @ A_8 @ X_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_318_mem__def) ).

thf(448,axiom,
    ! [X_1: $i,A_8: $i] :
      ( ( hBOOL @ ( member649088532al_val @ X_1 @ A_8 ) )
    <=> ( hBOOL @ ( hAPP_P929938951l_bool @ A_8 @ X_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_317_mem__def) ).

thf(449,axiom,
    ! [X_1: $i,A_8: $i] :
      ( ( hBOOL @ ( member_nat @ X_1 @ A_8 ) )
    <=> ( hBOOL @ ( hAPP_nat_bool @ A_8 @ X_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_316_mem__def) ).

thf(450,axiom,
    ! [X_1: $i,A_8: $i] :
      ( ( hBOOL @ ( member_list_char @ X_1 @ A_8 ) )
    <=> ( hBOOL @ ( hAPP_list_char_bool @ A_8 @ X_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_315_mem__def) ).

thf(458,axiom,
    ! [M: $i,N: $i,K: $i,Xx: $i] :
      ( ( ( hAPP_l207779698on_val @ N @ K )
        = ( hAPP_val_option_val @ some_val @ Xx ) )
     => ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M @ N ) @ K )
        = ( hAPP_val_option_val @ some_val @ Xx ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_307_map__add__find__right) ).

thf(461,axiom,
    ! [M: $i,N: $i,K: $i,Xx: $i] :
      ( ( ( hAPP_P2094403585on_val @ N @ K )
        = ( hAPP_val_option_val @ some_val @ Xx ) )
     => ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ M @ N ) @ K )
        = ( hAPP_val_option_val @ some_val @ Xx ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_304_map__add__find__right) ).

thf(476,axiom,
    ! [Ta: $i,V_a: $i,Eb: $i,Hb: $i,Lb: $i,Va_1: $i,Va: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( hAPP_val_option_val @ some_val @ Va ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
     => ( ( ( hAPP_l207779698on_val @ L_b @ Va_1 )
          = ( hAPP_val_option_val @ some_val @ V_a ) )
       => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ Eb ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ V_a ) ) @ E_b ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_l207779698on_val @ Lb @ Va_1 ) ) ) ) ) @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_289_red__reds_OInitBlockRed) ).

thf(477,axiom,
    ! [M: $i,A_1: $i,B: $i] :
      ( ( ( hAPP_l207779698on_val @ M @ A_1 )
        = ( hAPP_val_option_val @ some_val @ B ) )
     => ( hBOOL @ ( member_list_char @ A_1 @ ( dom_list_char_val @ M ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_288_domI) ).

thf(478,axiom,
    ! [M: $i,A_1: $i,B: $i] :
      ( ( ( hAPP_P2094403585on_val @ M @ A_1 )
        = ( hAPP_val_option_val @ some_val @ B ) )
     => ( hBOOL @ ( member1251428284t_char @ A_1 @ ( dom_Pr695701035ar_val @ M ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_287_domI) ).

thf(506,axiom,
    ! [Va_1: $i,Ta: $i,U: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( val_list_char @ U ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ U ) ) @ S_2 ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_259_red__reds_ORedBlock) ).

thf(507,axiom,
    ! [E1: $i,U1: $i,M: $i,E2: $i] :
      ( ~ ( hBOOL @ ( member_list_char @ M @ ( dom_list_char_val @ E2 ) ) )
     => ( ( map_ad325961431ar_val @ ( fun_up1149430426on_val @ E1 @ M @ ( hAPP_val_option_val @ some_val @ U1 ) ) @ E2 )
        = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ E1 @ E2 ) @ M @ ( hAPP_val_option_val @ some_val @ U1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_258_map__add__upd__left) ).

thf(508,axiom,
    ! [E1: $i,U1: $i,M: $i,E2: $i] :
      ( ~ ( hBOOL @ ( member1251428284t_char @ M @ ( dom_Pr695701035ar_val @ E2 ) ) )
     => ( ( map_ad1185064968ar_val @ ( fun_up204312361on_val @ E1 @ M @ ( hAPP_val_option_val @ some_val @ U1 ) ) @ E2 )
        = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ E1 @ E2 ) @ M @ ( hAPP_val_option_val @ some_val @ U1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_257_map__add__upd__left) ).

thf(536,axiom,
    ! [Va: $i,E_2: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( val_list_char @ Va ) @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2 ) @ S_2 ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_229_red__reds_ORedSeq) ).

thf(545,axiom,
    ! [T_a: $i,Pa: $i,Hb: $i,Va: $i,Ta: $i] :
      ( ( hBOOL @ ( conf_P373316194t_char @ Pa @ Hb @ Va @ Ta ) )
     => ( ( hBOOL @ ( widen_2090681816t_char @ Pa @ Ta @ T_a ) )
       => ( hBOOL @ ( conf_P373316194t_char @ Pa @ Hb @ Va @ T_a ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_220_conf__widen) ).

thf(546,axiom,
    ! [Va_1: $i,Ta: $i,Va: $i,U: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ ( val_list_char @ U ) ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ U ) ) @ S_2 ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_219_red__reds_ORedInitBlock) ).

thf(580,axiom,
    ! [M1: $i,M2: $i,M3: $i] :
      ( ( map_ad325961431ar_val @ M1 @ ( map_ad325961431ar_val @ M2 @ M3 ) )
      = ( map_ad325961431ar_val @ ( map_ad325961431ar_val @ M1 @ M2 ) @ M3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_185_map__add__assoc) ).

thf(583,axiom,
    ! [M1: $i,M2: $i,M3: $i] :
      ( ( map_ad1185064968ar_val @ M1 @ ( map_ad1185064968ar_val @ M2 @ M3 ) )
      = ( map_ad1185064968ar_val @ ( map_ad1185064968ar_val @ M1 @ M2 ) @ M3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_182_map__add__assoc) ).

thf(591,axiom,
    ! [L2: $i,M: $i,L1: $i] :
      ( ~ ( hBOOL @ ( member_list_char @ M @ ( dom_list_char_val @ L1 ) ) )
     => ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ L1 @ L2 ) @ M )
        = ( hAPP_l207779698on_val @ L2 @ M ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_174_map__add__dom__app__simps_I2_J) ).

thf(592,axiom,
    ! [L2: $i,M: $i,L1: $i] :
      ( ~ ( hBOOL @ ( member1251428284t_char @ M @ ( dom_Pr695701035ar_val @ L1 ) ) )
     => ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ L1 @ L2 ) @ M )
        = ( hAPP_P2094403585on_val @ L2 @ M ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_173_map__add__dom__app__simps_I2_J) ).

thf(595,axiom,
    ! [L1: $i,M: $i,L2: $i] :
      ( ~ ( hBOOL @ ( member_list_char @ M @ ( dom_list_char_val @ L2 ) ) )
     => ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ L1 @ L2 ) @ M )
        = ( hAPP_l207779698on_val @ L1 @ M ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_170_map__add__dom__app__simps_I3_J) ).

thf(596,axiom,
    ! [L1: $i,M: $i,L2: $i] :
      ( ~ ( hBOOL @ ( member1251428284t_char @ M @ ( dom_Pr695701035ar_val @ L2 ) ) )
     => ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ L1 @ L2 ) @ M )
        = ( hAPP_P2094403585on_val @ L1 @ M ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_169_map__add__dom__app__simps_I3_J) ).

thf(606,axiom,
    ! [L1: $i,M: $i,L2: $i] :
      ( ( hBOOL @ ( member_list_char @ M @ ( dom_list_char_val @ L2 ) ) )
     => ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ L1 @ L2 ) @ M )
        = ( hAPP_l207779698on_val @ L2 @ M ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_159_map__add__dom__app__simps_I1_J) ).

thf(607,axiom,
    ! [L1: $i,M: $i,L2: $i] :
      ( ( hBOOL @ ( member1251428284t_char @ M @ ( dom_Pr695701035ar_val @ L2 ) ) )
     => ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ L1 @ L2 ) @ M )
        = ( hAPP_P2094403585on_val @ L2 @ M ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_158_map__add__dom__app__simps_I1_J) ).

thf(611,axiom,
    ! [Pa: $i,Va: $i,Ta: $i,Hb: $i,H_b: $i] :
      ( ( hBOOL @ ( hext @ Hb @ H_b ) )
     => ( ( hBOOL @ ( conf_P373316194t_char @ Pa @ Hb @ Va @ Ta ) )
       => ( hBOOL @ ( conf_P373316194t_char @ Pa @ H_b @ Va @ Ta ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_154_conf__hext) ).

thf(627,axiom,
    ! [L_0_1: $i,Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( map_ad325961431ar_val @ L_0_1 @ Lb ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( map_ad325961431ar_val @ L_0_1 @ L_b ) ) ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_138_red__lcl__add) ).

thf(638,axiom,
    ! [A_1: $i,A_13: $i] :
      ( ( ( hAPP_val_option_val @ some_val @ A_1 )
        = ( hAPP_val_option_val @ some_val @ A_13 ) )
    <=> ( A_1 = A_13 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_127_option_Oinject) ).

thf(647,axiom,
    ! [Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( hext @ Hb @ H_b ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_118_red__hext__incr) ).

thf(651,axiom,
    ! [T_4: $i,P_2: $i,S_5: $i,U_1: $i] :
      ( ( hBOOL @ ( widen_2090681816t_char @ P_2 @ S_5 @ U_1 ) )
     => ( ( hBOOL @ ( widen_2090681816t_char @ P_2 @ U_1 @ T_4 ) )
       => ( hBOOL @ ( widen_2090681816t_char @ P_2 @ S_5 @ T_4 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_114_widen__trans) ).

thf(656,axiom,
    ! [Pa: $i] :
      ( ? [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
    <=> ? [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_109_split__paired__Ex) ).

thf(657,axiom,
    ! [Pa: $i] :
      ( ? [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
    <=> ? [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_108_split__paired__Ex) ).

thf(658,axiom,
    ! [Pa: $i] :
      ( ? [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
    <=> ? [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_107_split__paired__Ex) ).

thf(663,axiom,
    ! [P_1: $i] :
      ~ ! [X_2: $i,Y_1: $i] :
          ( P_1
         != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Y_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_102_PairE) ).

thf(664,axiom,
    ! [P_1: $i] :
      ~ ! [X_2: $i,Y_1: $i] :
          ( P_1
         != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Y_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_101_PairE) ).

thf(665,axiom,
    ! [P_1: $i] :
      ~ ! [X_2: $i,Y_1: $i] :
          ( P_1
         != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Y_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_100_PairE) ).

thf(670,axiom,
    ! [Y_2: $i] :
      ~ ! [A: $i,B_1: $i] :
          ( Y_2
         != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_95_prod_Oexhaust) ).

thf(671,axiom,
    ! [Y_2: $i] :
      ~ ! [A: $i,B_1: $i] :
          ( Y_2
         != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_prod_Oexhaust) ).

thf(672,axiom,
    ! [Y_2: $i] :
      ~ ! [A: $i,B_1: $i] :
          ( Y_2
         != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_prod_Oexhaust) ).

thf(674,axiom,
    ! [S_6: $i,R_1: $i] :
      ( ! [X_2: $i,Xa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Xa ) @ R_1 ) )
        <=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Xa ) @ S_6 ) ) )
    <=> ( R_1 = S_6 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_pred__equals__eq2) ).

thf(678,axiom,
    ! [S_6: $i,R_1: $i] :
      ( ! [X_2: $i,Xa: $i] :
          ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Xa ) @ R_1 ) )
        <=> ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Xa ) @ S_6 ) ) )
    <=> ( R_1 = S_6 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_pred__equals__eq2) ).

thf(679,axiom,
    ! [S_6: $i,R_1: $i] :
      ( ! [X_2: $i,Xa: $i] :
          ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Xa ) @ R_1 ) )
        <=> ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Xa ) @ S_6 ) ) )
    <=> ( R_1 = S_6 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_pred__equals__eq2) ).

thf(682,axiom,
    ! [X_1: $i,Pa: $i] :
      ( ! [A: $i,B_1: $i,C_4: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ B_1 ) @ C_4 ) ) ) )
     => ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_prod__induct3) ).

thf(683,axiom,
    ! [X_1: $i,Pa: $i] :
      ( ! [A: $i,B_1: $i,C_4: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_1 ) @ C_4 ) ) ) )
     => ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_prod__induct3) ).

thf(685,axiom,
    ! [Y_2: $i] :
      ~ ! [A: $i,B_1: $i,C_4: $i] :
          ( Y_2
         != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ B_1 ) @ C_4 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_prod__cases3) ).

thf(686,axiom,
    ! [Y_2: $i] :
      ~ ! [A: $i,B_1: $i,C_4: $i] :
          ( Y_2
         != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_1 ) @ C_4 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_79_prod__cases3) ).

thf(689,axiom,
    ! [P_4: $i,T_5: $i] : ( hBOOL @ ( widen_2090681816t_char @ P_4 @ T_5 @ T_5 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_widen__refl) ).

thf(690,axiom,
    ! [F_1: $i,X_1: $i,Y_2: $i] :
      ( ( ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 )
        = F_1 )
    <=> ( ( hAPP_P2094403585on_val @ F_1 @ X_1 )
        = Y_2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75_fun__upd__idem__iff) ).

thf(693,axiom,
    ! [F_1: $i,X_1: $i,Y_2: $i] :
      ( ( ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 )
        = F_1 )
    <=> ( ( hAPP_l207779698on_val @ F_1 @ X_1 )
        = Y_2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_72_fun__upd__idem__iff) ).

thf(694,axiom,
    ! [F_1: $i,X_1: $i,Y_2: $i,Z: $i] :
      ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 ) @ X_1 @ Z )
      = ( fun_up204312361on_val @ F_1 @ X_1 @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_fun__upd__upd) ).

thf(697,axiom,
    ! [F_1: $i,X_1: $i,Y_2: $i,Z: $i] :
      ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ X_1 @ Z )
      = ( fun_up1149430426on_val @ F_1 @ X_1 @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_68_fun__upd__upd) ).

thf(698,axiom,
    ! [F_1: $i,X_1: $i,Y_2: $i] :
      ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 ) @ X_1 )
      = Y_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_fun__upd__same) ).

thf(701,axiom,
    ! [F_1: $i,X_1: $i,Y_2: $i] :
      ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ X_1 )
      = Y_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_fun__upd__same) ).

thf(702,axiom,
    ! [F_1: $i,Y_2: $i,Z: $i,X_1: $i] :
      ( ( ( Z = X_1 )
       => ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
          = Y_2 ) )
      & ( ( Z != X_1 )
       => ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
          = ( hAPP_P2094403585on_val @ F_1 @ Z ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_fun__upd__apply) ).

thf(705,axiom,
    ! [F_1: $i,Y_2: $i,Z: $i,X_1: $i] :
      ( ( ( Z = X_1 )
       => ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
          = Y_2 ) )
      & ( ( Z != X_1 )
       => ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
          = ( hAPP_l207779698on_val @ F_1 @ Z ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_fun__upd__apply) ).

thf(706,axiom,
    ! [M: $i,B: $i,D_1: $i,A_1: $i,C: $i] :
      ( ( A_1 != C )
     => ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ M @ A_1 @ B ) @ C @ D_1 )
        = ( fun_up204312361on_val @ ( fun_up204312361on_val @ M @ C @ D_1 ) @ A_1 @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_fun__upd__twist) ).

thf(709,axiom,
    ! [M: $i,B: $i,D_1: $i,A_1: $i,C: $i] :
      ( ( A_1 != C )
     => ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M @ A_1 @ B ) @ C @ D_1 )
        = ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M @ C @ D_1 ) @ A_1 @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_fun__upd__twist) ).

thf(710,axiom,
    ! [F_1: $i,Y_2: $i,Z: $i,X_1: $i] :
      ( ( Z != X_1 )
     => ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
        = ( hAPP_P2094403585on_val @ F_1 @ Z ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_55_fun__upd__other) ).

thf(713,axiom,
    ! [F_1: $i,Y_2: $i,Z: $i,X_1: $i] :
      ( ( Z != X_1 )
     => ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
        = ( hAPP_l207779698on_val @ F_1 @ Z ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_fun__upd__other) ).

thf(714,axiom,
    ! [F_1: $i,X_1: $i,Y_2: $i] :
      ( ( ( hAPP_P2094403585on_val @ F_1 @ X_1 )
        = Y_2 )
     => ( ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 )
        = F_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_51_fun__upd__idem) ).

thf(717,axiom,
    ! [F_1: $i,X_1: $i,Y_2: $i] :
      ( ( ( hAPP_l207779698on_val @ F_1 @ X_1 )
        = Y_2 )
     => ( ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 )
        = F_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_fun__upd__idem) ).

thf(718,axiom,
    ! [F_1: $i,B: $i,A_1: $i,X_2: $i] :
      ( ( ( X_2 = A_1 )
       => ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ A_1 @ B ) @ X_2 )
          = B ) )
      & ( ( X_2 != A_1 )
       => ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ A_1 @ B ) @ X_2 )
          = ( hAPP_P2094403585on_val @ F_1 @ X_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_fun__upd__def) ).

thf(721,axiom,
    ! [F_1: $i,B: $i,A_1: $i,X_2: $i] :
      ( ( ( X_2 = A_1 )
       => ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A_1 @ B ) @ X_2 )
          = B ) )
      & ( ( X_2 != A_1 )
       => ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A_1 @ B ) @ X_2 )
          = ( hAPP_l207779698on_val @ F_1 @ X_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_fun__upd__def) ).

thf(726,axiom,
    ! [Pa: $i] :
      ( ! [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
    <=> ! [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_split__paired__All) ).

thf(727,axiom,
    ! [Pa: $i] :
      ( ! [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
    <=> ! [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_split__paired__All) ).

thf(728,axiom,
    ! [Pa: $i] :
      ( ! [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
    <=> ! [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_split__paired__All) ).

thf(733,axiom,
    ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
      ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B )
        = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_13 ) @ B_2 ) )
    <=> ( ( A_1 = A_13 )
        & ( B = B_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_Pair__eq) ).

thf(734,axiom,
    ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
      ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B )
        = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_13 ) @ B_2 ) )
    <=> ( ( A_1 = A_13 )
        & ( B = B_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_Pair__eq) ).

thf(735,axiom,
    ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
      ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B )
        = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_13 ) @ B_2 ) )
    <=> ( ( A_1 = A_13 )
        & ( B = B_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_Pair__eq) ).

thf(740,axiom,
    ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
      ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B )
        = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_13 ) @ B_2 ) )
     => ~ ( ( A_1 = A_13 )
         => ( B != B_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_Pair__inject) ).

thf(741,axiom,
    ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
      ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B )
        = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_13 ) @ B_2 ) )
     => ~ ( ( A_1 = A_13 )
         => ( B != B_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_Pair__inject) ).

thf(742,axiom,
    ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
      ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B )
        = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_13 ) @ B_2 ) )
     => ~ ( ( A_1 = A_13 )
         => ( B != B_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_Pair__inject) ).

thf(744,axiom,
    ! [Y_2: $i] :
      ~ ! [A: $i,B_1: $i,C_4: $i,D_2: $i] :
          ( Y_2
         != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_1 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ C_4 ) @ D_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_prod__cases4) ).

thf(745,axiom,
    ! [X_1: $i,Pa: $i] :
      ( ! [A: $i,B_1: $i,C_4: $i,D_2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_1 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ C_4 ) @ D_2 ) ) ) ) )
     => ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_prod__induct4) ).

thf(746,axiom,
    ! [Ta: $i,Ea: $i] :
      ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa807100911_sconf @ p @ Ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) )
     => ( ( hBOOL @ ( wTrt @ p @ ha @ Ea @ ea @ Ta ) )
       => ? [T_3: $i] :
            ( ( hBOOL @ ( wTrt @ p @ h_a @ Ea @ e_a @ T_3 ) )
            & ( hBOOL @ ( widen_2090681816t_char @ p @ T_3 @ Ta ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_InitBlockRed_I2_J) ).

thf(747,axiom,
    ! [M: $i,A_1: $i,X_1: $i,N: $i,Y_2: $i] :
      ( ( ( fun_up204312361on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ X_1 ) )
        = ( fun_up204312361on_val @ N @ A_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
     => ( X_1 = Y_2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_map__upd__eqD1) ).

thf(750,axiom,
    ! [M: $i,A_1: $i,X_1: $i,N: $i,Y_2: $i] :
      ( ( ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ X_1 ) )
        = ( fun_up1149430426on_val @ N @ A_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
     => ( X_1 = Y_2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_map__upd__eqD1) ).

thf(751,axiom,
    ! [T_6: $i,K: $i,X_1: $i] :
      ( ( ( hAPP_P2094403585on_val @ T_6 @ K )
        = ( hAPP_val_option_val @ some_val @ X_1 ) )
     => ( ( fun_up204312361on_val @ T_6 @ K @ ( hAPP_val_option_val @ some_val @ X_1 ) )
        = T_6 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_map__upd__triv) ).

thf(754,axiom,
    ! [T_6: $i,K: $i,X_1: $i] :
      ( ( ( hAPP_l207779698on_val @ T_6 @ K )
        = ( hAPP_val_option_val @ some_val @ X_1 ) )
     => ( ( fun_up1149430426on_val @ T_6 @ K @ ( hAPP_val_option_val @ some_val @ X_1 ) )
        = T_6 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_map__upd__triv) ).

thf(755,axiom,
    ! [M: $i,A_1: $i,B: $i,X_1: $i,Y_2: $i] :
      ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
        = ( hAPP_val_option_val @ some_val @ Y_2 ) )
    <=> ( ( ( X_1 = A_1 )
          & ( B = Y_2 ) )
        | ( ( X_1 != A_1 )
          & ( ( hAPP_P2094403585on_val @ M @ X_1 )
            = ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_map__upd__Some__unfold) ).

thf(758,axiom,
    ! [M: $i,A_1: $i,B: $i,X_1: $i,Y_2: $i] :
      ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
        = ( hAPP_val_option_val @ some_val @ Y_2 ) )
    <=> ( ( ( X_1 = A_1 )
          & ( B = Y_2 ) )
        | ( ( X_1 != A_1 )
          & ( ( hAPP_l207779698on_val @ M @ X_1 )
            = ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_map__upd__Some__unfold) ).

thf(759,axiom,
    hBOOL @ ( wf_pro755087577t_char @ wf_J_mdecl @ p ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_assms) ).

thf(760,axiom,
    ! [F_1: $i,X_1: $i] :
      ( ( fun_up204312361on_val @ F_1 @ X_1 @ ( hAPP_P2094403585on_val @ F_1 @ X_1 ) )
      = F_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_fun__upd__triv) ).

thf(763,axiom,
    ! [F_1: $i,X_1: $i] :
      ( ( fun_up1149430426on_val @ F_1 @ X_1 @ ( hAPP_l207779698on_val @ F_1 @ X_1 ) )
      = F_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_fun__upd__triv) ).

thf(764,axiom,
    hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_InitBlockRed_I1_J) ).

thf(765,axiom,
    ( ( hAPP_l207779698on_val @ l_a @ v_1 )
    = ( hAPP_val_option_val @ some_val @ v_2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_InitBlockRed_I3_J) ).

thf(766,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member763590124on_val @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_member_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_) ).

thf(767,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member649088532al_val @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_member_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J) ).

thf(768,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member1542417277on_val @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__pro) ).

thf(769,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member1251428284t_char @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__Olist_) ).

thf(770,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member840932460on_val @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_member_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J) ).

thf(771,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member1417904245al_val @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_member_000tc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc__Value__) ).

thf(772,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member_nat @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_member_000tc__Nat__Onat) ).

thf(773,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member_list_char @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_member_000tc__List__Olist_Itc__String__Ochar_J) ).

thf(774,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P282169671l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O) ).

thf(775,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P159683425l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It) ).

thf(776,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P929938951l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_000tc__HOL__Obool) ).

thf(777,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1384137393r_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List) ).

thf(778,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1235399154l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_) ).

thf(779,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P449474095r_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__Olist_It) ).

thf(780,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1708370145l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_M) ).

thf(781,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P943837928l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc__Value__Ov) ).

thf(782,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1715346603l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List_) ).

thf(783,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f61040418l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_Itc__List__O) ).

thf(784,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1033709212l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption_001) ).

thf(785,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1001225811y_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption) ).

thf(786,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_val_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Value__Oval_000tc__HOL__Obool) ).

thf(787,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_nat_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool) ).

thf(788,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_list_char_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__List__Olist_Itc__String__Ochar_J_000tc__HOL__Obool) ).

thf(789,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/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool) ).

thf(790,axiom,
    is_bool @ fTrue,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_fTrue) ).

thf(791,axiom,
    is_bool @ fFalse,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_fFalse) ).

thf(792,axiom,
    ! [B_1_1: $i,B_2_1: $i,B_3_1: $i,B_4_1: $i,B_5: $i] : ( is_bool @ ( wTrt @ B_1_1 @ B_2_1 @ B_3_1 @ B_4_1 @ B_5 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_WellTypeRT_OWTrt) ).

thf(793,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( wf_pro755087577t_char @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_WellForm_Owf__prog_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__Stri) ).

thf(794,axiom,
    ! [B_1_1: $i] : ( is_bool @ ( is_refT @ B_1_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Type_Ois__refT) ).

thf(795,axiom,
    ! [B_1_1: $i,B_2_1: $i,B_3_1: $i] : ( is_bool @ ( widen_2090681816t_char @ B_1_1 @ B_2_1 @ B_3_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_TypeRel_Owiden_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__) ).

thf(796,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( assigned @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_SmallStep_Oassigned) ).

thf(797,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hext @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Objects_Ohext) ).

thf(801,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( d_list_char @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_DefAss_O_092_060D_062_000tc__List__Olist_Itc__String__Ochar_J) ).

thf(802,axiom,
    ! [B_1_1: $i,B_2_1: $i,B_3_1: $i,B_4_1: $i] : ( is_bool @ ( conf_P373316194t_char @ B_1_1 @ B_2_1 @ B_3_1 @ B_4_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Conform_Oconf_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__O) ).

thf(803,axiom,
    ! [B_1_1: $i] : ( is_bool @ ( final_list_char @ B_1_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_BigStep_Ofinal_000tc__List__Olist_Itc__String__Ochar_J) ).

thf(804,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member773094996on_val @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String_) ).

thf(805,conjecture,
    hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(806,negated_conjecture,
    ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[805]) ).

thf(807,plain,
    ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[806]) ).

thf(808,plain,
    ( ( ! [P: $i] :
          ( ( is_bool @ P )
         => ( ( P = fTrue )
            | ( P = fFalse ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[61]) ).

thf(809,plain,
    ( ( ! [Bool: $i,Nat: $i] :
          ( ( bool @ Bool )
         != ( addr @ Nat ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[70]) ).

thf(810,plain,
    ( ( ! [Nat: $i,Bool: $i] :
          ( ( addr @ Nat )
         != ( bool @ Bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[71]) ).

thf(811,plain,
    ( ( ! [Bool_1: $i] :
          ( ( bool @ Bool_1 )
         != unit ) )
    = $true ),
    inference(unfold_def,[status(thm)],[72]) ).

thf(812,plain,
    ( ( ! [Bool_1: $i] :
          ( unit
         != ( bool @ Bool_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[73]) ).

thf(813,plain,
    ( ( ! [Bool_1: $i] :
          ( ( bool @ Bool_1 )
         != null ) )
    = $true ),
    inference(unfold_def,[status(thm)],[75]) ).

thf(814,plain,
    ( ( ! [Bool_1: $i] :
          ( null
         != ( bool @ Bool_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[76]) ).

thf(815,plain,
    ( ( ! [Bop: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ Eb @ Bop @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[91]) ).

thf(816,plain,
    ( ( ! [Va: $i,Bop: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ Va ) @ Bop @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ Va ) @ Bop @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[92]) ).

thf(817,plain,
    ( ( ! [V_1: $i,Bop: $i,Eb: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ V_1 ) @ Bop @ ( throw_list_char @ Eb ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[93]) ).

thf(818,plain,
    ( ( ! [Bop: $i,E_2: $i,Eb: $i,S_2_1: $i,E_1: $i,S_0: $i,V_1: $i,S_1: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_1 ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ V_1 ) ) @ S_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2 ) @ S_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
           => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_1 @ Bop @ E_2 ) ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[104]) ).

thf(819,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
          ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( throw_list_char @ Eb ) @ Ta ) )
         => ~ ! [T_r: $i] :
                ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ T_r ) )
               => ~ ( hBOOL @ ( is_refT @ T_r ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[107]) ).

thf(820,plain,
    ( ( ! [Ta: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i,T_r_1: $i] :
          ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ T_r_1 ) )
         => ( ( hBOOL @ ( is_refT @ T_r_1 ) )
           => ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( throw_list_char @ Eb ) @ Ta ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[109]) ).

thf(821,plain,
    ( ( ! [C_1: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ ( val_list_char @ null ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[126]) ).

thf(822,plain,
    ( ( ! [F: $i,D: $i,Ta: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i] :
          ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ nt ) )
         => ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( fAcc_list_char @ Eb @ F @ D ) @ Ta ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[130]) ).

thf(823,plain,
    ( ( ! [C_1: $i,Eb: $i,S_2: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[139]) ).

thf(824,plain,
    ( ( ! [C_1: $i,Eb: $i,S_2: $i,A_1: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[153]) ).

thf(825,plain,
    ( ( ! [C_1: $i,Va_1: $i,E_2: $i,Eb: $i,S_2: $i,Va: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ Va ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C_1 @ Va_1 @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ Va ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[169]) ).

thf(826,plain,
    ( ( ! [Va_1: $i,Ta: $i,A_1: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( throw_list_char @ ( val_list_char @ ( addr @ A_1 ) ) ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ A_1 ) ) ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[180]) ).

thf(827,plain,
    ( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S_2_1: $i,E_1: $i,S_0: $i,Va: $i,S_1: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_1 ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ Va ) ) @ S_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2 ) @ S_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
           => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_1 @ F @ D @ E_2 ) ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[181]) ).

thf(828,plain,
    ( ( ! [F: $i,D: $i,Eb: $i,S_2: $i,A_1: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ Eb @ F @ D ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[182]) ).

thf(829,plain,
    ( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ Eb @ F @ D @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[183]) ).

thf(830,plain,
    ( ( ! [E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ Eb @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[184]) ).

thf(831,plain,
    ( ( ! [Va_1: $i,Eb: $i,S_2: $i,A_1: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[185]) ).

thf(832,plain,
    ( ( ! [Va: $i,F: $i,D: $i,Eb: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ Va ) @ F @ D @ ( throw_list_char @ Eb ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[186]) ).

thf(833,plain,
    ( ( ! [Va_1: $i,Ta: $i,Va: $i,A_1: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ ( throw_list_char @ ( val_list_char @ ( addr @ A_1 ) ) ) ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ A_1 ) ) ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[214]) ).

thf(834,plain,
    ( ( ! [Va: $i,F: $i,D: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ Va ) @ F @ D @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ Va ) @ F @ D @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[234]) ).

thf(835,plain,
    ( ( ! [Pa: $i] :
          ( ( hBOOL @ ( wf_pro755087577t_char @ wf_J_mdecl @ Pa ) )
         => ( hBOOL @ ( wf_pro755087577t_char @ wwf_J_mdecl @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[247]) ).

thf(836,plain,
    ( ( ! [Va_1: $i,Eb: $i] :
          ( ( hBOOL @ ( assigned @ Va_1 @ Eb ) )
        <=> ? [V_3: $i,E_3: $i] :
              ( Eb
              = ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ V_3 ) ) @ E_3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[251]) ).

thf(837,plain,
    ( ( ! [Ta: $i,Eb: $i,Hb: $i,Lb: $i,Va_1: $i,Va: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( hAPP_val_option_val @ some_val @ Va ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( ( hBOOL @ ( final_list_char @ E_b ) )
           => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ Eb ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_l207779698on_val @ Lb @ Va_1 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[252]) ).

thf(838,plain,
    ( ( ! [Ta: $i,Eb: $i,Hb: $i,Lb: $i,Va_1: $i,Va: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( hAPP_val_option_val @ some_val @ Va ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ Eb ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ ( the_val @ ( hAPP_l207779698on_val @ L_b @ Va_1 ) ) ) ) @ E_b ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_l207779698on_val @ Lb @ Va_1 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[253]) ).

thf(839,plain,
    ( ( ! [E_2: $i,E_2_1: $i,S_2_1: $i,E_1: $i,S_0: $i,V_1: $i,S_1: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_1 ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ V_1 ) ) @ S_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2 ) @ S_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2_1 ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
           => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_1 @ E_2 ) ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2_1 ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[259]) ).

thf(840,plain,
    ( ( ! [Va_1: $i,Eb: $i,S_2: $i,Va: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ Va ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_val_option_val @ some_val @ Va ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[270]) ).

thf(841,plain,
    ( ( ! [A_2: $i,Ty: $i,Exp: $i,Exp1: $i,Exp2: $i] :
          ( ( block_list_char @ A_2 @ Ty @ Exp )
         != ( seq_list_char @ Exp1 @ Exp2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[275]) ).

thf(842,plain,
    ( ( ! [A_4: $i,Exp_2: $i,A_3: $i,Ty_1: $i,Exp_1: $i] :
          ( ( lAss_list_char @ A_4 @ Exp_2 )
         != ( block_list_char @ A_3 @ Ty_1 @ Exp_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[276]) ).

thf(843,plain,
    ( ( ! [Exp1_1: $i,Exp2_1: $i,A_5: $i,Ty_2: $i,Exp_3: $i] :
          ( ( seq_list_char @ Exp1_1 @ Exp2_1 )
         != ( block_list_char @ A_5 @ Ty_2 @ Exp_3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[277]) ).

thf(844,plain,
    ( ( ! [A_6: $i,Exp_4: $i,Exp1_2: $i,Exp2_2: $i] :
          ( ( lAss_list_char @ A_6 @ Exp_4 )
         != ( seq_list_char @ Exp1_2 @ Exp2_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[278]) ).

thf(845,plain,
    ( ( ! [Exp1_3: $i,Exp2_3: $i,A_7: $i,Exp_5: $i] :
          ( ( seq_list_char @ Exp1_3 @ Exp2_3 )
         != ( lAss_list_char @ A_7 @ Exp_5 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[279]) ).

thf(846,plain,
    ( ( ! [A_9: $i,Ty_3: $i,Exp_6: $i,Val: $i] :
          ( ( block_list_char @ A_9 @ Ty_3 @ Exp_6 )
         != ( val_list_char @ Val ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[281]) ).

thf(847,plain,
    ( ( ! [Val_1: $i,A_10: $i,Ty_4: $i,Exp_7: $i] :
          ( ( val_list_char @ Val_1 )
         != ( block_list_char @ A_10 @ Ty_4 @ Exp_7 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[282]) ).

thf(848,plain,
    ( ( ! [A_11: $i,Exp_8: $i,Val_2: $i] :
          ( ( lAss_list_char @ A_11 @ Exp_8 )
         != ( val_list_char @ Val_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[283]) ).

thf(849,plain,
    ( ( ! [Exp1_4: $i,Exp2_4: $i,Val_3: $i] :
          ( ( seq_list_char @ Exp1_4 @ Exp2_4 )
         != ( val_list_char @ Val_3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[284]) ).

thf(850,plain,
    ( ( ! [Val_4: $i,A_12: $i,Exp_9: $i] :
          ( ( val_list_char @ Val_4 )
         != ( lAss_list_char @ A_12 @ Exp_9 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[285]) ).

thf(851,plain,
    ( ( ! [Val_5: $i,Exp1_5: $i,Exp2_5: $i] :
          ( ( val_list_char @ Val_5 )
         != ( seq_list_char @ Exp1_5 @ Exp2_5 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[286]) ).

thf(852,plain,
    ( ( ! [A_1: $i,Ty_6: $i,Exp_11: $i,A_13: $i,Ty_5: $i,Exp_10: $i] :
          ( ( ( block_list_char @ A_1 @ Ty_6 @ Exp_11 )
            = ( block_list_char @ A_13 @ Ty_5 @ Exp_10 ) )
        <=> ( ( A_1 = A_13 )
            & ( Ty_6 = Ty_5 )
            & ( Exp_11 = Exp_10 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[287]) ).

thf(853,plain,
    ( ( ! [A_1: $i,Exp_11: $i,A_13: $i,Exp_10: $i] :
          ( ( ( lAss_list_char @ A_1 @ Exp_11 )
            = ( lAss_list_char @ A_13 @ Exp_10 ) )
        <=> ( ( A_1 = A_13 )
            & ( Exp_11 = Exp_10 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[288]) ).

thf(854,plain,
    ( ( ! [Exp1_7: $i,Exp2_7: $i,Exp1_6: $i,Exp2_6: $i] :
          ( ( ( seq_list_char @ Exp1_7 @ Exp2_7 )
            = ( seq_list_char @ Exp1_6 @ Exp2_6 ) )
        <=> ( ( Exp1_7 = Exp1_6 )
            & ( Exp2_7 = Exp2_6 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[289]) ).

thf(855,plain,
    ( ( ! [Val_7: $i,Val_6: $i] :
          ( ( ( val_list_char @ Val_7 )
            = ( val_list_char @ Val_6 ) )
        <=> ( Val_7 = Val_6 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[290]) ).

thf(856,plain,
    ( ( ! [A_15: $i,Ty_7: $i,Exp_13: $i,A_14: $i,Exp_12: $i] :
          ( ( block_list_char @ A_15 @ Ty_7 @ Exp_13 )
         != ( lAss_list_char @ A_14 @ Exp_12 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[291]) ).

thf(857,plain,
    ( ( ! [A_1: $i,M: $i] :
          ( ( hBOOL @ ( member_list_char @ A_1 @ ( dom_list_char_val @ M ) ) )
         => ? [B_1: $i] :
              ( ( hAPP_l207779698on_val @ M @ A_1 )
              = ( hAPP_val_option_val @ some_val @ B_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[359]) ).

thf(858,plain,
    ( ( ! [A_1: $i,M: $i] :
          ( ( hBOOL @ ( member1251428284t_char @ A_1 @ ( dom_Pr695701035ar_val @ M ) ) )
         => ? [B_1: $i] :
              ( ( hAPP_P2094403585on_val @ M @ A_1 )
              = ( hAPP_val_option_val @ some_val @ B_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[360]) ).

thf(859,plain,
    ( ( ! [Va_1: $i,Va: $i,Hb: $i,Lb: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( hAPP_val_option_val @ some_val @ Va ) ) ) ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[396]) ).

thf(860,plain,
    ( ( ! [Ta: $i,V_a: $i,Eb: $i,Hb: $i,Lb: $i,Va_1: $i,Va: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( hAPP_val_option_val @ some_val @ Va ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
         => ( ( ( hAPP_l207779698on_val @ L_b @ Va_1 )
              = ( hAPP_val_option_val @ some_val @ V_a ) )
           => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ Eb ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ V_a ) ) @ E_b ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_l207779698on_val @ Lb @ Va_1 ) ) ) ) ) @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[476]) ).

thf(861,plain,
    ( ( ! [M: $i,A_1: $i,B: $i] :
          ( ( ( hAPP_l207779698on_val @ M @ A_1 )
            = ( hAPP_val_option_val @ some_val @ B ) )
         => ( hBOOL @ ( member_list_char @ A_1 @ ( dom_list_char_val @ M ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[477]) ).

thf(862,plain,
    ( ( ! [M: $i,A_1: $i,B: $i] :
          ( ( ( hAPP_P2094403585on_val @ M @ A_1 )
            = ( hAPP_val_option_val @ some_val @ B ) )
         => ( hBOOL @ ( member1251428284t_char @ A_1 @ ( dom_Pr695701035ar_val @ M ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[478]) ).

thf(863,plain,
    ( ( ! [E1: $i,U1: $i,M: $i,E2: $i] :
          ( ~ ( hBOOL @ ( member_list_char @ M @ ( dom_list_char_val @ E2 ) ) )
         => ( ( map_ad325961431ar_val @ ( fun_up1149430426on_val @ E1 @ M @ ( hAPP_val_option_val @ some_val @ U1 ) ) @ E2 )
            = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ E1 @ E2 ) @ M @ ( hAPP_val_option_val @ some_val @ U1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[507]) ).

thf(864,plain,
    ( ( ! [E1: $i,U1: $i,M: $i,E2: $i] :
          ( ~ ( hBOOL @ ( member1251428284t_char @ M @ ( dom_Pr695701035ar_val @ E2 ) ) )
         => ( ( map_ad1185064968ar_val @ ( fun_up204312361on_val @ E1 @ M @ ( hAPP_val_option_val @ some_val @ U1 ) ) @ E2 )
            = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ E1 @ E2 ) @ M @ ( hAPP_val_option_val @ some_val @ U1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[508]) ).

thf(865,plain,
    ( ( ! [Va_1: $i,Ta: $i,Va: $i,U: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ ( val_list_char @ U ) ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ U ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[546]) ).

thf(866,plain,
    ( ( ! [M1: $i,M2: $i,M3: $i] :
          ( ( map_ad325961431ar_val @ M1 @ ( map_ad325961431ar_val @ M2 @ M3 ) )
          = ( map_ad325961431ar_val @ ( map_ad325961431ar_val @ M1 @ M2 ) @ M3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[580]) ).

thf(867,plain,
    ( ( ! [M1: $i,M2: $i,M3: $i] :
          ( ( map_ad1185064968ar_val @ M1 @ ( map_ad1185064968ar_val @ M2 @ M3 ) )
          = ( map_ad1185064968ar_val @ ( map_ad1185064968ar_val @ M1 @ M2 ) @ M3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[583]) ).

thf(868,plain,
    ( ( ! [L2: $i,M: $i,L1: $i] :
          ( ~ ( hBOOL @ ( member_list_char @ M @ ( dom_list_char_val @ L1 ) ) )
         => ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ L1 @ L2 ) @ M )
            = ( hAPP_l207779698on_val @ L2 @ M ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[591]) ).

thf(869,plain,
    ( ( ! [L2: $i,M: $i,L1: $i] :
          ( ~ ( hBOOL @ ( member1251428284t_char @ M @ ( dom_Pr695701035ar_val @ L1 ) ) )
         => ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ L1 @ L2 ) @ M )
            = ( hAPP_P2094403585on_val @ L2 @ M ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[592]) ).

thf(870,plain,
    ( ( ! [L1: $i,M: $i,L2: $i] :
          ( ~ ( hBOOL @ ( member_list_char @ M @ ( dom_list_char_val @ L2 ) ) )
         => ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ L1 @ L2 ) @ M )
            = ( hAPP_l207779698on_val @ L1 @ M ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[595]) ).

thf(871,plain,
    ( ( ! [L1: $i,M: $i,L2: $i] :
          ( ~ ( hBOOL @ ( member1251428284t_char @ M @ ( dom_Pr695701035ar_val @ L2 ) ) )
         => ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ L1 @ L2 ) @ M )
            = ( hAPP_P2094403585on_val @ L1 @ M ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[596]) ).

thf(872,plain,
    ( ( ! [L1: $i,M: $i,L2: $i] :
          ( ( hBOOL @ ( member_list_char @ M @ ( dom_list_char_val @ L2 ) ) )
         => ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ L1 @ L2 ) @ M )
            = ( hAPP_l207779698on_val @ L2 @ M ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[606]) ).

thf(873,plain,
    ( ( ! [L1: $i,M: $i,L2: $i] :
          ( ( hBOOL @ ( member1251428284t_char @ M @ ( dom_Pr695701035ar_val @ L2 ) ) )
         => ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ L1 @ L2 ) @ M )
            = ( hAPP_P2094403585on_val @ L2 @ M ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[607]) ).

thf(874,plain,
    ( ( ! [F_1: $i,X_1: $i,Y_2: $i] :
          ( ( ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 )
            = F_1 )
        <=> ( ( hAPP_P2094403585on_val @ F_1 @ X_1 )
            = Y_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[690]) ).

thf(875,plain,
    ( ( ! [F_1: $i,X_1: $i,Y_2: $i,Z: $i] :
          ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 ) @ X_1 @ Z )
          = ( fun_up204312361on_val @ F_1 @ X_1 @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[694]) ).

thf(876,plain,
    ( ( ! [F_1: $i,X_1: $i,Y_2: $i] :
          ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 ) @ X_1 )
          = Y_2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[698]) ).

thf(877,plain,
    ( ( ! [F_1: $i,Y_2: $i,Z: $i,X_1: $i] :
          ( ( ( Z = X_1 )
           => ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
              = Y_2 ) )
          & ( ( Z != X_1 )
           => ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
              = ( hAPP_P2094403585on_val @ F_1 @ Z ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[702]) ).

thf(878,plain,
    ( ( ! [M: $i,B: $i,D_1: $i,A_1: $i,C: $i] :
          ( ( A_1 != C )
         => ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ M @ A_1 @ B ) @ C @ D_1 )
            = ( fun_up204312361on_val @ ( fun_up204312361on_val @ M @ C @ D_1 ) @ A_1 @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[706]) ).

thf(879,plain,
    ( ( ! [F_1: $i,Y_2: $i,Z: $i,X_1: $i] :
          ( ( Z != X_1 )
         => ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
            = ( hAPP_P2094403585on_val @ F_1 @ Z ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[710]) ).

thf(880,plain,
    ( ( ! [F_1: $i,X_1: $i,Y_2: $i] :
          ( ( ( hAPP_P2094403585on_val @ F_1 @ X_1 )
            = Y_2 )
         => ( ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 )
            = F_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[714]) ).

thf(881,plain,
    ( ( ! [F_1: $i,B: $i,A_1: $i,X_2: $i] :
          ( ( ( X_2 = A_1 )
           => ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ A_1 @ B ) @ X_2 )
              = B ) )
          & ( ( X_2 != A_1 )
           => ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ A_1 @ B ) @ X_2 )
              = ( hAPP_P2094403585on_val @ F_1 @ X_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[718]) ).

thf(882,plain,
    ( ( ! [Ta: $i,Ea: $i] :
          ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa807100911_sconf @ p @ Ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) )
         => ( ( hBOOL @ ( wTrt @ p @ ha @ Ea @ ea @ Ta ) )
           => ? [T_3: $i] :
                ( ( hBOOL @ ( wTrt @ p @ h_a @ Ea @ e_a @ T_3 ) )
                & ( hBOOL @ ( widen_2090681816t_char @ p @ T_3 @ Ta ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[746]) ).

thf(883,plain,
    ( ( ! [F_1: $i,X_1: $i] :
          ( ( fun_up204312361on_val @ F_1 @ X_1 @ ( hAPP_P2094403585on_val @ F_1 @ X_1 ) )
          = F_1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[760]) ).

thf(884,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member763590124on_val @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[766]) ).

thf(885,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member649088532al_val @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[767]) ).

thf(886,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member1542417277on_val @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[768]) ).

thf(887,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member1251428284t_char @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[769]) ).

thf(888,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member840932460on_val @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[770]) ).

thf(889,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member1417904245al_val @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[771]) ).

thf(890,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member_nat @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[772]) ).

thf(891,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member_list_char @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[773]) ).

thf(892,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P282169671l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[774]) ).

thf(893,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P159683425l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[775]) ).

thf(894,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P929938951l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[776]) ).

thf(895,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1384137393r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[777]) ).

thf(896,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1235399154l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[778]) ).

thf(897,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P449474095r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[779]) ).

thf(898,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1708370145l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[780]) ).

thf(899,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P943837928l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[781]) ).

thf(900,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1715346603l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[782]) ).

thf(901,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f61040418l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[783]) ).

thf(902,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1033709212l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[784]) ).

thf(903,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1001225811y_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[785]) ).

thf(904,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_val_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[786]) ).

thf(905,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)],[787]) ).

thf(906,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_list_char_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[788]) ).

thf(907,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)],[789]) ).

thf(908,plain,
    ( ( is_bool @ fTrue )
    = $true ),
    inference(unfold_def,[status(thm)],[790]) ).

thf(909,plain,
    ( ( is_bool @ fFalse )
    = $true ),
    inference(unfold_def,[status(thm)],[791]) ).

thf(910,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i,B_3_1: $i,B_4_1: $i,B_5: $i] : ( is_bool @ ( wTrt @ B_1_1 @ B_2_1 @ B_3_1 @ B_4_1 @ B_5 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[792]) ).

thf(911,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( wf_pro755087577t_char @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[793]) ).

thf(912,plain,
    ( ( ! [B_1_1: $i] : ( is_bool @ ( is_refT @ B_1_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[794]) ).

thf(913,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i,B_3_1: $i] : ( is_bool @ ( widen_2090681816t_char @ B_1_1 @ B_2_1 @ B_3_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[795]) ).

thf(914,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( assigned @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[796]) ).

thf(915,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hext @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[797]) ).

thf(916,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( d_list_char @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[801]) ).

thf(917,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i,B_3_1: $i,B_4_1: $i] : ( is_bool @ ( conf_P373316194t_char @ B_1_1 @ B_2_1 @ B_3_1 @ B_4_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[802]) ).

thf(918,plain,
    ( ( ! [B_1_1: $i] : ( is_bool @ ( final_list_char @ B_1_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[803]) ).

thf(919,plain,
    ( ( ~ ( hBOOL @ fFalse ) )
    = $true ),
    inference(unfold_def,[status(thm)],[62]) ).

thf(920,plain,
    ( ( ! [Bool: $i,Bool_1: $i] :
          ( ( ( bool @ Bool )
            = ( bool @ Bool_1 ) )
        <=> ( ( hBOOL @ Bool )
          <=> ( hBOOL @ Bool_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[74]) ).

thf(921,plain,
    ( ( ! [Bop: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ Eb @ Bop @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_b @ Bop @ E_2 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[94]) ).

thf(922,plain,
    ( ( ! [Eb: $i,Bop: $i,E_2: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( throw_list_char @ Eb ) @ Bop @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[95]) ).

thf(923,plain,
    ( ( ! [V_1: $i,Bop: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ V_1 ) @ Bop @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ V_1 ) @ Bop @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[96]) ).

thf(924,plain,
    ( ( ! [Bop: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ Eb @ Bop @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_b @ Bop @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[99]) ).

thf(925,plain,
    ( ( ! [C_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[155]) ).

thf(926,plain,
    ( ( ! [C_1: $i,Eb: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ ( throw_list_char @ Eb ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[156]) ).

thf(927,plain,
    ( ( ! [C_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[157]) ).

thf(928,plain,
    ( ( ! [C_1: $i,Va_1: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C_1 @ Va_1 @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ E_b @ C_1 @ Va_1 @ E_2 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[171]) ).

thf(929,plain,
    ( ( ! [Va: $i,C_1: $i,Va_1: $i,E_2: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ ( val_list_char @ Va ) @ C_1 @ Va_1 @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ Va ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[172]) ).

thf(930,plain,
    ( ( ! [C_1: $i,Va_1: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C_1 @ Va_1 @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ E_b @ C_1 @ Va_1 @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[173]) ).

thf(931,plain,
    ( ( ! [Eb: $i,F: $i,D: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ ( throw_list_char @ Eb ) @ F @ D ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[188]) ).

thf(932,plain,
    ( ( ! [Eb: $i,F: $i,D: $i,E_2: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( throw_list_char @ Eb ) @ F @ D @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[189]) ).

thf(933,plain,
    ( ( ! [Eb: $i,E_2: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( throw_list_char @ Eb ) @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[190]) ).

thf(934,plain,
    ( ( ! [Va_1: $i,Eb: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ ( throw_list_char @ Eb ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[191]) ).

thf(935,plain,
    ( ( ! [Eb: $i,S_2: $i,A_1: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[192]) ).

thf(936,plain,
    ( ( ! [Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[193]) ).

thf(937,plain,
    ( ( ! [Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[198]) ).

thf(938,plain,
    ( ( ! [Eb: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( throw_list_char @ Eb ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[199]) ).

thf(939,plain,
    ( ( ! [F: $i,D: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ Eb @ F @ D ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ E_b @ F @ D ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[224]) ).

thf(940,plain,
    ( ( ! [F: $i,D: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ Eb @ F @ D ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ E_b @ F @ D ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[225]) ).

thf(941,plain,
    ( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ Eb @ F @ D @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_b @ F @ D @ E_2 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[236]) ).

thf(942,plain,
    ( ( ! [Va: $i,F: $i,D: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ Va ) @ F @ D @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ Va ) @ F @ D @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[237]) ).

thf(943,plain,
    ( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ Eb @ F @ D @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_b @ F @ D @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[238]) ).

thf(944,plain,
    ( ( ! [L_0_1: $i,Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( map_ad325961431ar_val @ L_0_1 @ Lb ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( map_ad325961431ar_val @ L_0_1 @ L_b ) ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[255]) ).

thf(945,plain,
    ( ( ! [Va_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[261]) ).

thf(946,plain,
    ( ( ! [E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ Eb @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[262]) ).

thf(947,plain,
    ( ( ! [Va: $i,A_8: $i] : ( hBOOL @ ( d_list_char @ ( val_list_char @ Va ) @ A_8 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[280]) ).

thf(948,plain,
    ( ( ! [Va_1: $i,Eb: $i,A_8: $i] :
          ( ( hBOOL @ ( d_list_char @ ( lAss_list_char @ Va_1 @ Eb ) @ A_8 ) )
        <=> ( hBOOL @ ( d_list_char @ Eb @ A_8 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[292]) ).

thf(949,plain,
    ( ( ! [H_b: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
          ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ Ta ) )
         => ( ( hBOOL @ ( hext @ Hb @ H_b ) )
           => ( hBOOL @ ( wTrt @ Pa @ H_b @ Ea @ Eb @ Ta ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[300]) ).

thf(950,plain,
    ( ( ! [H_3: $i,Hb: $i,H_b: $i] :
          ( ( hBOOL @ ( hext @ Hb @ H_b ) )
         => ( ( hBOOL @ ( hext @ H_b @ H_3 ) )
           => ( hBOOL @ ( hext @ Hb @ H_3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[301]) ).

thf(951,plain,
    ( ( ! [Hb: $i] : ( hBOOL @ ( hext @ Hb @ Hb ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[395]) ).

thf(952,plain,
    ( ( ! [E_2: $i,T_2_1: $i,Pa: $i,Hb: $i,Ea: $i,E_1: $i,T_1_2: $i] :
          ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_1 @ T_1_2 ) )
         => ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_2 @ T_2_1 ) )
           => ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( seq_list_char @ E_1 @ E_2 ) @ T_2_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[398]) ).

thf(953,plain,
    ( ( ! [F_1: $i,G: $i,X_1: $i,Y_2: $i] :
          ( ( map_ad1185064968ar_val @ F_1 @ ( fun_up204312361on_val @ G @ X_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ F_1 @ G ) @ X_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[422]) ).

thf(954,plain,
    ( ( ! [F_1: $i,G: $i,X_1: $i,Y_2: $i] :
          ( ( map_ad325961431ar_val @ F_1 @ ( fun_up1149430426on_val @ G @ X_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ F_1 @ G ) @ X_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[425]) ).

thf(955,plain,
    ( ( ! [E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ Eb @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[440]) ).

thf(956,plain,
    ( ( ! [Va_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[441]) ).

thf(957,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ( hBOOL @ ( member1251428284t_char @ X_1 @ A_8 ) )
        <=> ( hBOOL @ ( hAPP_P449474095r_bool @ A_8 @ X_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[442]) ).

thf(958,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ( hBOOL @ ( member773094996on_val @ X_1 @ A_8 ) )
        <=> ( hBOOL @ ( hAPP_P282169671l_bool @ A_8 @ X_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[443]) ).

thf(959,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ( hBOOL @ ( member840932460on_val @ X_1 @ A_8 ) )
        <=> ( hBOOL @ ( hAPP_P1708370145l_bool @ A_8 @ X_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[444]) ).

thf(960,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ( hBOOL @ ( member763590124on_val @ X_1 @ A_8 ) )
        <=> ( hBOOL @ ( hAPP_P159683425l_bool @ A_8 @ X_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[445]) ).

thf(961,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ( hBOOL @ ( member1542417277on_val @ X_1 @ A_8 ) )
        <=> ( hBOOL @ ( hAPP_P1235399154l_bool @ A_8 @ X_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[446]) ).

thf(962,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ( hBOOL @ ( member1417904245al_val @ X_1 @ A_8 ) )
        <=> ( hBOOL @ ( hAPP_P943837928l_bool @ A_8 @ X_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[447]) ).

thf(963,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ( hBOOL @ ( member649088532al_val @ X_1 @ A_8 ) )
        <=> ( hBOOL @ ( hAPP_P929938951l_bool @ A_8 @ X_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[448]) ).

thf(964,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ( hBOOL @ ( member_nat @ X_1 @ A_8 ) )
        <=> ( hBOOL @ ( hAPP_nat_bool @ A_8 @ X_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[449]) ).

thf(965,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ( hBOOL @ ( member_list_char @ X_1 @ A_8 ) )
        <=> ( hBOOL @ ( hAPP_list_char_bool @ A_8 @ X_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[450]) ).

thf(966,plain,
    ( ( ! [M: $i,N: $i,K: $i,Xx: $i] :
          ( ( ( hAPP_l207779698on_val @ N @ K )
            = ( hAPP_val_option_val @ some_val @ Xx ) )
         => ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M @ N ) @ K )
            = ( hAPP_val_option_val @ some_val @ Xx ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[458]) ).

thf(967,plain,
    ( ( ! [M: $i,N: $i,K: $i,Xx: $i] :
          ( ( ( hAPP_P2094403585on_val @ N @ K )
            = ( hAPP_val_option_val @ some_val @ Xx ) )
         => ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ M @ N ) @ K )
            = ( hAPP_val_option_val @ some_val @ Xx ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[461]) ).

thf(968,plain,
    ( ( ! [Va_1: $i,Ta: $i,U: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( val_list_char @ U ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ U ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[506]) ).

thf(969,plain,
    ( ( ! [Va: $i,E_2: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( val_list_char @ Va ) @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2 ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[536]) ).

thf(970,plain,
    ( ( ! [T_a: $i,Pa: $i,Hb: $i,Va: $i,Ta: $i] :
          ( ( hBOOL @ ( conf_P373316194t_char @ Pa @ Hb @ Va @ Ta ) )
         => ( ( hBOOL @ ( widen_2090681816t_char @ Pa @ Ta @ T_a ) )
           => ( hBOOL @ ( conf_P373316194t_char @ Pa @ Hb @ Va @ T_a ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[545]) ).

thf(971,plain,
    ( ( ! [Pa: $i,Va: $i,Ta: $i,Hb: $i,H_b: $i] :
          ( ( hBOOL @ ( hext @ Hb @ H_b ) )
         => ( ( hBOOL @ ( conf_P373316194t_char @ Pa @ Hb @ Va @ Ta ) )
           => ( hBOOL @ ( conf_P373316194t_char @ Pa @ H_b @ Va @ Ta ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[611]) ).

thf(972,plain,
    ( ( ! [L_0_1: $i,Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( map_ad325961431ar_val @ L_0_1 @ Lb ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( map_ad325961431ar_val @ L_0_1 @ L_b ) ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[627]) ).

thf(973,plain,
    ( ( ! [A_1: $i,A_13: $i] :
          ( ( ( hAPP_val_option_val @ some_val @ A_1 )
            = ( hAPP_val_option_val @ some_val @ A_13 ) )
        <=> ( A_1 = A_13 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[638]) ).

thf(974,plain,
    ( ( ! [Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( hext @ Hb @ H_b ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[647]) ).

thf(975,plain,
    ( ( ! [T_4: $i,P_2: $i,S_5: $i,U_1: $i] :
          ( ( hBOOL @ ( widen_2090681816t_char @ P_2 @ S_5 @ U_1 ) )
         => ( ( hBOOL @ ( widen_2090681816t_char @ P_2 @ U_1 @ T_4 ) )
           => ( hBOOL @ ( widen_2090681816t_char @ P_2 @ S_5 @ T_4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[651]) ).

thf(976,plain,
    ( ( ! [Pa: $i] :
          ( ? [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
        <=> ? [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[656]) ).

thf(977,plain,
    ( ( ! [Pa: $i] :
          ( ? [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
        <=> ? [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[657]) ).

thf(978,plain,
    ( ( ! [Pa: $i] :
          ( ? [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
        <=> ? [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[658]) ).

thf(979,plain,
    ( ( ! [P_1: $i] :
          ~ ! [X_2: $i,Y_1: $i] :
              ( P_1
             != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Y_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[663]) ).

thf(980,plain,
    ( ( ! [P_1: $i] :
          ~ ! [X_2: $i,Y_1: $i] :
              ( P_1
             != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Y_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[664]) ).

thf(981,plain,
    ( ( ! [P_1: $i] :
          ~ ! [X_2: $i,Y_1: $i] :
              ( P_1
             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Y_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[665]) ).

thf(982,plain,
    ( ( ! [Y_2: $i] :
          ~ ! [A: $i,B_1: $i] :
              ( Y_2
             != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[670]) ).

thf(983,plain,
    ( ( ! [Y_2: $i] :
          ~ ! [A: $i,B_1: $i] :
              ( Y_2
             != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[671]) ).

thf(984,plain,
    ( ( ! [Y_2: $i] :
          ~ ! [A: $i,B_1: $i] :
              ( Y_2
             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[672]) ).

thf(985,plain,
    ( ( ! [S_6: $i,R_1: $i] :
          ( ! [X_2: $i,Xa: $i] :
              ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Xa ) @ R_1 ) )
            <=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Xa ) @ S_6 ) ) )
        <=> ( R_1 = S_6 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[674]) ).

thf(986,plain,
    ( ( ! [S_6: $i,R_1: $i] :
          ( ! [X_2: $i,Xa: $i] :
              ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Xa ) @ R_1 ) )
            <=> ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Xa ) @ S_6 ) ) )
        <=> ( R_1 = S_6 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[678]) ).

thf(987,plain,
    ( ( ! [S_6: $i,R_1: $i] :
          ( ! [X_2: $i,Xa: $i] :
              ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Xa ) @ R_1 ) )
            <=> ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Xa ) @ S_6 ) ) )
        <=> ( R_1 = S_6 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[679]) ).

thf(988,plain,
    ( ( ! [X_1: $i,Pa: $i] :
          ( ! [A: $i,B_1: $i,C_4: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ B_1 ) @ C_4 ) ) ) )
         => ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[682]) ).

thf(989,plain,
    ( ( ! [X_1: $i,Pa: $i] :
          ( ! [A: $i,B_1: $i,C_4: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_1 ) @ C_4 ) ) ) )
         => ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[683]) ).

thf(990,plain,
    ( ( ! [Y_2: $i] :
          ~ ! [A: $i,B_1: $i,C_4: $i] :
              ( Y_2
             != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ B_1 ) @ C_4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[685]) ).

thf(991,plain,
    ( ( ! [Y_2: $i] :
          ~ ! [A: $i,B_1: $i,C_4: $i] :
              ( Y_2
             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_1 ) @ C_4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[686]) ).

thf(992,plain,
    ( ( ! [P_4: $i,T_5: $i] : ( hBOOL @ ( widen_2090681816t_char @ P_4 @ T_5 @ T_5 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[689]) ).

thf(993,plain,
    ( ( ! [F_1: $i,X_1: $i,Y_2: $i] :
          ( ( ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 )
            = F_1 )
        <=> ( ( hAPP_l207779698on_val @ F_1 @ X_1 )
            = Y_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[693]) ).

thf(994,plain,
    ( ( ! [F_1: $i,X_1: $i,Y_2: $i,Z: $i] :
          ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ X_1 @ Z )
          = ( fun_up1149430426on_val @ F_1 @ X_1 @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[697]) ).

thf(995,plain,
    ( ( ! [F_1: $i,X_1: $i,Y_2: $i] :
          ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ X_1 )
          = Y_2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[701]) ).

thf(996,plain,
    ( ( ! [F_1: $i,Y_2: $i,Z: $i,X_1: $i] :
          ( ( ( Z = X_1 )
           => ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
              = Y_2 ) )
          & ( ( Z != X_1 )
           => ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
              = ( hAPP_l207779698on_val @ F_1 @ Z ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[705]) ).

thf(997,plain,
    ( ( ! [M: $i,B: $i,D_1: $i,A_1: $i,C: $i] :
          ( ( A_1 != C )
         => ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M @ A_1 @ B ) @ C @ D_1 )
            = ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M @ C @ D_1 ) @ A_1 @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[709]) ).

thf(998,plain,
    ( ( ! [F_1: $i,Y_2: $i,Z: $i,X_1: $i] :
          ( ( Z != X_1 )
         => ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
            = ( hAPP_l207779698on_val @ F_1 @ Z ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[713]) ).

thf(999,plain,
    ( ( ! [F_1: $i,X_1: $i,Y_2: $i] :
          ( ( ( hAPP_l207779698on_val @ F_1 @ X_1 )
            = Y_2 )
         => ( ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 )
            = F_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[717]) ).

thf(1000,plain,
    ( ( ! [F_1: $i,B: $i,A_1: $i,X_2: $i] :
          ( ( ( X_2 = A_1 )
           => ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A_1 @ B ) @ X_2 )
              = B ) )
          & ( ( X_2 != A_1 )
           => ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A_1 @ B ) @ X_2 )
              = ( hAPP_l207779698on_val @ F_1 @ X_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[721]) ).

thf(1001,plain,
    ( ( ! [Pa: $i] :
          ( ! [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
        <=> ! [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[726]) ).

thf(1002,plain,
    ( ( ! [Pa: $i] :
          ( ! [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
        <=> ! [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[727]) ).

thf(1003,plain,
    ( ( ! [Pa: $i] :
          ( ! [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
        <=> ! [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[728]) ).

thf(1004,plain,
    ( ( ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
          ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B )
            = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_13 ) @ B_2 ) )
        <=> ( ( A_1 = A_13 )
            & ( B = B_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[733]) ).

thf(1005,plain,
    ( ( ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
          ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B )
            = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_13 ) @ B_2 ) )
        <=> ( ( A_1 = A_13 )
            & ( B = B_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[734]) ).

thf(1006,plain,
    ( ( ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
          ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B )
            = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_13 ) @ B_2 ) )
        <=> ( ( A_1 = A_13 )
            & ( B = B_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[735]) ).

thf(1007,plain,
    ( ( ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
          ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B )
            = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_13 ) @ B_2 ) )
         => ~ ( ( A_1 = A_13 )
             => ( B != B_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[740]) ).

thf(1008,plain,
    ( ( ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
          ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B )
            = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_13 ) @ B_2 ) )
         => ~ ( ( A_1 = A_13 )
             => ( B != B_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[741]) ).

thf(1009,plain,
    ( ( ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
          ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B )
            = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_13 ) @ B_2 ) )
         => ~ ( ( A_1 = A_13 )
             => ( B != B_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[742]) ).

thf(1010,plain,
    ( ( ! [Y_2: $i] :
          ~ ! [A: $i,B_1: $i,C_4: $i,D_2: $i] :
              ( Y_2
             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_1 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ C_4 ) @ D_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[744]) ).

thf(1011,plain,
    ( ( ! [X_1: $i,Pa: $i] :
          ( ! [A: $i,B_1: $i,C_4: $i,D_2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_1 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ C_4 ) @ D_2 ) ) ) ) )
         => ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[745]) ).

thf(1012,plain,
    ( ( ! [M: $i,A_1: $i,X_1: $i,N: $i,Y_2: $i] :
          ( ( ( fun_up204312361on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ X_1 ) )
            = ( fun_up204312361on_val @ N @ A_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
         => ( X_1 = Y_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[747]) ).

thf(1013,plain,
    ( ( ! [M: $i,A_1: $i,X_1: $i,N: $i,Y_2: $i] :
          ( ( ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ X_1 ) )
            = ( fun_up1149430426on_val @ N @ A_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
         => ( X_1 = Y_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[750]) ).

thf(1014,plain,
    ( ( ! [T_6: $i,K: $i,X_1: $i] :
          ( ( ( hAPP_P2094403585on_val @ T_6 @ K )
            = ( hAPP_val_option_val @ some_val @ X_1 ) )
         => ( ( fun_up204312361on_val @ T_6 @ K @ ( hAPP_val_option_val @ some_val @ X_1 ) )
            = T_6 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[751]) ).

thf(1015,plain,
    ( ( ! [T_6: $i,K: $i,X_1: $i] :
          ( ( ( hAPP_l207779698on_val @ T_6 @ K )
            = ( hAPP_val_option_val @ some_val @ X_1 ) )
         => ( ( fun_up1149430426on_val @ T_6 @ K @ ( hAPP_val_option_val @ some_val @ X_1 ) )
            = T_6 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[754]) ).

thf(1016,plain,
    ( ( ! [M: $i,A_1: $i,B: $i,X_1: $i,Y_2: $i] :
          ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
            = ( hAPP_val_option_val @ some_val @ Y_2 ) )
        <=> ( ( ( X_1 = A_1 )
              & ( B = Y_2 ) )
            | ( ( X_1 != A_1 )
              & ( ( hAPP_P2094403585on_val @ M @ X_1 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[755]) ).

thf(1017,plain,
    ( ( ! [M: $i,A_1: $i,B: $i,X_1: $i,Y_2: $i] :
          ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
            = ( hAPP_val_option_val @ some_val @ Y_2 ) )
        <=> ( ( ( X_1 = A_1 )
              & ( B = Y_2 ) )
            | ( ( X_1 != A_1 )
              & ( ( hAPP_l207779698on_val @ M @ X_1 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[758]) ).

thf(1018,plain,
    ( ( hBOOL @ ( wf_pro755087577t_char @ wf_J_mdecl @ p ) )
    = $true ),
    inference(unfold_def,[status(thm)],[759]) ).

thf(1019,plain,
    ( ( ! [F_1: $i,X_1: $i] :
          ( ( fun_up1149430426on_val @ F_1 @ X_1 @ ( hAPP_l207779698on_val @ F_1 @ X_1 ) )
          = F_1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[763]) ).

thf(1020,plain,
    ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[764]) ).

thf(1021,plain,
    ( ( ( hAPP_l207779698on_val @ l_a @ v_1 )
      = ( hAPP_val_option_val @ some_val @ v_2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[765]) ).

thf(1022,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member773094996on_val @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[804]) ).

thf(1023,plain,
    ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[807]) ).

thf(1024,plain,
    ( ( ! [P: $i] :
          ( ~ ( is_bool @ P )
          | ( P = fTrue )
          | ( P = fFalse ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[808]) ).

thf(1025,plain,
    ( ( ! [Bool: $i,Nat: $i] :
          ( ( bool @ Bool )
         != ( addr @ Nat ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[809]) ).

thf(1026,plain,
    ( ( ! [Nat: $i,Bool: $i] :
          ( ( addr @ Nat )
         != ( bool @ Bool ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[810]) ).

thf(1027,plain,
    ( ( ! [Bool_1: $i] :
          ( ( bool @ Bool_1 )
         != unit ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[811]) ).

thf(1028,plain,
    ( ( ! [Bool_1: $i] :
          ( unit
         != ( bool @ Bool_1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[812]) ).

thf(1029,plain,
    ( ( ! [Bool_1: $i] :
          ( ( bool @ Bool_1 )
         != null ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[813]) ).

thf(1030,plain,
    ( ( ! [Bool_1: $i] :
          ( null
         != ( bool @ Bool_1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[814]) ).

thf(1031,plain,
    ( ( ! [Bop: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ Eb @ Bop @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[815]) ).

thf(1032,plain,
    ( ( ! [Va: $i,Bop: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ Va ) @ Bop @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ Va ) @ Bop @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[816]) ).

thf(1033,plain,
    ( ( ! [Bop: $i,E_2: $i,Eb: $i,S_2_1: $i,E_1: $i,S_0: $i,V_1: $i,S_1: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_1 ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ V_1 ) ) @ S_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2 ) @ S_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_1 @ Bop @ E_2 ) ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[818]) ).

thf(1034,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i,Eb: $i] :
          ( ! [Ta: $i] :
              ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( throw_list_char @ Eb ) @ Ta ) )
          | ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ ( sK1_T_r @ Eb @ Ea @ Hb @ Pa ) ) )
            & ( hBOOL @ ( is_refT @ ( sK1_T_r @ Eb @ Ea @ Hb @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[819]) ).

thf(1035,plain,
    ( ( ! [Ta: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i,T_r_1: $i] :
          ( ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ T_r_1 ) )
          | ~ ( hBOOL @ ( is_refT @ T_r_1 ) )
          | ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( throw_list_char @ Eb ) @ Ta ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[820]) ).

thf(1036,plain,
    ( ( ! [F: $i,D: $i,Ta: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i] :
          ( ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ nt ) )
          | ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( fAcc_list_char @ Eb @ F @ D ) @ Ta ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[822]) ).

thf(1037,plain,
    ( ( ! [C_1: $i,Eb: $i,S_2: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[823]) ).

thf(1038,plain,
    ( ( ! [C_1: $i,Eb: $i,S_2: $i,A_1: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[824]) ).

thf(1039,plain,
    ( ( ! [C_1: $i,Va_1: $i,E_2: $i,Eb: $i,S_2: $i,Va: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ Va ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C_1 @ Va_1 @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ Va ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[825]) ).

thf(1040,plain,
    ( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S_2_1: $i,E_1: $i,S_0: $i,Va: $i,S_1: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_1 ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ Va ) ) @ S_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2 ) @ S_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_1 @ F @ D @ E_2 ) ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[827]) ).

thf(1041,plain,
    ( ( ! [F: $i,D: $i,Eb: $i,S_2: $i,A_1: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ Eb @ F @ D ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[828]) ).

thf(1042,plain,
    ( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ Eb @ F @ D @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[829]) ).

thf(1043,plain,
    ( ( ! [E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ Eb @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[830]) ).

thf(1044,plain,
    ( ( ! [Va_1: $i,Eb: $i,S_2: $i,A_1: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[831]) ).

thf(1045,plain,
    ( ( ! [Va: $i,F: $i,D: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ Va ) @ F @ D @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ Va ) @ F @ D @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[834]) ).

thf(1046,plain,
    ( ( ! [Pa: $i] :
          ( ~ ( hBOOL @ ( wf_pro755087577t_char @ wf_J_mdecl @ Pa ) )
          | ( hBOOL @ ( wf_pro755087577t_char @ wwf_J_mdecl @ Pa ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[835]) ).

thf(1047,plain,
    ( ( ! [Va_1: $i,Eb: $i] :
          ( ! [V_3: $i,E_3: $i] :
              ( Eb
             != ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ V_3 ) ) @ E_3 ) )
          | ( hBOOL @ ( assigned @ Va_1 @ Eb ) ) )
      & ! [Va_1: $i,Eb: $i] :
          ( ~ ( hBOOL @ ( assigned @ Va_1 @ Eb ) )
          | ( Eb
            = ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ ( sK2_V_3 @ Eb @ Va_1 ) ) ) @ ( sK3_SY853 @ Eb @ Va_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[836]) ).

thf(1048,plain,
    ( ( ! [Ta: $i,Eb: $i,Hb: $i,Lb: $i,Va_1: $i,Va: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( hAPP_val_option_val @ some_val @ Va ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ~ ( hBOOL @ ( final_list_char @ E_b ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ Eb ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_l207779698on_val @ Lb @ Va_1 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[837]) ).

thf(1049,plain,
    ( ( ! [Ta: $i,Eb: $i,Hb: $i,Lb: $i,Va_1: $i,Va: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( hAPP_val_option_val @ some_val @ Va ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ Eb ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ ( the_val @ ( hAPP_l207779698on_val @ L_b @ Va_1 ) ) ) ) @ E_b ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_l207779698on_val @ Lb @ Va_1 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[838]) ).

thf(1050,plain,
    ( ( ! [E_2: $i,E_2_1: $i,S_2_1: $i,E_1: $i,S_0: $i,V_1: $i,S_1: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_1 ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ V_1 ) ) @ S_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2 ) @ S_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2_1 ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_1 @ E_2 ) ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2_1 ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[839]) ).

thf(1051,plain,
    ( ( ! [Va_1: $i,Eb: $i,S_2: $i,Va: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ Va ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_val_option_val @ some_val @ Va ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[840]) ).

thf(1052,plain,
    ( ( ! [A_2: $i,Ty: $i,Exp: $i,Exp1: $i,Exp2: $i] :
          ( ( block_list_char @ A_2 @ Ty @ Exp )
         != ( seq_list_char @ Exp1 @ Exp2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[841]) ).

thf(1053,plain,
    ( ( ! [A_4: $i,Exp_2: $i,A_3: $i,Ty_1: $i,Exp_1: $i] :
          ( ( lAss_list_char @ A_4 @ Exp_2 )
         != ( block_list_char @ A_3 @ Ty_1 @ Exp_1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[842]) ).

thf(1054,plain,
    ( ( ! [Exp1_1: $i,Exp2_1: $i,A_5: $i,Ty_2: $i,Exp_3: $i] :
          ( ( seq_list_char @ Exp1_1 @ Exp2_1 )
         != ( block_list_char @ A_5 @ Ty_2 @ Exp_3 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[843]) ).

thf(1055,plain,
    ( ( ! [A_6: $i,Exp_4: $i,Exp1_2: $i,Exp2_2: $i] :
          ( ( lAss_list_char @ A_6 @ Exp_4 )
         != ( seq_list_char @ Exp1_2 @ Exp2_2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[844]) ).

thf(1056,plain,
    ( ( ! [Exp1_3: $i,Exp2_3: $i,A_7: $i,Exp_5: $i] :
          ( ( seq_list_char @ Exp1_3 @ Exp2_3 )
         != ( lAss_list_char @ A_7 @ Exp_5 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[845]) ).

thf(1057,plain,
    ( ( ! [A_9: $i,Ty_3: $i,Exp_6: $i,Val: $i] :
          ( ( block_list_char @ A_9 @ Ty_3 @ Exp_6 )
         != ( val_list_char @ Val ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[846]) ).

thf(1058,plain,
    ( ( ! [Val_1: $i,A_10: $i,Ty_4: $i,Exp_7: $i] :
          ( ( val_list_char @ Val_1 )
         != ( block_list_char @ A_10 @ Ty_4 @ Exp_7 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[847]) ).

thf(1059,plain,
    ( ( ! [A_11: $i,Exp_8: $i,Val_2: $i] :
          ( ( lAss_list_char @ A_11 @ Exp_8 )
         != ( val_list_char @ Val_2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[848]) ).

thf(1060,plain,
    ( ( ! [Exp1_4: $i,Exp2_4: $i,Val_3: $i] :
          ( ( seq_list_char @ Exp1_4 @ Exp2_4 )
         != ( val_list_char @ Val_3 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[849]) ).

thf(1061,plain,
    ( ( ! [Val_4: $i,A_12: $i,Exp_9: $i] :
          ( ( val_list_char @ Val_4 )
         != ( lAss_list_char @ A_12 @ Exp_9 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[850]) ).

thf(1062,plain,
    ( ( ! [Val_5: $i,Exp1_5: $i,Exp2_5: $i] :
          ( ( val_list_char @ Val_5 )
         != ( seq_list_char @ Exp1_5 @ Exp2_5 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[851]) ).

thf(1063,plain,
    ( ( ! [A_1: $i,Ty_6: $i,Exp_11: $i,A_13: $i] :
          ( ! [Ty_5: $i,Exp_10: $i] :
              ( ( A_1 != A_13 )
              | ( Ty_6 != Ty_5 )
              | ( Exp_11 != Exp_10 )
              | ( ( block_list_char @ A_1 @ Ty_6 @ Exp_11 )
                = ( block_list_char @ A_13 @ Ty_5 @ Exp_10 ) ) )
          & ( ! [Ty_5: $i,Exp_10: $i] :
                ( ( block_list_char @ A_1 @ Ty_6 @ Exp_11 )
               != ( block_list_char @ A_13 @ Ty_5 @ Exp_10 ) )
            | ( A_1 = A_13 ) )
          & ! [Ty_5: $i] :
              ( ! [Exp_10: $i] :
                  ( ( block_list_char @ A_1 @ Ty_6 @ Exp_11 )
                 != ( block_list_char @ A_13 @ Ty_5 @ Exp_10 ) )
              | ( Ty_6 = Ty_5 ) )
          & ! [Ty_5: $i,Exp_10: $i] :
              ( ( ( block_list_char @ A_1 @ Ty_6 @ Exp_11 )
               != ( block_list_char @ A_13 @ Ty_5 @ Exp_10 ) )
              | ( Exp_11 = Exp_10 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[852]) ).

thf(1064,plain,
    ( ( ! [A_1: $i,Exp_11: $i] :
          ( ! [A_13: $i,Exp_10: $i] :
              ( ( A_1 != A_13 )
              | ( Exp_11 != Exp_10 )
              | ( ( lAss_list_char @ A_1 @ Exp_11 )
                = ( lAss_list_char @ A_13 @ Exp_10 ) ) )
          & ! [A_13: $i] :
              ( ! [Exp_10: $i] :
                  ( ( lAss_list_char @ A_1 @ Exp_11 )
                 != ( lAss_list_char @ A_13 @ Exp_10 ) )
              | ( A_1 = A_13 ) )
          & ! [A_13: $i,Exp_10: $i] :
              ( ( ( lAss_list_char @ A_1 @ Exp_11 )
               != ( lAss_list_char @ A_13 @ Exp_10 ) )
              | ( Exp_11 = Exp_10 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[853]) ).

thf(1065,plain,
    ( ( ! [Exp1_7: $i,Exp2_7: $i] :
          ( ! [Exp1_6: $i,Exp2_6: $i] :
              ( ( Exp1_7 != Exp1_6 )
              | ( Exp2_7 != Exp2_6 )
              | ( ( seq_list_char @ Exp1_7 @ Exp2_7 )
                = ( seq_list_char @ Exp1_6 @ Exp2_6 ) ) )
          & ! [Exp1_6: $i] :
              ( ! [Exp2_6: $i] :
                  ( ( seq_list_char @ Exp1_7 @ Exp2_7 )
                 != ( seq_list_char @ Exp1_6 @ Exp2_6 ) )
              | ( Exp1_7 = Exp1_6 ) )
          & ! [Exp1_6: $i,Exp2_6: $i] :
              ( ( ( seq_list_char @ Exp1_7 @ Exp2_7 )
               != ( seq_list_char @ Exp1_6 @ Exp2_6 ) )
              | ( Exp2_7 = Exp2_6 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[854]) ).

thf(1066,plain,
    ( ( ! [Val_7: $i,Val_6: $i] :
          ( ( ( val_list_char @ Val_7 )
           != ( val_list_char @ Val_6 ) )
          | ( Val_7 = Val_6 ) )
      & ! [Val_7: $i,Val_6: $i] :
          ( ( Val_7 != Val_6 )
          | ( ( val_list_char @ Val_7 )
            = ( val_list_char @ Val_6 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[855]) ).

thf(1067,plain,
    ( ( ! [A_15: $i,Ty_7: $i,Exp_13: $i,A_14: $i,Exp_12: $i] :
          ( ( block_list_char @ A_15 @ Ty_7 @ Exp_13 )
         != ( lAss_list_char @ A_14 @ Exp_12 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[856]) ).

thf(1068,plain,
    ( ( ! [A_1: $i,M: $i] :
          ( ~ ( hBOOL @ ( member_list_char @ A_1 @ ( dom_list_char_val @ M ) ) )
          | ( ( hAPP_l207779698on_val @ M @ A_1 )
            = ( hAPP_val_option_val @ some_val @ ( sK4_B_1 @ M @ A_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[857]) ).

thf(1069,plain,
    ( ( ! [A_1: $i,M: $i] :
          ( ~ ( hBOOL @ ( member1251428284t_char @ A_1 @ ( dom_Pr695701035ar_val @ M ) ) )
          | ( ( hAPP_P2094403585on_val @ M @ A_1 )
            = ( hAPP_val_option_val @ some_val @ ( sK5_B_1 @ M @ A_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[858]) ).

thf(1070,plain,
    ( ( ! [Ta: $i,V_a: $i,Eb: $i,Hb: $i,Lb: $i,Va_1: $i,Va: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( hAPP_val_option_val @ some_val @ Va ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
          | ( ( hAPP_l207779698on_val @ L_b @ Va_1 )
           != ( hAPP_val_option_val @ some_val @ V_a ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ Eb ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ V_a ) ) @ E_b ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_l207779698on_val @ Lb @ Va_1 ) ) ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[860]) ).

thf(1071,plain,
    ( ( ! [M: $i,A_1: $i] :
          ( ! [B: $i] :
              ( ( hAPP_l207779698on_val @ M @ A_1 )
             != ( hAPP_val_option_val @ some_val @ B ) )
          | ( hBOOL @ ( member_list_char @ A_1 @ ( dom_list_char_val @ M ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[861]) ).

thf(1072,plain,
    ( ( ! [M: $i,A_1: $i] :
          ( ! [B: $i] :
              ( ( hAPP_P2094403585on_val @ M @ A_1 )
             != ( hAPP_val_option_val @ some_val @ B ) )
          | ( hBOOL @ ( member1251428284t_char @ A_1 @ ( dom_Pr695701035ar_val @ M ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[862]) ).

thf(1073,plain,
    ( ( ! [E1: $i,U1: $i,M: $i,E2: $i] :
          ( ( hBOOL @ ( member_list_char @ M @ ( dom_list_char_val @ E2 ) ) )
          | ( ( map_ad325961431ar_val @ ( fun_up1149430426on_val @ E1 @ M @ ( hAPP_val_option_val @ some_val @ U1 ) ) @ E2 )
            = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ E1 @ E2 ) @ M @ ( hAPP_val_option_val @ some_val @ U1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[863]) ).

thf(1074,plain,
    ( ( ! [E1: $i,U1: $i,M: $i,E2: $i] :
          ( ( hBOOL @ ( member1251428284t_char @ M @ ( dom_Pr695701035ar_val @ E2 ) ) )
          | ( ( map_ad1185064968ar_val @ ( fun_up204312361on_val @ E1 @ M @ ( hAPP_val_option_val @ some_val @ U1 ) ) @ E2 )
            = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ E1 @ E2 ) @ M @ ( hAPP_val_option_val @ some_val @ U1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[864]) ).

thf(1075,plain,
    ( ( ! [L2: $i,M: $i,L1: $i] :
          ( ( hBOOL @ ( member_list_char @ M @ ( dom_list_char_val @ L1 ) ) )
          | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ L1 @ L2 ) @ M )
            = ( hAPP_l207779698on_val @ L2 @ M ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[868]) ).

thf(1076,plain,
    ( ( ! [L2: $i,M: $i,L1: $i] :
          ( ( hBOOL @ ( member1251428284t_char @ M @ ( dom_Pr695701035ar_val @ L1 ) ) )
          | ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ L1 @ L2 ) @ M )
            = ( hAPP_P2094403585on_val @ L2 @ M ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[869]) ).

thf(1077,plain,
    ( ( ! [L1: $i,M: $i,L2: $i] :
          ( ( hBOOL @ ( member_list_char @ M @ ( dom_list_char_val @ L2 ) ) )
          | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ L1 @ L2 ) @ M )
            = ( hAPP_l207779698on_val @ L1 @ M ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[870]) ).

thf(1078,plain,
    ( ( ! [L1: $i,M: $i,L2: $i] :
          ( ( hBOOL @ ( member1251428284t_char @ M @ ( dom_Pr695701035ar_val @ L2 ) ) )
          | ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ L1 @ L2 ) @ M )
            = ( hAPP_P2094403585on_val @ L1 @ M ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[871]) ).

thf(1079,plain,
    ( ( ! [L1: $i,M: $i,L2: $i] :
          ( ~ ( hBOOL @ ( member_list_char @ M @ ( dom_list_char_val @ L2 ) ) )
          | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ L1 @ L2 ) @ M )
            = ( hAPP_l207779698on_val @ L2 @ M ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[872]) ).

thf(1080,plain,
    ( ( ! [L1: $i,M: $i,L2: $i] :
          ( ~ ( hBOOL @ ( member1251428284t_char @ M @ ( dom_Pr695701035ar_val @ L2 ) ) )
          | ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ L1 @ L2 ) @ M )
            = ( hAPP_P2094403585on_val @ L2 @ M ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[873]) ).

thf(1081,plain,
    ( ( ! [F_1: $i] :
          ( ! [X_1: $i,Y_2: $i] :
              ( ( ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 )
               != F_1 )
              | ( ( hAPP_P2094403585on_val @ F_1 @ X_1 )
                = Y_2 ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( ( hAPP_P2094403585on_val @ F_1 @ X_1 )
               != Y_2 )
              | ( ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 )
                = F_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[874]) ).

thf(1082,plain,
    ( ( ! [F_1: $i,Y_2: $i] :
          ( ! [Z: $i,X_1: $i] :
              ( ( Z != X_1 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
                = Y_2 ) )
          & ! [Z: $i,X_1: $i] :
              ( ( Z = X_1 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
                = ( hAPP_P2094403585on_val @ F_1 @ Z ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[877]) ).

thf(1083,plain,
    ( ( ! [M: $i,B: $i,D_1: $i,A_1: $i,C: $i] :
          ( ( A_1 = C )
          | ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ M @ A_1 @ B ) @ C @ D_1 )
            = ( fun_up204312361on_val @ ( fun_up204312361on_val @ M @ C @ D_1 ) @ A_1 @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[878]) ).

thf(1084,plain,
    ( ( ! [F_1: $i,Y_2: $i,Z: $i,X_1: $i] :
          ( ( Z = X_1 )
          | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
            = ( hAPP_P2094403585on_val @ F_1 @ Z ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[879]) ).

thf(1085,plain,
    ( ( ! [F_1: $i,X_1: $i,Y_2: $i] :
          ( ( ( hAPP_P2094403585on_val @ F_1 @ X_1 )
           != Y_2 )
          | ( ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 )
            = F_1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[880]) ).

thf(1086,plain,
    ( ( ! [F_1: $i,B: $i] :
          ( ! [A_1: $i,X_2: $i] :
              ( ( X_2 != A_1 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ A_1 @ B ) @ X_2 )
                = B ) )
          & ! [A_1: $i,X_2: $i] :
              ( ( X_2 = A_1 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ A_1 @ B ) @ X_2 )
                = ( hAPP_P2094403585on_val @ F_1 @ X_2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[881]) ).

thf(1087,plain,
    ( ( ! [Ta: $i,Ea: $i] :
          ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa807100911_sconf @ p @ Ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) )
          | ~ ( hBOOL @ ( wTrt @ p @ ha @ Ea @ ea @ Ta ) )
          | ( ( hBOOL @ ( wTrt @ p @ h_a @ Ea @ e_a @ ( sK6_T_3 @ Ea @ Ta ) ) )
            & ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK6_T_3 @ Ea @ Ta ) @ Ta ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[882]) ).

thf(1088,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(extcnf_combined,[status(esa)],[907]) ).

thf(1089,plain,
    ( ( ! [Bool: $i,Bool_1: $i] :
          ( ~ ( hBOOL @ Bool )
          | ~ ( hBOOL @ Bool_1 )
          | ( ( bool @ Bool )
            = ( bool @ Bool_1 ) ) )
      & ! [Bool: $i,Bool_1: $i] :
          ( ( hBOOL @ Bool )
          | ( hBOOL @ Bool_1 )
          | ( ( bool @ Bool )
            = ( bool @ Bool_1 ) ) )
      & ! [Bool: $i,Bool_1: $i] :
          ( ( ( bool @ Bool )
           != ( bool @ Bool_1 ) )
          | ~ ( hBOOL @ Bool )
          | ( hBOOL @ Bool_1 ) )
      & ! [Bool: $i,Bool_1: $i] :
          ( ( ( bool @ Bool )
           != ( bool @ Bool_1 ) )
          | ~ ( hBOOL @ Bool_1 )
          | ( hBOOL @ Bool ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[920]) ).

thf(1090,plain,
    ( ( ! [Bop: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ Eb @ Bop @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_b @ Bop @ E_2 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[921]) ).

thf(1091,plain,
    ( ( ! [V_1: $i,Bop: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ V_1 ) @ Bop @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ V_1 ) @ Bop @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[923]) ).

thf(1092,plain,
    ( ( ! [Bop: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ Eb @ Bop @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_b @ Bop @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[924]) ).

thf(1093,plain,
    ( ( ! [C_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[925]) ).

thf(1094,plain,
    ( ( ! [C_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[927]) ).

thf(1095,plain,
    ( ( ! [C_1: $i,Va_1: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C_1 @ Va_1 @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ E_b @ C_1 @ Va_1 @ E_2 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[928]) ).

thf(1096,plain,
    ( ( ! [C_1: $i,Va_1: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C_1 @ Va_1 @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ E_b @ C_1 @ Va_1 @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[930]) ).

thf(1097,plain,
    ( ( ! [Eb: $i,S_2: $i,A_1: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[935]) ).

thf(1098,plain,
    ( ( ! [Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[936]) ).

thf(1099,plain,
    ( ( ! [Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[937]) ).

thf(1100,plain,
    ( ( ! [F: $i,D: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ Eb @ F @ D ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ E_b @ F @ D ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[939]) ).

thf(1101,plain,
    ( ( ! [F: $i,D: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ Eb @ F @ D ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ E_b @ F @ D ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[940]) ).

thf(1102,plain,
    ( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ Eb @ F @ D @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_b @ F @ D @ E_2 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[941]) ).

thf(1103,plain,
    ( ( ! [Va: $i,F: $i,D: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ Va ) @ F @ D @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ Va ) @ F @ D @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[942]) ).

thf(1104,plain,
    ( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ Eb @ F @ D @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_b @ F @ D @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[943]) ).

thf(1105,plain,
    ( ( ! [L_0_1: $i,Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( map_ad325961431ar_val @ L_0_1 @ Lb ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( map_ad325961431ar_val @ L_0_1 @ L_b ) ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[944]) ).

thf(1106,plain,
    ( ( ! [Va_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[945]) ).

thf(1107,plain,
    ( ( ! [E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ Eb @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[946]) ).

thf(1108,plain,
    ( ( ! [Va_1: $i] :
          ( ! [Eb: $i,A_8: $i] :
              ( ~ ( hBOOL @ ( d_list_char @ ( lAss_list_char @ Va_1 @ Eb ) @ A_8 ) )
              | ( hBOOL @ ( d_list_char @ Eb @ A_8 ) ) )
          & ! [Eb: $i,A_8: $i] :
              ( ~ ( hBOOL @ ( d_list_char @ Eb @ A_8 ) )
              | ( hBOOL @ ( d_list_char @ ( lAss_list_char @ Va_1 @ Eb ) @ A_8 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[948]) ).

thf(1109,plain,
    ( ( ! [H_b: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
          ( ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ Ta ) )
          | ~ ( hBOOL @ ( hext @ Hb @ H_b ) )
          | ( hBOOL @ ( wTrt @ Pa @ H_b @ Ea @ Eb @ Ta ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[949]) ).

thf(1110,plain,
    ( ( ! [H_3: $i,Hb: $i,H_b: $i] :
          ( ~ ( hBOOL @ ( hext @ Hb @ H_b ) )
          | ~ ( hBOOL @ ( hext @ H_b @ H_3 ) )
          | ( hBOOL @ ( hext @ Hb @ H_3 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[950]) ).

thf(1111,plain,
    ( ( ! [E_2: $i,T_2_1: $i,Pa: $i,Hb: $i,Ea: $i,E_1: $i] :
          ( ! [T_1_2: $i] :
              ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_1 @ T_1_2 ) )
          | ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_2 @ T_2_1 ) )
          | ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( seq_list_char @ E_1 @ E_2 ) @ T_2_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[952]) ).

thf(1112,plain,
    ( ( ! [E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ Eb @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[955]) ).

thf(1113,plain,
    ( ( ! [Va_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[956]) ).

thf(1114,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( member1251428284t_char @ X_1 @ A_8 ) )
          | ( hBOOL @ ( hAPP_P449474095r_bool @ A_8 @ X_1 ) ) )
      & ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( hAPP_P449474095r_bool @ A_8 @ X_1 ) )
          | ( hBOOL @ ( member1251428284t_char @ X_1 @ A_8 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[957]) ).

thf(1115,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ X_1 @ A_8 ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ A_8 @ X_1 ) ) )
      & ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ A_8 @ X_1 ) )
          | ( hBOOL @ ( member773094996on_val @ X_1 @ A_8 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[958]) ).

thf(1116,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( member840932460on_val @ X_1 @ A_8 ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ A_8 @ X_1 ) ) )
      & ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ A_8 @ X_1 ) )
          | ( hBOOL @ ( member840932460on_val @ X_1 @ A_8 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[959]) ).

thf(1117,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( member763590124on_val @ X_1 @ A_8 ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ A_8 @ X_1 ) ) )
      & ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ A_8 @ X_1 ) )
          | ( hBOOL @ ( member763590124on_val @ X_1 @ A_8 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[960]) ).

thf(1118,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( member1542417277on_val @ X_1 @ A_8 ) )
          | ( hBOOL @ ( hAPP_P1235399154l_bool @ A_8 @ X_1 ) ) )
      & ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1235399154l_bool @ A_8 @ X_1 ) )
          | ( hBOOL @ ( member1542417277on_val @ X_1 @ A_8 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[961]) ).

thf(1119,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( member1417904245al_val @ X_1 @ A_8 ) )
          | ( hBOOL @ ( hAPP_P943837928l_bool @ A_8 @ X_1 ) ) )
      & ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( hAPP_P943837928l_bool @ A_8 @ X_1 ) )
          | ( hBOOL @ ( member1417904245al_val @ X_1 @ A_8 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[962]) ).

thf(1120,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( member649088532al_val @ X_1 @ A_8 ) )
          | ( hBOOL @ ( hAPP_P929938951l_bool @ A_8 @ X_1 ) ) )
      & ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( hAPP_P929938951l_bool @ A_8 @ X_1 ) )
          | ( hBOOL @ ( member649088532al_val @ X_1 @ A_8 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[963]) ).

thf(1121,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( member_nat @ X_1 @ A_8 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ A_8 @ X_1 ) ) )
      & ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ A_8 @ X_1 ) )
          | ( hBOOL @ ( member_nat @ X_1 @ A_8 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[964]) ).

thf(1122,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( member_list_char @ X_1 @ A_8 ) )
          | ( hBOOL @ ( hAPP_list_char_bool @ A_8 @ X_1 ) ) )
      & ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( hAPP_list_char_bool @ A_8 @ X_1 ) )
          | ( hBOOL @ ( member_list_char @ X_1 @ A_8 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[965]) ).

thf(1123,plain,
    ( ( ! [M: $i,N: $i,K: $i,Xx: $i] :
          ( ( ( hAPP_l207779698on_val @ N @ K )
           != ( hAPP_val_option_val @ some_val @ Xx ) )
          | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M @ N ) @ K )
            = ( hAPP_val_option_val @ some_val @ Xx ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[966]) ).

thf(1124,plain,
    ( ( ! [M: $i,N: $i,K: $i,Xx: $i] :
          ( ( ( hAPP_P2094403585on_val @ N @ K )
           != ( hAPP_val_option_val @ some_val @ Xx ) )
          | ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ M @ N ) @ K )
            = ( hAPP_val_option_val @ some_val @ Xx ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[967]) ).

thf(1125,plain,
    ( ( ! [T_a: $i,Pa: $i,Hb: $i,Va: $i,Ta: $i] :
          ( ~ ( hBOOL @ ( conf_P373316194t_char @ Pa @ Hb @ Va @ Ta ) )
          | ~ ( hBOOL @ ( widen_2090681816t_char @ Pa @ Ta @ T_a ) )
          | ( hBOOL @ ( conf_P373316194t_char @ Pa @ Hb @ Va @ T_a ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[970]) ).

thf(1126,plain,
    ( ( ! [Pa: $i,Va: $i,Ta: $i,Hb: $i,H_b: $i] :
          ( ~ ( hBOOL @ ( hext @ Hb @ H_b ) )
          | ~ ( hBOOL @ ( conf_P373316194t_char @ Pa @ Hb @ Va @ Ta ) )
          | ( hBOOL @ ( conf_P373316194t_char @ Pa @ H_b @ Va @ Ta ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[971]) ).

thf(1127,plain,
    ( ( ! [L_0_1: $i,Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( map_ad325961431ar_val @ L_0_1 @ Lb ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( map_ad325961431ar_val @ L_0_1 @ L_b ) ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[972]) ).

thf(1128,plain,
    ( ( ! [A_1: $i,A_13: $i] :
          ( ( ( hAPP_val_option_val @ some_val @ A_1 )
           != ( hAPP_val_option_val @ some_val @ A_13 ) )
          | ( A_1 = A_13 ) )
      & ! [A_1: $i,A_13: $i] :
          ( ( A_1 != A_13 )
          | ( ( hAPP_val_option_val @ some_val @ A_1 )
            = ( hAPP_val_option_val @ some_val @ A_13 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[973]) ).

thf(1129,plain,
    ( ( ! [Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i] :
          ( ! [L_b: $i,Pa: $i] :
              ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hext @ Hb @ H_b ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[974]) ).

thf(1130,plain,
    ( ( ! [T_4: $i,P_2: $i,S_5: $i,U_1: $i] :
          ( ~ ( hBOOL @ ( widen_2090681816t_char @ P_2 @ S_5 @ U_1 ) )
          | ~ ( hBOOL @ ( widen_2090681816t_char @ P_2 @ U_1 @ T_4 ) )
          | ( hBOOL @ ( widen_2090681816t_char @ P_2 @ S_5 @ T_4 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[975]) ).

thf(1131,plain,
    ( ( ! [Pa: $i] :
          ( ! [X1: $i] :
              ~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK8_A @ Pa ) ) @ ( sK9_SY854 @ Pa ) ) ) ) )
      & ! [Pa: $i] :
          ( ! [A: $i,B_1: $i] :
              ~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B_1 ) ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( sK7_X1 @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[976]) ).

thf(1132,plain,
    ( ( ! [Pa: $i] :
          ( ! [X1: $i] :
              ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK11_A @ Pa ) ) @ ( sK12_SY855 @ Pa ) ) ) ) )
      & ! [Pa: $i] :
          ( ! [A: $i,B_1: $i] :
              ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B_1 ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( sK10_X1 @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[977]) ).

thf(1133,plain,
    ( ( ! [Pa: $i] :
          ( ! [X1: $i] :
              ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_A @ Pa ) ) @ ( sK15_SY856 @ Pa ) ) ) ) )
      & ! [Pa: $i] :
          ( ! [A: $i,B_1: $i] :
              ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B_1 ) ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( sK13_X1 @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[978]) ).

thf(1134,plain,
    ( ( ! [P_1: $i] :
          ( P_1
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK16_X_2 @ P_1 ) ) @ ( sK17_SY857 @ P_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[979]) ).

thf(1135,plain,
    ( ( ! [P_1: $i] :
          ( P_1
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK18_X_2 @ P_1 ) ) @ ( sK19_SY858 @ P_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[980]) ).

thf(1136,plain,
    ( ( ! [P_1: $i] :
          ( P_1
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK20_X_2 @ P_1 ) ) @ ( sK21_SY859 @ P_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[981]) ).

thf(1137,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK22_A @ Y_2 ) ) @ ( sK23_SY860 @ Y_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[982]) ).

thf(1138,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK24_A @ Y_2 ) ) @ ( sK25_SY861 @ Y_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[983]) ).

thf(1139,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK26_A @ Y_2 ) ) @ ( sK27_SY862 @ Y_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[984]) ).

thf(1140,plain,
    ( ( ! [S_6: $i,R_1: $i] :
          ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ R_1 @ S_6 ) ) @ ( sK29_SY863 @ R_1 @ S_6 ) ) @ R_1 ) )
              | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ R_1 @ S_6 ) ) @ ( sK29_SY863 @ R_1 @ S_6 ) ) @ S_6 ) ) )
            & ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ R_1 @ S_6 ) ) @ ( sK29_SY863 @ R_1 @ S_6 ) ) @ R_1 ) )
              | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ R_1 @ S_6 ) ) @ ( sK29_SY863 @ R_1 @ S_6 ) ) @ S_6 ) ) ) )
          | ( R_1 = S_6 ) )
      & ! [S_6: $i,R_1: $i] :
          ( ( R_1 != S_6 )
          | ( ! [X_2: $i,Xa: $i] :
                ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Xa ) @ R_1 ) )
                | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Xa ) @ S_6 ) ) )
            & ! [X_2: $i,Xa: $i] :
                ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Xa ) @ S_6 ) )
                | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Xa ) @ R_1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[985]) ).

thf(1141,plain,
    ( ( ! [S_6: $i,R_1: $i] :
          ( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ R_1 @ S_6 ) ) @ ( sK31_SY864 @ R_1 @ S_6 ) ) @ R_1 ) )
              | ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ R_1 @ S_6 ) ) @ ( sK31_SY864 @ R_1 @ S_6 ) ) @ S_6 ) ) )
            & ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ R_1 @ S_6 ) ) @ ( sK31_SY864 @ R_1 @ S_6 ) ) @ R_1 ) )
              | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ R_1 @ S_6 ) ) @ ( sK31_SY864 @ R_1 @ S_6 ) ) @ S_6 ) ) ) )
          | ( R_1 = S_6 ) )
      & ! [S_6: $i,R_1: $i] :
          ( ( R_1 != S_6 )
          | ( ! [X_2: $i,Xa: $i] :
                ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Xa ) @ R_1 ) )
                | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Xa ) @ S_6 ) ) )
            & ! [X_2: $i,Xa: $i] :
                ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Xa ) @ S_6 ) )
                | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Xa ) @ R_1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[986]) ).

thf(1142,plain,
    ( ( ! [S_6: $i,R_1: $i] :
          ( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ R_1 @ S_6 ) ) @ ( sK33_SY865 @ R_1 @ S_6 ) ) @ R_1 ) )
              | ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ R_1 @ S_6 ) ) @ ( sK33_SY865 @ R_1 @ S_6 ) ) @ S_6 ) ) )
            & ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ R_1 @ S_6 ) ) @ ( sK33_SY865 @ R_1 @ S_6 ) ) @ R_1 ) )
              | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ R_1 @ S_6 ) ) @ ( sK33_SY865 @ R_1 @ S_6 ) ) @ S_6 ) ) ) )
          | ( R_1 = S_6 ) )
      & ! [S_6: $i,R_1: $i] :
          ( ( R_1 != S_6 )
          | ( ! [X_2: $i,Xa: $i] :
                ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Xa ) @ R_1 ) )
                | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Xa ) @ S_6 ) ) )
            & ! [X_2: $i,Xa: $i] :
                ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Xa ) @ S_6 ) )
                | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Xa ) @ R_1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[987]) ).

thf(1143,plain,
    ( ( ! [X_1: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK34_A @ Pa @ X_1 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK35_SY866 @ Pa @ X_1 ) ) @ ( sK36_SY868 @ Pa @ X_1 ) ) ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[988]) ).

thf(1144,plain,
    ( ( ! [X_1: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK37_A @ Pa @ X_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK38_SY869 @ Pa @ X_1 ) ) @ ( sK39_SY871 @ Pa @ X_1 ) ) ) ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[989]) ).

thf(1145,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_A @ Y_2 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK41_SY872 @ Y_2 ) ) @ ( sK42_SY874 @ Y_2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[990]) ).

thf(1146,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_A @ Y_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY875 @ Y_2 ) ) @ ( sK45_SY877 @ Y_2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[991]) ).

thf(1147,plain,
    ( ( ! [F_1: $i] :
          ( ! [X_1: $i,Y_2: $i] :
              ( ( ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 )
               != F_1 )
              | ( ( hAPP_l207779698on_val @ F_1 @ X_1 )
                = Y_2 ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( ( hAPP_l207779698on_val @ F_1 @ X_1 )
               != Y_2 )
              | ( ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 )
                = F_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[993]) ).

thf(1148,plain,
    ( ( ! [F_1: $i,Y_2: $i] :
          ( ! [Z: $i,X_1: $i] :
              ( ( Z != X_1 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
                = Y_2 ) )
          & ! [Z: $i,X_1: $i] :
              ( ( Z = X_1 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
                = ( hAPP_l207779698on_val @ F_1 @ Z ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[996]) ).

thf(1149,plain,
    ( ( ! [M: $i,B: $i,D_1: $i,A_1: $i,C: $i] :
          ( ( A_1 = C )
          | ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M @ A_1 @ B ) @ C @ D_1 )
            = ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M @ C @ D_1 ) @ A_1 @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[997]) ).

thf(1150,plain,
    ( ( ! [F_1: $i,Y_2: $i,Z: $i,X_1: $i] :
          ( ( Z = X_1 )
          | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
            = ( hAPP_l207779698on_val @ F_1 @ Z ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[998]) ).

thf(1151,plain,
    ( ( ! [F_1: $i,X_1: $i,Y_2: $i] :
          ( ( ( hAPP_l207779698on_val @ F_1 @ X_1 )
           != Y_2 )
          | ( ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 )
            = F_1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[999]) ).

thf(1152,plain,
    ( ( ! [F_1: $i,B: $i] :
          ( ! [A_1: $i,X_2: $i] :
              ( ( X_2 != A_1 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A_1 @ B ) @ X_2 )
                = B ) )
          & ! [A_1: $i,X_2: $i] :
              ( ( X_2 = A_1 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A_1 @ B ) @ X_2 )
                = ( hAPP_l207779698on_val @ F_1 @ X_2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1000]) ).

thf(1153,plain,
    ( ( ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( sK48_X1 @ Pa ) ) )
          | ! [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B_1 ) ) ) )
      & ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK46_A @ Pa ) ) @ ( sK47_SY878 @ Pa ) ) ) )
          | ! [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1001]) ).

thf(1154,plain,
    ( ( ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( sK51_X1 @ Pa ) ) )
          | ! [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B_1 ) ) ) )
      & ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK49_A @ Pa ) ) @ ( sK50_SY879 @ Pa ) ) ) )
          | ! [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1002]) ).

thf(1155,plain,
    ( ( ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( sK54_X1 @ Pa ) ) )
          | ! [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B_1 ) ) ) )
      & ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK52_A @ Pa ) ) @ ( sK53_SY880 @ Pa ) ) ) )
          | ! [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1003]) ).

thf(1156,plain,
    ( ( ! [A_1: $i,B: $i] :
          ( ! [A_13: $i,B_2: $i] :
              ( ( A_1 != A_13 )
              | ( B != B_2 )
              | ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B )
                = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_13 ) @ B_2 ) ) )
          & ! [A_13: $i] :
              ( ! [B_2: $i] :
                  ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B )
                 != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_13 ) @ B_2 ) )
              | ( A_1 = A_13 ) )
          & ! [A_13: $i,B_2: $i] :
              ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B )
               != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_13 ) @ B_2 ) )
              | ( B = B_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1004]) ).

thf(1157,plain,
    ( ( ! [A_1: $i,B: $i] :
          ( ! [A_13: $i,B_2: $i] :
              ( ( A_1 != A_13 )
              | ( B != B_2 )
              | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B )
                = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_13 ) @ B_2 ) ) )
          & ! [A_13: $i] :
              ( ! [B_2: $i] :
                  ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B )
                 != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_13 ) @ B_2 ) )
              | ( A_1 = A_13 ) )
          & ! [A_13: $i,B_2: $i] :
              ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B )
               != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_13 ) @ B_2 ) )
              | ( B = B_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1005]) ).

thf(1158,plain,
    ( ( ! [A_1: $i,B: $i] :
          ( ! [A_13: $i,B_2: $i] :
              ( ( A_1 != A_13 )
              | ( B != B_2 )
              | ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B )
                = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_13 ) @ B_2 ) ) )
          & ! [A_13: $i] :
              ( ! [B_2: $i] :
                  ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B )
                 != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_13 ) @ B_2 ) )
              | ( A_1 = A_13 ) )
          & ! [A_13: $i,B_2: $i] :
              ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B )
               != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_13 ) @ B_2 ) )
              | ( B = B_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1006]) ).

thf(1159,plain,
    ( ( ! [A_1: $i,B: $i] :
          ( ! [A_13: $i] :
              ( ! [B_2: $i] :
                  ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B )
                 != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_13 ) @ B_2 ) )
              | ( A_1 = A_13 ) )
          & ! [A_13: $i,B_2: $i] :
              ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B )
               != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_13 ) @ B_2 ) )
              | ( B = B_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1007]) ).

thf(1160,plain,
    ( ( ! [A_1: $i,B: $i] :
          ( ! [A_13: $i] :
              ( ! [B_2: $i] :
                  ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B )
                 != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_13 ) @ B_2 ) )
              | ( A_1 = A_13 ) )
          & ! [A_13: $i,B_2: $i] :
              ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B )
               != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_13 ) @ B_2 ) )
              | ( B = B_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1008]) ).

thf(1161,plain,
    ( ( ! [A_1: $i,B: $i] :
          ( ! [A_13: $i] :
              ( ! [B_2: $i] :
                  ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B )
                 != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_13 ) @ B_2 ) )
              | ( A_1 = A_13 ) )
          & ! [A_13: $i,B_2: $i] :
              ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B )
               != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_13 ) @ B_2 ) )
              | ( B = B_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1009]) ).

thf(1162,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK55_A @ Y_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK56_SY881 @ Y_2 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK57_SY884 @ Y_2 ) ) @ ( sK58_SY886 @ Y_2 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1010]) ).

thf(1163,plain,
    ( ( ! [X_1: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK59_A @ Pa @ X_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK60_SY887 @ Pa @ X_1 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK61_SY890 @ Pa @ X_1 ) ) @ ( sK62_SY892 @ Pa @ X_1 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1011]) ).

thf(1164,plain,
    ( ( ! [M: $i,A_1: $i,X_1: $i,N: $i,Y_2: $i] :
          ( ( ( fun_up204312361on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ X_1 ) )
           != ( fun_up204312361on_val @ N @ A_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          | ( X_1 = Y_2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1012]) ).

thf(1165,plain,
    ( ( ! [M: $i,A_1: $i,X_1: $i,N: $i,Y_2: $i] :
          ( ( ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ X_1 ) )
           != ( fun_up1149430426on_val @ N @ A_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          | ( X_1 = Y_2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1013]) ).

thf(1166,plain,
    ( ( ! [T_6: $i,K: $i,X_1: $i] :
          ( ( ( hAPP_P2094403585on_val @ T_6 @ K )
           != ( hAPP_val_option_val @ some_val @ X_1 ) )
          | ( ( fun_up204312361on_val @ T_6 @ K @ ( hAPP_val_option_val @ some_val @ X_1 ) )
            = T_6 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1014]) ).

thf(1167,plain,
    ( ( ! [T_6: $i,K: $i,X_1: $i] :
          ( ( ( hAPP_l207779698on_val @ T_6 @ K )
           != ( hAPP_val_option_val @ some_val @ X_1 ) )
          | ( ( fun_up1149430426on_val @ T_6 @ K @ ( hAPP_val_option_val @ some_val @ X_1 ) )
            = T_6 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1015]) ).

thf(1168,plain,
    ( ( ! [M: $i,A_1: $i,B: $i] :
          ( ! [X_1: $i] :
              ( ! [Y_2: $i] :
                  ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
                 != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( X_1 = A_1 )
              | ( X_1 != A_1 ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( X_1 = A_1 )
              | ( ( hAPP_P2094403585on_val @ M @ X_1 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( B = Y_2 )
              | ( X_1 != A_1 ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( B = Y_2 )
              | ( ( hAPP_P2094403585on_val @ M @ X_1 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( X_1 != A_1 )
              | ( B != Y_2 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( X_1 = A_1 )
              | ( ( hAPP_P2094403585on_val @ M @ X_1 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1016]) ).

thf(1169,plain,
    ( ( ! [M: $i,A_1: $i,B: $i] :
          ( ! [X_1: $i] :
              ( ! [Y_2: $i] :
                  ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
                 != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( X_1 = A_1 )
              | ( X_1 != A_1 ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( X_1 = A_1 )
              | ( ( hAPP_l207779698on_val @ M @ X_1 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( B = Y_2 )
              | ( X_1 != A_1 ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( B = Y_2 )
              | ( ( hAPP_l207779698on_val @ M @ X_1 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( X_1 != A_1 )
              | ( B != Y_2 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( X_1 = A_1 )
              | ( ( hAPP_l207779698on_val @ M @ X_1 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1017]) ).

thf(1170,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member773094996on_val @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1022]) ).

thf(1171,plain,
    ( ( ( hAPP_l207779698on_val @ l_a @ v_1 )
      = ( hAPP_val_option_val @ some_val @ v_2 ) )
    = $true ),
    inference(copy,[status(thm)],[1021]) ).

thf(1172,plain,
    ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) )
    = $true ),
    inference(copy,[status(thm)],[1020]) ).

thf(1173,plain,
    ( ( ! [F_1: $i,X_1: $i] :
          ( ( fun_up1149430426on_val @ F_1 @ X_1 @ ( hAPP_l207779698on_val @ F_1 @ X_1 ) )
          = F_1 ) )
    = $true ),
    inference(copy,[status(thm)],[1019]) ).

thf(1174,plain,
    ( ( hBOOL @ ( wf_pro755087577t_char @ wf_J_mdecl @ p ) )
    = $true ),
    inference(copy,[status(thm)],[1018]) ).

thf(1175,plain,
    ( ( ! [M: $i,A_1: $i,B: $i] :
          ( ! [X_1: $i] :
              ( ! [Y_2: $i] :
                  ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
                 != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( X_1 = A_1 )
              | ( X_1 != A_1 ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( X_1 = A_1 )
              | ( ( hAPP_l207779698on_val @ M @ X_1 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( B = Y_2 )
              | ( X_1 != A_1 ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( B = Y_2 )
              | ( ( hAPP_l207779698on_val @ M @ X_1 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( X_1 != A_1 )
              | ( B != Y_2 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( X_1 = A_1 )
              | ( ( hAPP_l207779698on_val @ M @ X_1 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1169]) ).

thf(1176,plain,
    ( ( ! [M: $i,A_1: $i,B: $i] :
          ( ! [X_1: $i] :
              ( ! [Y_2: $i] :
                  ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
                 != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( X_1 = A_1 )
              | ( X_1 != A_1 ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( X_1 = A_1 )
              | ( ( hAPP_P2094403585on_val @ M @ X_1 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( B = Y_2 )
              | ( X_1 != A_1 ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( B = Y_2 )
              | ( ( hAPP_P2094403585on_val @ M @ X_1 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( X_1 != A_1 )
              | ( B != Y_2 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( X_1 = A_1 )
              | ( ( hAPP_P2094403585on_val @ M @ X_1 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1168]) ).

thf(1177,plain,
    ( ( ! [T_6: $i,K: $i,X_1: $i] :
          ( ( ( hAPP_l207779698on_val @ T_6 @ K )
           != ( hAPP_val_option_val @ some_val @ X_1 ) )
          | ( ( fun_up1149430426on_val @ T_6 @ K @ ( hAPP_val_option_val @ some_val @ X_1 ) )
            = T_6 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1167]) ).

thf(1178,plain,
    ( ( ! [T_6: $i,K: $i,X_1: $i] :
          ( ( ( hAPP_P2094403585on_val @ T_6 @ K )
           != ( hAPP_val_option_val @ some_val @ X_1 ) )
          | ( ( fun_up204312361on_val @ T_6 @ K @ ( hAPP_val_option_val @ some_val @ X_1 ) )
            = T_6 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1166]) ).

thf(1179,plain,
    ( ( ! [M: $i,A_1: $i,X_1: $i,N: $i,Y_2: $i] :
          ( ( ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ X_1 ) )
           != ( fun_up1149430426on_val @ N @ A_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          | ( X_1 = Y_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1165]) ).

thf(1180,plain,
    ( ( ! [M: $i,A_1: $i,X_1: $i,N: $i,Y_2: $i] :
          ( ( ( fun_up204312361on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ X_1 ) )
           != ( fun_up204312361on_val @ N @ A_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          | ( X_1 = Y_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1164]) ).

thf(1181,plain,
    ( ( ! [X_1: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK59_A @ Pa @ X_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK60_SY887 @ Pa @ X_1 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK61_SY890 @ Pa @ X_1 ) ) @ ( sK62_SY892 @ Pa @ X_1 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1163]) ).

thf(1182,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK55_A @ Y_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK56_SY881 @ Y_2 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK57_SY884 @ Y_2 ) ) @ ( sK58_SY886 @ Y_2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1162]) ).

thf(1183,plain,
    ( ( ! [A_1: $i,B: $i] :
          ( ! [A_13: $i] :
              ( ! [B_2: $i] :
                  ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B )
                 != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_13 ) @ B_2 ) )
              | ( A_1 = A_13 ) )
          & ! [A_13: $i,B_2: $i] :
              ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B )
               != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_13 ) @ B_2 ) )
              | ( B = B_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1161]) ).

thf(1184,plain,
    ( ( ! [A_1: $i,B: $i] :
          ( ! [A_13: $i] :
              ( ! [B_2: $i] :
                  ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B )
                 != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_13 ) @ B_2 ) )
              | ( A_1 = A_13 ) )
          & ! [A_13: $i,B_2: $i] :
              ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B )
               != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_13 ) @ B_2 ) )
              | ( B = B_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1160]) ).

thf(1185,plain,
    ( ( ! [A_1: $i,B: $i] :
          ( ! [A_13: $i] :
              ( ! [B_2: $i] :
                  ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B )
                 != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_13 ) @ B_2 ) )
              | ( A_1 = A_13 ) )
          & ! [A_13: $i,B_2: $i] :
              ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B )
               != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_13 ) @ B_2 ) )
              | ( B = B_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1159]) ).

thf(1186,plain,
    ( ( ! [A_1: $i,B: $i] :
          ( ! [A_13: $i,B_2: $i] :
              ( ( A_1 != A_13 )
              | ( B != B_2 )
              | ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B )
                = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_13 ) @ B_2 ) ) )
          & ! [A_13: $i] :
              ( ! [B_2: $i] :
                  ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B )
                 != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_13 ) @ B_2 ) )
              | ( A_1 = A_13 ) )
          & ! [A_13: $i,B_2: $i] :
              ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B )
               != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_13 ) @ B_2 ) )
              | ( B = B_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1158]) ).

thf(1187,plain,
    ( ( ! [A_1: $i,B: $i] :
          ( ! [A_13: $i,B_2: $i] :
              ( ( A_1 != A_13 )
              | ( B != B_2 )
              | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B )
                = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_13 ) @ B_2 ) ) )
          & ! [A_13: $i] :
              ( ! [B_2: $i] :
                  ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B )
                 != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_13 ) @ B_2 ) )
              | ( A_1 = A_13 ) )
          & ! [A_13: $i,B_2: $i] :
              ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B )
               != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_13 ) @ B_2 ) )
              | ( B = B_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1157]) ).

thf(1188,plain,
    ( ( ! [A_1: $i,B: $i] :
          ( ! [A_13: $i,B_2: $i] :
              ( ( A_1 != A_13 )
              | ( B != B_2 )
              | ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B )
                = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_13 ) @ B_2 ) ) )
          & ! [A_13: $i] :
              ( ! [B_2: $i] :
                  ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B )
                 != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_13 ) @ B_2 ) )
              | ( A_1 = A_13 ) )
          & ! [A_13: $i,B_2: $i] :
              ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B )
               != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_13 ) @ B_2 ) )
              | ( B = B_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1156]) ).

thf(1189,plain,
    ( ( ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( sK54_X1 @ Pa ) ) )
          | ! [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B_1 ) ) ) )
      & ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK52_A @ Pa ) ) @ ( sK53_SY880 @ Pa ) ) ) )
          | ! [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1155]) ).

thf(1190,plain,
    ( ( ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( sK51_X1 @ Pa ) ) )
          | ! [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B_1 ) ) ) )
      & ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK49_A @ Pa ) ) @ ( sK50_SY879 @ Pa ) ) ) )
          | ! [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1154]) ).

thf(1191,plain,
    ( ( ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( sK48_X1 @ Pa ) ) )
          | ! [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B_1 ) ) ) )
      & ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK46_A @ Pa ) ) @ ( sK47_SY878 @ Pa ) ) ) )
          | ! [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1153]) ).

thf(1192,plain,
    ( ( ! [F_1: $i,B: $i] :
          ( ! [A_1: $i,X_2: $i] :
              ( ( X_2 != A_1 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A_1 @ B ) @ X_2 )
                = B ) )
          & ! [A_1: $i,X_2: $i] :
              ( ( X_2 = A_1 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A_1 @ B ) @ X_2 )
                = ( hAPP_l207779698on_val @ F_1 @ X_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1152]) ).

thf(1193,plain,
    ( ( ! [F_1: $i,X_1: $i,Y_2: $i] :
          ( ( ( hAPP_l207779698on_val @ F_1 @ X_1 )
           != Y_2 )
          | ( ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 )
            = F_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1151]) ).

thf(1194,plain,
    ( ( ! [F_1: $i,Y_2: $i,Z: $i,X_1: $i] :
          ( ( Z = X_1 )
          | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
            = ( hAPP_l207779698on_val @ F_1 @ Z ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1150]) ).

thf(1195,plain,
    ( ( ! [M: $i,B: $i,D_1: $i,A_1: $i,C: $i] :
          ( ( A_1 = C )
          | ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M @ A_1 @ B ) @ C @ D_1 )
            = ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M @ C @ D_1 ) @ A_1 @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1149]) ).

thf(1196,plain,
    ( ( ! [F_1: $i,Y_2: $i] :
          ( ! [Z: $i,X_1: $i] :
              ( ( Z != X_1 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
                = Y_2 ) )
          & ! [Z: $i,X_1: $i] :
              ( ( Z = X_1 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
                = ( hAPP_l207779698on_val @ F_1 @ Z ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1148]) ).

thf(1197,plain,
    ( ( ! [F_1: $i,X_1: $i,Y_2: $i] :
          ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ X_1 )
          = Y_2 ) )
    = $true ),
    inference(copy,[status(thm)],[995]) ).

thf(1198,plain,
    ( ( ! [F_1: $i,X_1: $i,Y_2: $i,Z: $i] :
          ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ X_1 @ Z )
          = ( fun_up1149430426on_val @ F_1 @ X_1 @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[994]) ).

thf(1199,plain,
    ( ( ! [F_1: $i] :
          ( ! [X_1: $i,Y_2: $i] :
              ( ( ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 )
               != F_1 )
              | ( ( hAPP_l207779698on_val @ F_1 @ X_1 )
                = Y_2 ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( ( hAPP_l207779698on_val @ F_1 @ X_1 )
               != Y_2 )
              | ( ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 )
                = F_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1147]) ).

thf(1200,plain,
    ( ( ! [P_4: $i,T_5: $i] : ( hBOOL @ ( widen_2090681816t_char @ P_4 @ T_5 @ T_5 ) ) )
    = $true ),
    inference(copy,[status(thm)],[992]) ).

thf(1201,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_A @ Y_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY875 @ Y_2 ) ) @ ( sK45_SY877 @ Y_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1146]) ).

thf(1202,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_A @ Y_2 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK41_SY872 @ Y_2 ) ) @ ( sK42_SY874 @ Y_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1145]) ).

thf(1203,plain,
    ( ( ! [X_1: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK37_A @ Pa @ X_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK38_SY869 @ Pa @ X_1 ) ) @ ( sK39_SY871 @ Pa @ X_1 ) ) ) ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1144]) ).

thf(1204,plain,
    ( ( ! [X_1: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK34_A @ Pa @ X_1 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK35_SY866 @ Pa @ X_1 ) ) @ ( sK36_SY868 @ Pa @ X_1 ) ) ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1143]) ).

thf(1205,plain,
    ( ( ! [S_6: $i,R_1: $i] :
          ( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ R_1 @ S_6 ) ) @ ( sK33_SY865 @ R_1 @ S_6 ) ) @ R_1 ) )
              | ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ R_1 @ S_6 ) ) @ ( sK33_SY865 @ R_1 @ S_6 ) ) @ S_6 ) ) )
            & ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ R_1 @ S_6 ) ) @ ( sK33_SY865 @ R_1 @ S_6 ) ) @ R_1 ) )
              | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ R_1 @ S_6 ) ) @ ( sK33_SY865 @ R_1 @ S_6 ) ) @ S_6 ) ) ) )
          | ( R_1 = S_6 ) )
      & ! [S_6: $i,R_1: $i] :
          ( ( R_1 != S_6 )
          | ( ! [X_2: $i,Xa: $i] :
                ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Xa ) @ R_1 ) )
                | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Xa ) @ S_6 ) ) )
            & ! [X_2: $i,Xa: $i] :
                ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Xa ) @ S_6 ) )
                | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Xa ) @ R_1 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1142]) ).

thf(1206,plain,
    ( ( ! [S_6: $i,R_1: $i] :
          ( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ R_1 @ S_6 ) ) @ ( sK31_SY864 @ R_1 @ S_6 ) ) @ R_1 ) )
              | ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ R_1 @ S_6 ) ) @ ( sK31_SY864 @ R_1 @ S_6 ) ) @ S_6 ) ) )
            & ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ R_1 @ S_6 ) ) @ ( sK31_SY864 @ R_1 @ S_6 ) ) @ R_1 ) )
              | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ R_1 @ S_6 ) ) @ ( sK31_SY864 @ R_1 @ S_6 ) ) @ S_6 ) ) ) )
          | ( R_1 = S_6 ) )
      & ! [S_6: $i,R_1: $i] :
          ( ( R_1 != S_6 )
          | ( ! [X_2: $i,Xa: $i] :
                ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Xa ) @ R_1 ) )
                | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Xa ) @ S_6 ) ) )
            & ! [X_2: $i,Xa: $i] :
                ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Xa ) @ S_6 ) )
                | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Xa ) @ R_1 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1141]) ).

thf(1207,plain,
    ( ( ! [S_6: $i,R_1: $i] :
          ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ R_1 @ S_6 ) ) @ ( sK29_SY863 @ R_1 @ S_6 ) ) @ R_1 ) )
              | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ R_1 @ S_6 ) ) @ ( sK29_SY863 @ R_1 @ S_6 ) ) @ S_6 ) ) )
            & ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ R_1 @ S_6 ) ) @ ( sK29_SY863 @ R_1 @ S_6 ) ) @ R_1 ) )
              | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ R_1 @ S_6 ) ) @ ( sK29_SY863 @ R_1 @ S_6 ) ) @ S_6 ) ) ) )
          | ( R_1 = S_6 ) )
      & ! [S_6: $i,R_1: $i] :
          ( ( R_1 != S_6 )
          | ( ! [X_2: $i,Xa: $i] :
                ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Xa ) @ R_1 ) )
                | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Xa ) @ S_6 ) ) )
            & ! [X_2: $i,Xa: $i] :
                ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Xa ) @ S_6 ) )
                | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Xa ) @ R_1 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1140]) ).

thf(1208,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK26_A @ Y_2 ) ) @ ( sK27_SY862 @ Y_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1139]) ).

thf(1209,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK24_A @ Y_2 ) ) @ ( sK25_SY861 @ Y_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1138]) ).

thf(1210,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK22_A @ Y_2 ) ) @ ( sK23_SY860 @ Y_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1137]) ).

thf(1211,plain,
    ( ( ! [P_1: $i] :
          ( P_1
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK20_X_2 @ P_1 ) ) @ ( sK21_SY859 @ P_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1136]) ).

thf(1212,plain,
    ( ( ! [P_1: $i] :
          ( P_1
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK18_X_2 @ P_1 ) ) @ ( sK19_SY858 @ P_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1135]) ).

thf(1213,plain,
    ( ( ! [P_1: $i] :
          ( P_1
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK16_X_2 @ P_1 ) ) @ ( sK17_SY857 @ P_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1134]) ).

thf(1214,plain,
    ( ( ! [Pa: $i] :
          ( ! [X1: $i] :
              ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_A @ Pa ) ) @ ( sK15_SY856 @ Pa ) ) ) ) )
      & ! [Pa: $i] :
          ( ! [A: $i,B_1: $i] :
              ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B_1 ) ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( sK13_X1 @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1133]) ).

thf(1215,plain,
    ( ( ! [Pa: $i] :
          ( ! [X1: $i] :
              ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK11_A @ Pa ) ) @ ( sK12_SY855 @ Pa ) ) ) ) )
      & ! [Pa: $i] :
          ( ! [A: $i,B_1: $i] :
              ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B_1 ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( sK10_X1 @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1132]) ).

thf(1216,plain,
    ( ( ! [Pa: $i] :
          ( ! [X1: $i] :
              ~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK8_A @ Pa ) ) @ ( sK9_SY854 @ Pa ) ) ) ) )
      & ! [Pa: $i] :
          ( ! [A: $i,B_1: $i] :
              ~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B_1 ) ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( sK7_X1 @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1131]) ).

thf(1217,plain,
    ( ( ! [T_4: $i,P_2: $i,S_5: $i,U_1: $i] :
          ( ~ ( hBOOL @ ( widen_2090681816t_char @ P_2 @ S_5 @ U_1 ) )
          | ~ ( hBOOL @ ( widen_2090681816t_char @ P_2 @ U_1 @ T_4 ) )
          | ( hBOOL @ ( widen_2090681816t_char @ P_2 @ S_5 @ T_4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1130]) ).

thf(1218,plain,
    ( ( ! [Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i] :
          ( ! [L_b: $i,Pa: $i] :
              ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hext @ Hb @ H_b ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1129]) ).

thf(1219,plain,
    ( ( ! [A_1: $i,A_13: $i] :
          ( ( ( hAPP_val_option_val @ some_val @ A_1 )
           != ( hAPP_val_option_val @ some_val @ A_13 ) )
          | ( A_1 = A_13 ) )
      & ! [A_1: $i,A_13: $i] :
          ( ( A_1 != A_13 )
          | ( ( hAPP_val_option_val @ some_val @ A_1 )
            = ( hAPP_val_option_val @ some_val @ A_13 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1128]) ).

thf(1220,plain,
    ( ( ! [L_0_1: $i,Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( map_ad325961431ar_val @ L_0_1 @ Lb ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( map_ad325961431ar_val @ L_0_1 @ L_b ) ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1127]) ).

thf(1221,plain,
    ( ( ! [Pa: $i,Va: $i,Ta: $i,Hb: $i,H_b: $i] :
          ( ~ ( hBOOL @ ( hext @ Hb @ H_b ) )
          | ~ ( hBOOL @ ( conf_P373316194t_char @ Pa @ Hb @ Va @ Ta ) )
          | ( hBOOL @ ( conf_P373316194t_char @ Pa @ H_b @ Va @ Ta ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1126]) ).

thf(1222,plain,
    ( ( ! [T_a: $i,Pa: $i,Hb: $i,Va: $i,Ta: $i] :
          ( ~ ( hBOOL @ ( conf_P373316194t_char @ Pa @ Hb @ Va @ Ta ) )
          | ~ ( hBOOL @ ( widen_2090681816t_char @ Pa @ Ta @ T_a ) )
          | ( hBOOL @ ( conf_P373316194t_char @ Pa @ Hb @ Va @ T_a ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1125]) ).

thf(1223,plain,
    ( ( ! [Va: $i,E_2: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( val_list_char @ Va ) @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2 ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[969]) ).

thf(1224,plain,
    ( ( ! [Va_1: $i,Ta: $i,U: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( val_list_char @ U ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ U ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[968]) ).

thf(1225,plain,
    ( ( ! [M: $i,N: $i,K: $i,Xx: $i] :
          ( ( ( hAPP_P2094403585on_val @ N @ K )
           != ( hAPP_val_option_val @ some_val @ Xx ) )
          | ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ M @ N ) @ K )
            = ( hAPP_val_option_val @ some_val @ Xx ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1124]) ).

thf(1226,plain,
    ( ( ! [M: $i,N: $i,K: $i,Xx: $i] :
          ( ( ( hAPP_l207779698on_val @ N @ K )
           != ( hAPP_val_option_val @ some_val @ Xx ) )
          | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M @ N ) @ K )
            = ( hAPP_val_option_val @ some_val @ Xx ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1123]) ).

thf(1227,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( member_list_char @ X_1 @ A_8 ) )
          | ( hBOOL @ ( hAPP_list_char_bool @ A_8 @ X_1 ) ) )
      & ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( hAPP_list_char_bool @ A_8 @ X_1 ) )
          | ( hBOOL @ ( member_list_char @ X_1 @ A_8 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1122]) ).

thf(1228,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( member_nat @ X_1 @ A_8 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ A_8 @ X_1 ) ) )
      & ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ A_8 @ X_1 ) )
          | ( hBOOL @ ( member_nat @ X_1 @ A_8 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1121]) ).

thf(1229,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( member649088532al_val @ X_1 @ A_8 ) )
          | ( hBOOL @ ( hAPP_P929938951l_bool @ A_8 @ X_1 ) ) )
      & ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( hAPP_P929938951l_bool @ A_8 @ X_1 ) )
          | ( hBOOL @ ( member649088532al_val @ X_1 @ A_8 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1120]) ).

thf(1230,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( member1417904245al_val @ X_1 @ A_8 ) )
          | ( hBOOL @ ( hAPP_P943837928l_bool @ A_8 @ X_1 ) ) )
      & ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( hAPP_P943837928l_bool @ A_8 @ X_1 ) )
          | ( hBOOL @ ( member1417904245al_val @ X_1 @ A_8 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1119]) ).

thf(1231,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( member1542417277on_val @ X_1 @ A_8 ) )
          | ( hBOOL @ ( hAPP_P1235399154l_bool @ A_8 @ X_1 ) ) )
      & ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1235399154l_bool @ A_8 @ X_1 ) )
          | ( hBOOL @ ( member1542417277on_val @ X_1 @ A_8 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1118]) ).

thf(1232,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( member763590124on_val @ X_1 @ A_8 ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ A_8 @ X_1 ) ) )
      & ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ A_8 @ X_1 ) )
          | ( hBOOL @ ( member763590124on_val @ X_1 @ A_8 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1117]) ).

thf(1233,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( member840932460on_val @ X_1 @ A_8 ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ A_8 @ X_1 ) ) )
      & ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ A_8 @ X_1 ) )
          | ( hBOOL @ ( member840932460on_val @ X_1 @ A_8 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1116]) ).

thf(1234,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ X_1 @ A_8 ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ A_8 @ X_1 ) ) )
      & ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ A_8 @ X_1 ) )
          | ( hBOOL @ ( member773094996on_val @ X_1 @ A_8 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1115]) ).

thf(1235,plain,
    ( ( ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( member1251428284t_char @ X_1 @ A_8 ) )
          | ( hBOOL @ ( hAPP_P449474095r_bool @ A_8 @ X_1 ) ) )
      & ! [X_1: $i,A_8: $i] :
          ( ~ ( hBOOL @ ( hAPP_P449474095r_bool @ A_8 @ X_1 ) )
          | ( hBOOL @ ( member1251428284t_char @ X_1 @ A_8 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1114]) ).

thf(1236,plain,
    ( ( ! [Va_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1113]) ).

thf(1237,plain,
    ( ( ! [E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ Eb @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1112]) ).

thf(1238,plain,
    ( ( ! [F_1: $i,G: $i,X_1: $i,Y_2: $i] :
          ( ( map_ad325961431ar_val @ F_1 @ ( fun_up1149430426on_val @ G @ X_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ F_1 @ G ) @ X_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[954]) ).

thf(1239,plain,
    ( ( ! [F_1: $i,G: $i,X_1: $i,Y_2: $i] :
          ( ( map_ad1185064968ar_val @ F_1 @ ( fun_up204312361on_val @ G @ X_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ F_1 @ G ) @ X_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[953]) ).

thf(1240,plain,
    ( ( ! [E_2: $i,T_2_1: $i,Pa: $i,Hb: $i,Ea: $i,E_1: $i] :
          ( ! [T_1_2: $i] :
              ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_1 @ T_1_2 ) )
          | ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_2 @ T_2_1 ) )
          | ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( seq_list_char @ E_1 @ E_2 ) @ T_2_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1111]) ).

thf(1241,plain,
    ( ( ! [Hb: $i] : ( hBOOL @ ( hext @ Hb @ Hb ) ) )
    = $true ),
    inference(copy,[status(thm)],[951]) ).

thf(1242,plain,
    ( ( ! [H_3: $i,Hb: $i,H_b: $i] :
          ( ~ ( hBOOL @ ( hext @ Hb @ H_b ) )
          | ~ ( hBOOL @ ( hext @ H_b @ H_3 ) )
          | ( hBOOL @ ( hext @ Hb @ H_3 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1110]) ).

thf(1243,plain,
    ( ( ! [H_b: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
          ( ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ Ta ) )
          | ~ ( hBOOL @ ( hext @ Hb @ H_b ) )
          | ( hBOOL @ ( wTrt @ Pa @ H_b @ Ea @ Eb @ Ta ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1109]) ).

thf(1244,plain,
    ( ( ! [Va_1: $i] :
          ( ! [Eb: $i,A_8: $i] :
              ( ~ ( hBOOL @ ( d_list_char @ ( lAss_list_char @ Va_1 @ Eb ) @ A_8 ) )
              | ( hBOOL @ ( d_list_char @ Eb @ A_8 ) ) )
          & ! [Eb: $i,A_8: $i] :
              ( ~ ( hBOOL @ ( d_list_char @ Eb @ A_8 ) )
              | ( hBOOL @ ( d_list_char @ ( lAss_list_char @ Va_1 @ Eb ) @ A_8 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1108]) ).

thf(1245,plain,
    ( ( ! [Va: $i,A_8: $i] : ( hBOOL @ ( d_list_char @ ( val_list_char @ Va ) @ A_8 ) ) )
    = $true ),
    inference(copy,[status(thm)],[947]) ).

thf(1246,plain,
    ( ( ! [E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ Eb @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1107]) ).

thf(1247,plain,
    ( ( ! [Va_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1106]) ).

thf(1248,plain,
    ( ( ! [L_0_1: $i,Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( map_ad325961431ar_val @ L_0_1 @ Lb ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( map_ad325961431ar_val @ L_0_1 @ L_b ) ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1105]) ).

thf(1249,plain,
    ( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ Eb @ F @ D @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_b @ F @ D @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1104]) ).

thf(1250,plain,
    ( ( ! [Va: $i,F: $i,D: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ Va ) @ F @ D @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ Va ) @ F @ D @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1103]) ).

thf(1251,plain,
    ( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ Eb @ F @ D @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_b @ F @ D @ E_2 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1102]) ).

thf(1252,plain,
    ( ( ! [F: $i,D: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ Eb @ F @ D ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ E_b @ F @ D ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1101]) ).

thf(1253,plain,
    ( ( ! [F: $i,D: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ Eb @ F @ D ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ E_b @ F @ D ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1100]) ).

thf(1254,plain,
    ( ( ! [Eb: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( throw_list_char @ Eb ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[938]) ).

thf(1255,plain,
    ( ( ! [Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1099]) ).

thf(1256,plain,
    ( ( ! [Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1098]) ).

thf(1257,plain,
    ( ( ! [Eb: $i,S_2: $i,A_1: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1097]) ).

thf(1258,plain,
    ( ( ! [Va_1: $i,Eb: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ ( throw_list_char @ Eb ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[934]) ).

thf(1259,plain,
    ( ( ! [Eb: $i,E_2: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( throw_list_char @ Eb ) @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[933]) ).

thf(1260,plain,
    ( ( ! [Eb: $i,F: $i,D: $i,E_2: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( throw_list_char @ Eb ) @ F @ D @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[932]) ).

thf(1261,plain,
    ( ( ! [Eb: $i,F: $i,D: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ ( throw_list_char @ Eb ) @ F @ D ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[931]) ).

thf(1262,plain,
    ( ( ! [C_1: $i,Va_1: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C_1 @ Va_1 @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ E_b @ C_1 @ Va_1 @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1096]) ).

thf(1263,plain,
    ( ( ! [Va: $i,C_1: $i,Va_1: $i,E_2: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ ( val_list_char @ Va ) @ C_1 @ Va_1 @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ Va ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[929]) ).

thf(1264,plain,
    ( ( ! [C_1: $i,Va_1: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C_1 @ Va_1 @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ E_b @ C_1 @ Va_1 @ E_2 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1095]) ).

thf(1265,plain,
    ( ( ! [C_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1094]) ).

thf(1266,plain,
    ( ( ! [C_1: $i,Eb: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ ( throw_list_char @ Eb ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[926]) ).

thf(1267,plain,
    ( ( ! [C_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1093]) ).

thf(1268,plain,
    ( ( ! [Bop: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ Eb @ Bop @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_b @ Bop @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1092]) ).

thf(1269,plain,
    ( ( ! [V_1: $i,Bop: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ V_1 ) @ Bop @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ V_1 ) @ Bop @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1091]) ).

thf(1270,plain,
    ( ( ! [Eb: $i,Bop: $i,E_2: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( throw_list_char @ Eb ) @ Bop @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[922]) ).

thf(1271,plain,
    ( ( ! [Bop: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ Eb @ Bop @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_b @ Bop @ E_2 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1090]) ).

thf(1272,plain,
    ( ( ! [Bool: $i,Bool_1: $i] :
          ( ~ ( hBOOL @ Bool )
          | ~ ( hBOOL @ Bool_1 )
          | ( ( bool @ Bool )
            = ( bool @ Bool_1 ) ) )
      & ! [Bool: $i,Bool_1: $i] :
          ( ( hBOOL @ Bool )
          | ( hBOOL @ Bool_1 )
          | ( ( bool @ Bool )
            = ( bool @ Bool_1 ) ) )
      & ! [Bool: $i,Bool_1: $i] :
          ( ( ( bool @ Bool )
           != ( bool @ Bool_1 ) )
          | ~ ( hBOOL @ Bool )
          | ( hBOOL @ Bool_1 ) )
      & ! [Bool: $i,Bool_1: $i] :
          ( ( ( bool @ Bool )
           != ( bool @ Bool_1 ) )
          | ~ ( hBOOL @ Bool_1 )
          | ( hBOOL @ Bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[1089]) ).

thf(1273,plain,
    ( ( ~ ( hBOOL @ fFalse ) )
    = $true ),
    inference(copy,[status(thm)],[919]) ).

thf(1274,plain,
    ( ( ! [B_1_1: $i] : ( is_bool @ ( final_list_char @ B_1_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[918]) ).

thf(1275,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i,B_3_1: $i,B_4_1: $i] : ( is_bool @ ( conf_P373316194t_char @ B_1_1 @ B_2_1 @ B_3_1 @ B_4_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[917]) ).

thf(1276,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( d_list_char @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[916]) ).

thf(1277,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hext @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[915]) ).

thf(1278,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( assigned @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[914]) ).

thf(1279,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i,B_3_1: $i] : ( is_bool @ ( widen_2090681816t_char @ B_1_1 @ B_2_1 @ B_3_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[913]) ).

thf(1280,plain,
    ( ( ! [B_1_1: $i] : ( is_bool @ ( is_refT @ B_1_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[912]) ).

thf(1281,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( wf_pro755087577t_char @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[911]) ).

thf(1282,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i,B_3_1: $i,B_4_1: $i,B_5: $i] : ( is_bool @ ( wTrt @ B_1_1 @ B_2_1 @ B_3_1 @ B_4_1 @ B_5 ) ) )
    = $true ),
    inference(copy,[status(thm)],[910]) ).

thf(1283,plain,
    ( ( is_bool @ fFalse )
    = $true ),
    inference(copy,[status(thm)],[909]) ).

thf(1284,plain,
    ( ( is_bool @ fTrue )
    = $true ),
    inference(copy,[status(thm)],[908]) ).

thf(1285,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)],[1088]) ).

thf(1286,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_list_char_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[906]) ).

thf(1287,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)],[905]) ).

thf(1288,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_val_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[904]) ).

thf(1289,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1001225811y_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[903]) ).

thf(1290,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1033709212l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[902]) ).

thf(1291,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f61040418l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[901]) ).

thf(1292,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1715346603l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[900]) ).

thf(1293,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P943837928l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[899]) ).

thf(1294,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1708370145l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[898]) ).

thf(1295,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P449474095r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[897]) ).

thf(1296,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1235399154l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[896]) ).

thf(1297,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1384137393r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[895]) ).

thf(1298,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P929938951l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[894]) ).

thf(1299,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P159683425l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[893]) ).

thf(1300,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P282169671l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[892]) ).

thf(1301,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member_list_char @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[891]) ).

thf(1302,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member_nat @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[890]) ).

thf(1303,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member1417904245al_val @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[889]) ).

thf(1304,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member840932460on_val @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[888]) ).

thf(1305,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member1251428284t_char @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[887]) ).

thf(1306,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member1542417277on_val @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[886]) ).

thf(1307,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member649088532al_val @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[885]) ).

thf(1308,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member763590124on_val @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[884]) ).

thf(1309,plain,
    ( ( ! [F_1: $i,X_1: $i] :
          ( ( fun_up204312361on_val @ F_1 @ X_1 @ ( hAPP_P2094403585on_val @ F_1 @ X_1 ) )
          = F_1 ) )
    = $true ),
    inference(copy,[status(thm)],[883]) ).

thf(1310,plain,
    ( ( ! [Ta: $i,Ea: $i] :
          ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa807100911_sconf @ p @ Ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) )
          | ~ ( hBOOL @ ( wTrt @ p @ ha @ Ea @ ea @ Ta ) )
          | ( ( hBOOL @ ( wTrt @ p @ h_a @ Ea @ e_a @ ( sK6_T_3 @ Ea @ Ta ) ) )
            & ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK6_T_3 @ Ea @ Ta ) @ Ta ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1087]) ).

thf(1311,plain,
    ( ( ! [F_1: $i,B: $i] :
          ( ! [A_1: $i,X_2: $i] :
              ( ( X_2 != A_1 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ A_1 @ B ) @ X_2 )
                = B ) )
          & ! [A_1: $i,X_2: $i] :
              ( ( X_2 = A_1 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ A_1 @ B ) @ X_2 )
                = ( hAPP_P2094403585on_val @ F_1 @ X_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1086]) ).

thf(1312,plain,
    ( ( ! [F_1: $i,X_1: $i,Y_2: $i] :
          ( ( ( hAPP_P2094403585on_val @ F_1 @ X_1 )
           != Y_2 )
          | ( ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 )
            = F_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1085]) ).

thf(1313,plain,
    ( ( ! [F_1: $i,Y_2: $i,Z: $i,X_1: $i] :
          ( ( Z = X_1 )
          | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
            = ( hAPP_P2094403585on_val @ F_1 @ Z ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1084]) ).

thf(1314,plain,
    ( ( ! [M: $i,B: $i,D_1: $i,A_1: $i,C: $i] :
          ( ( A_1 = C )
          | ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ M @ A_1 @ B ) @ C @ D_1 )
            = ( fun_up204312361on_val @ ( fun_up204312361on_val @ M @ C @ D_1 ) @ A_1 @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1083]) ).

thf(1315,plain,
    ( ( ! [F_1: $i,Y_2: $i] :
          ( ! [Z: $i,X_1: $i] :
              ( ( Z != X_1 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
                = Y_2 ) )
          & ! [Z: $i,X_1: $i] :
              ( ( Z = X_1 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
                = ( hAPP_P2094403585on_val @ F_1 @ Z ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1082]) ).

thf(1316,plain,
    ( ( ! [F_1: $i,X_1: $i,Y_2: $i] :
          ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 ) @ X_1 )
          = Y_2 ) )
    = $true ),
    inference(copy,[status(thm)],[876]) ).

thf(1317,plain,
    ( ( ! [F_1: $i,X_1: $i,Y_2: $i,Z: $i] :
          ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 ) @ X_1 @ Z )
          = ( fun_up204312361on_val @ F_1 @ X_1 @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[875]) ).

thf(1318,plain,
    ( ( ! [F_1: $i] :
          ( ! [X_1: $i,Y_2: $i] :
              ( ( ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 )
               != F_1 )
              | ( ( hAPP_P2094403585on_val @ F_1 @ X_1 )
                = Y_2 ) )
          & ! [X_1: $i,Y_2: $i] :
              ( ( ( hAPP_P2094403585on_val @ F_1 @ X_1 )
               != Y_2 )
              | ( ( fun_up204312361on_val @ F_1 @ X_1 @ Y_2 )
                = F_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1081]) ).

thf(1319,plain,
    ( ( ! [L1: $i,M: $i,L2: $i] :
          ( ~ ( hBOOL @ ( member1251428284t_char @ M @ ( dom_Pr695701035ar_val @ L2 ) ) )
          | ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ L1 @ L2 ) @ M )
            = ( hAPP_P2094403585on_val @ L2 @ M ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1080]) ).

thf(1320,plain,
    ( ( ! [L1: $i,M: $i,L2: $i] :
          ( ~ ( hBOOL @ ( member_list_char @ M @ ( dom_list_char_val @ L2 ) ) )
          | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ L1 @ L2 ) @ M )
            = ( hAPP_l207779698on_val @ L2 @ M ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1079]) ).

thf(1321,plain,
    ( ( ! [L1: $i,M: $i,L2: $i] :
          ( ( hBOOL @ ( member1251428284t_char @ M @ ( dom_Pr695701035ar_val @ L2 ) ) )
          | ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ L1 @ L2 ) @ M )
            = ( hAPP_P2094403585on_val @ L1 @ M ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1078]) ).

thf(1322,plain,
    ( ( ! [L1: $i,M: $i,L2: $i] :
          ( ( hBOOL @ ( member_list_char @ M @ ( dom_list_char_val @ L2 ) ) )
          | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ L1 @ L2 ) @ M )
            = ( hAPP_l207779698on_val @ L1 @ M ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1077]) ).

thf(1323,plain,
    ( ( ! [L2: $i,M: $i,L1: $i] :
          ( ( hBOOL @ ( member1251428284t_char @ M @ ( dom_Pr695701035ar_val @ L1 ) ) )
          | ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ L1 @ L2 ) @ M )
            = ( hAPP_P2094403585on_val @ L2 @ M ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1076]) ).

thf(1324,plain,
    ( ( ! [L2: $i,M: $i,L1: $i] :
          ( ( hBOOL @ ( member_list_char @ M @ ( dom_list_char_val @ L1 ) ) )
          | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ L1 @ L2 ) @ M )
            = ( hAPP_l207779698on_val @ L2 @ M ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1075]) ).

thf(1325,plain,
    ( ( ! [M1: $i,M2: $i,M3: $i] :
          ( ( map_ad1185064968ar_val @ M1 @ ( map_ad1185064968ar_val @ M2 @ M3 ) )
          = ( map_ad1185064968ar_val @ ( map_ad1185064968ar_val @ M1 @ M2 ) @ M3 ) ) )
    = $true ),
    inference(copy,[status(thm)],[867]) ).

thf(1326,plain,
    ( ( ! [M1: $i,M2: $i,M3: $i] :
          ( ( map_ad325961431ar_val @ M1 @ ( map_ad325961431ar_val @ M2 @ M3 ) )
          = ( map_ad325961431ar_val @ ( map_ad325961431ar_val @ M1 @ M2 ) @ M3 ) ) )
    = $true ),
    inference(copy,[status(thm)],[866]) ).

thf(1327,plain,
    ( ( ! [Va_1: $i,Ta: $i,Va: $i,U: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ ( val_list_char @ U ) ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ U ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[865]) ).

thf(1328,plain,
    ( ( ! [E1: $i,U1: $i,M: $i,E2: $i] :
          ( ( hBOOL @ ( member1251428284t_char @ M @ ( dom_Pr695701035ar_val @ E2 ) ) )
          | ( ( map_ad1185064968ar_val @ ( fun_up204312361on_val @ E1 @ M @ ( hAPP_val_option_val @ some_val @ U1 ) ) @ E2 )
            = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ E1 @ E2 ) @ M @ ( hAPP_val_option_val @ some_val @ U1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1074]) ).

thf(1329,plain,
    ( ( ! [E1: $i,U1: $i,M: $i,E2: $i] :
          ( ( hBOOL @ ( member_list_char @ M @ ( dom_list_char_val @ E2 ) ) )
          | ( ( map_ad325961431ar_val @ ( fun_up1149430426on_val @ E1 @ M @ ( hAPP_val_option_val @ some_val @ U1 ) ) @ E2 )
            = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ E1 @ E2 ) @ M @ ( hAPP_val_option_val @ some_val @ U1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1073]) ).

thf(1330,plain,
    ( ( ! [M: $i,A_1: $i] :
          ( ! [B: $i] :
              ( ( hAPP_P2094403585on_val @ M @ A_1 )
             != ( hAPP_val_option_val @ some_val @ B ) )
          | ( hBOOL @ ( member1251428284t_char @ A_1 @ ( dom_Pr695701035ar_val @ M ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1072]) ).

thf(1331,plain,
    ( ( ! [M: $i,A_1: $i] :
          ( ! [B: $i] :
              ( ( hAPP_l207779698on_val @ M @ A_1 )
             != ( hAPP_val_option_val @ some_val @ B ) )
          | ( hBOOL @ ( member_list_char @ A_1 @ ( dom_list_char_val @ M ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1071]) ).

thf(1332,plain,
    ( ( ! [Ta: $i,V_a: $i,Eb: $i,Hb: $i,Lb: $i,Va_1: $i,Va: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( hAPP_val_option_val @ some_val @ Va ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
          | ( ( hAPP_l207779698on_val @ L_b @ Va_1 )
           != ( hAPP_val_option_val @ some_val @ V_a ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ Eb ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ V_a ) ) @ E_b ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_l207779698on_val @ Lb @ Va_1 ) ) ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1070]) ).

thf(1333,plain,
    ( ( ! [Va_1: $i,Va: $i,Hb: $i,Lb: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( hAPP_val_option_val @ some_val @ Va ) ) ) ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[859]) ).

thf(1334,plain,
    ( ( ! [A_1: $i,M: $i] :
          ( ~ ( hBOOL @ ( member1251428284t_char @ A_1 @ ( dom_Pr695701035ar_val @ M ) ) )
          | ( ( hAPP_P2094403585on_val @ M @ A_1 )
            = ( hAPP_val_option_val @ some_val @ ( sK5_B_1 @ M @ A_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1069]) ).

thf(1335,plain,
    ( ( ! [A_1: $i,M: $i] :
          ( ~ ( hBOOL @ ( member_list_char @ A_1 @ ( dom_list_char_val @ M ) ) )
          | ( ( hAPP_l207779698on_val @ M @ A_1 )
            = ( hAPP_val_option_val @ some_val @ ( sK4_B_1 @ M @ A_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1068]) ).

thf(1336,plain,
    ( ( ! [A_15: $i,Ty_7: $i,Exp_13: $i,A_14: $i,Exp_12: $i] :
          ( ( block_list_char @ A_15 @ Ty_7 @ Exp_13 )
         != ( lAss_list_char @ A_14 @ Exp_12 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1067]) ).

thf(1337,plain,
    ( ( ! [Val_7: $i,Val_6: $i] :
          ( ( ( val_list_char @ Val_7 )
           != ( val_list_char @ Val_6 ) )
          | ( Val_7 = Val_6 ) )
      & ! [Val_7: $i,Val_6: $i] :
          ( ( Val_7 != Val_6 )
          | ( ( val_list_char @ Val_7 )
            = ( val_list_char @ Val_6 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1066]) ).

thf(1338,plain,
    ( ( ! [Exp1_7: $i,Exp2_7: $i] :
          ( ! [Exp1_6: $i,Exp2_6: $i] :
              ( ( Exp1_7 != Exp1_6 )
              | ( Exp2_7 != Exp2_6 )
              | ( ( seq_list_char @ Exp1_7 @ Exp2_7 )
                = ( seq_list_char @ Exp1_6 @ Exp2_6 ) ) )
          & ! [Exp1_6: $i] :
              ( ! [Exp2_6: $i] :
                  ( ( seq_list_char @ Exp1_7 @ Exp2_7 )
                 != ( seq_list_char @ Exp1_6 @ Exp2_6 ) )
              | ( Exp1_7 = Exp1_6 ) )
          & ! [Exp1_6: $i,Exp2_6: $i] :
              ( ( ( seq_list_char @ Exp1_7 @ Exp2_7 )
               != ( seq_list_char @ Exp1_6 @ Exp2_6 ) )
              | ( Exp2_7 = Exp2_6 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1065]) ).

thf(1339,plain,
    ( ( ! [A_1: $i,Exp_11: $i] :
          ( ! [A_13: $i,Exp_10: $i] :
              ( ( A_1 != A_13 )
              | ( Exp_11 != Exp_10 )
              | ( ( lAss_list_char @ A_1 @ Exp_11 )
                = ( lAss_list_char @ A_13 @ Exp_10 ) ) )
          & ! [A_13: $i] :
              ( ! [Exp_10: $i] :
                  ( ( lAss_list_char @ A_1 @ Exp_11 )
                 != ( lAss_list_char @ A_13 @ Exp_10 ) )
              | ( A_1 = A_13 ) )
          & ! [A_13: $i,Exp_10: $i] :
              ( ( ( lAss_list_char @ A_1 @ Exp_11 )
               != ( lAss_list_char @ A_13 @ Exp_10 ) )
              | ( Exp_11 = Exp_10 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1064]) ).

thf(1340,plain,
    ( ( ! [A_1: $i,Ty_6: $i,Exp_11: $i,A_13: $i] :
          ( ! [Ty_5: $i,Exp_10: $i] :
              ( ( A_1 != A_13 )
              | ( Ty_6 != Ty_5 )
              | ( Exp_11 != Exp_10 )
              | ( ( block_list_char @ A_1 @ Ty_6 @ Exp_11 )
                = ( block_list_char @ A_13 @ Ty_5 @ Exp_10 ) ) )
          & ( ! [Ty_5: $i,Exp_10: $i] :
                ( ( block_list_char @ A_1 @ Ty_6 @ Exp_11 )
               != ( block_list_char @ A_13 @ Ty_5 @ Exp_10 ) )
            | ( A_1 = A_13 ) )
          & ! [Ty_5: $i] :
              ( ! [Exp_10: $i] :
                  ( ( block_list_char @ A_1 @ Ty_6 @ Exp_11 )
                 != ( block_list_char @ A_13 @ Ty_5 @ Exp_10 ) )
              | ( Ty_6 = Ty_5 ) )
          & ! [Ty_5: $i,Exp_10: $i] :
              ( ( ( block_list_char @ A_1 @ Ty_6 @ Exp_11 )
               != ( block_list_char @ A_13 @ Ty_5 @ Exp_10 ) )
              | ( Exp_11 = Exp_10 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1063]) ).

thf(1341,plain,
    ( ( ! [Val_5: $i,Exp1_5: $i,Exp2_5: $i] :
          ( ( val_list_char @ Val_5 )
         != ( seq_list_char @ Exp1_5 @ Exp2_5 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1062]) ).

thf(1342,plain,
    ( ( ! [Val_4: $i,A_12: $i,Exp_9: $i] :
          ( ( val_list_char @ Val_4 )
         != ( lAss_list_char @ A_12 @ Exp_9 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1061]) ).

thf(1343,plain,
    ( ( ! [Exp1_4: $i,Exp2_4: $i,Val_3: $i] :
          ( ( seq_list_char @ Exp1_4 @ Exp2_4 )
         != ( val_list_char @ Val_3 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1060]) ).

thf(1344,plain,
    ( ( ! [A_11: $i,Exp_8: $i,Val_2: $i] :
          ( ( lAss_list_char @ A_11 @ Exp_8 )
         != ( val_list_char @ Val_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1059]) ).

thf(1345,plain,
    ( ( ! [Val_1: $i,A_10: $i,Ty_4: $i,Exp_7: $i] :
          ( ( val_list_char @ Val_1 )
         != ( block_list_char @ A_10 @ Ty_4 @ Exp_7 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1058]) ).

thf(1346,plain,
    ( ( ! [A_9: $i,Ty_3: $i,Exp_6: $i,Val: $i] :
          ( ( block_list_char @ A_9 @ Ty_3 @ Exp_6 )
         != ( val_list_char @ Val ) ) )
    = $true ),
    inference(copy,[status(thm)],[1057]) ).

thf(1347,plain,
    ( ( ! [Exp1_3: $i,Exp2_3: $i,A_7: $i,Exp_5: $i] :
          ( ( seq_list_char @ Exp1_3 @ Exp2_3 )
         != ( lAss_list_char @ A_7 @ Exp_5 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1056]) ).

thf(1348,plain,
    ( ( ! [A_6: $i,Exp_4: $i,Exp1_2: $i,Exp2_2: $i] :
          ( ( lAss_list_char @ A_6 @ Exp_4 )
         != ( seq_list_char @ Exp1_2 @ Exp2_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1055]) ).

thf(1349,plain,
    ( ( ! [Exp1_1: $i,Exp2_1: $i,A_5: $i,Ty_2: $i,Exp_3: $i] :
          ( ( seq_list_char @ Exp1_1 @ Exp2_1 )
         != ( block_list_char @ A_5 @ Ty_2 @ Exp_3 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1054]) ).

thf(1350,plain,
    ( ( ! [A_4: $i,Exp_2: $i,A_3: $i,Ty_1: $i,Exp_1: $i] :
          ( ( lAss_list_char @ A_4 @ Exp_2 )
         != ( block_list_char @ A_3 @ Ty_1 @ Exp_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1053]) ).

thf(1351,plain,
    ( ( ! [A_2: $i,Ty: $i,Exp: $i,Exp1: $i,Exp2: $i] :
          ( ( block_list_char @ A_2 @ Ty @ Exp )
         != ( seq_list_char @ Exp1 @ Exp2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1052]) ).

thf(1352,plain,
    ( ( ! [Va_1: $i,Eb: $i,S_2: $i,Va: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ Va ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_val_option_val @ some_val @ Va ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1051]) ).

thf(1353,plain,
    ( ( ! [E_2: $i,E_2_1: $i,S_2_1: $i,E_1: $i,S_0: $i,V_1: $i,S_1: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_1 ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ V_1 ) ) @ S_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2 ) @ S_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2_1 ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_1 @ E_2 ) ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2_1 ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1050]) ).

thf(1354,plain,
    ( ( ! [Ta: $i,Eb: $i,Hb: $i,Lb: $i,Va_1: $i,Va: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( hAPP_val_option_val @ some_val @ Va ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ Eb ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ ( the_val @ ( hAPP_l207779698on_val @ L_b @ Va_1 ) ) ) ) @ E_b ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_l207779698on_val @ Lb @ Va_1 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1049]) ).

thf(1355,plain,
    ( ( ! [Ta: $i,Eb: $i,Hb: $i,Lb: $i,Va_1: $i,Va: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( hAPP_val_option_val @ some_val @ Va ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ~ ( hBOOL @ ( final_list_char @ E_b ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ Eb ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_l207779698on_val @ Lb @ Va_1 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1048]) ).

thf(1356,plain,
    ( ( ! [Va_1: $i,Eb: $i] :
          ( ! [V_3: $i,E_3: $i] :
              ( Eb
             != ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ V_3 ) ) @ E_3 ) )
          | ( hBOOL @ ( assigned @ Va_1 @ Eb ) ) )
      & ! [Va_1: $i,Eb: $i] :
          ( ~ ( hBOOL @ ( assigned @ Va_1 @ Eb ) )
          | ( Eb
            = ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ ( sK2_V_3 @ Eb @ Va_1 ) ) ) @ ( sK3_SY853 @ Eb @ Va_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1047]) ).

thf(1357,plain,
    ( ( ! [Pa: $i] :
          ( ~ ( hBOOL @ ( wf_pro755087577t_char @ wf_J_mdecl @ Pa ) )
          | ( hBOOL @ ( wf_pro755087577t_char @ wwf_J_mdecl @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1046]) ).

thf(1358,plain,
    ( ( ! [Va: $i,F: $i,D: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ Va ) @ F @ D @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ Va ) @ F @ D @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1045]) ).

thf(1359,plain,
    ( ( ! [Va_1: $i,Ta: $i,Va: $i,A_1: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ ( throw_list_char @ ( val_list_char @ ( addr @ A_1 ) ) ) ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ A_1 ) ) ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[833]) ).

thf(1360,plain,
    ( ( ! [Va: $i,F: $i,D: $i,Eb: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ Va ) @ F @ D @ ( throw_list_char @ Eb ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[832]) ).

thf(1361,plain,
    ( ( ! [Va_1: $i,Eb: $i,S_2: $i,A_1: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1044]) ).

thf(1362,plain,
    ( ( ! [E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ Eb @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1043]) ).

thf(1363,plain,
    ( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ Eb @ F @ D @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1042]) ).

thf(1364,plain,
    ( ( ! [F: $i,D: $i,Eb: $i,S_2: $i,A_1: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ Eb @ F @ D ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1041]) ).

thf(1365,plain,
    ( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S_2_1: $i,E_1: $i,S_0: $i,Va: $i,S_1: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_1 ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ Va ) ) @ S_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2 ) @ S_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_1 @ F @ D @ E_2 ) ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1040]) ).

thf(1366,plain,
    ( ( ! [Va_1: $i,Ta: $i,A_1: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( throw_list_char @ ( val_list_char @ ( addr @ A_1 ) ) ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ A_1 ) ) ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[826]) ).

thf(1367,plain,
    ( ( ! [C_1: $i,Va_1: $i,E_2: $i,Eb: $i,S_2: $i,Va: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ Va ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C_1 @ Va_1 @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ Va ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1039]) ).

thf(1368,plain,
    ( ( ! [C_1: $i,Eb: $i,S_2: $i,A_1: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A_1 ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1038]) ).

thf(1369,plain,
    ( ( ! [C_1: $i,Eb: $i,S_2: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1037]) ).

thf(1370,plain,
    ( ( ! [F: $i,D: $i,Ta: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i] :
          ( ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ nt ) )
          | ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( fAcc_list_char @ Eb @ F @ D ) @ Ta ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1036]) ).

thf(1371,plain,
    ( ( ! [C_1: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ ( val_list_char @ null ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[821]) ).

thf(1372,plain,
    ( ( ! [Ta: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i,T_r_1: $i] :
          ( ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ T_r_1 ) )
          | ~ ( hBOOL @ ( is_refT @ T_r_1 ) )
          | ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( throw_list_char @ Eb ) @ Ta ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1035]) ).

thf(1373,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i,Eb: $i] :
          ( ! [Ta: $i] :
              ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( throw_list_char @ Eb ) @ Ta ) )
          | ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ ( sK1_T_r @ Eb @ Ea @ Hb @ Pa ) ) )
            & ( hBOOL @ ( is_refT @ ( sK1_T_r @ Eb @ Ea @ Hb @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1034]) ).

thf(1374,plain,
    ( ( ! [Bop: $i,E_2: $i,Eb: $i,S_2_1: $i,E_1: $i,S_0: $i,V_1: $i,S_1: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_1 ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ V_1 ) ) @ S_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2 ) @ S_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_1 @ Bop @ E_2 ) ) @ S_0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2_1 ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1033]) ).

thf(1375,plain,
    ( ( ! [V_1: $i,Bop: $i,Eb: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ V_1 ) @ Bop @ ( throw_list_char @ Eb ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[817]) ).

thf(1376,plain,
    ( ( ! [Va: $i,Bop: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ Va ) @ Bop @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ Va ) @ Bop @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1032]) ).

thf(1377,plain,
    ( ( ! [Bop: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ Eb @ Bop @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1031]) ).

thf(1378,plain,
    ( ( ! [Bool_1: $i] :
          ( null
         != ( bool @ Bool_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1030]) ).

thf(1379,plain,
    ( ( ! [Bool_1: $i] :
          ( ( bool @ Bool_1 )
         != null ) )
    = $true ),
    inference(copy,[status(thm)],[1029]) ).

thf(1380,plain,
    ( ( ! [Bool_1: $i] :
          ( unit
         != ( bool @ Bool_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1028]) ).

thf(1381,plain,
    ( ( ! [Bool_1: $i] :
          ( ( bool @ Bool_1 )
         != unit ) )
    = $true ),
    inference(copy,[status(thm)],[1027]) ).

thf(1382,plain,
    ( ( ! [Nat: $i,Bool: $i] :
          ( ( addr @ Nat )
         != ( bool @ Bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[1026]) ).

thf(1383,plain,
    ( ( ! [Bool: $i,Nat: $i] :
          ( ( bool @ Bool )
         != ( addr @ Nat ) ) )
    = $true ),
    inference(copy,[status(thm)],[1025]) ).

thf(1384,plain,
    ( ( ! [P: $i] :
          ( ~ ( is_bool @ P )
          | ( P = fTrue )
          | ( P = fFalse ) ) )
    = $true ),
    inference(copy,[status(thm)],[1024]) ).

thf(1385,plain,
    ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1023]) ).

thf(1386,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) )
                | ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_A @ SX0 ) ) @ ( sK15_SY856 @ SX0 ) ) ) ) )
          | ~ ! [SX0: $i] :
                ( ! [SX1: $i,SX2: $i] :
                    ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) )
                | ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( sK13_X1 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1214]) ).

thf(1387,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( ( hAPP_val_option_val @ some_val @ SX0 )
                 != ( hAPP_val_option_val @ some_val @ SX1 ) )
                | ( SX0 = SX1 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 != SX1 )
                | ( ( hAPP_val_option_val @ some_val @ SX0 )
                  = ( hAPP_val_option_val @ some_val @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1219]) ).

thf(1388,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( member_nat @ SX0 @ SX1 ) )
                | ( hBOOL @ ( hAPP_nat_bool @ SX1 @ SX0 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_nat_bool @ SX1 @ SX0 ) )
                | ( hBOOL @ ( member_nat @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1228]) ).

thf(1389,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ( ( fun_up204312361on_val @ SX0 @ SX1 @ SX2 )
                   != SX0 )
                  | ( ( hAPP_P2094403585on_val @ SX0 @ SX1 )
                    = SX2 ) )
            | ~ ! [SX1: $i,SX2: $i] :
                  ( ( ( hAPP_P2094403585on_val @ SX0 @ SX1 )
                   != SX2 )
                  | ( ( fun_up204312361on_val @ SX0 @ SX1 @ SX2 )
                    = SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1318]) ).

thf(1390,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( member773094996on_val @ SX0 @ SX1 ) )
                | ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) )
                | ( hBOOL @ ( member773094996on_val @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1234]) ).

thf(1391,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SX1 @ SX0 ) ) @ ( sK29_SY863 @ SX1 @ SX0 ) ) @ SX1 ) )
                        | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SX1 @ SX0 ) ) @ ( sK29_SY863 @ SX1 @ SX0 ) ) @ SX0 ) ) )
                    | ~ ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SX1 @ SX0 ) ) @ ( sK29_SY863 @ SX1 @ SX0 ) ) @ SX1 ) )
                        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SX1 @ SX0 ) ) @ ( sK29_SY863 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
                | ( SX1 = SX0 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( SX1 != SX0 )
                | ~ ( ~ ! [SX2: $i,SX3: $i] :
                          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX1 ) )
                          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
                    | ~ ! [SX2: $i,SX3: $i] :
                          ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX0 ) )
                          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1207]) ).

thf(1392,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ! [SX4: $i] :
              ~ ( hBOOL @ ( wTrt @ SX0 @ SX1 @ SX2 @ ( throw_list_char @ SX3 ) @ SX4 ) )
          | ~ ( ~ ( hBOOL @ ( wTrt @ SX0 @ SX1 @ SX2 @ SX3 @ ( sK1_T_r @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
              | ~ ( hBOOL @ ( is_refT @ ( sK1_T_r @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1373]) ).

thf(1393,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ! [SX2: $i,SX3: $i] :
                    ( SX1
                   != ( seq_list_char @ ( lAss_list_char @ SX0 @ ( val_list_char @ SX2 ) ) @ SX3 ) )
                | ( hBOOL @ ( assigned @ SX0 @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( assigned @ SX0 @ SX1 ) )
                | ( SX1
                  = ( seq_list_char @ ( lAss_list_char @ SX0 @ ( val_list_char @ ( sK2_V_3 @ SX1 @ SX0 ) ) ) @ ( sK3_SY853 @ SX1 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1356]) ).

thf(1394,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( hBOOL @ SX0 )
                      | ~ ( hBOOL @ SX1 )
                      | ( ( bool @ SX0 )
                        = ( bool @ SX1 ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ( hBOOL @ SX0 )
                      | ( hBOOL @ SX1 )
                      | ( ( bool @ SX0 )
                        = ( bool @ SX1 ) ) ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ( ( bool @ SX0 )
                       != ( bool @ SX1 ) )
                      | ~ ( hBOOL @ SX0 )
                      | ( hBOOL @ SX1 ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ( ( bool @ SX0 )
                       != ( bool @ SX1 ) )
                      | ~ ( hBOOL @ SX1 )
                      | ( hBOOL @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1272]) ).

thf(1395,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ! [SX2: $i,SX3: $i] :
                  ( ( SX2 != SX3 )
                  | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX3 @ SX1 ) @ SX2 )
                    = SX1 ) )
            | ~ ! [SX2: $i,SX3: $i] :
                  ( ( SX2 = SX3 )
                  | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX3 @ SX1 ) @ SX2 )
                    = ( hAPP_l207779698on_val @ SX0 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1196]) ).

thf(1396,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa807100911_sconf @ p @ SX1 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) )
          | ~ ( hBOOL @ ( wTrt @ p @ ha @ SX1 @ ea @ SX0 ) )
          | ~ ( ~ ( hBOOL @ ( wTrt @ p @ h_a @ SX1 @ e_a @ ( sK6_T_3 @ SX1 @ SX0 ) ) )
              | ~ ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK6_T_3 @ SX1 @ SX0 ) @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1310]) ).

thf(1397,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( sK54_X1 @ SX0 ) ) )
                | ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK52_A @ SX0 ) ) @ ( sK53_SY880 @ SX0 ) ) ) )
                | ! [SX1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1189]) ).

thf(1398,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( member763590124on_val @ SX0 @ SX1 ) )
                | ( hBOOL @ ( hAPP_P159683425l_bool @ SX1 @ SX0 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX1 @ SX0 ) )
                | ( hBOOL @ ( member763590124on_val @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1232]) ).

thf(1399,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ! [SX2: $i] :
                  ( ! [SX3: $i] :
                      ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX0 ) @ SX1 )
                     != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) )
                  | ( SX0 = SX2 ) )
            | ~ ! [SX2: $i,SX3: $i] :
                  ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX0 ) @ SX1 )
                   != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) )
                  | ( SX1 = SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1183]) ).

thf(1400,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( member1251428284t_char @ SX0 @ SX1 ) )
                | ( hBOOL @ ( hAPP_P449474095r_bool @ SX1 @ SX0 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_P449474095r_bool @ SX1 @ SX0 ) )
                | ( hBOOL @ ( member1251428284t_char @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1235]) ).

thf(1401,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ! [SX2: $i,SX3: $i] :
                  ( ( SX0 != SX2 )
                  | ( SX1 != SX3 )
                  | ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX0 ) @ SX1 )
                    = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) ) )
            | ~ ~ ( ~ ! [SX2: $i] :
                        ( ! [SX3: $i] :
                            ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX0 ) @ SX1 )
                           != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) )
                        | ( SX0 = SX2 ) )
                  | ~ ! [SX2: $i,SX3: $i] :
                        ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX0 ) @ SX1 )
                         != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) )
                        | ( SX1 = SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1186]) ).

thf(1402,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ! [SX2: $i,SX3: $i] :
                  ( ( SX3 != SX2 )
                  | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX2 @ SX1 ) @ SX3 )
                    = SX1 ) )
            | ~ ! [SX2: $i,SX3: $i] :
                  ( ( SX3 = SX2 )
                  | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX2 @ SX1 ) @ SX3 )
                    = ( hAPP_l207779698on_val @ SX0 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1192]) ).

thf(1403,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ! [SX2: $i] :
                  ( ! [SX3: $i] :
                      ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX0 ) @ SX1 )
                     != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) )
                  | ( SX0 = SX2 ) )
            | ~ ! [SX2: $i,SX3: $i] :
                  ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX0 ) @ SX1 )
                   != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) )
                  | ( SX1 = SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1184]) ).

thf(1404,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( member649088532al_val @ SX0 @ SX1 ) )
                | ( hBOOL @ ( hAPP_P929938951l_bool @ SX1 @ SX0 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_P929938951l_bool @ SX1 @ SX0 ) )
                | ( hBOOL @ ( member649088532al_val @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1229]) ).

thf(1405,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ~ ( ~ ! [SX4: $i,SX5: $i] :
                  ( ( SX0 != SX3 )
                  | ( SX1 != SX4 )
                  | ( SX2 != SX5 )
                  | ( ( block_list_char @ SX0 @ SX1 @ SX2 )
                    = ( block_list_char @ SX3 @ SX4 @ SX5 ) ) )
            | ~ ~ ( ~ ~ ( ~ ( ! [SX4: $i,SX5: $i] :
                                ( ( block_list_char @ SX0 @ SX1 @ SX2 )
                               != ( block_list_char @ SX3 @ SX4 @ SX5 ) )
                            | ( SX0 = SX3 ) )
                        | ~ ! [SX4: $i] :
                              ( ! [SX5: $i] :
                                  ( ( block_list_char @ SX0 @ SX1 @ SX2 )
                                 != ( block_list_char @ SX3 @ SX4 @ SX5 ) )
                              | ( SX1 = SX4 ) ) )
                  | ~ ! [SX4: $i,SX5: $i] :
                        ( ( ( block_list_char @ SX0 @ SX1 @ SX2 )
                         != ( block_list_char @ SX3 @ SX4 @ SX5 ) )
                        | ( SX2 = SX5 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1340]) ).

thf(1406,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( member_list_char @ SX0 @ SX1 ) )
                | ( hBOOL @ ( hAPP_list_char_bool @ SX1 @ SX0 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SX1 @ SX0 ) )
                | ( hBOOL @ ( member_list_char @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1227]) ).

thf(1407,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ! [SX2: $i,SX3: $i] :
                  ( ( SX0 != SX2 )
                  | ( SX1 != SX3 )
                  | ( ( seq_list_char @ SX0 @ SX1 )
                    = ( seq_list_char @ SX2 @ SX3 ) ) )
            | ~ ~ ( ~ ! [SX2: $i] :
                        ( ! [SX3: $i] :
                            ( ( seq_list_char @ SX0 @ SX1 )
                           != ( seq_list_char @ SX2 @ SX3 ) )
                        | ( SX0 = SX2 ) )
                  | ~ ! [SX2: $i,SX3: $i] :
                        ( ( ( seq_list_char @ SX0 @ SX1 )
                         != ( seq_list_char @ SX2 @ SX3 ) )
                        | ( SX1 = SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1338]) ).

thf(1408,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) )
                | ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK11_A @ SX0 ) ) @ ( sK12_SY855 @ SX0 ) ) ) ) )
          | ~ ! [SX0: $i] :
                ( ! [SX1: $i,SX2: $i] :
                    ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) )
                | ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK10_X1 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1215]) ).

thf(1409,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SX1 @ SX0 ) ) @ ( sK31_SY864 @ SX1 @ SX0 ) ) @ SX1 ) )
                        | ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SX1 @ SX0 ) ) @ ( sK31_SY864 @ SX1 @ SX0 ) ) @ SX0 ) ) )
                    | ~ ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SX1 @ SX0 ) ) @ ( sK31_SY864 @ SX1 @ SX0 ) ) @ SX1 ) )
                        | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SX1 @ SX0 ) ) @ ( sK31_SY864 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
                | ( SX1 = SX0 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( SX1 != SX0 )
                | ~ ( ~ ! [SX2: $i,SX3: $i] :
                          ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX1 ) )
                          | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
                    | ~ ! [SX2: $i,SX3: $i] :
                          ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX0 ) )
                          | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1206]) ).

thf(1410,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK51_X1 @ SX0 ) ) )
                | ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK49_A @ SX0 ) ) @ ( sK50_SY879 @ SX0 ) ) ) )
                | ! [SX1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1190]) ).

thf(1411,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( member1542417277on_val @ SX0 @ SX1 ) )
                | ( hBOOL @ ( hAPP_P1235399154l_bool @ SX1 @ SX0 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_P1235399154l_bool @ SX1 @ SX0 ) )
                | ( hBOOL @ ( member1542417277on_val @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1231]) ).

thf(1412,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ~ ( ~ ~ ( ~ ~ ( ~ ! [SX3: $i] :
                              ( ! [SX4: $i] :
                                  ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SX0 @ SX1 @ ( hAPP_val_option_val @ some_val @ SX2 ) ) @ SX3 )
                                 != ( hAPP_val_option_val @ some_val @ SX4 ) )
                              | ( SX3 = SX1 )
                              | ( SX3 != SX1 ) )
                        | ~ ! [SX3: $i,SX4: $i] :
                              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SX0 @ SX1 @ ( hAPP_val_option_val @ some_val @ SX2 ) ) @ SX3 )
                               != ( hAPP_val_option_val @ some_val @ SX4 ) )
                              | ( SX3 = SX1 )
                              | ( ( hAPP_P2094403585on_val @ SX0 @ SX3 )
                                = ( hAPP_val_option_val @ some_val @ SX4 ) ) ) )
                  | ~ ~ ( ~ ! [SX3: $i,SX4: $i] :
                              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SX0 @ SX1 @ ( hAPP_val_option_val @ some_val @ SX2 ) ) @ SX3 )
                               != ( hAPP_val_option_val @ some_val @ SX4 ) )
                              | ( SX2 = SX4 )
                              | ( SX3 != SX1 ) )
                        | ~ ! [SX3: $i,SX4: $i] :
                              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SX0 @ SX1 @ ( hAPP_val_option_val @ some_val @ SX2 ) ) @ SX3 )
                               != ( hAPP_val_option_val @ some_val @ SX4 ) )
                              | ( SX2 = SX4 )
                              | ( ( hAPP_P2094403585on_val @ SX0 @ SX3 )
                                = ( hAPP_val_option_val @ some_val @ SX4 ) ) ) ) )
            | ~ ~ ( ~ ! [SX3: $i,SX4: $i] :
                        ( ( SX3 != SX1 )
                        | ( SX2 != SX4 )
                        | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SX0 @ SX1 @ ( hAPP_val_option_val @ some_val @ SX2 ) ) @ SX3 )
                          = ( hAPP_val_option_val @ some_val @ SX4 ) ) )
                  | ~ ! [SX3: $i,SX4: $i] :
                        ( ( SX3 = SX1 )
                        | ( ( hAPP_P2094403585on_val @ SX0 @ SX3 )
                         != ( hAPP_val_option_val @ some_val @ SX4 ) )
                        | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SX0 @ SX1 @ ( hAPP_val_option_val @ some_val @ SX2 ) ) @ SX3 )
                          = ( hAPP_val_option_val @ some_val @ SX4 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1176]) ).

thf(1413,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ! [SX2: $i,SX3: $i] :
                  ( ( SX0 != SX2 )
                  | ( SX1 != SX3 )
                  | ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX0 ) @ SX1 )
                    = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) ) )
            | ~ ~ ( ~ ! [SX2: $i] :
                        ( ! [SX3: $i] :
                            ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX0 ) @ SX1 )
                           != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) )
                        | ( SX0 = SX2 ) )
                  | ~ ! [SX2: $i,SX3: $i] :
                        ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX0 ) @ SX1 )
                         != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) )
                        | ( SX1 = SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1188]) ).

thf(1414,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) )
                | ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK8_A @ SX0 ) ) @ ( sK9_SY854 @ SX0 ) ) ) ) )
          | ~ ! [SX0: $i] :
                ( ! [SX1: $i,SX2: $i] :
                    ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) )
                | ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( sK7_X1 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1216]) ).

thf(1415,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( sK48_X1 @ SX0 ) ) )
                | ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) ) )
          | ~ ! [SX0: $i] :
                ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK46_A @ SX0 ) ) @ ( sK47_SY878 @ SX0 ) ) ) )
                | ! [SX1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1191]) ).

thf(1416,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ! [SX2: $i,SX3: $i] :
                  ( ( SX2 != SX3 )
                  | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SX0 @ SX3 @ SX1 ) @ SX2 )
                    = SX1 ) )
            | ~ ! [SX2: $i,SX3: $i] :
                  ( ( SX2 = SX3 )
                  | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SX0 @ SX3 @ SX1 ) @ SX2 )
                    = ( hAPP_P2094403585on_val @ SX0 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1315]) ).

thf(1417,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SX0 @ SX1 ) @ SX2 ) )
                  | ( hBOOL @ ( d_list_char @ SX1 @ SX2 ) ) )
            | ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( hBOOL @ ( d_list_char @ SX1 @ SX2 ) )
                  | ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SX0 @ SX1 ) @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1244]) ).

thf(1418,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ! [SX2: $i] :
                  ( ! [SX3: $i] :
                      ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX0 ) @ SX1 )
                     != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) )
                  | ( SX0 = SX2 ) )
            | ~ ! [SX2: $i,SX3: $i] :
                  ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX0 ) @ SX1 )
                   != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) )
                  | ( SX1 = SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1185]) ).

thf(1419,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( member840932460on_val @ SX0 @ SX1 ) )
                | ( hBOOL @ ( hAPP_P1708370145l_bool @ SX1 @ SX0 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX1 @ SX0 ) )
                | ( hBOOL @ ( member840932460on_val @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1233]) ).

thf(1420,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SX1 @ SX0 ) ) @ ( sK33_SY865 @ SX1 @ SX0 ) ) @ SX1 ) )
                        | ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SX1 @ SX0 ) ) @ ( sK33_SY865 @ SX1 @ SX0 ) ) @ SX0 ) ) )
                    | ~ ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SX1 @ SX0 ) ) @ ( sK33_SY865 @ SX1 @ SX0 ) ) @ SX1 ) )
                        | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SX1 @ SX0 ) ) @ ( sK33_SY865 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
                | ( SX1 = SX0 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( SX1 != SX0 )
                | ~ ( ~ ! [SX2: $i,SX3: $i] :
                          ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX1 ) )
                          | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
                    | ~ ! [SX2: $i,SX3: $i] :
                          ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX0 ) )
                          | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1205]) ).

thf(1421,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( ( val_list_char @ SX0 )
                 != ( val_list_char @ SX1 ) )
                | ( SX0 = SX1 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 != SX1 )
                | ( ( val_list_char @ SX0 )
                  = ( val_list_char @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1337]) ).

thf(1422,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ! [SX2: $i,SX3: $i] :
                  ( ( SX0 != SX2 )
                  | ( SX1 != SX3 )
                  | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX0 ) @ SX1 )
                    = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) ) )
            | ~ ~ ( ~ ! [SX2: $i] :
                        ( ! [SX3: $i] :
                            ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX0 ) @ SX1 )
                           != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) )
                        | ( SX0 = SX2 ) )
                  | ~ ! [SX2: $i,SX3: $i] :
                        ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX0 ) @ SX1 )
                         != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) )
                        | ( SX1 = SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1187]) ).

thf(1423,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ( ( fun_up1149430426on_val @ SX0 @ SX1 @ SX2 )
                   != SX0 )
                  | ( ( hAPP_l207779698on_val @ SX0 @ SX1 )
                    = SX2 ) )
            | ~ ! [SX1: $i,SX2: $i] :
                  ( ( ( hAPP_l207779698on_val @ SX0 @ SX1 )
                   != SX2 )
                  | ( ( fun_up1149430426on_val @ SX0 @ SX1 @ SX2 )
                    = SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1199]) ).

thf(1424,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ! [SX2: $i,SX3: $i] :
                  ( ( SX3 != SX2 )
                  | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SX0 @ SX2 @ SX1 ) @ SX3 )
                    = SX1 ) )
            | ~ ! [SX2: $i,SX3: $i] :
                  ( ( SX3 = SX2 )
                  | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SX0 @ SX2 @ SX1 ) @ SX3 )
                    = ( hAPP_P2094403585on_val @ SX0 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1311]) ).

thf(1425,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ! [SX2: $i,SX3: $i] :
                  ( ( SX0 != SX2 )
                  | ( SX1 != SX3 )
                  | ( ( lAss_list_char @ SX0 @ SX1 )
                    = ( lAss_list_char @ SX2 @ SX3 ) ) )
            | ~ ~ ( ~ ! [SX2: $i] :
                        ( ! [SX3: $i] :
                            ( ( lAss_list_char @ SX0 @ SX1 )
                           != ( lAss_list_char @ SX2 @ SX3 ) )
                        | ( SX0 = SX2 ) )
                  | ~ ! [SX2: $i,SX3: $i] :
                        ( ( ( lAss_list_char @ SX0 @ SX1 )
                         != ( lAss_list_char @ SX2 @ SX3 ) )
                        | ( SX1 = SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1339]) ).

thf(1426,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( member1417904245al_val @ SX0 @ SX1 ) )
                | ( hBOOL @ ( hAPP_P943837928l_bool @ SX1 @ SX0 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_P943837928l_bool @ SX1 @ SX0 ) )
                | ( hBOOL @ ( member1417904245al_val @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1230]) ).

thf(1427,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ~ ( ~ ~ ( ~ ~ ( ~ ! [SX3: $i] :
                              ( ! [SX4: $i] :
                                  ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX1 @ ( hAPP_val_option_val @ some_val @ SX2 ) ) @ SX3 )
                                 != ( hAPP_val_option_val @ some_val @ SX4 ) )
                              | ( SX3 = SX1 )
                              | ( SX3 != SX1 ) )
                        | ~ ! [SX3: $i,SX4: $i] :
                              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX1 @ ( hAPP_val_option_val @ some_val @ SX2 ) ) @ SX3 )
                               != ( hAPP_val_option_val @ some_val @ SX4 ) )
                              | ( SX3 = SX1 )
                              | ( ( hAPP_l207779698on_val @ SX0 @ SX3 )
                                = ( hAPP_val_option_val @ some_val @ SX4 ) ) ) )
                  | ~ ~ ( ~ ! [SX3: $i,SX4: $i] :
                              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX1 @ ( hAPP_val_option_val @ some_val @ SX2 ) ) @ SX3 )
                               != ( hAPP_val_option_val @ some_val @ SX4 ) )
                              | ( SX2 = SX4 )
                              | ( SX3 != SX1 ) )
                        | ~ ! [SX3: $i,SX4: $i] :
                              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX1 @ ( hAPP_val_option_val @ some_val @ SX2 ) ) @ SX3 )
                               != ( hAPP_val_option_val @ some_val @ SX4 ) )
                              | ( SX2 = SX4 )
                              | ( ( hAPP_l207779698on_val @ SX0 @ SX3 )
                                = ( hAPP_val_option_val @ some_val @ SX4 ) ) ) ) )
            | ~ ~ ( ~ ! [SX3: $i,SX4: $i] :
                        ( ( SX3 != SX1 )
                        | ( SX2 != SX4 )
                        | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX1 @ ( hAPP_val_option_val @ some_val @ SX2 ) ) @ SX3 )
                          = ( hAPP_val_option_val @ some_val @ SX4 ) ) )
                  | ~ ! [SX3: $i,SX4: $i] :
                        ( ( SX3 = SX1 )
                        | ( ( hAPP_l207779698on_val @ SX0 @ SX3 )
                         != ( hAPP_val_option_val @ some_val @ SX4 ) )
                        | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX1 @ ( hAPP_val_option_val @ some_val @ SX2 ) ) @ SX3 )
                          = ( hAPP_val_option_val @ some_val @ SX4 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1175]) ).

thf(1428,plain,
    ! [SV1: $i] :
      ( ( ! [SY893: $i] : ( is_bool @ ( member773094996on_val @ SV1 @ SY893 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1170]) ).

thf(1429,plain,
    ! [SV2: $i] :
      ( ( ! [SY894: $i] :
            ( ( fun_up1149430426on_val @ SV2 @ SY894 @ ( hAPP_l207779698on_val @ SV2 @ SY894 ) )
            = SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1173]) ).

thf(1430,plain,
    ! [SV3: $i] :
      ( ( ! [SY895: $i,SY896: $i] :
            ( ( ( hAPP_l207779698on_val @ SV3 @ SY895 )
             != ( hAPP_val_option_val @ some_val @ SY896 ) )
            | ( ( fun_up1149430426on_val @ SV3 @ SY895 @ ( hAPP_val_option_val @ some_val @ SY896 ) )
              = SV3 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1177]) ).

thf(1431,plain,
    ! [SV4: $i] :
      ( ( ! [SY897: $i,SY898: $i] :
            ( ( ( hAPP_P2094403585on_val @ SV4 @ SY897 )
             != ( hAPP_val_option_val @ some_val @ SY898 ) )
            | ( ( fun_up204312361on_val @ SV4 @ SY897 @ ( hAPP_val_option_val @ some_val @ SY898 ) )
              = SV4 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1178]) ).

thf(1432,plain,
    ! [SV5: $i] :
      ( ( ! [SY899: $i,SY900: $i,SY901: $i,SY902: $i] :
            ( ( ( fun_up1149430426on_val @ SV5 @ SY899 @ ( hAPP_val_option_val @ some_val @ SY900 ) )
             != ( fun_up1149430426on_val @ SY901 @ SY899 @ ( hAPP_val_option_val @ some_val @ SY902 ) ) )
            | ( SY900 = SY902 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1179]) ).

thf(1433,plain,
    ! [SV6: $i] :
      ( ( ! [SY903: $i,SY904: $i,SY905: $i,SY906: $i] :
            ( ( ( fun_up204312361on_val @ SV6 @ SY903 @ ( hAPP_val_option_val @ some_val @ SY904 ) )
             != ( fun_up204312361on_val @ SY905 @ SY903 @ ( hAPP_val_option_val @ some_val @ SY906 ) ) )
            | ( SY904 = SY906 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1180]) ).

thf(1434,plain,
    ! [SV7: $i] :
      ( ( ! [SY907: $i] :
            ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SY907 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK59_A @ SY907 @ SV7 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK60_SY887 @ SY907 @ SV7 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK61_SY890 @ SY907 @ SV7 ) ) @ ( sK62_SY892 @ SY907 @ SV7 ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_P282169671l_bool @ SY907 @ SV7 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1181]) ).

thf(1435,plain,
    ! [SV8: $i] :
      ( ( SV8
        = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK55_A @ SV8 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK56_SY881 @ SV8 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK57_SY884 @ SV8 ) ) @ ( sK58_SY886 @ SV8 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1182]) ).

thf(1436,plain,
    ! [SV9: $i] :
      ( ( ! [SY908: $i,SY909: $i] :
            ( ( ( hAPP_l207779698on_val @ SV9 @ SY908 )
             != SY909 )
            | ( ( fun_up1149430426on_val @ SV9 @ SY908 @ SY909 )
              = SV9 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1193]) ).

thf(1437,plain,
    ! [SV10: $i] :
      ( ( ! [SY910: $i,SY911: $i,SY912: $i] :
            ( ( SY911 = SY912 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV10 @ SY912 @ SY910 ) @ SY911 )
              = ( hAPP_l207779698on_val @ SV10 @ SY911 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1194]) ).

thf(1438,plain,
    ! [SV11: $i] :
      ( ( ! [SY913: $i,SY914: $i,SY915: $i,SY916: $i] :
            ( ( SY915 = SY916 )
            | ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SY915 @ SY913 ) @ SY916 @ SY914 )
              = ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SY916 @ SY914 ) @ SY915 @ SY913 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1195]) ).

thf(1439,plain,
    ! [SV12: $i] :
      ( ( ! [SY917: $i,SY918: $i] :
            ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV12 @ SY917 @ SY918 ) @ SY917 )
            = SY918 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1197]) ).

thf(1440,plain,
    ! [SV13: $i] :
      ( ( ! [SY919: $i,SY920: $i,SY921: $i] :
            ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV13 @ SY919 @ SY920 ) @ SY919 @ SY921 )
            = ( fun_up1149430426on_val @ SV13 @ SY919 @ SY921 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1198]) ).

thf(1441,plain,
    ! [SV14: $i] :
      ( ( ! [SY922: $i] : ( hBOOL @ ( widen_2090681816t_char @ SV14 @ SY922 @ SY922 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1200]) ).

thf(1442,plain,
    ! [SV15: $i] :
      ( ( SV15
        = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_A @ SV15 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY875 @ SV15 ) ) @ ( sK45_SY877 @ SV15 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1201]) ).

thf(1443,plain,
    ! [SV16: $i] :
      ( ( SV16
        = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_A @ SV16 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK41_SY872 @ SV16 ) ) @ ( sK42_SY874 @ SV16 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1202]) ).

thf(1444,plain,
    ! [SV17: $i] :
      ( ( ! [SY923: $i] :
            ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SY923 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK37_A @ SY923 @ SV17 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK38_SY869 @ SY923 @ SV17 ) ) @ ( sK39_SY871 @ SY923 @ SV17 ) ) ) ) )
            | ( hBOOL @ ( hAPP_P282169671l_bool @ SY923 @ SV17 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1203]) ).

thf(1445,plain,
    ! [SV18: $i] :
      ( ( ! [SY924: $i] :
            ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SY924 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK34_A @ SY924 @ SV18 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK35_SY866 @ SY924 @ SV18 ) ) @ ( sK36_SY868 @ SY924 @ SV18 ) ) ) ) )
            | ( hBOOL @ ( hAPP_P1708370145l_bool @ SY924 @ SV18 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1204]) ).

thf(1446,plain,
    ! [SV19: $i] :
      ( ( SV19
        = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK26_A @ SV19 ) ) @ ( sK27_SY862 @ SV19 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1208]) ).

thf(1447,plain,
    ! [SV20: $i] :
      ( ( SV20
        = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK24_A @ SV20 ) ) @ ( sK25_SY861 @ SV20 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1209]) ).

thf(1448,plain,
    ! [SV21: $i] :
      ( ( SV21
        = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK22_A @ SV21 ) ) @ ( sK23_SY860 @ SV21 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1210]) ).

thf(1449,plain,
    ! [SV22: $i] :
      ( ( SV22
        = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK20_X_2 @ SV22 ) ) @ ( sK21_SY859 @ SV22 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1211]) ).

thf(1450,plain,
    ! [SV23: $i] :
      ( ( SV23
        = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK18_X_2 @ SV23 ) ) @ ( sK19_SY858 @ SV23 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1212]) ).

thf(1451,plain,
    ! [SV24: $i] :
      ( ( SV24
        = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK16_X_2 @ SV24 ) ) @ ( sK17_SY857 @ SV24 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1213]) ).

thf(1452,plain,
    ! [SV25: $i] :
      ( ( ! [SY925: $i,SY926: $i,SY927: $i] :
            ( ~ ( hBOOL @ ( widen_2090681816t_char @ SY925 @ SY926 @ SY927 ) )
            | ~ ( hBOOL @ ( widen_2090681816t_char @ SY925 @ SY927 @ SV25 ) )
            | ( hBOOL @ ( widen_2090681816t_char @ SY925 @ SY926 @ SV25 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1217]) ).

thf(1453,plain,
    ! [SV26: $i] :
      ( ( ! [SY928: $i,SY929: $i,SY930: $i,SY931: $i] :
            ( ! [SY932: $i,SY933: $i] :
                ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV26 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY928 ) @ SY929 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY930 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY931 ) @ SY932 ) ) ) @ ( red @ SY933 ) ) )
            | ( hBOOL @ ( hext @ SY928 @ SY931 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1218]) ).

thf(1454,plain,
    ! [SV27: $i] :
      ( ( ! [SY934: $i,SY935: $i,SY936: $i,SY937: $i,SY938: $i,SY939: $i,SY940: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY934 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY935 ) @ SY936 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY937 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY938 ) @ SY939 ) ) ) @ ( red @ SY940 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY934 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY935 ) @ ( map_ad325961431ar_val @ SV27 @ SY936 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY937 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY938 ) @ ( map_ad325961431ar_val @ SV27 @ SY939 ) ) ) ) @ ( red @ SY940 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1220]) ).

thf(1455,plain,
    ! [SV28: $i] :
      ( ( ! [SY941: $i,SY942: $i,SY943: $i,SY944: $i] :
            ( ~ ( hBOOL @ ( hext @ SY943 @ SY944 ) )
            | ~ ( hBOOL @ ( conf_P373316194t_char @ SV28 @ SY943 @ SY941 @ SY942 ) )
            | ( hBOOL @ ( conf_P373316194t_char @ SV28 @ SY944 @ SY941 @ SY942 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1221]) ).

thf(1456,plain,
    ! [SV29: $i] :
      ( ( ! [SY945: $i,SY946: $i,SY947: $i,SY948: $i] :
            ( ~ ( hBOOL @ ( conf_P373316194t_char @ SY945 @ SY946 @ SY947 @ SY948 ) )
            | ~ ( hBOOL @ ( widen_2090681816t_char @ SY945 @ SY948 @ SV29 ) )
            | ( hBOOL @ ( conf_P373316194t_char @ SY945 @ SY946 @ SY947 @ SV29 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1222]) ).

thf(1457,plain,
    ! [SV30: $i] :
      ( ( ! [SY949: $i,SY950: $i,SY951: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( val_list_char @ SV30 ) @ SY949 ) ) @ SY950 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY949 ) @ SY950 ) ) @ ( red @ SY951 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1223]) ).

thf(1458,plain,
    ! [SV31: $i] :
      ( ( ! [SY952: $i,SY953: $i,SY954: $i,SY955: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV31 @ SY952 @ ( val_list_char @ SY953 ) ) ) @ SY954 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY953 ) ) @ SY954 ) ) @ ( red @ SY955 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1224]) ).

thf(1459,plain,
    ! [SV32: $i] :
      ( ( ! [SY956: $i,SY957: $i,SY958: $i] :
            ( ( ( hAPP_P2094403585on_val @ SY956 @ SY957 )
             != ( hAPP_val_option_val @ some_val @ SY958 ) )
            | ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ SV32 @ SY956 ) @ SY957 )
              = ( hAPP_val_option_val @ some_val @ SY958 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1225]) ).

thf(1460,plain,
    ! [SV33: $i] :
      ( ( ! [SY959: $i,SY960: $i,SY961: $i] :
            ( ( ( hAPP_l207779698on_val @ SY959 @ SY960 )
             != ( hAPP_val_option_val @ some_val @ SY961 ) )
            | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV33 @ SY959 ) @ SY960 )
              = ( hAPP_val_option_val @ some_val @ SY961 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1226]) ).

thf(1461,plain,
    ! [SV34: $i] :
      ( ( ! [SY962: $i,SY963: $i,SY964: $i,SY965: $i,SY966: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY962 ) @ SY963 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY964 ) @ SY965 ) ) @ ( red @ SY966 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV34 @ SY962 ) ) @ SY963 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV34 @ SY964 ) ) @ SY965 ) ) @ ( red @ SY966 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1236]) ).

thf(1462,plain,
    ! [SV35: $i] :
      ( ( ! [SY967: $i,SY968: $i,SY969: $i,SY970: $i,SY971: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY967 ) @ SY968 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY969 ) @ SY970 ) ) @ ( red @ SY971 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY967 @ SV35 ) ) @ SY968 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY969 @ SV35 ) ) @ SY970 ) ) @ ( red @ SY971 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1237]) ).

thf(1463,plain,
    ! [SV36: $i] :
      ( ( ! [SY972: $i,SY973: $i,SY974: $i] :
            ( ( map_ad325961431ar_val @ SV36 @ ( fun_up1149430426on_val @ SY972 @ SY973 @ ( hAPP_val_option_val @ some_val @ SY974 ) ) )
            = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ SV36 @ SY972 ) @ SY973 @ ( hAPP_val_option_val @ some_val @ SY974 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1238]) ).

thf(1464,plain,
    ! [SV37: $i] :
      ( ( ! [SY975: $i,SY976: $i,SY977: $i] :
            ( ( map_ad1185064968ar_val @ SV37 @ ( fun_up204312361on_val @ SY975 @ SY976 @ ( hAPP_val_option_val @ some_val @ SY977 ) ) )
            = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ SV37 @ SY975 ) @ SY976 @ ( hAPP_val_option_val @ some_val @ SY977 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1239]) ).

thf(1465,plain,
    ! [SV38: $i] :
      ( ( ! [SY978: $i,SY979: $i,SY980: $i,SY981: $i,SY982: $i] :
            ( ! [T_1_2: $i] :
                ~ ( hBOOL @ ( wTrt @ SY979 @ SY980 @ SY981 @ SY982 @ T_1_2 ) )
            | ~ ( hBOOL @ ( wTrt @ SY979 @ SY980 @ SY981 @ SV38 @ SY978 ) )
            | ( hBOOL @ ( wTrt @ SY979 @ SY980 @ SY981 @ ( seq_list_char @ SY982 @ SV38 ) @ SY978 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1240]) ).

thf(1466,plain,
    ! [SV39: $i] :
      ( ( hBOOL @ ( hext @ SV39 @ SV39 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1241]) ).

thf(1467,plain,
    ! [SV40: $i] :
      ( ( ! [SY984: $i,SY985: $i] :
            ( ~ ( hBOOL @ ( hext @ SY984 @ SY985 ) )
            | ~ ( hBOOL @ ( hext @ SY985 @ SV40 ) )
            | ( hBOOL @ ( hext @ SY984 @ SV40 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1242]) ).

thf(1468,plain,
    ! [SV41: $i] :
      ( ( ! [SY986: $i,SY987: $i,SY988: $i,SY989: $i,SY990: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SY986 @ SY987 @ SY988 @ SY989 @ SY990 ) )
            | ~ ( hBOOL @ ( hext @ SY987 @ SV41 ) )
            | ( hBOOL @ ( wTrt @ SY986 @ SV41 @ SY988 @ SY989 @ SY990 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1243]) ).

thf(1469,plain,
    ! [SV42: $i] :
      ( ( ! [SY991: $i] : ( hBOOL @ ( d_list_char @ ( val_list_char @ SV42 ) @ SY991 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1245]) ).

thf(1470,plain,
    ! [SV43: $i] :
      ( ( ! [SY992: $i,SY993: $i,SY994: $i,SY995: $i,SY996: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY992 ) @ SY993 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY994 ) @ SY995 ) ) @ ( transi2024712006on_val @ ( red @ SY996 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY992 @ SV43 ) ) @ SY993 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY994 @ SV43 ) ) @ SY995 ) ) @ ( transi2024712006on_val @ ( red @ SY996 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1246]) ).

thf(1471,plain,
    ! [SV44: $i] :
      ( ( ! [SY997: $i,SY998: $i,SY999: $i,SY1000: $i,SY1001: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY997 ) @ SY998 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY999 ) @ SY1000 ) ) @ ( transi2024712006on_val @ ( red @ SY1001 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV44 @ SY997 ) ) @ SY998 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV44 @ SY999 ) ) @ SY1000 ) ) @ ( transi2024712006on_val @ ( red @ SY1001 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1247]) ).

thf(1472,plain,
    ! [SV45: $i] :
      ( ( ! [SY1002: $i,SY1003: $i,SY1004: $i,SY1005: $i,SY1006: $i,SY1007: $i,SY1008: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1002 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1003 ) @ SY1004 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1005 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1006 ) @ SY1007 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1008 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1002 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1003 ) @ ( map_ad325961431ar_val @ SV45 @ SY1004 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1005 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1006 ) @ ( map_ad325961431ar_val @ SV45 @ SY1007 ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY1008 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1248]) ).

thf(1473,plain,
    ! [SV46: $i] :
      ( ( ! [SY1009: $i,SY1010: $i,SY1011: $i,SY1012: $i,SY1013: $i,SY1014: $i,SY1015: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1011 ) @ SY1012 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1013 ) @ SY1014 ) ) @ ( red @ SY1015 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY1011 @ SV46 @ SY1009 @ SY1010 ) ) @ SY1012 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY1013 @ SV46 @ SY1009 @ SY1010 ) ) @ SY1014 ) ) @ ( red @ SY1015 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1249]) ).

thf(1474,plain,
    ! [SV47: $i] :
      ( ( ! [SY1016: $i,SY1017: $i,SY1018: $i,SY1019: $i,SY1020: $i,SY1021: $i,SY1022: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1018 ) @ SY1019 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1020 ) @ SY1021 ) ) @ ( red @ SY1022 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV47 ) @ SY1016 @ SY1017 @ SY1018 ) ) @ SY1019 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV47 ) @ SY1016 @ SY1017 @ SY1020 ) ) @ SY1021 ) ) @ ( red @ SY1022 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1250]) ).

thf(1475,plain,
    ! [SV48: $i] :
      ( ( ! [SY1023: $i,SY1024: $i,SY1025: $i,SY1026: $i,SY1027: $i,SY1028: $i,SY1029: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1025 ) @ SY1026 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1027 ) @ SY1028 ) ) @ ( transi2024712006on_val @ ( red @ SY1029 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY1025 @ SV48 @ SY1023 @ SY1024 ) ) @ SY1026 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY1027 @ SV48 @ SY1023 @ SY1024 ) ) @ SY1028 ) ) @ ( transi2024712006on_val @ ( red @ SY1029 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1251]) ).

thf(1476,plain,
    ! [SV49: $i] :
      ( ( ! [SY1030: $i,SY1031: $i,SY1032: $i,SY1033: $i,SY1034: $i,SY1035: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1031 ) @ SY1032 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1033 ) @ SY1034 ) ) @ ( red @ SY1035 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY1031 @ SV49 @ SY1030 ) ) @ SY1032 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY1033 @ SV49 @ SY1030 ) ) @ SY1034 ) ) @ ( red @ SY1035 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1252]) ).

thf(1477,plain,
    ! [SV50: $i] :
      ( ( ! [SY1036: $i,SY1037: $i,SY1038: $i,SY1039: $i,SY1040: $i,SY1041: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1037 ) @ SY1038 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1039 ) @ SY1040 ) ) @ ( transi2024712006on_val @ ( red @ SY1041 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY1037 @ SV50 @ SY1036 ) ) @ SY1038 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY1039 @ SV50 @ SY1036 ) ) @ SY1040 ) ) @ ( transi2024712006on_val @ ( red @ SY1041 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1253]) ).

thf(1478,plain,
    ! [SV51: $i] :
      ( ( ! [SY1042: $i,SY1043: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( throw_list_char @ SV51 ) ) ) @ SY1042 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV51 ) ) @ SY1042 ) ) @ ( red @ SY1043 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1254]) ).

thf(1479,plain,
    ! [SV52: $i] :
      ( ( ! [SY1044: $i,SY1045: $i,SY1046: $i,SY1047: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV52 ) @ SY1044 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1045 ) @ SY1046 ) ) @ ( red @ SY1047 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV52 ) ) @ SY1044 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1045 ) ) @ SY1046 ) ) @ ( red @ SY1047 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1255]) ).

thf(1480,plain,
    ! [SV53: $i] :
      ( ( ! [SY1048: $i,SY1049: $i,SY1050: $i,SY1051: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV53 ) @ SY1048 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1049 ) @ SY1050 ) ) @ ( transi2024712006on_val @ ( red @ SY1051 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV53 ) ) @ SY1048 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1049 ) ) @ SY1050 ) ) @ ( transi2024712006on_val @ ( red @ SY1051 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1256]) ).

thf(1481,plain,
    ! [SV54: $i] :
      ( ( ! [SY1052: $i,SY1053: $i,SY1054: $i,SY1055: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV54 ) @ SY1052 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1053 ) ) @ SY1054 ) ) @ ( transi2024712006on_val @ ( red @ SY1055 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV54 ) ) @ SY1052 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1053 ) ) @ SY1054 ) ) @ ( transi2024712006on_val @ ( red @ SY1055 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1257]) ).

thf(1482,plain,
    ! [SV55: $i] :
      ( ( ! [SY1056: $i,SY1057: $i,SY1058: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV55 @ ( throw_list_char @ SY1056 ) ) ) @ SY1057 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1056 ) ) @ SY1057 ) ) @ ( red @ SY1058 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1258]) ).

thf(1483,plain,
    ! [SV56: $i] :
      ( ( ! [SY1059: $i,SY1060: $i,SY1061: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( throw_list_char @ SV56 ) @ SY1059 ) ) @ SY1060 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV56 ) ) @ SY1060 ) ) @ ( red @ SY1061 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1259]) ).

thf(1484,plain,
    ! [SV57: $i] :
      ( ( ! [SY1062: $i,SY1063: $i,SY1064: $i,SY1065: $i,SY1066: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( throw_list_char @ SV57 ) @ SY1062 @ SY1063 @ SY1064 ) ) @ SY1065 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV57 ) ) @ SY1065 ) ) @ ( red @ SY1066 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1260]) ).

thf(1485,plain,
    ! [SV58: $i] :
      ( ( ! [SY1067: $i,SY1068: $i,SY1069: $i,SY1070: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ ( throw_list_char @ SV58 ) @ SY1067 @ SY1068 ) ) @ SY1069 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV58 ) ) @ SY1069 ) ) @ ( red @ SY1070 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1261]) ).

thf(1486,plain,
    ! [SV59: $i] :
      ( ( ! [SY1071: $i,SY1072: $i,SY1073: $i,SY1074: $i,SY1075: $i,SY1076: $i,SY1077: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1073 ) @ SY1074 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1075 ) @ SY1076 ) ) @ ( red @ SY1077 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY1073 @ SV59 @ SY1071 @ SY1072 ) ) @ SY1074 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY1075 @ SV59 @ SY1071 @ SY1072 ) ) @ SY1076 ) ) @ ( red @ SY1077 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1262]) ).

thf(1487,plain,
    ! [SV60: $i] :
      ( ( ! [SY1078: $i,SY1079: $i,SY1080: $i,SY1081: $i,SY1082: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ ( val_list_char @ SV60 ) @ SY1078 @ SY1079 @ SY1080 ) ) @ SY1081 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV60 ) ) @ SY1081 ) ) @ ( red @ SY1082 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1263]) ).

thf(1488,plain,
    ! [SV61: $i] :
      ( ( ! [SY1083: $i,SY1084: $i,SY1085: $i,SY1086: $i,SY1087: $i,SY1088: $i,SY1089: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1085 ) @ SY1086 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1087 ) @ SY1088 ) ) @ ( transi2024712006on_val @ ( red @ SY1089 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY1085 @ SV61 @ SY1083 @ SY1084 ) ) @ SY1086 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY1087 @ SV61 @ SY1083 @ SY1084 ) ) @ SY1088 ) ) @ ( transi2024712006on_val @ ( red @ SY1089 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1264]) ).

thf(1489,plain,
    ! [SV62: $i] :
      ( ( ! [SY1090: $i,SY1091: $i,SY1092: $i,SY1093: $i,SY1094: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1090 ) @ SY1091 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1092 ) @ SY1093 ) ) @ ( red @ SY1094 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV62 @ SY1090 ) ) @ SY1091 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV62 @ SY1092 ) ) @ SY1093 ) ) @ ( red @ SY1094 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1265]) ).

thf(1490,plain,
    ! [SV63: $i] :
      ( ( ! [SY1095: $i,SY1096: $i,SY1097: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV63 @ ( throw_list_char @ SY1095 ) ) ) @ SY1096 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1095 ) ) @ SY1096 ) ) @ ( red @ SY1097 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1266]) ).

thf(1491,plain,
    ! [SV64: $i] :
      ( ( ! [SY1098: $i,SY1099: $i,SY1100: $i,SY1101: $i,SY1102: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1098 ) @ SY1099 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1100 ) @ SY1101 ) ) @ ( transi2024712006on_val @ ( red @ SY1102 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV64 @ SY1098 ) ) @ SY1099 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV64 @ SY1100 ) ) @ SY1101 ) ) @ ( transi2024712006on_val @ ( red @ SY1102 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1267]) ).

thf(1492,plain,
    ! [SV65: $i] :
      ( ( ! [SY1103: $i,SY1104: $i,SY1105: $i,SY1106: $i,SY1107: $i,SY1108: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1104 ) @ SY1105 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1106 ) @ SY1107 ) ) @ ( red @ SY1108 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY1104 @ SV65 @ SY1103 ) ) @ SY1105 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY1106 @ SV65 @ SY1103 ) ) @ SY1107 ) ) @ ( red @ SY1108 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1268]) ).

thf(1493,plain,
    ! [SV66: $i] :
      ( ( ! [SY1109: $i,SY1110: $i,SY1111: $i,SY1112: $i,SY1113: $i,SY1114: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1110 ) @ SY1111 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1112 ) @ SY1113 ) ) @ ( red @ SY1114 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV66 ) @ SY1109 @ SY1110 ) ) @ SY1111 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV66 ) @ SY1109 @ SY1112 ) ) @ SY1113 ) ) @ ( red @ SY1114 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1269]) ).

thf(1494,plain,
    ! [SV67: $i] :
      ( ( ! [SY1115: $i,SY1116: $i,SY1117: $i,SY1118: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( throw_list_char @ SV67 ) @ SY1115 @ SY1116 ) ) @ SY1117 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV67 ) ) @ SY1117 ) ) @ ( red @ SY1118 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1270]) ).

thf(1495,plain,
    ! [SV68: $i] :
      ( ( ! [SY1119: $i,SY1120: $i,SY1121: $i,SY1122: $i,SY1123: $i,SY1124: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1120 ) @ SY1121 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1122 ) @ SY1123 ) ) @ ( transi2024712006on_val @ ( red @ SY1124 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY1120 @ SV68 @ SY1119 ) ) @ SY1121 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY1122 @ SV68 @ SY1119 ) ) @ SY1123 ) ) @ ( transi2024712006on_val @ ( red @ SY1124 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1271]) ).

thf(1496,plain,
    ( ( hBOOL @ fFalse )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1273]) ).

thf(1497,plain,
    ! [SV69: $i] :
      ( ( is_bool @ ( final_list_char @ SV69 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1274]) ).

thf(1498,plain,
    ! [SV70: $i] :
      ( ( ! [SY1125: $i,SY1126: $i,SY1127: $i] : ( is_bool @ ( conf_P373316194t_char @ SV70 @ SY1125 @ SY1126 @ SY1127 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1275]) ).

thf(1499,plain,
    ! [SV71: $i] :
      ( ( ! [SY1128: $i] : ( is_bool @ ( d_list_char @ SV71 @ SY1128 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1276]) ).

thf(1500,plain,
    ! [SV72: $i] :
      ( ( ! [SY1129: $i] : ( is_bool @ ( hext @ SV72 @ SY1129 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1277]) ).

thf(1501,plain,
    ! [SV73: $i] :
      ( ( ! [SY1130: $i] : ( is_bool @ ( assigned @ SV73 @ SY1130 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1278]) ).

thf(1502,plain,
    ! [SV74: $i] :
      ( ( ! [SY1131: $i,SY1132: $i] : ( is_bool @ ( widen_2090681816t_char @ SV74 @ SY1131 @ SY1132 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1279]) ).

thf(1503,plain,
    ! [SV75: $i] :
      ( ( is_bool @ ( is_refT @ SV75 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1280]) ).

thf(1504,plain,
    ! [SV76: $i] :
      ( ( ! [SY1133: $i] : ( is_bool @ ( wf_pro755087577t_char @ SV76 @ SY1133 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1281]) ).

thf(1505,plain,
    ! [SV77: $i] :
      ( ( ! [SY1134: $i,SY1135: $i,SY1136: $i,SY1137: $i] : ( is_bool @ ( wTrt @ SV77 @ SY1134 @ SY1135 @ SY1136 @ SY1137 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1282]) ).

thf(1506,plain,
    ! [SV78: $i] :
      ( ( ! [SY1138: $i] :
            ( ~ ( is_bool @ SY1138 )
            | ( is_bool @ ( hAPP_bool_bool @ SV78 @ SY1138 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1285]) ).

thf(1507,plain,
    ! [SV79: $i] :
      ( ( ! [SY1139: $i] : ( is_bool @ ( hAPP_list_char_bool @ SV79 @ SY1139 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1286]) ).

thf(1508,plain,
    ! [SV80: $i] :
      ( ( ! [SY1140: $i] : ( is_bool @ ( hAPP_nat_bool @ SV80 @ SY1140 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1287]) ).

thf(1509,plain,
    ! [SV81: $i] :
      ( ( ! [SY1141: $i] : ( is_bool @ ( hAPP_val_bool @ SV81 @ SY1141 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1288]) ).

thf(1510,plain,
    ! [SV82: $i] :
      ( ( ! [SY1142: $i] : ( is_bool @ ( hAPP_f1001225811y_bool @ SV82 @ SY1142 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1289]) ).

thf(1511,plain,
    ! [SV83: $i] :
      ( ( ! [SY1143: $i] : ( is_bool @ ( hAPP_f1033709212l_bool @ SV83 @ SY1143 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1290]) ).

thf(1512,plain,
    ! [SV84: $i] :
      ( ( ! [SY1144: $i] : ( is_bool @ ( hAPP_f61040418l_bool @ SV84 @ SY1144 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1291]) ).

thf(1513,plain,
    ! [SV85: $i] :
      ( ( ! [SY1145: $i] : ( is_bool @ ( hAPP_f1715346603l_bool @ SV85 @ SY1145 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1292]) ).

thf(1514,plain,
    ! [SV86: $i] :
      ( ( ! [SY1146: $i] : ( is_bool @ ( hAPP_P943837928l_bool @ SV86 @ SY1146 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1293]) ).

thf(1515,plain,
    ! [SV87: $i] :
      ( ( ! [SY1147: $i] : ( is_bool @ ( hAPP_P1708370145l_bool @ SV87 @ SY1147 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1294]) ).

thf(1516,plain,
    ! [SV88: $i] :
      ( ( ! [SY1148: $i] : ( is_bool @ ( hAPP_P449474095r_bool @ SV88 @ SY1148 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1295]) ).

thf(1517,plain,
    ! [SV89: $i] :
      ( ( ! [SY1149: $i] : ( is_bool @ ( hAPP_P1235399154l_bool @ SV89 @ SY1149 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1296]) ).

thf(1518,plain,
    ! [SV90: $i] :
      ( ( ! [SY1150: $i] : ( is_bool @ ( hAPP_P1384137393r_bool @ SV90 @ SY1150 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1297]) ).

thf(1519,plain,
    ! [SV91: $i] :
      ( ( ! [SY1151: $i] : ( is_bool @ ( hAPP_P929938951l_bool @ SV91 @ SY1151 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1298]) ).

thf(1520,plain,
    ! [SV92: $i] :
      ( ( ! [SY1152: $i] : ( is_bool @ ( hAPP_P159683425l_bool @ SV92 @ SY1152 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1299]) ).

thf(1521,plain,
    ! [SV93: $i] :
      ( ( ! [SY1153: $i] : ( is_bool @ ( hAPP_P282169671l_bool @ SV93 @ SY1153 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1300]) ).

thf(1522,plain,
    ! [SV94: $i] :
      ( ( ! [SY1154: $i] : ( is_bool @ ( member_list_char @ SV94 @ SY1154 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1301]) ).

thf(1523,plain,
    ! [SV95: $i] :
      ( ( ! [SY1155: $i] : ( is_bool @ ( member_nat @ SV95 @ SY1155 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1302]) ).

thf(1524,plain,
    ! [SV96: $i] :
      ( ( ! [SY1156: $i] : ( is_bool @ ( member1417904245al_val @ SV96 @ SY1156 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1303]) ).

thf(1525,plain,
    ! [SV97: $i] :
      ( ( ! [SY1157: $i] : ( is_bool @ ( member840932460on_val @ SV97 @ SY1157 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1304]) ).

thf(1526,plain,
    ! [SV98: $i] :
      ( ( ! [SY1158: $i] : ( is_bool @ ( member1251428284t_char @ SV98 @ SY1158 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1305]) ).

thf(1527,plain,
    ! [SV99: $i] :
      ( ( ! [SY1159: $i] : ( is_bool @ ( member1542417277on_val @ SV99 @ SY1159 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1306]) ).

thf(1528,plain,
    ! [SV100: $i] :
      ( ( ! [SY1160: $i] : ( is_bool @ ( member649088532al_val @ SV100 @ SY1160 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1307]) ).

thf(1529,plain,
    ! [SV101: $i] :
      ( ( ! [SY1161: $i] : ( is_bool @ ( member763590124on_val @ SV101 @ SY1161 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1308]) ).

thf(1530,plain,
    ! [SV102: $i] :
      ( ( ! [SY1162: $i] :
            ( ( fun_up204312361on_val @ SV102 @ SY1162 @ ( hAPP_P2094403585on_val @ SV102 @ SY1162 ) )
            = SV102 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1309]) ).

thf(1531,plain,
    ! [SV103: $i] :
      ( ( ! [SY1163: $i,SY1164: $i] :
            ( ( ( hAPP_P2094403585on_val @ SV103 @ SY1163 )
             != SY1164 )
            | ( ( fun_up204312361on_val @ SV103 @ SY1163 @ SY1164 )
              = SV103 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1312]) ).

thf(1532,plain,
    ! [SV104: $i] :
      ( ( ! [SY1165: $i,SY1166: $i,SY1167: $i] :
            ( ( SY1166 = SY1167 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV104 @ SY1167 @ SY1165 ) @ SY1166 )
              = ( hAPP_P2094403585on_val @ SV104 @ SY1166 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1313]) ).

thf(1533,plain,
    ! [SV105: $i] :
      ( ( ! [SY1168: $i,SY1169: $i,SY1170: $i,SY1171: $i] :
            ( ( SY1170 = SY1171 )
            | ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV105 @ SY1170 @ SY1168 ) @ SY1171 @ SY1169 )
              = ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV105 @ SY1171 @ SY1169 ) @ SY1170 @ SY1168 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1314]) ).

thf(1534,plain,
    ! [SV106: $i] :
      ( ( ! [SY1172: $i,SY1173: $i] :
            ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV106 @ SY1172 @ SY1173 ) @ SY1172 )
            = SY1173 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1316]) ).

thf(1535,plain,
    ! [SV107: $i] :
      ( ( ! [SY1174: $i,SY1175: $i,SY1176: $i] :
            ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV107 @ SY1174 @ SY1175 ) @ SY1174 @ SY1176 )
            = ( fun_up204312361on_val @ SV107 @ SY1174 @ SY1176 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1317]) ).

thf(1536,plain,
    ! [SV108: $i] :
      ( ( ! [SY1177: $i,SY1178: $i] :
            ( ~ ( hBOOL @ ( member1251428284t_char @ SY1177 @ ( dom_Pr695701035ar_val @ SY1178 ) ) )
            | ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ SV108 @ SY1178 ) @ SY1177 )
              = ( hAPP_P2094403585on_val @ SY1178 @ SY1177 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1319]) ).

thf(1537,plain,
    ! [SV109: $i] :
      ( ( ! [SY1179: $i,SY1180: $i] :
            ( ~ ( hBOOL @ ( member_list_char @ SY1179 @ ( dom_list_char_val @ SY1180 ) ) )
            | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV109 @ SY1180 ) @ SY1179 )
              = ( hAPP_l207779698on_val @ SY1180 @ SY1179 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1320]) ).

thf(1538,plain,
    ! [SV110: $i] :
      ( ( ! [SY1181: $i,SY1182: $i] :
            ( ( hBOOL @ ( member1251428284t_char @ SY1181 @ ( dom_Pr695701035ar_val @ SY1182 ) ) )
            | ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ SV110 @ SY1182 ) @ SY1181 )
              = ( hAPP_P2094403585on_val @ SV110 @ SY1181 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1321]) ).

thf(1539,plain,
    ! [SV111: $i] :
      ( ( ! [SY1183: $i,SY1184: $i] :
            ( ( hBOOL @ ( member_list_char @ SY1183 @ ( dom_list_char_val @ SY1184 ) ) )
            | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV111 @ SY1184 ) @ SY1183 )
              = ( hAPP_l207779698on_val @ SV111 @ SY1183 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1322]) ).

thf(1540,plain,
    ! [SV112: $i] :
      ( ( ! [SY1185: $i,SY1186: $i] :
            ( ( hBOOL @ ( member1251428284t_char @ SY1185 @ ( dom_Pr695701035ar_val @ SY1186 ) ) )
            | ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ SY1186 @ SV112 ) @ SY1185 )
              = ( hAPP_P2094403585on_val @ SV112 @ SY1185 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1323]) ).

thf(1541,plain,
    ! [SV113: $i] :
      ( ( ! [SY1187: $i,SY1188: $i] :
            ( ( hBOOL @ ( member_list_char @ SY1187 @ ( dom_list_char_val @ SY1188 ) ) )
            | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SY1188 @ SV113 ) @ SY1187 )
              = ( hAPP_l207779698on_val @ SV113 @ SY1187 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1324]) ).

thf(1542,plain,
    ! [SV114: $i] :
      ( ( ! [SY1189: $i,SY1190: $i] :
            ( ( map_ad1185064968ar_val @ SV114 @ ( map_ad1185064968ar_val @ SY1189 @ SY1190 ) )
            = ( map_ad1185064968ar_val @ ( map_ad1185064968ar_val @ SV114 @ SY1189 ) @ SY1190 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1325]) ).

thf(1543,plain,
    ! [SV115: $i] :
      ( ( ! [SY1191: $i,SY1192: $i] :
            ( ( map_ad325961431ar_val @ SV115 @ ( map_ad325961431ar_val @ SY1191 @ SY1192 ) )
            = ( map_ad325961431ar_val @ ( map_ad325961431ar_val @ SV115 @ SY1191 ) @ SY1192 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1326]) ).

thf(1544,plain,
    ! [SV116: $i] :
      ( ( ! [SY1193: $i,SY1194: $i,SY1195: $i,SY1196: $i,SY1197: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV116 @ SY1193 @ ( seq_list_char @ ( lAss_list_char @ SV116 @ ( val_list_char @ SY1194 ) ) @ ( val_list_char @ SY1195 ) ) ) ) @ SY1196 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY1195 ) ) @ SY1196 ) ) @ ( red @ SY1197 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1327]) ).

thf(1545,plain,
    ! [SV117: $i] :
      ( ( ! [SY1198: $i,SY1199: $i,SY1200: $i] :
            ( ( hBOOL @ ( member1251428284t_char @ SY1199 @ ( dom_Pr695701035ar_val @ SY1200 ) ) )
            | ( ( map_ad1185064968ar_val @ ( fun_up204312361on_val @ SV117 @ SY1199 @ ( hAPP_val_option_val @ some_val @ SY1198 ) ) @ SY1200 )
              = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ SV117 @ SY1200 ) @ SY1199 @ ( hAPP_val_option_val @ some_val @ SY1198 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1328]) ).

thf(1546,plain,
    ! [SV118: $i] :
      ( ( ! [SY1201: $i,SY1202: $i,SY1203: $i] :
            ( ( hBOOL @ ( member_list_char @ SY1202 @ ( dom_list_char_val @ SY1203 ) ) )
            | ( ( map_ad325961431ar_val @ ( fun_up1149430426on_val @ SV118 @ SY1202 @ ( hAPP_val_option_val @ some_val @ SY1201 ) ) @ SY1203 )
              = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ SV118 @ SY1203 ) @ SY1202 @ ( hAPP_val_option_val @ some_val @ SY1201 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1329]) ).

thf(1547,plain,
    ! [SV119: $i] :
      ( ( ! [SY1204: $i] :
            ( ! [SY1205: $i] :
                ( ( hAPP_P2094403585on_val @ SV119 @ SY1204 )
               != ( hAPP_val_option_val @ some_val @ SY1205 ) )
            | ( hBOOL @ ( member1251428284t_char @ SY1204 @ ( dom_Pr695701035ar_val @ SV119 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1330]) ).

thf(1548,plain,
    ! [SV120: $i] :
      ( ( ! [SY1206: $i] :
            ( ! [SY1207: $i] :
                ( ( hAPP_l207779698on_val @ SV120 @ SY1206 )
               != ( hAPP_val_option_val @ some_val @ SY1207 ) )
            | ( hBOOL @ ( member_list_char @ SY1206 @ ( dom_list_char_val @ SV120 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1331]) ).

thf(1549,plain,
    ! [SV121: $i] :
      ( ( ! [SY1208: $i,SY1209: $i,SY1210: $i,SY1211: $i,SY1212: $i,SY1213: $i,SY1214: $i,SY1215: $i,SY1216: $i,SY1217: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1209 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1210 ) @ ( fun_up1149430426on_val @ SY1211 @ SY1212 @ ( hAPP_val_option_val @ some_val @ SY1213 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1214 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1215 ) @ SY1216 ) ) ) @ ( red @ SY1217 ) ) )
            | ( ( hAPP_l207779698on_val @ SY1216 @ SY1212 )
             != ( hAPP_val_option_val @ some_val @ SY1208 ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY1212 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SY1212 @ ( val_list_char @ SY1213 ) ) @ SY1209 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1210 ) @ SY1211 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY1212 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SY1212 @ ( val_list_char @ SY1208 ) ) @ SY1214 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1215 ) @ ( fun_up1149430426on_val @ SY1216 @ SY1212 @ ( hAPP_l207779698on_val @ SY1211 @ SY1212 ) ) ) ) ) @ ( red @ SY1217 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1332]) ).

thf(1550,plain,
    ! [SV122: $i] :
      ( ( ! [SY1218: $i,SY1219: $i,SY1220: $i,SY1221: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV122 @ ( val_list_char @ SY1218 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1219 ) @ SY1220 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1219 ) @ ( fun_up1149430426on_val @ SY1220 @ SV122 @ ( hAPP_val_option_val @ some_val @ SY1218 ) ) ) ) ) @ ( red @ SY1221 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1333]) ).

thf(1551,plain,
    ! [SV123: $i] :
      ( ( ! [SY1222: $i] :
            ( ~ ( hBOOL @ ( member1251428284t_char @ SV123 @ ( dom_Pr695701035ar_val @ SY1222 ) ) )
            | ( ( hAPP_P2094403585on_val @ SY1222 @ SV123 )
              = ( hAPP_val_option_val @ some_val @ ( sK5_B_1 @ SY1222 @ SV123 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1334]) ).

thf(1552,plain,
    ! [SV124: $i] :
      ( ( ! [SY1223: $i] :
            ( ~ ( hBOOL @ ( member_list_char @ SV124 @ ( dom_list_char_val @ SY1223 ) ) )
            | ( ( hAPP_l207779698on_val @ SY1223 @ SV124 )
              = ( hAPP_val_option_val @ some_val @ ( sK4_B_1 @ SY1223 @ SV124 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1335]) ).

thf(1553,plain,
    ! [SV125: $i] :
      ( ( ! [SY1224: $i,SY1225: $i,SY1226: $i,SY1227: $i] :
            ( ( block_list_char @ SV125 @ SY1224 @ SY1225 )
           != ( lAss_list_char @ SY1226 @ SY1227 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1336]) ).

thf(1554,plain,
    ! [SV126: $i] :
      ( ( ! [SY1228: $i,SY1229: $i] :
            ( ( val_list_char @ SV126 )
           != ( seq_list_char @ SY1228 @ SY1229 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1341]) ).

thf(1555,plain,
    ! [SV127: $i] :
      ( ( ! [SY1230: $i,SY1231: $i] :
            ( ( val_list_char @ SV127 )
           != ( lAss_list_char @ SY1230 @ SY1231 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1342]) ).

thf(1556,plain,
    ! [SV128: $i] :
      ( ( ! [SY1232: $i,SY1233: $i] :
            ( ( seq_list_char @ SV128 @ SY1232 )
           != ( val_list_char @ SY1233 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1343]) ).

thf(1557,plain,
    ! [SV129: $i] :
      ( ( ! [SY1234: $i,SY1235: $i] :
            ( ( lAss_list_char @ SV129 @ SY1234 )
           != ( val_list_char @ SY1235 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1344]) ).

thf(1558,plain,
    ! [SV130: $i] :
      ( ( ! [SY1236: $i,SY1237: $i,SY1238: $i] :
            ( ( val_list_char @ SV130 )
           != ( block_list_char @ SY1236 @ SY1237 @ SY1238 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1345]) ).

thf(1559,plain,
    ! [SV131: $i] :
      ( ( ! [SY1239: $i,SY1240: $i,SY1241: $i] :
            ( ( block_list_char @ SV131 @ SY1239 @ SY1240 )
           != ( val_list_char @ SY1241 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1346]) ).

thf(1560,plain,
    ! [SV132: $i] :
      ( ( ! [SY1242: $i,SY1243: $i,SY1244: $i] :
            ( ( seq_list_char @ SV132 @ SY1242 )
           != ( lAss_list_char @ SY1243 @ SY1244 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1347]) ).

thf(1561,plain,
    ! [SV133: $i] :
      ( ( ! [SY1245: $i,SY1246: $i,SY1247: $i] :
            ( ( lAss_list_char @ SV133 @ SY1245 )
           != ( seq_list_char @ SY1246 @ SY1247 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1348]) ).

thf(1562,plain,
    ! [SV134: $i] :
      ( ( ! [SY1248: $i,SY1249: $i,SY1250: $i,SY1251: $i] :
            ( ( seq_list_char @ SV134 @ SY1248 )
           != ( block_list_char @ SY1249 @ SY1250 @ SY1251 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1349]) ).

thf(1563,plain,
    ! [SV135: $i] :
      ( ( ! [SY1252: $i,SY1253: $i,SY1254: $i,SY1255: $i] :
            ( ( lAss_list_char @ SV135 @ SY1252 )
           != ( block_list_char @ SY1253 @ SY1254 @ SY1255 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1350]) ).

thf(1564,plain,
    ! [SV136: $i] :
      ( ( ! [SY1256: $i,SY1257: $i,SY1258: $i,SY1259: $i] :
            ( ( block_list_char @ SV136 @ SY1256 @ SY1257 )
           != ( seq_list_char @ SY1258 @ SY1259 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1351]) ).

thf(1565,plain,
    ! [SV137: $i] :
      ( ( ! [SY1260: $i,SY1261: $i,SY1262: $i,SY1263: $i,SY1264: $i,SY1265: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1260 ) @ SY1261 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY1262 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1263 ) @ SY1264 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1265 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV137 @ SY1260 ) ) @ SY1261 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1263 ) @ ( fun_up1149430426on_val @ SY1264 @ SV137 @ ( hAPP_val_option_val @ some_val @ SY1262 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY1265 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1352]) ).

thf(1566,plain,
    ! [SV138: $i] :
      ( ( ! [SY1266: $i,SY1267: $i,SY1268: $i,SY1269: $i,SY1270: $i,SY1271: $i,SY1272: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1268 ) @ SY1269 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY1270 ) ) @ SY1271 ) ) @ ( transi2024712006on_val @ ( red @ SY1272 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV138 ) @ SY1271 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1266 ) @ SY1267 ) ) @ ( transi2024712006on_val @ ( red @ SY1272 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY1268 @ SV138 ) ) @ SY1269 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1266 ) @ SY1267 ) ) @ ( transi2024712006on_val @ ( red @ SY1272 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1353]) ).

thf(1567,plain,
    ! [SV139: $i] :
      ( ( ! [SY1273: $i,SY1274: $i,SY1275: $i,SY1276: $i,SY1277: $i,SY1278: $i,SY1279: $i,SY1280: $i,SY1281: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1273 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1274 ) @ ( fun_up1149430426on_val @ SY1275 @ SY1276 @ ( hAPP_val_option_val @ some_val @ SY1277 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1278 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1279 ) @ SY1280 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1281 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY1276 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SY1276 @ ( val_list_char @ SY1277 ) ) @ SY1273 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1274 ) @ SY1275 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY1276 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SY1276 @ ( val_list_char @ ( the_val @ ( hAPP_l207779698on_val @ SY1280 @ SY1276 ) ) ) ) @ SY1278 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1279 ) @ ( fun_up1149430426on_val @ SY1280 @ SY1276 @ ( hAPP_l207779698on_val @ SY1275 @ SY1276 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY1281 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1354]) ).

thf(1568,plain,
    ! [SV140: $i] :
      ( ( ! [SY1282: $i,SY1283: $i,SY1284: $i,SY1285: $i,SY1286: $i,SY1287: $i,SY1288: $i,SY1289: $i,SY1290: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1282 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1283 ) @ ( fun_up1149430426on_val @ SY1284 @ SY1285 @ ( hAPP_val_option_val @ some_val @ SY1286 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1287 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1288 ) @ SY1289 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1290 ) ) ) )
            | ~ ( hBOOL @ ( final_list_char @ SY1287 ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY1285 @ SV140 @ ( seq_list_char @ ( lAss_list_char @ SY1285 @ ( val_list_char @ SY1286 ) ) @ SY1282 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1283 ) @ SY1284 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1287 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1288 ) @ ( fun_up1149430426on_val @ SY1289 @ SY1285 @ ( hAPP_l207779698on_val @ SY1284 @ SY1285 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY1290 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1355]) ).

thf(1569,plain,
    ! [SV141: $i] :
      ( ( ~ ( hBOOL @ ( wf_pro755087577t_char @ wf_J_mdecl @ SV141 ) )
        | ( hBOOL @ ( wf_pro755087577t_char @ wwf_J_mdecl @ SV141 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1357]) ).

thf(1570,plain,
    ! [SV142: $i] :
      ( ( ! [SY1291: $i,SY1292: $i,SY1293: $i,SY1294: $i,SY1295: $i,SY1296: $i,SY1297: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1293 ) @ SY1294 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1295 ) @ SY1296 ) ) @ ( transi2024712006on_val @ ( red @ SY1297 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV142 ) @ SY1291 @ SY1292 @ SY1293 ) ) @ SY1294 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV142 ) @ SY1291 @ SY1292 @ SY1295 ) ) @ SY1296 ) ) @ ( transi2024712006on_val @ ( red @ SY1297 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1358]) ).

thf(1571,plain,
    ! [SV143: $i] :
      ( ( ! [SY1298: $i,SY1299: $i,SY1300: $i,SY1301: $i,SY1302: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV143 @ SY1298 @ ( seq_list_char @ ( lAss_list_char @ SV143 @ ( val_list_char @ SY1299 ) ) @ ( throw_list_char @ ( val_list_char @ ( addr @ SY1300 ) ) ) ) ) ) @ SY1301 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ SY1300 ) ) ) ) @ SY1301 ) ) @ ( red @ SY1302 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1359]) ).

thf(1572,plain,
    ! [SV144: $i] :
      ( ( ! [SY1303: $i,SY1304: $i,SY1305: $i,SY1306: $i,SY1307: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV144 ) @ SY1303 @ SY1304 @ ( throw_list_char @ SY1305 ) ) ) @ SY1306 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1305 ) ) @ SY1306 ) ) @ ( red @ SY1307 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1360]) ).

thf(1573,plain,
    ! [SV145: $i] :
      ( ( ! [SY1308: $i,SY1309: $i,SY1310: $i,SY1311: $i,SY1312: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1308 ) @ SY1309 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1310 ) ) @ SY1311 ) ) @ ( transi2024712006on_val @ ( red @ SY1312 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV145 @ SY1308 ) ) @ SY1309 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1310 ) ) @ SY1311 ) ) @ ( transi2024712006on_val @ ( red @ SY1312 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1361]) ).

thf(1574,plain,
    ! [SV146: $i] :
      ( ( ! [SY1313: $i,SY1314: $i,SY1315: $i,SY1316: $i,SY1317: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1313 ) @ SY1314 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1315 ) ) @ SY1316 ) ) @ ( transi2024712006on_val @ ( red @ SY1317 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY1313 @ SV146 ) ) @ SY1314 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1315 ) ) @ SY1316 ) ) @ ( transi2024712006on_val @ ( red @ SY1317 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1362]) ).

thf(1575,plain,
    ! [SV147: $i] :
      ( ( ! [SY1318: $i,SY1319: $i,SY1320: $i,SY1321: $i,SY1322: $i,SY1323: $i,SY1324: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1320 ) @ SY1321 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1322 ) ) @ SY1323 ) ) @ ( transi2024712006on_val @ ( red @ SY1324 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY1320 @ SV147 @ SY1318 @ SY1319 ) ) @ SY1321 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1322 ) ) @ SY1323 ) ) @ ( transi2024712006on_val @ ( red @ SY1324 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1363]) ).

thf(1576,plain,
    ! [SV148: $i] :
      ( ( ! [SY1325: $i,SY1326: $i,SY1327: $i,SY1328: $i,SY1329: $i,SY1330: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1326 ) @ SY1327 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1328 ) ) @ SY1329 ) ) @ ( transi2024712006on_val @ ( red @ SY1330 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY1326 @ SV148 @ SY1325 ) ) @ SY1327 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1328 ) ) @ SY1329 ) ) @ ( transi2024712006on_val @ ( red @ SY1330 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1364]) ).

thf(1577,plain,
    ! [SV149: $i] :
      ( ( ! [SY1331: $i,SY1332: $i,SY1333: $i,SY1334: $i,SY1335: $i,SY1336: $i,SY1337: $i,SY1338: $i,SY1339: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1335 ) @ SY1336 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY1337 ) ) @ SY1338 ) ) @ ( transi2024712006on_val @ ( red @ SY1339 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1332 ) @ SY1338 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1333 ) ) @ SY1334 ) ) @ ( transi2024712006on_val @ ( red @ SY1339 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY1335 @ SV149 @ SY1331 @ SY1332 ) ) @ SY1336 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1333 ) ) @ SY1334 ) ) @ ( transi2024712006on_val @ ( red @ SY1339 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1365]) ).

thf(1578,plain,
    ! [SV150: $i] :
      ( ( ! [SY1340: $i,SY1341: $i,SY1342: $i,SY1343: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV150 @ SY1340 @ ( throw_list_char @ ( val_list_char @ ( addr @ SY1341 ) ) ) ) ) @ SY1342 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ SY1341 ) ) ) ) @ SY1342 ) ) @ ( red @ SY1343 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1366]) ).

thf(1579,plain,
    ! [SV151: $i] :
      ( ( ! [SY1344: $i,SY1345: $i,SY1346: $i,SY1347: $i,SY1348: $i,SY1349: $i,SY1350: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1346 ) @ SY1347 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY1348 ) ) @ SY1349 ) ) @ ( transi2024712006on_val @ ( red @ SY1350 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY1346 @ SV151 @ SY1344 @ SY1345 ) ) @ SY1347 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY1348 ) ) @ SY1349 ) ) @ ( transi2024712006on_val @ ( red @ SY1350 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1367]) ).

thf(1580,plain,
    ! [SV152: $i] :
      ( ( ! [SY1351: $i,SY1352: $i,SY1353: $i,SY1354: $i,SY1355: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1351 ) @ SY1352 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1353 ) ) @ SY1354 ) ) @ ( transi2024712006on_val @ ( red @ SY1355 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV152 @ SY1351 ) ) @ SY1352 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1353 ) ) @ SY1354 ) ) @ ( transi2024712006on_val @ ( red @ SY1355 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1368]) ).

thf(1581,plain,
    ! [SV153: $i] :
      ( ( ! [SY1356: $i,SY1357: $i,SY1358: $i,SY1359: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1356 ) @ SY1357 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ SY1358 ) ) @ ( transi2024712006on_val @ ( red @ SY1359 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV153 @ SY1356 ) ) @ SY1357 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ SY1358 ) ) @ ( transi2024712006on_val @ ( red @ SY1359 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1369]) ).

thf(1582,plain,
    ! [SV154: $i] :
      ( ( ! [SY1360: $i,SY1361: $i,SY1362: $i,SY1363: $i,SY1364: $i,SY1365: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SY1362 @ SY1363 @ SY1364 @ SY1365 @ nt ) )
            | ( hBOOL @ ( wTrt @ SY1362 @ SY1363 @ SY1364 @ ( fAcc_list_char @ SY1365 @ SV154 @ SY1360 ) @ SY1361 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1370]) ).

thf(1583,plain,
    ! [SV155: $i] :
      ( ( ! [SY1366: $i,SY1367: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV155 @ ( val_list_char @ null ) ) ) @ SY1366 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ SY1366 ) ) @ ( red @ SY1367 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1371]) ).

thf(1584,plain,
    ! [SV156: $i] :
      ( ( ! [SY1368: $i,SY1369: $i,SY1370: $i,SY1371: $i,SY1372: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SY1368 @ SY1369 @ SY1370 @ SY1371 @ SY1372 ) )
            | ~ ( hBOOL @ ( is_refT @ SY1372 ) )
            | ( hBOOL @ ( wTrt @ SY1368 @ SY1369 @ SY1370 @ ( throw_list_char @ SY1371 ) @ SV156 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1372]) ).

thf(1585,plain,
    ! [SV157: $i] :
      ( ( ! [SY1373: $i,SY1374: $i,SY1375: $i,SY1376: $i,SY1377: $i,SY1378: $i,SY1379: $i,SY1380: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1376 ) @ SY1377 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY1378 ) ) @ SY1379 ) ) @ ( transi2024712006on_val @ ( red @ SY1380 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1373 ) @ SY1379 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1374 ) ) @ SY1375 ) ) @ ( transi2024712006on_val @ ( red @ SY1380 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY1376 @ SV157 @ SY1373 ) ) @ SY1377 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1374 ) ) @ SY1375 ) ) @ ( transi2024712006on_val @ ( red @ SY1380 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1374]) ).

thf(1586,plain,
    ! [SV158: $i] :
      ( ( ! [SY1381: $i,SY1382: $i,SY1383: $i,SY1384: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV158 ) @ SY1381 @ ( throw_list_char @ SY1382 ) ) ) @ SY1383 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1382 ) ) @ SY1383 ) ) @ ( red @ SY1384 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1375]) ).

thf(1587,plain,
    ! [SV159: $i] :
      ( ( ! [SY1385: $i,SY1386: $i,SY1387: $i,SY1388: $i,SY1389: $i,SY1390: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1386 ) @ SY1387 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1388 ) @ SY1389 ) ) @ ( transi2024712006on_val @ ( red @ SY1390 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV159 ) @ SY1385 @ SY1386 ) ) @ SY1387 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV159 ) @ SY1385 @ SY1388 ) ) @ SY1389 ) ) @ ( transi2024712006on_val @ ( red @ SY1390 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1376]) ).

thf(1588,plain,
    ! [SV160: $i] :
      ( ( ! [SY1391: $i,SY1392: $i,SY1393: $i,SY1394: $i,SY1395: $i,SY1396: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1392 ) @ SY1393 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1394 ) ) @ SY1395 ) ) @ ( transi2024712006on_val @ ( red @ SY1396 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY1392 @ SV160 @ SY1391 ) ) @ SY1393 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1394 ) ) @ SY1395 ) ) @ ( transi2024712006on_val @ ( red @ SY1396 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1377]) ).

thf(1589,plain,
    ! [SV161: $i] :
      ( ( ( null
         != ( bool @ SV161 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1378]) ).

thf(1590,plain,
    ! [SV162: $i] :
      ( ( ( ( bool @ SV162 )
         != null ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1379]) ).

thf(1591,plain,
    ! [SV163: $i] :
      ( ( ( unit
         != ( bool @ SV163 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1380]) ).

thf(1592,plain,
    ! [SV164: $i] :
      ( ( ( ( bool @ SV164 )
         != unit ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1381]) ).

thf(1593,plain,
    ! [SV165: $i] :
      ( ( ! [SY1397: $i] :
            ( ( addr @ SV165 )
           != ( bool @ SY1397 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1382]) ).

thf(1594,plain,
    ! [SV166: $i] :
      ( ( ! [SY1398: $i] :
            ( ( bool @ SV166 )
           != ( addr @ SY1398 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1383]) ).

thf(1595,plain,
    ! [SV167: $i] :
      ( ( ~ ( is_bool @ SV167 )
        | ( SV167 = fTrue )
        | ( SV167 = fFalse ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1384]) ).

thf(1596,plain,
    ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1385]) ).

thf(1597,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_A @ SX0 ) ) @ ( sK15_SY856 @ SX0 ) ) ) ) )
      | ~ ! [SX0: $i] :
            ( ! [SX1: $i,SX2: $i] :
                ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) )
            | ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( sK13_X1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1386]) ).

thf(1598,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( ( hAPP_val_option_val @ some_val @ SX0 )
             != ( hAPP_val_option_val @ some_val @ SX1 ) )
            | ( SX0 = SX1 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( ( hAPP_val_option_val @ some_val @ SX0 )
              = ( hAPP_val_option_val @ some_val @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1387]) ).

thf(1599,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( member_nat @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ SX1 @ SX0 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( member_nat @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1388]) ).

thf(1600,plain,
    ! [SV168: $i] :
      ( ( ~ ( ~ ! [SY1399: $i,SY1400: $i] :
                  ( ( ( fun_up204312361on_val @ SV168 @ SY1399 @ SY1400 )
                   != SV168 )
                  | ( ( hAPP_P2094403585on_val @ SV168 @ SY1399 )
                    = SY1400 ) )
            | ~ ! [SY1401: $i,SY1402: $i] :
                  ( ( ( hAPP_P2094403585on_val @ SV168 @ SY1401 )
                   != SY1402 )
                  | ( ( fun_up204312361on_val @ SV168 @ SY1401 @ SY1402 )
                    = SV168 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1389]) ).

thf(1601,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( member773094996on_val @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1390]) ).

thf(1602,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SX1 @ SX0 ) ) @ ( sK29_SY863 @ SX1 @ SX0 ) ) @ SX1 ) )
                    | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SX1 @ SX0 ) ) @ ( sK29_SY863 @ SX1 @ SX0 ) ) @ SX0 ) ) )
                | ~ ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SX1 @ SX0 ) ) @ ( sK29_SY863 @ SX1 @ SX0 ) ) @ SX1 ) )
                    | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SX1 @ SX0 ) ) @ ( sK29_SY863 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
            | ( SX1 = SX0 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 != SX0 )
            | ~ ( ~ ! [SX2: $i,SX3: $i] :
                      ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX1 ) )
                      | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
                | ~ ! [SX2: $i,SX3: $i] :
                      ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX0 ) )
                      | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1391]) ).

thf(1603,plain,
    ! [SV169: $i] :
      ( ( ! [SY1403: $i,SY1404: $i,SY1405: $i] :
            ( ! [SY1406: $i] :
                ~ ( hBOOL @ ( wTrt @ SV169 @ SY1403 @ SY1404 @ ( throw_list_char @ SY1405 ) @ SY1406 ) )
            | ~ ( ~ ( hBOOL @ ( wTrt @ SV169 @ SY1403 @ SY1404 @ SY1405 @ ( sK1_T_r @ SY1405 @ SY1404 @ SY1403 @ SV169 ) ) )
                | ~ ( hBOOL @ ( is_refT @ ( sK1_T_r @ SY1405 @ SY1404 @ SY1403 @ SV169 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1392]) ).

thf(1604,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ! [SX2: $i,SX3: $i] :
                ( SX1
               != ( seq_list_char @ ( lAss_list_char @ SX0 @ ( val_list_char @ SX2 ) ) @ SX3 ) )
            | ( hBOOL @ ( assigned @ SX0 @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( assigned @ SX0 @ SX1 ) )
            | ( SX1
              = ( seq_list_char @ ( lAss_list_char @ SX0 @ ( val_list_char @ ( sK2_V_3 @ SX1 @ SX0 ) ) ) @ ( sK3_SY853 @ SX1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1393]) ).

thf(1605,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( hBOOL @ SX0 )
                  | ~ ( hBOOL @ SX1 )
                  | ( ( bool @ SX0 )
                    = ( bool @ SX1 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ( hBOOL @ SX0 )
                  | ( hBOOL @ SX1 )
                  | ( ( bool @ SX0 )
                    = ( bool @ SX1 ) ) ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ( ( bool @ SX0 )
                   != ( bool @ SX1 ) )
                  | ~ ( hBOOL @ SX0 )
                  | ( hBOOL @ SX1 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ( ( bool @ SX0 )
                   != ( bool @ SX1 ) )
                  | ~ ( hBOOL @ SX1 )
                  | ( hBOOL @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1394]) ).

thf(1606,plain,
    ! [SV170: $i] :
      ( ( ! [SY1407: $i] :
            ~ ( ~ ! [SY1408: $i,SY1409: $i] :
                    ( ( SY1408 != SY1409 )
                    | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV170 @ SY1409 @ SY1407 ) @ SY1408 )
                      = SY1407 ) )
              | ~ ! [SY1410: $i,SY1411: $i] :
                    ( ( SY1410 = SY1411 )
                    | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV170 @ SY1411 @ SY1407 ) @ SY1410 )
                      = ( hAPP_l207779698on_val @ SV170 @ SY1410 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1395]) ).

thf(1607,plain,
    ! [SV171: $i] :
      ( ( ! [SY1412: $i] :
            ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa807100911_sconf @ p @ SY1412 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) )
            | ~ ( hBOOL @ ( wTrt @ p @ ha @ SY1412 @ ea @ SV171 ) )
            | ~ ( ~ ( hBOOL @ ( wTrt @ p @ h_a @ SY1412 @ e_a @ ( sK6_T_3 @ SY1412 @ SV171 ) ) )
                | ~ ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK6_T_3 @ SY1412 @ SV171 ) @ SV171 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1396]) ).

thf(1608,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( sK54_X1 @ SX0 ) ) )
            | ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK52_A @ SX0 ) ) @ ( sK53_SY880 @ SX0 ) ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1397]) ).

thf(1609,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( member763590124on_val @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P159683425l_bool @ SX1 @ SX0 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( member763590124on_val @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1398]) ).

thf(1610,plain,
    ! [SV172: $i] :
      ( ( ! [SY1413: $i] :
            ~ ( ~ ! [SY1414: $i] :
                    ( ! [SY1415: $i] :
                        ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV172 ) @ SY1413 )
                       != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1414 ) @ SY1415 ) )
                    | ( SV172 = SY1414 ) )
              | ~ ! [SY1416: $i,SY1417: $i] :
                    ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV172 ) @ SY1413 )
                     != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1416 ) @ SY1417 ) )
                    | ( SY1413 = SY1417 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1399]) ).

thf(1611,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( member1251428284t_char @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P449474095r_bool @ SX1 @ SX0 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_P449474095r_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( member1251428284t_char @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1400]) ).

thf(1612,plain,
    ! [SV173: $i] :
      ( ( ! [SY1418: $i] :
            ~ ( ~ ! [SY1419: $i,SY1420: $i] :
                    ( ( SV173 != SY1419 )
                    | ( SY1418 != SY1420 )
                    | ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SY1418 )
                      = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1419 ) @ SY1420 ) ) )
              | ~ ~ ( ~ ! [SY1421: $i] :
                          ( ! [SY1422: $i] :
                              ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SY1418 )
                             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1421 ) @ SY1422 ) )
                          | ( SV173 = SY1421 ) )
                    | ~ ! [SY1423: $i,SY1424: $i] :
                          ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SY1418 )
                           != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1423 ) @ SY1424 ) )
                          | ( SY1418 = SY1424 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1401]) ).

thf(1613,plain,
    ! [SV174: $i] :
      ( ( ! [SY1425: $i] :
            ~ ( ~ ! [SY1426: $i,SY1427: $i] :
                    ( ( SY1427 != SY1426 )
                    | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV174 @ SY1426 @ SY1425 ) @ SY1427 )
                      = SY1425 ) )
              | ~ ! [SY1428: $i,SY1429: $i] :
                    ( ( SY1429 = SY1428 )
                    | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV174 @ SY1428 @ SY1425 ) @ SY1429 )
                      = ( hAPP_l207779698on_val @ SV174 @ SY1429 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1402]) ).

thf(1614,plain,
    ! [SV175: $i] :
      ( ( ! [SY1430: $i] :
            ~ ( ~ ! [SY1431: $i] :
                    ( ! [SY1432: $i] :
                        ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV175 ) @ SY1430 )
                       != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1431 ) @ SY1432 ) )
                    | ( SV175 = SY1431 ) )
              | ~ ! [SY1433: $i,SY1434: $i] :
                    ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV175 ) @ SY1430 )
                     != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1433 ) @ SY1434 ) )
                    | ( SY1430 = SY1434 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1403]) ).

thf(1615,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( member649088532al_val @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P929938951l_bool @ SX1 @ SX0 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_P929938951l_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( member649088532al_val @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1404]) ).

thf(1616,plain,
    ! [SV176: $i] :
      ( ( ! [SY1435: $i,SY1436: $i,SY1437: $i] :
            ~ ( ~ ! [SY1438: $i,SY1439: $i] :
                    ( ( SV176 != SY1437 )
                    | ( SY1435 != SY1438 )
                    | ( SY1436 != SY1439 )
                    | ( ( block_list_char @ SV176 @ SY1435 @ SY1436 )
                      = ( block_list_char @ SY1437 @ SY1438 @ SY1439 ) ) )
              | ~ ~ ( ~ ~ ( ~ ( ! [SY1440: $i,SY1441: $i] :
                                  ( ( block_list_char @ SV176 @ SY1435 @ SY1436 )
                                 != ( block_list_char @ SY1437 @ SY1440 @ SY1441 ) )
                              | ( SV176 = SY1437 ) )
                          | ~ ! [SY1442: $i] :
                                ( ! [SY1443: $i] :
                                    ( ( block_list_char @ SV176 @ SY1435 @ SY1436 )
                                   != ( block_list_char @ SY1437 @ SY1442 @ SY1443 ) )
                                | ( SY1435 = SY1442 ) ) )
                    | ~ ! [SY1444: $i,SY1445: $i] :
                          ( ( ( block_list_char @ SV176 @ SY1435 @ SY1436 )
                           != ( block_list_char @ SY1437 @ SY1444 @ SY1445 ) )
                          | ( SY1436 = SY1445 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1405]) ).

thf(1617,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( member_list_char @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_list_char_bool @ SX1 @ SX0 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( member_list_char @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1406]) ).

thf(1618,plain,
    ! [SV177: $i] :
      ( ( ! [SY1446: $i] :
            ~ ( ~ ! [SY1447: $i,SY1448: $i] :
                    ( ( SV177 != SY1447 )
                    | ( SY1446 != SY1448 )
                    | ( ( seq_list_char @ SV177 @ SY1446 )
                      = ( seq_list_char @ SY1447 @ SY1448 ) ) )
              | ~ ~ ( ~ ! [SY1449: $i] :
                          ( ! [SY1450: $i] :
                              ( ( seq_list_char @ SV177 @ SY1446 )
                             != ( seq_list_char @ SY1449 @ SY1450 ) )
                          | ( SV177 = SY1449 ) )
                    | ~ ! [SY1451: $i,SY1452: $i] :
                          ( ( ( seq_list_char @ SV177 @ SY1446 )
                           != ( seq_list_char @ SY1451 @ SY1452 ) )
                          | ( SY1446 = SY1452 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1407]) ).

thf(1619,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK11_A @ SX0 ) ) @ ( sK12_SY855 @ SX0 ) ) ) ) )
      | ~ ! [SX0: $i] :
            ( ! [SX1: $i,SX2: $i] :
                ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) )
            | ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK10_X1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1408]) ).

thf(1620,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SX1 @ SX0 ) ) @ ( sK31_SY864 @ SX1 @ SX0 ) ) @ SX1 ) )
                    | ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SX1 @ SX0 ) ) @ ( sK31_SY864 @ SX1 @ SX0 ) ) @ SX0 ) ) )
                | ~ ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SX1 @ SX0 ) ) @ ( sK31_SY864 @ SX1 @ SX0 ) ) @ SX1 ) )
                    | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SX1 @ SX0 ) ) @ ( sK31_SY864 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
            | ( SX1 = SX0 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 != SX0 )
            | ~ ( ~ ! [SX2: $i,SX3: $i] :
                      ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX1 ) )
                      | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
                | ~ ! [SX2: $i,SX3: $i] :
                      ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX0 ) )
                      | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1409]) ).

thf(1621,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK51_X1 @ SX0 ) ) )
            | ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK49_A @ SX0 ) ) @ ( sK50_SY879 @ SX0 ) ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1410]) ).

thf(1622,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( member1542417277on_val @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P1235399154l_bool @ SX1 @ SX0 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_P1235399154l_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( member1542417277on_val @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1411]) ).

thf(1623,plain,
    ! [SV178: $i] :
      ( ( ! [SY1453: $i,SY1454: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ! [SY1455: $i] :
                                ( ! [SY1456: $i] :
                                    ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SY1453 @ ( hAPP_val_option_val @ some_val @ SY1454 ) ) @ SY1455 )
                                   != ( hAPP_val_option_val @ some_val @ SY1456 ) )
                                | ( SY1455 = SY1453 )
                                | ( SY1455 != SY1453 ) )
                          | ~ ! [SY1457: $i,SY1458: $i] :
                                ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SY1453 @ ( hAPP_val_option_val @ some_val @ SY1454 ) ) @ SY1457 )
                                 != ( hAPP_val_option_val @ some_val @ SY1458 ) )
                                | ( SY1457 = SY1453 )
                                | ( ( hAPP_P2094403585on_val @ SV178 @ SY1457 )
                                  = ( hAPP_val_option_val @ some_val @ SY1458 ) ) ) )
                    | ~ ~ ( ~ ! [SY1459: $i,SY1460: $i] :
                                ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SY1453 @ ( hAPP_val_option_val @ some_val @ SY1454 ) ) @ SY1459 )
                                 != ( hAPP_val_option_val @ some_val @ SY1460 ) )
                                | ( SY1454 = SY1460 )
                                | ( SY1459 != SY1453 ) )
                          | ~ ! [SY1461: $i,SY1462: $i] :
                                ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SY1453 @ ( hAPP_val_option_val @ some_val @ SY1454 ) ) @ SY1461 )
                                 != ( hAPP_val_option_val @ some_val @ SY1462 ) )
                                | ( SY1454 = SY1462 )
                                | ( ( hAPP_P2094403585on_val @ SV178 @ SY1461 )
                                  = ( hAPP_val_option_val @ some_val @ SY1462 ) ) ) ) )
              | ~ ~ ( ~ ! [SY1463: $i,SY1464: $i] :
                          ( ( SY1463 != SY1453 )
                          | ( SY1454 != SY1464 )
                          | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SY1453 @ ( hAPP_val_option_val @ some_val @ SY1454 ) ) @ SY1463 )
                            = ( hAPP_val_option_val @ some_val @ SY1464 ) ) )
                    | ~ ! [SY1465: $i,SY1466: $i] :
                          ( ( SY1465 = SY1453 )
                          | ( ( hAPP_P2094403585on_val @ SV178 @ SY1465 )
                           != ( hAPP_val_option_val @ some_val @ SY1466 ) )
                          | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SY1453 @ ( hAPP_val_option_val @ some_val @ SY1454 ) ) @ SY1465 )
                            = ( hAPP_val_option_val @ some_val @ SY1466 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1412]) ).

thf(1624,plain,
    ! [SV179: $i] :
      ( ( ! [SY1467: $i] :
            ~ ( ~ ! [SY1468: $i,SY1469: $i] :
                    ( ( SV179 != SY1468 )
                    | ( SY1467 != SY1469 )
                    | ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SY1467 )
                      = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1468 ) @ SY1469 ) ) )
              | ~ ~ ( ~ ! [SY1470: $i] :
                          ( ! [SY1471: $i] :
                              ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SY1467 )
                             != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1470 ) @ SY1471 ) )
                          | ( SV179 = SY1470 ) )
                    | ~ ! [SY1472: $i,SY1473: $i] :
                          ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SY1467 )
                           != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1472 ) @ SY1473 ) )
                          | ( SY1467 = SY1473 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1413]) ).

thf(1625,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK8_A @ SX0 ) ) @ ( sK9_SY854 @ SX0 ) ) ) ) )
      | ~ ! [SX0: $i] :
            ( ! [SX1: $i,SX2: $i] :
                ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) )
            | ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( sK7_X1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1414]) ).

thf(1626,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( sK48_X1 @ SX0 ) ) )
            | ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) ) )
      | ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK46_A @ SX0 ) ) @ ( sK47_SY878 @ SX0 ) ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1415]) ).

thf(1627,plain,
    ! [SV180: $i] :
      ( ( ! [SY1474: $i] :
            ~ ( ~ ! [SY1475: $i,SY1476: $i] :
                    ( ( SY1475 != SY1476 )
                    | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV180 @ SY1476 @ SY1474 ) @ SY1475 )
                      = SY1474 ) )
              | ~ ! [SY1477: $i,SY1478: $i] :
                    ( ( SY1477 = SY1478 )
                    | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV180 @ SY1478 @ SY1474 ) @ SY1477 )
                      = ( hAPP_P2094403585on_val @ SV180 @ SY1477 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1416]) ).

thf(1628,plain,
    ! [SV181: $i] :
      ( ( ~ ( ~ ! [SY1479: $i,SY1480: $i] :
                  ( ~ ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV181 @ SY1479 ) @ SY1480 ) )
                  | ( hBOOL @ ( d_list_char @ SY1479 @ SY1480 ) ) )
            | ~ ! [SY1481: $i,SY1482: $i] :
                  ( ~ ( hBOOL @ ( d_list_char @ SY1481 @ SY1482 ) )
                  | ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV181 @ SY1481 ) @ SY1482 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1417]) ).

thf(1629,plain,
    ! [SV182: $i] :
      ( ( ! [SY1483: $i] :
            ~ ( ~ ! [SY1484: $i] :
                    ( ! [SY1485: $i] :
                        ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV182 ) @ SY1483 )
                       != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1484 ) @ SY1485 ) )
                    | ( SV182 = SY1484 ) )
              | ~ ! [SY1486: $i,SY1487: $i] :
                    ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV182 ) @ SY1483 )
                     != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1486 ) @ SY1487 ) )
                    | ( SY1483 = SY1487 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1418]) ).

thf(1630,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( member840932460on_val @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P1708370145l_bool @ SX1 @ SX0 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( member840932460on_val @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1419]) ).

thf(1631,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SX1 @ SX0 ) ) @ ( sK33_SY865 @ SX1 @ SX0 ) ) @ SX1 ) )
                    | ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SX1 @ SX0 ) ) @ ( sK33_SY865 @ SX1 @ SX0 ) ) @ SX0 ) ) )
                | ~ ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SX1 @ SX0 ) ) @ ( sK33_SY865 @ SX1 @ SX0 ) ) @ SX1 ) )
                    | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SX1 @ SX0 ) ) @ ( sK33_SY865 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
            | ( SX1 = SX0 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 != SX0 )
            | ~ ( ~ ! [SX2: $i,SX3: $i] :
                      ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX1 ) )
                      | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
                | ~ ! [SX2: $i,SX3: $i] :
                      ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX0 ) )
                      | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1420]) ).

thf(1632,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( ( val_list_char @ SX0 )
             != ( val_list_char @ SX1 ) )
            | ( SX0 = SX1 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( ( val_list_char @ SX0 )
              = ( val_list_char @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1421]) ).

thf(1633,plain,
    ! [SV183: $i] :
      ( ( ! [SY1488: $i] :
            ~ ( ~ ! [SY1489: $i,SY1490: $i] :
                    ( ( SV183 != SY1489 )
                    | ( SY1488 != SY1490 )
                    | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SY1488 )
                      = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1489 ) @ SY1490 ) ) )
              | ~ ~ ( ~ ! [SY1491: $i] :
                          ( ! [SY1492: $i] :
                              ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SY1488 )
                             != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1491 ) @ SY1492 ) )
                          | ( SV183 = SY1491 ) )
                    | ~ ! [SY1493: $i,SY1494: $i] :
                          ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SY1488 )
                           != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1493 ) @ SY1494 ) )
                          | ( SY1488 = SY1494 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1422]) ).

thf(1634,plain,
    ! [SV184: $i] :
      ( ( ~ ( ~ ! [SY1495: $i,SY1496: $i] :
                  ( ( ( fun_up1149430426on_val @ SV184 @ SY1495 @ SY1496 )
                   != SV184 )
                  | ( ( hAPP_l207779698on_val @ SV184 @ SY1495 )
                    = SY1496 ) )
            | ~ ! [SY1497: $i,SY1498: $i] :
                  ( ( ( hAPP_l207779698on_val @ SV184 @ SY1497 )
                   != SY1498 )
                  | ( ( fun_up1149430426on_val @ SV184 @ SY1497 @ SY1498 )
                    = SV184 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1423]) ).

thf(1635,plain,
    ! [SV185: $i] :
      ( ( ! [SY1499: $i] :
            ~ ( ~ ! [SY1500: $i,SY1501: $i] :
                    ( ( SY1501 != SY1500 )
                    | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV185 @ SY1500 @ SY1499 ) @ SY1501 )
                      = SY1499 ) )
              | ~ ! [SY1502: $i,SY1503: $i] :
                    ( ( SY1503 = SY1502 )
                    | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV185 @ SY1502 @ SY1499 ) @ SY1503 )
                      = ( hAPP_P2094403585on_val @ SV185 @ SY1503 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1424]) ).

thf(1636,plain,
    ! [SV186: $i] :
      ( ( ! [SY1504: $i] :
            ~ ( ~ ! [SY1505: $i,SY1506: $i] :
                    ( ( SV186 != SY1505 )
                    | ( SY1504 != SY1506 )
                    | ( ( lAss_list_char @ SV186 @ SY1504 )
                      = ( lAss_list_char @ SY1505 @ SY1506 ) ) )
              | ~ ~ ( ~ ! [SY1507: $i] :
                          ( ! [SY1508: $i] :
                              ( ( lAss_list_char @ SV186 @ SY1504 )
                             != ( lAss_list_char @ SY1507 @ SY1508 ) )
                          | ( SV186 = SY1507 ) )
                    | ~ ! [SY1509: $i,SY1510: $i] :
                          ( ( ( lAss_list_char @ SV186 @ SY1504 )
                           != ( lAss_list_char @ SY1509 @ SY1510 ) )
                          | ( SY1504 = SY1510 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1425]) ).

thf(1637,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( member1417904245al_val @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P943837928l_bool @ SX1 @ SX0 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_P943837928l_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( member1417904245al_val @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1426]) ).

thf(1638,plain,
    ! [SV187: $i] :
      ( ( ! [SY1511: $i,SY1512: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ! [SY1513: $i] :
                                ( ! [SY1514: $i] :
                                    ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SY1511 @ ( hAPP_val_option_val @ some_val @ SY1512 ) ) @ SY1513 )
                                   != ( hAPP_val_option_val @ some_val @ SY1514 ) )
                                | ( SY1513 = SY1511 )
                                | ( SY1513 != SY1511 ) )
                          | ~ ! [SY1515: $i,SY1516: $i] :
                                ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SY1511 @ ( hAPP_val_option_val @ some_val @ SY1512 ) ) @ SY1515 )
                                 != ( hAPP_val_option_val @ some_val @ SY1516 ) )
                                | ( SY1515 = SY1511 )
                                | ( ( hAPP_l207779698on_val @ SV187 @ SY1515 )
                                  = ( hAPP_val_option_val @ some_val @ SY1516 ) ) ) )
                    | ~ ~ ( ~ ! [SY1517: $i,SY1518: $i] :
                                ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SY1511 @ ( hAPP_val_option_val @ some_val @ SY1512 ) ) @ SY1517 )
                                 != ( hAPP_val_option_val @ some_val @ SY1518 ) )
                                | ( SY1512 = SY1518 )
                                | ( SY1517 != SY1511 ) )
                          | ~ ! [SY1519: $i,SY1520: $i] :
                                ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SY1511 @ ( hAPP_val_option_val @ some_val @ SY1512 ) ) @ SY1519 )
                                 != ( hAPP_val_option_val @ some_val @ SY1520 ) )
                                | ( SY1512 = SY1520 )
                                | ( ( hAPP_l207779698on_val @ SV187 @ SY1519 )
                                  = ( hAPP_val_option_val @ some_val @ SY1520 ) ) ) ) )
              | ~ ~ ( ~ ! [SY1521: $i,SY1522: $i] :
                          ( ( SY1521 != SY1511 )
                          | ( SY1512 != SY1522 )
                          | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SY1511 @ ( hAPP_val_option_val @ some_val @ SY1512 ) ) @ SY1521 )
                            = ( hAPP_val_option_val @ some_val @ SY1522 ) ) )
                    | ~ ! [SY1523: $i,SY1524: $i] :
                          ( ( SY1523 = SY1511 )
                          | ( ( hAPP_l207779698on_val @ SV187 @ SY1523 )
                           != ( hAPP_val_option_val @ some_val @ SY1524 ) )
                          | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SY1511 @ ( hAPP_val_option_val @ some_val @ SY1512 ) ) @ SY1523 )
                            = ( hAPP_val_option_val @ some_val @ SY1524 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1427]) ).

thf(1639,plain,
    ! [SV188: $i,SV1: $i] :
      ( ( is_bool @ ( member773094996on_val @ SV1 @ SV188 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1428]) ).

thf(1640,plain,
    ! [SV189: $i,SV2: $i] :
      ( ( ( fun_up1149430426on_val @ SV2 @ SV189 @ ( hAPP_l207779698on_val @ SV2 @ SV189 ) )
        = SV2 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1429]) ).

thf(1641,plain,
    ! [SV190: $i,SV3: $i] :
      ( ( ! [SY1525: $i] :
            ( ( ( hAPP_l207779698on_val @ SV3 @ SV190 )
             != ( hAPP_val_option_val @ some_val @ SY1525 ) )
            | ( ( fun_up1149430426on_val @ SV3 @ SV190 @ ( hAPP_val_option_val @ some_val @ SY1525 ) )
              = SV3 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1430]) ).

thf(1642,plain,
    ! [SV191: $i,SV4: $i] :
      ( ( ! [SY1526: $i] :
            ( ( ( hAPP_P2094403585on_val @ SV4 @ SV191 )
             != ( hAPP_val_option_val @ some_val @ SY1526 ) )
            | ( ( fun_up204312361on_val @ SV4 @ SV191 @ ( hAPP_val_option_val @ some_val @ SY1526 ) )
              = SV4 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1431]) ).

thf(1643,plain,
    ! [SV192: $i,SV5: $i] :
      ( ( ! [SY1527: $i,SY1528: $i,SY1529: $i] :
            ( ( ( fun_up1149430426on_val @ SV5 @ SV192 @ ( hAPP_val_option_val @ some_val @ SY1527 ) )
             != ( fun_up1149430426on_val @ SY1528 @ SV192 @ ( hAPP_val_option_val @ some_val @ SY1529 ) ) )
            | ( SY1527 = SY1529 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1432]) ).

thf(1644,plain,
    ! [SV193: $i,SV6: $i] :
      ( ( ! [SY1530: $i,SY1531: $i,SY1532: $i] :
            ( ( ( fun_up204312361on_val @ SV6 @ SV193 @ ( hAPP_val_option_val @ some_val @ SY1530 ) )
             != ( fun_up204312361on_val @ SY1531 @ SV193 @ ( hAPP_val_option_val @ some_val @ SY1532 ) ) )
            | ( SY1530 = SY1532 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1433]) ).

thf(1645,plain,
    ! [SV7: $i,SV194: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV194 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK59_A @ SV194 @ SV7 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK60_SY887 @ SV194 @ SV7 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK61_SY890 @ SV194 @ SV7 ) ) @ ( sK62_SY892 @ SV194 @ SV7 ) ) ) ) ) )
        | ( hBOOL @ ( hAPP_P282169671l_bool @ SV194 @ SV7 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1434]) ).

thf(1646,plain,
    ! [SV195: $i,SV9: $i] :
      ( ( ! [SY1533: $i] :
            ( ( ( hAPP_l207779698on_val @ SV9 @ SV195 )
             != SY1533 )
            | ( ( fun_up1149430426on_val @ SV9 @ SV195 @ SY1533 )
              = SV9 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1436]) ).

thf(1647,plain,
    ! [SV196: $i,SV10: $i] :
      ( ( ! [SY1534: $i,SY1535: $i] :
            ( ( SY1534 = SY1535 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV10 @ SY1535 @ SV196 ) @ SY1534 )
              = ( hAPP_l207779698on_val @ SV10 @ SY1534 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1437]) ).

thf(1648,plain,
    ! [SV197: $i,SV11: $i] :
      ( ( ! [SY1536: $i,SY1537: $i,SY1538: $i] :
            ( ( SY1537 = SY1538 )
            | ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SY1537 @ SV197 ) @ SY1538 @ SY1536 )
              = ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SY1538 @ SY1536 ) @ SY1537 @ SV197 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1438]) ).

thf(1649,plain,
    ! [SV198: $i,SV12: $i] :
      ( ( ! [SY1539: $i] :
            ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV12 @ SV198 @ SY1539 ) @ SV198 )
            = SY1539 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1439]) ).

thf(1650,plain,
    ! [SV199: $i,SV13: $i] :
      ( ( ! [SY1540: $i,SY1541: $i] :
            ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV13 @ SV199 @ SY1540 ) @ SV199 @ SY1541 )
            = ( fun_up1149430426on_val @ SV13 @ SV199 @ SY1541 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1440]) ).

thf(1651,plain,
    ! [SV200: $i,SV14: $i] :
      ( ( hBOOL @ ( widen_2090681816t_char @ SV14 @ SV200 @ SV200 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1441]) ).

thf(1652,plain,
    ! [SV17: $i,SV201: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV201 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK37_A @ SV201 @ SV17 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK38_SY869 @ SV201 @ SV17 ) ) @ ( sK39_SY871 @ SV201 @ SV17 ) ) ) ) )
        | ( hBOOL @ ( hAPP_P282169671l_bool @ SV201 @ SV17 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1444]) ).

thf(1653,plain,
    ! [SV18: $i,SV202: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV202 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK34_A @ SV202 @ SV18 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK35_SY866 @ SV202 @ SV18 ) ) @ ( sK36_SY868 @ SV202 @ SV18 ) ) ) ) )
        | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV202 @ SV18 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1445]) ).

thf(1654,plain,
    ! [SV25: $i,SV203: $i] :
      ( ( ! [SY1542: $i,SY1543: $i] :
            ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV203 @ SY1542 @ SY1543 ) )
            | ~ ( hBOOL @ ( widen_2090681816t_char @ SV203 @ SY1543 @ SV25 ) )
            | ( hBOOL @ ( widen_2090681816t_char @ SV203 @ SY1542 @ SV25 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1452]) ).

thf(1655,plain,
    ! [SV204: $i,SV26: $i] :
      ( ( ! [SY1544: $i,SY1545: $i,SY1546: $i] :
            ( ! [SY1547: $i,SY1548: $i] :
                ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV26 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV204 ) @ SY1544 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1545 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1546 ) @ SY1547 ) ) ) @ ( red @ SY1548 ) ) )
            | ( hBOOL @ ( hext @ SV204 @ SY1546 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1453]) ).

thf(1656,plain,
    ! [SV27: $i,SV205: $i] :
      ( ( ! [SY1549: $i,SY1550: $i,SY1551: $i,SY1552: $i,SY1553: $i,SY1554: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV205 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1549 ) @ SY1550 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1551 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1552 ) @ SY1553 ) ) ) @ ( red @ SY1554 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV205 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1549 ) @ ( map_ad325961431ar_val @ SV27 @ SY1550 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1551 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1552 ) @ ( map_ad325961431ar_val @ SV27 @ SY1553 ) ) ) ) @ ( red @ SY1554 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1454]) ).

thf(1657,plain,
    ! [SV206: $i,SV28: $i] :
      ( ( ! [SY1555: $i,SY1556: $i,SY1557: $i] :
            ( ~ ( hBOOL @ ( hext @ SY1556 @ SY1557 ) )
            | ~ ( hBOOL @ ( conf_P373316194t_char @ SV28 @ SY1556 @ SV206 @ SY1555 ) )
            | ( hBOOL @ ( conf_P373316194t_char @ SV28 @ SY1557 @ SV206 @ SY1555 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1455]) ).

thf(1658,plain,
    ! [SV29: $i,SV207: $i] :
      ( ( ! [SY1558: $i,SY1559: $i,SY1560: $i] :
            ( ~ ( hBOOL @ ( conf_P373316194t_char @ SV207 @ SY1558 @ SY1559 @ SY1560 ) )
            | ~ ( hBOOL @ ( widen_2090681816t_char @ SV207 @ SY1560 @ SV29 ) )
            | ( hBOOL @ ( conf_P373316194t_char @ SV207 @ SY1558 @ SY1559 @ SV29 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1456]) ).

thf(1659,plain,
    ! [SV208: $i,SV30: $i] :
      ( ( ! [SY1561: $i,SY1562: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( val_list_char @ SV30 ) @ SV208 ) ) @ SY1561 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV208 ) @ SY1561 ) ) @ ( red @ SY1562 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1457]) ).

thf(1660,plain,
    ! [SV209: $i,SV31: $i] :
      ( ( ! [SY1563: $i,SY1564: $i,SY1565: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV31 @ SV209 @ ( val_list_char @ SY1563 ) ) ) @ SY1564 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY1563 ) ) @ SY1564 ) ) @ ( red @ SY1565 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1458]) ).

thf(1661,plain,
    ! [SV32: $i,SV210: $i] :
      ( ( ! [SY1566: $i,SY1567: $i] :
            ( ( ( hAPP_P2094403585on_val @ SV210 @ SY1566 )
             != ( hAPP_val_option_val @ some_val @ SY1567 ) )
            | ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ SV32 @ SV210 ) @ SY1566 )
              = ( hAPP_val_option_val @ some_val @ SY1567 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1459]) ).

thf(1662,plain,
    ! [SV33: $i,SV211: $i] :
      ( ( ! [SY1568: $i,SY1569: $i] :
            ( ( ( hAPP_l207779698on_val @ SV211 @ SY1568 )
             != ( hAPP_val_option_val @ some_val @ SY1569 ) )
            | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV33 @ SV211 ) @ SY1568 )
              = ( hAPP_val_option_val @ some_val @ SY1569 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1460]) ).

thf(1663,plain,
    ! [SV34: $i,SV212: $i] :
      ( ( ! [SY1570: $i,SY1571: $i,SY1572: $i,SY1573: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV212 ) @ SY1570 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1571 ) @ SY1572 ) ) @ ( red @ SY1573 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV34 @ SV212 ) ) @ SY1570 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV34 @ SY1571 ) ) @ SY1572 ) ) @ ( red @ SY1573 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1461]) ).

thf(1664,plain,
    ! [SV35: $i,SV213: $i] :
      ( ( ! [SY1574: $i,SY1575: $i,SY1576: $i,SY1577: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV213 ) @ SY1574 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1575 ) @ SY1576 ) ) @ ( red @ SY1577 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV213 @ SV35 ) ) @ SY1574 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY1575 @ SV35 ) ) @ SY1576 ) ) @ ( red @ SY1577 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1462]) ).

thf(1665,plain,
    ! [SV214: $i,SV36: $i] :
      ( ( ! [SY1578: $i,SY1579: $i] :
            ( ( map_ad325961431ar_val @ SV36 @ ( fun_up1149430426on_val @ SV214 @ SY1578 @ ( hAPP_val_option_val @ some_val @ SY1579 ) ) )
            = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ SV36 @ SV214 ) @ SY1578 @ ( hAPP_val_option_val @ some_val @ SY1579 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1463]) ).

thf(1666,plain,
    ! [SV215: $i,SV37: $i] :
      ( ( ! [SY1580: $i,SY1581: $i] :
            ( ( map_ad1185064968ar_val @ SV37 @ ( fun_up204312361on_val @ SV215 @ SY1580 @ ( hAPP_val_option_val @ some_val @ SY1581 ) ) )
            = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ SV37 @ SV215 ) @ SY1580 @ ( hAPP_val_option_val @ some_val @ SY1581 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1464]) ).

thf(1667,plain,
    ! [SV216: $i,SV38: $i] :
      ( ( ! [SY1582: $i,SY1583: $i,SY1584: $i,SY1585: $i] :
            ( ! [T_1_2: $i] :
                ~ ( hBOOL @ ( wTrt @ SY1582 @ SY1583 @ SY1584 @ SY1585 @ T_1_2 ) )
            | ~ ( hBOOL @ ( wTrt @ SY1582 @ SY1583 @ SY1584 @ SV38 @ SV216 ) )
            | ( hBOOL @ ( wTrt @ SY1582 @ SY1583 @ SY1584 @ ( seq_list_char @ SY1585 @ SV38 ) @ SV216 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1465]) ).

thf(1668,plain,
    ! [SV40: $i,SV217: $i] :
      ( ( ! [SY1587: $i] :
            ( ~ ( hBOOL @ ( hext @ SV217 @ SY1587 ) )
            | ~ ( hBOOL @ ( hext @ SY1587 @ SV40 ) )
            | ( hBOOL @ ( hext @ SV217 @ SV40 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1467]) ).

thf(1669,plain,
    ! [SV41: $i,SV218: $i] :
      ( ( ! [SY1588: $i,SY1589: $i,SY1590: $i,SY1591: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV218 @ SY1588 @ SY1589 @ SY1590 @ SY1591 ) )
            | ~ ( hBOOL @ ( hext @ SY1588 @ SV41 ) )
            | ( hBOOL @ ( wTrt @ SV218 @ SV41 @ SY1589 @ SY1590 @ SY1591 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1468]) ).

thf(1670,plain,
    ! [SV219: $i,SV42: $i] :
      ( ( hBOOL @ ( d_list_char @ ( val_list_char @ SV42 ) @ SV219 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1469]) ).

thf(1671,plain,
    ! [SV43: $i,SV220: $i] :
      ( ( ! [SY1592: $i,SY1593: $i,SY1594: $i,SY1595: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV220 ) @ SY1592 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1593 ) @ SY1594 ) ) @ ( transi2024712006on_val @ ( red @ SY1595 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV220 @ SV43 ) ) @ SY1592 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY1593 @ SV43 ) ) @ SY1594 ) ) @ ( transi2024712006on_val @ ( red @ SY1595 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1470]) ).

thf(1672,plain,
    ! [SV44: $i,SV221: $i] :
      ( ( ! [SY1596: $i,SY1597: $i,SY1598: $i,SY1599: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV221 ) @ SY1596 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1597 ) @ SY1598 ) ) @ ( transi2024712006on_val @ ( red @ SY1599 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV44 @ SV221 ) ) @ SY1596 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV44 @ SY1597 ) ) @ SY1598 ) ) @ ( transi2024712006on_val @ ( red @ SY1599 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1471]) ).

thf(1673,plain,
    ! [SV45: $i,SV222: $i] :
      ( ( ! [SY1600: $i,SY1601: $i,SY1602: $i,SY1603: $i,SY1604: $i,SY1605: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV222 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1600 ) @ SY1601 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1602 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1603 ) @ SY1604 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1605 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV222 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1600 ) @ ( map_ad325961431ar_val @ SV45 @ SY1601 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1602 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1603 ) @ ( map_ad325961431ar_val @ SV45 @ SY1604 ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY1605 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1472]) ).

thf(1674,plain,
    ! [SV223: $i,SV46: $i] :
      ( ( ! [SY1606: $i,SY1607: $i,SY1608: $i,SY1609: $i,SY1610: $i,SY1611: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1607 ) @ SY1608 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1609 ) @ SY1610 ) ) @ ( red @ SY1611 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY1607 @ SV46 @ SV223 @ SY1606 ) ) @ SY1608 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY1609 @ SV46 @ SV223 @ SY1606 ) ) @ SY1610 ) ) @ ( red @ SY1611 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1473]) ).

thf(1675,plain,
    ! [SV224: $i,SV47: $i] :
      ( ( ! [SY1612: $i,SY1613: $i,SY1614: $i,SY1615: $i,SY1616: $i,SY1617: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1613 ) @ SY1614 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1615 ) @ SY1616 ) ) @ ( red @ SY1617 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV47 ) @ SV224 @ SY1612 @ SY1613 ) ) @ SY1614 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV47 ) @ SV224 @ SY1612 @ SY1615 ) ) @ SY1616 ) ) @ ( red @ SY1617 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1474]) ).

thf(1676,plain,
    ! [SV225: $i,SV48: $i] :
      ( ( ! [SY1618: $i,SY1619: $i,SY1620: $i,SY1621: $i,SY1622: $i,SY1623: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1619 ) @ SY1620 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1621 ) @ SY1622 ) ) @ ( transi2024712006on_val @ ( red @ SY1623 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY1619 @ SV48 @ SV225 @ SY1618 ) ) @ SY1620 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY1621 @ SV48 @ SV225 @ SY1618 ) ) @ SY1622 ) ) @ ( transi2024712006on_val @ ( red @ SY1623 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1475]) ).

thf(1677,plain,
    ! [SV226: $i,SV49: $i] :
      ( ( ! [SY1624: $i,SY1625: $i,SY1626: $i,SY1627: $i,SY1628: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1624 ) @ SY1625 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1626 ) @ SY1627 ) ) @ ( red @ SY1628 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY1624 @ SV49 @ SV226 ) ) @ SY1625 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY1626 @ SV49 @ SV226 ) ) @ SY1627 ) ) @ ( red @ SY1628 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1476]) ).

thf(1678,plain,
    ! [SV227: $i,SV50: $i] :
      ( ( ! [SY1629: $i,SY1630: $i,SY1631: $i,SY1632: $i,SY1633: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1629 ) @ SY1630 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1631 ) @ SY1632 ) ) @ ( transi2024712006on_val @ ( red @ SY1633 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY1629 @ SV50 @ SV227 ) ) @ SY1630 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY1631 @ SV50 @ SV227 ) ) @ SY1632 ) ) @ ( transi2024712006on_val @ ( red @ SY1633 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1477]) ).

thf(1679,plain,
    ! [SV228: $i,SV51: $i] :
      ( ( ! [SY1634: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( throw_list_char @ SV51 ) ) ) @ SV228 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV51 ) ) @ SV228 ) ) @ ( red @ SY1634 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1478]) ).

thf(1680,plain,
    ! [SV229: $i,SV52: $i] :
      ( ( ! [SY1635: $i,SY1636: $i,SY1637: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV52 ) @ SV229 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1635 ) @ SY1636 ) ) @ ( red @ SY1637 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV52 ) ) @ SV229 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1635 ) ) @ SY1636 ) ) @ ( red @ SY1637 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1479]) ).

thf(1681,plain,
    ! [SV230: $i,SV53: $i] :
      ( ( ! [SY1638: $i,SY1639: $i,SY1640: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV53 ) @ SV230 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1638 ) @ SY1639 ) ) @ ( transi2024712006on_val @ ( red @ SY1640 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV53 ) ) @ SV230 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1638 ) ) @ SY1639 ) ) @ ( transi2024712006on_val @ ( red @ SY1640 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1480]) ).

thf(1682,plain,
    ! [SV231: $i,SV54: $i] :
      ( ( ! [SY1641: $i,SY1642: $i,SY1643: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV54 ) @ SV231 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1641 ) ) @ SY1642 ) ) @ ( transi2024712006on_val @ ( red @ SY1643 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV54 ) ) @ SV231 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1641 ) ) @ SY1642 ) ) @ ( transi2024712006on_val @ ( red @ SY1643 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1481]) ).

thf(1683,plain,
    ! [SV232: $i,SV55: $i] :
      ( ( ! [SY1644: $i,SY1645: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV55 @ ( throw_list_char @ SV232 ) ) ) @ SY1644 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV232 ) ) @ SY1644 ) ) @ ( red @ SY1645 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1482]) ).

thf(1684,plain,
    ! [SV233: $i,SV56: $i] :
      ( ( ! [SY1646: $i,SY1647: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( throw_list_char @ SV56 ) @ SV233 ) ) @ SY1646 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV56 ) ) @ SY1646 ) ) @ ( red @ SY1647 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1483]) ).

thf(1685,plain,
    ! [SV234: $i,SV57: $i] :
      ( ( ! [SY1648: $i,SY1649: $i,SY1650: $i,SY1651: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( throw_list_char @ SV57 ) @ SV234 @ SY1648 @ SY1649 ) ) @ SY1650 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV57 ) ) @ SY1650 ) ) @ ( red @ SY1651 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1484]) ).

thf(1686,plain,
    ! [SV235: $i,SV58: $i] :
      ( ( ! [SY1652: $i,SY1653: $i,SY1654: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ ( throw_list_char @ SV58 ) @ SV235 @ SY1652 ) ) @ SY1653 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV58 ) ) @ SY1653 ) ) @ ( red @ SY1654 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1485]) ).

thf(1687,plain,
    ! [SV236: $i,SV59: $i] :
      ( ( ! [SY1655: $i,SY1656: $i,SY1657: $i,SY1658: $i,SY1659: $i,SY1660: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1656 ) @ SY1657 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1658 ) @ SY1659 ) ) @ ( red @ SY1660 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY1656 @ SV59 @ SV236 @ SY1655 ) ) @ SY1657 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY1658 @ SV59 @ SV236 @ SY1655 ) ) @ SY1659 ) ) @ ( red @ SY1660 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1486]) ).

thf(1688,plain,
    ! [SV237: $i,SV60: $i] :
      ( ( ! [SY1661: $i,SY1662: $i,SY1663: $i,SY1664: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ ( val_list_char @ SV60 ) @ SV237 @ SY1661 @ SY1662 ) ) @ SY1663 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV60 ) ) @ SY1663 ) ) @ ( red @ SY1664 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1487]) ).

thf(1689,plain,
    ! [SV238: $i,SV61: $i] :
      ( ( ! [SY1665: $i,SY1666: $i,SY1667: $i,SY1668: $i,SY1669: $i,SY1670: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1666 ) @ SY1667 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1668 ) @ SY1669 ) ) @ ( transi2024712006on_val @ ( red @ SY1670 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY1666 @ SV61 @ SV238 @ SY1665 ) ) @ SY1667 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY1668 @ SV61 @ SV238 @ SY1665 ) ) @ SY1669 ) ) @ ( transi2024712006on_val @ ( red @ SY1670 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1488]) ).

thf(1690,plain,
    ! [SV62: $i,SV239: $i] :
      ( ( ! [SY1671: $i,SY1672: $i,SY1673: $i,SY1674: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV239 ) @ SY1671 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1672 ) @ SY1673 ) ) @ ( red @ SY1674 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV62 @ SV239 ) ) @ SY1671 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV62 @ SY1672 ) ) @ SY1673 ) ) @ ( red @ SY1674 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1489]) ).

thf(1691,plain,
    ! [SV240: $i,SV63: $i] :
      ( ( ! [SY1675: $i,SY1676: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV63 @ ( throw_list_char @ SV240 ) ) ) @ SY1675 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV240 ) ) @ SY1675 ) ) @ ( red @ SY1676 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1490]) ).

thf(1692,plain,
    ! [SV64: $i,SV241: $i] :
      ( ( ! [SY1677: $i,SY1678: $i,SY1679: $i,SY1680: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV241 ) @ SY1677 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1678 ) @ SY1679 ) ) @ ( transi2024712006on_val @ ( red @ SY1680 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV64 @ SV241 ) ) @ SY1677 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV64 @ SY1678 ) ) @ SY1679 ) ) @ ( transi2024712006on_val @ ( red @ SY1680 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1491]) ).

thf(1693,plain,
    ! [SV242: $i,SV65: $i] :
      ( ( ! [SY1681: $i,SY1682: $i,SY1683: $i,SY1684: $i,SY1685: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1681 ) @ SY1682 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1683 ) @ SY1684 ) ) @ ( red @ SY1685 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY1681 @ SV65 @ SV242 ) ) @ SY1682 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY1683 @ SV65 @ SV242 ) ) @ SY1684 ) ) @ ( red @ SY1685 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1492]) ).

thf(1694,plain,
    ! [SV243: $i,SV66: $i] :
      ( ( ! [SY1686: $i,SY1687: $i,SY1688: $i,SY1689: $i,SY1690: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1686 ) @ SY1687 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1688 ) @ SY1689 ) ) @ ( red @ SY1690 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV66 ) @ SV243 @ SY1686 ) ) @ SY1687 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV66 ) @ SV243 @ SY1688 ) ) @ SY1689 ) ) @ ( red @ SY1690 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1493]) ).

thf(1695,plain,
    ! [SV244: $i,SV67: $i] :
      ( ( ! [SY1691: $i,SY1692: $i,SY1693: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( throw_list_char @ SV67 ) @ SV244 @ SY1691 ) ) @ SY1692 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV67 ) ) @ SY1692 ) ) @ ( red @ SY1693 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1494]) ).

thf(1696,plain,
    ! [SV245: $i,SV68: $i] :
      ( ( ! [SY1694: $i,SY1695: $i,SY1696: $i,SY1697: $i,SY1698: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1694 ) @ SY1695 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1696 ) @ SY1697 ) ) @ ( transi2024712006on_val @ ( red @ SY1698 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY1694 @ SV68 @ SV245 ) ) @ SY1695 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY1696 @ SV68 @ SV245 ) ) @ SY1697 ) ) @ ( transi2024712006on_val @ ( red @ SY1698 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1495]) ).

thf(1697,plain,
    ! [SV246: $i,SV70: $i] :
      ( ( ! [SY1699: $i,SY1700: $i] : ( is_bool @ ( conf_P373316194t_char @ SV70 @ SV246 @ SY1699 @ SY1700 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1498]) ).

thf(1698,plain,
    ! [SV247: $i,SV71: $i] :
      ( ( is_bool @ ( d_list_char @ SV71 @ SV247 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1499]) ).

thf(1699,plain,
    ! [SV248: $i,SV72: $i] :
      ( ( is_bool @ ( hext @ SV72 @ SV248 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1500]) ).

thf(1700,plain,
    ! [SV249: $i,SV73: $i] :
      ( ( is_bool @ ( assigned @ SV73 @ SV249 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1501]) ).

thf(1701,plain,
    ! [SV250: $i,SV74: $i] :
      ( ( ! [SY1701: $i] : ( is_bool @ ( widen_2090681816t_char @ SV74 @ SV250 @ SY1701 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1502]) ).

thf(1702,plain,
    ! [SV251: $i,SV76: $i] :
      ( ( is_bool @ ( wf_pro755087577t_char @ SV76 @ SV251 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1504]) ).

thf(1703,plain,
    ! [SV252: $i,SV77: $i] :
      ( ( ! [SY1702: $i,SY1703: $i,SY1704: $i] : ( is_bool @ ( wTrt @ SV77 @ SV252 @ SY1702 @ SY1703 @ SY1704 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1505]) ).

thf(1704,plain,
    ! [SV78: $i,SV253: $i] :
      ( ( ~ ( is_bool @ SV253 )
        | ( is_bool @ ( hAPP_bool_bool @ SV78 @ SV253 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1506]) ).

thf(1705,plain,
    ! [SV254: $i,SV79: $i] :
      ( ( is_bool @ ( hAPP_list_char_bool @ SV79 @ SV254 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1507]) ).

thf(1706,plain,
    ! [SV255: $i,SV80: $i] :
      ( ( is_bool @ ( hAPP_nat_bool @ SV80 @ SV255 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1508]) ).

thf(1707,plain,
    ! [SV256: $i,SV81: $i] :
      ( ( is_bool @ ( hAPP_val_bool @ SV81 @ SV256 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1509]) ).

thf(1708,plain,
    ! [SV257: $i,SV82: $i] :
      ( ( is_bool @ ( hAPP_f1001225811y_bool @ SV82 @ SV257 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1510]) ).

thf(1709,plain,
    ! [SV258: $i,SV83: $i] :
      ( ( is_bool @ ( hAPP_f1033709212l_bool @ SV83 @ SV258 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1511]) ).

thf(1710,plain,
    ! [SV259: $i,SV84: $i] :
      ( ( is_bool @ ( hAPP_f61040418l_bool @ SV84 @ SV259 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1512]) ).

thf(1711,plain,
    ! [SV260: $i,SV85: $i] :
      ( ( is_bool @ ( hAPP_f1715346603l_bool @ SV85 @ SV260 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1513]) ).

thf(1712,plain,
    ! [SV261: $i,SV86: $i] :
      ( ( is_bool @ ( hAPP_P943837928l_bool @ SV86 @ SV261 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1514]) ).

thf(1713,plain,
    ! [SV262: $i,SV87: $i] :
      ( ( is_bool @ ( hAPP_P1708370145l_bool @ SV87 @ SV262 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1515]) ).

thf(1714,plain,
    ! [SV263: $i,SV88: $i] :
      ( ( is_bool @ ( hAPP_P449474095r_bool @ SV88 @ SV263 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1516]) ).

thf(1715,plain,
    ! [SV264: $i,SV89: $i] :
      ( ( is_bool @ ( hAPP_P1235399154l_bool @ SV89 @ SV264 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1517]) ).

thf(1716,plain,
    ! [SV265: $i,SV90: $i] :
      ( ( is_bool @ ( hAPP_P1384137393r_bool @ SV90 @ SV265 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1518]) ).

thf(1717,plain,
    ! [SV266: $i,SV91: $i] :
      ( ( is_bool @ ( hAPP_P929938951l_bool @ SV91 @ SV266 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1519]) ).

thf(1718,plain,
    ! [SV267: $i,SV92: $i] :
      ( ( is_bool @ ( hAPP_P159683425l_bool @ SV92 @ SV267 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1520]) ).

thf(1719,plain,
    ! [SV268: $i,SV93: $i] :
      ( ( is_bool @ ( hAPP_P282169671l_bool @ SV93 @ SV268 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1521]) ).

thf(1720,plain,
    ! [SV269: $i,SV94: $i] :
      ( ( is_bool @ ( member_list_char @ SV94 @ SV269 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1522]) ).

thf(1721,plain,
    ! [SV270: $i,SV95: $i] :
      ( ( is_bool @ ( member_nat @ SV95 @ SV270 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1523]) ).

thf(1722,plain,
    ! [SV271: $i,SV96: $i] :
      ( ( is_bool @ ( member1417904245al_val @ SV96 @ SV271 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1524]) ).

thf(1723,plain,
    ! [SV272: $i,SV97: $i] :
      ( ( is_bool @ ( member840932460on_val @ SV97 @ SV272 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1525]) ).

thf(1724,plain,
    ! [SV273: $i,SV98: $i] :
      ( ( is_bool @ ( member1251428284t_char @ SV98 @ SV273 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1526]) ).

thf(1725,plain,
    ! [SV274: $i,SV99: $i] :
      ( ( is_bool @ ( member1542417277on_val @ SV99 @ SV274 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1527]) ).

thf(1726,plain,
    ! [SV275: $i,SV100: $i] :
      ( ( is_bool @ ( member649088532al_val @ SV100 @ SV275 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1528]) ).

thf(1727,plain,
    ! [SV276: $i,SV101: $i] :
      ( ( is_bool @ ( member763590124on_val @ SV101 @ SV276 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1529]) ).

thf(1728,plain,
    ! [SV277: $i,SV102: $i] :
      ( ( ( fun_up204312361on_val @ SV102 @ SV277 @ ( hAPP_P2094403585on_val @ SV102 @ SV277 ) )
        = SV102 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1530]) ).

thf(1729,plain,
    ! [SV278: $i,SV103: $i] :
      ( ( ! [SY1705: $i] :
            ( ( ( hAPP_P2094403585on_val @ SV103 @ SV278 )
             != SY1705 )
            | ( ( fun_up204312361on_val @ SV103 @ SV278 @ SY1705 )
              = SV103 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1531]) ).

thf(1730,plain,
    ! [SV279: $i,SV104: $i] :
      ( ( ! [SY1706: $i,SY1707: $i] :
            ( ( SY1706 = SY1707 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV104 @ SY1707 @ SV279 ) @ SY1706 )
              = ( hAPP_P2094403585on_val @ SV104 @ SY1706 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1532]) ).

thf(1731,plain,
    ! [SV280: $i,SV105: $i] :
      ( ( ! [SY1708: $i,SY1709: $i,SY1710: $i] :
            ( ( SY1709 = SY1710 )
            | ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV105 @ SY1709 @ SV280 ) @ SY1710 @ SY1708 )
              = ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV105 @ SY1710 @ SY1708 ) @ SY1709 @ SV280 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1533]) ).

thf(1732,plain,
    ! [SV281: $i,SV106: $i] :
      ( ( ! [SY1711: $i] :
            ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV106 @ SV281 @ SY1711 ) @ SV281 )
            = SY1711 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1534]) ).

thf(1733,plain,
    ! [SV282: $i,SV107: $i] :
      ( ( ! [SY1712: $i,SY1713: $i] :
            ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV107 @ SV282 @ SY1712 ) @ SV282 @ SY1713 )
            = ( fun_up204312361on_val @ SV107 @ SV282 @ SY1713 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1535]) ).

thf(1734,plain,
    ! [SV108: $i,SV283: $i] :
      ( ( ! [SY1714: $i] :
            ( ~ ( hBOOL @ ( member1251428284t_char @ SV283 @ ( dom_Pr695701035ar_val @ SY1714 ) ) )
            | ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ SV108 @ SY1714 ) @ SV283 )
              = ( hAPP_P2094403585on_val @ SY1714 @ SV283 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1536]) ).

thf(1735,plain,
    ! [SV109: $i,SV284: $i] :
      ( ( ! [SY1715: $i] :
            ( ~ ( hBOOL @ ( member_list_char @ SV284 @ ( dom_list_char_val @ SY1715 ) ) )
            | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV109 @ SY1715 ) @ SV284 )
              = ( hAPP_l207779698on_val @ SY1715 @ SV284 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1537]) ).

thf(1736,plain,
    ! [SV110: $i,SV285: $i] :
      ( ( ! [SY1716: $i] :
            ( ( hBOOL @ ( member1251428284t_char @ SV285 @ ( dom_Pr695701035ar_val @ SY1716 ) ) )
            | ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ SV110 @ SY1716 ) @ SV285 )
              = ( hAPP_P2094403585on_val @ SV110 @ SV285 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1538]) ).

thf(1737,plain,
    ! [SV111: $i,SV286: $i] :
      ( ( ! [SY1717: $i] :
            ( ( hBOOL @ ( member_list_char @ SV286 @ ( dom_list_char_val @ SY1717 ) ) )
            | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV111 @ SY1717 ) @ SV286 )
              = ( hAPP_l207779698on_val @ SV111 @ SV286 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1539]) ).

thf(1738,plain,
    ! [SV112: $i,SV287: $i] :
      ( ( ! [SY1718: $i] :
            ( ( hBOOL @ ( member1251428284t_char @ SV287 @ ( dom_Pr695701035ar_val @ SY1718 ) ) )
            | ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ SY1718 @ SV112 ) @ SV287 )
              = ( hAPP_P2094403585on_val @ SV112 @ SV287 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1540]) ).

thf(1739,plain,
    ! [SV113: $i,SV288: $i] :
      ( ( ! [SY1719: $i] :
            ( ( hBOOL @ ( member_list_char @ SV288 @ ( dom_list_char_val @ SY1719 ) ) )
            | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SY1719 @ SV113 ) @ SV288 )
              = ( hAPP_l207779698on_val @ SV113 @ SV288 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1541]) ).

thf(1740,plain,
    ! [SV289: $i,SV114: $i] :
      ( ( ! [SY1720: $i] :
            ( ( map_ad1185064968ar_val @ SV114 @ ( map_ad1185064968ar_val @ SV289 @ SY1720 ) )
            = ( map_ad1185064968ar_val @ ( map_ad1185064968ar_val @ SV114 @ SV289 ) @ SY1720 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1542]) ).

thf(1741,plain,
    ! [SV290: $i,SV115: $i] :
      ( ( ! [SY1721: $i] :
            ( ( map_ad325961431ar_val @ SV115 @ ( map_ad325961431ar_val @ SV290 @ SY1721 ) )
            = ( map_ad325961431ar_val @ ( map_ad325961431ar_val @ SV115 @ SV290 ) @ SY1721 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1543]) ).

thf(1742,plain,
    ! [SV291: $i,SV116: $i] :
      ( ( ! [SY1722: $i,SY1723: $i,SY1724: $i,SY1725: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV116 @ SV291 @ ( seq_list_char @ ( lAss_list_char @ SV116 @ ( val_list_char @ SY1722 ) ) @ ( val_list_char @ SY1723 ) ) ) ) @ SY1724 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY1723 ) ) @ SY1724 ) ) @ ( red @ SY1725 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1544]) ).

thf(1743,plain,
    ! [SV292: $i,SV117: $i] :
      ( ( ! [SY1726: $i,SY1727: $i] :
            ( ( hBOOL @ ( member1251428284t_char @ SY1726 @ ( dom_Pr695701035ar_val @ SY1727 ) ) )
            | ( ( map_ad1185064968ar_val @ ( fun_up204312361on_val @ SV117 @ SY1726 @ ( hAPP_val_option_val @ some_val @ SV292 ) ) @ SY1727 )
              = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ SV117 @ SY1727 ) @ SY1726 @ ( hAPP_val_option_val @ some_val @ SV292 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1545]) ).

thf(1744,plain,
    ! [SV293: $i,SV118: $i] :
      ( ( ! [SY1728: $i,SY1729: $i] :
            ( ( hBOOL @ ( member_list_char @ SY1728 @ ( dom_list_char_val @ SY1729 ) ) )
            | ( ( map_ad325961431ar_val @ ( fun_up1149430426on_val @ SV118 @ SY1728 @ ( hAPP_val_option_val @ some_val @ SV293 ) ) @ SY1729 )
              = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ SV118 @ SY1729 ) @ SY1728 @ ( hAPP_val_option_val @ some_val @ SV293 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1546]) ).

thf(1745,plain,
    ! [SV294: $i,SV119: $i] :
      ( ( ! [SY1730: $i] :
            ( ( hAPP_P2094403585on_val @ SV119 @ SV294 )
           != ( hAPP_val_option_val @ some_val @ SY1730 ) )
        | ( hBOOL @ ( member1251428284t_char @ SV294 @ ( dom_Pr695701035ar_val @ SV119 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1547]) ).

thf(1746,plain,
    ! [SV295: $i,SV120: $i] :
      ( ( ! [SY1731: $i] :
            ( ( hAPP_l207779698on_val @ SV120 @ SV295 )
           != ( hAPP_val_option_val @ some_val @ SY1731 ) )
        | ( hBOOL @ ( member_list_char @ SV295 @ ( dom_list_char_val @ SV120 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1548]) ).

thf(1747,plain,
    ! [SV121: $i,SV296: $i] :
      ( ( ! [SY1732: $i,SY1733: $i,SY1734: $i,SY1735: $i,SY1736: $i,SY1737: $i,SY1738: $i,SY1739: $i,SY1740: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1732 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1733 ) @ ( fun_up1149430426on_val @ SY1734 @ SY1735 @ ( hAPP_val_option_val @ some_val @ SY1736 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1737 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1738 ) @ SY1739 ) ) ) @ ( red @ SY1740 ) ) )
            | ( ( hAPP_l207779698on_val @ SY1739 @ SY1735 )
             != ( hAPP_val_option_val @ some_val @ SV296 ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY1735 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SY1735 @ ( val_list_char @ SY1736 ) ) @ SY1732 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1733 ) @ SY1734 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY1735 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SY1735 @ ( val_list_char @ SV296 ) ) @ SY1737 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1738 ) @ ( fun_up1149430426on_val @ SY1739 @ SY1735 @ ( hAPP_l207779698on_val @ SY1734 @ SY1735 ) ) ) ) ) @ ( red @ SY1740 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1549]) ).

thf(1748,plain,
    ! [SV297: $i,SV122: $i] :
      ( ( ! [SY1741: $i,SY1742: $i,SY1743: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV122 @ ( val_list_char @ SV297 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1741 ) @ SY1742 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1741 ) @ ( fun_up1149430426on_val @ SY1742 @ SV122 @ ( hAPP_val_option_val @ some_val @ SV297 ) ) ) ) ) @ ( red @ SY1743 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1550]) ).

thf(1749,plain,
    ! [SV298: $i,SV123: $i] :
      ( ( ~ ( hBOOL @ ( member1251428284t_char @ SV123 @ ( dom_Pr695701035ar_val @ SV298 ) ) )
        | ( ( hAPP_P2094403585on_val @ SV298 @ SV123 )
          = ( hAPP_val_option_val @ some_val @ ( sK5_B_1 @ SV298 @ SV123 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1551]) ).

thf(1750,plain,
    ! [SV299: $i,SV124: $i] :
      ( ( ~ ( hBOOL @ ( member_list_char @ SV124 @ ( dom_list_char_val @ SV299 ) ) )
        | ( ( hAPP_l207779698on_val @ SV299 @ SV124 )
          = ( hAPP_val_option_val @ some_val @ ( sK4_B_1 @ SV299 @ SV124 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1552]) ).

thf(1751,plain,
    ! [SV300: $i,SV125: $i] :
      ( ( ! [SY1744: $i,SY1745: $i,SY1746: $i] :
            ( ( block_list_char @ SV125 @ SV300 @ SY1744 )
           != ( lAss_list_char @ SY1745 @ SY1746 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1553]) ).

thf(1752,plain,
    ! [SV301: $i,SV126: $i] :
      ( ( ! [SY1747: $i] :
            ( ( val_list_char @ SV126 )
           != ( seq_list_char @ SV301 @ SY1747 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1554]) ).

thf(1753,plain,
    ! [SV302: $i,SV127: $i] :
      ( ( ! [SY1748: $i] :
            ( ( val_list_char @ SV127 )
           != ( lAss_list_char @ SV302 @ SY1748 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1555]) ).

thf(1754,plain,
    ! [SV303: $i,SV128: $i] :
      ( ( ! [SY1749: $i] :
            ( ( seq_list_char @ SV128 @ SV303 )
           != ( val_list_char @ SY1749 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1556]) ).

thf(1755,plain,
    ! [SV304: $i,SV129: $i] :
      ( ( ! [SY1750: $i] :
            ( ( lAss_list_char @ SV129 @ SV304 )
           != ( val_list_char @ SY1750 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1557]) ).

thf(1756,plain,
    ! [SV305: $i,SV130: $i] :
      ( ( ! [SY1751: $i,SY1752: $i] :
            ( ( val_list_char @ SV130 )
           != ( block_list_char @ SV305 @ SY1751 @ SY1752 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1558]) ).

thf(1757,plain,
    ! [SV306: $i,SV131: $i] :
      ( ( ! [SY1753: $i,SY1754: $i] :
            ( ( block_list_char @ SV131 @ SV306 @ SY1753 )
           != ( val_list_char @ SY1754 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1559]) ).

thf(1758,plain,
    ! [SV307: $i,SV132: $i] :
      ( ( ! [SY1755: $i,SY1756: $i] :
            ( ( seq_list_char @ SV132 @ SV307 )
           != ( lAss_list_char @ SY1755 @ SY1756 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1560]) ).

thf(1759,plain,
    ! [SV308: $i,SV133: $i] :
      ( ( ! [SY1757: $i,SY1758: $i] :
            ( ( lAss_list_char @ SV133 @ SV308 )
           != ( seq_list_char @ SY1757 @ SY1758 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1561]) ).

thf(1760,plain,
    ! [SV309: $i,SV134: $i] :
      ( ( ! [SY1759: $i,SY1760: $i,SY1761: $i] :
            ( ( seq_list_char @ SV134 @ SV309 )
           != ( block_list_char @ SY1759 @ SY1760 @ SY1761 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1562]) ).

thf(1761,plain,
    ! [SV310: $i,SV135: $i] :
      ( ( ! [SY1762: $i,SY1763: $i,SY1764: $i] :
            ( ( lAss_list_char @ SV135 @ SV310 )
           != ( block_list_char @ SY1762 @ SY1763 @ SY1764 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1563]) ).

thf(1762,plain,
    ! [SV311: $i,SV136: $i] :
      ( ( ! [SY1765: $i,SY1766: $i,SY1767: $i] :
            ( ( block_list_char @ SV136 @ SV311 @ SY1765 )
           != ( seq_list_char @ SY1766 @ SY1767 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1564]) ).

thf(1763,plain,
    ! [SV137: $i,SV312: $i] :
      ( ( ! [SY1768: $i,SY1769: $i,SY1770: $i,SY1771: $i,SY1772: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV312 ) @ SY1768 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY1769 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1770 ) @ SY1771 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1772 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV137 @ SV312 ) ) @ SY1768 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1770 ) @ ( fun_up1149430426on_val @ SY1771 @ SV137 @ ( hAPP_val_option_val @ some_val @ SY1769 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY1772 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1565]) ).

thf(1764,plain,
    ! [SV313: $i,SV138: $i] :
      ( ( ! [SY1773: $i,SY1774: $i,SY1775: $i,SY1776: $i,SY1777: $i,SY1778: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1774 ) @ SY1775 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY1776 ) ) @ SY1777 ) ) @ ( transi2024712006on_val @ ( red @ SY1778 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV138 ) @ SY1777 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SY1773 ) ) @ ( transi2024712006on_val @ ( red @ SY1778 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY1774 @ SV138 ) ) @ SY1775 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SY1773 ) ) @ ( transi2024712006on_val @ ( red @ SY1778 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1566]) ).

thf(1765,plain,
    ! [SV139: $i,SV314: $i] :
      ( ( ! [SY1779: $i,SY1780: $i,SY1781: $i,SY1782: $i,SY1783: $i,SY1784: $i,SY1785: $i,SY1786: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV314 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1779 ) @ ( fun_up1149430426on_val @ SY1780 @ SY1781 @ ( hAPP_val_option_val @ some_val @ SY1782 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1783 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1784 ) @ SY1785 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1786 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY1781 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SY1781 @ ( val_list_char @ SY1782 ) ) @ SV314 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1779 ) @ SY1780 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY1781 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SY1781 @ ( val_list_char @ ( the_val @ ( hAPP_l207779698on_val @ SY1785 @ SY1781 ) ) ) ) @ SY1783 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1784 ) @ ( fun_up1149430426on_val @ SY1785 @ SY1781 @ ( hAPP_l207779698on_val @ SY1780 @ SY1781 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY1786 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1567]) ).

thf(1766,plain,
    ! [SV140: $i,SV315: $i] :
      ( ( ! [SY1787: $i,SY1788: $i,SY1789: $i,SY1790: $i,SY1791: $i,SY1792: $i,SY1793: $i,SY1794: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV315 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1787 ) @ ( fun_up1149430426on_val @ SY1788 @ SY1789 @ ( hAPP_val_option_val @ some_val @ SY1790 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1791 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1792 ) @ SY1793 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1794 ) ) ) )
            | ~ ( hBOOL @ ( final_list_char @ SY1791 ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY1789 @ SV140 @ ( seq_list_char @ ( lAss_list_char @ SY1789 @ ( val_list_char @ SY1790 ) ) @ SV315 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1787 ) @ SY1788 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1791 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1792 ) @ ( fun_up1149430426on_val @ SY1793 @ SY1789 @ ( hAPP_l207779698on_val @ SY1788 @ SY1789 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY1794 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1568]) ).

thf(1767,plain,
    ! [SV141: $i] :
      ( ( ( ~ ( hBOOL @ ( wf_pro755087577t_char @ wf_J_mdecl @ SV141 ) ) )
        = $true )
      | ( ( hBOOL @ ( wf_pro755087577t_char @ wwf_J_mdecl @ SV141 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1569]) ).

thf(1768,plain,
    ! [SV316: $i,SV142: $i] :
      ( ( ! [SY1795: $i,SY1796: $i,SY1797: $i,SY1798: $i,SY1799: $i,SY1800: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1796 ) @ SY1797 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1798 ) @ SY1799 ) ) @ ( transi2024712006on_val @ ( red @ SY1800 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV142 ) @ SV316 @ SY1795 @ SY1796 ) ) @ SY1797 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV142 ) @ SV316 @ SY1795 @ SY1798 ) ) @ SY1799 ) ) @ ( transi2024712006on_val @ ( red @ SY1800 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1570]) ).

thf(1769,plain,
    ! [SV317: $i,SV143: $i] :
      ( ( ! [SY1801: $i,SY1802: $i,SY1803: $i,SY1804: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV143 @ SV317 @ ( seq_list_char @ ( lAss_list_char @ SV143 @ ( val_list_char @ SY1801 ) ) @ ( throw_list_char @ ( val_list_char @ ( addr @ SY1802 ) ) ) ) ) ) @ SY1803 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ SY1802 ) ) ) ) @ SY1803 ) ) @ ( red @ SY1804 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1571]) ).

thf(1770,plain,
    ! [SV318: $i,SV144: $i] :
      ( ( ! [SY1805: $i,SY1806: $i,SY1807: $i,SY1808: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV144 ) @ SV318 @ SY1805 @ ( throw_list_char @ SY1806 ) ) ) @ SY1807 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1806 ) ) @ SY1807 ) ) @ ( red @ SY1808 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1572]) ).

thf(1771,plain,
    ! [SV145: $i,SV319: $i] :
      ( ( ! [SY1809: $i,SY1810: $i,SY1811: $i,SY1812: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV319 ) @ SY1809 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1810 ) ) @ SY1811 ) ) @ ( transi2024712006on_val @ ( red @ SY1812 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV145 @ SV319 ) ) @ SY1809 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1810 ) ) @ SY1811 ) ) @ ( transi2024712006on_val @ ( red @ SY1812 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1573]) ).

thf(1772,plain,
    ! [SV146: $i,SV320: $i] :
      ( ( ! [SY1813: $i,SY1814: $i,SY1815: $i,SY1816: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV320 ) @ SY1813 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1814 ) ) @ SY1815 ) ) @ ( transi2024712006on_val @ ( red @ SY1816 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV320 @ SV146 ) ) @ SY1813 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1814 ) ) @ SY1815 ) ) @ ( transi2024712006on_val @ ( red @ SY1816 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1574]) ).

thf(1773,plain,
    ! [SV321: $i,SV147: $i] :
      ( ( ! [SY1817: $i,SY1818: $i,SY1819: $i,SY1820: $i,SY1821: $i,SY1822: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1818 ) @ SY1819 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1820 ) ) @ SY1821 ) ) @ ( transi2024712006on_val @ ( red @ SY1822 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY1818 @ SV147 @ SV321 @ SY1817 ) ) @ SY1819 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1820 ) ) @ SY1821 ) ) @ ( transi2024712006on_val @ ( red @ SY1822 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1575]) ).

thf(1774,plain,
    ! [SV322: $i,SV148: $i] :
      ( ( ! [SY1823: $i,SY1824: $i,SY1825: $i,SY1826: $i,SY1827: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1823 ) @ SY1824 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1825 ) ) @ SY1826 ) ) @ ( transi2024712006on_val @ ( red @ SY1827 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY1823 @ SV148 @ SV322 ) ) @ SY1824 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1825 ) ) @ SY1826 ) ) @ ( transi2024712006on_val @ ( red @ SY1827 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1576]) ).

thf(1775,plain,
    ! [SV323: $i,SV149: $i] :
      ( ( ! [SY1828: $i,SY1829: $i,SY1830: $i,SY1831: $i,SY1832: $i,SY1833: $i,SY1834: $i,SY1835: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1831 ) @ SY1832 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY1833 ) ) @ SY1834 ) ) @ ( transi2024712006on_val @ ( red @ SY1835 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1828 ) @ SY1834 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1829 ) ) @ SY1830 ) ) @ ( transi2024712006on_val @ ( red @ SY1835 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY1831 @ SV149 @ SV323 @ SY1828 ) ) @ SY1832 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1829 ) ) @ SY1830 ) ) @ ( transi2024712006on_val @ ( red @ SY1835 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1577]) ).

thf(1776,plain,
    ! [SV324: $i,SV150: $i] :
      ( ( ! [SY1836: $i,SY1837: $i,SY1838: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV150 @ SV324 @ ( throw_list_char @ ( val_list_char @ ( addr @ SY1836 ) ) ) ) ) @ SY1837 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ SY1836 ) ) ) ) @ SY1837 ) ) @ ( red @ SY1838 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1578]) ).

thf(1777,plain,
    ! [SV325: $i,SV151: $i] :
      ( ( ! [SY1839: $i,SY1840: $i,SY1841: $i,SY1842: $i,SY1843: $i,SY1844: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1840 ) @ SY1841 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY1842 ) ) @ SY1843 ) ) @ ( transi2024712006on_val @ ( red @ SY1844 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY1840 @ SV151 @ SV325 @ SY1839 ) ) @ SY1841 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY1842 ) ) @ SY1843 ) ) @ ( transi2024712006on_val @ ( red @ SY1844 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1579]) ).

thf(1778,plain,
    ! [SV152: $i,SV326: $i] :
      ( ( ! [SY1845: $i,SY1846: $i,SY1847: $i,SY1848: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV326 ) @ SY1845 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1846 ) ) @ SY1847 ) ) @ ( transi2024712006on_val @ ( red @ SY1848 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV152 @ SV326 ) ) @ SY1845 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1846 ) ) @ SY1847 ) ) @ ( transi2024712006on_val @ ( red @ SY1848 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1580]) ).

thf(1779,plain,
    ! [SV153: $i,SV327: $i] :
      ( ( ! [SY1849: $i,SY1850: $i,SY1851: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV327 ) @ SY1849 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ SY1850 ) ) @ ( transi2024712006on_val @ ( red @ SY1851 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV153 @ SV327 ) ) @ SY1849 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ SY1850 ) ) @ ( transi2024712006on_val @ ( red @ SY1851 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1581]) ).

thf(1780,plain,
    ! [SV328: $i,SV154: $i] :
      ( ( ! [SY1852: $i,SY1853: $i,SY1854: $i,SY1855: $i,SY1856: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SY1853 @ SY1854 @ SY1855 @ SY1856 @ nt ) )
            | ( hBOOL @ ( wTrt @ SY1853 @ SY1854 @ SY1855 @ ( fAcc_list_char @ SY1856 @ SV154 @ SV328 ) @ SY1852 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1582]) ).

thf(1781,plain,
    ! [SV329: $i,SV155: $i] :
      ( ( ! [SY1857: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV155 @ ( val_list_char @ null ) ) ) @ SV329 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ SV329 ) ) @ ( red @ SY1857 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1583]) ).

thf(1782,plain,
    ! [SV156: $i,SV330: $i] :
      ( ( ! [SY1858: $i,SY1859: $i,SY1860: $i,SY1861: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV330 @ SY1858 @ SY1859 @ SY1860 @ SY1861 ) )
            | ~ ( hBOOL @ ( is_refT @ SY1861 ) )
            | ( hBOOL @ ( wTrt @ SV330 @ SY1858 @ SY1859 @ ( throw_list_char @ SY1860 ) @ SV156 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1584]) ).

thf(1783,plain,
    ! [SV157: $i,SV331: $i] :
      ( ( ! [SY1862: $i,SY1863: $i,SY1864: $i,SY1865: $i,SY1866: $i,SY1867: $i,SY1868: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1864 ) @ SY1865 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY1866 ) ) @ SY1867 ) ) @ ( transi2024712006on_val @ ( red @ SY1868 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV331 ) @ SY1867 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1862 ) ) @ SY1863 ) ) @ ( transi2024712006on_val @ ( red @ SY1868 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY1864 @ SV157 @ SV331 ) ) @ SY1865 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1862 ) ) @ SY1863 ) ) @ ( transi2024712006on_val @ ( red @ SY1868 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1585]) ).

thf(1784,plain,
    ! [SV332: $i,SV158: $i] :
      ( ( ! [SY1869: $i,SY1870: $i,SY1871: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV158 ) @ SV332 @ ( throw_list_char @ SY1869 ) ) ) @ SY1870 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1869 ) ) @ SY1870 ) ) @ ( red @ SY1871 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1586]) ).

thf(1785,plain,
    ! [SV333: $i,SV159: $i] :
      ( ( ! [SY1872: $i,SY1873: $i,SY1874: $i,SY1875: $i,SY1876: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1872 ) @ SY1873 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1874 ) @ SY1875 ) ) @ ( transi2024712006on_val @ ( red @ SY1876 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV159 ) @ SV333 @ SY1872 ) ) @ SY1873 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV159 ) @ SV333 @ SY1874 ) ) @ SY1875 ) ) @ ( transi2024712006on_val @ ( red @ SY1876 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1587]) ).

thf(1786,plain,
    ! [SV334: $i,SV160: $i] :
      ( ( ! [SY1877: $i,SY1878: $i,SY1879: $i,SY1880: $i,SY1881: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1877 ) @ SY1878 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1879 ) ) @ SY1880 ) ) @ ( transi2024712006on_val @ ( red @ SY1881 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY1877 @ SV160 @ SV334 ) ) @ SY1878 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1879 ) ) @ SY1880 ) ) @ ( transi2024712006on_val @ ( red @ SY1881 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1588]) ).

thf(1787,plain,
    ! [SV161: $i] :
      ( ( null
        = ( bool @ SV161 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1589]) ).

thf(1788,plain,
    ! [SV162: $i] :
      ( ( ( bool @ SV162 )
        = null )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1590]) ).

thf(1789,plain,
    ! [SV163: $i] :
      ( ( unit
        = ( bool @ SV163 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1591]) ).

thf(1790,plain,
    ! [SV164: $i] :
      ( ( ( bool @ SV164 )
        = unit )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1592]) ).

thf(1791,plain,
    ! [SV335: $i,SV165: $i] :
      ( ( ( ( addr @ SV165 )
         != ( bool @ SV335 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1593]) ).

thf(1792,plain,
    ! [SV336: $i,SV166: $i] :
      ( ( ( ( bool @ SV166 )
         != ( addr @ SV336 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1594]) ).

thf(1793,plain,
    ! [SV167: $i] :
      ( ( ( ~ ( is_bool @ SV167 ) )
        = $true )
      | ( ( ( SV167 = fTrue )
          | ( SV167 = fFalse ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1595]) ).

thf(1794,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_A @ SX0 ) ) @ ( sK15_SY856 @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1597]) ).

thf(1795,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i,SX2: $i] :
                ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) )
            | ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( sK13_X1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1597]) ).

thf(1796,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( ( hAPP_val_option_val @ some_val @ SX0 )
             != ( hAPP_val_option_val @ some_val @ SX1 ) )
            | ( SX0 = SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1598]) ).

thf(1797,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( ( hAPP_val_option_val @ some_val @ SX0 )
              = ( hAPP_val_option_val @ some_val @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1598]) ).

thf(1798,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( member_nat @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ SX1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1599]) ).

thf(1799,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( member_nat @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1599]) ).

thf(1800,plain,
    ! [SV168: $i] :
      ( ( ~ ! [SY1399: $i,SY1400: $i] :
              ( ( ( fun_up204312361on_val @ SV168 @ SY1399 @ SY1400 )
               != SV168 )
              | ( ( hAPP_P2094403585on_val @ SV168 @ SY1399 )
                = SY1400 ) )
        | ~ ! [SY1401: $i,SY1402: $i] :
              ( ( ( hAPP_P2094403585on_val @ SV168 @ SY1401 )
               != SY1402 )
              | ( ( fun_up204312361on_val @ SV168 @ SY1401 @ SY1402 )
                = SV168 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1600]) ).

thf(1801,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1601]) ).

thf(1802,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( member773094996on_val @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1601]) ).

thf(1803,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SX1 @ SX0 ) ) @ ( sK29_SY863 @ SX1 @ SX0 ) ) @ SX1 ) )
                    | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SX1 @ SX0 ) ) @ ( sK29_SY863 @ SX1 @ SX0 ) ) @ SX0 ) ) )
                | ~ ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SX1 @ SX0 ) ) @ ( sK29_SY863 @ SX1 @ SX0 ) ) @ SX1 ) )
                    | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SX1 @ SX0 ) ) @ ( sK29_SY863 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
            | ( SX1 = SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1602]) ).

thf(1804,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 != SX0 )
            | ~ ( ~ ! [SX2: $i,SX3: $i] :
                      ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX1 ) )
                      | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
                | ~ ! [SX2: $i,SX3: $i] :
                      ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX0 ) )
                      | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1602]) ).

thf(1805,plain,
    ! [SV337: $i,SV169: $i] :
      ( ( ! [SY1882: $i,SY1883: $i] :
            ( ! [SY1884: $i] :
                ~ ( hBOOL @ ( wTrt @ SV169 @ SV337 @ SY1882 @ ( throw_list_char @ SY1883 ) @ SY1884 ) )
            | ~ ( ~ ( hBOOL @ ( wTrt @ SV169 @ SV337 @ SY1882 @ SY1883 @ ( sK1_T_r @ SY1883 @ SY1882 @ SV337 @ SV169 ) ) )
                | ~ ( hBOOL @ ( is_refT @ ( sK1_T_r @ SY1883 @ SY1882 @ SV337 @ SV169 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1603]) ).

thf(1806,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ! [SX2: $i,SX3: $i] :
                ( SX1
               != ( seq_list_char @ ( lAss_list_char @ SX0 @ ( val_list_char @ SX2 ) ) @ SX3 ) )
            | ( hBOOL @ ( assigned @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1604]) ).

thf(1807,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( assigned @ SX0 @ SX1 ) )
            | ( SX1
              = ( seq_list_char @ ( lAss_list_char @ SX0 @ ( val_list_char @ ( sK2_V_3 @ SX1 @ SX0 ) ) ) @ ( sK3_SY853 @ SX1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1604]) ).

thf(1808,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( hBOOL @ SX0 )
                  | ~ ( hBOOL @ SX1 )
                  | ( ( bool @ SX0 )
                    = ( bool @ SX1 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ( hBOOL @ SX0 )
                  | ( hBOOL @ SX1 )
                  | ( ( bool @ SX0 )
                    = ( bool @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1605]) ).

thf(1809,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ( ( bool @ SX0 )
                   != ( bool @ SX1 ) )
                  | ~ ( hBOOL @ SX0 )
                  | ( hBOOL @ SX1 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ( ( bool @ SX0 )
                   != ( bool @ SX1 ) )
                  | ~ ( hBOOL @ SX1 )
                  | ( hBOOL @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1605]) ).

thf(1810,plain,
    ! [SV338: $i,SV170: $i] :
      ( ( ~ ( ~ ! [SY1885: $i,SY1886: $i] :
                  ( ( SY1885 != SY1886 )
                  | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV170 @ SY1886 @ SV338 ) @ SY1885 )
                    = SV338 ) )
            | ~ ! [SY1887: $i,SY1888: $i] :
                  ( ( SY1887 = SY1888 )
                  | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV170 @ SY1888 @ SV338 ) @ SY1887 )
                    = ( hAPP_l207779698on_val @ SV170 @ SY1887 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1606]) ).

thf(1811,plain,
    ! [SV171: $i,SV339: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa807100911_sconf @ p @ SV339 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) )
        | ~ ( hBOOL @ ( wTrt @ p @ ha @ SV339 @ ea @ SV171 ) )
        | ~ ( ~ ( hBOOL @ ( wTrt @ p @ h_a @ SV339 @ e_a @ ( sK6_T_3 @ SV339 @ SV171 ) ) )
            | ~ ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK6_T_3 @ SV339 @ SV171 ) @ SV171 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1607]) ).

thf(1812,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( sK54_X1 @ SX0 ) ) )
            | ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1608]) ).

thf(1813,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK52_A @ SX0 ) ) @ ( sK53_SY880 @ SX0 ) ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1608]) ).

thf(1814,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( member763590124on_val @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P159683425l_bool @ SX1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1609]) ).

thf(1815,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( member763590124on_val @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1609]) ).

thf(1816,plain,
    ! [SV340: $i,SV172: $i] :
      ( ( ~ ( ~ ! [SY1889: $i] :
                  ( ! [SY1890: $i] :
                      ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV172 ) @ SV340 )
                     != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1889 ) @ SY1890 ) )
                  | ( SV172 = SY1889 ) )
            | ~ ! [SY1891: $i,SY1892: $i] :
                  ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV172 ) @ SV340 )
                   != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1891 ) @ SY1892 ) )
                  | ( SV340 = SY1892 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1610]) ).

thf(1817,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( member1251428284t_char @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P449474095r_bool @ SX1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1611]) ).

thf(1818,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_P449474095r_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( member1251428284t_char @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1611]) ).

thf(1819,plain,
    ! [SV341: $i,SV173: $i] :
      ( ( ~ ( ~ ! [SY1893: $i,SY1894: $i] :
                  ( ( SV173 != SY1893 )
                  | ( SV341 != SY1894 )
                  | ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
                    = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1893 ) @ SY1894 ) ) )
            | ~ ~ ( ~ ! [SY1895: $i] :
                        ( ! [SY1896: $i] :
                            ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
                           != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1895 ) @ SY1896 ) )
                        | ( SV173 = SY1895 ) )
                  | ~ ! [SY1897: $i,SY1898: $i] :
                        ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
                         != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1897 ) @ SY1898 ) )
                        | ( SV341 = SY1898 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1612]) ).

thf(1820,plain,
    ! [SV342: $i,SV174: $i] :
      ( ( ~ ( ~ ! [SY1899: $i,SY1900: $i] :
                  ( ( SY1900 != SY1899 )
                  | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV174 @ SY1899 @ SV342 ) @ SY1900 )
                    = SV342 ) )
            | ~ ! [SY1901: $i,SY1902: $i] :
                  ( ( SY1902 = SY1901 )
                  | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV174 @ SY1901 @ SV342 ) @ SY1902 )
                    = ( hAPP_l207779698on_val @ SV174 @ SY1902 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1613]) ).

thf(1821,plain,
    ! [SV343: $i,SV175: $i] :
      ( ( ~ ( ~ ! [SY1903: $i] :
                  ( ! [SY1904: $i] :
                      ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV175 ) @ SV343 )
                     != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1903 ) @ SY1904 ) )
                  | ( SV175 = SY1903 ) )
            | ~ ! [SY1905: $i,SY1906: $i] :
                  ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV175 ) @ SV343 )
                   != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1905 ) @ SY1906 ) )
                  | ( SV343 = SY1906 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1614]) ).

thf(1822,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( member649088532al_val @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P929938951l_bool @ SX1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1615]) ).

thf(1823,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_P929938951l_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( member649088532al_val @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1615]) ).

thf(1824,plain,
    ! [SV344: $i,SV176: $i] :
      ( ( ! [SY1907: $i,SY1908: $i] :
            ~ ( ~ ! [SY1909: $i,SY1910: $i] :
                    ( ( SV176 != SY1908 )
                    | ( SV344 != SY1909 )
                    | ( SY1907 != SY1910 )
                    | ( ( block_list_char @ SV176 @ SV344 @ SY1907 )
                      = ( block_list_char @ SY1908 @ SY1909 @ SY1910 ) ) )
              | ~ ~ ( ~ ~ ( ~ ( ! [SY1911: $i,SY1912: $i] :
                                  ( ( block_list_char @ SV176 @ SV344 @ SY1907 )
                                 != ( block_list_char @ SY1908 @ SY1911 @ SY1912 ) )
                              | ( SV176 = SY1908 ) )
                          | ~ ! [SY1913: $i] :
                                ( ! [SY1914: $i] :
                                    ( ( block_list_char @ SV176 @ SV344 @ SY1907 )
                                   != ( block_list_char @ SY1908 @ SY1913 @ SY1914 ) )
                                | ( SV344 = SY1913 ) ) )
                    | ~ ! [SY1915: $i,SY1916: $i] :
                          ( ( ( block_list_char @ SV176 @ SV344 @ SY1907 )
                           != ( block_list_char @ SY1908 @ SY1915 @ SY1916 ) )
                          | ( SY1907 = SY1916 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1616]) ).

thf(1825,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( member_list_char @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_list_char_bool @ SX1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1617]) ).

thf(1826,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( member_list_char @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1617]) ).

thf(1827,plain,
    ! [SV345: $i,SV177: $i] :
      ( ( ~ ( ~ ! [SY1917: $i,SY1918: $i] :
                  ( ( SV177 != SY1917 )
                  | ( SV345 != SY1918 )
                  | ( ( seq_list_char @ SV177 @ SV345 )
                    = ( seq_list_char @ SY1917 @ SY1918 ) ) )
            | ~ ~ ( ~ ! [SY1919: $i] :
                        ( ! [SY1920: $i] :
                            ( ( seq_list_char @ SV177 @ SV345 )
                           != ( seq_list_char @ SY1919 @ SY1920 ) )
                        | ( SV177 = SY1919 ) )
                  | ~ ! [SY1921: $i,SY1922: $i] :
                        ( ( ( seq_list_char @ SV177 @ SV345 )
                         != ( seq_list_char @ SY1921 @ SY1922 ) )
                        | ( SV345 = SY1922 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1618]) ).

thf(1828,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK11_A @ SX0 ) ) @ ( sK12_SY855 @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1619]) ).

thf(1829,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i,SX2: $i] :
                ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) )
            | ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK10_X1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1619]) ).

thf(1830,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SX1 @ SX0 ) ) @ ( sK31_SY864 @ SX1 @ SX0 ) ) @ SX1 ) )
                    | ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SX1 @ SX0 ) ) @ ( sK31_SY864 @ SX1 @ SX0 ) ) @ SX0 ) ) )
                | ~ ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SX1 @ SX0 ) ) @ ( sK31_SY864 @ SX1 @ SX0 ) ) @ SX1 ) )
                    | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SX1 @ SX0 ) ) @ ( sK31_SY864 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
            | ( SX1 = SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1620]) ).

thf(1831,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 != SX0 )
            | ~ ( ~ ! [SX2: $i,SX3: $i] :
                      ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX1 ) )
                      | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
                | ~ ! [SX2: $i,SX3: $i] :
                      ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX0 ) )
                      | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1620]) ).

thf(1832,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK51_X1 @ SX0 ) ) )
            | ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1621]) ).

thf(1833,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK49_A @ SX0 ) ) @ ( sK50_SY879 @ SX0 ) ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1621]) ).

thf(1834,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( member1542417277on_val @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P1235399154l_bool @ SX1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1622]) ).

thf(1835,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_P1235399154l_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( member1542417277on_val @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1622]) ).

thf(1836,plain,
    ! [SV346: $i,SV178: $i] :
      ( ( ! [SY1923: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ! [SY1924: $i] :
                                ( ! [SY1925: $i] :
                                    ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SY1923 ) ) @ SY1924 )
                                   != ( hAPP_val_option_val @ some_val @ SY1925 ) )
                                | ( SY1924 = SV346 )
                                | ( SY1924 != SV346 ) )
                          | ~ ! [SY1926: $i,SY1927: $i] :
                                ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SY1923 ) ) @ SY1926 )
                                 != ( hAPP_val_option_val @ some_val @ SY1927 ) )
                                | ( SY1926 = SV346 )
                                | ( ( hAPP_P2094403585on_val @ SV178 @ SY1926 )
                                  = ( hAPP_val_option_val @ some_val @ SY1927 ) ) ) )
                    | ~ ~ ( ~ ! [SY1928: $i,SY1929: $i] :
                                ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SY1923 ) ) @ SY1928 )
                                 != ( hAPP_val_option_val @ some_val @ SY1929 ) )
                                | ( SY1923 = SY1929 )
                                | ( SY1928 != SV346 ) )
                          | ~ ! [SY1930: $i,SY1931: $i] :
                                ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SY1923 ) ) @ SY1930 )
                                 != ( hAPP_val_option_val @ some_val @ SY1931 ) )
                                | ( SY1923 = SY1931 )
                                | ( ( hAPP_P2094403585on_val @ SV178 @ SY1930 )
                                  = ( hAPP_val_option_val @ some_val @ SY1931 ) ) ) ) )
              | ~ ~ ( ~ ! [SY1932: $i,SY1933: $i] :
                          ( ( SY1932 != SV346 )
                          | ( SY1923 != SY1933 )
                          | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SY1923 ) ) @ SY1932 )
                            = ( hAPP_val_option_val @ some_val @ SY1933 ) ) )
                    | ~ ! [SY1934: $i,SY1935: $i] :
                          ( ( SY1934 = SV346 )
                          | ( ( hAPP_P2094403585on_val @ SV178 @ SY1934 )
                           != ( hAPP_val_option_val @ some_val @ SY1935 ) )
                          | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SY1923 ) ) @ SY1934 )
                            = ( hAPP_val_option_val @ some_val @ SY1935 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1623]) ).

thf(1837,plain,
    ! [SV347: $i,SV179: $i] :
      ( ( ~ ( ~ ! [SY1936: $i,SY1937: $i] :
                  ( ( SV179 != SY1936 )
                  | ( SV347 != SY1937 )
                  | ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
                    = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1936 ) @ SY1937 ) ) )
            | ~ ~ ( ~ ! [SY1938: $i] :
                        ( ! [SY1939: $i] :
                            ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
                           != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1938 ) @ SY1939 ) )
                        | ( SV179 = SY1938 ) )
                  | ~ ! [SY1940: $i,SY1941: $i] :
                        ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
                         != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1940 ) @ SY1941 ) )
                        | ( SV347 = SY1941 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1624]) ).

thf(1838,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK8_A @ SX0 ) ) @ ( sK9_SY854 @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1625]) ).

thf(1839,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i,SX2: $i] :
                ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) )
            | ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( sK7_X1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1625]) ).

thf(1840,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( sK48_X1 @ SX0 ) ) )
            | ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1626]) ).

thf(1841,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK46_A @ SX0 ) ) @ ( sK47_SY878 @ SX0 ) ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1626]) ).

thf(1842,plain,
    ! [SV348: $i,SV180: $i] :
      ( ( ~ ( ~ ! [SY1942: $i,SY1943: $i] :
                  ( ( SY1942 != SY1943 )
                  | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV180 @ SY1943 @ SV348 ) @ SY1942 )
                    = SV348 ) )
            | ~ ! [SY1944: $i,SY1945: $i] :
                  ( ( SY1944 = SY1945 )
                  | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV180 @ SY1945 @ SV348 ) @ SY1944 )
                    = ( hAPP_P2094403585on_val @ SV180 @ SY1944 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1627]) ).

thf(1843,plain,
    ! [SV181: $i] :
      ( ( ~ ! [SY1479: $i,SY1480: $i] :
              ( ~ ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV181 @ SY1479 ) @ SY1480 ) )
              | ( hBOOL @ ( d_list_char @ SY1479 @ SY1480 ) ) )
        | ~ ! [SY1481: $i,SY1482: $i] :
              ( ~ ( hBOOL @ ( d_list_char @ SY1481 @ SY1482 ) )
              | ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV181 @ SY1481 ) @ SY1482 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1628]) ).

thf(1844,plain,
    ! [SV349: $i,SV182: $i] :
      ( ( ~ ( ~ ! [SY1946: $i] :
                  ( ! [SY1947: $i] :
                      ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV182 ) @ SV349 )
                     != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1946 ) @ SY1947 ) )
                  | ( SV182 = SY1946 ) )
            | ~ ! [SY1948: $i,SY1949: $i] :
                  ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV182 ) @ SV349 )
                   != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1948 ) @ SY1949 ) )
                  | ( SV349 = SY1949 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1629]) ).

thf(1845,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( member840932460on_val @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P1708370145l_bool @ SX1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1630]) ).

thf(1846,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( member840932460on_val @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1630]) ).

thf(1847,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SX1 @ SX0 ) ) @ ( sK33_SY865 @ SX1 @ SX0 ) ) @ SX1 ) )
                    | ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SX1 @ SX0 ) ) @ ( sK33_SY865 @ SX1 @ SX0 ) ) @ SX0 ) ) )
                | ~ ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SX1 @ SX0 ) ) @ ( sK33_SY865 @ SX1 @ SX0 ) ) @ SX1 ) )
                    | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SX1 @ SX0 ) ) @ ( sK33_SY865 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
            | ( SX1 = SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1631]) ).

thf(1848,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 != SX0 )
            | ~ ( ~ ! [SX2: $i,SX3: $i] :
                      ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX1 ) )
                      | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
                | ~ ! [SX2: $i,SX3: $i] :
                      ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX0 ) )
                      | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1631]) ).

thf(1849,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( ( val_list_char @ SX0 )
             != ( val_list_char @ SX1 ) )
            | ( SX0 = SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1632]) ).

thf(1850,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( ( val_list_char @ SX0 )
              = ( val_list_char @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1632]) ).

thf(1851,plain,
    ! [SV350: $i,SV183: $i] :
      ( ( ~ ( ~ ! [SY1950: $i,SY1951: $i] :
                  ( ( SV183 != SY1950 )
                  | ( SV350 != SY1951 )
                  | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
                    = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1950 ) @ SY1951 ) ) )
            | ~ ~ ( ~ ! [SY1952: $i] :
                        ( ! [SY1953: $i] :
                            ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
                           != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1952 ) @ SY1953 ) )
                        | ( SV183 = SY1952 ) )
                  | ~ ! [SY1954: $i,SY1955: $i] :
                        ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
                         != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1954 ) @ SY1955 ) )
                        | ( SV350 = SY1955 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1633]) ).

thf(1852,plain,
    ! [SV184: $i] :
      ( ( ~ ! [SY1495: $i,SY1496: $i] :
              ( ( ( fun_up1149430426on_val @ SV184 @ SY1495 @ SY1496 )
               != SV184 )
              | ( ( hAPP_l207779698on_val @ SV184 @ SY1495 )
                = SY1496 ) )
        | ~ ! [SY1497: $i,SY1498: $i] :
              ( ( ( hAPP_l207779698on_val @ SV184 @ SY1497 )
               != SY1498 )
              | ( ( fun_up1149430426on_val @ SV184 @ SY1497 @ SY1498 )
                = SV184 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1634]) ).

thf(1853,plain,
    ! [SV351: $i,SV185: $i] :
      ( ( ~ ( ~ ! [SY1956: $i,SY1957: $i] :
                  ( ( SY1957 != SY1956 )
                  | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV185 @ SY1956 @ SV351 ) @ SY1957 )
                    = SV351 ) )
            | ~ ! [SY1958: $i,SY1959: $i] :
                  ( ( SY1959 = SY1958 )
                  | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV185 @ SY1958 @ SV351 ) @ SY1959 )
                    = ( hAPP_P2094403585on_val @ SV185 @ SY1959 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1635]) ).

thf(1854,plain,
    ! [SV352: $i,SV186: $i] :
      ( ( ~ ( ~ ! [SY1960: $i,SY1961: $i] :
                  ( ( SV186 != SY1960 )
                  | ( SV352 != SY1961 )
                  | ( ( lAss_list_char @ SV186 @ SV352 )
                    = ( lAss_list_char @ SY1960 @ SY1961 ) ) )
            | ~ ~ ( ~ ! [SY1962: $i] :
                        ( ! [SY1963: $i] :
                            ( ( lAss_list_char @ SV186 @ SV352 )
                           != ( lAss_list_char @ SY1962 @ SY1963 ) )
                        | ( SV186 = SY1962 ) )
                  | ~ ! [SY1964: $i,SY1965: $i] :
                        ( ( ( lAss_list_char @ SV186 @ SV352 )
                         != ( lAss_list_char @ SY1964 @ SY1965 ) )
                        | ( SV352 = SY1965 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1636]) ).

thf(1855,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( member1417904245al_val @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P943837928l_bool @ SX1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1637]) ).

thf(1856,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_P943837928l_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( member1417904245al_val @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1637]) ).

thf(1857,plain,
    ! [SV353: $i,SV187: $i] :
      ( ( ! [SY1966: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ! [SY1967: $i] :
                                ( ! [SY1968: $i] :
                                    ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SY1966 ) ) @ SY1967 )
                                   != ( hAPP_val_option_val @ some_val @ SY1968 ) )
                                | ( SY1967 = SV353 )
                                | ( SY1967 != SV353 ) )
                          | ~ ! [SY1969: $i,SY1970: $i] :
                                ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SY1966 ) ) @ SY1969 )
                                 != ( hAPP_val_option_val @ some_val @ SY1970 ) )
                                | ( SY1969 = SV353 )
                                | ( ( hAPP_l207779698on_val @ SV187 @ SY1969 )
                                  = ( hAPP_val_option_val @ some_val @ SY1970 ) ) ) )
                    | ~ ~ ( ~ ! [SY1971: $i,SY1972: $i] :
                                ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SY1966 ) ) @ SY1971 )
                                 != ( hAPP_val_option_val @ some_val @ SY1972 ) )
                                | ( SY1966 = SY1972 )
                                | ( SY1971 != SV353 ) )
                          | ~ ! [SY1973: $i,SY1974: $i] :
                                ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SY1966 ) ) @ SY1973 )
                                 != ( hAPP_val_option_val @ some_val @ SY1974 ) )
                                | ( SY1966 = SY1974 )
                                | ( ( hAPP_l207779698on_val @ SV187 @ SY1973 )
                                  = ( hAPP_val_option_val @ some_val @ SY1974 ) ) ) ) )
              | ~ ~ ( ~ ! [SY1975: $i,SY1976: $i] :
                          ( ( SY1975 != SV353 )
                          | ( SY1966 != SY1976 )
                          | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SY1966 ) ) @ SY1975 )
                            = ( hAPP_val_option_val @ some_val @ SY1976 ) ) )
                    | ~ ! [SY1977: $i,SY1978: $i] :
                          ( ( SY1977 = SV353 )
                          | ( ( hAPP_l207779698on_val @ SV187 @ SY1977 )
                           != ( hAPP_val_option_val @ some_val @ SY1978 ) )
                          | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SY1966 ) ) @ SY1977 )
                            = ( hAPP_val_option_val @ some_val @ SY1978 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1638]) ).

thf(1858,plain,
    ! [SV354: $i,SV190: $i,SV3: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV3 @ SV190 )
         != ( hAPP_val_option_val @ some_val @ SV354 ) )
        | ( ( fun_up1149430426on_val @ SV3 @ SV190 @ ( hAPP_val_option_val @ some_val @ SV354 ) )
          = SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1641]) ).

thf(1859,plain,
    ! [SV355: $i,SV191: $i,SV4: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ SV4 @ SV191 )
         != ( hAPP_val_option_val @ some_val @ SV355 ) )
        | ( ( fun_up204312361on_val @ SV4 @ SV191 @ ( hAPP_val_option_val @ some_val @ SV355 ) )
          = SV4 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1642]) ).

thf(1860,plain,
    ! [SV356: $i,SV192: $i,SV5: $i] :
      ( ( ! [SY1979: $i,SY1980: $i] :
            ( ( ( fun_up1149430426on_val @ SV5 @ SV192 @ ( hAPP_val_option_val @ some_val @ SV356 ) )
             != ( fun_up1149430426on_val @ SY1979 @ SV192 @ ( hAPP_val_option_val @ some_val @ SY1980 ) ) )
            | ( SV356 = SY1980 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1643]) ).

thf(1861,plain,
    ! [SV357: $i,SV193: $i,SV6: $i] :
      ( ( ! [SY1981: $i,SY1982: $i] :
            ( ( ( fun_up204312361on_val @ SV6 @ SV193 @ ( hAPP_val_option_val @ some_val @ SV357 ) )
             != ( fun_up204312361on_val @ SY1981 @ SV193 @ ( hAPP_val_option_val @ some_val @ SY1982 ) ) )
            | ( SV357 = SY1982 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1644]) ).

thf(1862,plain,
    ! [SV7: $i,SV194: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV194 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK59_A @ SV194 @ SV7 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK60_SY887 @ SV194 @ SV7 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK61_SY890 @ SV194 @ SV7 ) ) @ ( sK62_SY892 @ SV194 @ SV7 ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV194 @ SV7 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1645]) ).

thf(1863,plain,
    ! [SV358: $i,SV195: $i,SV9: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV9 @ SV195 )
         != SV358 )
        | ( ( fun_up1149430426on_val @ SV9 @ SV195 @ SV358 )
          = SV9 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1646]) ).

thf(1864,plain,
    ! [SV196: $i,SV10: $i,SV359: $i] :
      ( ( ! [SY1983: $i] :
            ( ( SV359 = SY1983 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV10 @ SY1983 @ SV196 ) @ SV359 )
              = ( hAPP_l207779698on_val @ SV10 @ SV359 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1647]) ).

thf(1865,plain,
    ! [SV360: $i,SV197: $i,SV11: $i] :
      ( ( ! [SY1984: $i,SY1985: $i] :
            ( ( SY1984 = SY1985 )
            | ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SY1984 @ SV197 ) @ SY1985 @ SV360 )
              = ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SY1985 @ SV360 ) @ SY1984 @ SV197 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1648]) ).

thf(1866,plain,
    ! [SV361: $i,SV198: $i,SV12: $i] :
      ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV12 @ SV198 @ SV361 ) @ SV198 )
        = SV361 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1649]) ).

thf(1867,plain,
    ! [SV362: $i,SV199: $i,SV13: $i] :
      ( ( ! [SY1986: $i] :
            ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV13 @ SV199 @ SV362 ) @ SV199 @ SY1986 )
            = ( fun_up1149430426on_val @ SV13 @ SV199 @ SY1986 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1650]) ).

thf(1868,plain,
    ! [SV17: $i,SV201: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV201 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK37_A @ SV201 @ SV17 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK38_SY869 @ SV201 @ SV17 ) ) @ ( sK39_SY871 @ SV201 @ SV17 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV201 @ SV17 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1652]) ).

thf(1869,plain,
    ! [SV18: $i,SV202: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV202 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK34_A @ SV202 @ SV18 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK35_SY866 @ SV202 @ SV18 ) ) @ ( sK36_SY868 @ SV202 @ SV18 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV202 @ SV18 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1653]) ).

thf(1870,plain,
    ! [SV25: $i,SV363: $i,SV203: $i] :
      ( ( ! [SY1987: $i] :
            ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV203 @ SV363 @ SY1987 ) )
            | ~ ( hBOOL @ ( widen_2090681816t_char @ SV203 @ SY1987 @ SV25 ) )
            | ( hBOOL @ ( widen_2090681816t_char @ SV203 @ SV363 @ SV25 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1654]) ).

thf(1871,plain,
    ! [SV364: $i,SV204: $i,SV26: $i] :
      ( ( ! [SY1988: $i,SY1989: $i] :
            ( ! [SY1990: $i,SY1991: $i] :
                ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV26 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV204 ) @ SV364 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1988 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1989 ) @ SY1990 ) ) ) @ ( red @ SY1991 ) ) )
            | ( hBOOL @ ( hext @ SV204 @ SY1989 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1655]) ).

thf(1872,plain,
    ! [SV27: $i,SV365: $i,SV205: $i] :
      ( ( ! [SY1992: $i,SY1993: $i,SY1994: $i,SY1995: $i,SY1996: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV205 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV365 ) @ SY1992 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1993 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1994 ) @ SY1995 ) ) ) @ ( red @ SY1996 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV205 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV365 ) @ ( map_ad325961431ar_val @ SV27 @ SY1992 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1993 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1994 ) @ ( map_ad325961431ar_val @ SV27 @ SY1995 ) ) ) ) @ ( red @ SY1996 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1656]) ).

thf(1873,plain,
    ! [SV366: $i,SV206: $i,SV28: $i] :
      ( ( ! [SY1997: $i,SY1998: $i] :
            ( ~ ( hBOOL @ ( hext @ SY1997 @ SY1998 ) )
            | ~ ( hBOOL @ ( conf_P373316194t_char @ SV28 @ SY1997 @ SV206 @ SV366 ) )
            | ( hBOOL @ ( conf_P373316194t_char @ SV28 @ SY1998 @ SV206 @ SV366 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1657]) ).

thf(1874,plain,
    ! [SV29: $i,SV367: $i,SV207: $i] :
      ( ( ! [SY1999: $i,SY2000: $i] :
            ( ~ ( hBOOL @ ( conf_P373316194t_char @ SV207 @ SV367 @ SY1999 @ SY2000 ) )
            | ~ ( hBOOL @ ( widen_2090681816t_char @ SV207 @ SY2000 @ SV29 ) )
            | ( hBOOL @ ( conf_P373316194t_char @ SV207 @ SV367 @ SY1999 @ SV29 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1658]) ).

thf(1875,plain,
    ! [SV368: $i,SV208: $i,SV30: $i] :
      ( ( ! [SY2001: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( val_list_char @ SV30 ) @ SV208 ) ) @ SV368 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV208 ) @ SV368 ) ) @ ( red @ SY2001 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1659]) ).

thf(1876,plain,
    ! [SV369: $i,SV209: $i,SV31: $i] :
      ( ( ! [SY2002: $i,SY2003: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV31 @ SV209 @ ( val_list_char @ SV369 ) ) ) @ SY2002 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV369 ) ) @ SY2002 ) ) @ ( red @ SY2003 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1660]) ).

thf(1877,plain,
    ! [SV32: $i,SV370: $i,SV210: $i] :
      ( ( ! [SY2004: $i] :
            ( ( ( hAPP_P2094403585on_val @ SV210 @ SV370 )
             != ( hAPP_val_option_val @ some_val @ SY2004 ) )
            | ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ SV32 @ SV210 ) @ SV370 )
              = ( hAPP_val_option_val @ some_val @ SY2004 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1661]) ).

thf(1878,plain,
    ! [SV33: $i,SV371: $i,SV211: $i] :
      ( ( ! [SY2005: $i] :
            ( ( ( hAPP_l207779698on_val @ SV211 @ SV371 )
             != ( hAPP_val_option_val @ some_val @ SY2005 ) )
            | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV33 @ SV211 ) @ SV371 )
              = ( hAPP_val_option_val @ some_val @ SY2005 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1662]) ).

thf(1879,plain,
    ! [SV34: $i,SV372: $i,SV212: $i] :
      ( ( ! [SY2006: $i,SY2007: $i,SY2008: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV212 ) @ SV372 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2006 ) @ SY2007 ) ) @ ( red @ SY2008 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV34 @ SV212 ) ) @ SV372 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV34 @ SY2006 ) ) @ SY2007 ) ) @ ( red @ SY2008 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1663]) ).

thf(1880,plain,
    ! [SV35: $i,SV373: $i,SV213: $i] :
      ( ( ! [SY2009: $i,SY2010: $i,SY2011: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV213 ) @ SV373 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2009 ) @ SY2010 ) ) @ ( red @ SY2011 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV213 @ SV35 ) ) @ SV373 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY2009 @ SV35 ) ) @ SY2010 ) ) @ ( red @ SY2011 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1664]) ).

thf(1881,plain,
    ! [SV374: $i,SV214: $i,SV36: $i] :
      ( ( ! [SY2012: $i] :
            ( ( map_ad325961431ar_val @ SV36 @ ( fun_up1149430426on_val @ SV214 @ SV374 @ ( hAPP_val_option_val @ some_val @ SY2012 ) ) )
            = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ SV36 @ SV214 ) @ SV374 @ ( hAPP_val_option_val @ some_val @ SY2012 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1665]) ).

thf(1882,plain,
    ! [SV375: $i,SV215: $i,SV37: $i] :
      ( ( ! [SY2013: $i] :
            ( ( map_ad1185064968ar_val @ SV37 @ ( fun_up204312361on_val @ SV215 @ SV375 @ ( hAPP_val_option_val @ some_val @ SY2013 ) ) )
            = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ SV37 @ SV215 ) @ SV375 @ ( hAPP_val_option_val @ some_val @ SY2013 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1666]) ).

thf(1883,plain,
    ! [SV216: $i,SV38: $i,SV376: $i] :
      ( ( ! [SY2014: $i,SY2015: $i,SY2016: $i] :
            ( ! [SY2017: $i] :
                ~ ( hBOOL @ ( wTrt @ SV376 @ SY2014 @ SY2015 @ SY2016 @ SY2017 ) )
            | ~ ( hBOOL @ ( wTrt @ SV376 @ SY2014 @ SY2015 @ SV38 @ SV216 ) )
            | ( hBOOL @ ( wTrt @ SV376 @ SY2014 @ SY2015 @ ( seq_list_char @ SY2016 @ SV38 ) @ SV216 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1667]) ).

thf(1884,plain,
    ! [SV40: $i,SV377: $i,SV217: $i] :
      ( ( ~ ( hBOOL @ ( hext @ SV217 @ SV377 ) )
        | ~ ( hBOOL @ ( hext @ SV377 @ SV40 ) )
        | ( hBOOL @ ( hext @ SV217 @ SV40 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1668]) ).

thf(1885,plain,
    ! [SV41: $i,SV378: $i,SV218: $i] :
      ( ( ! [SY2018: $i,SY2019: $i,SY2020: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV218 @ SV378 @ SY2018 @ SY2019 @ SY2020 ) )
            | ~ ( hBOOL @ ( hext @ SV378 @ SV41 ) )
            | ( hBOOL @ ( wTrt @ SV218 @ SV41 @ SY2018 @ SY2019 @ SY2020 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1669]) ).

thf(1886,plain,
    ! [SV43: $i,SV379: $i,SV220: $i] :
      ( ( ! [SY2021: $i,SY2022: $i,SY2023: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV220 ) @ SV379 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2021 ) @ SY2022 ) ) @ ( transi2024712006on_val @ ( red @ SY2023 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV220 @ SV43 ) ) @ SV379 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY2021 @ SV43 ) ) @ SY2022 ) ) @ ( transi2024712006on_val @ ( red @ SY2023 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1671]) ).

thf(1887,plain,
    ! [SV44: $i,SV380: $i,SV221: $i] :
      ( ( ! [SY2024: $i,SY2025: $i,SY2026: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV221 ) @ SV380 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2024 ) @ SY2025 ) ) @ ( transi2024712006on_val @ ( red @ SY2026 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV44 @ SV221 ) ) @ SV380 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV44 @ SY2024 ) ) @ SY2025 ) ) @ ( transi2024712006on_val @ ( red @ SY2026 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1672]) ).

thf(1888,plain,
    ! [SV45: $i,SV381: $i,SV222: $i] :
      ( ( ! [SY2027: $i,SY2028: $i,SY2029: $i,SY2030: $i,SY2031: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV222 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV381 ) @ SY2027 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2028 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2029 ) @ SY2030 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2031 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV222 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV381 ) @ ( map_ad325961431ar_val @ SV45 @ SY2027 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2028 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2029 ) @ ( map_ad325961431ar_val @ SV45 @ SY2030 ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2031 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1673]) ).

thf(1889,plain,
    ! [SV382: $i,SV223: $i,SV46: $i] :
      ( ( ! [SY2032: $i,SY2033: $i,SY2034: $i,SY2035: $i,SY2036: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2032 ) @ SY2033 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2034 ) @ SY2035 ) ) @ ( red @ SY2036 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2032 @ SV46 @ SV223 @ SV382 ) ) @ SY2033 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2034 @ SV46 @ SV223 @ SV382 ) ) @ SY2035 ) ) @ ( red @ SY2036 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1674]) ).

thf(1890,plain,
    ! [SV383: $i,SV224: $i,SV47: $i] :
      ( ( ! [SY2037: $i,SY2038: $i,SY2039: $i,SY2040: $i,SY2041: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2037 ) @ SY2038 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2039 ) @ SY2040 ) ) @ ( red @ SY2041 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV47 ) @ SV224 @ SV383 @ SY2037 ) ) @ SY2038 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV47 ) @ SV224 @ SV383 @ SY2039 ) ) @ SY2040 ) ) @ ( red @ SY2041 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1675]) ).

thf(1891,plain,
    ! [SV384: $i,SV225: $i,SV48: $i] :
      ( ( ! [SY2042: $i,SY2043: $i,SY2044: $i,SY2045: $i,SY2046: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2042 ) @ SY2043 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2044 ) @ SY2045 ) ) @ ( transi2024712006on_val @ ( red @ SY2046 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2042 @ SV48 @ SV225 @ SV384 ) ) @ SY2043 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2044 @ SV48 @ SV225 @ SV384 ) ) @ SY2045 ) ) @ ( transi2024712006on_val @ ( red @ SY2046 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1676]) ).

thf(1892,plain,
    ! [SV226: $i,SV49: $i,SV385: $i] :
      ( ( ! [SY2047: $i,SY2048: $i,SY2049: $i,SY2050: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV385 ) @ SY2047 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2048 ) @ SY2049 ) ) @ ( red @ SY2050 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV385 @ SV49 @ SV226 ) ) @ SY2047 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY2048 @ SV49 @ SV226 ) ) @ SY2049 ) ) @ ( red @ SY2050 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1677]) ).

thf(1893,plain,
    ! [SV227: $i,SV50: $i,SV386: $i] :
      ( ( ! [SY2051: $i,SY2052: $i,SY2053: $i,SY2054: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV386 ) @ SY2051 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2052 ) @ SY2053 ) ) @ ( transi2024712006on_val @ ( red @ SY2054 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV386 @ SV50 @ SV227 ) ) @ SY2051 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY2052 @ SV50 @ SV227 ) ) @ SY2053 ) ) @ ( transi2024712006on_val @ ( red @ SY2054 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1678]) ).

thf(1894,plain,
    ! [SV387: $i,SV228: $i,SV51: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( throw_list_char @ SV51 ) ) ) @ SV228 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV51 ) ) @ SV228 ) ) @ ( red @ SV387 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1679]) ).

thf(1895,plain,
    ! [SV388: $i,SV229: $i,SV52: $i] :
      ( ( ! [SY2055: $i,SY2056: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV52 ) @ SV229 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV388 ) @ SY2055 ) ) @ ( red @ SY2056 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV52 ) ) @ SV229 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV388 ) ) @ SY2055 ) ) @ ( red @ SY2056 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1680]) ).

thf(1896,plain,
    ! [SV389: $i,SV230: $i,SV53: $i] :
      ( ( ! [SY2057: $i,SY2058: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV53 ) @ SV230 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV389 ) @ SY2057 ) ) @ ( transi2024712006on_val @ ( red @ SY2058 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV53 ) ) @ SV230 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV389 ) ) @ SY2057 ) ) @ ( transi2024712006on_val @ ( red @ SY2058 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1681]) ).

thf(1897,plain,
    ! [SV390: $i,SV231: $i,SV54: $i] :
      ( ( ! [SY2059: $i,SY2060: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV54 ) @ SV231 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV390 ) ) @ SY2059 ) ) @ ( transi2024712006on_val @ ( red @ SY2060 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV54 ) ) @ SV231 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV390 ) ) @ SY2059 ) ) @ ( transi2024712006on_val @ ( red @ SY2060 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1682]) ).

thf(1898,plain,
    ! [SV391: $i,SV232: $i,SV55: $i] :
      ( ( ! [SY2061: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV55 @ ( throw_list_char @ SV232 ) ) ) @ SV391 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV232 ) ) @ SV391 ) ) @ ( red @ SY2061 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1683]) ).

thf(1899,plain,
    ! [SV392: $i,SV233: $i,SV56: $i] :
      ( ( ! [SY2062: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( throw_list_char @ SV56 ) @ SV233 ) ) @ SV392 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV56 ) ) @ SV392 ) ) @ ( red @ SY2062 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1684]) ).

thf(1900,plain,
    ! [SV393: $i,SV234: $i,SV57: $i] :
      ( ( ! [SY2063: $i,SY2064: $i,SY2065: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( throw_list_char @ SV57 ) @ SV234 @ SV393 @ SY2063 ) ) @ SY2064 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV57 ) ) @ SY2064 ) ) @ ( red @ SY2065 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1685]) ).

thf(1901,plain,
    ! [SV394: $i,SV235: $i,SV58: $i] :
      ( ( ! [SY2066: $i,SY2067: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ ( throw_list_char @ SV58 ) @ SV235 @ SV394 ) ) @ SY2066 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV58 ) ) @ SY2066 ) ) @ ( red @ SY2067 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1686]) ).

thf(1902,plain,
    ! [SV395: $i,SV236: $i,SV59: $i] :
      ( ( ! [SY2068: $i,SY2069: $i,SY2070: $i,SY2071: $i,SY2072: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2068 ) @ SY2069 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2070 ) @ SY2071 ) ) @ ( red @ SY2072 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY2068 @ SV59 @ SV236 @ SV395 ) ) @ SY2069 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY2070 @ SV59 @ SV236 @ SV395 ) ) @ SY2071 ) ) @ ( red @ SY2072 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1687]) ).

thf(1903,plain,
    ! [SV396: $i,SV237: $i,SV60: $i] :
      ( ( ! [SY2073: $i,SY2074: $i,SY2075: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ ( val_list_char @ SV60 ) @ SV237 @ SV396 @ SY2073 ) ) @ SY2074 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV60 ) ) @ SY2074 ) ) @ ( red @ SY2075 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1688]) ).

thf(1904,plain,
    ! [SV397: $i,SV238: $i,SV61: $i] :
      ( ( ! [SY2076: $i,SY2077: $i,SY2078: $i,SY2079: $i,SY2080: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2076 ) @ SY2077 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2078 ) @ SY2079 ) ) @ ( transi2024712006on_val @ ( red @ SY2080 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY2076 @ SV61 @ SV238 @ SV397 ) ) @ SY2077 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY2078 @ SV61 @ SV238 @ SV397 ) ) @ SY2079 ) ) @ ( transi2024712006on_val @ ( red @ SY2080 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1689]) ).

thf(1905,plain,
    ! [SV62: $i,SV398: $i,SV239: $i] :
      ( ( ! [SY2081: $i,SY2082: $i,SY2083: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV239 ) @ SV398 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2081 ) @ SY2082 ) ) @ ( red @ SY2083 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV62 @ SV239 ) ) @ SV398 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV62 @ SY2081 ) ) @ SY2082 ) ) @ ( red @ SY2083 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1690]) ).

thf(1906,plain,
    ! [SV399: $i,SV240: $i,SV63: $i] :
      ( ( ! [SY2084: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV63 @ ( throw_list_char @ SV240 ) ) ) @ SV399 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV240 ) ) @ SV399 ) ) @ ( red @ SY2084 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1691]) ).

thf(1907,plain,
    ! [SV64: $i,SV400: $i,SV241: $i] :
      ( ( ! [SY2085: $i,SY2086: $i,SY2087: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV241 ) @ SV400 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2085 ) @ SY2086 ) ) @ ( transi2024712006on_val @ ( red @ SY2087 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV64 @ SV241 ) ) @ SV400 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV64 @ SY2085 ) ) @ SY2086 ) ) @ ( transi2024712006on_val @ ( red @ SY2087 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1692]) ).

thf(1908,plain,
    ! [SV242: $i,SV65: $i,SV401: $i] :
      ( ( ! [SY2088: $i,SY2089: $i,SY2090: $i,SY2091: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV401 ) @ SY2088 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2089 ) @ SY2090 ) ) @ ( red @ SY2091 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV401 @ SV65 @ SV242 ) ) @ SY2088 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY2089 @ SV65 @ SV242 ) ) @ SY2090 ) ) @ ( red @ SY2091 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1693]) ).

thf(1909,plain,
    ! [SV243: $i,SV66: $i,SV402: $i] :
      ( ( ! [SY2092: $i,SY2093: $i,SY2094: $i,SY2095: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV402 ) @ SY2092 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2093 ) @ SY2094 ) ) @ ( red @ SY2095 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV66 ) @ SV243 @ SV402 ) ) @ SY2092 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV66 ) @ SV243 @ SY2093 ) ) @ SY2094 ) ) @ ( red @ SY2095 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1694]) ).

thf(1910,plain,
    ! [SV403: $i,SV244: $i,SV67: $i] :
      ( ( ! [SY2096: $i,SY2097: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( throw_list_char @ SV67 ) @ SV244 @ SV403 ) ) @ SY2096 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV67 ) ) @ SY2096 ) ) @ ( red @ SY2097 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1695]) ).

thf(1911,plain,
    ! [SV245: $i,SV68: $i,SV404: $i] :
      ( ( ! [SY2098: $i,SY2099: $i,SY2100: $i,SY2101: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV404 ) @ SY2098 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2099 ) @ SY2100 ) ) @ ( transi2024712006on_val @ ( red @ SY2101 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV404 @ SV68 @ SV245 ) ) @ SY2098 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY2099 @ SV68 @ SV245 ) ) @ SY2100 ) ) @ ( transi2024712006on_val @ ( red @ SY2101 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1696]) ).

thf(1912,plain,
    ! [SV405: $i,SV246: $i,SV70: $i] :
      ( ( ! [SY2102: $i] : ( is_bool @ ( conf_P373316194t_char @ SV70 @ SV246 @ SV405 @ SY2102 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1697]) ).

thf(1913,plain,
    ! [SV406: $i,SV250: $i,SV74: $i] :
      ( ( is_bool @ ( widen_2090681816t_char @ SV74 @ SV250 @ SV406 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1701]) ).

thf(1914,plain,
    ! [SV407: $i,SV252: $i,SV77: $i] :
      ( ( ! [SY2103: $i,SY2104: $i] : ( is_bool @ ( wTrt @ SV77 @ SV252 @ SV407 @ SY2103 @ SY2104 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1703]) ).

thf(1915,plain,
    ! [SV78: $i,SV253: $i] :
      ( ( ( ~ ( is_bool @ SV253 ) )
        = $true )
      | ( ( is_bool @ ( hAPP_bool_bool @ SV78 @ SV253 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1704]) ).

thf(1916,plain,
    ! [SV408: $i,SV278: $i,SV103: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ SV103 @ SV278 )
         != SV408 )
        | ( ( fun_up204312361on_val @ SV103 @ SV278 @ SV408 )
          = SV103 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1729]) ).

thf(1917,plain,
    ! [SV279: $i,SV104: $i,SV409: $i] :
      ( ( ! [SY2105: $i] :
            ( ( SV409 = SY2105 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV104 @ SY2105 @ SV279 ) @ SV409 )
              = ( hAPP_P2094403585on_val @ SV104 @ SV409 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1730]) ).

thf(1918,plain,
    ! [SV410: $i,SV280: $i,SV105: $i] :
      ( ( ! [SY2106: $i,SY2107: $i] :
            ( ( SY2106 = SY2107 )
            | ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV105 @ SY2106 @ SV280 ) @ SY2107 @ SV410 )
              = ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV105 @ SY2107 @ SV410 ) @ SY2106 @ SV280 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1731]) ).

thf(1919,plain,
    ! [SV411: $i,SV281: $i,SV106: $i] :
      ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV106 @ SV281 @ SV411 ) @ SV281 )
        = SV411 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1732]) ).

thf(1920,plain,
    ! [SV412: $i,SV282: $i,SV107: $i] :
      ( ( ! [SY2108: $i] :
            ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV107 @ SV282 @ SV412 ) @ SV282 @ SY2108 )
            = ( fun_up204312361on_val @ SV107 @ SV282 @ SY2108 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1733]) ).

thf(1921,plain,
    ! [SV108: $i,SV413: $i,SV283: $i] :
      ( ( ~ ( hBOOL @ ( member1251428284t_char @ SV283 @ ( dom_Pr695701035ar_val @ SV413 ) ) )
        | ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ SV108 @ SV413 ) @ SV283 )
          = ( hAPP_P2094403585on_val @ SV413 @ SV283 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1734]) ).

thf(1922,plain,
    ! [SV109: $i,SV414: $i,SV284: $i] :
      ( ( ~ ( hBOOL @ ( member_list_char @ SV284 @ ( dom_list_char_val @ SV414 ) ) )
        | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV109 @ SV414 ) @ SV284 )
          = ( hAPP_l207779698on_val @ SV414 @ SV284 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1735]) ).

thf(1923,plain,
    ! [SV110: $i,SV415: $i,SV285: $i] :
      ( ( ( hBOOL @ ( member1251428284t_char @ SV285 @ ( dom_Pr695701035ar_val @ SV415 ) ) )
        | ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ SV110 @ SV415 ) @ SV285 )
          = ( hAPP_P2094403585on_val @ SV110 @ SV285 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1736]) ).

thf(1924,plain,
    ! [SV111: $i,SV416: $i,SV286: $i] :
      ( ( ( hBOOL @ ( member_list_char @ SV286 @ ( dom_list_char_val @ SV416 ) ) )
        | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV111 @ SV416 ) @ SV286 )
          = ( hAPP_l207779698on_val @ SV111 @ SV286 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1737]) ).

thf(1925,plain,
    ! [SV112: $i,SV417: $i,SV287: $i] :
      ( ( ( hBOOL @ ( member1251428284t_char @ SV287 @ ( dom_Pr695701035ar_val @ SV417 ) ) )
        | ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ SV417 @ SV112 ) @ SV287 )
          = ( hAPP_P2094403585on_val @ SV112 @ SV287 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1738]) ).

thf(1926,plain,
    ! [SV113: $i,SV418: $i,SV288: $i] :
      ( ( ( hBOOL @ ( member_list_char @ SV288 @ ( dom_list_char_val @ SV418 ) ) )
        | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV418 @ SV113 ) @ SV288 )
          = ( hAPP_l207779698on_val @ SV113 @ SV288 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1739]) ).

thf(1927,plain,
    ! [SV419: $i,SV289: $i,SV114: $i] :
      ( ( ( map_ad1185064968ar_val @ SV114 @ ( map_ad1185064968ar_val @ SV289 @ SV419 ) )
        = ( map_ad1185064968ar_val @ ( map_ad1185064968ar_val @ SV114 @ SV289 ) @ SV419 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1740]) ).

thf(1928,plain,
    ! [SV420: $i,SV290: $i,SV115: $i] :
      ( ( ( map_ad325961431ar_val @ SV115 @ ( map_ad325961431ar_val @ SV290 @ SV420 ) )
        = ( map_ad325961431ar_val @ ( map_ad325961431ar_val @ SV115 @ SV290 ) @ SV420 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1741]) ).

thf(1929,plain,
    ! [SV421: $i,SV291: $i,SV116: $i] :
      ( ( ! [SY2109: $i,SY2110: $i,SY2111: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV116 @ SV291 @ ( seq_list_char @ ( lAss_list_char @ SV116 @ ( val_list_char @ SV421 ) ) @ ( val_list_char @ SY2109 ) ) ) ) @ SY2110 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY2109 ) ) @ SY2110 ) ) @ ( red @ SY2111 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1742]) ).

thf(1930,plain,
    ! [SV292: $i,SV117: $i,SV422: $i] :
      ( ( ! [SY2112: $i] :
            ( ( hBOOL @ ( member1251428284t_char @ SV422 @ ( dom_Pr695701035ar_val @ SY2112 ) ) )
            | ( ( map_ad1185064968ar_val @ ( fun_up204312361on_val @ SV117 @ SV422 @ ( hAPP_val_option_val @ some_val @ SV292 ) ) @ SY2112 )
              = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ SV117 @ SY2112 ) @ SV422 @ ( hAPP_val_option_val @ some_val @ SV292 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1743]) ).

thf(1931,plain,
    ! [SV293: $i,SV118: $i,SV423: $i] :
      ( ( ! [SY2113: $i] :
            ( ( hBOOL @ ( member_list_char @ SV423 @ ( dom_list_char_val @ SY2113 ) ) )
            | ( ( map_ad325961431ar_val @ ( fun_up1149430426on_val @ SV118 @ SV423 @ ( hAPP_val_option_val @ some_val @ SV293 ) ) @ SY2113 )
              = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ SV118 @ SY2113 ) @ SV423 @ ( hAPP_val_option_val @ some_val @ SV293 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1744]) ).

thf(1932,plain,
    ! [SV294: $i,SV119: $i] :
      ( ( ( ! [SY1730: $i] :
              ( ( hAPP_P2094403585on_val @ SV119 @ SV294 )
             != ( hAPP_val_option_val @ some_val @ SY1730 ) ) )
        = $true )
      | ( ( hBOOL @ ( member1251428284t_char @ SV294 @ ( dom_Pr695701035ar_val @ SV119 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1745]) ).

thf(1933,plain,
    ! [SV295: $i,SV120: $i] :
      ( ( ( ! [SY1731: $i] :
              ( ( hAPP_l207779698on_val @ SV120 @ SV295 )
             != ( hAPP_val_option_val @ some_val @ SY1731 ) ) )
        = $true )
      | ( ( hBOOL @ ( member_list_char @ SV295 @ ( dom_list_char_val @ SV120 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1746]) ).

thf(1934,plain,
    ! [SV121: $i,SV296: $i,SV424: $i] :
      ( ( ! [SY2114: $i,SY2115: $i,SY2116: $i,SY2117: $i,SY2118: $i,SY2119: $i,SY2120: $i,SY2121: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV424 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2114 ) @ ( fun_up1149430426on_val @ SY2115 @ SY2116 @ ( hAPP_val_option_val @ some_val @ SY2117 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2118 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2119 ) @ SY2120 ) ) ) @ ( red @ SY2121 ) ) )
            | ( ( hAPP_l207779698on_val @ SY2120 @ SY2116 )
             != ( hAPP_val_option_val @ some_val @ SV296 ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY2116 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SY2116 @ ( val_list_char @ SY2117 ) ) @ SV424 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2114 ) @ SY2115 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY2116 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SY2116 @ ( val_list_char @ SV296 ) ) @ SY2118 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2119 ) @ ( fun_up1149430426on_val @ SY2120 @ SY2116 @ ( hAPP_l207779698on_val @ SY2115 @ SY2116 ) ) ) ) ) @ ( red @ SY2121 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1747]) ).

thf(1935,plain,
    ! [SV425: $i,SV297: $i,SV122: $i] :
      ( ( ! [SY2122: $i,SY2123: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV122 @ ( val_list_char @ SV297 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV425 ) @ SY2122 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV425 ) @ ( fun_up1149430426on_val @ SY2122 @ SV122 @ ( hAPP_val_option_val @ some_val @ SV297 ) ) ) ) ) @ ( red @ SY2123 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1748]) ).

thf(1936,plain,
    ! [SV298: $i,SV123: $i] :
      ( ( ( ~ ( hBOOL @ ( member1251428284t_char @ SV123 @ ( dom_Pr695701035ar_val @ SV298 ) ) ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ SV298 @ SV123 )
          = ( hAPP_val_option_val @ some_val @ ( sK5_B_1 @ SV298 @ SV123 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1749]) ).

thf(1937,plain,
    ! [SV299: $i,SV124: $i] :
      ( ( ( ~ ( hBOOL @ ( member_list_char @ SV124 @ ( dom_list_char_val @ SV299 ) ) ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ SV299 @ SV124 )
          = ( hAPP_val_option_val @ some_val @ ( sK4_B_1 @ SV299 @ SV124 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1750]) ).

thf(1938,plain,
    ! [SV426: $i,SV300: $i,SV125: $i] :
      ( ( ! [SY2124: $i,SY2125: $i] :
            ( ( block_list_char @ SV125 @ SV300 @ SV426 )
           != ( lAss_list_char @ SY2124 @ SY2125 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1751]) ).

thf(1939,plain,
    ! [SV427: $i,SV301: $i,SV126: $i] :
      ( ( ( ( val_list_char @ SV126 )
         != ( seq_list_char @ SV301 @ SV427 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1752]) ).

thf(1940,plain,
    ! [SV428: $i,SV302: $i,SV127: $i] :
      ( ( ( ( val_list_char @ SV127 )
         != ( lAss_list_char @ SV302 @ SV428 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1753]) ).

thf(1941,plain,
    ! [SV429: $i,SV303: $i,SV128: $i] :
      ( ( ( ( seq_list_char @ SV128 @ SV303 )
         != ( val_list_char @ SV429 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1754]) ).

thf(1942,plain,
    ! [SV430: $i,SV304: $i,SV129: $i] :
      ( ( ( ( lAss_list_char @ SV129 @ SV304 )
         != ( val_list_char @ SV430 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1755]) ).

thf(1943,plain,
    ! [SV431: $i,SV305: $i,SV130: $i] :
      ( ( ! [SY2126: $i] :
            ( ( val_list_char @ SV130 )
           != ( block_list_char @ SV305 @ SV431 @ SY2126 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1756]) ).

thf(1944,plain,
    ! [SV432: $i,SV306: $i,SV131: $i] :
      ( ( ! [SY2127: $i] :
            ( ( block_list_char @ SV131 @ SV306 @ SV432 )
           != ( val_list_char @ SY2127 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1757]) ).

thf(1945,plain,
    ! [SV433: $i,SV307: $i,SV132: $i] :
      ( ( ! [SY2128: $i] :
            ( ( seq_list_char @ SV132 @ SV307 )
           != ( lAss_list_char @ SV433 @ SY2128 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1758]) ).

thf(1946,plain,
    ! [SV434: $i,SV308: $i,SV133: $i] :
      ( ( ! [SY2129: $i] :
            ( ( lAss_list_char @ SV133 @ SV308 )
           != ( seq_list_char @ SV434 @ SY2129 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1759]) ).

thf(1947,plain,
    ! [SV435: $i,SV309: $i,SV134: $i] :
      ( ( ! [SY2130: $i,SY2131: $i] :
            ( ( seq_list_char @ SV134 @ SV309 )
           != ( block_list_char @ SV435 @ SY2130 @ SY2131 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1760]) ).

thf(1948,plain,
    ! [SV436: $i,SV310: $i,SV135: $i] :
      ( ( ! [SY2132: $i,SY2133: $i] :
            ( ( lAss_list_char @ SV135 @ SV310 )
           != ( block_list_char @ SV436 @ SY2132 @ SY2133 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1761]) ).

thf(1949,plain,
    ! [SV437: $i,SV311: $i,SV136: $i] :
      ( ( ! [SY2134: $i,SY2135: $i] :
            ( ( block_list_char @ SV136 @ SV311 @ SV437 )
           != ( seq_list_char @ SY2134 @ SY2135 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1762]) ).

thf(1950,plain,
    ! [SV137: $i,SV438: $i,SV312: $i] :
      ( ( ! [SY2136: $i,SY2137: $i,SY2138: $i,SY2139: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV312 ) @ SV438 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY2136 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2137 ) @ SY2138 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2139 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV137 @ SV312 ) ) @ SV438 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2137 ) @ ( fun_up1149430426on_val @ SY2138 @ SV137 @ ( hAPP_val_option_val @ some_val @ SY2136 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2139 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1763]) ).

thf(1951,plain,
    ! [SV439: $i,SV313: $i,SV138: $i] :
      ( ( ! [SY2140: $i,SY2141: $i,SY2142: $i,SY2143: $i,SY2144: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2140 ) @ SY2141 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY2142 ) ) @ SY2143 ) ) @ ( transi2024712006on_val @ ( red @ SY2144 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV138 ) @ SY2143 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV439 ) ) @ ( transi2024712006on_val @ ( red @ SY2144 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY2140 @ SV138 ) ) @ SY2141 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV439 ) ) @ ( transi2024712006on_val @ ( red @ SY2144 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1764]) ).

thf(1952,plain,
    ! [SV139: $i,SV440: $i,SV314: $i] :
      ( ( ! [SY2145: $i,SY2146: $i,SY2147: $i,SY2148: $i,SY2149: $i,SY2150: $i,SY2151: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV314 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV440 ) @ ( fun_up1149430426on_val @ SY2145 @ SY2146 @ ( hAPP_val_option_val @ some_val @ SY2147 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2148 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2149 ) @ SY2150 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2151 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY2146 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SY2146 @ ( val_list_char @ SY2147 ) ) @ SV314 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV440 ) @ SY2145 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY2146 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SY2146 @ ( val_list_char @ ( the_val @ ( hAPP_l207779698on_val @ SY2150 @ SY2146 ) ) ) ) @ SY2148 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2149 ) @ ( fun_up1149430426on_val @ SY2150 @ SY2146 @ ( hAPP_l207779698on_val @ SY2145 @ SY2146 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2151 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1765]) ).

thf(1953,plain,
    ! [SV140: $i,SV441: $i,SV315: $i] :
      ( ( ! [SY2152: $i,SY2153: $i,SY2154: $i,SY2155: $i,SY2156: $i,SY2157: $i,SY2158: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV315 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ ( fun_up1149430426on_val @ SY2152 @ SY2153 @ ( hAPP_val_option_val @ some_val @ SY2154 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2155 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2156 ) @ SY2157 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2158 ) ) ) )
            | ~ ( hBOOL @ ( final_list_char @ SY2155 ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY2153 @ SV140 @ ( seq_list_char @ ( lAss_list_char @ SY2153 @ ( val_list_char @ SY2154 ) ) @ SV315 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ SY2152 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2155 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2156 ) @ ( fun_up1149430426on_val @ SY2157 @ SY2153 @ ( hAPP_l207779698on_val @ SY2152 @ SY2153 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2158 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1766]) ).

thf(1954,plain,
    ! [SV141: $i] :
      ( ( ( hBOOL @ ( wf_pro755087577t_char @ wf_J_mdecl @ SV141 ) )
        = $false )
      | ( ( hBOOL @ ( wf_pro755087577t_char @ wwf_J_mdecl @ SV141 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1767]) ).

thf(1955,plain,
    ! [SV442: $i,SV316: $i,SV142: $i] :
      ( ( ! [SY2159: $i,SY2160: $i,SY2161: $i,SY2162: $i,SY2163: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2159 ) @ SY2160 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2161 ) @ SY2162 ) ) @ ( transi2024712006on_val @ ( red @ SY2163 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV142 ) @ SV316 @ SV442 @ SY2159 ) ) @ SY2160 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV142 ) @ SV316 @ SV442 @ SY2161 ) ) @ SY2162 ) ) @ ( transi2024712006on_val @ ( red @ SY2163 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1768]) ).

thf(1956,plain,
    ! [SV443: $i,SV317: $i,SV143: $i] :
      ( ( ! [SY2164: $i,SY2165: $i,SY2166: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV143 @ SV317 @ ( seq_list_char @ ( lAss_list_char @ SV143 @ ( val_list_char @ SV443 ) ) @ ( throw_list_char @ ( val_list_char @ ( addr @ SY2164 ) ) ) ) ) ) @ SY2165 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ SY2164 ) ) ) ) @ SY2165 ) ) @ ( red @ SY2166 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1769]) ).

thf(1957,plain,
    ! [SV444: $i,SV318: $i,SV144: $i] :
      ( ( ! [SY2167: $i,SY2168: $i,SY2169: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV144 ) @ SV318 @ SV444 @ ( throw_list_char @ SY2167 ) ) ) @ SY2168 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2167 ) ) @ SY2168 ) ) @ ( red @ SY2169 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1770]) ).

thf(1958,plain,
    ! [SV145: $i,SV445: $i,SV319: $i] :
      ( ( ! [SY2170: $i,SY2171: $i,SY2172: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV319 ) @ SV445 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2170 ) ) @ SY2171 ) ) @ ( transi2024712006on_val @ ( red @ SY2172 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV145 @ SV319 ) ) @ SV445 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2170 ) ) @ SY2171 ) ) @ ( transi2024712006on_val @ ( red @ SY2172 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1771]) ).

thf(1959,plain,
    ! [SV146: $i,SV446: $i,SV320: $i] :
      ( ( ! [SY2173: $i,SY2174: $i,SY2175: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV320 ) @ SV446 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2173 ) ) @ SY2174 ) ) @ ( transi2024712006on_val @ ( red @ SY2175 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV320 @ SV146 ) ) @ SV446 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2173 ) ) @ SY2174 ) ) @ ( transi2024712006on_val @ ( red @ SY2175 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1772]) ).

thf(1960,plain,
    ! [SV447: $i,SV321: $i,SV147: $i] :
      ( ( ! [SY2176: $i,SY2177: $i,SY2178: $i,SY2179: $i,SY2180: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2176 ) @ SY2177 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2178 ) ) @ SY2179 ) ) @ ( transi2024712006on_val @ ( red @ SY2180 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2176 @ SV147 @ SV321 @ SV447 ) ) @ SY2177 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2178 ) ) @ SY2179 ) ) @ ( transi2024712006on_val @ ( red @ SY2180 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1773]) ).

thf(1961,plain,
    ! [SV322: $i,SV148: $i,SV448: $i] :
      ( ( ! [SY2181: $i,SY2182: $i,SY2183: $i,SY2184: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV448 ) @ SY2181 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2182 ) ) @ SY2183 ) ) @ ( transi2024712006on_val @ ( red @ SY2184 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV448 @ SV148 @ SV322 ) ) @ SY2181 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2182 ) ) @ SY2183 ) ) @ ( transi2024712006on_val @ ( red @ SY2184 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1774]) ).

thf(1962,plain,
    ! [SV323: $i,SV149: $i,SV449: $i] :
      ( ( ! [SY2185: $i,SY2186: $i,SY2187: $i,SY2188: $i,SY2189: $i,SY2190: $i,SY2191: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2187 ) @ SY2188 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY2189 ) ) @ SY2190 ) ) @ ( transi2024712006on_val @ ( red @ SY2191 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV449 ) @ SY2190 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2185 ) ) @ SY2186 ) ) @ ( transi2024712006on_val @ ( red @ SY2191 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2187 @ SV149 @ SV323 @ SV449 ) ) @ SY2188 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2185 ) ) @ SY2186 ) ) @ ( transi2024712006on_val @ ( red @ SY2191 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1775]) ).

thf(1963,plain,
    ! [SV450: $i,SV324: $i,SV150: $i] :
      ( ( ! [SY2192: $i,SY2193: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV150 @ SV324 @ ( throw_list_char @ ( val_list_char @ ( addr @ SV450 ) ) ) ) ) @ SY2192 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ SV450 ) ) ) ) @ SY2192 ) ) @ ( red @ SY2193 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1776]) ).

thf(1964,plain,
    ! [SV451: $i,SV325: $i,SV151: $i] :
      ( ( ! [SY2194: $i,SY2195: $i,SY2196: $i,SY2197: $i,SY2198: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2194 ) @ SY2195 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY2196 ) ) @ SY2197 ) ) @ ( transi2024712006on_val @ ( red @ SY2198 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY2194 @ SV151 @ SV325 @ SV451 ) ) @ SY2195 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY2196 ) ) @ SY2197 ) ) @ ( transi2024712006on_val @ ( red @ SY2198 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1777]) ).

thf(1965,plain,
    ! [SV152: $i,SV452: $i,SV326: $i] :
      ( ( ! [SY2199: $i,SY2200: $i,SY2201: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV326 ) @ SV452 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2199 ) ) @ SY2200 ) ) @ ( transi2024712006on_val @ ( red @ SY2201 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV152 @ SV326 ) ) @ SV452 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2199 ) ) @ SY2200 ) ) @ ( transi2024712006on_val @ ( red @ SY2201 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1778]) ).

thf(1966,plain,
    ! [SV153: $i,SV453: $i,SV327: $i] :
      ( ( ! [SY2202: $i,SY2203: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV327 ) @ SV453 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ SY2202 ) ) @ ( transi2024712006on_val @ ( red @ SY2203 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV153 @ SV327 ) ) @ SV453 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ SY2202 ) ) @ ( transi2024712006on_val @ ( red @ SY2203 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1779]) ).

thf(1967,plain,
    ! [SV454: $i,SV328: $i,SV154: $i] :
      ( ( ! [SY2204: $i,SY2205: $i,SY2206: $i,SY2207: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SY2204 @ SY2205 @ SY2206 @ SY2207 @ nt ) )
            | ( hBOOL @ ( wTrt @ SY2204 @ SY2205 @ SY2206 @ ( fAcc_list_char @ SY2207 @ SV154 @ SV328 ) @ SV454 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1780]) ).

thf(1968,plain,
    ! [SV455: $i,SV329: $i,SV155: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV155 @ ( val_list_char @ null ) ) ) @ SV329 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ SV329 ) ) @ ( red @ SV455 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1781]) ).

thf(1969,plain,
    ! [SV156: $i,SV456: $i,SV330: $i] :
      ( ( ! [SY2208: $i,SY2209: $i,SY2210: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV330 @ SV456 @ SY2208 @ SY2209 @ SY2210 ) )
            | ~ ( hBOOL @ ( is_refT @ SY2210 ) )
            | ( hBOOL @ ( wTrt @ SV330 @ SV456 @ SY2208 @ ( throw_list_char @ SY2209 ) @ SV156 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1782]) ).

thf(1970,plain,
    ! [SV157: $i,SV457: $i,SV331: $i] :
      ( ( ! [SY2211: $i,SY2212: $i,SY2213: $i,SY2214: $i,SY2215: $i,SY2216: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2212 ) @ SY2213 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY2214 ) ) @ SY2215 ) ) @ ( transi2024712006on_val @ ( red @ SY2216 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV331 ) @ SY2215 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SY2211 ) ) @ ( transi2024712006on_val @ ( red @ SY2216 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY2212 @ SV157 @ SV331 ) ) @ SY2213 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SY2211 ) ) @ ( transi2024712006on_val @ ( red @ SY2216 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1783]) ).

thf(1971,plain,
    ! [SV458: $i,SV332: $i,SV158: $i] :
      ( ( ! [SY2217: $i,SY2218: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV158 ) @ SV332 @ ( throw_list_char @ SV458 ) ) ) @ SY2217 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV458 ) ) @ SY2217 ) ) @ ( red @ SY2218 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1784]) ).

thf(1972,plain,
    ! [SV333: $i,SV159: $i,SV459: $i] :
      ( ( ! [SY2219: $i,SY2220: $i,SY2221: $i,SY2222: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV459 ) @ SY2219 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2220 ) @ SY2221 ) ) @ ( transi2024712006on_val @ ( red @ SY2222 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV159 ) @ SV333 @ SV459 ) ) @ SY2219 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV159 ) @ SV333 @ SY2220 ) ) @ SY2221 ) ) @ ( transi2024712006on_val @ ( red @ SY2222 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1785]) ).

thf(1973,plain,
    ! [SV334: $i,SV160: $i,SV460: $i] :
      ( ( ! [SY2223: $i,SY2224: $i,SY2225: $i,SY2226: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV460 ) @ SY2223 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2224 ) ) @ SY2225 ) ) @ ( transi2024712006on_val @ ( red @ SY2226 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV460 @ SV160 @ SV334 ) ) @ SY2223 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2224 ) ) @ SY2225 ) ) @ ( transi2024712006on_val @ ( red @ SY2226 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1786]) ).

thf(1974,plain,
    ! [SV335: $i,SV165: $i] :
      ( ( ( addr @ SV165 )
        = ( bool @ SV335 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1791]) ).

thf(1975,plain,
    ! [SV336: $i,SV166: $i] :
      ( ( ( bool @ SV166 )
        = ( addr @ SV336 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1792]) ).

thf(1976,plain,
    ! [SV167: $i] :
      ( ( ( is_bool @ SV167 )
        = $false )
      | ( ( ( SV167 = fTrue )
          | ( SV167 = fFalse ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1793]) ).

thf(1977,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_A @ SX0 ) ) @ ( sK15_SY856 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1794]) ).

thf(1978,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i,SX2: $i] :
              ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( sK13_X1 @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1795]) ).

thf(1979,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( ( hAPP_val_option_val @ some_val @ SX0 )
           != ( hAPP_val_option_val @ some_val @ SX1 ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1796]) ).

thf(1980,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 != SX1 )
          | ( ( hAPP_val_option_val @ some_val @ SX0 )
            = ( hAPP_val_option_val @ some_val @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1797]) ).

thf(1981,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( member_nat @ SX0 @ SX1 ) )
          | ( hBOOL @ ( hAPP_nat_bool @ SX1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1798]) ).

thf(1982,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_nat_bool @ SX1 @ SX0 ) )
          | ( hBOOL @ ( member_nat @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1799]) ).

thf(1983,plain,
    ! [SV168: $i] :
      ( ( ~ ! [SY1399: $i,SY1400: $i] :
              ( ( ( fun_up204312361on_val @ SV168 @ SY1399 @ SY1400 )
               != SV168 )
              | ( ( hAPP_P2094403585on_val @ SV168 @ SY1399 )
                = SY1400 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1800]) ).

thf(1984,plain,
    ! [SV168: $i] :
      ( ( ~ ! [SY1401: $i,SY1402: $i] :
              ( ( ( hAPP_P2094403585on_val @ SV168 @ SY1401 )
               != SY1402 )
              | ( ( fun_up204312361on_val @ SV168 @ SY1401 @ SY1402 )
                = SV168 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1800]) ).

thf(1985,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( member773094996on_val @ SX0 @ SX1 ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1801]) ).

thf(1986,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) )
          | ( hBOOL @ ( member773094996on_val @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1802]) ).

thf(1987,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SX1 @ SX0 ) ) @ ( sK29_SY863 @ SX1 @ SX0 ) ) @ SX1 ) )
                  | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SX1 @ SX0 ) ) @ ( sK29_SY863 @ SX1 @ SX0 ) ) @ SX0 ) ) )
              | ~ ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SX1 @ SX0 ) ) @ ( sK29_SY863 @ SX1 @ SX0 ) ) @ SX1 ) )
                  | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SX1 @ SX0 ) ) @ ( sK29_SY863 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
          | ( SX1 = SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1803]) ).

thf(1988,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX1 != SX0 )
          | ~ ( ~ ! [SX2: $i,SX3: $i] :
                    ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX1 ) )
                    | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
              | ~ ! [SX2: $i,SX3: $i] :
                    ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX0 ) )
                    | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1804]) ).

thf(1989,plain,
    ! [SV461: $i,SV337: $i,SV169: $i] :
      ( ( ! [SY2227: $i] :
            ( ! [SY2228: $i] :
                ~ ( hBOOL @ ( wTrt @ SV169 @ SV337 @ SV461 @ ( throw_list_char @ SY2227 ) @ SY2228 ) )
            | ~ ( ~ ( hBOOL @ ( wTrt @ SV169 @ SV337 @ SV461 @ SY2227 @ ( sK1_T_r @ SY2227 @ SV461 @ SV337 @ SV169 ) ) )
                | ~ ( hBOOL @ ( is_refT @ ( sK1_T_r @ SY2227 @ SV461 @ SV337 @ SV169 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1805]) ).

thf(1990,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ! [SX2: $i,SX3: $i] :
              ( SX1
             != ( seq_list_char @ ( lAss_list_char @ SX0 @ ( val_list_char @ SX2 ) ) @ SX3 ) )
          | ( hBOOL @ ( assigned @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1806]) ).

thf(1991,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( assigned @ SX0 @ SX1 ) )
          | ( SX1
            = ( seq_list_char @ ( lAss_list_char @ SX0 @ ( val_list_char @ ( sK2_V_3 @ SX1 @ SX0 ) ) ) @ ( sK3_SY853 @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1807]) ).

thf(1992,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ SX0 )
                | ~ ( hBOOL @ SX1 )
                | ( ( bool @ SX0 )
                  = ( bool @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( hBOOL @ SX0 )
                | ( hBOOL @ SX1 )
                | ( ( bool @ SX0 )
                  = ( bool @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1808]) ).

thf(1993,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( ( bool @ SX0 )
                 != ( bool @ SX1 ) )
                | ~ ( hBOOL @ SX0 )
                | ( hBOOL @ SX1 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( ( bool @ SX0 )
                 != ( bool @ SX1 ) )
                | ~ ( hBOOL @ SX1 )
                | ( hBOOL @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1809]) ).

thf(1994,plain,
    ! [SV338: $i,SV170: $i] :
      ( ( ~ ! [SY1885: $i,SY1886: $i] :
              ( ( SY1885 != SY1886 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV170 @ SY1886 @ SV338 ) @ SY1885 )
                = SV338 ) )
        | ~ ! [SY1887: $i,SY1888: $i] :
              ( ( SY1887 = SY1888 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV170 @ SY1888 @ SV338 ) @ SY1887 )
                = ( hAPP_l207779698on_val @ SV170 @ SY1887 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1810]) ).

thf(1995,plain,
    ! [SV171: $i,SV339: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa807100911_sconf @ p @ SV339 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( wTrt @ p @ ha @ SV339 @ ea @ SV171 ) )
          | ~ ( ~ ( hBOOL @ ( wTrt @ p @ h_a @ SV339 @ e_a @ ( sK6_T_3 @ SV339 @ SV171 ) ) )
              | ~ ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK6_T_3 @ SV339 @ SV171 ) @ SV171 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1811]) ).

thf(1996,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( sK54_X1 @ SX0 ) ) )
          | ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1812]) ).

thf(1997,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK52_A @ SX0 ) ) @ ( sK53_SY880 @ SX0 ) ) ) )
          | ! [SX1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1813]) ).

thf(1998,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( member763590124on_val @ SX0 @ SX1 ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ SX1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1814]) ).

thf(1999,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX1 @ SX0 ) )
          | ( hBOOL @ ( member763590124on_val @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1815]) ).

thf(2000,plain,
    ! [SV340: $i,SV172: $i] :
      ( ( ~ ! [SY1889: $i] :
              ( ! [SY1890: $i] :
                  ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV172 ) @ SV340 )
                 != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1889 ) @ SY1890 ) )
              | ( SV172 = SY1889 ) )
        | ~ ! [SY1891: $i,SY1892: $i] :
              ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV172 ) @ SV340 )
               != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1891 ) @ SY1892 ) )
              | ( SV340 = SY1892 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1816]) ).

thf(2001,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( member1251428284t_char @ SX0 @ SX1 ) )
          | ( hBOOL @ ( hAPP_P449474095r_bool @ SX1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1817]) ).

thf(2002,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_P449474095r_bool @ SX1 @ SX0 ) )
          | ( hBOOL @ ( member1251428284t_char @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1818]) ).

thf(2003,plain,
    ! [SV341: $i,SV173: $i] :
      ( ( ~ ! [SY1893: $i,SY1894: $i] :
              ( ( SV173 != SY1893 )
              | ( SV341 != SY1894 )
              | ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
                = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1893 ) @ SY1894 ) ) )
        | ~ ~ ( ~ ! [SY1895: $i] :
                    ( ! [SY1896: $i] :
                        ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
                       != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1895 ) @ SY1896 ) )
                    | ( SV173 = SY1895 ) )
              | ~ ! [SY1897: $i,SY1898: $i] :
                    ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
                     != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1897 ) @ SY1898 ) )
                    | ( SV341 = SY1898 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1819]) ).

thf(2004,plain,
    ! [SV342: $i,SV174: $i] :
      ( ( ~ ! [SY1899: $i,SY1900: $i] :
              ( ( SY1900 != SY1899 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV174 @ SY1899 @ SV342 ) @ SY1900 )
                = SV342 ) )
        | ~ ! [SY1901: $i,SY1902: $i] :
              ( ( SY1902 = SY1901 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV174 @ SY1901 @ SV342 ) @ SY1902 )
                = ( hAPP_l207779698on_val @ SV174 @ SY1902 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1820]) ).

thf(2005,plain,
    ! [SV343: $i,SV175: $i] :
      ( ( ~ ! [SY1903: $i] :
              ( ! [SY1904: $i] :
                  ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV175 ) @ SV343 )
                 != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1903 ) @ SY1904 ) )
              | ( SV175 = SY1903 ) )
        | ~ ! [SY1905: $i,SY1906: $i] :
              ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV175 ) @ SV343 )
               != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1905 ) @ SY1906 ) )
              | ( SV343 = SY1906 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1821]) ).

thf(2006,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( member649088532al_val @ SX0 @ SX1 ) )
          | ( hBOOL @ ( hAPP_P929938951l_bool @ SX1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1822]) ).

thf(2007,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_P929938951l_bool @ SX1 @ SX0 ) )
          | ( hBOOL @ ( member649088532al_val @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1823]) ).

thf(2008,plain,
    ! [SV462: $i,SV344: $i,SV176: $i] :
      ( ( ! [SY2229: $i] :
            ~ ( ~ ! [SY2230: $i,SY2231: $i] :
                    ( ( SV176 != SY2229 )
                    | ( SV344 != SY2230 )
                    | ( SV462 != SY2231 )
                    | ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                      = ( block_list_char @ SY2229 @ SY2230 @ SY2231 ) ) )
              | ~ ~ ( ~ ~ ( ~ ( ! [SY2232: $i,SY2233: $i] :
                                  ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                                 != ( block_list_char @ SY2229 @ SY2232 @ SY2233 ) )
                              | ( SV176 = SY2229 ) )
                          | ~ ! [SY2234: $i] :
                                ( ! [SY2235: $i] :
                                    ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                                   != ( block_list_char @ SY2229 @ SY2234 @ SY2235 ) )
                                | ( SV344 = SY2234 ) ) )
                    | ~ ! [SY2236: $i,SY2237: $i] :
                          ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                           != ( block_list_char @ SY2229 @ SY2236 @ SY2237 ) )
                          | ( SV462 = SY2237 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1824]) ).

thf(2009,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( member_list_char @ SX0 @ SX1 ) )
          | ( hBOOL @ ( hAPP_list_char_bool @ SX1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1825]) ).

thf(2010,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SX1 @ SX0 ) )
          | ( hBOOL @ ( member_list_char @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1826]) ).

thf(2011,plain,
    ! [SV345: $i,SV177: $i] :
      ( ( ~ ! [SY1917: $i,SY1918: $i] :
              ( ( SV177 != SY1917 )
              | ( SV345 != SY1918 )
              | ( ( seq_list_char @ SV177 @ SV345 )
                = ( seq_list_char @ SY1917 @ SY1918 ) ) )
        | ~ ~ ( ~ ! [SY1919: $i] :
                    ( ! [SY1920: $i] :
                        ( ( seq_list_char @ SV177 @ SV345 )
                       != ( seq_list_char @ SY1919 @ SY1920 ) )
                    | ( SV177 = SY1919 ) )
              | ~ ! [SY1921: $i,SY1922: $i] :
                    ( ( ( seq_list_char @ SV177 @ SV345 )
                     != ( seq_list_char @ SY1921 @ SY1922 ) )
                    | ( SV345 = SY1922 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1827]) ).

thf(2012,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK11_A @ SX0 ) ) @ ( sK12_SY855 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1828]) ).

thf(2013,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i,SX2: $i] :
              ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK10_X1 @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1829]) ).

thf(2014,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SX1 @ SX0 ) ) @ ( sK31_SY864 @ SX1 @ SX0 ) ) @ SX1 ) )
                  | ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SX1 @ SX0 ) ) @ ( sK31_SY864 @ SX1 @ SX0 ) ) @ SX0 ) ) )
              | ~ ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SX1 @ SX0 ) ) @ ( sK31_SY864 @ SX1 @ SX0 ) ) @ SX1 ) )
                  | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SX1 @ SX0 ) ) @ ( sK31_SY864 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
          | ( SX1 = SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1830]) ).

thf(2015,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX1 != SX0 )
          | ~ ( ~ ! [SX2: $i,SX3: $i] :
                    ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX1 ) )
                    | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
              | ~ ! [SX2: $i,SX3: $i] :
                    ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX0 ) )
                    | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1831]) ).

thf(2016,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK51_X1 @ SX0 ) ) )
          | ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1832]) ).

thf(2017,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK49_A @ SX0 ) ) @ ( sK50_SY879 @ SX0 ) ) ) )
          | ! [SX1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1833]) ).

thf(2018,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( member1542417277on_val @ SX0 @ SX1 ) )
          | ( hBOOL @ ( hAPP_P1235399154l_bool @ SX1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1834]) ).

thf(2019,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1235399154l_bool @ SX1 @ SX0 ) )
          | ( hBOOL @ ( member1542417277on_val @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1835]) ).

thf(2020,plain,
    ! [SV463: $i,SV346: $i,SV178: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2238: $i] :
                              ( ! [SY2239: $i] :
                                  ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2238 )
                                 != ( hAPP_val_option_val @ some_val @ SY2239 ) )
                              | ( SY2238 = SV346 )
                              | ( SY2238 != SV346 ) )
                        | ~ ! [SY2240: $i,SY2241: $i] :
                              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2240 )
                               != ( hAPP_val_option_val @ some_val @ SY2241 ) )
                              | ( SY2240 = SV346 )
                              | ( ( hAPP_P2094403585on_val @ SV178 @ SY2240 )
                                = ( hAPP_val_option_val @ some_val @ SY2241 ) ) ) )
                  | ~ ~ ( ~ ! [SY2242: $i,SY2243: $i] :
                              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2242 )
                               != ( hAPP_val_option_val @ some_val @ SY2243 ) )
                              | ( SV463 = SY2243 )
                              | ( SY2242 != SV346 ) )
                        | ~ ! [SY2244: $i,SY2245: $i] :
                              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2244 )
                               != ( hAPP_val_option_val @ some_val @ SY2245 ) )
                              | ( SV463 = SY2245 )
                              | ( ( hAPP_P2094403585on_val @ SV178 @ SY2244 )
                                = ( hAPP_val_option_val @ some_val @ SY2245 ) ) ) ) )
            | ~ ~ ( ~ ! [SY2246: $i,SY2247: $i] :
                        ( ( SY2246 != SV346 )
                        | ( SV463 != SY2247 )
                        | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2246 )
                          = ( hAPP_val_option_val @ some_val @ SY2247 ) ) )
                  | ~ ! [SY2248: $i,SY2249: $i] :
                        ( ( SY2248 = SV346 )
                        | ( ( hAPP_P2094403585on_val @ SV178 @ SY2248 )
                         != ( hAPP_val_option_val @ some_val @ SY2249 ) )
                        | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2248 )
                          = ( hAPP_val_option_val @ some_val @ SY2249 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1836]) ).

thf(2021,plain,
    ! [SV347: $i,SV179: $i] :
      ( ( ~ ! [SY1936: $i,SY1937: $i] :
              ( ( SV179 != SY1936 )
              | ( SV347 != SY1937 )
              | ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
                = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1936 ) @ SY1937 ) ) )
        | ~ ~ ( ~ ! [SY1938: $i] :
                    ( ! [SY1939: $i] :
                        ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
                       != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1938 ) @ SY1939 ) )
                    | ( SV179 = SY1938 ) )
              | ~ ! [SY1940: $i,SY1941: $i] :
                    ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
                     != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1940 ) @ SY1941 ) )
                    | ( SV347 = SY1941 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1837]) ).

thf(2022,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK8_A @ SX0 ) ) @ ( sK9_SY854 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1838]) ).

thf(2023,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i,SX2: $i] :
              ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( sK7_X1 @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1839]) ).

thf(2024,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( sK48_X1 @ SX0 ) ) )
          | ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1840]) ).

thf(2025,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK46_A @ SX0 ) ) @ ( sK47_SY878 @ SX0 ) ) ) )
          | ! [SX1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1841]) ).

thf(2026,plain,
    ! [SV348: $i,SV180: $i] :
      ( ( ~ ! [SY1942: $i,SY1943: $i] :
              ( ( SY1942 != SY1943 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV180 @ SY1943 @ SV348 ) @ SY1942 )
                = SV348 ) )
        | ~ ! [SY1944: $i,SY1945: $i] :
              ( ( SY1944 = SY1945 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV180 @ SY1945 @ SV348 ) @ SY1944 )
                = ( hAPP_P2094403585on_val @ SV180 @ SY1944 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1842]) ).

thf(2027,plain,
    ! [SV181: $i] :
      ( ( ~ ! [SY1479: $i,SY1480: $i] :
              ( ~ ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV181 @ SY1479 ) @ SY1480 ) )
              | ( hBOOL @ ( d_list_char @ SY1479 @ SY1480 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1843]) ).

thf(2028,plain,
    ! [SV181: $i] :
      ( ( ~ ! [SY1481: $i,SY1482: $i] :
              ( ~ ( hBOOL @ ( d_list_char @ SY1481 @ SY1482 ) )
              | ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV181 @ SY1481 ) @ SY1482 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1843]) ).

thf(2029,plain,
    ! [SV349: $i,SV182: $i] :
      ( ( ~ ! [SY1946: $i] :
              ( ! [SY1947: $i] :
                  ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV182 ) @ SV349 )
                 != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1946 ) @ SY1947 ) )
              | ( SV182 = SY1946 ) )
        | ~ ! [SY1948: $i,SY1949: $i] :
              ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV182 ) @ SV349 )
               != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1948 ) @ SY1949 ) )
              | ( SV349 = SY1949 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1844]) ).

thf(2030,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( member840932460on_val @ SX0 @ SX1 ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ SX1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1845]) ).

thf(2031,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX1 @ SX0 ) )
          | ( hBOOL @ ( member840932460on_val @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1846]) ).

thf(2032,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SX1 @ SX0 ) ) @ ( sK33_SY865 @ SX1 @ SX0 ) ) @ SX1 ) )
                  | ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SX1 @ SX0 ) ) @ ( sK33_SY865 @ SX1 @ SX0 ) ) @ SX0 ) ) )
              | ~ ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SX1 @ SX0 ) ) @ ( sK33_SY865 @ SX1 @ SX0 ) ) @ SX1 ) )
                  | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SX1 @ SX0 ) ) @ ( sK33_SY865 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
          | ( SX1 = SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1847]) ).

thf(2033,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX1 != SX0 )
          | ~ ( ~ ! [SX2: $i,SX3: $i] :
                    ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX1 ) )
                    | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
              | ~ ! [SX2: $i,SX3: $i] :
                    ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX0 ) )
                    | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1848]) ).

thf(2034,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( ( val_list_char @ SX0 )
           != ( val_list_char @ SX1 ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1849]) ).

thf(2035,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 != SX1 )
          | ( ( val_list_char @ SX0 )
            = ( val_list_char @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1850]) ).

thf(2036,plain,
    ! [SV350: $i,SV183: $i] :
      ( ( ~ ! [SY1950: $i,SY1951: $i] :
              ( ( SV183 != SY1950 )
              | ( SV350 != SY1951 )
              | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
                = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1950 ) @ SY1951 ) ) )
        | ~ ~ ( ~ ! [SY1952: $i] :
                    ( ! [SY1953: $i] :
                        ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
                       != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1952 ) @ SY1953 ) )
                    | ( SV183 = SY1952 ) )
              | ~ ! [SY1954: $i,SY1955: $i] :
                    ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
                     != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1954 ) @ SY1955 ) )
                    | ( SV350 = SY1955 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1851]) ).

thf(2037,plain,
    ! [SV184: $i] :
      ( ( ~ ! [SY1495: $i,SY1496: $i] :
              ( ( ( fun_up1149430426on_val @ SV184 @ SY1495 @ SY1496 )
               != SV184 )
              | ( ( hAPP_l207779698on_val @ SV184 @ SY1495 )
                = SY1496 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1852]) ).

thf(2038,plain,
    ! [SV184: $i] :
      ( ( ~ ! [SY1497: $i,SY1498: $i] :
              ( ( ( hAPP_l207779698on_val @ SV184 @ SY1497 )
               != SY1498 )
              | ( ( fun_up1149430426on_val @ SV184 @ SY1497 @ SY1498 )
                = SV184 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1852]) ).

thf(2039,plain,
    ! [SV351: $i,SV185: $i] :
      ( ( ~ ! [SY1956: $i,SY1957: $i] :
              ( ( SY1957 != SY1956 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV185 @ SY1956 @ SV351 ) @ SY1957 )
                = SV351 ) )
        | ~ ! [SY1958: $i,SY1959: $i] :
              ( ( SY1959 = SY1958 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV185 @ SY1958 @ SV351 ) @ SY1959 )
                = ( hAPP_P2094403585on_val @ SV185 @ SY1959 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1853]) ).

thf(2040,plain,
    ! [SV352: $i,SV186: $i] :
      ( ( ~ ! [SY1960: $i,SY1961: $i] :
              ( ( SV186 != SY1960 )
              | ( SV352 != SY1961 )
              | ( ( lAss_list_char @ SV186 @ SV352 )
                = ( lAss_list_char @ SY1960 @ SY1961 ) ) )
        | ~ ~ ( ~ ! [SY1962: $i] :
                    ( ! [SY1963: $i] :
                        ( ( lAss_list_char @ SV186 @ SV352 )
                       != ( lAss_list_char @ SY1962 @ SY1963 ) )
                    | ( SV186 = SY1962 ) )
              | ~ ! [SY1964: $i,SY1965: $i] :
                    ( ( ( lAss_list_char @ SV186 @ SV352 )
                     != ( lAss_list_char @ SY1964 @ SY1965 ) )
                    | ( SV352 = SY1965 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1854]) ).

thf(2041,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( member1417904245al_val @ SX0 @ SX1 ) )
          | ( hBOOL @ ( hAPP_P943837928l_bool @ SX1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1855]) ).

thf(2042,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_P943837928l_bool @ SX1 @ SX0 ) )
          | ( hBOOL @ ( member1417904245al_val @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1856]) ).

thf(2043,plain,
    ! [SV464: $i,SV353: $i,SV187: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2250: $i] :
                              ( ! [SY2251: $i] :
                                  ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2250 )
                                 != ( hAPP_val_option_val @ some_val @ SY2251 ) )
                              | ( SY2250 = SV353 )
                              | ( SY2250 != SV353 ) )
                        | ~ ! [SY2252: $i,SY2253: $i] :
                              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2252 )
                               != ( hAPP_val_option_val @ some_val @ SY2253 ) )
                              | ( SY2252 = SV353 )
                              | ( ( hAPP_l207779698on_val @ SV187 @ SY2252 )
                                = ( hAPP_val_option_val @ some_val @ SY2253 ) ) ) )
                  | ~ ~ ( ~ ! [SY2254: $i,SY2255: $i] :
                              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2254 )
                               != ( hAPP_val_option_val @ some_val @ SY2255 ) )
                              | ( SV464 = SY2255 )
                              | ( SY2254 != SV353 ) )
                        | ~ ! [SY2256: $i,SY2257: $i] :
                              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2256 )
                               != ( hAPP_val_option_val @ some_val @ SY2257 ) )
                              | ( SV464 = SY2257 )
                              | ( ( hAPP_l207779698on_val @ SV187 @ SY2256 )
                                = ( hAPP_val_option_val @ some_val @ SY2257 ) ) ) ) )
            | ~ ~ ( ~ ! [SY2258: $i,SY2259: $i] :
                        ( ( SY2258 != SV353 )
                        | ( SV464 != SY2259 )
                        | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2258 )
                          = ( hAPP_val_option_val @ some_val @ SY2259 ) ) )
                  | ~ ! [SY2260: $i,SY2261: $i] :
                        ( ( SY2260 = SV353 )
                        | ( ( hAPP_l207779698on_val @ SV187 @ SY2260 )
                         != ( hAPP_val_option_val @ some_val @ SY2261 ) )
                        | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2260 )
                          = ( hAPP_val_option_val @ some_val @ SY2261 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1857]) ).

thf(2044,plain,
    ! [SV354: $i,SV190: $i,SV3: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ SV3 @ SV190 )
           != ( hAPP_val_option_val @ some_val @ SV354 ) ) )
        = $true )
      | ( ( ( fun_up1149430426on_val @ SV3 @ SV190 @ ( hAPP_val_option_val @ some_val @ SV354 ) )
          = SV3 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1858]) ).

thf(2045,plain,
    ! [SV355: $i,SV191: $i,SV4: $i] :
      ( ( ( ( ( hAPP_P2094403585on_val @ SV4 @ SV191 )
           != ( hAPP_val_option_val @ some_val @ SV355 ) ) )
        = $true )
      | ( ( ( fun_up204312361on_val @ SV4 @ SV191 @ ( hAPP_val_option_val @ some_val @ SV355 ) )
          = SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1859]) ).

thf(2046,plain,
    ! [SV465: $i,SV356: $i,SV192: $i,SV5: $i] :
      ( ( ! [SY2262: $i] :
            ( ( ( fun_up1149430426on_val @ SV5 @ SV192 @ ( hAPP_val_option_val @ some_val @ SV356 ) )
             != ( fun_up1149430426on_val @ SV465 @ SV192 @ ( hAPP_val_option_val @ some_val @ SY2262 ) ) )
            | ( SV356 = SY2262 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1860]) ).

thf(2047,plain,
    ! [SV466: $i,SV357: $i,SV193: $i,SV6: $i] :
      ( ( ! [SY2263: $i] :
            ( ( ( fun_up204312361on_val @ SV6 @ SV193 @ ( hAPP_val_option_val @ some_val @ SV357 ) )
             != ( fun_up204312361on_val @ SV466 @ SV193 @ ( hAPP_val_option_val @ some_val @ SY2263 ) ) )
            | ( SV357 = SY2263 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1861]) ).

thf(2048,plain,
    ! [SV7: $i,SV194: $i] :
      ( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV194 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK59_A @ SV194 @ SV7 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK60_SY887 @ SV194 @ SV7 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK61_SY890 @ SV194 @ SV7 ) ) @ ( sK62_SY892 @ SV194 @ SV7 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV194 @ SV7 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1862]) ).

thf(2049,plain,
    ! [SV358: $i,SV195: $i,SV9: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ SV9 @ SV195 )
           != SV358 ) )
        = $true )
      | ( ( ( fun_up1149430426on_val @ SV9 @ SV195 @ SV358 )
          = SV9 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1863]) ).

thf(2050,plain,
    ! [SV196: $i,SV10: $i,SV467: $i,SV359: $i] :
      ( ( ( SV359 = SV467 )
        | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV10 @ SV467 @ SV196 ) @ SV359 )
          = ( hAPP_l207779698on_val @ SV10 @ SV359 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1864]) ).

thf(2051,plain,
    ! [SV360: $i,SV197: $i,SV11: $i,SV468: $i] :
      ( ( ! [SY2264: $i] :
            ( ( SV468 = SY2264 )
            | ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SV468 @ SV197 ) @ SY2264 @ SV360 )
              = ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SY2264 @ SV360 ) @ SV468 @ SV197 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1865]) ).

thf(2052,plain,
    ! [SV469: $i,SV362: $i,SV199: $i,SV13: $i] :
      ( ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV13 @ SV199 @ SV362 ) @ SV199 @ SV469 )
        = ( fun_up1149430426on_val @ SV13 @ SV199 @ SV469 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1867]) ).

thf(2053,plain,
    ! [SV17: $i,SV201: $i] :
      ( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV201 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK37_A @ SV201 @ SV17 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK38_SY869 @ SV201 @ SV17 ) ) @ ( sK39_SY871 @ SV201 @ SV17 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV201 @ SV17 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1868]) ).

thf(2054,plain,
    ! [SV18: $i,SV202: $i] :
      ( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV202 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK34_A @ SV202 @ SV18 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK35_SY866 @ SV202 @ SV18 ) ) @ ( sK36_SY868 @ SV202 @ SV18 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV202 @ SV18 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1869]) ).

thf(2055,plain,
    ! [SV25: $i,SV470: $i,SV363: $i,SV203: $i] :
      ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV203 @ SV363 @ SV470 ) )
        | ~ ( hBOOL @ ( widen_2090681816t_char @ SV203 @ SV470 @ SV25 ) )
        | ( hBOOL @ ( widen_2090681816t_char @ SV203 @ SV363 @ SV25 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1870]) ).

thf(2056,plain,
    ! [SV471: $i,SV364: $i,SV204: $i,SV26: $i] :
      ( ( ! [SY2265: $i] :
            ( ! [SY2266: $i,SY2267: $i] :
                ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV26 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV204 ) @ SV364 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV471 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2265 ) @ SY2266 ) ) ) @ ( red @ SY2267 ) ) )
            | ( hBOOL @ ( hext @ SV204 @ SY2265 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1871]) ).

thf(2057,plain,
    ! [SV27: $i,SV472: $i,SV365: $i,SV205: $i] :
      ( ( ! [SY2268: $i,SY2269: $i,SY2270: $i,SY2271: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV205 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV365 ) @ SV472 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2268 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2269 ) @ SY2270 ) ) ) @ ( red @ SY2271 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV205 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV365 ) @ ( map_ad325961431ar_val @ SV27 @ SV472 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2268 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2269 ) @ ( map_ad325961431ar_val @ SV27 @ SY2270 ) ) ) ) @ ( red @ SY2271 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1872]) ).

thf(2058,plain,
    ! [SV366: $i,SV206: $i,SV28: $i,SV473: $i] :
      ( ( ! [SY2272: $i] :
            ( ~ ( hBOOL @ ( hext @ SV473 @ SY2272 ) )
            | ~ ( hBOOL @ ( conf_P373316194t_char @ SV28 @ SV473 @ SV206 @ SV366 ) )
            | ( hBOOL @ ( conf_P373316194t_char @ SV28 @ SY2272 @ SV206 @ SV366 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1873]) ).

thf(2059,plain,
    ! [SV29: $i,SV474: $i,SV367: $i,SV207: $i] :
      ( ( ! [SY2273: $i] :
            ( ~ ( hBOOL @ ( conf_P373316194t_char @ SV207 @ SV367 @ SV474 @ SY2273 ) )
            | ~ ( hBOOL @ ( widen_2090681816t_char @ SV207 @ SY2273 @ SV29 ) )
            | ( hBOOL @ ( conf_P373316194t_char @ SV207 @ SV367 @ SV474 @ SV29 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1874]) ).

thf(2060,plain,
    ! [SV475: $i,SV368: $i,SV208: $i,SV30: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( val_list_char @ SV30 ) @ SV208 ) ) @ SV368 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV208 ) @ SV368 ) ) @ ( red @ SV475 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1875]) ).

thf(2061,plain,
    ! [SV476: $i,SV369: $i,SV209: $i,SV31: $i] :
      ( ( ! [SY2274: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV31 @ SV209 @ ( val_list_char @ SV369 ) ) ) @ SV476 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV369 ) ) @ SV476 ) ) @ ( red @ SY2274 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1876]) ).

thf(2062,plain,
    ! [SV32: $i,SV477: $i,SV370: $i,SV210: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ SV210 @ SV370 )
         != ( hAPP_val_option_val @ some_val @ SV477 ) )
        | ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ SV32 @ SV210 ) @ SV370 )
          = ( hAPP_val_option_val @ some_val @ SV477 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1877]) ).

thf(2063,plain,
    ! [SV33: $i,SV478: $i,SV371: $i,SV211: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV211 @ SV371 )
         != ( hAPP_val_option_val @ some_val @ SV478 ) )
        | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV33 @ SV211 ) @ SV371 )
          = ( hAPP_val_option_val @ some_val @ SV478 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1878]) ).

thf(2064,plain,
    ! [SV34: $i,SV479: $i,SV372: $i,SV212: $i] :
      ( ( ! [SY2275: $i,SY2276: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV212 ) @ SV372 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV479 ) @ SY2275 ) ) @ ( red @ SY2276 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV34 @ SV212 ) ) @ SV372 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV34 @ SV479 ) ) @ SY2275 ) ) @ ( red @ SY2276 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1879]) ).

thf(2065,plain,
    ! [SV35: $i,SV480: $i,SV373: $i,SV213: $i] :
      ( ( ! [SY2277: $i,SY2278: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV213 ) @ SV373 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV480 ) @ SY2277 ) ) @ ( red @ SY2278 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV213 @ SV35 ) ) @ SV373 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV480 @ SV35 ) ) @ SY2277 ) ) @ ( red @ SY2278 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1880]) ).

thf(2066,plain,
    ! [SV481: $i,SV374: $i,SV214: $i,SV36: $i] :
      ( ( ( map_ad325961431ar_val @ SV36 @ ( fun_up1149430426on_val @ SV214 @ SV374 @ ( hAPP_val_option_val @ some_val @ SV481 ) ) )
        = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ SV36 @ SV214 ) @ SV374 @ ( hAPP_val_option_val @ some_val @ SV481 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1881]) ).

thf(2067,plain,
    ! [SV482: $i,SV375: $i,SV215: $i,SV37: $i] :
      ( ( ( map_ad1185064968ar_val @ SV37 @ ( fun_up204312361on_val @ SV215 @ SV375 @ ( hAPP_val_option_val @ some_val @ SV482 ) ) )
        = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ SV37 @ SV215 ) @ SV375 @ ( hAPP_val_option_val @ some_val @ SV482 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1882]) ).

thf(2068,plain,
    ! [SV216: $i,SV38: $i,SV483: $i,SV376: $i] :
      ( ( ! [SY2279: $i,SY2280: $i] :
            ( ! [SY2281: $i] :
                ~ ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SY2279 @ SY2280 @ SY2281 ) )
            | ~ ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SY2279 @ SV38 @ SV216 ) )
            | ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SY2279 @ ( seq_list_char @ SY2280 @ SV38 ) @ SV216 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1883]) ).

thf(2069,plain,
    ! [SV40: $i,SV377: $i,SV217: $i] :
      ( ( ( ~ ( hBOOL @ ( hext @ SV217 @ SV377 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hext @ SV377 @ SV40 ) )
          | ( hBOOL @ ( hext @ SV217 @ SV40 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1884]) ).

thf(2070,plain,
    ! [SV41: $i,SV484: $i,SV378: $i,SV218: $i] :
      ( ( ! [SY2282: $i,SY2283: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV218 @ SV378 @ SV484 @ SY2282 @ SY2283 ) )
            | ~ ( hBOOL @ ( hext @ SV378 @ SV41 ) )
            | ( hBOOL @ ( wTrt @ SV218 @ SV41 @ SV484 @ SY2282 @ SY2283 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1885]) ).

thf(2071,plain,
    ! [SV43: $i,SV485: $i,SV379: $i,SV220: $i] :
      ( ( ! [SY2284: $i,SY2285: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV220 ) @ SV379 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV485 ) @ SY2284 ) ) @ ( transi2024712006on_val @ ( red @ SY2285 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV220 @ SV43 ) ) @ SV379 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV485 @ SV43 ) ) @ SY2284 ) ) @ ( transi2024712006on_val @ ( red @ SY2285 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1886]) ).

thf(2072,plain,
    ! [SV44: $i,SV486: $i,SV380: $i,SV221: $i] :
      ( ( ! [SY2286: $i,SY2287: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV221 ) @ SV380 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV486 ) @ SY2286 ) ) @ ( transi2024712006on_val @ ( red @ SY2287 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV44 @ SV221 ) ) @ SV380 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV44 @ SV486 ) ) @ SY2286 ) ) @ ( transi2024712006on_val @ ( red @ SY2287 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1887]) ).

thf(2073,plain,
    ! [SV45: $i,SV487: $i,SV381: $i,SV222: $i] :
      ( ( ! [SY2288: $i,SY2289: $i,SY2290: $i,SY2291: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV222 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV381 ) @ SV487 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2288 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2289 ) @ SY2290 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2291 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV222 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV381 ) @ ( map_ad325961431ar_val @ SV45 @ SV487 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2288 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2289 ) @ ( map_ad325961431ar_val @ SV45 @ SY2290 ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2291 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1888]) ).

thf(2074,plain,
    ! [SV382: $i,SV223: $i,SV46: $i,SV488: $i] :
      ( ( ! [SY2292: $i,SY2293: $i,SY2294: $i,SY2295: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV488 ) @ SY2292 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2293 ) @ SY2294 ) ) @ ( red @ SY2295 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV488 @ SV46 @ SV223 @ SV382 ) ) @ SY2292 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2293 @ SV46 @ SV223 @ SV382 ) ) @ SY2294 ) ) @ ( red @ SY2295 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1889]) ).

thf(2075,plain,
    ! [SV383: $i,SV224: $i,SV47: $i,SV489: $i] :
      ( ( ! [SY2296: $i,SY2297: $i,SY2298: $i,SY2299: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV489 ) @ SY2296 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2297 ) @ SY2298 ) ) @ ( red @ SY2299 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV47 ) @ SV224 @ SV383 @ SV489 ) ) @ SY2296 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV47 ) @ SV224 @ SV383 @ SY2297 ) ) @ SY2298 ) ) @ ( red @ SY2299 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1890]) ).

thf(2076,plain,
    ! [SV384: $i,SV225: $i,SV48: $i,SV490: $i] :
      ( ( ! [SY2300: $i,SY2301: $i,SY2302: $i,SY2303: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV490 ) @ SY2300 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2301 ) @ SY2302 ) ) @ ( transi2024712006on_val @ ( red @ SY2303 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV490 @ SV48 @ SV225 @ SV384 ) ) @ SY2300 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2301 @ SV48 @ SV225 @ SV384 ) ) @ SY2302 ) ) @ ( transi2024712006on_val @ ( red @ SY2303 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1891]) ).

thf(2077,plain,
    ! [SV226: $i,SV49: $i,SV491: $i,SV385: $i] :
      ( ( ! [SY2304: $i,SY2305: $i,SY2306: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV385 ) @ SV491 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2304 ) @ SY2305 ) ) @ ( red @ SY2306 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV385 @ SV49 @ SV226 ) ) @ SV491 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY2304 @ SV49 @ SV226 ) ) @ SY2305 ) ) @ ( red @ SY2306 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1892]) ).

thf(2078,plain,
    ! [SV227: $i,SV50: $i,SV492: $i,SV386: $i] :
      ( ( ! [SY2307: $i,SY2308: $i,SY2309: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV386 ) @ SV492 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2307 ) @ SY2308 ) ) @ ( transi2024712006on_val @ ( red @ SY2309 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV386 @ SV50 @ SV227 ) ) @ SV492 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY2307 @ SV50 @ SV227 ) ) @ SY2308 ) ) @ ( transi2024712006on_val @ ( red @ SY2309 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1893]) ).

thf(2079,plain,
    ! [SV493: $i,SV388: $i,SV229: $i,SV52: $i] :
      ( ( ! [SY2310: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV52 ) @ SV229 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV388 ) @ SV493 ) ) @ ( red @ SY2310 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV52 ) ) @ SV229 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV388 ) ) @ SV493 ) ) @ ( red @ SY2310 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1895]) ).

thf(2080,plain,
    ! [SV494: $i,SV389: $i,SV230: $i,SV53: $i] :
      ( ( ! [SY2311: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV53 ) @ SV230 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV389 ) @ SV494 ) ) @ ( transi2024712006on_val @ ( red @ SY2311 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV53 ) ) @ SV230 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV389 ) ) @ SV494 ) ) @ ( transi2024712006on_val @ ( red @ SY2311 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1896]) ).

thf(2081,plain,
    ! [SV495: $i,SV390: $i,SV231: $i,SV54: $i] :
      ( ( ! [SY2312: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV54 ) @ SV231 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV390 ) ) @ SV495 ) ) @ ( transi2024712006on_val @ ( red @ SY2312 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV54 ) ) @ SV231 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV390 ) ) @ SV495 ) ) @ ( transi2024712006on_val @ ( red @ SY2312 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1897]) ).

thf(2082,plain,
    ! [SV496: $i,SV391: $i,SV232: $i,SV55: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV55 @ ( throw_list_char @ SV232 ) ) ) @ SV391 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV232 ) ) @ SV391 ) ) @ ( red @ SV496 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1898]) ).

thf(2083,plain,
    ! [SV497: $i,SV392: $i,SV233: $i,SV56: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( throw_list_char @ SV56 ) @ SV233 ) ) @ SV392 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV56 ) ) @ SV392 ) ) @ ( red @ SV497 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1899]) ).

thf(2084,plain,
    ! [SV498: $i,SV393: $i,SV234: $i,SV57: $i] :
      ( ( ! [SY2313: $i,SY2314: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( throw_list_char @ SV57 ) @ SV234 @ SV393 @ SV498 ) ) @ SY2313 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV57 ) ) @ SY2313 ) ) @ ( red @ SY2314 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1900]) ).

thf(2085,plain,
    ! [SV499: $i,SV394: $i,SV235: $i,SV58: $i] :
      ( ( ! [SY2315: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ ( throw_list_char @ SV58 ) @ SV235 @ SV394 ) ) @ SV499 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV58 ) ) @ SV499 ) ) @ ( red @ SY2315 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1901]) ).

thf(2086,plain,
    ! [SV395: $i,SV236: $i,SV59: $i,SV500: $i] :
      ( ( ! [SY2316: $i,SY2317: $i,SY2318: $i,SY2319: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV500 ) @ SY2316 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2317 ) @ SY2318 ) ) @ ( red @ SY2319 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV500 @ SV59 @ SV236 @ SV395 ) ) @ SY2316 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY2317 @ SV59 @ SV236 @ SV395 ) ) @ SY2318 ) ) @ ( red @ SY2319 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1902]) ).

thf(2087,plain,
    ! [SV501: $i,SV396: $i,SV237: $i,SV60: $i] :
      ( ( ! [SY2320: $i,SY2321: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ ( val_list_char @ SV60 ) @ SV237 @ SV396 @ SV501 ) ) @ SY2320 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV60 ) ) @ SY2320 ) ) @ ( red @ SY2321 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1903]) ).

thf(2088,plain,
    ! [SV397: $i,SV238: $i,SV61: $i,SV502: $i] :
      ( ( ! [SY2322: $i,SY2323: $i,SY2324: $i,SY2325: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV502 ) @ SY2322 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2323 ) @ SY2324 ) ) @ ( transi2024712006on_val @ ( red @ SY2325 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV502 @ SV61 @ SV238 @ SV397 ) ) @ SY2322 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY2323 @ SV61 @ SV238 @ SV397 ) ) @ SY2324 ) ) @ ( transi2024712006on_val @ ( red @ SY2325 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1904]) ).

thf(2089,plain,
    ! [SV62: $i,SV503: $i,SV398: $i,SV239: $i] :
      ( ( ! [SY2326: $i,SY2327: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV239 ) @ SV398 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV503 ) @ SY2326 ) ) @ ( red @ SY2327 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV62 @ SV239 ) ) @ SV398 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV62 @ SV503 ) ) @ SY2326 ) ) @ ( red @ SY2327 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1905]) ).

thf(2090,plain,
    ! [SV504: $i,SV399: $i,SV240: $i,SV63: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV63 @ ( throw_list_char @ SV240 ) ) ) @ SV399 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV240 ) ) @ SV399 ) ) @ ( red @ SV504 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1906]) ).

thf(2091,plain,
    ! [SV64: $i,SV505: $i,SV400: $i,SV241: $i] :
      ( ( ! [SY2328: $i,SY2329: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV241 ) @ SV400 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV505 ) @ SY2328 ) ) @ ( transi2024712006on_val @ ( red @ SY2329 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV64 @ SV241 ) ) @ SV400 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV64 @ SV505 ) ) @ SY2328 ) ) @ ( transi2024712006on_val @ ( red @ SY2329 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1907]) ).

thf(2092,plain,
    ! [SV242: $i,SV65: $i,SV506: $i,SV401: $i] :
      ( ( ! [SY2330: $i,SY2331: $i,SY2332: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV401 ) @ SV506 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2330 ) @ SY2331 ) ) @ ( red @ SY2332 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV401 @ SV65 @ SV242 ) ) @ SV506 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY2330 @ SV65 @ SV242 ) ) @ SY2331 ) ) @ ( red @ SY2332 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1908]) ).

thf(2093,plain,
    ! [SV243: $i,SV66: $i,SV507: $i,SV402: $i] :
      ( ( ! [SY2333: $i,SY2334: $i,SY2335: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV402 ) @ SV507 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2333 ) @ SY2334 ) ) @ ( red @ SY2335 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV66 ) @ SV243 @ SV402 ) ) @ SV507 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV66 ) @ SV243 @ SY2333 ) ) @ SY2334 ) ) @ ( red @ SY2335 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1909]) ).

thf(2094,plain,
    ! [SV508: $i,SV403: $i,SV244: $i,SV67: $i] :
      ( ( ! [SY2336: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( throw_list_char @ SV67 ) @ SV244 @ SV403 ) ) @ SV508 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV67 ) ) @ SV508 ) ) @ ( red @ SY2336 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1910]) ).

thf(2095,plain,
    ! [SV245: $i,SV68: $i,SV509: $i,SV404: $i] :
      ( ( ! [SY2337: $i,SY2338: $i,SY2339: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV404 ) @ SV509 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2337 ) @ SY2338 ) ) @ ( transi2024712006on_val @ ( red @ SY2339 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV404 @ SV68 @ SV245 ) ) @ SV509 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY2337 @ SV68 @ SV245 ) ) @ SY2338 ) ) @ ( transi2024712006on_val @ ( red @ SY2339 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1911]) ).

thf(2096,plain,
    ! [SV510: $i,SV405: $i,SV246: $i,SV70: $i] :
      ( ( is_bool @ ( conf_P373316194t_char @ SV70 @ SV246 @ SV405 @ SV510 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1912]) ).

thf(2097,plain,
    ! [SV511: $i,SV407: $i,SV252: $i,SV77: $i] :
      ( ( ! [SY2340: $i] : ( is_bool @ ( wTrt @ SV77 @ SV252 @ SV407 @ SV511 @ SY2340 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1914]) ).

thf(2098,plain,
    ! [SV78: $i,SV253: $i] :
      ( ( ( is_bool @ SV253 )
        = $false )
      | ( ( is_bool @ ( hAPP_bool_bool @ SV78 @ SV253 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1915]) ).

thf(2099,plain,
    ! [SV408: $i,SV278: $i,SV103: $i] :
      ( ( ( ( ( hAPP_P2094403585on_val @ SV103 @ SV278 )
           != SV408 ) )
        = $true )
      | ( ( ( fun_up204312361on_val @ SV103 @ SV278 @ SV408 )
          = SV103 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1916]) ).

thf(2100,plain,
    ! [SV279: $i,SV104: $i,SV512: $i,SV409: $i] :
      ( ( ( SV409 = SV512 )
        | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV104 @ SV512 @ SV279 ) @ SV409 )
          = ( hAPP_P2094403585on_val @ SV104 @ SV409 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1917]) ).

thf(2101,plain,
    ! [SV410: $i,SV280: $i,SV105: $i,SV513: $i] :
      ( ( ! [SY2341: $i] :
            ( ( SV513 = SY2341 )
            | ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV105 @ SV513 @ SV280 ) @ SY2341 @ SV410 )
              = ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV105 @ SY2341 @ SV410 ) @ SV513 @ SV280 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1918]) ).

thf(2102,plain,
    ! [SV514: $i,SV412: $i,SV282: $i,SV107: $i] :
      ( ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV107 @ SV282 @ SV412 ) @ SV282 @ SV514 )
        = ( fun_up204312361on_val @ SV107 @ SV282 @ SV514 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1920]) ).

thf(2103,plain,
    ! [SV108: $i,SV413: $i,SV283: $i] :
      ( ( ( ~ ( hBOOL @ ( member1251428284t_char @ SV283 @ ( dom_Pr695701035ar_val @ SV413 ) ) ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ SV108 @ SV413 ) @ SV283 )
          = ( hAPP_P2094403585on_val @ SV413 @ SV283 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1921]) ).

thf(2104,plain,
    ! [SV109: $i,SV414: $i,SV284: $i] :
      ( ( ( ~ ( hBOOL @ ( member_list_char @ SV284 @ ( dom_list_char_val @ SV414 ) ) ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV109 @ SV414 ) @ SV284 )
          = ( hAPP_l207779698on_val @ SV414 @ SV284 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1922]) ).

thf(2105,plain,
    ! [SV110: $i,SV415: $i,SV285: $i] :
      ( ( ( hBOOL @ ( member1251428284t_char @ SV285 @ ( dom_Pr695701035ar_val @ SV415 ) ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ SV110 @ SV415 ) @ SV285 )
          = ( hAPP_P2094403585on_val @ SV110 @ SV285 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1923]) ).

thf(2106,plain,
    ! [SV111: $i,SV416: $i,SV286: $i] :
      ( ( ( hBOOL @ ( member_list_char @ SV286 @ ( dom_list_char_val @ SV416 ) ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV111 @ SV416 ) @ SV286 )
          = ( hAPP_l207779698on_val @ SV111 @ SV286 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1924]) ).

thf(2107,plain,
    ! [SV112: $i,SV417: $i,SV287: $i] :
      ( ( ( hBOOL @ ( member1251428284t_char @ SV287 @ ( dom_Pr695701035ar_val @ SV417 ) ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ SV417 @ SV112 ) @ SV287 )
          = ( hAPP_P2094403585on_val @ SV112 @ SV287 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1925]) ).

thf(2108,plain,
    ! [SV113: $i,SV418: $i,SV288: $i] :
      ( ( ( hBOOL @ ( member_list_char @ SV288 @ ( dom_list_char_val @ SV418 ) ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV418 @ SV113 ) @ SV288 )
          = ( hAPP_l207779698on_val @ SV113 @ SV288 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1926]) ).

thf(2109,plain,
    ! [SV515: $i,SV421: $i,SV291: $i,SV116: $i] :
      ( ( ! [SY2342: $i,SY2343: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV116 @ SV291 @ ( seq_list_char @ ( lAss_list_char @ SV116 @ ( val_list_char @ SV421 ) ) @ ( val_list_char @ SV515 ) ) ) ) @ SY2342 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV515 ) ) @ SY2342 ) ) @ ( red @ SY2343 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1929]) ).

thf(2110,plain,
    ! [SV292: $i,SV117: $i,SV516: $i,SV422: $i] :
      ( ( ( hBOOL @ ( member1251428284t_char @ SV422 @ ( dom_Pr695701035ar_val @ SV516 ) ) )
        | ( ( map_ad1185064968ar_val @ ( fun_up204312361on_val @ SV117 @ SV422 @ ( hAPP_val_option_val @ some_val @ SV292 ) ) @ SV516 )
          = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ SV117 @ SV516 ) @ SV422 @ ( hAPP_val_option_val @ some_val @ SV292 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1930]) ).

thf(2111,plain,
    ! [SV293: $i,SV118: $i,SV517: $i,SV423: $i] :
      ( ( ( hBOOL @ ( member_list_char @ SV423 @ ( dom_list_char_val @ SV517 ) ) )
        | ( ( map_ad325961431ar_val @ ( fun_up1149430426on_val @ SV118 @ SV423 @ ( hAPP_val_option_val @ some_val @ SV293 ) ) @ SV517 )
          = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ SV118 @ SV517 ) @ SV423 @ ( hAPP_val_option_val @ some_val @ SV293 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1931]) ).

thf(2112,plain,
    ! [SV518: $i,SV294: $i,SV119: $i] :
      ( ( ( ( ( hAPP_P2094403585on_val @ SV119 @ SV294 )
           != ( hAPP_val_option_val @ some_val @ SV518 ) ) )
        = $true )
      | ( ( hBOOL @ ( member1251428284t_char @ SV294 @ ( dom_Pr695701035ar_val @ SV119 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1932]) ).

thf(2113,plain,
    ! [SV519: $i,SV295: $i,SV120: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ SV120 @ SV295 )
           != ( hAPP_val_option_val @ some_val @ SV519 ) ) )
        = $true )
      | ( ( hBOOL @ ( member_list_char @ SV295 @ ( dom_list_char_val @ SV120 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1933]) ).

thf(2114,plain,
    ! [SV121: $i,SV296: $i,SV520: $i,SV424: $i] :
      ( ( ! [SY2344: $i,SY2345: $i,SY2346: $i,SY2347: $i,SY2348: $i,SY2349: $i,SY2350: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV424 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ ( fun_up1149430426on_val @ SY2344 @ SY2345 @ ( hAPP_val_option_val @ some_val @ SY2346 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2347 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2348 ) @ SY2349 ) ) ) @ ( red @ SY2350 ) ) )
            | ( ( hAPP_l207779698on_val @ SY2349 @ SY2345 )
             != ( hAPP_val_option_val @ some_val @ SV296 ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY2345 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SY2345 @ ( val_list_char @ SY2346 ) ) @ SV424 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ SY2344 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY2345 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SY2345 @ ( val_list_char @ SV296 ) ) @ SY2347 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2348 ) @ ( fun_up1149430426on_val @ SY2349 @ SY2345 @ ( hAPP_l207779698on_val @ SY2344 @ SY2345 ) ) ) ) ) @ ( red @ SY2350 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1934]) ).

thf(2115,plain,
    ! [SV521: $i,SV425: $i,SV297: $i,SV122: $i] :
      ( ( ! [SY2351: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV122 @ ( val_list_char @ SV297 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV425 ) @ SV521 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV425 ) @ ( fun_up1149430426on_val @ SV521 @ SV122 @ ( hAPP_val_option_val @ some_val @ SV297 ) ) ) ) ) @ ( red @ SY2351 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1935]) ).

thf(2116,plain,
    ! [SV298: $i,SV123: $i] :
      ( ( ( hBOOL @ ( member1251428284t_char @ SV123 @ ( dom_Pr695701035ar_val @ SV298 ) ) )
        = $false )
      | ( ( ( hAPP_P2094403585on_val @ SV298 @ SV123 )
          = ( hAPP_val_option_val @ some_val @ ( sK5_B_1 @ SV298 @ SV123 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1936]) ).

thf(2117,plain,
    ! [SV299: $i,SV124: $i] :
      ( ( ( hBOOL @ ( member_list_char @ SV124 @ ( dom_list_char_val @ SV299 ) ) )
        = $false )
      | ( ( ( hAPP_l207779698on_val @ SV299 @ SV124 )
          = ( hAPP_val_option_val @ some_val @ ( sK4_B_1 @ SV299 @ SV124 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1937]) ).

thf(2118,plain,
    ! [SV522: $i,SV426: $i,SV300: $i,SV125: $i] :
      ( ( ! [SY2352: $i] :
            ( ( block_list_char @ SV125 @ SV300 @ SV426 )
           != ( lAss_list_char @ SV522 @ SY2352 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1938]) ).

thf(2119,plain,
    ! [SV427: $i,SV301: $i,SV126: $i] :
      ( ( ( val_list_char @ SV126 )
        = ( seq_list_char @ SV301 @ SV427 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1939]) ).

thf(2120,plain,
    ! [SV428: $i,SV302: $i,SV127: $i] :
      ( ( ( val_list_char @ SV127 )
        = ( lAss_list_char @ SV302 @ SV428 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1940]) ).

thf(2121,plain,
    ! [SV429: $i,SV303: $i,SV128: $i] :
      ( ( ( seq_list_char @ SV128 @ SV303 )
        = ( val_list_char @ SV429 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1941]) ).

thf(2122,plain,
    ! [SV430: $i,SV304: $i,SV129: $i] :
      ( ( ( lAss_list_char @ SV129 @ SV304 )
        = ( val_list_char @ SV430 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1942]) ).

thf(2123,plain,
    ! [SV523: $i,SV431: $i,SV305: $i,SV130: $i] :
      ( ( ( ( val_list_char @ SV130 )
         != ( block_list_char @ SV305 @ SV431 @ SV523 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1943]) ).

thf(2124,plain,
    ! [SV524: $i,SV432: $i,SV306: $i,SV131: $i] :
      ( ( ( ( block_list_char @ SV131 @ SV306 @ SV432 )
         != ( val_list_char @ SV524 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1944]) ).

thf(2125,plain,
    ! [SV525: $i,SV433: $i,SV307: $i,SV132: $i] :
      ( ( ( ( seq_list_char @ SV132 @ SV307 )
         != ( lAss_list_char @ SV433 @ SV525 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1945]) ).

thf(2126,plain,
    ! [SV526: $i,SV434: $i,SV308: $i,SV133: $i] :
      ( ( ( ( lAss_list_char @ SV133 @ SV308 )
         != ( seq_list_char @ SV434 @ SV526 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1946]) ).

thf(2127,plain,
    ! [SV527: $i,SV435: $i,SV309: $i,SV134: $i] :
      ( ( ! [SY2353: $i] :
            ( ( seq_list_char @ SV134 @ SV309 )
           != ( block_list_char @ SV435 @ SV527 @ SY2353 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1947]) ).

thf(2128,plain,
    ! [SV528: $i,SV436: $i,SV310: $i,SV135: $i] :
      ( ( ! [SY2354: $i] :
            ( ( lAss_list_char @ SV135 @ SV310 )
           != ( block_list_char @ SV436 @ SV528 @ SY2354 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1948]) ).

thf(2129,plain,
    ! [SV529: $i,SV437: $i,SV311: $i,SV136: $i] :
      ( ( ! [SY2355: $i] :
            ( ( block_list_char @ SV136 @ SV311 @ SV437 )
           != ( seq_list_char @ SV529 @ SY2355 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1949]) ).

thf(2130,plain,
    ! [SV137: $i,SV530: $i,SV438: $i,SV312: $i] :
      ( ( ! [SY2356: $i,SY2357: $i,SY2358: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV312 ) @ SV438 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV530 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2356 ) @ SY2357 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2358 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV137 @ SV312 ) ) @ SV438 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2356 ) @ ( fun_up1149430426on_val @ SY2357 @ SV137 @ ( hAPP_val_option_val @ some_val @ SV530 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2358 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1950]) ).

thf(2131,plain,
    ! [SV439: $i,SV313: $i,SV138: $i,SV531: $i] :
      ( ( ! [SY2359: $i,SY2360: $i,SY2361: $i,SY2362: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV531 ) @ SY2359 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY2360 ) ) @ SY2361 ) ) @ ( transi2024712006on_val @ ( red @ SY2362 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV138 ) @ SY2361 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV439 ) ) @ ( transi2024712006on_val @ ( red @ SY2362 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV531 @ SV138 ) ) @ SY2359 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV439 ) ) @ ( transi2024712006on_val @ ( red @ SY2362 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1951]) ).

thf(2132,plain,
    ! [SV139: $i,SV532: $i,SV440: $i,SV314: $i] :
      ( ( ! [SY2363: $i,SY2364: $i,SY2365: $i,SY2366: $i,SY2367: $i,SY2368: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV314 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV440 ) @ ( fun_up1149430426on_val @ SV532 @ SY2363 @ ( hAPP_val_option_val @ some_val @ SY2364 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2365 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2366 ) @ SY2367 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2368 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY2363 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SY2363 @ ( val_list_char @ SY2364 ) ) @ SV314 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV440 ) @ SV532 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY2363 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SY2363 @ ( val_list_char @ ( the_val @ ( hAPP_l207779698on_val @ SY2367 @ SY2363 ) ) ) ) @ SY2365 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2366 ) @ ( fun_up1149430426on_val @ SY2367 @ SY2363 @ ( hAPP_l207779698on_val @ SV532 @ SY2363 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2368 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1952]) ).

thf(2133,plain,
    ! [SV140: $i,SV533: $i,SV441: $i,SV315: $i] :
      ( ( ! [SY2369: $i,SY2370: $i,SY2371: $i,SY2372: $i,SY2373: $i,SY2374: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV315 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ ( fun_up1149430426on_val @ SV533 @ SY2369 @ ( hAPP_val_option_val @ some_val @ SY2370 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2371 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2372 ) @ SY2373 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2374 ) ) ) )
            | ~ ( hBOOL @ ( final_list_char @ SY2371 ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY2369 @ SV140 @ ( seq_list_char @ ( lAss_list_char @ SY2369 @ ( val_list_char @ SY2370 ) ) @ SV315 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ SV533 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2371 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2372 ) @ ( fun_up1149430426on_val @ SY2373 @ SY2369 @ ( hAPP_l207779698on_val @ SV533 @ SY2369 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2374 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1953]) ).

thf(2134,plain,
    ! [SV442: $i,SV316: $i,SV142: $i,SV534: $i] :
      ( ( ! [SY2375: $i,SY2376: $i,SY2377: $i,SY2378: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV534 ) @ SY2375 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2376 ) @ SY2377 ) ) @ ( transi2024712006on_val @ ( red @ SY2378 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV142 ) @ SV316 @ SV442 @ SV534 ) ) @ SY2375 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV142 ) @ SV316 @ SV442 @ SY2376 ) ) @ SY2377 ) ) @ ( transi2024712006on_val @ ( red @ SY2378 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1955]) ).

thf(2135,plain,
    ! [SV535: $i,SV443: $i,SV317: $i,SV143: $i] :
      ( ( ! [SY2379: $i,SY2380: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV143 @ SV317 @ ( seq_list_char @ ( lAss_list_char @ SV143 @ ( val_list_char @ SV443 ) ) @ ( throw_list_char @ ( val_list_char @ ( addr @ SV535 ) ) ) ) ) ) @ SY2379 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ SV535 ) ) ) ) @ SY2379 ) ) @ ( red @ SY2380 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1956]) ).

thf(2136,plain,
    ! [SV536: $i,SV444: $i,SV318: $i,SV144: $i] :
      ( ( ! [SY2381: $i,SY2382: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV144 ) @ SV318 @ SV444 @ ( throw_list_char @ SV536 ) ) ) @ SY2381 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV536 ) ) @ SY2381 ) ) @ ( red @ SY2382 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1957]) ).

thf(2137,plain,
    ! [SV145: $i,SV537: $i,SV445: $i,SV319: $i] :
      ( ( ! [SY2383: $i,SY2384: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV319 ) @ SV445 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV537 ) ) @ SY2383 ) ) @ ( transi2024712006on_val @ ( red @ SY2384 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV145 @ SV319 ) ) @ SV445 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV537 ) ) @ SY2383 ) ) @ ( transi2024712006on_val @ ( red @ SY2384 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1958]) ).

thf(2138,plain,
    ! [SV146: $i,SV538: $i,SV446: $i,SV320: $i] :
      ( ( ! [SY2385: $i,SY2386: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV320 ) @ SV446 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV538 ) ) @ SY2385 ) ) @ ( transi2024712006on_val @ ( red @ SY2386 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV320 @ SV146 ) ) @ SV446 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV538 ) ) @ SY2385 ) ) @ ( transi2024712006on_val @ ( red @ SY2386 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1959]) ).

thf(2139,plain,
    ! [SV447: $i,SV321: $i,SV147: $i,SV539: $i] :
      ( ( ! [SY2387: $i,SY2388: $i,SY2389: $i,SY2390: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV539 ) @ SY2387 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2388 ) ) @ SY2389 ) ) @ ( transi2024712006on_val @ ( red @ SY2390 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV539 @ SV147 @ SV321 @ SV447 ) ) @ SY2387 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2388 ) ) @ SY2389 ) ) @ ( transi2024712006on_val @ ( red @ SY2390 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1960]) ).

thf(2140,plain,
    ! [SV322: $i,SV148: $i,SV540: $i,SV448: $i] :
      ( ( ! [SY2391: $i,SY2392: $i,SY2393: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV448 ) @ SV540 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2391 ) ) @ SY2392 ) ) @ ( transi2024712006on_val @ ( red @ SY2393 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV448 @ SV148 @ SV322 ) ) @ SV540 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2391 ) ) @ SY2392 ) ) @ ( transi2024712006on_val @ ( red @ SY2393 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1961]) ).

thf(2141,plain,
    ! [SV323: $i,SV149: $i,SV541: $i,SV449: $i] :
      ( ( ! [SY2394: $i,SY2395: $i,SY2396: $i,SY2397: $i,SY2398: $i,SY2399: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2395 ) @ SY2396 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY2397 ) ) @ SY2398 ) ) @ ( transi2024712006on_val @ ( red @ SY2399 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV449 ) @ SY2398 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SY2394 ) ) @ ( transi2024712006on_val @ ( red @ SY2399 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2395 @ SV149 @ SV323 @ SV449 ) ) @ SY2396 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SY2394 ) ) @ ( transi2024712006on_val @ ( red @ SY2399 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1962]) ).

thf(2142,plain,
    ! [SV542: $i,SV450: $i,SV324: $i,SV150: $i] :
      ( ( ! [SY2400: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV150 @ SV324 @ ( throw_list_char @ ( val_list_char @ ( addr @ SV450 ) ) ) ) ) @ SV542 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ SV450 ) ) ) ) @ SV542 ) ) @ ( red @ SY2400 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1963]) ).

thf(2143,plain,
    ! [SV451: $i,SV325: $i,SV151: $i,SV543: $i] :
      ( ( ! [SY2401: $i,SY2402: $i,SY2403: $i,SY2404: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV543 ) @ SY2401 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY2402 ) ) @ SY2403 ) ) @ ( transi2024712006on_val @ ( red @ SY2404 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV543 @ SV151 @ SV325 @ SV451 ) ) @ SY2401 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY2402 ) ) @ SY2403 ) ) @ ( transi2024712006on_val @ ( red @ SY2404 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1964]) ).

thf(2144,plain,
    ! [SV152: $i,SV544: $i,SV452: $i,SV326: $i] :
      ( ( ! [SY2405: $i,SY2406: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV326 ) @ SV452 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV544 ) ) @ SY2405 ) ) @ ( transi2024712006on_val @ ( red @ SY2406 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV152 @ SV326 ) ) @ SV452 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV544 ) ) @ SY2405 ) ) @ ( transi2024712006on_val @ ( red @ SY2406 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1965]) ).

thf(2145,plain,
    ! [SV153: $i,SV545: $i,SV453: $i,SV327: $i] :
      ( ( ! [SY2407: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV327 ) @ SV453 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ SV545 ) ) @ ( transi2024712006on_val @ ( red @ SY2407 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV153 @ SV327 ) ) @ SV453 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ SV545 ) ) @ ( transi2024712006on_val @ ( red @ SY2407 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1966]) ).

thf(2146,plain,
    ! [SV454: $i,SV328: $i,SV154: $i,SV546: $i] :
      ( ( ! [SY2408: $i,SY2409: $i,SY2410: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV546 @ SY2408 @ SY2409 @ SY2410 @ nt ) )
            | ( hBOOL @ ( wTrt @ SV546 @ SY2408 @ SY2409 @ ( fAcc_list_char @ SY2410 @ SV154 @ SV328 ) @ SV454 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1967]) ).

thf(2147,plain,
    ! [SV156: $i,SV547: $i,SV456: $i,SV330: $i] :
      ( ( ! [SY2411: $i,SY2412: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV330 @ SV456 @ SV547 @ SY2411 @ SY2412 ) )
            | ~ ( hBOOL @ ( is_refT @ SY2412 ) )
            | ( hBOOL @ ( wTrt @ SV330 @ SV456 @ SV547 @ ( throw_list_char @ SY2411 ) @ SV156 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1969]) ).

thf(2148,plain,
    ! [SV157: $i,SV548: $i,SV457: $i,SV331: $i] :
      ( ( ! [SY2413: $i,SY2414: $i,SY2415: $i,SY2416: $i,SY2417: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2413 ) @ SY2414 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY2415 ) ) @ SY2416 ) ) @ ( transi2024712006on_val @ ( red @ SY2417 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV331 ) @ SY2416 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SV548 ) ) @ ( transi2024712006on_val @ ( red @ SY2417 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY2413 @ SV157 @ SV331 ) ) @ SY2414 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SV548 ) ) @ ( transi2024712006on_val @ ( red @ SY2417 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1970]) ).

thf(2149,plain,
    ! [SV549: $i,SV458: $i,SV332: $i,SV158: $i] :
      ( ( ! [SY2418: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV158 ) @ SV332 @ ( throw_list_char @ SV458 ) ) ) @ SV549 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV458 ) ) @ SV549 ) ) @ ( red @ SY2418 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1971]) ).

thf(2150,plain,
    ! [SV333: $i,SV159: $i,SV550: $i,SV459: $i] :
      ( ( ! [SY2419: $i,SY2420: $i,SY2421: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV459 ) @ SV550 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2419 ) @ SY2420 ) ) @ ( transi2024712006on_val @ ( red @ SY2421 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV159 ) @ SV333 @ SV459 ) ) @ SV550 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV159 ) @ SV333 @ SY2419 ) ) @ SY2420 ) ) @ ( transi2024712006on_val @ ( red @ SY2421 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1972]) ).

thf(2151,plain,
    ! [SV334: $i,SV160: $i,SV551: $i,SV460: $i] :
      ( ( ! [SY2422: $i,SY2423: $i,SY2424: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV460 ) @ SV551 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2422 ) ) @ SY2423 ) ) @ ( transi2024712006on_val @ ( red @ SY2424 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV460 @ SV160 @ SV334 ) ) @ SV551 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2422 ) ) @ SY2423 ) ) @ ( transi2024712006on_val @ ( red @ SY2424 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1973]) ).

thf(2152,plain,
    ! [SV167: $i] :
      ( ( ( SV167 = fTrue )
        = $true )
      | ( ( SV167 = fFalse )
        = $true )
      | ( ( is_bool @ SV167 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1976]) ).

thf(2153,plain,
    ! [SV552: $i] :
      ( ( ! [SY2425: $i] :
            ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV552 @ SY2425 ) )
        | ( hBOOL @ ( hAPP_P282169671l_bool @ SV552 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_A @ SV552 ) ) @ ( sK15_SY856 @ SV552 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1977]) ).

thf(2154,plain,
    ! [SV553: $i] :
      ( ( ! [SY2426: $i,SY2427: $i] :
            ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV553 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2426 ) @ SY2427 ) ) )
        | ( hBOOL @ ( hAPP_P282169671l_bool @ SV553 @ ( sK13_X1 @ SV553 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1978]) ).

thf(2155,plain,
    ! [SV554: $i] :
      ( ( ! [SY2428: $i] :
            ( ( ( hAPP_val_option_val @ some_val @ SV554 )
             != ( hAPP_val_option_val @ some_val @ SY2428 ) )
            | ( SV554 = SY2428 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1979]) ).

thf(2156,plain,
    ! [SV555: $i] :
      ( ( ! [SY2429: $i] :
            ( ( SV555 != SY2429 )
            | ( ( hAPP_val_option_val @ some_val @ SV555 )
              = ( hAPP_val_option_val @ some_val @ SY2429 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1980]) ).

thf(2157,plain,
    ! [SV556: $i] :
      ( ( ! [SY2430: $i] :
            ( ~ ( hBOOL @ ( member_nat @ SV556 @ SY2430 ) )
            | ( hBOOL @ ( hAPP_nat_bool @ SY2430 @ SV556 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1981]) ).

thf(2158,plain,
    ! [SV557: $i] :
      ( ( ! [SY2431: $i] :
            ( ~ ( hBOOL @ ( hAPP_nat_bool @ SY2431 @ SV557 ) )
            | ( hBOOL @ ( member_nat @ SV557 @ SY2431 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1982]) ).

thf(2159,plain,
    ! [SV168: $i] :
      ( ( ! [SY1399: $i,SY1400: $i] :
            ( ( ( fun_up204312361on_val @ SV168 @ SY1399 @ SY1400 )
             != SV168 )
            | ( ( hAPP_P2094403585on_val @ SV168 @ SY1399 )
              = SY1400 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1983]) ).

thf(2160,plain,
    ! [SV168: $i] :
      ( ( ! [SY1401: $i,SY1402: $i] :
            ( ( ( hAPP_P2094403585on_val @ SV168 @ SY1401 )
             != SY1402 )
            | ( ( fun_up204312361on_val @ SV168 @ SY1401 @ SY1402 )
              = SV168 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1984]) ).

thf(2161,plain,
    ! [SV558: $i] :
      ( ( ! [SY2432: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ SV558 @ SY2432 ) )
            | ( hBOOL @ ( hAPP_P282169671l_bool @ SY2432 @ SV558 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1985]) ).

thf(2162,plain,
    ! [SV559: $i] :
      ( ( ! [SY2433: $i] :
            ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SY2433 @ SV559 ) )
            | ( hBOOL @ ( member773094996on_val @ SV559 @ SY2433 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1986]) ).

thf(2163,plain,
    ! [SV560: $i] :
      ( ( ! [SY2434: $i] :
            ( ~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SY2434 @ SV560 ) ) @ ( sK29_SY863 @ SY2434 @ SV560 ) ) @ SY2434 ) )
                    | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SY2434 @ SV560 ) ) @ ( sK29_SY863 @ SY2434 @ SV560 ) ) @ SV560 ) ) )
                | ~ ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SY2434 @ SV560 ) ) @ ( sK29_SY863 @ SY2434 @ SV560 ) ) @ SY2434 ) )
                    | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SY2434 @ SV560 ) ) @ ( sK29_SY863 @ SY2434 @ SV560 ) ) @ SV560 ) ) ) )
            | ( SY2434 = SV560 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1987]) ).

thf(2164,plain,
    ! [SV561: $i] :
      ( ( ! [SY2435: $i] :
            ( ( SY2435 != SV561 )
            | ~ ( ~ ! [SY2436: $i,SY2437: $i] :
                      ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2436 ) @ SY2437 ) @ SY2435 ) )
                      | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2436 ) @ SY2437 ) @ SV561 ) ) )
                | ~ ! [SY2438: $i,SY2439: $i] :
                      ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2438 ) @ SY2439 ) @ SV561 ) )
                      | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2438 ) @ SY2439 ) @ SY2435 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1988]) ).

thf(2165,plain,
    ! [SV562: $i,SV461: $i,SV337: $i,SV169: $i] :
      ( ( ! [SY2440: $i] :
            ~ ( hBOOL @ ( wTrt @ SV169 @ SV337 @ SV461 @ ( throw_list_char @ SV562 ) @ SY2440 ) )
        | ~ ( ~ ( hBOOL @ ( wTrt @ SV169 @ SV337 @ SV461 @ SV562 @ ( sK1_T_r @ SV562 @ SV461 @ SV337 @ SV169 ) ) )
            | ~ ( hBOOL @ ( is_refT @ ( sK1_T_r @ SV562 @ SV461 @ SV337 @ SV169 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1989]) ).

thf(2166,plain,
    ! [SV563: $i] :
      ( ( ! [SY2441: $i] :
            ( ! [SY2442: $i,SY2443: $i] :
                ( SY2441
               != ( seq_list_char @ ( lAss_list_char @ SV563 @ ( val_list_char @ SY2442 ) ) @ SY2443 ) )
            | ( hBOOL @ ( assigned @ SV563 @ SY2441 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1990]) ).

thf(2167,plain,
    ! [SV564: $i] :
      ( ( ! [SY2444: $i] :
            ( ~ ( hBOOL @ ( assigned @ SV564 @ SY2444 ) )
            | ( SY2444
              = ( seq_list_char @ ( lAss_list_char @ SV564 @ ( val_list_char @ ( sK2_V_3 @ SY2444 @ SV564 ) ) ) @ ( sK3_SY853 @ SY2444 @ SV564 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1991]) ).

thf(2168,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ SX0 )
            | ~ ( hBOOL @ SX1 )
            | ( ( bool @ SX0 )
              = ( bool @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( hBOOL @ SX0 )
            | ( hBOOL @ SX1 )
            | ( ( bool @ SX0 )
              = ( bool @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1992]) ).

thf(2169,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( ( bool @ SX0 )
             != ( bool @ SX1 ) )
            | ~ ( hBOOL @ SX0 )
            | ( hBOOL @ SX1 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( ( bool @ SX0 )
             != ( bool @ SX1 ) )
            | ~ ( hBOOL @ SX1 )
            | ( hBOOL @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1993]) ).

thf(2170,plain,
    ! [SV338: $i,SV170: $i] :
      ( ( ~ ! [SY1885: $i,SY1886: $i] :
              ( ( SY1885 != SY1886 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV170 @ SY1886 @ SV338 ) @ SY1885 )
                = SV338 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1994]) ).

thf(2171,plain,
    ! [SV338: $i,SV170: $i] :
      ( ( ~ ! [SY1887: $i,SY1888: $i] :
              ( ( SY1887 = SY1888 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV170 @ SY1888 @ SV338 ) @ SY1887 )
                = ( hAPP_l207779698on_val @ SV170 @ SY1887 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1994]) ).

thf(2172,plain,
    ! [SV171: $i,SV339: $i] :
      ( ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa807100911_sconf @ p @ SV339 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( wTrt @ p @ ha @ SV339 @ ea @ SV171 ) )
          | ~ ( ~ ( hBOOL @ ( wTrt @ p @ h_a @ SV339 @ e_a @ ( sK6_T_3 @ SV339 @ SV171 ) ) )
              | ~ ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK6_T_3 @ SV339 @ SV171 ) @ SV171 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1995]) ).

thf(2173,plain,
    ! [SV565: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV565 @ ( sK54_X1 @ SV565 ) ) )
        | ! [SY2445: $i,SY2446: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV565 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2445 ) @ SY2446 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1996]) ).

thf(2174,plain,
    ! [SV566: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV566 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK52_A @ SV566 ) ) @ ( sK53_SY880 @ SV566 ) ) ) )
        | ! [SY2447: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV566 @ SY2447 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1997]) ).

thf(2175,plain,
    ! [SV567: $i] :
      ( ( ! [SY2448: $i] :
            ( ~ ( hBOOL @ ( member763590124on_val @ SV567 @ SY2448 ) )
            | ( hBOOL @ ( hAPP_P159683425l_bool @ SY2448 @ SV567 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1998]) ).

thf(2176,plain,
    ! [SV568: $i] :
      ( ( ! [SY2449: $i] :
            ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SY2449 @ SV568 ) )
            | ( hBOOL @ ( member763590124on_val @ SV568 @ SY2449 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1999]) ).

thf(2177,plain,
    ! [SV340: $i,SV172: $i] :
      ( ( ~ ! [SY1889: $i] :
              ( ! [SY1890: $i] :
                  ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV172 ) @ SV340 )
                 != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1889 ) @ SY1890 ) )
              | ( SV172 = SY1889 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2000]) ).

thf(2178,plain,
    ! [SV340: $i,SV172: $i] :
      ( ( ~ ! [SY1891: $i,SY1892: $i] :
              ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV172 ) @ SV340 )
               != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1891 ) @ SY1892 ) )
              | ( SV340 = SY1892 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2000]) ).

thf(2179,plain,
    ! [SV569: $i] :
      ( ( ! [SY2450: $i] :
            ( ~ ( hBOOL @ ( member1251428284t_char @ SV569 @ SY2450 ) )
            | ( hBOOL @ ( hAPP_P449474095r_bool @ SY2450 @ SV569 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2001]) ).

thf(2180,plain,
    ! [SV570: $i] :
      ( ( ! [SY2451: $i] :
            ( ~ ( hBOOL @ ( hAPP_P449474095r_bool @ SY2451 @ SV570 ) )
            | ( hBOOL @ ( member1251428284t_char @ SV570 @ SY2451 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2002]) ).

thf(2181,plain,
    ! [SV341: $i,SV173: $i] :
      ( ( ~ ! [SY1893: $i,SY1894: $i] :
              ( ( SV173 != SY1893 )
              | ( SV341 != SY1894 )
              | ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
                = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1893 ) @ SY1894 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2003]) ).

thf(2182,plain,
    ! [SV341: $i,SV173: $i] :
      ( ( ~ ~ ( ~ ! [SY1895: $i] :
                    ( ! [SY1896: $i] :
                        ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
                       != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1895 ) @ SY1896 ) )
                    | ( SV173 = SY1895 ) )
              | ~ ! [SY1897: $i,SY1898: $i] :
                    ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
                     != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1897 ) @ SY1898 ) )
                    | ( SV341 = SY1898 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2003]) ).

thf(2183,plain,
    ! [SV342: $i,SV174: $i] :
      ( ( ~ ! [SY1899: $i,SY1900: $i] :
              ( ( SY1900 != SY1899 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV174 @ SY1899 @ SV342 ) @ SY1900 )
                = SV342 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2004]) ).

thf(2184,plain,
    ! [SV342: $i,SV174: $i] :
      ( ( ~ ! [SY1901: $i,SY1902: $i] :
              ( ( SY1902 = SY1901 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV174 @ SY1901 @ SV342 ) @ SY1902 )
                = ( hAPP_l207779698on_val @ SV174 @ SY1902 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2004]) ).

thf(2185,plain,
    ! [SV343: $i,SV175: $i] :
      ( ( ~ ! [SY1903: $i] :
              ( ! [SY1904: $i] :
                  ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV175 ) @ SV343 )
                 != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1903 ) @ SY1904 ) )
              | ( SV175 = SY1903 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2005]) ).

thf(2186,plain,
    ! [SV343: $i,SV175: $i] :
      ( ( ~ ! [SY1905: $i,SY1906: $i] :
              ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV175 ) @ SV343 )
               != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1905 ) @ SY1906 ) )
              | ( SV343 = SY1906 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2005]) ).

thf(2187,plain,
    ! [SV571: $i] :
      ( ( ! [SY2452: $i] :
            ( ~ ( hBOOL @ ( member649088532al_val @ SV571 @ SY2452 ) )
            | ( hBOOL @ ( hAPP_P929938951l_bool @ SY2452 @ SV571 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2006]) ).

thf(2188,plain,
    ! [SV572: $i] :
      ( ( ! [SY2453: $i] :
            ( ~ ( hBOOL @ ( hAPP_P929938951l_bool @ SY2453 @ SV572 ) )
            | ( hBOOL @ ( member649088532al_val @ SV572 @ SY2453 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2007]) ).

thf(2189,plain,
    ! [SV462: $i,SV344: $i,SV573: $i,SV176: $i] :
      ( ( ~ ( ~ ! [SY2454: $i,SY2455: $i] :
                  ( ( SV176 != SV573 )
                  | ( SV344 != SY2454 )
                  | ( SV462 != SY2455 )
                  | ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                    = ( block_list_char @ SV573 @ SY2454 @ SY2455 ) ) )
            | ~ ~ ( ~ ~ ( ~ ( ! [SY2456: $i,SY2457: $i] :
                                ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                               != ( block_list_char @ SV573 @ SY2456 @ SY2457 ) )
                            | ( SV176 = SV573 ) )
                        | ~ ! [SY2458: $i] :
                              ( ! [SY2459: $i] :
                                  ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                                 != ( block_list_char @ SV573 @ SY2458 @ SY2459 ) )
                              | ( SV344 = SY2458 ) ) )
                  | ~ ! [SY2460: $i,SY2461: $i] :
                        ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                         != ( block_list_char @ SV573 @ SY2460 @ SY2461 ) )
                        | ( SV462 = SY2461 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2008]) ).

thf(2190,plain,
    ! [SV574: $i] :
      ( ( ! [SY2462: $i] :
            ( ~ ( hBOOL @ ( member_list_char @ SV574 @ SY2462 ) )
            | ( hBOOL @ ( hAPP_list_char_bool @ SY2462 @ SV574 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2009]) ).

thf(2191,plain,
    ! [SV575: $i] :
      ( ( ! [SY2463: $i] :
            ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SY2463 @ SV575 ) )
            | ( hBOOL @ ( member_list_char @ SV575 @ SY2463 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2010]) ).

thf(2192,plain,
    ! [SV345: $i,SV177: $i] :
      ( ( ~ ! [SY1917: $i,SY1918: $i] :
              ( ( SV177 != SY1917 )
              | ( SV345 != SY1918 )
              | ( ( seq_list_char @ SV177 @ SV345 )
                = ( seq_list_char @ SY1917 @ SY1918 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2011]) ).

thf(2193,plain,
    ! [SV345: $i,SV177: $i] :
      ( ( ~ ~ ( ~ ! [SY1919: $i] :
                    ( ! [SY1920: $i] :
                        ( ( seq_list_char @ SV177 @ SV345 )
                       != ( seq_list_char @ SY1919 @ SY1920 ) )
                    | ( SV177 = SY1919 ) )
              | ~ ! [SY1921: $i,SY1922: $i] :
                    ( ( ( seq_list_char @ SV177 @ SV345 )
                     != ( seq_list_char @ SY1921 @ SY1922 ) )
                    | ( SV345 = SY1922 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2011]) ).

thf(2194,plain,
    ! [SV576: $i] :
      ( ( ! [SY2464: $i] :
            ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV576 @ SY2464 ) )
        | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV576 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK11_A @ SV576 ) ) @ ( sK12_SY855 @ SV576 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2012]) ).

thf(2195,plain,
    ! [SV577: $i] :
      ( ( ! [SY2465: $i,SY2466: $i] :
            ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV577 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2465 ) @ SY2466 ) ) )
        | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV577 @ ( sK10_X1 @ SV577 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2013]) ).

thf(2196,plain,
    ! [SV578: $i] :
      ( ( ! [SY2467: $i] :
            ( ~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SY2467 @ SV578 ) ) @ ( sK31_SY864 @ SY2467 @ SV578 ) ) @ SY2467 ) )
                    | ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SY2467 @ SV578 ) ) @ ( sK31_SY864 @ SY2467 @ SV578 ) ) @ SV578 ) ) )
                | ~ ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SY2467 @ SV578 ) ) @ ( sK31_SY864 @ SY2467 @ SV578 ) ) @ SY2467 ) )
                    | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SY2467 @ SV578 ) ) @ ( sK31_SY864 @ SY2467 @ SV578 ) ) @ SV578 ) ) ) )
            | ( SY2467 = SV578 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2014]) ).

thf(2197,plain,
    ! [SV579: $i] :
      ( ( ! [SY2468: $i] :
            ( ( SY2468 != SV579 )
            | ~ ( ~ ! [SY2469: $i,SY2470: $i] :
                      ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2469 ) @ SY2470 ) @ SY2468 ) )
                      | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2469 ) @ SY2470 ) @ SV579 ) ) )
                | ~ ! [SY2471: $i,SY2472: $i] :
                      ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2471 ) @ SY2472 ) @ SV579 ) )
                      | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2471 ) @ SY2472 ) @ SY2468 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2015]) ).

thf(2198,plain,
    ! [SV580: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV580 @ ( sK51_X1 @ SV580 ) ) )
        | ! [SY2473: $i,SY2474: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV580 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2473 ) @ SY2474 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2016]) ).

thf(2199,plain,
    ! [SV581: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV581 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK49_A @ SV581 ) ) @ ( sK50_SY879 @ SV581 ) ) ) )
        | ! [SY2475: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV581 @ SY2475 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2017]) ).

thf(2200,plain,
    ! [SV582: $i] :
      ( ( ! [SY2476: $i] :
            ( ~ ( hBOOL @ ( member1542417277on_val @ SV582 @ SY2476 ) )
            | ( hBOOL @ ( hAPP_P1235399154l_bool @ SY2476 @ SV582 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2018]) ).

thf(2201,plain,
    ! [SV583: $i] :
      ( ( ! [SY2477: $i] :
            ( ~ ( hBOOL @ ( hAPP_P1235399154l_bool @ SY2477 @ SV583 ) )
            | ( hBOOL @ ( member1542417277on_val @ SV583 @ SY2477 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2019]) ).

thf(2202,plain,
    ! [SV463: $i,SV346: $i,SV178: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ! [SY2238: $i] :
                          ( ! [SY2239: $i] :
                              ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2238 )
                             != ( hAPP_val_option_val @ some_val @ SY2239 ) )
                          | ( SY2238 = SV346 )
                          | ( SY2238 != SV346 ) )
                    | ~ ! [SY2240: $i,SY2241: $i] :
                          ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2240 )
                           != ( hAPP_val_option_val @ some_val @ SY2241 ) )
                          | ( SY2240 = SV346 )
                          | ( ( hAPP_P2094403585on_val @ SV178 @ SY2240 )
                            = ( hAPP_val_option_val @ some_val @ SY2241 ) ) ) )
              | ~ ~ ( ~ ! [SY2242: $i,SY2243: $i] :
                          ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2242 )
                           != ( hAPP_val_option_val @ some_val @ SY2243 ) )
                          | ( SV463 = SY2243 )
                          | ( SY2242 != SV346 ) )
                    | ~ ! [SY2244: $i,SY2245: $i] :
                          ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2244 )
                           != ( hAPP_val_option_val @ some_val @ SY2245 ) )
                          | ( SV463 = SY2245 )
                          | ( ( hAPP_P2094403585on_val @ SV178 @ SY2244 )
                            = ( hAPP_val_option_val @ some_val @ SY2245 ) ) ) ) )
        | ~ ~ ( ~ ! [SY2246: $i,SY2247: $i] :
                    ( ( SY2246 != SV346 )
                    | ( SV463 != SY2247 )
                    | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2246 )
                      = ( hAPP_val_option_val @ some_val @ SY2247 ) ) )
              | ~ ! [SY2248: $i,SY2249: $i] :
                    ( ( SY2248 = SV346 )
                    | ( ( hAPP_P2094403585on_val @ SV178 @ SY2248 )
                     != ( hAPP_val_option_val @ some_val @ SY2249 ) )
                    | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2248 )
                      = ( hAPP_val_option_val @ some_val @ SY2249 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2020]) ).

thf(2203,plain,
    ! [SV347: $i,SV179: $i] :
      ( ( ~ ! [SY1936: $i,SY1937: $i] :
              ( ( SV179 != SY1936 )
              | ( SV347 != SY1937 )
              | ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
                = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1936 ) @ SY1937 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2021]) ).

thf(2204,plain,
    ! [SV347: $i,SV179: $i] :
      ( ( ~ ~ ( ~ ! [SY1938: $i] :
                    ( ! [SY1939: $i] :
                        ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
                       != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1938 ) @ SY1939 ) )
                    | ( SV179 = SY1938 ) )
              | ~ ! [SY1940: $i,SY1941: $i] :
                    ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
                     != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1940 ) @ SY1941 ) )
                    | ( SV347 = SY1941 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2021]) ).

thf(2205,plain,
    ! [SV584: $i] :
      ( ( ! [SY2478: $i] :
            ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV584 @ SY2478 ) )
        | ( hBOOL @ ( hAPP_P159683425l_bool @ SV584 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK8_A @ SV584 ) ) @ ( sK9_SY854 @ SV584 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2022]) ).

thf(2206,plain,
    ! [SV585: $i] :
      ( ( ! [SY2479: $i,SY2480: $i] :
            ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV585 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2479 ) @ SY2480 ) ) )
        | ( hBOOL @ ( hAPP_P159683425l_bool @ SV585 @ ( sK7_X1 @ SV585 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2023]) ).

thf(2207,plain,
    ! [SV586: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV586 @ ( sK48_X1 @ SV586 ) ) )
        | ! [SY2481: $i,SY2482: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV586 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2481 ) @ SY2482 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2024]) ).

thf(2208,plain,
    ! [SV587: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV587 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK46_A @ SV587 ) ) @ ( sK47_SY878 @ SV587 ) ) ) )
        | ! [SY2483: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV587 @ SY2483 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2025]) ).

thf(2209,plain,
    ! [SV348: $i,SV180: $i] :
      ( ( ~ ! [SY1942: $i,SY1943: $i] :
              ( ( SY1942 != SY1943 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV180 @ SY1943 @ SV348 ) @ SY1942 )
                = SV348 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2026]) ).

thf(2210,plain,
    ! [SV348: $i,SV180: $i] :
      ( ( ~ ! [SY1944: $i,SY1945: $i] :
              ( ( SY1944 = SY1945 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV180 @ SY1945 @ SV348 ) @ SY1944 )
                = ( hAPP_P2094403585on_val @ SV180 @ SY1944 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2026]) ).

thf(2211,plain,
    ! [SV181: $i] :
      ( ( ! [SY1479: $i,SY1480: $i] :
            ( ~ ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV181 @ SY1479 ) @ SY1480 ) )
            | ( hBOOL @ ( d_list_char @ SY1479 @ SY1480 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2027]) ).

thf(2212,plain,
    ! [SV181: $i] :
      ( ( ! [SY1481: $i,SY1482: $i] :
            ( ~ ( hBOOL @ ( d_list_char @ SY1481 @ SY1482 ) )
            | ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV181 @ SY1481 ) @ SY1482 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2028]) ).

thf(2213,plain,
    ! [SV349: $i,SV182: $i] :
      ( ( ~ ! [SY1946: $i] :
              ( ! [SY1947: $i] :
                  ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV182 ) @ SV349 )
                 != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1946 ) @ SY1947 ) )
              | ( SV182 = SY1946 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2029]) ).

thf(2214,plain,
    ! [SV349: $i,SV182: $i] :
      ( ( ~ ! [SY1948: $i,SY1949: $i] :
              ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV182 ) @ SV349 )
               != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1948 ) @ SY1949 ) )
              | ( SV349 = SY1949 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2029]) ).

thf(2215,plain,
    ! [SV588: $i] :
      ( ( ! [SY2484: $i] :
            ( ~ ( hBOOL @ ( member840932460on_val @ SV588 @ SY2484 ) )
            | ( hBOOL @ ( hAPP_P1708370145l_bool @ SY2484 @ SV588 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2030]) ).

thf(2216,plain,
    ! [SV589: $i] :
      ( ( ! [SY2485: $i] :
            ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SY2485 @ SV589 ) )
            | ( hBOOL @ ( member840932460on_val @ SV589 @ SY2485 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2031]) ).

thf(2217,plain,
    ! [SV590: $i] :
      ( ( ! [SY2486: $i] :
            ( ~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SY2486 @ SV590 ) ) @ ( sK33_SY865 @ SY2486 @ SV590 ) ) @ SY2486 ) )
                    | ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SY2486 @ SV590 ) ) @ ( sK33_SY865 @ SY2486 @ SV590 ) ) @ SV590 ) ) )
                | ~ ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SY2486 @ SV590 ) ) @ ( sK33_SY865 @ SY2486 @ SV590 ) ) @ SY2486 ) )
                    | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SY2486 @ SV590 ) ) @ ( sK33_SY865 @ SY2486 @ SV590 ) ) @ SV590 ) ) ) )
            | ( SY2486 = SV590 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2032]) ).

thf(2218,plain,
    ! [SV591: $i] :
      ( ( ! [SY2487: $i] :
            ( ( SY2487 != SV591 )
            | ~ ( ~ ! [SY2488: $i,SY2489: $i] :
                      ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2488 ) @ SY2489 ) @ SY2487 ) )
                      | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2488 ) @ SY2489 ) @ SV591 ) ) )
                | ~ ! [SY2490: $i,SY2491: $i] :
                      ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2490 ) @ SY2491 ) @ SV591 ) )
                      | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2490 ) @ SY2491 ) @ SY2487 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2033]) ).

thf(2219,plain,
    ! [SV592: $i] :
      ( ( ! [SY2492: $i] :
            ( ( ( val_list_char @ SV592 )
             != ( val_list_char @ SY2492 ) )
            | ( SV592 = SY2492 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2034]) ).

thf(2220,plain,
    ! [SV593: $i] :
      ( ( ! [SY2493: $i] :
            ( ( SV593 != SY2493 )
            | ( ( val_list_char @ SV593 )
              = ( val_list_char @ SY2493 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2035]) ).

thf(2221,plain,
    ! [SV350: $i,SV183: $i] :
      ( ( ~ ! [SY1950: $i,SY1951: $i] :
              ( ( SV183 != SY1950 )
              | ( SV350 != SY1951 )
              | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
                = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1950 ) @ SY1951 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2036]) ).

thf(2222,plain,
    ! [SV350: $i,SV183: $i] :
      ( ( ~ ~ ( ~ ! [SY1952: $i] :
                    ( ! [SY1953: $i] :
                        ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
                       != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1952 ) @ SY1953 ) )
                    | ( SV183 = SY1952 ) )
              | ~ ! [SY1954: $i,SY1955: $i] :
                    ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
                     != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1954 ) @ SY1955 ) )
                    | ( SV350 = SY1955 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2036]) ).

thf(2223,plain,
    ! [SV184: $i] :
      ( ( ! [SY1495: $i,SY1496: $i] :
            ( ( ( fun_up1149430426on_val @ SV184 @ SY1495 @ SY1496 )
             != SV184 )
            | ( ( hAPP_l207779698on_val @ SV184 @ SY1495 )
              = SY1496 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2037]) ).

thf(2224,plain,
    ! [SV184: $i] :
      ( ( ! [SY1497: $i,SY1498: $i] :
            ( ( ( hAPP_l207779698on_val @ SV184 @ SY1497 )
             != SY1498 )
            | ( ( fun_up1149430426on_val @ SV184 @ SY1497 @ SY1498 )
              = SV184 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2038]) ).

thf(2225,plain,
    ! [SV351: $i,SV185: $i] :
      ( ( ~ ! [SY1956: $i,SY1957: $i] :
              ( ( SY1957 != SY1956 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV185 @ SY1956 @ SV351 ) @ SY1957 )
                = SV351 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2039]) ).

thf(2226,plain,
    ! [SV351: $i,SV185: $i] :
      ( ( ~ ! [SY1958: $i,SY1959: $i] :
              ( ( SY1959 = SY1958 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV185 @ SY1958 @ SV351 ) @ SY1959 )
                = ( hAPP_P2094403585on_val @ SV185 @ SY1959 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2039]) ).

thf(2227,plain,
    ! [SV352: $i,SV186: $i] :
      ( ( ~ ! [SY1960: $i,SY1961: $i] :
              ( ( SV186 != SY1960 )
              | ( SV352 != SY1961 )
              | ( ( lAss_list_char @ SV186 @ SV352 )
                = ( lAss_list_char @ SY1960 @ SY1961 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2040]) ).

thf(2228,plain,
    ! [SV352: $i,SV186: $i] :
      ( ( ~ ~ ( ~ ! [SY1962: $i] :
                    ( ! [SY1963: $i] :
                        ( ( lAss_list_char @ SV186 @ SV352 )
                       != ( lAss_list_char @ SY1962 @ SY1963 ) )
                    | ( SV186 = SY1962 ) )
              | ~ ! [SY1964: $i,SY1965: $i] :
                    ( ( ( lAss_list_char @ SV186 @ SV352 )
                     != ( lAss_list_char @ SY1964 @ SY1965 ) )
                    | ( SV352 = SY1965 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2040]) ).

thf(2229,plain,
    ! [SV594: $i] :
      ( ( ! [SY2494: $i] :
            ( ~ ( hBOOL @ ( member1417904245al_val @ SV594 @ SY2494 ) )
            | ( hBOOL @ ( hAPP_P943837928l_bool @ SY2494 @ SV594 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2041]) ).

thf(2230,plain,
    ! [SV595: $i] :
      ( ( ! [SY2495: $i] :
            ( ~ ( hBOOL @ ( hAPP_P943837928l_bool @ SY2495 @ SV595 ) )
            | ( hBOOL @ ( member1417904245al_val @ SV595 @ SY2495 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2042]) ).

thf(2231,plain,
    ! [SV464: $i,SV353: $i,SV187: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ! [SY2250: $i] :
                          ( ! [SY2251: $i] :
                              ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2250 )
                             != ( hAPP_val_option_val @ some_val @ SY2251 ) )
                          | ( SY2250 = SV353 )
                          | ( SY2250 != SV353 ) )
                    | ~ ! [SY2252: $i,SY2253: $i] :
                          ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2252 )
                           != ( hAPP_val_option_val @ some_val @ SY2253 ) )
                          | ( SY2252 = SV353 )
                          | ( ( hAPP_l207779698on_val @ SV187 @ SY2252 )
                            = ( hAPP_val_option_val @ some_val @ SY2253 ) ) ) )
              | ~ ~ ( ~ ! [SY2254: $i,SY2255: $i] :
                          ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2254 )
                           != ( hAPP_val_option_val @ some_val @ SY2255 ) )
                          | ( SV464 = SY2255 )
                          | ( SY2254 != SV353 ) )
                    | ~ ! [SY2256: $i,SY2257: $i] :
                          ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2256 )
                           != ( hAPP_val_option_val @ some_val @ SY2257 ) )
                          | ( SV464 = SY2257 )
                          | ( ( hAPP_l207779698on_val @ SV187 @ SY2256 )
                            = ( hAPP_val_option_val @ some_val @ SY2257 ) ) ) ) )
        | ~ ~ ( ~ ! [SY2258: $i,SY2259: $i] :
                    ( ( SY2258 != SV353 )
                    | ( SV464 != SY2259 )
                    | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2258 )
                      = ( hAPP_val_option_val @ some_val @ SY2259 ) ) )
              | ~ ! [SY2260: $i,SY2261: $i] :
                    ( ( SY2260 = SV353 )
                    | ( ( hAPP_l207779698on_val @ SV187 @ SY2260 )
                     != ( hAPP_val_option_val @ some_val @ SY2261 ) )
                    | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2260 )
                      = ( hAPP_val_option_val @ some_val @ SY2261 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2043]) ).

thf(2232,plain,
    ! [SV354: $i,SV190: $i,SV3: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV3 @ SV190 )
          = ( hAPP_val_option_val @ some_val @ SV354 ) )
        = $false )
      | ( ( ( fun_up1149430426on_val @ SV3 @ SV190 @ ( hAPP_val_option_val @ some_val @ SV354 ) )
          = SV3 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2044]) ).

thf(2233,plain,
    ! [SV355: $i,SV191: $i,SV4: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ SV4 @ SV191 )
          = ( hAPP_val_option_val @ some_val @ SV355 ) )
        = $false )
      | ( ( ( fun_up204312361on_val @ SV4 @ SV191 @ ( hAPP_val_option_val @ some_val @ SV355 ) )
          = SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2045]) ).

thf(2234,plain,
    ! [SV596: $i,SV465: $i,SV356: $i,SV192: $i,SV5: $i] :
      ( ( ( ( fun_up1149430426on_val @ SV5 @ SV192 @ ( hAPP_val_option_val @ some_val @ SV356 ) )
         != ( fun_up1149430426on_val @ SV465 @ SV192 @ ( hAPP_val_option_val @ some_val @ SV596 ) ) )
        | ( SV356 = SV596 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2046]) ).

thf(2235,plain,
    ! [SV597: $i,SV466: $i,SV357: $i,SV193: $i,SV6: $i] :
      ( ( ( ( fun_up204312361on_val @ SV6 @ SV193 @ ( hAPP_val_option_val @ some_val @ SV357 ) )
         != ( fun_up204312361on_val @ SV466 @ SV193 @ ( hAPP_val_option_val @ some_val @ SV597 ) ) )
        | ( SV357 = SV597 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2047]) ).

thf(2236,plain,
    ! [SV358: $i,SV195: $i,SV9: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV9 @ SV195 )
          = SV358 )
        = $false )
      | ( ( ( fun_up1149430426on_val @ SV9 @ SV195 @ SV358 )
          = SV9 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2049]) ).

thf(2237,plain,
    ! [SV196: $i,SV10: $i,SV467: $i,SV359: $i] :
      ( ( ( SV359 = SV467 )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV10 @ SV467 @ SV196 ) @ SV359 )
          = ( hAPP_l207779698on_val @ SV10 @ SV359 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2050]) ).

thf(2238,plain,
    ! [SV360: $i,SV197: $i,SV11: $i,SV598: $i,SV468: $i] :
      ( ( ( SV468 = SV598 )
        | ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SV468 @ SV197 ) @ SV598 @ SV360 )
          = ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SV598 @ SV360 ) @ SV468 @ SV197 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2051]) ).

thf(2239,plain,
    ! [SV25: $i,SV470: $i,SV363: $i,SV203: $i] :
      ( ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV203 @ SV363 @ SV470 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV203 @ SV470 @ SV25 ) )
          | ( hBOOL @ ( widen_2090681816t_char @ SV203 @ SV363 @ SV25 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2055]) ).

thf(2240,plain,
    ! [SV599: $i,SV471: $i,SV364: $i,SV204: $i,SV26: $i] :
      ( ( ! [SY2496: $i,SY2497: $i] :
            ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV26 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV204 ) @ SV364 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV471 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV599 ) @ SY2496 ) ) ) @ ( red @ SY2497 ) ) )
        | ( hBOOL @ ( hext @ SV204 @ SV599 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2056]) ).

thf(2241,plain,
    ! [SV27: $i,SV600: $i,SV472: $i,SV365: $i,SV205: $i] :
      ( ( ! [SY2498: $i,SY2499: $i,SY2500: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV205 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV365 ) @ SV472 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV600 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2498 ) @ SY2499 ) ) ) @ ( red @ SY2500 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV205 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV365 ) @ ( map_ad325961431ar_val @ SV27 @ SV472 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV600 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2498 ) @ ( map_ad325961431ar_val @ SV27 @ SY2499 ) ) ) ) @ ( red @ SY2500 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2057]) ).

thf(2242,plain,
    ! [SV366: $i,SV206: $i,SV28: $i,SV601: $i,SV473: $i] :
      ( ( ~ ( hBOOL @ ( hext @ SV473 @ SV601 ) )
        | ~ ( hBOOL @ ( conf_P373316194t_char @ SV28 @ SV473 @ SV206 @ SV366 ) )
        | ( hBOOL @ ( conf_P373316194t_char @ SV28 @ SV601 @ SV206 @ SV366 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2058]) ).

thf(2243,plain,
    ! [SV29: $i,SV602: $i,SV474: $i,SV367: $i,SV207: $i] :
      ( ( ~ ( hBOOL @ ( conf_P373316194t_char @ SV207 @ SV367 @ SV474 @ SV602 ) )
        | ~ ( hBOOL @ ( widen_2090681816t_char @ SV207 @ SV602 @ SV29 ) )
        | ( hBOOL @ ( conf_P373316194t_char @ SV207 @ SV367 @ SV474 @ SV29 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2059]) ).

thf(2244,plain,
    ! [SV603: $i,SV476: $i,SV369: $i,SV209: $i,SV31: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV31 @ SV209 @ ( val_list_char @ SV369 ) ) ) @ SV476 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV369 ) ) @ SV476 ) ) @ ( red @ SV603 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2061]) ).

thf(2245,plain,
    ! [SV32: $i,SV477: $i,SV370: $i,SV210: $i] :
      ( ( ( ( ( hAPP_P2094403585on_val @ SV210 @ SV370 )
           != ( hAPP_val_option_val @ some_val @ SV477 ) ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ SV32 @ SV210 ) @ SV370 )
          = ( hAPP_val_option_val @ some_val @ SV477 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2062]) ).

thf(2246,plain,
    ! [SV33: $i,SV478: $i,SV371: $i,SV211: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ SV211 @ SV371 )
           != ( hAPP_val_option_val @ some_val @ SV478 ) ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV33 @ SV211 ) @ SV371 )
          = ( hAPP_val_option_val @ some_val @ SV478 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2063]) ).

thf(2247,plain,
    ! [SV34: $i,SV604: $i,SV479: $i,SV372: $i,SV212: $i] :
      ( ( ! [SY2501: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV212 ) @ SV372 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV479 ) @ SV604 ) ) @ ( red @ SY2501 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV34 @ SV212 ) ) @ SV372 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV34 @ SV479 ) ) @ SV604 ) ) @ ( red @ SY2501 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2064]) ).

thf(2248,plain,
    ! [SV35: $i,SV605: $i,SV480: $i,SV373: $i,SV213: $i] :
      ( ( ! [SY2502: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV213 ) @ SV373 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV480 ) @ SV605 ) ) @ ( red @ SY2502 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV213 @ SV35 ) ) @ SV373 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV480 @ SV35 ) ) @ SV605 ) ) @ ( red @ SY2502 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2065]) ).

thf(2249,plain,
    ! [SV216: $i,SV38: $i,SV606: $i,SV483: $i,SV376: $i] :
      ( ( ! [SY2503: $i] :
            ( ! [SY2504: $i] :
                ~ ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SV606 @ SY2503 @ SY2504 ) )
            | ~ ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SV606 @ SV38 @ SV216 ) )
            | ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SV606 @ ( seq_list_char @ SY2503 @ SV38 ) @ SV216 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2068]) ).

thf(2250,plain,
    ! [SV40: $i,SV377: $i,SV217: $i] :
      ( ( ( hBOOL @ ( hext @ SV217 @ SV377 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hext @ SV377 @ SV40 ) )
          | ( hBOOL @ ( hext @ SV217 @ SV40 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2069]) ).

thf(2251,plain,
    ! [SV41: $i,SV607: $i,SV484: $i,SV378: $i,SV218: $i] :
      ( ( ! [SY2505: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV218 @ SV378 @ SV484 @ SV607 @ SY2505 ) )
            | ~ ( hBOOL @ ( hext @ SV378 @ SV41 ) )
            | ( hBOOL @ ( wTrt @ SV218 @ SV41 @ SV484 @ SV607 @ SY2505 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2070]) ).

thf(2252,plain,
    ! [SV43: $i,SV608: $i,SV485: $i,SV379: $i,SV220: $i] :
      ( ( ! [SY2506: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV220 ) @ SV379 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV485 ) @ SV608 ) ) @ ( transi2024712006on_val @ ( red @ SY2506 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV220 @ SV43 ) ) @ SV379 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV485 @ SV43 ) ) @ SV608 ) ) @ ( transi2024712006on_val @ ( red @ SY2506 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2071]) ).

thf(2253,plain,
    ! [SV44: $i,SV609: $i,SV486: $i,SV380: $i,SV221: $i] :
      ( ( ! [SY2507: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV221 ) @ SV380 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV486 ) @ SV609 ) ) @ ( transi2024712006on_val @ ( red @ SY2507 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV44 @ SV221 ) ) @ SV380 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV44 @ SV486 ) ) @ SV609 ) ) @ ( transi2024712006on_val @ ( red @ SY2507 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2072]) ).

thf(2254,plain,
    ! [SV45: $i,SV610: $i,SV487: $i,SV381: $i,SV222: $i] :
      ( ( ! [SY2508: $i,SY2509: $i,SY2510: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV222 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV381 ) @ SV487 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV610 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2508 ) @ SY2509 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2510 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV222 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV381 ) @ ( map_ad325961431ar_val @ SV45 @ SV487 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV610 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2508 ) @ ( map_ad325961431ar_val @ SV45 @ SY2509 ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2510 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2073]) ).

thf(2255,plain,
    ! [SV382: $i,SV223: $i,SV46: $i,SV611: $i,SV488: $i] :
      ( ( ! [SY2511: $i,SY2512: $i,SY2513: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV488 ) @ SV611 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2511 ) @ SY2512 ) ) @ ( red @ SY2513 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV488 @ SV46 @ SV223 @ SV382 ) ) @ SV611 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2511 @ SV46 @ SV223 @ SV382 ) ) @ SY2512 ) ) @ ( red @ SY2513 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2074]) ).

thf(2256,plain,
    ! [SV383: $i,SV224: $i,SV47: $i,SV612: $i,SV489: $i] :
      ( ( ! [SY2514: $i,SY2515: $i,SY2516: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV489 ) @ SV612 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2514 ) @ SY2515 ) ) @ ( red @ SY2516 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV47 ) @ SV224 @ SV383 @ SV489 ) ) @ SV612 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV47 ) @ SV224 @ SV383 @ SY2514 ) ) @ SY2515 ) ) @ ( red @ SY2516 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2075]) ).

thf(2257,plain,
    ! [SV384: $i,SV225: $i,SV48: $i,SV613: $i,SV490: $i] :
      ( ( ! [SY2517: $i,SY2518: $i,SY2519: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV490 ) @ SV613 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2517 ) @ SY2518 ) ) @ ( transi2024712006on_val @ ( red @ SY2519 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV490 @ SV48 @ SV225 @ SV384 ) ) @ SV613 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2517 @ SV48 @ SV225 @ SV384 ) ) @ SY2518 ) ) @ ( transi2024712006on_val @ ( red @ SY2519 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2076]) ).

thf(2258,plain,
    ! [SV226: $i,SV49: $i,SV614: $i,SV491: $i,SV385: $i] :
      ( ( ! [SY2520: $i,SY2521: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV385 ) @ SV491 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV614 ) @ SY2520 ) ) @ ( red @ SY2521 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV385 @ SV49 @ SV226 ) ) @ SV491 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV614 @ SV49 @ SV226 ) ) @ SY2520 ) ) @ ( red @ SY2521 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2077]) ).

thf(2259,plain,
    ! [SV227: $i,SV50: $i,SV615: $i,SV492: $i,SV386: $i] :
      ( ( ! [SY2522: $i,SY2523: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV386 ) @ SV492 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV615 ) @ SY2522 ) ) @ ( transi2024712006on_val @ ( red @ SY2523 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV386 @ SV50 @ SV227 ) ) @ SV492 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV615 @ SV50 @ SV227 ) ) @ SY2522 ) ) @ ( transi2024712006on_val @ ( red @ SY2523 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2078]) ).

thf(2260,plain,
    ! [SV616: $i,SV493: $i,SV388: $i,SV229: $i,SV52: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV52 ) @ SV229 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV388 ) @ SV493 ) ) @ ( red @ SV616 ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV52 ) ) @ SV229 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV388 ) ) @ SV493 ) ) @ ( red @ SV616 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2079]) ).

thf(2261,plain,
    ! [SV617: $i,SV494: $i,SV389: $i,SV230: $i,SV53: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV53 ) @ SV230 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV389 ) @ SV494 ) ) @ ( transi2024712006on_val @ ( red @ SV617 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV53 ) ) @ SV230 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV389 ) ) @ SV494 ) ) @ ( transi2024712006on_val @ ( red @ SV617 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2080]) ).

thf(2262,plain,
    ! [SV618: $i,SV495: $i,SV390: $i,SV231: $i,SV54: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV54 ) @ SV231 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV390 ) ) @ SV495 ) ) @ ( transi2024712006on_val @ ( red @ SV618 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV54 ) ) @ SV231 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV390 ) ) @ SV495 ) ) @ ( transi2024712006on_val @ ( red @ SV618 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2081]) ).

thf(2263,plain,
    ! [SV619: $i,SV498: $i,SV393: $i,SV234: $i,SV57: $i] :
      ( ( ! [SY2524: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( throw_list_char @ SV57 ) @ SV234 @ SV393 @ SV498 ) ) @ SV619 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV57 ) ) @ SV619 ) ) @ ( red @ SY2524 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2084]) ).

thf(2264,plain,
    ! [SV620: $i,SV499: $i,SV394: $i,SV235: $i,SV58: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ ( throw_list_char @ SV58 ) @ SV235 @ SV394 ) ) @ SV499 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV58 ) ) @ SV499 ) ) @ ( red @ SV620 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2085]) ).

thf(2265,plain,
    ! [SV395: $i,SV236: $i,SV59: $i,SV621: $i,SV500: $i] :
      ( ( ! [SY2525: $i,SY2526: $i,SY2527: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV500 ) @ SV621 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2525 ) @ SY2526 ) ) @ ( red @ SY2527 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV500 @ SV59 @ SV236 @ SV395 ) ) @ SV621 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY2525 @ SV59 @ SV236 @ SV395 ) ) @ SY2526 ) ) @ ( red @ SY2527 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2086]) ).

thf(2266,plain,
    ! [SV622: $i,SV501: $i,SV396: $i,SV237: $i,SV60: $i] :
      ( ( ! [SY2528: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ ( val_list_char @ SV60 ) @ SV237 @ SV396 @ SV501 ) ) @ SV622 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV60 ) ) @ SV622 ) ) @ ( red @ SY2528 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2087]) ).

thf(2267,plain,
    ! [SV397: $i,SV238: $i,SV61: $i,SV623: $i,SV502: $i] :
      ( ( ! [SY2529: $i,SY2530: $i,SY2531: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV502 ) @ SV623 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2529 ) @ SY2530 ) ) @ ( transi2024712006on_val @ ( red @ SY2531 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV502 @ SV61 @ SV238 @ SV397 ) ) @ SV623 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY2529 @ SV61 @ SV238 @ SV397 ) ) @ SY2530 ) ) @ ( transi2024712006on_val @ ( red @ SY2531 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2088]) ).

thf(2268,plain,
    ! [SV62: $i,SV624: $i,SV503: $i,SV398: $i,SV239: $i] :
      ( ( ! [SY2532: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV239 ) @ SV398 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV503 ) @ SV624 ) ) @ ( red @ SY2532 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV62 @ SV239 ) ) @ SV398 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV62 @ SV503 ) ) @ SV624 ) ) @ ( red @ SY2532 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2089]) ).

thf(2269,plain,
    ! [SV64: $i,SV625: $i,SV505: $i,SV400: $i,SV241: $i] :
      ( ( ! [SY2533: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV241 ) @ SV400 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV505 ) @ SV625 ) ) @ ( transi2024712006on_val @ ( red @ SY2533 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV64 @ SV241 ) ) @ SV400 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV64 @ SV505 ) ) @ SV625 ) ) @ ( transi2024712006on_val @ ( red @ SY2533 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2091]) ).

thf(2270,plain,
    ! [SV242: $i,SV65: $i,SV626: $i,SV506: $i,SV401: $i] :
      ( ( ! [SY2534: $i,SY2535: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV401 ) @ SV506 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV626 ) @ SY2534 ) ) @ ( red @ SY2535 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV401 @ SV65 @ SV242 ) ) @ SV506 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV626 @ SV65 @ SV242 ) ) @ SY2534 ) ) @ ( red @ SY2535 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2092]) ).

thf(2271,plain,
    ! [SV243: $i,SV66: $i,SV627: $i,SV507: $i,SV402: $i] :
      ( ( ! [SY2536: $i,SY2537: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV402 ) @ SV507 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV627 ) @ SY2536 ) ) @ ( red @ SY2537 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV66 ) @ SV243 @ SV402 ) ) @ SV507 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV66 ) @ SV243 @ SV627 ) ) @ SY2536 ) ) @ ( red @ SY2537 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2093]) ).

thf(2272,plain,
    ! [SV628: $i,SV508: $i,SV403: $i,SV244: $i,SV67: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( throw_list_char @ SV67 ) @ SV244 @ SV403 ) ) @ SV508 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV67 ) ) @ SV508 ) ) @ ( red @ SV628 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2094]) ).

thf(2273,plain,
    ! [SV245: $i,SV68: $i,SV629: $i,SV509: $i,SV404: $i] :
      ( ( ! [SY2538: $i,SY2539: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV404 ) @ SV509 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV629 ) @ SY2538 ) ) @ ( transi2024712006on_val @ ( red @ SY2539 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV404 @ SV68 @ SV245 ) ) @ SV509 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV629 @ SV68 @ SV245 ) ) @ SY2538 ) ) @ ( transi2024712006on_val @ ( red @ SY2539 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2095]) ).

thf(2274,plain,
    ! [SV630: $i,SV511: $i,SV407: $i,SV252: $i,SV77: $i] :
      ( ( is_bool @ ( wTrt @ SV77 @ SV252 @ SV407 @ SV511 @ SV630 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2097]) ).

thf(2275,plain,
    ! [SV408: $i,SV278: $i,SV103: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ SV103 @ SV278 )
          = SV408 )
        = $false )
      | ( ( ( fun_up204312361on_val @ SV103 @ SV278 @ SV408 )
          = SV103 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2099]) ).

thf(2276,plain,
    ! [SV279: $i,SV104: $i,SV512: $i,SV409: $i] :
      ( ( ( SV409 = SV512 )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV104 @ SV512 @ SV279 ) @ SV409 )
          = ( hAPP_P2094403585on_val @ SV104 @ SV409 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2100]) ).

thf(2277,plain,
    ! [SV410: $i,SV280: $i,SV105: $i,SV631: $i,SV513: $i] :
      ( ( ( SV513 = SV631 )
        | ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV105 @ SV513 @ SV280 ) @ SV631 @ SV410 )
          = ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV105 @ SV631 @ SV410 ) @ SV513 @ SV280 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2101]) ).

thf(2278,plain,
    ! [SV108: $i,SV413: $i,SV283: $i] :
      ( ( ( hBOOL @ ( member1251428284t_char @ SV283 @ ( dom_Pr695701035ar_val @ SV413 ) ) )
        = $false )
      | ( ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ SV108 @ SV413 ) @ SV283 )
          = ( hAPP_P2094403585on_val @ SV413 @ SV283 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2103]) ).

thf(2279,plain,
    ! [SV109: $i,SV414: $i,SV284: $i] :
      ( ( ( hBOOL @ ( member_list_char @ SV284 @ ( dom_list_char_val @ SV414 ) ) )
        = $false )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV109 @ SV414 ) @ SV284 )
          = ( hAPP_l207779698on_val @ SV414 @ SV284 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2104]) ).

thf(2280,plain,
    ! [SV632: $i,SV515: $i,SV421: $i,SV291: $i,SV116: $i] :
      ( ( ! [SY2540: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV116 @ SV291 @ ( seq_list_char @ ( lAss_list_char @ SV116 @ ( val_list_char @ SV421 ) ) @ ( val_list_char @ SV515 ) ) ) ) @ SV632 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV515 ) ) @ SV632 ) ) @ ( red @ SY2540 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2109]) ).

thf(2281,plain,
    ! [SV292: $i,SV117: $i,SV516: $i,SV422: $i] :
      ( ( ( hBOOL @ ( member1251428284t_char @ SV422 @ ( dom_Pr695701035ar_val @ SV516 ) ) )
        = $true )
      | ( ( ( map_ad1185064968ar_val @ ( fun_up204312361on_val @ SV117 @ SV422 @ ( hAPP_val_option_val @ some_val @ SV292 ) ) @ SV516 )
          = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ SV117 @ SV516 ) @ SV422 @ ( hAPP_val_option_val @ some_val @ SV292 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2110]) ).

thf(2282,plain,
    ! [SV293: $i,SV118: $i,SV517: $i,SV423: $i] :
      ( ( ( hBOOL @ ( member_list_char @ SV423 @ ( dom_list_char_val @ SV517 ) ) )
        = $true )
      | ( ( ( map_ad325961431ar_val @ ( fun_up1149430426on_val @ SV118 @ SV423 @ ( hAPP_val_option_val @ some_val @ SV293 ) ) @ SV517 )
          = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ SV118 @ SV517 ) @ SV423 @ ( hAPP_val_option_val @ some_val @ SV293 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2111]) ).

thf(2283,plain,
    ! [SV518: $i,SV294: $i,SV119: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ SV119 @ SV294 )
          = ( hAPP_val_option_val @ some_val @ SV518 ) )
        = $false )
      | ( ( hBOOL @ ( member1251428284t_char @ SV294 @ ( dom_Pr695701035ar_val @ SV119 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2112]) ).

thf(2284,plain,
    ! [SV519: $i,SV295: $i,SV120: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV120 @ SV295 )
          = ( hAPP_val_option_val @ some_val @ SV519 ) )
        = $false )
      | ( ( hBOOL @ ( member_list_char @ SV295 @ ( dom_list_char_val @ SV120 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2113]) ).

thf(2285,plain,
    ! [SV121: $i,SV296: $i,SV633: $i,SV520: $i,SV424: $i] :
      ( ( ! [SY2541: $i,SY2542: $i,SY2543: $i,SY2544: $i,SY2545: $i,SY2546: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV424 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ ( fun_up1149430426on_val @ SV633 @ SY2541 @ ( hAPP_val_option_val @ some_val @ SY2542 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2543 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2544 ) @ SY2545 ) ) ) @ ( red @ SY2546 ) ) )
            | ( ( hAPP_l207779698on_val @ SY2545 @ SY2541 )
             != ( hAPP_val_option_val @ some_val @ SV296 ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY2541 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SY2541 @ ( val_list_char @ SY2542 ) ) @ SV424 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ SV633 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY2541 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SY2541 @ ( val_list_char @ SV296 ) ) @ SY2543 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2544 ) @ ( fun_up1149430426on_val @ SY2545 @ SY2541 @ ( hAPP_l207779698on_val @ SV633 @ SY2541 ) ) ) ) ) @ ( red @ SY2546 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2114]) ).

thf(2286,plain,
    ! [SV634: $i,SV521: $i,SV425: $i,SV297: $i,SV122: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV122 @ ( val_list_char @ SV297 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV425 ) @ SV521 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV425 ) @ ( fun_up1149430426on_val @ SV521 @ SV122 @ ( hAPP_val_option_val @ some_val @ SV297 ) ) ) ) ) @ ( red @ SV634 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2115]) ).

thf(2287,plain,
    ! [SV635: $i,SV522: $i,SV426: $i,SV300: $i,SV125: $i] :
      ( ( ( ( block_list_char @ SV125 @ SV300 @ SV426 )
         != ( lAss_list_char @ SV522 @ SV635 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2118]) ).

thf(2288,plain,
    ! [SV523: $i,SV431: $i,SV305: $i,SV130: $i] :
      ( ( ( val_list_char @ SV130 )
        = ( block_list_char @ SV305 @ SV431 @ SV523 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2123]) ).

thf(2289,plain,
    ! [SV524: $i,SV432: $i,SV306: $i,SV131: $i] :
      ( ( ( block_list_char @ SV131 @ SV306 @ SV432 )
        = ( val_list_char @ SV524 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2124]) ).

thf(2290,plain,
    ! [SV525: $i,SV433: $i,SV307: $i,SV132: $i] :
      ( ( ( seq_list_char @ SV132 @ SV307 )
        = ( lAss_list_char @ SV433 @ SV525 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2125]) ).

thf(2291,plain,
    ! [SV526: $i,SV434: $i,SV308: $i,SV133: $i] :
      ( ( ( lAss_list_char @ SV133 @ SV308 )
        = ( seq_list_char @ SV434 @ SV526 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2126]) ).

thf(2292,plain,
    ! [SV636: $i,SV527: $i,SV435: $i,SV309: $i,SV134: $i] :
      ( ( ( ( seq_list_char @ SV134 @ SV309 )
         != ( block_list_char @ SV435 @ SV527 @ SV636 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2127]) ).

thf(2293,plain,
    ! [SV637: $i,SV528: $i,SV436: $i,SV310: $i,SV135: $i] :
      ( ( ( ( lAss_list_char @ SV135 @ SV310 )
         != ( block_list_char @ SV436 @ SV528 @ SV637 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2128]) ).

thf(2294,plain,
    ! [SV638: $i,SV529: $i,SV437: $i,SV311: $i,SV136: $i] :
      ( ( ( ( block_list_char @ SV136 @ SV311 @ SV437 )
         != ( seq_list_char @ SV529 @ SV638 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2129]) ).

thf(2295,plain,
    ! [SV137: $i,SV639: $i,SV530: $i,SV438: $i,SV312: $i] :
      ( ( ! [SY2547: $i,SY2548: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV312 ) @ SV438 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV530 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV639 ) @ SY2547 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2548 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV137 @ SV312 ) ) @ SV438 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV639 ) @ ( fun_up1149430426on_val @ SY2547 @ SV137 @ ( hAPP_val_option_val @ some_val @ SV530 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2548 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2130]) ).

thf(2296,plain,
    ! [SV439: $i,SV313: $i,SV138: $i,SV640: $i,SV531: $i] :
      ( ( ! [SY2549: $i,SY2550: $i,SY2551: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV531 ) @ SV640 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY2549 ) ) @ SY2550 ) ) @ ( transi2024712006on_val @ ( red @ SY2551 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV138 ) @ SY2550 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV439 ) ) @ ( transi2024712006on_val @ ( red @ SY2551 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV531 @ SV138 ) ) @ SV640 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV439 ) ) @ ( transi2024712006on_val @ ( red @ SY2551 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2131]) ).

thf(2297,plain,
    ! [SV139: $i,SV641: $i,SV532: $i,SV440: $i,SV314: $i] :
      ( ( ! [SY2552: $i,SY2553: $i,SY2554: $i,SY2555: $i,SY2556: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV314 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV440 ) @ ( fun_up1149430426on_val @ SV532 @ SV641 @ ( hAPP_val_option_val @ some_val @ SY2552 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2553 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2554 ) @ SY2555 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2556 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV641 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SV641 @ ( val_list_char @ SY2552 ) ) @ SV314 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV440 ) @ SV532 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV641 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SV641 @ ( val_list_char @ ( the_val @ ( hAPP_l207779698on_val @ SY2555 @ SV641 ) ) ) ) @ SY2553 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2554 ) @ ( fun_up1149430426on_val @ SY2555 @ SV641 @ ( hAPP_l207779698on_val @ SV532 @ SV641 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2556 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2132]) ).

thf(2298,plain,
    ! [SV140: $i,SV642: $i,SV533: $i,SV441: $i,SV315: $i] :
      ( ( ! [SY2557: $i,SY2558: $i,SY2559: $i,SY2560: $i,SY2561: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV315 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ ( fun_up1149430426on_val @ SV533 @ SV642 @ ( hAPP_val_option_val @ some_val @ SY2557 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2558 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2559 ) @ SY2560 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2561 ) ) ) )
            | ~ ( hBOOL @ ( final_list_char @ SY2558 ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV642 @ SV140 @ ( seq_list_char @ ( lAss_list_char @ SV642 @ ( val_list_char @ SY2557 ) ) @ SV315 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ SV533 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2558 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2559 ) @ ( fun_up1149430426on_val @ SY2560 @ SV642 @ ( hAPP_l207779698on_val @ SV533 @ SV642 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2561 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2133]) ).

thf(2299,plain,
    ! [SV442: $i,SV316: $i,SV142: $i,SV643: $i,SV534: $i] :
      ( ( ! [SY2562: $i,SY2563: $i,SY2564: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV534 ) @ SV643 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2562 ) @ SY2563 ) ) @ ( transi2024712006on_val @ ( red @ SY2564 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV142 ) @ SV316 @ SV442 @ SV534 ) ) @ SV643 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV142 ) @ SV316 @ SV442 @ SY2562 ) ) @ SY2563 ) ) @ ( transi2024712006on_val @ ( red @ SY2564 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2134]) ).

thf(2300,plain,
    ! [SV644: $i,SV535: $i,SV443: $i,SV317: $i,SV143: $i] :
      ( ( ! [SY2565: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV143 @ SV317 @ ( seq_list_char @ ( lAss_list_char @ SV143 @ ( val_list_char @ SV443 ) ) @ ( throw_list_char @ ( val_list_char @ ( addr @ SV535 ) ) ) ) ) ) @ SV644 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ SV535 ) ) ) ) @ SV644 ) ) @ ( red @ SY2565 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2135]) ).

thf(2301,plain,
    ! [SV645: $i,SV536: $i,SV444: $i,SV318: $i,SV144: $i] :
      ( ( ! [SY2566: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV144 ) @ SV318 @ SV444 @ ( throw_list_char @ SV536 ) ) ) @ SV645 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV536 ) ) @ SV645 ) ) @ ( red @ SY2566 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2136]) ).

thf(2302,plain,
    ! [SV145: $i,SV646: $i,SV537: $i,SV445: $i,SV319: $i] :
      ( ( ! [SY2567: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV319 ) @ SV445 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV537 ) ) @ SV646 ) ) @ ( transi2024712006on_val @ ( red @ SY2567 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV145 @ SV319 ) ) @ SV445 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV537 ) ) @ SV646 ) ) @ ( transi2024712006on_val @ ( red @ SY2567 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2137]) ).

thf(2303,plain,
    ! [SV146: $i,SV647: $i,SV538: $i,SV446: $i,SV320: $i] :
      ( ( ! [SY2568: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV320 ) @ SV446 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV538 ) ) @ SV647 ) ) @ ( transi2024712006on_val @ ( red @ SY2568 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV320 @ SV146 ) ) @ SV446 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV538 ) ) @ SV647 ) ) @ ( transi2024712006on_val @ ( red @ SY2568 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2138]) ).

thf(2304,plain,
    ! [SV447: $i,SV321: $i,SV147: $i,SV648: $i,SV539: $i] :
      ( ( ! [SY2569: $i,SY2570: $i,SY2571: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV539 ) @ SV648 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2569 ) ) @ SY2570 ) ) @ ( transi2024712006on_val @ ( red @ SY2571 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV539 @ SV147 @ SV321 @ SV447 ) ) @ SV648 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2569 ) ) @ SY2570 ) ) @ ( transi2024712006on_val @ ( red @ SY2571 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2139]) ).

thf(2305,plain,
    ! [SV322: $i,SV148: $i,SV649: $i,SV540: $i,SV448: $i] :
      ( ( ! [SY2572: $i,SY2573: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV448 ) @ SV540 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV649 ) ) @ SY2572 ) ) @ ( transi2024712006on_val @ ( red @ SY2573 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV448 @ SV148 @ SV322 ) ) @ SV540 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV649 ) ) @ SY2572 ) ) @ ( transi2024712006on_val @ ( red @ SY2573 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2140]) ).

thf(2306,plain,
    ! [SV323: $i,SV149: $i,SV650: $i,SV541: $i,SV449: $i] :
      ( ( ! [SY2574: $i,SY2575: $i,SY2576: $i,SY2577: $i,SY2578: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2574 ) @ SY2575 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY2576 ) ) @ SY2577 ) ) @ ( transi2024712006on_val @ ( red @ SY2578 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV449 ) @ SY2577 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SV650 ) ) @ ( transi2024712006on_val @ ( red @ SY2578 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2574 @ SV149 @ SV323 @ SV449 ) ) @ SY2575 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SV650 ) ) @ ( transi2024712006on_val @ ( red @ SY2578 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2141]) ).

thf(2307,plain,
    ! [SV651: $i,SV542: $i,SV450: $i,SV324: $i,SV150: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV150 @ SV324 @ ( throw_list_char @ ( val_list_char @ ( addr @ SV450 ) ) ) ) ) @ SV542 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ SV450 ) ) ) ) @ SV542 ) ) @ ( red @ SV651 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2142]) ).

thf(2308,plain,
    ! [SV451: $i,SV325: $i,SV151: $i,SV652: $i,SV543: $i] :
      ( ( ! [SY2579: $i,SY2580: $i,SY2581: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV543 ) @ SV652 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY2579 ) ) @ SY2580 ) ) @ ( transi2024712006on_val @ ( red @ SY2581 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV543 @ SV151 @ SV325 @ SV451 ) ) @ SV652 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY2579 ) ) @ SY2580 ) ) @ ( transi2024712006on_val @ ( red @ SY2581 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2143]) ).

thf(2309,plain,
    ! [SV152: $i,SV653: $i,SV544: $i,SV452: $i,SV326: $i] :
      ( ( ! [SY2582: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV326 ) @ SV452 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV544 ) ) @ SV653 ) ) @ ( transi2024712006on_val @ ( red @ SY2582 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV152 @ SV326 ) ) @ SV452 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV544 ) ) @ SV653 ) ) @ ( transi2024712006on_val @ ( red @ SY2582 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2144]) ).

thf(2310,plain,
    ! [SV153: $i,SV654: $i,SV545: $i,SV453: $i,SV327: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV327 ) @ SV453 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ SV545 ) ) @ ( transi2024712006on_val @ ( red @ SV654 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV153 @ SV327 ) ) @ SV453 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ SV545 ) ) @ ( transi2024712006on_val @ ( red @ SV654 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2145]) ).

thf(2311,plain,
    ! [SV454: $i,SV328: $i,SV154: $i,SV655: $i,SV546: $i] :
      ( ( ! [SY2583: $i,SY2584: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV546 @ SV655 @ SY2583 @ SY2584 @ nt ) )
            | ( hBOOL @ ( wTrt @ SV546 @ SV655 @ SY2583 @ ( fAcc_list_char @ SY2584 @ SV154 @ SV328 ) @ SV454 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2146]) ).

thf(2312,plain,
    ! [SV156: $i,SV656: $i,SV547: $i,SV456: $i,SV330: $i] :
      ( ( ! [SY2585: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV330 @ SV456 @ SV547 @ SV656 @ SY2585 ) )
            | ~ ( hBOOL @ ( is_refT @ SY2585 ) )
            | ( hBOOL @ ( wTrt @ SV330 @ SV456 @ SV547 @ ( throw_list_char @ SV656 ) @ SV156 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2147]) ).

thf(2313,plain,
    ! [SV157: $i,SV548: $i,SV457: $i,SV331: $i,SV657: $i] :
      ( ( ! [SY2586: $i,SY2587: $i,SY2588: $i,SY2589: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV657 ) @ SY2586 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY2587 ) ) @ SY2588 ) ) @ ( transi2024712006on_val @ ( red @ SY2589 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV331 ) @ SY2588 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SV548 ) ) @ ( transi2024712006on_val @ ( red @ SY2589 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV657 @ SV157 @ SV331 ) ) @ SY2586 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SV548 ) ) @ ( transi2024712006on_val @ ( red @ SY2589 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2148]) ).

thf(2314,plain,
    ! [SV658: $i,SV549: $i,SV458: $i,SV332: $i,SV158: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV158 ) @ SV332 @ ( throw_list_char @ SV458 ) ) ) @ SV549 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV458 ) ) @ SV549 ) ) @ ( red @ SV658 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2149]) ).

thf(2315,plain,
    ! [SV333: $i,SV159: $i,SV659: $i,SV550: $i,SV459: $i] :
      ( ( ! [SY2590: $i,SY2591: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV459 ) @ SV550 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV659 ) @ SY2590 ) ) @ ( transi2024712006on_val @ ( red @ SY2591 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV159 ) @ SV333 @ SV459 ) ) @ SV550 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV159 ) @ SV333 @ SV659 ) ) @ SY2590 ) ) @ ( transi2024712006on_val @ ( red @ SY2591 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2150]) ).

thf(2316,plain,
    ! [SV334: $i,SV160: $i,SV660: $i,SV551: $i,SV460: $i] :
      ( ( ! [SY2592: $i,SY2593: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV460 ) @ SV551 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV660 ) ) @ SY2592 ) ) @ ( transi2024712006on_val @ ( red @ SY2593 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV460 @ SV160 @ SV334 ) ) @ SV551 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV660 ) ) @ SY2592 ) ) @ ( transi2024712006on_val @ ( red @ SY2593 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2151]) ).

thf(2317,plain,
    ! [SV552: $i] :
      ( ( ( ! [SY2425: $i] :
              ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV552 @ SY2425 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV552 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_A @ SV552 ) ) @ ( sK15_SY856 @ SV552 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2153]) ).

thf(2318,plain,
    ! [SV553: $i] :
      ( ( ( ! [SY2426: $i,SY2427: $i] :
              ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV553 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2426 ) @ SY2427 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV553 @ ( sK13_X1 @ SV553 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2154]) ).

thf(2319,plain,
    ! [SV661: $i,SV554: $i] :
      ( ( ( ( hAPP_val_option_val @ some_val @ SV554 )
         != ( hAPP_val_option_val @ some_val @ SV661 ) )
        | ( SV554 = SV661 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2155]) ).

thf(2320,plain,
    ! [SV662: $i,SV555: $i] :
      ( ( ( SV555 != SV662 )
        | ( ( hAPP_val_option_val @ some_val @ SV555 )
          = ( hAPP_val_option_val @ some_val @ SV662 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2156]) ).

thf(2321,plain,
    ! [SV663: $i,SV556: $i] :
      ( ( ~ ( hBOOL @ ( member_nat @ SV556 @ SV663 ) )
        | ( hBOOL @ ( hAPP_nat_bool @ SV663 @ SV556 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2157]) ).

thf(2322,plain,
    ! [SV557: $i,SV664: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ SV664 @ SV557 ) )
        | ( hBOOL @ ( member_nat @ SV557 @ SV664 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2158]) ).

thf(2323,plain,
    ! [SV665: $i,SV168: $i] :
      ( ( ! [SY2594: $i] :
            ( ( ( fun_up204312361on_val @ SV168 @ SV665 @ SY2594 )
             != SV168 )
            | ( ( hAPP_P2094403585on_val @ SV168 @ SV665 )
              = SY2594 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2159]) ).

thf(2324,plain,
    ! [SV666: $i,SV168: $i] :
      ( ( ! [SY2595: $i] :
            ( ( ( hAPP_P2094403585on_val @ SV168 @ SV666 )
             != SY2595 )
            | ( ( fun_up204312361on_val @ SV168 @ SV666 @ SY2595 )
              = SV168 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2160]) ).

thf(2325,plain,
    ! [SV667: $i,SV558: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ SV558 @ SV667 ) )
        | ( hBOOL @ ( hAPP_P282169671l_bool @ SV667 @ SV558 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2161]) ).

thf(2326,plain,
    ! [SV559: $i,SV668: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV668 @ SV559 ) )
        | ( hBOOL @ ( member773094996on_val @ SV559 @ SV668 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2162]) ).

thf(2327,plain,
    ! [SV560: $i,SV669: $i] :
      ( ( ~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV669 ) )
                | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV560 ) ) )
            | ~ ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV669 ) )
                | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV560 ) ) ) )
        | ( SV669 = SV560 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2163]) ).

thf(2328,plain,
    ! [SV561: $i,SV670: $i] :
      ( ( ( SV670 != SV561 )
        | ~ ( ~ ! [SY2596: $i,SY2597: $i] :
                  ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2596 ) @ SY2597 ) @ SV670 ) )
                  | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2596 ) @ SY2597 ) @ SV561 ) ) )
            | ~ ! [SY2598: $i,SY2599: $i] :
                  ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2598 ) @ SY2599 ) @ SV561 ) )
                  | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2598 ) @ SY2599 ) @ SV670 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2164]) ).

thf(2329,plain,
    ! [SV562: $i,SV461: $i,SV337: $i,SV169: $i] :
      ( ( ( ! [SY2440: $i] :
              ~ ( hBOOL @ ( wTrt @ SV169 @ SV337 @ SV461 @ ( throw_list_char @ SV562 ) @ SY2440 ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( wTrt @ SV169 @ SV337 @ SV461 @ SV562 @ ( sK1_T_r @ SV562 @ SV461 @ SV337 @ SV169 ) ) )
              | ~ ( hBOOL @ ( is_refT @ ( sK1_T_r @ SV562 @ SV461 @ SV337 @ SV169 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2165]) ).

thf(2330,plain,
    ! [SV563: $i,SV671: $i] :
      ( ( ! [SY2600: $i,SY2601: $i] :
            ( SV671
           != ( seq_list_char @ ( lAss_list_char @ SV563 @ ( val_list_char @ SY2600 ) ) @ SY2601 ) )
        | ( hBOOL @ ( assigned @ SV563 @ SV671 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2166]) ).

thf(2331,plain,
    ! [SV672: $i,SV564: $i] :
      ( ( ~ ( hBOOL @ ( assigned @ SV564 @ SV672 ) )
        | ( SV672
          = ( seq_list_char @ ( lAss_list_char @ SV564 @ ( val_list_char @ ( sK2_V_3 @ SV672 @ SV564 ) ) ) @ ( sK3_SY853 @ SV672 @ SV564 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2167]) ).

thf(2332,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ SX0 )
            | ~ ( hBOOL @ SX1 )
            | ( ( bool @ SX0 )
              = ( bool @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2168]) ).

thf(2333,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( hBOOL @ SX0 )
            | ( hBOOL @ SX1 )
            | ( ( bool @ SX0 )
              = ( bool @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2168]) ).

thf(2334,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( ( bool @ SX0 )
             != ( bool @ SX1 ) )
            | ~ ( hBOOL @ SX0 )
            | ( hBOOL @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2169]) ).

thf(2335,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( ( bool @ SX0 )
             != ( bool @ SX1 ) )
            | ~ ( hBOOL @ SX1 )
            | ( hBOOL @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2169]) ).

thf(2336,plain,
    ! [SV338: $i,SV170: $i] :
      ( ( ! [SY1885: $i,SY1886: $i] :
            ( ( SY1885 != SY1886 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV170 @ SY1886 @ SV338 ) @ SY1885 )
              = SV338 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2170]) ).

thf(2337,plain,
    ! [SV338: $i,SV170: $i] :
      ( ( ! [SY1887: $i,SY1888: $i] :
            ( ( SY1887 = SY1888 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV170 @ SY1888 @ SV338 ) @ SY1887 )
              = ( hAPP_l207779698on_val @ SV170 @ SY1887 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2171]) ).

thf(2338,plain,
    ! [SV171: $i,SV339: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt @ p @ ha @ SV339 @ ea @ SV171 ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( wTrt @ p @ h_a @ SV339 @ e_a @ ( sK6_T_3 @ SV339 @ SV171 ) ) )
              | ~ ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK6_T_3 @ SV339 @ SV171 ) @ SV171 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa807100911_sconf @ p @ SV339 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2172]) ).

thf(2339,plain,
    ! [SV565: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV565 @ ( sK54_X1 @ SV565 ) ) ) )
        = $true )
      | ( ( ! [SY2445: $i,SY2446: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV565 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2445 ) @ SY2446 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2173]) ).

thf(2340,plain,
    ! [SV566: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV566 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK52_A @ SV566 ) ) @ ( sK53_SY880 @ SV566 ) ) ) ) )
        = $true )
      | ( ( ! [SY2447: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV566 @ SY2447 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2174]) ).

thf(2341,plain,
    ! [SV673: $i,SV567: $i] :
      ( ( ~ ( hBOOL @ ( member763590124on_val @ SV567 @ SV673 ) )
        | ( hBOOL @ ( hAPP_P159683425l_bool @ SV673 @ SV567 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2175]) ).

thf(2342,plain,
    ! [SV568: $i,SV674: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV674 @ SV568 ) )
        | ( hBOOL @ ( member763590124on_val @ SV568 @ SV674 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2176]) ).

thf(2343,plain,
    ! [SV340: $i,SV172: $i] :
      ( ( ! [SY1889: $i] :
            ( ! [SY1890: $i] :
                ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV172 ) @ SV340 )
               != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1889 ) @ SY1890 ) )
            | ( SV172 = SY1889 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2177]) ).

thf(2344,plain,
    ! [SV340: $i,SV172: $i] :
      ( ( ! [SY1891: $i,SY1892: $i] :
            ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV172 ) @ SV340 )
             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1891 ) @ SY1892 ) )
            | ( SV340 = SY1892 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2178]) ).

thf(2345,plain,
    ! [SV675: $i,SV569: $i] :
      ( ( ~ ( hBOOL @ ( member1251428284t_char @ SV569 @ SV675 ) )
        | ( hBOOL @ ( hAPP_P449474095r_bool @ SV675 @ SV569 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2179]) ).

thf(2346,plain,
    ! [SV570: $i,SV676: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P449474095r_bool @ SV676 @ SV570 ) )
        | ( hBOOL @ ( member1251428284t_char @ SV570 @ SV676 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2180]) ).

thf(2347,plain,
    ! [SV341: $i,SV173: $i] :
      ( ( ! [SY1893: $i,SY1894: $i] :
            ( ( SV173 != SY1893 )
            | ( SV341 != SY1894 )
            | ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
              = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1893 ) @ SY1894 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2181]) ).

thf(2348,plain,
    ! [SV341: $i,SV173: $i] :
      ( ( ~ ( ~ ! [SY1895: $i] :
                  ( ! [SY1896: $i] :
                      ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
                     != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1895 ) @ SY1896 ) )
                  | ( SV173 = SY1895 ) )
            | ~ ! [SY1897: $i,SY1898: $i] :
                  ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
                   != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1897 ) @ SY1898 ) )
                  | ( SV341 = SY1898 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2182]) ).

thf(2349,plain,
    ! [SV342: $i,SV174: $i] :
      ( ( ! [SY1899: $i,SY1900: $i] :
            ( ( SY1900 != SY1899 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV174 @ SY1899 @ SV342 ) @ SY1900 )
              = SV342 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2183]) ).

thf(2350,plain,
    ! [SV342: $i,SV174: $i] :
      ( ( ! [SY1901: $i,SY1902: $i] :
            ( ( SY1902 = SY1901 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV174 @ SY1901 @ SV342 ) @ SY1902 )
              = ( hAPP_l207779698on_val @ SV174 @ SY1902 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2184]) ).

thf(2351,plain,
    ! [SV343: $i,SV175: $i] :
      ( ( ! [SY1903: $i] :
            ( ! [SY1904: $i] :
                ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV175 ) @ SV343 )
               != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1903 ) @ SY1904 ) )
            | ( SV175 = SY1903 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2185]) ).

thf(2352,plain,
    ! [SV343: $i,SV175: $i] :
      ( ( ! [SY1905: $i,SY1906: $i] :
            ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV175 ) @ SV343 )
             != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1905 ) @ SY1906 ) )
            | ( SV343 = SY1906 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2186]) ).

thf(2353,plain,
    ! [SV677: $i,SV571: $i] :
      ( ( ~ ( hBOOL @ ( member649088532al_val @ SV571 @ SV677 ) )
        | ( hBOOL @ ( hAPP_P929938951l_bool @ SV677 @ SV571 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2187]) ).

thf(2354,plain,
    ! [SV572: $i,SV678: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P929938951l_bool @ SV678 @ SV572 ) )
        | ( hBOOL @ ( member649088532al_val @ SV572 @ SV678 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2188]) ).

thf(2355,plain,
    ! [SV462: $i,SV344: $i,SV573: $i,SV176: $i] :
      ( ( ~ ! [SY2454: $i,SY2455: $i] :
              ( ( SV176 != SV573 )
              | ( SV344 != SY2454 )
              | ( SV462 != SY2455 )
              | ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                = ( block_list_char @ SV573 @ SY2454 @ SY2455 ) ) )
        | ~ ~ ( ~ ~ ( ~ ( ! [SY2456: $i,SY2457: $i] :
                            ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                           != ( block_list_char @ SV573 @ SY2456 @ SY2457 ) )
                        | ( SV176 = SV573 ) )
                    | ~ ! [SY2458: $i] :
                          ( ! [SY2459: $i] :
                              ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                             != ( block_list_char @ SV573 @ SY2458 @ SY2459 ) )
                          | ( SV344 = SY2458 ) ) )
              | ~ ! [SY2460: $i,SY2461: $i] :
                    ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                     != ( block_list_char @ SV573 @ SY2460 @ SY2461 ) )
                    | ( SV462 = SY2461 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2189]) ).

thf(2356,plain,
    ! [SV679: $i,SV574: $i] :
      ( ( ~ ( hBOOL @ ( member_list_char @ SV574 @ SV679 ) )
        | ( hBOOL @ ( hAPP_list_char_bool @ SV679 @ SV574 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2190]) ).

thf(2357,plain,
    ! [SV575: $i,SV680: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SV680 @ SV575 ) )
        | ( hBOOL @ ( member_list_char @ SV575 @ SV680 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2191]) ).

thf(2358,plain,
    ! [SV345: $i,SV177: $i] :
      ( ( ! [SY1917: $i,SY1918: $i] :
            ( ( SV177 != SY1917 )
            | ( SV345 != SY1918 )
            | ( ( seq_list_char @ SV177 @ SV345 )
              = ( seq_list_char @ SY1917 @ SY1918 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2192]) ).

thf(2359,plain,
    ! [SV345: $i,SV177: $i] :
      ( ( ~ ( ~ ! [SY1919: $i] :
                  ( ! [SY1920: $i] :
                      ( ( seq_list_char @ SV177 @ SV345 )
                     != ( seq_list_char @ SY1919 @ SY1920 ) )
                  | ( SV177 = SY1919 ) )
            | ~ ! [SY1921: $i,SY1922: $i] :
                  ( ( ( seq_list_char @ SV177 @ SV345 )
                   != ( seq_list_char @ SY1921 @ SY1922 ) )
                  | ( SV345 = SY1922 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2193]) ).

thf(2360,plain,
    ! [SV576: $i] :
      ( ( ( ! [SY2464: $i] :
              ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV576 @ SY2464 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV576 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK11_A @ SV576 ) ) @ ( sK12_SY855 @ SV576 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2194]) ).

thf(2361,plain,
    ! [SV577: $i] :
      ( ( ( ! [SY2465: $i,SY2466: $i] :
              ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV577 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2465 ) @ SY2466 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV577 @ ( sK10_X1 @ SV577 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2195]) ).

thf(2362,plain,
    ! [SV578: $i,SV681: $i] :
      ( ( ~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV681 ) )
                | ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV578 ) ) )
            | ~ ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV681 ) )
                | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV578 ) ) ) )
        | ( SV681 = SV578 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2196]) ).

thf(2363,plain,
    ! [SV579: $i,SV682: $i] :
      ( ( ( SV682 != SV579 )
        | ~ ( ~ ! [SY2602: $i,SY2603: $i] :
                  ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2602 ) @ SY2603 ) @ SV682 ) )
                  | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2602 ) @ SY2603 ) @ SV579 ) ) )
            | ~ ! [SY2604: $i,SY2605: $i] :
                  ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2604 ) @ SY2605 ) @ SV579 ) )
                  | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2604 ) @ SY2605 ) @ SV682 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2197]) ).

thf(2364,plain,
    ! [SV580: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV580 @ ( sK51_X1 @ SV580 ) ) ) )
        = $true )
      | ( ( ! [SY2473: $i,SY2474: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV580 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2473 ) @ SY2474 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2198]) ).

thf(2365,plain,
    ! [SV581: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV581 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK49_A @ SV581 ) ) @ ( sK50_SY879 @ SV581 ) ) ) ) )
        = $true )
      | ( ( ! [SY2475: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV581 @ SY2475 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2199]) ).

thf(2366,plain,
    ! [SV683: $i,SV582: $i] :
      ( ( ~ ( hBOOL @ ( member1542417277on_val @ SV582 @ SV683 ) )
        | ( hBOOL @ ( hAPP_P1235399154l_bool @ SV683 @ SV582 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2200]) ).

thf(2367,plain,
    ! [SV583: $i,SV684: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P1235399154l_bool @ SV684 @ SV583 ) )
        | ( hBOOL @ ( member1542417277on_val @ SV583 @ SV684 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2201]) ).

thf(2368,plain,
    ! [SV463: $i,SV346: $i,SV178: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ! [SY2238: $i] :
                          ( ! [SY2239: $i] :
                              ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2238 )
                             != ( hAPP_val_option_val @ some_val @ SY2239 ) )
                          | ( SY2238 = SV346 )
                          | ( SY2238 != SV346 ) )
                    | ~ ! [SY2240: $i,SY2241: $i] :
                          ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2240 )
                           != ( hAPP_val_option_val @ some_val @ SY2241 ) )
                          | ( SY2240 = SV346 )
                          | ( ( hAPP_P2094403585on_val @ SV178 @ SY2240 )
                            = ( hAPP_val_option_val @ some_val @ SY2241 ) ) ) )
              | ~ ~ ( ~ ! [SY2242: $i,SY2243: $i] :
                          ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2242 )
                           != ( hAPP_val_option_val @ some_val @ SY2243 ) )
                          | ( SV463 = SY2243 )
                          | ( SY2242 != SV346 ) )
                    | ~ ! [SY2244: $i,SY2245: $i] :
                          ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2244 )
                           != ( hAPP_val_option_val @ some_val @ SY2245 ) )
                          | ( SV463 = SY2245 )
                          | ( ( hAPP_P2094403585on_val @ SV178 @ SY2244 )
                            = ( hAPP_val_option_val @ some_val @ SY2245 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2202]) ).

thf(2369,plain,
    ! [SV178: $i,SV463: $i,SV346: $i] :
      ( ( ~ ~ ( ~ ! [SY2246: $i,SY2247: $i] :
                    ( ( SY2246 != SV346 )
                    | ( SV463 != SY2247 )
                    | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2246 )
                      = ( hAPP_val_option_val @ some_val @ SY2247 ) ) )
              | ~ ! [SY2248: $i,SY2249: $i] :
                    ( ( SY2248 = SV346 )
                    | ( ( hAPP_P2094403585on_val @ SV178 @ SY2248 )
                     != ( hAPP_val_option_val @ some_val @ SY2249 ) )
                    | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2248 )
                      = ( hAPP_val_option_val @ some_val @ SY2249 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2202]) ).

thf(2370,plain,
    ! [SV347: $i,SV179: $i] :
      ( ( ! [SY1936: $i,SY1937: $i] :
            ( ( SV179 != SY1936 )
            | ( SV347 != SY1937 )
            | ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
              = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1936 ) @ SY1937 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2203]) ).

thf(2371,plain,
    ! [SV347: $i,SV179: $i] :
      ( ( ~ ( ~ ! [SY1938: $i] :
                  ( ! [SY1939: $i] :
                      ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
                     != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1938 ) @ SY1939 ) )
                  | ( SV179 = SY1938 ) )
            | ~ ! [SY1940: $i,SY1941: $i] :
                  ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
                   != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1940 ) @ SY1941 ) )
                  | ( SV347 = SY1941 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2204]) ).

thf(2372,plain,
    ! [SV584: $i] :
      ( ( ( ! [SY2478: $i] :
              ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV584 @ SY2478 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV584 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK8_A @ SV584 ) ) @ ( sK9_SY854 @ SV584 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2205]) ).

thf(2373,plain,
    ! [SV585: $i] :
      ( ( ( ! [SY2479: $i,SY2480: $i] :
              ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV585 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2479 ) @ SY2480 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV585 @ ( sK7_X1 @ SV585 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2206]) ).

thf(2374,plain,
    ! [SV586: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV586 @ ( sK48_X1 @ SV586 ) ) ) )
        = $true )
      | ( ( ! [SY2481: $i,SY2482: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV586 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2481 ) @ SY2482 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2207]) ).

thf(2375,plain,
    ! [SV587: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV587 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK46_A @ SV587 ) ) @ ( sK47_SY878 @ SV587 ) ) ) ) )
        = $true )
      | ( ( ! [SY2483: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV587 @ SY2483 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2208]) ).

thf(2376,plain,
    ! [SV348: $i,SV180: $i] :
      ( ( ! [SY1942: $i,SY1943: $i] :
            ( ( SY1942 != SY1943 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV180 @ SY1943 @ SV348 ) @ SY1942 )
              = SV348 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2209]) ).

thf(2377,plain,
    ! [SV348: $i,SV180: $i] :
      ( ( ! [SY1944: $i,SY1945: $i] :
            ( ( SY1944 = SY1945 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV180 @ SY1945 @ SV348 ) @ SY1944 )
              = ( hAPP_P2094403585on_val @ SV180 @ SY1944 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2210]) ).

thf(2378,plain,
    ! [SV685: $i,SV181: $i] :
      ( ( ! [SY2606: $i] :
            ( ~ ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV181 @ SV685 ) @ SY2606 ) )
            | ( hBOOL @ ( d_list_char @ SV685 @ SY2606 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2211]) ).

thf(2379,plain,
    ! [SV181: $i,SV686: $i] :
      ( ( ! [SY2607: $i] :
            ( ~ ( hBOOL @ ( d_list_char @ SV686 @ SY2607 ) )
            | ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV181 @ SV686 ) @ SY2607 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2212]) ).

thf(2380,plain,
    ! [SV349: $i,SV182: $i] :
      ( ( ! [SY1946: $i] :
            ( ! [SY1947: $i] :
                ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV182 ) @ SV349 )
               != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1946 ) @ SY1947 ) )
            | ( SV182 = SY1946 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2213]) ).

thf(2381,plain,
    ! [SV349: $i,SV182: $i] :
      ( ( ! [SY1948: $i,SY1949: $i] :
            ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV182 ) @ SV349 )
             != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1948 ) @ SY1949 ) )
            | ( SV349 = SY1949 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2214]) ).

thf(2382,plain,
    ! [SV687: $i,SV588: $i] :
      ( ( ~ ( hBOOL @ ( member840932460on_val @ SV588 @ SV687 ) )
        | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV687 @ SV588 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2215]) ).

thf(2383,plain,
    ! [SV589: $i,SV688: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV688 @ SV589 ) )
        | ( hBOOL @ ( member840932460on_val @ SV589 @ SV688 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2216]) ).

thf(2384,plain,
    ! [SV590: $i,SV689: $i] :
      ( ( ~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV689 ) )
                | ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV590 ) ) )
            | ~ ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV689 ) )
                | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV590 ) ) ) )
        | ( SV689 = SV590 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2217]) ).

thf(2385,plain,
    ! [SV591: $i,SV690: $i] :
      ( ( ( SV690 != SV591 )
        | ~ ( ~ ! [SY2608: $i,SY2609: $i] :
                  ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2608 ) @ SY2609 ) @ SV690 ) )
                  | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2608 ) @ SY2609 ) @ SV591 ) ) )
            | ~ ! [SY2610: $i,SY2611: $i] :
                  ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2610 ) @ SY2611 ) @ SV591 ) )
                  | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2610 ) @ SY2611 ) @ SV690 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2218]) ).

thf(2386,plain,
    ! [SV691: $i,SV592: $i] :
      ( ( ( ( val_list_char @ SV592 )
         != ( val_list_char @ SV691 ) )
        | ( SV592 = SV691 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2219]) ).

thf(2387,plain,
    ! [SV692: $i,SV593: $i] :
      ( ( ( SV593 != SV692 )
        | ( ( val_list_char @ SV593 )
          = ( val_list_char @ SV692 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2220]) ).

thf(2388,plain,
    ! [SV350: $i,SV183: $i] :
      ( ( ! [SY1950: $i,SY1951: $i] :
            ( ( SV183 != SY1950 )
            | ( SV350 != SY1951 )
            | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
              = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1950 ) @ SY1951 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2221]) ).

thf(2389,plain,
    ! [SV350: $i,SV183: $i] :
      ( ( ~ ( ~ ! [SY1952: $i] :
                  ( ! [SY1953: $i] :
                      ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
                     != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1952 ) @ SY1953 ) )
                  | ( SV183 = SY1952 ) )
            | ~ ! [SY1954: $i,SY1955: $i] :
                  ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
                   != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1954 ) @ SY1955 ) )
                  | ( SV350 = SY1955 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2222]) ).

thf(2390,plain,
    ! [SV693: $i,SV184: $i] :
      ( ( ! [SY2612: $i] :
            ( ( ( fun_up1149430426on_val @ SV184 @ SV693 @ SY2612 )
             != SV184 )
            | ( ( hAPP_l207779698on_val @ SV184 @ SV693 )
              = SY2612 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2223]) ).

thf(2391,plain,
    ! [SV694: $i,SV184: $i] :
      ( ( ! [SY2613: $i] :
            ( ( ( hAPP_l207779698on_val @ SV184 @ SV694 )
             != SY2613 )
            | ( ( fun_up1149430426on_val @ SV184 @ SV694 @ SY2613 )
              = SV184 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2224]) ).

thf(2392,plain,
    ! [SV351: $i,SV185: $i] :
      ( ( ! [SY1956: $i,SY1957: $i] :
            ( ( SY1957 != SY1956 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV185 @ SY1956 @ SV351 ) @ SY1957 )
              = SV351 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2225]) ).

thf(2393,plain,
    ! [SV351: $i,SV185: $i] :
      ( ( ! [SY1958: $i,SY1959: $i] :
            ( ( SY1959 = SY1958 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV185 @ SY1958 @ SV351 ) @ SY1959 )
              = ( hAPP_P2094403585on_val @ SV185 @ SY1959 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2226]) ).

thf(2394,plain,
    ! [SV352: $i,SV186: $i] :
      ( ( ! [SY1960: $i,SY1961: $i] :
            ( ( SV186 != SY1960 )
            | ( SV352 != SY1961 )
            | ( ( lAss_list_char @ SV186 @ SV352 )
              = ( lAss_list_char @ SY1960 @ SY1961 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2227]) ).

thf(2395,plain,
    ! [SV352: $i,SV186: $i] :
      ( ( ~ ( ~ ! [SY1962: $i] :
                  ( ! [SY1963: $i] :
                      ( ( lAss_list_char @ SV186 @ SV352 )
                     != ( lAss_list_char @ SY1962 @ SY1963 ) )
                  | ( SV186 = SY1962 ) )
            | ~ ! [SY1964: $i,SY1965: $i] :
                  ( ( ( lAss_list_char @ SV186 @ SV352 )
                   != ( lAss_list_char @ SY1964 @ SY1965 ) )
                  | ( SV352 = SY1965 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2228]) ).

thf(2396,plain,
    ! [SV695: $i,SV594: $i] :
      ( ( ~ ( hBOOL @ ( member1417904245al_val @ SV594 @ SV695 ) )
        | ( hBOOL @ ( hAPP_P943837928l_bool @ SV695 @ SV594 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2229]) ).

thf(2397,plain,
    ! [SV595: $i,SV696: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P943837928l_bool @ SV696 @ SV595 ) )
        | ( hBOOL @ ( member1417904245al_val @ SV595 @ SV696 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2230]) ).

thf(2398,plain,
    ! [SV464: $i,SV353: $i,SV187: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ! [SY2250: $i] :
                          ( ! [SY2251: $i] :
                              ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2250 )
                             != ( hAPP_val_option_val @ some_val @ SY2251 ) )
                          | ( SY2250 = SV353 )
                          | ( SY2250 != SV353 ) )
                    | ~ ! [SY2252: $i,SY2253: $i] :
                          ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2252 )
                           != ( hAPP_val_option_val @ some_val @ SY2253 ) )
                          | ( SY2252 = SV353 )
                          | ( ( hAPP_l207779698on_val @ SV187 @ SY2252 )
                            = ( hAPP_val_option_val @ some_val @ SY2253 ) ) ) )
              | ~ ~ ( ~ ! [SY2254: $i,SY2255: $i] :
                          ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2254 )
                           != ( hAPP_val_option_val @ some_val @ SY2255 ) )
                          | ( SV464 = SY2255 )
                          | ( SY2254 != SV353 ) )
                    | ~ ! [SY2256: $i,SY2257: $i] :
                          ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2256 )
                           != ( hAPP_val_option_val @ some_val @ SY2257 ) )
                          | ( SV464 = SY2257 )
                          | ( ( hAPP_l207779698on_val @ SV187 @ SY2256 )
                            = ( hAPP_val_option_val @ some_val @ SY2257 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2231]) ).

thf(2399,plain,
    ! [SV187: $i,SV464: $i,SV353: $i] :
      ( ( ~ ~ ( ~ ! [SY2258: $i,SY2259: $i] :
                    ( ( SY2258 != SV353 )
                    | ( SV464 != SY2259 )
                    | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2258 )
                      = ( hAPP_val_option_val @ some_val @ SY2259 ) ) )
              | ~ ! [SY2260: $i,SY2261: $i] :
                    ( ( SY2260 = SV353 )
                    | ( ( hAPP_l207779698on_val @ SV187 @ SY2260 )
                     != ( hAPP_val_option_val @ some_val @ SY2261 ) )
                    | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2260 )
                      = ( hAPP_val_option_val @ some_val @ SY2261 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2231]) ).

thf(2400,plain,
    ! [SV596: $i,SV465: $i,SV356: $i,SV192: $i,SV5: $i] :
      ( ( ( ( ( fun_up1149430426on_val @ SV5 @ SV192 @ ( hAPP_val_option_val @ some_val @ SV356 ) )
           != ( fun_up1149430426on_val @ SV465 @ SV192 @ ( hAPP_val_option_val @ some_val @ SV596 ) ) ) )
        = $true )
      | ( ( SV356 = SV596 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2234]) ).

thf(2401,plain,
    ! [SV597: $i,SV466: $i,SV357: $i,SV193: $i,SV6: $i] :
      ( ( ( ( ( fun_up204312361on_val @ SV6 @ SV193 @ ( hAPP_val_option_val @ some_val @ SV357 ) )
           != ( fun_up204312361on_val @ SV466 @ SV193 @ ( hAPP_val_option_val @ some_val @ SV597 ) ) ) )
        = $true )
      | ( ( SV357 = SV597 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2235]) ).

thf(2402,plain,
    ! [SV360: $i,SV197: $i,SV11: $i,SV598: $i,SV468: $i] :
      ( ( ( SV468 = SV598 )
        = $true )
      | ( ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SV468 @ SV197 ) @ SV598 @ SV360 )
          = ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SV598 @ SV360 ) @ SV468 @ SV197 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2238]) ).

thf(2403,plain,
    ! [SV25: $i,SV470: $i,SV363: $i,SV203: $i] :
      ( ( ( hBOOL @ ( widen_2090681816t_char @ SV203 @ SV363 @ SV470 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV203 @ SV470 @ SV25 ) )
          | ( hBOOL @ ( widen_2090681816t_char @ SV203 @ SV363 @ SV25 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2239]) ).

thf(2404,plain,
    ! [SV599: $i,SV471: $i,SV364: $i,SV204: $i,SV26: $i] :
      ( ( ( ! [SY2496: $i,SY2497: $i] :
              ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV26 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV204 ) @ SV364 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV471 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV599 ) @ SY2496 ) ) ) @ ( red @ SY2497 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hext @ SV204 @ SV599 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2240]) ).

thf(2405,plain,
    ! [SV27: $i,SV697: $i,SV600: $i,SV472: $i,SV365: $i,SV205: $i] :
      ( ( ! [SY2614: $i,SY2615: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV205 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV365 ) @ SV472 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV600 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV697 ) @ SY2614 ) ) ) @ ( red @ SY2615 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV205 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV365 ) @ ( map_ad325961431ar_val @ SV27 @ SV472 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV600 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV697 ) @ ( map_ad325961431ar_val @ SV27 @ SY2614 ) ) ) ) @ ( red @ SY2615 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2241]) ).

thf(2406,plain,
    ! [SV366: $i,SV206: $i,SV28: $i,SV601: $i,SV473: $i] :
      ( ( ( ~ ( hBOOL @ ( hext @ SV473 @ SV601 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( conf_P373316194t_char @ SV28 @ SV473 @ SV206 @ SV366 ) )
          | ( hBOOL @ ( conf_P373316194t_char @ SV28 @ SV601 @ SV206 @ SV366 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2242]) ).

thf(2407,plain,
    ! [SV29: $i,SV602: $i,SV474: $i,SV367: $i,SV207: $i] :
      ( ( ( ~ ( hBOOL @ ( conf_P373316194t_char @ SV207 @ SV367 @ SV474 @ SV602 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV207 @ SV602 @ SV29 ) )
          | ( hBOOL @ ( conf_P373316194t_char @ SV207 @ SV367 @ SV474 @ SV29 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2243]) ).

thf(2408,plain,
    ! [SV32: $i,SV477: $i,SV370: $i,SV210: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ SV210 @ SV370 )
          = ( hAPP_val_option_val @ some_val @ SV477 ) )
        = $false )
      | ( ( ( hAPP_P2094403585on_val @ ( map_ad1185064968ar_val @ SV32 @ SV210 ) @ SV370 )
          = ( hAPP_val_option_val @ some_val @ SV477 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2245]) ).

thf(2409,plain,
    ! [SV33: $i,SV478: $i,SV371: $i,SV211: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV211 @ SV371 )
          = ( hAPP_val_option_val @ some_val @ SV478 ) )
        = $false )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV33 @ SV211 ) @ SV371 )
          = ( hAPP_val_option_val @ some_val @ SV478 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2246]) ).

thf(2410,plain,
    ! [SV34: $i,SV698: $i,SV604: $i,SV479: $i,SV372: $i,SV212: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV212 ) @ SV372 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV479 ) @ SV604 ) ) @ ( red @ SV698 ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV34 @ SV212 ) ) @ SV372 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV34 @ SV479 ) ) @ SV604 ) ) @ ( red @ SV698 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2247]) ).

thf(2411,plain,
    ! [SV35: $i,SV699: $i,SV605: $i,SV480: $i,SV373: $i,SV213: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV213 ) @ SV373 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV480 ) @ SV605 ) ) @ ( red @ SV699 ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV213 @ SV35 ) ) @ SV373 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV480 @ SV35 ) ) @ SV605 ) ) @ ( red @ SV699 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2248]) ).

thf(2412,plain,
    ! [SV216: $i,SV38: $i,SV700: $i,SV606: $i,SV483: $i,SV376: $i] :
      ( ( ! [SY2616: $i] :
            ~ ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SV606 @ SV700 @ SY2616 ) )
        | ~ ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SV606 @ SV38 @ SV216 ) )
        | ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SV606 @ ( seq_list_char @ SV700 @ SV38 ) @ SV216 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2249]) ).

thf(2413,plain,
    ! [SV217: $i,SV40: $i,SV377: $i] :
      ( ( ( ~ ( hBOOL @ ( hext @ SV377 @ SV40 ) ) )
        = $true )
      | ( ( hBOOL @ ( hext @ SV217 @ SV40 ) )
        = $true )
      | ( ( hBOOL @ ( hext @ SV217 @ SV377 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2250]) ).

thf(2414,plain,
    ! [SV41: $i,SV701: $i,SV607: $i,SV484: $i,SV378: $i,SV218: $i] :
      ( ( ~ ( hBOOL @ ( wTrt @ SV218 @ SV378 @ SV484 @ SV607 @ SV701 ) )
        | ~ ( hBOOL @ ( hext @ SV378 @ SV41 ) )
        | ( hBOOL @ ( wTrt @ SV218 @ SV41 @ SV484 @ SV607 @ SV701 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2251]) ).

thf(2415,plain,
    ! [SV43: $i,SV702: $i,SV608: $i,SV485: $i,SV379: $i,SV220: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV220 ) @ SV379 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV485 ) @ SV608 ) ) @ ( transi2024712006on_val @ ( red @ SV702 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV220 @ SV43 ) ) @ SV379 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV485 @ SV43 ) ) @ SV608 ) ) @ ( transi2024712006on_val @ ( red @ SV702 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2252]) ).

thf(2416,plain,
    ! [SV44: $i,SV703: $i,SV609: $i,SV486: $i,SV380: $i,SV221: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV221 ) @ SV380 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV486 ) @ SV609 ) ) @ ( transi2024712006on_val @ ( red @ SV703 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV44 @ SV221 ) ) @ SV380 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV44 @ SV486 ) ) @ SV609 ) ) @ ( transi2024712006on_val @ ( red @ SV703 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2253]) ).

thf(2417,plain,
    ! [SV45: $i,SV704: $i,SV610: $i,SV487: $i,SV381: $i,SV222: $i] :
      ( ( ! [SY2617: $i,SY2618: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV222 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV381 ) @ SV487 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV610 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV704 ) @ SY2617 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2618 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV222 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV381 ) @ ( map_ad325961431ar_val @ SV45 @ SV487 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV610 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV704 ) @ ( map_ad325961431ar_val @ SV45 @ SY2617 ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2618 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2254]) ).

thf(2418,plain,
    ! [SV382: $i,SV223: $i,SV46: $i,SV705: $i,SV611: $i,SV488: $i] :
      ( ( ! [SY2619: $i,SY2620: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV488 ) @ SV611 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV705 ) @ SY2619 ) ) @ ( red @ SY2620 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV488 @ SV46 @ SV223 @ SV382 ) ) @ SV611 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV705 @ SV46 @ SV223 @ SV382 ) ) @ SY2619 ) ) @ ( red @ SY2620 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2255]) ).

thf(2419,plain,
    ! [SV383: $i,SV224: $i,SV47: $i,SV706: $i,SV612: $i,SV489: $i] :
      ( ( ! [SY2621: $i,SY2622: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV489 ) @ SV612 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV706 ) @ SY2621 ) ) @ ( red @ SY2622 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV47 ) @ SV224 @ SV383 @ SV489 ) ) @ SV612 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV47 ) @ SV224 @ SV383 @ SV706 ) ) @ SY2621 ) ) @ ( red @ SY2622 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2256]) ).

thf(2420,plain,
    ! [SV384: $i,SV225: $i,SV48: $i,SV707: $i,SV613: $i,SV490: $i] :
      ( ( ! [SY2623: $i,SY2624: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV490 ) @ SV613 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV707 ) @ SY2623 ) ) @ ( transi2024712006on_val @ ( red @ SY2624 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV490 @ SV48 @ SV225 @ SV384 ) ) @ SV613 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV707 @ SV48 @ SV225 @ SV384 ) ) @ SY2623 ) ) @ ( transi2024712006on_val @ ( red @ SY2624 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2257]) ).

thf(2421,plain,
    ! [SV226: $i,SV49: $i,SV708: $i,SV614: $i,SV491: $i,SV385: $i] :
      ( ( ! [SY2625: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV385 ) @ SV491 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV614 ) @ SV708 ) ) @ ( red @ SY2625 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV385 @ SV49 @ SV226 ) ) @ SV491 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV614 @ SV49 @ SV226 ) ) @ SV708 ) ) @ ( red @ SY2625 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2258]) ).

thf(2422,plain,
    ! [SV227: $i,SV50: $i,SV709: $i,SV615: $i,SV492: $i,SV386: $i] :
      ( ( ! [SY2626: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV386 ) @ SV492 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV615 ) @ SV709 ) ) @ ( transi2024712006on_val @ ( red @ SY2626 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV386 @ SV50 @ SV227 ) ) @ SV492 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV615 @ SV50 @ SV227 ) ) @ SV709 ) ) @ ( transi2024712006on_val @ ( red @ SY2626 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2259]) ).

thf(2423,plain,
    ! [SV616: $i,SV493: $i,SV388: $i,SV229: $i,SV52: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV52 ) @ SV229 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV388 ) @ SV493 ) ) @ ( red @ SV616 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV52 ) ) @ SV229 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV388 ) ) @ SV493 ) ) @ ( red @ SV616 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2260]) ).

thf(2424,plain,
    ! [SV617: $i,SV494: $i,SV389: $i,SV230: $i,SV53: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV53 ) @ SV230 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV389 ) @ SV494 ) ) @ ( transi2024712006on_val @ ( red @ SV617 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV53 ) ) @ SV230 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV389 ) ) @ SV494 ) ) @ ( transi2024712006on_val @ ( red @ SV617 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2261]) ).

thf(2425,plain,
    ! [SV618: $i,SV495: $i,SV390: $i,SV231: $i,SV54: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV54 ) @ SV231 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV390 ) ) @ SV495 ) ) @ ( transi2024712006on_val @ ( red @ SV618 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV54 ) ) @ SV231 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV390 ) ) @ SV495 ) ) @ ( transi2024712006on_val @ ( red @ SV618 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2262]) ).

thf(2426,plain,
    ! [SV710: $i,SV619: $i,SV498: $i,SV393: $i,SV234: $i,SV57: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( throw_list_char @ SV57 ) @ SV234 @ SV393 @ SV498 ) ) @ SV619 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV57 ) ) @ SV619 ) ) @ ( red @ SV710 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2263]) ).

thf(2427,plain,
    ! [SV395: $i,SV236: $i,SV59: $i,SV711: $i,SV621: $i,SV500: $i] :
      ( ( ! [SY2627: $i,SY2628: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV500 ) @ SV621 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV711 ) @ SY2627 ) ) @ ( red @ SY2628 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV500 @ SV59 @ SV236 @ SV395 ) ) @ SV621 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV711 @ SV59 @ SV236 @ SV395 ) ) @ SY2627 ) ) @ ( red @ SY2628 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2265]) ).

thf(2428,plain,
    ! [SV712: $i,SV622: $i,SV501: $i,SV396: $i,SV237: $i,SV60: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ ( val_list_char @ SV60 ) @ SV237 @ SV396 @ SV501 ) ) @ SV622 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV60 ) ) @ SV622 ) ) @ ( red @ SV712 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2266]) ).

thf(2429,plain,
    ! [SV397: $i,SV238: $i,SV61: $i,SV713: $i,SV623: $i,SV502: $i] :
      ( ( ! [SY2629: $i,SY2630: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV502 ) @ SV623 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV713 ) @ SY2629 ) ) @ ( transi2024712006on_val @ ( red @ SY2630 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV502 @ SV61 @ SV238 @ SV397 ) ) @ SV623 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV713 @ SV61 @ SV238 @ SV397 ) ) @ SY2629 ) ) @ ( transi2024712006on_val @ ( red @ SY2630 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2267]) ).

thf(2430,plain,
    ! [SV62: $i,SV714: $i,SV624: $i,SV503: $i,SV398: $i,SV239: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV239 ) @ SV398 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV503 ) @ SV624 ) ) @ ( red @ SV714 ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV62 @ SV239 ) ) @ SV398 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV62 @ SV503 ) ) @ SV624 ) ) @ ( red @ SV714 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2268]) ).

thf(2431,plain,
    ! [SV64: $i,SV715: $i,SV625: $i,SV505: $i,SV400: $i,SV241: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV241 ) @ SV400 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV505 ) @ SV625 ) ) @ ( transi2024712006on_val @ ( red @ SV715 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV64 @ SV241 ) ) @ SV400 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV64 @ SV505 ) ) @ SV625 ) ) @ ( transi2024712006on_val @ ( red @ SV715 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2269]) ).

thf(2432,plain,
    ! [SV242: $i,SV65: $i,SV716: $i,SV626: $i,SV506: $i,SV401: $i] :
      ( ( ! [SY2631: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV401 ) @ SV506 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV626 ) @ SV716 ) ) @ ( red @ SY2631 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV401 @ SV65 @ SV242 ) ) @ SV506 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV626 @ SV65 @ SV242 ) ) @ SV716 ) ) @ ( red @ SY2631 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2270]) ).

thf(2433,plain,
    ! [SV243: $i,SV66: $i,SV717: $i,SV627: $i,SV507: $i,SV402: $i] :
      ( ( ! [SY2632: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV402 ) @ SV507 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV627 ) @ SV717 ) ) @ ( red @ SY2632 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV66 ) @ SV243 @ SV402 ) ) @ SV507 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV66 ) @ SV243 @ SV627 ) ) @ SV717 ) ) @ ( red @ SY2632 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2271]) ).

thf(2434,plain,
    ! [SV245: $i,SV68: $i,SV718: $i,SV629: $i,SV509: $i,SV404: $i] :
      ( ( ! [SY2633: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV404 ) @ SV509 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV629 ) @ SV718 ) ) @ ( transi2024712006on_val @ ( red @ SY2633 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV404 @ SV68 @ SV245 ) ) @ SV509 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV629 @ SV68 @ SV245 ) ) @ SV718 ) ) @ ( transi2024712006on_val @ ( red @ SY2633 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2273]) ).

thf(2435,plain,
    ! [SV410: $i,SV280: $i,SV105: $i,SV631: $i,SV513: $i] :
      ( ( ( SV513 = SV631 )
        = $true )
      | ( ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV105 @ SV513 @ SV280 ) @ SV631 @ SV410 )
          = ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV105 @ SV631 @ SV410 ) @ SV513 @ SV280 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2277]) ).

thf(2436,plain,
    ! [SV719: $i,SV632: $i,SV515: $i,SV421: $i,SV291: $i,SV116: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV116 @ SV291 @ ( seq_list_char @ ( lAss_list_char @ SV116 @ ( val_list_char @ SV421 ) ) @ ( val_list_char @ SV515 ) ) ) ) @ SV632 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV515 ) ) @ SV632 ) ) @ ( red @ SV719 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2280]) ).

thf(2437,plain,
    ! [SV121: $i,SV296: $i,SV720: $i,SV633: $i,SV520: $i,SV424: $i] :
      ( ( ! [SY2634: $i,SY2635: $i,SY2636: $i,SY2637: $i,SY2638: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV424 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ ( fun_up1149430426on_val @ SV633 @ SV720 @ ( hAPP_val_option_val @ some_val @ SY2634 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2635 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2636 ) @ SY2637 ) ) ) @ ( red @ SY2638 ) ) )
            | ( ( hAPP_l207779698on_val @ SY2637 @ SV720 )
             != ( hAPP_val_option_val @ some_val @ SV296 ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV720 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SV720 @ ( val_list_char @ SY2634 ) ) @ SV424 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ SV633 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV720 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SV720 @ ( val_list_char @ SV296 ) ) @ SY2635 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2636 ) @ ( fun_up1149430426on_val @ SY2637 @ SV720 @ ( hAPP_l207779698on_val @ SV633 @ SV720 ) ) ) ) ) @ ( red @ SY2638 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2285]) ).

thf(2438,plain,
    ! [SV635: $i,SV522: $i,SV426: $i,SV300: $i,SV125: $i] :
      ( ( ( block_list_char @ SV125 @ SV300 @ SV426 )
        = ( lAss_list_char @ SV522 @ SV635 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2287]) ).

thf(2439,plain,
    ! [SV636: $i,SV527: $i,SV435: $i,SV309: $i,SV134: $i] :
      ( ( ( seq_list_char @ SV134 @ SV309 )
        = ( block_list_char @ SV435 @ SV527 @ SV636 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2292]) ).

thf(2440,plain,
    ! [SV637: $i,SV528: $i,SV436: $i,SV310: $i,SV135: $i] :
      ( ( ( lAss_list_char @ SV135 @ SV310 )
        = ( block_list_char @ SV436 @ SV528 @ SV637 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2293]) ).

thf(2441,plain,
    ! [SV638: $i,SV529: $i,SV437: $i,SV311: $i,SV136: $i] :
      ( ( ( block_list_char @ SV136 @ SV311 @ SV437 )
        = ( seq_list_char @ SV529 @ SV638 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2294]) ).

thf(2442,plain,
    ! [SV137: $i,SV721: $i,SV639: $i,SV530: $i,SV438: $i,SV312: $i] :
      ( ( ! [SY2639: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV312 ) @ SV438 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV530 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV639 ) @ SV721 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2639 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV137 @ SV312 ) ) @ SV438 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV639 ) @ ( fun_up1149430426on_val @ SV721 @ SV137 @ ( hAPP_val_option_val @ some_val @ SV530 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2639 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2295]) ).

thf(2443,plain,
    ! [SV439: $i,SV313: $i,SV138: $i,SV722: $i,SV640: $i,SV531: $i] :
      ( ( ! [SY2640: $i,SY2641: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV531 ) @ SV640 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV722 ) ) @ SY2640 ) ) @ ( transi2024712006on_val @ ( red @ SY2641 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV138 ) @ SY2640 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV439 ) ) @ ( transi2024712006on_val @ ( red @ SY2641 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV531 @ SV138 ) ) @ SV640 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV439 ) ) @ ( transi2024712006on_val @ ( red @ SY2641 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2296]) ).

thf(2444,plain,
    ! [SV139: $i,SV723: $i,SV641: $i,SV532: $i,SV440: $i,SV314: $i] :
      ( ( ! [SY2642: $i,SY2643: $i,SY2644: $i,SY2645: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV314 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV440 ) @ ( fun_up1149430426on_val @ SV532 @ SV641 @ ( hAPP_val_option_val @ some_val @ SV723 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2642 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2643 ) @ SY2644 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2645 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV641 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SV641 @ ( val_list_char @ SV723 ) ) @ SV314 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV440 ) @ SV532 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV641 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SV641 @ ( val_list_char @ ( the_val @ ( hAPP_l207779698on_val @ SY2644 @ SV641 ) ) ) ) @ SY2642 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2643 ) @ ( fun_up1149430426on_val @ SY2644 @ SV641 @ ( hAPP_l207779698on_val @ SV532 @ SV641 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2645 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2297]) ).

thf(2445,plain,
    ! [SV140: $i,SV724: $i,SV642: $i,SV533: $i,SV441: $i,SV315: $i] :
      ( ( ! [SY2646: $i,SY2647: $i,SY2648: $i,SY2649: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV315 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ ( fun_up1149430426on_val @ SV533 @ SV642 @ ( hAPP_val_option_val @ some_val @ SV724 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2646 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2647 ) @ SY2648 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2649 ) ) ) )
            | ~ ( hBOOL @ ( final_list_char @ SY2646 ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV642 @ SV140 @ ( seq_list_char @ ( lAss_list_char @ SV642 @ ( val_list_char @ SV724 ) ) @ SV315 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ SV533 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2646 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2647 ) @ ( fun_up1149430426on_val @ SY2648 @ SV642 @ ( hAPP_l207779698on_val @ SV533 @ SV642 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2649 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2298]) ).

thf(2446,plain,
    ! [SV442: $i,SV316: $i,SV142: $i,SV725: $i,SV643: $i,SV534: $i] :
      ( ( ! [SY2650: $i,SY2651: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV534 ) @ SV643 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV725 ) @ SY2650 ) ) @ ( transi2024712006on_val @ ( red @ SY2651 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV142 ) @ SV316 @ SV442 @ SV534 ) ) @ SV643 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV142 ) @ SV316 @ SV442 @ SV725 ) ) @ SY2650 ) ) @ ( transi2024712006on_val @ ( red @ SY2651 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2299]) ).

thf(2447,plain,
    ! [SV726: $i,SV644: $i,SV535: $i,SV443: $i,SV317: $i,SV143: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV143 @ SV317 @ ( seq_list_char @ ( lAss_list_char @ SV143 @ ( val_list_char @ SV443 ) ) @ ( throw_list_char @ ( val_list_char @ ( addr @ SV535 ) ) ) ) ) ) @ SV644 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ SV535 ) ) ) ) @ SV644 ) ) @ ( red @ SV726 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2300]) ).

thf(2448,plain,
    ! [SV727: $i,SV645: $i,SV536: $i,SV444: $i,SV318: $i,SV144: $i] :
      ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV144 ) @ SV318 @ SV444 @ ( throw_list_char @ SV536 ) ) ) @ SV645 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV536 ) ) @ SV645 ) ) @ ( red @ SV727 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2301]) ).

thf(2449,plain,
    ! [SV145: $i,SV728: $i,SV646: $i,SV537: $i,SV445: $i,SV319: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV319 ) @ SV445 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV537 ) ) @ SV646 ) ) @ ( transi2024712006on_val @ ( red @ SV728 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV145 @ SV319 ) ) @ SV445 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV537 ) ) @ SV646 ) ) @ ( transi2024712006on_val @ ( red @ SV728 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2302]) ).

thf(2450,plain,
    ! [SV146: $i,SV729: $i,SV647: $i,SV538: $i,SV446: $i,SV320: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV320 ) @ SV446 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV538 ) ) @ SV647 ) ) @ ( transi2024712006on_val @ ( red @ SV729 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV320 @ SV146 ) ) @ SV446 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV538 ) ) @ SV647 ) ) @ ( transi2024712006on_val @ ( red @ SV729 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2303]) ).

thf(2451,plain,
    ! [SV447: $i,SV321: $i,SV147: $i,SV730: $i,SV648: $i,SV539: $i] :
      ( ( ! [SY2652: $i,SY2653: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV539 ) @ SV648 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV730 ) ) @ SY2652 ) ) @ ( transi2024712006on_val @ ( red @ SY2653 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV539 @ SV147 @ SV321 @ SV447 ) ) @ SV648 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV730 ) ) @ SY2652 ) ) @ ( transi2024712006on_val @ ( red @ SY2653 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2304]) ).

thf(2452,plain,
    ! [SV322: $i,SV148: $i,SV731: $i,SV649: $i,SV540: $i,SV448: $i] :
      ( ( ! [SY2654: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV448 ) @ SV540 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV649 ) ) @ SV731 ) ) @ ( transi2024712006on_val @ ( red @ SY2654 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV448 @ SV148 @ SV322 ) ) @ SV540 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV649 ) ) @ SV731 ) ) @ ( transi2024712006on_val @ ( red @ SY2654 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2305]) ).

thf(2453,plain,
    ! [SV323: $i,SV149: $i,SV650: $i,SV541: $i,SV449: $i,SV732: $i] :
      ( ( ! [SY2655: $i,SY2656: $i,SY2657: $i,SY2658: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV732 ) @ SY2655 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY2656 ) ) @ SY2657 ) ) @ ( transi2024712006on_val @ ( red @ SY2658 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV449 ) @ SY2657 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SV650 ) ) @ ( transi2024712006on_val @ ( red @ SY2658 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV732 @ SV149 @ SV323 @ SV449 ) ) @ SY2655 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SV650 ) ) @ ( transi2024712006on_val @ ( red @ SY2658 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2306]) ).

thf(2454,plain,
    ! [SV451: $i,SV325: $i,SV151: $i,SV733: $i,SV652: $i,SV543: $i] :
      ( ( ! [SY2659: $i,SY2660: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV543 ) @ SV652 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV733 ) ) @ SY2659 ) ) @ ( transi2024712006on_val @ ( red @ SY2660 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV543 @ SV151 @ SV325 @ SV451 ) ) @ SV652 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV733 ) ) @ SY2659 ) ) @ ( transi2024712006on_val @ ( red @ SY2660 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2308]) ).

thf(2455,plain,
    ! [SV152: $i,SV734: $i,SV653: $i,SV544: $i,SV452: $i,SV326: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV326 ) @ SV452 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV544 ) ) @ SV653 ) ) @ ( transi2024712006on_val @ ( red @ SV734 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV152 @ SV326 ) ) @ SV452 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV544 ) ) @ SV653 ) ) @ ( transi2024712006on_val @ ( red @ SV734 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2309]) ).

thf(2456,plain,
    ! [SV153: $i,SV654: $i,SV545: $i,SV453: $i,SV327: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV327 ) @ SV453 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ SV545 ) ) @ ( transi2024712006on_val @ ( red @ SV654 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV153 @ SV327 ) ) @ SV453 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ SV545 ) ) @ ( transi2024712006on_val @ ( red @ SV654 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2310]) ).

thf(2457,plain,
    ! [SV454: $i,SV328: $i,SV154: $i,SV735: $i,SV655: $i,SV546: $i] :
      ( ( ! [SY2661: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV546 @ SV655 @ SV735 @ SY2661 @ nt ) )
            | ( hBOOL @ ( wTrt @ SV546 @ SV655 @ SV735 @ ( fAcc_list_char @ SY2661 @ SV154 @ SV328 ) @ SV454 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2311]) ).

thf(2458,plain,
    ! [SV156: $i,SV736: $i,SV656: $i,SV547: $i,SV456: $i,SV330: $i] :
      ( ( ~ ( hBOOL @ ( wTrt @ SV330 @ SV456 @ SV547 @ SV656 @ SV736 ) )
        | ~ ( hBOOL @ ( is_refT @ SV736 ) )
        | ( hBOOL @ ( wTrt @ SV330 @ SV456 @ SV547 @ ( throw_list_char @ SV656 ) @ SV156 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2312]) ).

thf(2459,plain,
    ! [SV157: $i,SV548: $i,SV457: $i,SV331: $i,SV737: $i,SV657: $i] :
      ( ( ! [SY2662: $i,SY2663: $i,SY2664: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV657 ) @ SV737 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY2662 ) ) @ SY2663 ) ) @ ( transi2024712006on_val @ ( red @ SY2664 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV331 ) @ SY2663 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SV548 ) ) @ ( transi2024712006on_val @ ( red @ SY2664 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV657 @ SV157 @ SV331 ) ) @ SV737 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SV548 ) ) @ ( transi2024712006on_val @ ( red @ SY2664 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2313]) ).

thf(2460,plain,
    ! [SV333: $i,SV159: $i,SV738: $i,SV659: $i,SV550: $i,SV459: $i] :
      ( ( ! [SY2665: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV459 ) @ SV550 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV659 ) @ SV738 ) ) @ ( transi2024712006on_val @ ( red @ SY2665 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV159 ) @ SV333 @ SV459 ) ) @ SV550 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV159 ) @ SV333 @ SV659 ) ) @ SV738 ) ) @ ( transi2024712006on_val @ ( red @ SY2665 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2315]) ).

thf(2461,plain,
    ! [SV334: $i,SV160: $i,SV739: $i,SV660: $i,SV551: $i,SV460: $i] :
      ( ( ! [SY2666: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV460 ) @ SV551 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV660 ) ) @ SV739 ) ) @ ( transi2024712006on_val @ ( red @ SY2666 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV460 @ SV160 @ SV334 ) ) @ SV551 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV660 ) ) @ SV739 ) ) @ ( transi2024712006on_val @ ( red @ SY2666 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2316]) ).

thf(2462,plain,
    ! [SV740: $i,SV552: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV552 @ SV740 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV552 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_A @ SV552 ) ) @ ( sK15_SY856 @ SV552 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2317]) ).

thf(2463,plain,
    ! [SV741: $i,SV553: $i] :
      ( ( ( ! [SY2667: $i] :
              ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV553 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV741 ) @ SY2667 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV553 @ ( sK13_X1 @ SV553 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2318]) ).

thf(2464,plain,
    ! [SV661: $i,SV554: $i] :
      ( ( ( ( ( hAPP_val_option_val @ some_val @ SV554 )
           != ( hAPP_val_option_val @ some_val @ SV661 ) ) )
        = $true )
      | ( ( SV554 = SV661 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2319]) ).

thf(2465,plain,
    ! [SV662: $i,SV555: $i] :
      ( ( ( ( SV555 != SV662 ) )
        = $true )
      | ( ( ( hAPP_val_option_val @ some_val @ SV555 )
          = ( hAPP_val_option_val @ some_val @ SV662 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2320]) ).

thf(2466,plain,
    ! [SV663: $i,SV556: $i] :
      ( ( ( ~ ( hBOOL @ ( member_nat @ SV556 @ SV663 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_nat_bool @ SV663 @ SV556 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2321]) ).

thf(2467,plain,
    ! [SV557: $i,SV664: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_nat_bool @ SV664 @ SV557 ) ) )
        = $true )
      | ( ( hBOOL @ ( member_nat @ SV557 @ SV664 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2322]) ).

thf(2468,plain,
    ! [SV742: $i,SV665: $i,SV168: $i] :
      ( ( ( ( fun_up204312361on_val @ SV168 @ SV665 @ SV742 )
         != SV168 )
        | ( ( hAPP_P2094403585on_val @ SV168 @ SV665 )
          = SV742 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2323]) ).

thf(2469,plain,
    ! [SV743: $i,SV666: $i,SV168: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ SV168 @ SV666 )
         != SV743 )
        | ( ( fun_up204312361on_val @ SV168 @ SV666 @ SV743 )
          = SV168 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2324]) ).

thf(2470,plain,
    ! [SV667: $i,SV558: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ SV558 @ SV667 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV667 @ SV558 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2325]) ).

thf(2471,plain,
    ! [SV559: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV668 @ SV559 ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ SV559 @ SV668 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2326]) ).

thf(2472,plain,
    ! [SV560: $i,SV669: $i] :
      ( ( ( ~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV669 ) )
                  | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV560 ) ) )
              | ~ ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV669 ) )
                  | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV560 ) ) ) ) )
        = $true )
      | ( ( SV669 = SV560 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2327]) ).

thf(2473,plain,
    ! [SV561: $i,SV670: $i] :
      ( ( ( ( SV670 != SV561 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY2596: $i,SY2597: $i] :
                    ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2596 ) @ SY2597 ) @ SV670 ) )
                    | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2596 ) @ SY2597 ) @ SV561 ) ) )
              | ~ ! [SY2598: $i,SY2599: $i] :
                    ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2598 ) @ SY2599 ) @ SV561 ) )
                    | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2598 ) @ SY2599 ) @ SV670 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2328]) ).

thf(2474,plain,
    ! [SV744: $i,SV562: $i,SV461: $i,SV337: $i,SV169: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt @ SV169 @ SV337 @ SV461 @ ( throw_list_char @ SV562 ) @ SV744 ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( wTrt @ SV169 @ SV337 @ SV461 @ SV562 @ ( sK1_T_r @ SV562 @ SV461 @ SV337 @ SV169 ) ) )
              | ~ ( hBOOL @ ( is_refT @ ( sK1_T_r @ SV562 @ SV461 @ SV337 @ SV169 ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2329]) ).

thf(2475,plain,
    ! [SV563: $i,SV671: $i] :
      ( ( ( ! [SY2600: $i,SY2601: $i] :
              ( SV671
             != ( seq_list_char @ ( lAss_list_char @ SV563 @ ( val_list_char @ SY2600 ) ) @ SY2601 ) ) )
        = $true )
      | ( ( hBOOL @ ( assigned @ SV563 @ SV671 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2330]) ).

thf(2476,plain,
    ! [SV672: $i,SV564: $i] :
      ( ( ( ~ ( hBOOL @ ( assigned @ SV564 @ SV672 ) ) )
        = $true )
      | ( ( SV672
          = ( seq_list_char @ ( lAss_list_char @ SV564 @ ( val_list_char @ ( sK2_V_3 @ SV672 @ SV564 ) ) ) @ ( sK3_SY853 @ SV672 @ SV564 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2331]) ).

thf(2477,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ SX0 )
          | ~ ( hBOOL @ SX1 )
          | ( ( bool @ SX0 )
            = ( bool @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2332]) ).

thf(2478,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( hBOOL @ SX0 )
          | ( hBOOL @ SX1 )
          | ( ( bool @ SX0 )
            = ( bool @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2333]) ).

thf(2479,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( ( bool @ SX0 )
           != ( bool @ SX1 ) )
          | ~ ( hBOOL @ SX0 )
          | ( hBOOL @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2334]) ).

thf(2480,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( ( bool @ SX0 )
           != ( bool @ SX1 ) )
          | ~ ( hBOOL @ SX1 )
          | ( hBOOL @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2335]) ).

thf(2481,plain,
    ! [SV338: $i,SV170: $i,SV745: $i] :
      ( ( ! [SY2668: $i] :
            ( ( SV745 != SY2668 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV170 @ SY2668 @ SV338 ) @ SV745 )
              = SV338 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2336]) ).

thf(2482,plain,
    ! [SV338: $i,SV170: $i,SV746: $i] :
      ( ( ! [SY2669: $i] :
            ( ( SV746 = SY2669 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV170 @ SY2669 @ SV338 ) @ SV746 )
              = ( hAPP_l207779698on_val @ SV170 @ SV746 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2337]) ).

thf(2483,plain,
    ! [SV171: $i,SV339: $i] :
      ( ( ( hBOOL @ ( wTrt @ p @ ha @ SV339 @ ea @ SV171 ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( wTrt @ p @ h_a @ SV339 @ e_a @ ( sK6_T_3 @ SV339 @ SV171 ) ) )
              | ~ ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK6_T_3 @ SV339 @ SV171 ) @ SV171 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa807100911_sconf @ p @ SV339 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2338]) ).

thf(2484,plain,
    ! [SV565: $i] :
      ( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV565 @ ( sK54_X1 @ SV565 ) ) )
        = $false )
      | ( ( ! [SY2445: $i,SY2446: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV565 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2445 ) @ SY2446 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2339]) ).

thf(2485,plain,
    ! [SV566: $i] :
      ( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV566 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK52_A @ SV566 ) ) @ ( sK53_SY880 @ SV566 ) ) ) )
        = $false )
      | ( ( ! [SY2447: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV566 @ SY2447 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2340]) ).

thf(2486,plain,
    ! [SV673: $i,SV567: $i] :
      ( ( ( ~ ( hBOOL @ ( member763590124on_val @ SV567 @ SV673 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV673 @ SV567 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2341]) ).

thf(2487,plain,
    ! [SV568: $i,SV674: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV674 @ SV568 ) ) )
        = $true )
      | ( ( hBOOL @ ( member763590124on_val @ SV568 @ SV674 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2342]) ).

thf(2488,plain,
    ! [SV747: $i,SV340: $i,SV172: $i] :
      ( ( ! [SY2670: $i] :
            ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV172 ) @ SV340 )
           != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV747 ) @ SY2670 ) )
        | ( SV172 = SV747 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2343]) ).

thf(2489,plain,
    ! [SV748: $i,SV340: $i,SV172: $i] :
      ( ( ! [SY2671: $i] :
            ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV172 ) @ SV340 )
             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV748 ) @ SY2671 ) )
            | ( SV340 = SY2671 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2344]) ).

thf(2490,plain,
    ! [SV675: $i,SV569: $i] :
      ( ( ( ~ ( hBOOL @ ( member1251428284t_char @ SV569 @ SV675 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P449474095r_bool @ SV675 @ SV569 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2345]) ).

thf(2491,plain,
    ! [SV570: $i,SV676: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P449474095r_bool @ SV676 @ SV570 ) ) )
        = $true )
      | ( ( hBOOL @ ( member1251428284t_char @ SV570 @ SV676 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2346]) ).

thf(2492,plain,
    ! [SV341: $i,SV749: $i,SV173: $i] :
      ( ( ! [SY2672: $i] :
            ( ( SV173 != SV749 )
            | ( SV341 != SY2672 )
            | ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
              = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV749 ) @ SY2672 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2347]) ).

thf(2493,plain,
    ! [SV341: $i,SV173: $i] :
      ( ( ~ ! [SY1895: $i] :
              ( ! [SY1896: $i] :
                  ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
                 != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1895 ) @ SY1896 ) )
              | ( SV173 = SY1895 ) )
        | ~ ! [SY1897: $i,SY1898: $i] :
              ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
               != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1897 ) @ SY1898 ) )
              | ( SV341 = SY1898 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2348]) ).

thf(2494,plain,
    ! [SV342: $i,SV174: $i,SV750: $i] :
      ( ( ! [SY2673: $i] :
            ( ( SY2673 != SV750 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV174 @ SV750 @ SV342 ) @ SY2673 )
              = SV342 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2349]) ).

thf(2495,plain,
    ! [SV342: $i,SV174: $i,SV751: $i] :
      ( ( ! [SY2674: $i] :
            ( ( SY2674 = SV751 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV174 @ SV751 @ SV342 ) @ SY2674 )
              = ( hAPP_l207779698on_val @ SV174 @ SY2674 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2350]) ).

thf(2496,plain,
    ! [SV752: $i,SV343: $i,SV175: $i] :
      ( ( ! [SY2675: $i] :
            ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV175 ) @ SV343 )
           != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV752 ) @ SY2675 ) )
        | ( SV175 = SV752 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2351]) ).

thf(2497,plain,
    ! [SV753: $i,SV343: $i,SV175: $i] :
      ( ( ! [SY2676: $i] :
            ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV175 ) @ SV343 )
             != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV753 ) @ SY2676 ) )
            | ( SV343 = SY2676 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2352]) ).

thf(2498,plain,
    ! [SV677: $i,SV571: $i] :
      ( ( ( ~ ( hBOOL @ ( member649088532al_val @ SV571 @ SV677 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P929938951l_bool @ SV677 @ SV571 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2353]) ).

thf(2499,plain,
    ! [SV572: $i,SV678: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P929938951l_bool @ SV678 @ SV572 ) ) )
        = $true )
      | ( ( hBOOL @ ( member649088532al_val @ SV572 @ SV678 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2354]) ).

thf(2500,plain,
    ! [SV462: $i,SV344: $i,SV573: $i,SV176: $i] :
      ( ( ~ ! [SY2454: $i,SY2455: $i] :
              ( ( SV176 != SV573 )
              | ( SV344 != SY2454 )
              | ( SV462 != SY2455 )
              | ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                = ( block_list_char @ SV573 @ SY2454 @ SY2455 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2355]) ).

thf(2501,plain,
    ! [SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( ! [SY2456: $i,SY2457: $i] :
                            ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                           != ( block_list_char @ SV573 @ SY2456 @ SY2457 ) )
                        | ( SV176 = SV573 ) )
                    | ~ ! [SY2458: $i] :
                          ( ! [SY2459: $i] :
                              ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                             != ( block_list_char @ SV573 @ SY2458 @ SY2459 ) )
                          | ( SV344 = SY2458 ) ) )
              | ~ ! [SY2460: $i,SY2461: $i] :
                    ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                     != ( block_list_char @ SV573 @ SY2460 @ SY2461 ) )
                    | ( SV462 = SY2461 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2355]) ).

thf(2502,plain,
    ! [SV679: $i,SV574: $i] :
      ( ( ( ~ ( hBOOL @ ( member_list_char @ SV574 @ SV679 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_list_char_bool @ SV679 @ SV574 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2356]) ).

thf(2503,plain,
    ! [SV575: $i,SV680: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SV680 @ SV575 ) ) )
        = $true )
      | ( ( hBOOL @ ( member_list_char @ SV575 @ SV680 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2357]) ).

thf(2504,plain,
    ! [SV345: $i,SV754: $i,SV177: $i] :
      ( ( ! [SY2677: $i] :
            ( ( SV177 != SV754 )
            | ( SV345 != SY2677 )
            | ( ( seq_list_char @ SV177 @ SV345 )
              = ( seq_list_char @ SV754 @ SY2677 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2358]) ).

thf(2505,plain,
    ! [SV345: $i,SV177: $i] :
      ( ( ~ ! [SY1919: $i] :
              ( ! [SY1920: $i] :
                  ( ( seq_list_char @ SV177 @ SV345 )
                 != ( seq_list_char @ SY1919 @ SY1920 ) )
              | ( SV177 = SY1919 ) )
        | ~ ! [SY1921: $i,SY1922: $i] :
              ( ( ( seq_list_char @ SV177 @ SV345 )
               != ( seq_list_char @ SY1921 @ SY1922 ) )
              | ( SV345 = SY1922 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2359]) ).

thf(2506,plain,
    ! [SV755: $i,SV576: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV576 @ SV755 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV576 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK11_A @ SV576 ) ) @ ( sK12_SY855 @ SV576 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2360]) ).

thf(2507,plain,
    ! [SV756: $i,SV577: $i] :
      ( ( ( ! [SY2678: $i] :
              ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV577 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV756 ) @ SY2678 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV577 @ ( sK10_X1 @ SV577 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2361]) ).

thf(2508,plain,
    ! [SV578: $i,SV681: $i] :
      ( ( ( ~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV681 ) )
                  | ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV578 ) ) )
              | ~ ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV681 ) )
                  | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV578 ) ) ) ) )
        = $true )
      | ( ( SV681 = SV578 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2362]) ).

thf(2509,plain,
    ! [SV579: $i,SV682: $i] :
      ( ( ( ( SV682 != SV579 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY2602: $i,SY2603: $i] :
                    ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2602 ) @ SY2603 ) @ SV682 ) )
                    | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2602 ) @ SY2603 ) @ SV579 ) ) )
              | ~ ! [SY2604: $i,SY2605: $i] :
                    ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2604 ) @ SY2605 ) @ SV579 ) )
                    | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2604 ) @ SY2605 ) @ SV682 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2363]) ).

thf(2510,plain,
    ! [SV580: $i] :
      ( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV580 @ ( sK51_X1 @ SV580 ) ) )
        = $false )
      | ( ( ! [SY2473: $i,SY2474: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV580 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2473 ) @ SY2474 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2364]) ).

thf(2511,plain,
    ! [SV581: $i] :
      ( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV581 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK49_A @ SV581 ) ) @ ( sK50_SY879 @ SV581 ) ) ) )
        = $false )
      | ( ( ! [SY2475: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV581 @ SY2475 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2365]) ).

thf(2512,plain,
    ! [SV683: $i,SV582: $i] :
      ( ( ( ~ ( hBOOL @ ( member1542417277on_val @ SV582 @ SV683 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1235399154l_bool @ SV683 @ SV582 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2366]) ).

thf(2513,plain,
    ! [SV583: $i,SV684: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P1235399154l_bool @ SV684 @ SV583 ) ) )
        = $true )
      | ( ( hBOOL @ ( member1542417277on_val @ SV583 @ SV684 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2367]) ).

thf(2514,plain,
    ! [SV463: $i,SV346: $i,SV178: $i] :
      ( ( ~ ( ~ ~ ( ~ ! [SY2238: $i] :
                        ( ! [SY2239: $i] :
                            ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2238 )
                           != ( hAPP_val_option_val @ some_val @ SY2239 ) )
                        | ( SY2238 = SV346 )
                        | ( SY2238 != SV346 ) )
                  | ~ ! [SY2240: $i,SY2241: $i] :
                        ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2240 )
                         != ( hAPP_val_option_val @ some_val @ SY2241 ) )
                        | ( SY2240 = SV346 )
                        | ( ( hAPP_P2094403585on_val @ SV178 @ SY2240 )
                          = ( hAPP_val_option_val @ some_val @ SY2241 ) ) ) )
            | ~ ~ ( ~ ! [SY2242: $i,SY2243: $i] :
                        ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2242 )
                         != ( hAPP_val_option_val @ some_val @ SY2243 ) )
                        | ( SV463 = SY2243 )
                        | ( SY2242 != SV346 ) )
                  | ~ ! [SY2244: $i,SY2245: $i] :
                        ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2244 )
                         != ( hAPP_val_option_val @ some_val @ SY2245 ) )
                        | ( SV463 = SY2245 )
                        | ( ( hAPP_P2094403585on_val @ SV178 @ SY2244 )
                          = ( hAPP_val_option_val @ some_val @ SY2245 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2368]) ).

thf(2515,plain,
    ! [SV178: $i,SV463: $i,SV346: $i] :
      ( ( ~ ( ~ ! [SY2246: $i,SY2247: $i] :
                  ( ( SY2246 != SV346 )
                  | ( SV463 != SY2247 )
                  | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2246 )
                    = ( hAPP_val_option_val @ some_val @ SY2247 ) ) )
            | ~ ! [SY2248: $i,SY2249: $i] :
                  ( ( SY2248 = SV346 )
                  | ( ( hAPP_P2094403585on_val @ SV178 @ SY2248 )
                   != ( hAPP_val_option_val @ some_val @ SY2249 ) )
                  | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2248 )
                    = ( hAPP_val_option_val @ some_val @ SY2249 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2369]) ).

thf(2516,plain,
    ! [SV347: $i,SV757: $i,SV179: $i] :
      ( ( ! [SY2679: $i] :
            ( ( SV179 != SV757 )
            | ( SV347 != SY2679 )
            | ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
              = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV757 ) @ SY2679 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2370]) ).

thf(2517,plain,
    ! [SV347: $i,SV179: $i] :
      ( ( ~ ! [SY1938: $i] :
              ( ! [SY1939: $i] :
                  ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
                 != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1938 ) @ SY1939 ) )
              | ( SV179 = SY1938 ) )
        | ~ ! [SY1940: $i,SY1941: $i] :
              ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
               != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1940 ) @ SY1941 ) )
              | ( SV347 = SY1941 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2371]) ).

thf(2518,plain,
    ! [SV758: $i,SV584: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV584 @ SV758 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV584 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK8_A @ SV584 ) ) @ ( sK9_SY854 @ SV584 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2372]) ).

thf(2519,plain,
    ! [SV759: $i,SV585: $i] :
      ( ( ( ! [SY2680: $i] :
              ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV585 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV759 ) @ SY2680 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV585 @ ( sK7_X1 @ SV585 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2373]) ).

thf(2520,plain,
    ! [SV586: $i] :
      ( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV586 @ ( sK48_X1 @ SV586 ) ) )
        = $false )
      | ( ( ! [SY2481: $i,SY2482: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV586 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2481 ) @ SY2482 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2374]) ).

thf(2521,plain,
    ! [SV587: $i] :
      ( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV587 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK46_A @ SV587 ) ) @ ( sK47_SY878 @ SV587 ) ) ) )
        = $false )
      | ( ( ! [SY2483: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV587 @ SY2483 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2375]) ).

thf(2522,plain,
    ! [SV348: $i,SV180: $i,SV760: $i] :
      ( ( ! [SY2681: $i] :
            ( ( SV760 != SY2681 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV180 @ SY2681 @ SV348 ) @ SV760 )
              = SV348 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2376]) ).

thf(2523,plain,
    ! [SV348: $i,SV180: $i,SV761: $i] :
      ( ( ! [SY2682: $i] :
            ( ( SV761 = SY2682 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV180 @ SY2682 @ SV348 ) @ SV761 )
              = ( hAPP_P2094403585on_val @ SV180 @ SV761 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2377]) ).

thf(2524,plain,
    ! [SV762: $i,SV685: $i,SV181: $i] :
      ( ( ~ ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV181 @ SV685 ) @ SV762 ) )
        | ( hBOOL @ ( d_list_char @ SV685 @ SV762 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2378]) ).

thf(2525,plain,
    ! [SV181: $i,SV763: $i,SV686: $i] :
      ( ( ~ ( hBOOL @ ( d_list_char @ SV686 @ SV763 ) )
        | ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV181 @ SV686 ) @ SV763 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2379]) ).

thf(2526,plain,
    ! [SV764: $i,SV349: $i,SV182: $i] :
      ( ( ! [SY2683: $i] :
            ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV182 ) @ SV349 )
           != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV764 ) @ SY2683 ) )
        | ( SV182 = SV764 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2380]) ).

thf(2527,plain,
    ! [SV765: $i,SV349: $i,SV182: $i] :
      ( ( ! [SY2684: $i] :
            ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV182 ) @ SV349 )
             != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV765 ) @ SY2684 ) )
            | ( SV349 = SY2684 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2381]) ).

thf(2528,plain,
    ! [SV687: $i,SV588: $i] :
      ( ( ( ~ ( hBOOL @ ( member840932460on_val @ SV588 @ SV687 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV687 @ SV588 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2382]) ).

thf(2529,plain,
    ! [SV589: $i,SV688: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV688 @ SV589 ) ) )
        = $true )
      | ( ( hBOOL @ ( member840932460on_val @ SV589 @ SV688 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2383]) ).

thf(2530,plain,
    ! [SV590: $i,SV689: $i] :
      ( ( ( ~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV689 ) )
                  | ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV590 ) ) )
              | ~ ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV689 ) )
                  | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV590 ) ) ) ) )
        = $true )
      | ( ( SV689 = SV590 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2384]) ).

thf(2531,plain,
    ! [SV591: $i,SV690: $i] :
      ( ( ( ( SV690 != SV591 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY2608: $i,SY2609: $i] :
                    ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2608 ) @ SY2609 ) @ SV690 ) )
                    | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2608 ) @ SY2609 ) @ SV591 ) ) )
              | ~ ! [SY2610: $i,SY2611: $i] :
                    ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2610 ) @ SY2611 ) @ SV591 ) )
                    | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2610 ) @ SY2611 ) @ SV690 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2385]) ).

thf(2532,plain,
    ! [SV691: $i,SV592: $i] :
      ( ( ( ( ( val_list_char @ SV592 )
           != ( val_list_char @ SV691 ) ) )
        = $true )
      | ( ( SV592 = SV691 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2386]) ).

thf(2533,plain,
    ! [SV692: $i,SV593: $i] :
      ( ( ( ( SV593 != SV692 ) )
        = $true )
      | ( ( ( val_list_char @ SV593 )
          = ( val_list_char @ SV692 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2387]) ).

thf(2534,plain,
    ! [SV350: $i,SV766: $i,SV183: $i] :
      ( ( ! [SY2685: $i] :
            ( ( SV183 != SV766 )
            | ( SV350 != SY2685 )
            | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
              = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV766 ) @ SY2685 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2388]) ).

thf(2535,plain,
    ! [SV350: $i,SV183: $i] :
      ( ( ~ ! [SY1952: $i] :
              ( ! [SY1953: $i] :
                  ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
                 != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1952 ) @ SY1953 ) )
              | ( SV183 = SY1952 ) )
        | ~ ! [SY1954: $i,SY1955: $i] :
              ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
               != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1954 ) @ SY1955 ) )
              | ( SV350 = SY1955 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2389]) ).

thf(2536,plain,
    ! [SV767: $i,SV693: $i,SV184: $i] :
      ( ( ( ( fun_up1149430426on_val @ SV184 @ SV693 @ SV767 )
         != SV184 )
        | ( ( hAPP_l207779698on_val @ SV184 @ SV693 )
          = SV767 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2390]) ).

thf(2537,plain,
    ! [SV768: $i,SV694: $i,SV184: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV184 @ SV694 )
         != SV768 )
        | ( ( fun_up1149430426on_val @ SV184 @ SV694 @ SV768 )
          = SV184 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2391]) ).

thf(2538,plain,
    ! [SV351: $i,SV185: $i,SV769: $i] :
      ( ( ! [SY2686: $i] :
            ( ( SY2686 != SV769 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV185 @ SV769 @ SV351 ) @ SY2686 )
              = SV351 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2392]) ).

thf(2539,plain,
    ! [SV351: $i,SV185: $i,SV770: $i] :
      ( ( ! [SY2687: $i] :
            ( ( SY2687 = SV770 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV185 @ SV770 @ SV351 ) @ SY2687 )
              = ( hAPP_P2094403585on_val @ SV185 @ SY2687 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2393]) ).

thf(2540,plain,
    ! [SV352: $i,SV771: $i,SV186: $i] :
      ( ( ! [SY2688: $i] :
            ( ( SV186 != SV771 )
            | ( SV352 != SY2688 )
            | ( ( lAss_list_char @ SV186 @ SV352 )
              = ( lAss_list_char @ SV771 @ SY2688 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2394]) ).

thf(2541,plain,
    ! [SV352: $i,SV186: $i] :
      ( ( ~ ! [SY1962: $i] :
              ( ! [SY1963: $i] :
                  ( ( lAss_list_char @ SV186 @ SV352 )
                 != ( lAss_list_char @ SY1962 @ SY1963 ) )
              | ( SV186 = SY1962 ) )
        | ~ ! [SY1964: $i,SY1965: $i] :
              ( ( ( lAss_list_char @ SV186 @ SV352 )
               != ( lAss_list_char @ SY1964 @ SY1965 ) )
              | ( SV352 = SY1965 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2395]) ).

thf(2542,plain,
    ! [SV695: $i,SV594: $i] :
      ( ( ( ~ ( hBOOL @ ( member1417904245al_val @ SV594 @ SV695 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P943837928l_bool @ SV695 @ SV594 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2396]) ).

thf(2543,plain,
    ! [SV595: $i,SV696: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P943837928l_bool @ SV696 @ SV595 ) ) )
        = $true )
      | ( ( hBOOL @ ( member1417904245al_val @ SV595 @ SV696 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2397]) ).

thf(2544,plain,
    ! [SV464: $i,SV353: $i,SV187: $i] :
      ( ( ~ ( ~ ~ ( ~ ! [SY2250: $i] :
                        ( ! [SY2251: $i] :
                            ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2250 )
                           != ( hAPP_val_option_val @ some_val @ SY2251 ) )
                        | ( SY2250 = SV353 )
                        | ( SY2250 != SV353 ) )
                  | ~ ! [SY2252: $i,SY2253: $i] :
                        ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2252 )
                         != ( hAPP_val_option_val @ some_val @ SY2253 ) )
                        | ( SY2252 = SV353 )
                        | ( ( hAPP_l207779698on_val @ SV187 @ SY2252 )
                          = ( hAPP_val_option_val @ some_val @ SY2253 ) ) ) )
            | ~ ~ ( ~ ! [SY2254: $i,SY2255: $i] :
                        ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2254 )
                         != ( hAPP_val_option_val @ some_val @ SY2255 ) )
                        | ( SV464 = SY2255 )
                        | ( SY2254 != SV353 ) )
                  | ~ ! [SY2256: $i,SY2257: $i] :
                        ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2256 )
                         != ( hAPP_val_option_val @ some_val @ SY2257 ) )
                        | ( SV464 = SY2257 )
                        | ( ( hAPP_l207779698on_val @ SV187 @ SY2256 )
                          = ( hAPP_val_option_val @ some_val @ SY2257 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2398]) ).

thf(2545,plain,
    ! [SV187: $i,SV464: $i,SV353: $i] :
      ( ( ~ ( ~ ! [SY2258: $i,SY2259: $i] :
                  ( ( SY2258 != SV353 )
                  | ( SV464 != SY2259 )
                  | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2258 )
                    = ( hAPP_val_option_val @ some_val @ SY2259 ) ) )
            | ~ ! [SY2260: $i,SY2261: $i] :
                  ( ( SY2260 = SV353 )
                  | ( ( hAPP_l207779698on_val @ SV187 @ SY2260 )
                   != ( hAPP_val_option_val @ some_val @ SY2261 ) )
                  | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2260 )
                    = ( hAPP_val_option_val @ some_val @ SY2261 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2399]) ).

thf(2546,plain,
    ! [SV596: $i,SV465: $i,SV356: $i,SV192: $i,SV5: $i] :
      ( ( ( ( fun_up1149430426on_val @ SV5 @ SV192 @ ( hAPP_val_option_val @ some_val @ SV356 ) )
          = ( fun_up1149430426on_val @ SV465 @ SV192 @ ( hAPP_val_option_val @ some_val @ SV596 ) ) )
        = $false )
      | ( ( SV356 = SV596 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2400]) ).

thf(2547,plain,
    ! [SV597: $i,SV466: $i,SV357: $i,SV193: $i,SV6: $i] :
      ( ( ( ( fun_up204312361on_val @ SV6 @ SV193 @ ( hAPP_val_option_val @ some_val @ SV357 ) )
          = ( fun_up204312361on_val @ SV466 @ SV193 @ ( hAPP_val_option_val @ some_val @ SV597 ) ) )
        = $false )
      | ( ( SV357 = SV597 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2401]) ).

thf(2548,plain,
    ! [SV363: $i,SV25: $i,SV470: $i,SV203: $i] :
      ( ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV203 @ SV470 @ SV25 ) ) )
        = $true )
      | ( ( hBOOL @ ( widen_2090681816t_char @ SV203 @ SV363 @ SV25 ) )
        = $true )
      | ( ( hBOOL @ ( widen_2090681816t_char @ SV203 @ SV363 @ SV470 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2403]) ).

thf(2549,plain,
    ! [SV772: $i,SV599: $i,SV471: $i,SV364: $i,SV204: $i,SV26: $i] :
      ( ( ( ! [SY2689: $i] :
              ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV26 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV204 ) @ SV364 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV471 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV599 ) @ SV772 ) ) ) @ ( red @ SY2689 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hext @ SV204 @ SV599 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2404]) ).

thf(2550,plain,
    ! [SV27: $i,SV773: $i,SV697: $i,SV600: $i,SV472: $i,SV365: $i,SV205: $i] :
      ( ( ! [SY2690: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV205 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV365 ) @ SV472 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV600 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV697 ) @ SV773 ) ) ) @ ( red @ SY2690 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV205 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV365 ) @ ( map_ad325961431ar_val @ SV27 @ SV472 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV600 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV697 ) @ ( map_ad325961431ar_val @ SV27 @ SV773 ) ) ) ) @ ( red @ SY2690 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2405]) ).

thf(2551,plain,
    ! [SV366: $i,SV206: $i,SV28: $i,SV601: $i,SV473: $i] :
      ( ( ( hBOOL @ ( hext @ SV473 @ SV601 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( conf_P373316194t_char @ SV28 @ SV473 @ SV206 @ SV366 ) )
          | ( hBOOL @ ( conf_P373316194t_char @ SV28 @ SV601 @ SV206 @ SV366 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2406]) ).

thf(2552,plain,
    ! [SV29: $i,SV602: $i,SV474: $i,SV367: $i,SV207: $i] :
      ( ( ( hBOOL @ ( conf_P373316194t_char @ SV207 @ SV367 @ SV474 @ SV602 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV207 @ SV602 @ SV29 ) )
          | ( hBOOL @ ( conf_P373316194t_char @ SV207 @ SV367 @ SV474 @ SV29 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2407]) ).

thf(2553,plain,
    ! [SV34: $i,SV698: $i,SV604: $i,SV479: $i,SV372: $i,SV212: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV212 ) @ SV372 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV479 ) @ SV604 ) ) @ ( red @ SV698 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV34 @ SV212 ) ) @ SV372 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV34 @ SV479 ) ) @ SV604 ) ) @ ( red @ SV698 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2410]) ).

thf(2554,plain,
    ! [SV35: $i,SV699: $i,SV605: $i,SV480: $i,SV373: $i,SV213: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV213 ) @ SV373 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV480 ) @ SV605 ) ) @ ( red @ SV699 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV213 @ SV35 ) ) @ SV373 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV480 @ SV35 ) ) @ SV605 ) ) @ ( red @ SV699 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2411]) ).

thf(2555,plain,
    ! [SV216: $i,SV38: $i,SV700: $i,SV606: $i,SV483: $i,SV376: $i] :
      ( ( ( ! [SY2616: $i] :
              ~ ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SV606 @ SV700 @ SY2616 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SV606 @ SV38 @ SV216 ) )
          | ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SV606 @ ( seq_list_char @ SV700 @ SV38 ) @ SV216 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2412]) ).

thf(2556,plain,
    ! [SV217: $i,SV40: $i,SV377: $i] :
      ( ( ( hBOOL @ ( hext @ SV377 @ SV40 ) )
        = $false )
      | ( ( hBOOL @ ( hext @ SV217 @ SV40 ) )
        = $true )
      | ( ( hBOOL @ ( hext @ SV217 @ SV377 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2413]) ).

thf(2557,plain,
    ! [SV41: $i,SV701: $i,SV607: $i,SV484: $i,SV378: $i,SV218: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt @ SV218 @ SV378 @ SV484 @ SV607 @ SV701 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hext @ SV378 @ SV41 ) )
          | ( hBOOL @ ( wTrt @ SV218 @ SV41 @ SV484 @ SV607 @ SV701 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2414]) ).

thf(2558,plain,
    ! [SV43: $i,SV702: $i,SV608: $i,SV485: $i,SV379: $i,SV220: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV220 ) @ SV379 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV485 ) @ SV608 ) ) @ ( transi2024712006on_val @ ( red @ SV702 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV220 @ SV43 ) ) @ SV379 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV485 @ SV43 ) ) @ SV608 ) ) @ ( transi2024712006on_val @ ( red @ SV702 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2415]) ).

thf(2559,plain,
    ! [SV44: $i,SV703: $i,SV609: $i,SV486: $i,SV380: $i,SV221: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV221 ) @ SV380 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV486 ) @ SV609 ) ) @ ( transi2024712006on_val @ ( red @ SV703 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV44 @ SV221 ) ) @ SV380 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV44 @ SV486 ) ) @ SV609 ) ) @ ( transi2024712006on_val @ ( red @ SV703 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2416]) ).

thf(2560,plain,
    ! [SV45: $i,SV774: $i,SV704: $i,SV610: $i,SV487: $i,SV381: $i,SV222: $i] :
      ( ( ! [SY2691: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV222 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV381 ) @ SV487 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV610 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV704 ) @ SV774 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2691 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV222 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV381 ) @ ( map_ad325961431ar_val @ SV45 @ SV487 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV610 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV704 ) @ ( map_ad325961431ar_val @ SV45 @ SV774 ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2691 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2417]) ).

thf(2561,plain,
    ! [SV382: $i,SV223: $i,SV46: $i,SV775: $i,SV705: $i,SV611: $i,SV488: $i] :
      ( ( ! [SY2692: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV488 ) @ SV611 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV705 ) @ SV775 ) ) @ ( red @ SY2692 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV488 @ SV46 @ SV223 @ SV382 ) ) @ SV611 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV705 @ SV46 @ SV223 @ SV382 ) ) @ SV775 ) ) @ ( red @ SY2692 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2418]) ).

thf(2562,plain,
    ! [SV383: $i,SV224: $i,SV47: $i,SV776: $i,SV706: $i,SV612: $i,SV489: $i] :
      ( ( ! [SY2693: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV489 ) @ SV612 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV706 ) @ SV776 ) ) @ ( red @ SY2693 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV47 ) @ SV224 @ SV383 @ SV489 ) ) @ SV612 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV47 ) @ SV224 @ SV383 @ SV706 ) ) @ SV776 ) ) @ ( red @ SY2693 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2419]) ).

thf(2563,plain,
    ! [SV384: $i,SV225: $i,SV48: $i,SV777: $i,SV707: $i,SV613: $i,SV490: $i] :
      ( ( ! [SY2694: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV490 ) @ SV613 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV707 ) @ SV777 ) ) @ ( transi2024712006on_val @ ( red @ SY2694 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV490 @ SV48 @ SV225 @ SV384 ) ) @ SV613 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV707 @ SV48 @ SV225 @ SV384 ) ) @ SV777 ) ) @ ( transi2024712006on_val @ ( red @ SY2694 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2420]) ).

thf(2564,plain,
    ! [SV226: $i,SV49: $i,SV778: $i,SV708: $i,SV614: $i,SV491: $i,SV385: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV385 ) @ SV491 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV614 ) @ SV708 ) ) @ ( red @ SV778 ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV385 @ SV49 @ SV226 ) ) @ SV491 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV614 @ SV49 @ SV226 ) ) @ SV708 ) ) @ ( red @ SV778 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2421]) ).

thf(2565,plain,
    ! [SV227: $i,SV50: $i,SV779: $i,SV709: $i,SV615: $i,SV492: $i,SV386: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV386 ) @ SV492 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV615 ) @ SV709 ) ) @ ( transi2024712006on_val @ ( red @ SV779 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV386 @ SV50 @ SV227 ) ) @ SV492 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV615 @ SV50 @ SV227 ) ) @ SV709 ) ) @ ( transi2024712006on_val @ ( red @ SV779 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2422]) ).

thf(2566,plain,
    ! [SV616: $i,SV493: $i,SV388: $i,SV229: $i,SV52: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV52 ) @ SV229 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV388 ) @ SV493 ) ) @ ( red @ SV616 ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV52 ) ) @ SV229 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV388 ) ) @ SV493 ) ) @ ( red @ SV616 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2423]) ).

thf(2567,plain,
    ! [SV617: $i,SV494: $i,SV389: $i,SV230: $i,SV53: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV53 ) @ SV230 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV389 ) @ SV494 ) ) @ ( transi2024712006on_val @ ( red @ SV617 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV53 ) ) @ SV230 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV389 ) ) @ SV494 ) ) @ ( transi2024712006on_val @ ( red @ SV617 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2424]) ).

thf(2568,plain,
    ! [SV618: $i,SV495: $i,SV390: $i,SV231: $i,SV54: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV54 ) @ SV231 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV390 ) ) @ SV495 ) ) @ ( transi2024712006on_val @ ( red @ SV618 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV54 ) ) @ SV231 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV390 ) ) @ SV495 ) ) @ ( transi2024712006on_val @ ( red @ SV618 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2425]) ).

thf(2569,plain,
    ! [SV395: $i,SV236: $i,SV59: $i,SV780: $i,SV711: $i,SV621: $i,SV500: $i] :
      ( ( ! [SY2695: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV500 ) @ SV621 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV711 ) @ SV780 ) ) @ ( red @ SY2695 ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV500 @ SV59 @ SV236 @ SV395 ) ) @ SV621 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV711 @ SV59 @ SV236 @ SV395 ) ) @ SV780 ) ) @ ( red @ SY2695 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2427]) ).

thf(2570,plain,
    ! [SV397: $i,SV238: $i,SV61: $i,SV781: $i,SV713: $i,SV623: $i,SV502: $i] :
      ( ( ! [SY2696: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV502 ) @ SV623 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV713 ) @ SV781 ) ) @ ( transi2024712006on_val @ ( red @ SY2696 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV502 @ SV61 @ SV238 @ SV397 ) ) @ SV623 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV713 @ SV61 @ SV238 @ SV397 ) ) @ SV781 ) ) @ ( transi2024712006on_val @ ( red @ SY2696 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2429]) ).

thf(2571,plain,
    ! [SV62: $i,SV714: $i,SV624: $i,SV503: $i,SV398: $i,SV239: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV239 ) @ SV398 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV503 ) @ SV624 ) ) @ ( red @ SV714 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV62 @ SV239 ) ) @ SV398 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV62 @ SV503 ) ) @ SV624 ) ) @ ( red @ SV714 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2430]) ).

thf(2572,plain,
    ! [SV64: $i,SV715: $i,SV625: $i,SV505: $i,SV400: $i,SV241: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV241 ) @ SV400 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV505 ) @ SV625 ) ) @ ( transi2024712006on_val @ ( red @ SV715 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV64 @ SV241 ) ) @ SV400 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV64 @ SV505 ) ) @ SV625 ) ) @ ( transi2024712006on_val @ ( red @ SV715 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2431]) ).

thf(2573,plain,
    ! [SV242: $i,SV65: $i,SV782: $i,SV716: $i,SV626: $i,SV506: $i,SV401: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV401 ) @ SV506 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV626 ) @ SV716 ) ) @ ( red @ SV782 ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV401 @ SV65 @ SV242 ) ) @ SV506 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV626 @ SV65 @ SV242 ) ) @ SV716 ) ) @ ( red @ SV782 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2432]) ).

thf(2574,plain,
    ! [SV243: $i,SV66: $i,SV783: $i,SV717: $i,SV627: $i,SV507: $i,SV402: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV402 ) @ SV507 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV627 ) @ SV717 ) ) @ ( red @ SV783 ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV66 ) @ SV243 @ SV402 ) ) @ SV507 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV66 ) @ SV243 @ SV627 ) ) @ SV717 ) ) @ ( red @ SV783 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2433]) ).

thf(2575,plain,
    ! [SV245: $i,SV68: $i,SV784: $i,SV718: $i,SV629: $i,SV509: $i,SV404: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV404 ) @ SV509 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV629 ) @ SV718 ) ) @ ( transi2024712006on_val @ ( red @ SV784 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV404 @ SV68 @ SV245 ) ) @ SV509 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV629 @ SV68 @ SV245 ) ) @ SV718 ) ) @ ( transi2024712006on_val @ ( red @ SV784 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2434]) ).

thf(2576,plain,
    ! [SV121: $i,SV296: $i,SV785: $i,SV720: $i,SV633: $i,SV520: $i,SV424: $i] :
      ( ( ! [SY2697: $i,SY2698: $i,SY2699: $i,SY2700: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV424 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ ( fun_up1149430426on_val @ SV633 @ SV720 @ ( hAPP_val_option_val @ some_val @ SV785 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2697 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2698 ) @ SY2699 ) ) ) @ ( red @ SY2700 ) ) )
            | ( ( hAPP_l207779698on_val @ SY2699 @ SV720 )
             != ( hAPP_val_option_val @ some_val @ SV296 ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV720 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SV720 @ ( val_list_char @ SV785 ) ) @ SV424 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ SV633 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV720 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SV720 @ ( val_list_char @ SV296 ) ) @ SY2697 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2698 ) @ ( fun_up1149430426on_val @ SY2699 @ SV720 @ ( hAPP_l207779698on_val @ SV633 @ SV720 ) ) ) ) ) @ ( red @ SY2700 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2437]) ).

thf(2577,plain,
    ! [SV137: $i,SV786: $i,SV721: $i,SV639: $i,SV530: $i,SV438: $i,SV312: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV312 ) @ SV438 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV530 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV639 ) @ SV721 ) ) ) @ ( transi2024712006on_val @ ( red @ SV786 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV137 @ SV312 ) ) @ SV438 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV639 ) @ ( fun_up1149430426on_val @ SV721 @ SV137 @ ( hAPP_val_option_val @ some_val @ SV530 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SV786 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2442]) ).

thf(2578,plain,
    ! [SV439: $i,SV313: $i,SV138: $i,SV787: $i,SV722: $i,SV640: $i,SV531: $i] :
      ( ( ! [SY2701: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV531 ) @ SV640 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV722 ) ) @ SV787 ) ) @ ( transi2024712006on_val @ ( red @ SY2701 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV138 ) @ SV787 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV439 ) ) @ ( transi2024712006on_val @ ( red @ SY2701 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV531 @ SV138 ) ) @ SV640 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV439 ) ) @ ( transi2024712006on_val @ ( red @ SY2701 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2443]) ).

thf(2579,plain,
    ! [SV139: $i,SV788: $i,SV723: $i,SV641: $i,SV532: $i,SV440: $i,SV314: $i] :
      ( ( ! [SY2702: $i,SY2703: $i,SY2704: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV314 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV440 ) @ ( fun_up1149430426on_val @ SV532 @ SV641 @ ( hAPP_val_option_val @ some_val @ SV723 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV788 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2702 ) @ SY2703 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2704 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV641 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SV641 @ ( val_list_char @ SV723 ) ) @ SV314 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV440 ) @ SV532 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV641 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SV641 @ ( val_list_char @ ( the_val @ ( hAPP_l207779698on_val @ SY2703 @ SV641 ) ) ) ) @ SV788 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2702 ) @ ( fun_up1149430426on_val @ SY2703 @ SV641 @ ( hAPP_l207779698on_val @ SV532 @ SV641 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2704 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2444]) ).

thf(2580,plain,
    ! [SV140: $i,SV789: $i,SV724: $i,SV642: $i,SV533: $i,SV441: $i,SV315: $i] :
      ( ( ! [SY2705: $i,SY2706: $i,SY2707: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV315 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ ( fun_up1149430426on_val @ SV533 @ SV642 @ ( hAPP_val_option_val @ some_val @ SV724 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV789 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2705 ) @ SY2706 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2707 ) ) ) )
            | ~ ( hBOOL @ ( final_list_char @ SV789 ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV642 @ SV140 @ ( seq_list_char @ ( lAss_list_char @ SV642 @ ( val_list_char @ SV724 ) ) @ SV315 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ SV533 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV789 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2705 ) @ ( fun_up1149430426on_val @ SY2706 @ SV642 @ ( hAPP_l207779698on_val @ SV533 @ SV642 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2707 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2445]) ).

thf(2581,plain,
    ! [SV442: $i,SV316: $i,SV142: $i,SV790: $i,SV725: $i,SV643: $i,SV534: $i] :
      ( ( ! [SY2708: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV534 ) @ SV643 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV725 ) @ SV790 ) ) @ ( transi2024712006on_val @ ( red @ SY2708 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV142 ) @ SV316 @ SV442 @ SV534 ) ) @ SV643 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV142 ) @ SV316 @ SV442 @ SV725 ) ) @ SV790 ) ) @ ( transi2024712006on_val @ ( red @ SY2708 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2446]) ).

thf(2582,plain,
    ! [SV145: $i,SV728: $i,SV646: $i,SV537: $i,SV445: $i,SV319: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV319 ) @ SV445 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV537 ) ) @ SV646 ) ) @ ( transi2024712006on_val @ ( red @ SV728 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV145 @ SV319 ) ) @ SV445 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV537 ) ) @ SV646 ) ) @ ( transi2024712006on_val @ ( red @ SV728 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2449]) ).

thf(2583,plain,
    ! [SV146: $i,SV729: $i,SV647: $i,SV538: $i,SV446: $i,SV320: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV320 ) @ SV446 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV538 ) ) @ SV647 ) ) @ ( transi2024712006on_val @ ( red @ SV729 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV320 @ SV146 ) ) @ SV446 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV538 ) ) @ SV647 ) ) @ ( transi2024712006on_val @ ( red @ SV729 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2450]) ).

thf(2584,plain,
    ! [SV447: $i,SV321: $i,SV147: $i,SV791: $i,SV730: $i,SV648: $i,SV539: $i] :
      ( ( ! [SY2709: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV539 ) @ SV648 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV730 ) ) @ SV791 ) ) @ ( transi2024712006on_val @ ( red @ SY2709 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV539 @ SV147 @ SV321 @ SV447 ) ) @ SV648 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV730 ) ) @ SV791 ) ) @ ( transi2024712006on_val @ ( red @ SY2709 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2451]) ).

thf(2585,plain,
    ! [SV322: $i,SV148: $i,SV792: $i,SV731: $i,SV649: $i,SV540: $i,SV448: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV448 ) @ SV540 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV649 ) ) @ SV731 ) ) @ ( transi2024712006on_val @ ( red @ SV792 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV448 @ SV148 @ SV322 ) ) @ SV540 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV649 ) ) @ SV731 ) ) @ ( transi2024712006on_val @ ( red @ SV792 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2452]) ).

thf(2586,plain,
    ! [SV323: $i,SV149: $i,SV650: $i,SV541: $i,SV449: $i,SV793: $i,SV732: $i] :
      ( ( ! [SY2710: $i,SY2711: $i,SY2712: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV732 ) @ SV793 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY2710 ) ) @ SY2711 ) ) @ ( transi2024712006on_val @ ( red @ SY2712 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV449 ) @ SY2711 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SV650 ) ) @ ( transi2024712006on_val @ ( red @ SY2712 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV732 @ SV149 @ SV323 @ SV449 ) ) @ SV793 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SV650 ) ) @ ( transi2024712006on_val @ ( red @ SY2712 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2453]) ).

thf(2587,plain,
    ! [SV451: $i,SV325: $i,SV151: $i,SV794: $i,SV733: $i,SV652: $i,SV543: $i] :
      ( ( ! [SY2713: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV543 ) @ SV652 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV733 ) ) @ SV794 ) ) @ ( transi2024712006on_val @ ( red @ SY2713 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV543 @ SV151 @ SV325 @ SV451 ) ) @ SV652 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV733 ) ) @ SV794 ) ) @ ( transi2024712006on_val @ ( red @ SY2713 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2454]) ).

thf(2588,plain,
    ! [SV152: $i,SV734: $i,SV653: $i,SV544: $i,SV452: $i,SV326: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV326 ) @ SV452 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV544 ) ) @ SV653 ) ) @ ( transi2024712006on_val @ ( red @ SV734 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV152 @ SV326 ) ) @ SV452 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV544 ) ) @ SV653 ) ) @ ( transi2024712006on_val @ ( red @ SV734 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2455]) ).

thf(2589,plain,
    ! [SV153: $i,SV654: $i,SV545: $i,SV453: $i,SV327: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV327 ) @ SV453 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ SV545 ) ) @ ( transi2024712006on_val @ ( red @ SV654 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV153 @ SV327 ) ) @ SV453 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ null ) ) @ SV545 ) ) @ ( transi2024712006on_val @ ( red @ SV654 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2456]) ).

thf(2590,plain,
    ! [SV454: $i,SV328: $i,SV154: $i,SV795: $i,SV735: $i,SV655: $i,SV546: $i] :
      ( ( ~ ( hBOOL @ ( wTrt @ SV546 @ SV655 @ SV735 @ SV795 @ nt ) )
        | ( hBOOL @ ( wTrt @ SV546 @ SV655 @ SV735 @ ( fAcc_list_char @ SV795 @ SV154 @ SV328 ) @ SV454 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2457]) ).

thf(2591,plain,
    ! [SV156: $i,SV736: $i,SV656: $i,SV547: $i,SV456: $i,SV330: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt @ SV330 @ SV456 @ SV547 @ SV656 @ SV736 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( is_refT @ SV736 ) )
          | ( hBOOL @ ( wTrt @ SV330 @ SV456 @ SV547 @ ( throw_list_char @ SV656 ) @ SV156 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2458]) ).

thf(2592,plain,
    ! [SV157: $i,SV548: $i,SV457: $i,SV331: $i,SV796: $i,SV737: $i,SV657: $i] :
      ( ( ! [SY2714: $i,SY2715: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV657 ) @ SV737 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV796 ) ) @ SY2714 ) ) @ ( transi2024712006on_val @ ( red @ SY2715 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV331 ) @ SY2714 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SV548 ) ) @ ( transi2024712006on_val @ ( red @ SY2715 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV657 @ SV157 @ SV331 ) ) @ SV737 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SV548 ) ) @ ( transi2024712006on_val @ ( red @ SY2715 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2459]) ).

thf(2593,plain,
    ! [SV333: $i,SV159: $i,SV797: $i,SV738: $i,SV659: $i,SV550: $i,SV459: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV459 ) @ SV550 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV659 ) @ SV738 ) ) @ ( transi2024712006on_val @ ( red @ SV797 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV159 ) @ SV333 @ SV459 ) ) @ SV550 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV159 ) @ SV333 @ SV659 ) ) @ SV738 ) ) @ ( transi2024712006on_val @ ( red @ SV797 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2460]) ).

thf(2594,plain,
    ! [SV334: $i,SV160: $i,SV798: $i,SV739: $i,SV660: $i,SV551: $i,SV460: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV460 ) @ SV551 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV660 ) ) @ SV739 ) ) @ ( transi2024712006on_val @ ( red @ SV798 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV460 @ SV160 @ SV334 ) ) @ SV551 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV660 ) ) @ SV739 ) ) @ ( transi2024712006on_val @ ( red @ SV798 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2461]) ).

thf(2595,plain,
    ! [SV740: $i,SV552: $i] :
      ( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV552 @ SV740 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV552 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_A @ SV552 ) ) @ ( sK15_SY856 @ SV552 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2462]) ).

thf(2596,plain,
    ! [SV799: $i,SV741: $i,SV553: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV553 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV741 ) @ SV799 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV553 @ ( sK13_X1 @ SV553 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2463]) ).

thf(2597,plain,
    ! [SV661: $i,SV554: $i] :
      ( ( ( ( hAPP_val_option_val @ some_val @ SV554 )
          = ( hAPP_val_option_val @ some_val @ SV661 ) )
        = $false )
      | ( ( SV554 = SV661 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2464]) ).

thf(2598,plain,
    ! [SV662: $i,SV555: $i] :
      ( ( ( SV555 = SV662 )
        = $false )
      | ( ( ( hAPP_val_option_val @ some_val @ SV555 )
          = ( hAPP_val_option_val @ some_val @ SV662 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2465]) ).

thf(2599,plain,
    ! [SV663: $i,SV556: $i] :
      ( ( ( hBOOL @ ( member_nat @ SV556 @ SV663 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_nat_bool @ SV663 @ SV556 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2466]) ).

thf(2600,plain,
    ! [SV557: $i,SV664: $i] :
      ( ( ( hBOOL @ ( hAPP_nat_bool @ SV664 @ SV557 ) )
        = $false )
      | ( ( hBOOL @ ( member_nat @ SV557 @ SV664 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2467]) ).

thf(2601,plain,
    ! [SV742: $i,SV665: $i,SV168: $i] :
      ( ( ( ( ( fun_up204312361on_val @ SV168 @ SV665 @ SV742 )
           != SV168 ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ SV168 @ SV665 )
          = SV742 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2468]) ).

thf(2602,plain,
    ! [SV743: $i,SV666: $i,SV168: $i] :
      ( ( ( ( ( hAPP_P2094403585on_val @ SV168 @ SV666 )
           != SV743 ) )
        = $true )
      | ( ( ( fun_up204312361on_val @ SV168 @ SV666 @ SV743 )
          = SV168 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2469]) ).

thf(2603,plain,
    ! [SV667: $i,SV558: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ SV558 @ SV667 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV667 @ SV558 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2470]) ).

thf(2604,plain,
    ! [SV559: $i,SV668: $i] :
      ( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV668 @ SV559 ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ SV559 @ SV668 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2471]) ).

thf(2605,plain,
    ! [SV560: $i,SV669: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV669 ) )
              | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV560 ) ) )
          | ~ ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV669 ) )
              | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV560 ) ) ) )
        = $false )
      | ( ( SV669 = SV560 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2472]) ).

thf(2606,plain,
    ! [SV561: $i,SV670: $i] :
      ( ( ( SV670 = SV561 )
        = $false )
      | ( ( ~ ( ~ ! [SY2596: $i,SY2597: $i] :
                    ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2596 ) @ SY2597 ) @ SV670 ) )
                    | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2596 ) @ SY2597 ) @ SV561 ) ) )
              | ~ ! [SY2598: $i,SY2599: $i] :
                    ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2598 ) @ SY2599 ) @ SV561 ) )
                    | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2598 ) @ SY2599 ) @ SV670 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2473]) ).

thf(2607,plain,
    ! [SV744: $i,SV562: $i,SV461: $i,SV337: $i,SV169: $i] :
      ( ( ( hBOOL @ ( wTrt @ SV169 @ SV337 @ SV461 @ ( throw_list_char @ SV562 ) @ SV744 ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( wTrt @ SV169 @ SV337 @ SV461 @ SV562 @ ( sK1_T_r @ SV562 @ SV461 @ SV337 @ SV169 ) ) )
              | ~ ( hBOOL @ ( is_refT @ ( sK1_T_r @ SV562 @ SV461 @ SV337 @ SV169 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2474]) ).

thf(2608,plain,
    ! [SV800: $i,SV563: $i,SV671: $i] :
      ( ( ( ! [SY2716: $i] :
              ( SV671
             != ( seq_list_char @ ( lAss_list_char @ SV563 @ ( val_list_char @ SV800 ) ) @ SY2716 ) ) )
        = $true )
      | ( ( hBOOL @ ( assigned @ SV563 @ SV671 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2475]) ).

thf(2609,plain,
    ! [SV672: $i,SV564: $i] :
      ( ( ( hBOOL @ ( assigned @ SV564 @ SV672 ) )
        = $false )
      | ( ( SV672
          = ( seq_list_char @ ( lAss_list_char @ SV564 @ ( val_list_char @ ( sK2_V_3 @ SV672 @ SV564 ) ) ) @ ( sK3_SY853 @ SV672 @ SV564 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2476]) ).

thf(2610,plain,
    ! [SV801: $i] :
      ( ( ! [SY2717: $i] :
            ( ~ ( hBOOL @ SV801 )
            | ~ ( hBOOL @ SY2717 )
            | ( ( bool @ SV801 )
              = ( bool @ SY2717 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2477]) ).

thf(2611,plain,
    ! [SV802: $i] :
      ( ( ! [SY2718: $i] :
            ( ( hBOOL @ SV802 )
            | ( hBOOL @ SY2718 )
            | ( ( bool @ SV802 )
              = ( bool @ SY2718 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2478]) ).

thf(2612,plain,
    ! [SV803: $i] :
      ( ( ! [SY2719: $i] :
            ( ( ( bool @ SV803 )
             != ( bool @ SY2719 ) )
            | ~ ( hBOOL @ SV803 )
            | ( hBOOL @ SY2719 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2479]) ).

thf(2613,plain,
    ! [SV804: $i] :
      ( ( ! [SY2720: $i] :
            ( ( ( bool @ SV804 )
             != ( bool @ SY2720 ) )
            | ~ ( hBOOL @ SY2720 )
            | ( hBOOL @ SV804 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2480]) ).

thf(2614,plain,
    ! [SV338: $i,SV170: $i,SV805: $i,SV745: $i] :
      ( ( ( SV745 != SV805 )
        | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV170 @ SV805 @ SV338 ) @ SV745 )
          = SV338 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2481]) ).

thf(2615,plain,
    ! [SV338: $i,SV170: $i,SV806: $i,SV746: $i] :
      ( ( ( SV746 = SV806 )
        | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV170 @ SV806 @ SV338 ) @ SV746 )
          = ( hAPP_l207779698on_val @ SV170 @ SV746 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2482]) ).

thf(2616,plain,
    ! [SV171: $i,SV339: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt @ p @ h_a @ SV339 @ e_a @ ( sK6_T_3 @ SV339 @ SV171 ) ) )
          | ~ ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK6_T_3 @ SV339 @ SV171 ) @ SV171 ) ) )
        = $false )
      | ( ( hBOOL @ ( wTrt @ p @ ha @ SV339 @ ea @ SV171 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa807100911_sconf @ p @ SV339 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2483]) ).

thf(2617,plain,
    ! [SV807: $i,SV565: $i] :
      ( ( ( ! [SY2721: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV565 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV807 ) @ SY2721 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV565 @ ( sK54_X1 @ SV565 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2484]) ).

thf(2618,plain,
    ! [SV808: $i,SV566: $i] :
      ( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV566 @ SV808 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV566 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK52_A @ SV566 ) ) @ ( sK53_SY880 @ SV566 ) ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2485]) ).

thf(2619,plain,
    ! [SV673: $i,SV567: $i] :
      ( ( ( hBOOL @ ( member763590124on_val @ SV567 @ SV673 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV673 @ SV567 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2486]) ).

thf(2620,plain,
    ! [SV568: $i,SV674: $i] :
      ( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV674 @ SV568 ) )
        = $false )
      | ( ( hBOOL @ ( member763590124on_val @ SV568 @ SV674 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2487]) ).

thf(2621,plain,
    ! [SV747: $i,SV340: $i,SV172: $i] :
      ( ( ( ! [SY2670: $i] :
              ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV172 ) @ SV340 )
             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV747 ) @ SY2670 ) ) )
        = $true )
      | ( ( SV172 = SV747 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2488]) ).

thf(2622,plain,
    ! [SV809: $i,SV748: $i,SV340: $i,SV172: $i] :
      ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV172 ) @ SV340 )
         != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV748 ) @ SV809 ) )
        | ( SV340 = SV809 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2489]) ).

thf(2623,plain,
    ! [SV675: $i,SV569: $i] :
      ( ( ( hBOOL @ ( member1251428284t_char @ SV569 @ SV675 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P449474095r_bool @ SV675 @ SV569 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2490]) ).

thf(2624,plain,
    ! [SV570: $i,SV676: $i] :
      ( ( ( hBOOL @ ( hAPP_P449474095r_bool @ SV676 @ SV570 ) )
        = $false )
      | ( ( hBOOL @ ( member1251428284t_char @ SV570 @ SV676 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2491]) ).

thf(2625,plain,
    ! [SV810: $i,SV341: $i,SV749: $i,SV173: $i] :
      ( ( ( SV173 != SV749 )
        | ( SV341 != SV810 )
        | ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV749 ) @ SV810 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2492]) ).

thf(2626,plain,
    ! [SV341: $i,SV173: $i] :
      ( ( ~ ! [SY1895: $i] :
              ( ! [SY1896: $i] :
                  ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
                 != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1895 ) @ SY1896 ) )
              | ( SV173 = SY1895 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2493]) ).

thf(2627,plain,
    ! [SV341: $i,SV173: $i] :
      ( ( ~ ! [SY1897: $i,SY1898: $i] :
              ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
               != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1897 ) @ SY1898 ) )
              | ( SV341 = SY1898 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2493]) ).

thf(2628,plain,
    ! [SV342: $i,SV174: $i,SV750: $i,SV811: $i] :
      ( ( ( SV811 != SV750 )
        | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV174 @ SV750 @ SV342 ) @ SV811 )
          = SV342 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2494]) ).

thf(2629,plain,
    ! [SV342: $i,SV174: $i,SV751: $i,SV812: $i] :
      ( ( ( SV812 = SV751 )
        | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV174 @ SV751 @ SV342 ) @ SV812 )
          = ( hAPP_l207779698on_val @ SV174 @ SV812 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2495]) ).

thf(2630,plain,
    ! [SV752: $i,SV343: $i,SV175: $i] :
      ( ( ( ! [SY2675: $i] :
              ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV175 ) @ SV343 )
             != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV752 ) @ SY2675 ) ) )
        = $true )
      | ( ( SV175 = SV752 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2496]) ).

thf(2631,plain,
    ! [SV813: $i,SV753: $i,SV343: $i,SV175: $i] :
      ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV175 ) @ SV343 )
         != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV753 ) @ SV813 ) )
        | ( SV343 = SV813 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2497]) ).

thf(2632,plain,
    ! [SV677: $i,SV571: $i] :
      ( ( ( hBOOL @ ( member649088532al_val @ SV571 @ SV677 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P929938951l_bool @ SV677 @ SV571 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2498]) ).

thf(2633,plain,
    ! [SV572: $i,SV678: $i] :
      ( ( ( hBOOL @ ( hAPP_P929938951l_bool @ SV678 @ SV572 ) )
        = $false )
      | ( ( hBOOL @ ( member649088532al_val @ SV572 @ SV678 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2499]) ).

thf(2634,plain,
    ! [SV462: $i,SV344: $i,SV573: $i,SV176: $i] :
      ( ( ! [SY2454: $i,SY2455: $i] :
            ( ( SV176 != SV573 )
            | ( SV344 != SY2454 )
            | ( SV462 != SY2455 )
            | ( ( block_list_char @ SV176 @ SV344 @ SV462 )
              = ( block_list_char @ SV573 @ SY2454 @ SY2455 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2500]) ).

thf(2635,plain,
    ! [SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ! [SY2456: $i,SY2457: $i] :
                          ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                         != ( block_list_char @ SV573 @ SY2456 @ SY2457 ) )
                      | ( SV176 = SV573 ) )
                  | ~ ! [SY2458: $i] :
                        ( ! [SY2459: $i] :
                            ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                           != ( block_list_char @ SV573 @ SY2458 @ SY2459 ) )
                        | ( SV344 = SY2458 ) ) )
            | ~ ! [SY2460: $i,SY2461: $i] :
                  ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                   != ( block_list_char @ SV573 @ SY2460 @ SY2461 ) )
                  | ( SV462 = SY2461 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2501]) ).

thf(2636,plain,
    ! [SV679: $i,SV574: $i] :
      ( ( ( hBOOL @ ( member_list_char @ SV574 @ SV679 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_list_char_bool @ SV679 @ SV574 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2502]) ).

thf(2637,plain,
    ! [SV575: $i,SV680: $i] :
      ( ( ( hBOOL @ ( hAPP_list_char_bool @ SV680 @ SV575 ) )
        = $false )
      | ( ( hBOOL @ ( member_list_char @ SV575 @ SV680 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2503]) ).

thf(2638,plain,
    ! [SV814: $i,SV345: $i,SV754: $i,SV177: $i] :
      ( ( ( SV177 != SV754 )
        | ( SV345 != SV814 )
        | ( ( seq_list_char @ SV177 @ SV345 )
          = ( seq_list_char @ SV754 @ SV814 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2504]) ).

thf(2639,plain,
    ! [SV345: $i,SV177: $i] :
      ( ( ~ ! [SY1919: $i] :
              ( ! [SY1920: $i] :
                  ( ( seq_list_char @ SV177 @ SV345 )
                 != ( seq_list_char @ SY1919 @ SY1920 ) )
              | ( SV177 = SY1919 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2505]) ).

thf(2640,plain,
    ! [SV345: $i,SV177: $i] :
      ( ( ~ ! [SY1921: $i,SY1922: $i] :
              ( ( ( seq_list_char @ SV177 @ SV345 )
               != ( seq_list_char @ SY1921 @ SY1922 ) )
              | ( SV345 = SY1922 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2505]) ).

thf(2641,plain,
    ! [SV755: $i,SV576: $i] :
      ( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV576 @ SV755 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV576 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK11_A @ SV576 ) ) @ ( sK12_SY855 @ SV576 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2506]) ).

thf(2642,plain,
    ! [SV815: $i,SV756: $i,SV577: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV577 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV756 ) @ SV815 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV577 @ ( sK10_X1 @ SV577 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2507]) ).

thf(2643,plain,
    ! [SV578: $i,SV681: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV681 ) )
              | ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV578 ) ) )
          | ~ ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV681 ) )
              | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV578 ) ) ) )
        = $false )
      | ( ( SV681 = SV578 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2508]) ).

thf(2644,plain,
    ! [SV579: $i,SV682: $i] :
      ( ( ( SV682 = SV579 )
        = $false )
      | ( ( ~ ( ~ ! [SY2602: $i,SY2603: $i] :
                    ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2602 ) @ SY2603 ) @ SV682 ) )
                    | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2602 ) @ SY2603 ) @ SV579 ) ) )
              | ~ ! [SY2604: $i,SY2605: $i] :
                    ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2604 ) @ SY2605 ) @ SV579 ) )
                    | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2604 ) @ SY2605 ) @ SV682 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2509]) ).

thf(2645,plain,
    ! [SV816: $i,SV580: $i] :
      ( ( ( ! [SY2722: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV580 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV816 ) @ SY2722 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV580 @ ( sK51_X1 @ SV580 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2510]) ).

thf(2646,plain,
    ! [SV817: $i,SV581: $i] :
      ( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV581 @ SV817 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV581 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK49_A @ SV581 ) ) @ ( sK50_SY879 @ SV581 ) ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2511]) ).

thf(2647,plain,
    ! [SV683: $i,SV582: $i] :
      ( ( ( hBOOL @ ( member1542417277on_val @ SV582 @ SV683 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1235399154l_bool @ SV683 @ SV582 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2512]) ).

thf(2648,plain,
    ! [SV583: $i,SV684: $i] :
      ( ( ( hBOOL @ ( hAPP_P1235399154l_bool @ SV684 @ SV583 ) )
        = $false )
      | ( ( hBOOL @ ( member1542417277on_val @ SV583 @ SV684 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2513]) ).

thf(2649,plain,
    ! [SV463: $i,SV346: $i,SV178: $i] :
      ( ( ~ ~ ( ~ ! [SY2238: $i] :
                    ( ! [SY2239: $i] :
                        ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2238 )
                       != ( hAPP_val_option_val @ some_val @ SY2239 ) )
                    | ( SY2238 = SV346 )
                    | ( SY2238 != SV346 ) )
              | ~ ! [SY2240: $i,SY2241: $i] :
                    ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2240 )
                     != ( hAPP_val_option_val @ some_val @ SY2241 ) )
                    | ( SY2240 = SV346 )
                    | ( ( hAPP_P2094403585on_val @ SV178 @ SY2240 )
                      = ( hAPP_val_option_val @ some_val @ SY2241 ) ) ) )
        | ~ ~ ( ~ ! [SY2242: $i,SY2243: $i] :
                    ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2242 )
                     != ( hAPP_val_option_val @ some_val @ SY2243 ) )
                    | ( SV463 = SY2243 )
                    | ( SY2242 != SV346 ) )
              | ~ ! [SY2244: $i,SY2245: $i] :
                    ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2244 )
                     != ( hAPP_val_option_val @ some_val @ SY2245 ) )
                    | ( SV463 = SY2245 )
                    | ( ( hAPP_P2094403585on_val @ SV178 @ SY2244 )
                      = ( hAPP_val_option_val @ some_val @ SY2245 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2514]) ).

thf(2650,plain,
    ! [SV178: $i,SV463: $i,SV346: $i] :
      ( ( ~ ! [SY2246: $i,SY2247: $i] :
              ( ( SY2246 != SV346 )
              | ( SV463 != SY2247 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2246 )
                = ( hAPP_val_option_val @ some_val @ SY2247 ) ) )
        | ~ ! [SY2248: $i,SY2249: $i] :
              ( ( SY2248 = SV346 )
              | ( ( hAPP_P2094403585on_val @ SV178 @ SY2248 )
               != ( hAPP_val_option_val @ some_val @ SY2249 ) )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2248 )
                = ( hAPP_val_option_val @ some_val @ SY2249 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2515]) ).

thf(2651,plain,
    ! [SV818: $i,SV347: $i,SV757: $i,SV179: $i] :
      ( ( ( SV179 != SV757 )
        | ( SV347 != SV818 )
        | ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV757 ) @ SV818 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2516]) ).

thf(2652,plain,
    ! [SV347: $i,SV179: $i] :
      ( ( ~ ! [SY1938: $i] :
              ( ! [SY1939: $i] :
                  ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
                 != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1938 ) @ SY1939 ) )
              | ( SV179 = SY1938 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2517]) ).

thf(2653,plain,
    ! [SV347: $i,SV179: $i] :
      ( ( ~ ! [SY1940: $i,SY1941: $i] :
              ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
               != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1940 ) @ SY1941 ) )
              | ( SV347 = SY1941 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2517]) ).

thf(2654,plain,
    ! [SV758: $i,SV584: $i] :
      ( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV584 @ SV758 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV584 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK8_A @ SV584 ) ) @ ( sK9_SY854 @ SV584 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2518]) ).

thf(2655,plain,
    ! [SV819: $i,SV759: $i,SV585: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV585 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV759 ) @ SV819 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV585 @ ( sK7_X1 @ SV585 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2519]) ).

thf(2656,plain,
    ! [SV820: $i,SV586: $i] :
      ( ( ( ! [SY2723: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV586 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV820 ) @ SY2723 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV586 @ ( sK48_X1 @ SV586 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2520]) ).

thf(2657,plain,
    ! [SV821: $i,SV587: $i] :
      ( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV587 @ SV821 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV587 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK46_A @ SV587 ) ) @ ( sK47_SY878 @ SV587 ) ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2521]) ).

thf(2658,plain,
    ! [SV348: $i,SV180: $i,SV822: $i,SV760: $i] :
      ( ( ( SV760 != SV822 )
        | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV180 @ SV822 @ SV348 ) @ SV760 )
          = SV348 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2522]) ).

thf(2659,plain,
    ! [SV348: $i,SV180: $i,SV823: $i,SV761: $i] :
      ( ( ( SV761 = SV823 )
        | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV180 @ SV823 @ SV348 ) @ SV761 )
          = ( hAPP_P2094403585on_val @ SV180 @ SV761 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2523]) ).

thf(2660,plain,
    ! [SV762: $i,SV685: $i,SV181: $i] :
      ( ( ( ~ ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV181 @ SV685 ) @ SV762 ) ) )
        = $true )
      | ( ( hBOOL @ ( d_list_char @ SV685 @ SV762 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2524]) ).

thf(2661,plain,
    ! [SV181: $i,SV763: $i,SV686: $i] :
      ( ( ( ~ ( hBOOL @ ( d_list_char @ SV686 @ SV763 ) ) )
        = $true )
      | ( ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV181 @ SV686 ) @ SV763 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2525]) ).

thf(2662,plain,
    ! [SV764: $i,SV349: $i,SV182: $i] :
      ( ( ( ! [SY2683: $i] :
              ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV182 ) @ SV349 )
             != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV764 ) @ SY2683 ) ) )
        = $true )
      | ( ( SV182 = SV764 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2526]) ).

thf(2663,plain,
    ! [SV824: $i,SV765: $i,SV349: $i,SV182: $i] :
      ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV182 ) @ SV349 )
         != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV765 ) @ SV824 ) )
        | ( SV349 = SV824 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2527]) ).

thf(2664,plain,
    ! [SV687: $i,SV588: $i] :
      ( ( ( hBOOL @ ( member840932460on_val @ SV588 @ SV687 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV687 @ SV588 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2528]) ).

thf(2665,plain,
    ! [SV589: $i,SV688: $i] :
      ( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV688 @ SV589 ) )
        = $false )
      | ( ( hBOOL @ ( member840932460on_val @ SV589 @ SV688 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2529]) ).

thf(2666,plain,
    ! [SV590: $i,SV689: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV689 ) )
              | ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV590 ) ) )
          | ~ ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV689 ) )
              | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV590 ) ) ) )
        = $false )
      | ( ( SV689 = SV590 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2530]) ).

thf(2667,plain,
    ! [SV591: $i,SV690: $i] :
      ( ( ( SV690 = SV591 )
        = $false )
      | ( ( ~ ( ~ ! [SY2608: $i,SY2609: $i] :
                    ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2608 ) @ SY2609 ) @ SV690 ) )
                    | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2608 ) @ SY2609 ) @ SV591 ) ) )
              | ~ ! [SY2610: $i,SY2611: $i] :
                    ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2610 ) @ SY2611 ) @ SV591 ) )
                    | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2610 ) @ SY2611 ) @ SV690 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2531]) ).

thf(2668,plain,
    ! [SV691: $i,SV592: $i] :
      ( ( ( ( val_list_char @ SV592 )
          = ( val_list_char @ SV691 ) )
        = $false )
      | ( ( SV592 = SV691 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2532]) ).

thf(2669,plain,
    ! [SV692: $i,SV593: $i] :
      ( ( ( SV593 = SV692 )
        = $false )
      | ( ( ( val_list_char @ SV593 )
          = ( val_list_char @ SV692 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2533]) ).

thf(2670,plain,
    ! [SV825: $i,SV350: $i,SV766: $i,SV183: $i] :
      ( ( ( SV183 != SV766 )
        | ( SV350 != SV825 )
        | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV766 ) @ SV825 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2534]) ).

thf(2671,plain,
    ! [SV350: $i,SV183: $i] :
      ( ( ~ ! [SY1952: $i] :
              ( ! [SY1953: $i] :
                  ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
                 != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1952 ) @ SY1953 ) )
              | ( SV183 = SY1952 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2535]) ).

thf(2672,plain,
    ! [SV350: $i,SV183: $i] :
      ( ( ~ ! [SY1954: $i,SY1955: $i] :
              ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
               != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1954 ) @ SY1955 ) )
              | ( SV350 = SY1955 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2535]) ).

thf(2673,plain,
    ! [SV767: $i,SV693: $i,SV184: $i] :
      ( ( ( ( ( fun_up1149430426on_val @ SV184 @ SV693 @ SV767 )
           != SV184 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ SV184 @ SV693 )
          = SV767 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2536]) ).

thf(2674,plain,
    ! [SV768: $i,SV694: $i,SV184: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ SV184 @ SV694 )
           != SV768 ) )
        = $true )
      | ( ( ( fun_up1149430426on_val @ SV184 @ SV694 @ SV768 )
          = SV184 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2537]) ).

thf(2675,plain,
    ! [SV351: $i,SV185: $i,SV769: $i,SV826: $i] :
      ( ( ( SV826 != SV769 )
        | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV185 @ SV769 @ SV351 ) @ SV826 )
          = SV351 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2538]) ).

thf(2676,plain,
    ! [SV351: $i,SV185: $i,SV770: $i,SV827: $i] :
      ( ( ( SV827 = SV770 )
        | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV185 @ SV770 @ SV351 ) @ SV827 )
          = ( hAPP_P2094403585on_val @ SV185 @ SV827 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2539]) ).

thf(2677,plain,
    ! [SV828: $i,SV352: $i,SV771: $i,SV186: $i] :
      ( ( ( SV186 != SV771 )
        | ( SV352 != SV828 )
        | ( ( lAss_list_char @ SV186 @ SV352 )
          = ( lAss_list_char @ SV771 @ SV828 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2540]) ).

thf(2678,plain,
    ! [SV352: $i,SV186: $i] :
      ( ( ~ ! [SY1962: $i] :
              ( ! [SY1963: $i] :
                  ( ( lAss_list_char @ SV186 @ SV352 )
                 != ( lAss_list_char @ SY1962 @ SY1963 ) )
              | ( SV186 = SY1962 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2541]) ).

thf(2679,plain,
    ! [SV352: $i,SV186: $i] :
      ( ( ~ ! [SY1964: $i,SY1965: $i] :
              ( ( ( lAss_list_char @ SV186 @ SV352 )
               != ( lAss_list_char @ SY1964 @ SY1965 ) )
              | ( SV352 = SY1965 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2541]) ).

thf(2680,plain,
    ! [SV695: $i,SV594: $i] :
      ( ( ( hBOOL @ ( member1417904245al_val @ SV594 @ SV695 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P943837928l_bool @ SV695 @ SV594 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2542]) ).

thf(2681,plain,
    ! [SV595: $i,SV696: $i] :
      ( ( ( hBOOL @ ( hAPP_P943837928l_bool @ SV696 @ SV595 ) )
        = $false )
      | ( ( hBOOL @ ( member1417904245al_val @ SV595 @ SV696 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2543]) ).

thf(2682,plain,
    ! [SV464: $i,SV353: $i,SV187: $i] :
      ( ( ~ ~ ( ~ ! [SY2250: $i] :
                    ( ! [SY2251: $i] :
                        ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2250 )
                       != ( hAPP_val_option_val @ some_val @ SY2251 ) )
                    | ( SY2250 = SV353 )
                    | ( SY2250 != SV353 ) )
              | ~ ! [SY2252: $i,SY2253: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2252 )
                     != ( hAPP_val_option_val @ some_val @ SY2253 ) )
                    | ( SY2252 = SV353 )
                    | ( ( hAPP_l207779698on_val @ SV187 @ SY2252 )
                      = ( hAPP_val_option_val @ some_val @ SY2253 ) ) ) )
        | ~ ~ ( ~ ! [SY2254: $i,SY2255: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2254 )
                     != ( hAPP_val_option_val @ some_val @ SY2255 ) )
                    | ( SV464 = SY2255 )
                    | ( SY2254 != SV353 ) )
              | ~ ! [SY2256: $i,SY2257: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2256 )
                     != ( hAPP_val_option_val @ some_val @ SY2257 ) )
                    | ( SV464 = SY2257 )
                    | ( ( hAPP_l207779698on_val @ SV187 @ SY2256 )
                      = ( hAPP_val_option_val @ some_val @ SY2257 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2544]) ).

thf(2683,plain,
    ! [SV187: $i,SV464: $i,SV353: $i] :
      ( ( ~ ! [SY2258: $i,SY2259: $i] :
              ( ( SY2258 != SV353 )
              | ( SV464 != SY2259 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2258 )
                = ( hAPP_val_option_val @ some_val @ SY2259 ) ) )
        | ~ ! [SY2260: $i,SY2261: $i] :
              ( ( SY2260 = SV353 )
              | ( ( hAPP_l207779698on_val @ SV187 @ SY2260 )
               != ( hAPP_val_option_val @ some_val @ SY2261 ) )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2260 )
                = ( hAPP_val_option_val @ some_val @ SY2261 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2545]) ).

thf(2684,plain,
    ! [SV363: $i,SV25: $i,SV470: $i,SV203: $i] :
      ( ( ( hBOOL @ ( widen_2090681816t_char @ SV203 @ SV470 @ SV25 ) )
        = $false )
      | ( ( hBOOL @ ( widen_2090681816t_char @ SV203 @ SV363 @ SV25 ) )
        = $true )
      | ( ( hBOOL @ ( widen_2090681816t_char @ SV203 @ SV363 @ SV470 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2548]) ).

thf(2685,plain,
    ! [SV829: $i,SV772: $i,SV599: $i,SV471: $i,SV364: $i,SV204: $i,SV26: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV26 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV204 ) @ SV364 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV471 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV599 ) @ SV772 ) ) ) @ ( red @ SV829 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hext @ SV204 @ SV599 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2549]) ).

thf(2686,plain,
    ! [SV27: $i,SV830: $i,SV773: $i,SV697: $i,SV600: $i,SV472: $i,SV365: $i,SV205: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV205 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV365 ) @ SV472 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV600 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV697 ) @ SV773 ) ) ) @ ( red @ SV830 ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV205 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV365 ) @ ( map_ad325961431ar_val @ SV27 @ SV472 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV600 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV697 ) @ ( map_ad325961431ar_val @ SV27 @ SV773 ) ) ) ) @ ( red @ SV830 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2550]) ).

thf(2687,plain,
    ! [SV601: $i,SV366: $i,SV206: $i,SV473: $i,SV28: $i] :
      ( ( ( ~ ( hBOOL @ ( conf_P373316194t_char @ SV28 @ SV473 @ SV206 @ SV366 ) ) )
        = $true )
      | ( ( hBOOL @ ( conf_P373316194t_char @ SV28 @ SV601 @ SV206 @ SV366 ) )
        = $true )
      | ( ( hBOOL @ ( hext @ SV473 @ SV601 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2551]) ).

thf(2688,plain,
    ! [SV474: $i,SV367: $i,SV29: $i,SV602: $i,SV207: $i] :
      ( ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV207 @ SV602 @ SV29 ) ) )
        = $true )
      | ( ( hBOOL @ ( conf_P373316194t_char @ SV207 @ SV367 @ SV474 @ SV29 ) )
        = $true )
      | ( ( hBOOL @ ( conf_P373316194t_char @ SV207 @ SV367 @ SV474 @ SV602 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2552]) ).

thf(2689,plain,
    ! [SV34: $i,SV698: $i,SV604: $i,SV479: $i,SV372: $i,SV212: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV212 ) @ SV372 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV479 ) @ SV604 ) ) @ ( red @ SV698 ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV34 @ SV212 ) ) @ SV372 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV34 @ SV479 ) ) @ SV604 ) ) @ ( red @ SV698 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2553]) ).

thf(2690,plain,
    ! [SV35: $i,SV699: $i,SV605: $i,SV480: $i,SV373: $i,SV213: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV213 ) @ SV373 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV480 ) @ SV605 ) ) @ ( red @ SV699 ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV213 @ SV35 ) ) @ SV373 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV480 @ SV35 ) ) @ SV605 ) ) @ ( red @ SV699 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2554]) ).

thf(2691,plain,
    ! [SV216: $i,SV38: $i,SV831: $i,SV700: $i,SV606: $i,SV483: $i,SV376: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SV606 @ SV700 @ SV831 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SV606 @ SV38 @ SV216 ) )
          | ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SV606 @ ( seq_list_char @ SV700 @ SV38 ) @ SV216 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2555]) ).

thf(2692,plain,
    ! [SV41: $i,SV701: $i,SV607: $i,SV484: $i,SV378: $i,SV218: $i] :
      ( ( ( hBOOL @ ( wTrt @ SV218 @ SV378 @ SV484 @ SV607 @ SV701 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hext @ SV378 @ SV41 ) )
          | ( hBOOL @ ( wTrt @ SV218 @ SV41 @ SV484 @ SV607 @ SV701 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2557]) ).

thf(2693,plain,
    ! [SV43: $i,SV702: $i,SV608: $i,SV485: $i,SV379: $i,SV220: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV220 ) @ SV379 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV485 ) @ SV608 ) ) @ ( transi2024712006on_val @ ( red @ SV702 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV220 @ SV43 ) ) @ SV379 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV485 @ SV43 ) ) @ SV608 ) ) @ ( transi2024712006on_val @ ( red @ SV702 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2558]) ).

thf(2694,plain,
    ! [SV44: $i,SV703: $i,SV609: $i,SV486: $i,SV380: $i,SV221: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV221 ) @ SV380 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV486 ) @ SV609 ) ) @ ( transi2024712006on_val @ ( red @ SV703 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV44 @ SV221 ) ) @ SV380 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV44 @ SV486 ) ) @ SV609 ) ) @ ( transi2024712006on_val @ ( red @ SV703 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2559]) ).

thf(2695,plain,
    ! [SV45: $i,SV832: $i,SV774: $i,SV704: $i,SV610: $i,SV487: $i,SV381: $i,SV222: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV222 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV381 ) @ SV487 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV610 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV704 ) @ SV774 ) ) ) @ ( transi2024712006on_val @ ( red @ SV832 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV222 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV381 ) @ ( map_ad325961431ar_val @ SV45 @ SV487 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV610 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV704 ) @ ( map_ad325961431ar_val @ SV45 @ SV774 ) ) ) ) @ ( transi2024712006on_val @ ( red @ SV832 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2560]) ).

thf(2696,plain,
    ! [SV382: $i,SV223: $i,SV46: $i,SV833: $i,SV775: $i,SV705: $i,SV611: $i,SV488: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV488 ) @ SV611 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV705 ) @ SV775 ) ) @ ( red @ SV833 ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV488 @ SV46 @ SV223 @ SV382 ) ) @ SV611 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV705 @ SV46 @ SV223 @ SV382 ) ) @ SV775 ) ) @ ( red @ SV833 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2561]) ).

thf(2697,plain,
    ! [SV383: $i,SV224: $i,SV47: $i,SV834: $i,SV776: $i,SV706: $i,SV612: $i,SV489: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV489 ) @ SV612 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV706 ) @ SV776 ) ) @ ( red @ SV834 ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV47 ) @ SV224 @ SV383 @ SV489 ) ) @ SV612 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV47 ) @ SV224 @ SV383 @ SV706 ) ) @ SV776 ) ) @ ( red @ SV834 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2562]) ).

thf(2698,plain,
    ! [SV384: $i,SV225: $i,SV48: $i,SV835: $i,SV777: $i,SV707: $i,SV613: $i,SV490: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV490 ) @ SV613 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV707 ) @ SV777 ) ) @ ( transi2024712006on_val @ ( red @ SV835 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV490 @ SV48 @ SV225 @ SV384 ) ) @ SV613 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV707 @ SV48 @ SV225 @ SV384 ) ) @ SV777 ) ) @ ( transi2024712006on_val @ ( red @ SV835 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2563]) ).

thf(2699,plain,
    ! [SV226: $i,SV49: $i,SV778: $i,SV708: $i,SV614: $i,SV491: $i,SV385: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV385 ) @ SV491 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV614 ) @ SV708 ) ) @ ( red @ SV778 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV385 @ SV49 @ SV226 ) ) @ SV491 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV614 @ SV49 @ SV226 ) ) @ SV708 ) ) @ ( red @ SV778 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2564]) ).

thf(2700,plain,
    ! [SV227: $i,SV50: $i,SV779: $i,SV709: $i,SV615: $i,SV492: $i,SV386: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV386 ) @ SV492 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV615 ) @ SV709 ) ) @ ( transi2024712006on_val @ ( red @ SV779 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV386 @ SV50 @ SV227 ) ) @ SV492 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV615 @ SV50 @ SV227 ) ) @ SV709 ) ) @ ( transi2024712006on_val @ ( red @ SV779 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2565]) ).

thf(2701,plain,
    ! [SV395: $i,SV236: $i,SV59: $i,SV836: $i,SV780: $i,SV711: $i,SV621: $i,SV500: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV500 ) @ SV621 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV711 ) @ SV780 ) ) @ ( red @ SV836 ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV500 @ SV59 @ SV236 @ SV395 ) ) @ SV621 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV711 @ SV59 @ SV236 @ SV395 ) ) @ SV780 ) ) @ ( red @ SV836 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2569]) ).

thf(2702,plain,
    ! [SV397: $i,SV238: $i,SV61: $i,SV837: $i,SV781: $i,SV713: $i,SV623: $i,SV502: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV502 ) @ SV623 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV713 ) @ SV781 ) ) @ ( transi2024712006on_val @ ( red @ SV837 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV502 @ SV61 @ SV238 @ SV397 ) ) @ SV623 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV713 @ SV61 @ SV238 @ SV397 ) ) @ SV781 ) ) @ ( transi2024712006on_val @ ( red @ SV837 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2570]) ).

thf(2703,plain,
    ! [SV62: $i,SV714: $i,SV624: $i,SV503: $i,SV398: $i,SV239: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV239 ) @ SV398 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV503 ) @ SV624 ) ) @ ( red @ SV714 ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV62 @ SV239 ) ) @ SV398 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV62 @ SV503 ) ) @ SV624 ) ) @ ( red @ SV714 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2571]) ).

thf(2704,plain,
    ! [SV64: $i,SV715: $i,SV625: $i,SV505: $i,SV400: $i,SV241: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV241 ) @ SV400 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV505 ) @ SV625 ) ) @ ( transi2024712006on_val @ ( red @ SV715 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV64 @ SV241 ) ) @ SV400 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV64 @ SV505 ) ) @ SV625 ) ) @ ( transi2024712006on_val @ ( red @ SV715 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2572]) ).

thf(2705,plain,
    ! [SV242: $i,SV65: $i,SV782: $i,SV716: $i,SV626: $i,SV506: $i,SV401: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV401 ) @ SV506 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV626 ) @ SV716 ) ) @ ( red @ SV782 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV401 @ SV65 @ SV242 ) ) @ SV506 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV626 @ SV65 @ SV242 ) ) @ SV716 ) ) @ ( red @ SV782 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2573]) ).

thf(2706,plain,
    ! [SV243: $i,SV66: $i,SV783: $i,SV717: $i,SV627: $i,SV507: $i,SV402: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV402 ) @ SV507 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV627 ) @ SV717 ) ) @ ( red @ SV783 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV66 ) @ SV243 @ SV402 ) ) @ SV507 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV66 ) @ SV243 @ SV627 ) ) @ SV717 ) ) @ ( red @ SV783 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2574]) ).

thf(2707,plain,
    ! [SV245: $i,SV68: $i,SV784: $i,SV718: $i,SV629: $i,SV509: $i,SV404: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV404 ) @ SV509 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV629 ) @ SV718 ) ) @ ( transi2024712006on_val @ ( red @ SV784 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV404 @ SV68 @ SV245 ) ) @ SV509 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV629 @ SV68 @ SV245 ) ) @ SV718 ) ) @ ( transi2024712006on_val @ ( red @ SV784 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2575]) ).

thf(2708,plain,
    ! [SV121: $i,SV296: $i,SV838: $i,SV785: $i,SV720: $i,SV633: $i,SV520: $i,SV424: $i] :
      ( ( ! [SY2724: $i,SY2725: $i,SY2726: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV424 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ ( fun_up1149430426on_val @ SV633 @ SV720 @ ( hAPP_val_option_val @ some_val @ SV785 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV838 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2724 ) @ SY2725 ) ) ) @ ( red @ SY2726 ) ) )
            | ( ( hAPP_l207779698on_val @ SY2725 @ SV720 )
             != ( hAPP_val_option_val @ some_val @ SV296 ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV720 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SV720 @ ( val_list_char @ SV785 ) ) @ SV424 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ SV633 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV720 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SV720 @ ( val_list_char @ SV296 ) ) @ SV838 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2724 ) @ ( fun_up1149430426on_val @ SY2725 @ SV720 @ ( hAPP_l207779698on_val @ SV633 @ SV720 ) ) ) ) ) @ ( red @ SY2726 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2576]) ).

thf(2709,plain,
    ! [SV137: $i,SV786: $i,SV721: $i,SV639: $i,SV530: $i,SV438: $i,SV312: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV312 ) @ SV438 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV530 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV639 ) @ SV721 ) ) ) @ ( transi2024712006on_val @ ( red @ SV786 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV137 @ SV312 ) ) @ SV438 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV639 ) @ ( fun_up1149430426on_val @ SV721 @ SV137 @ ( hAPP_val_option_val @ some_val @ SV530 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SV786 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2577]) ).

thf(2710,plain,
    ! [SV439: $i,SV313: $i,SV138: $i,SV839: $i,SV787: $i,SV722: $i,SV640: $i,SV531: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV531 ) @ SV640 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV722 ) ) @ SV787 ) ) @ ( transi2024712006on_val @ ( red @ SV839 ) ) ) )
        | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV138 ) @ SV787 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV439 ) ) @ ( transi2024712006on_val @ ( red @ SV839 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV531 @ SV138 ) ) @ SV640 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV439 ) ) @ ( transi2024712006on_val @ ( red @ SV839 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2578]) ).

thf(2711,plain,
    ! [SV139: $i,SV840: $i,SV788: $i,SV723: $i,SV641: $i,SV532: $i,SV440: $i,SV314: $i] :
      ( ( ! [SY2727: $i,SY2728: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV314 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV440 ) @ ( fun_up1149430426on_val @ SV532 @ SV641 @ ( hAPP_val_option_val @ some_val @ SV723 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV788 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV840 ) @ SY2727 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2728 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV641 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SV641 @ ( val_list_char @ SV723 ) ) @ SV314 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV440 ) @ SV532 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV641 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SV641 @ ( val_list_char @ ( the_val @ ( hAPP_l207779698on_val @ SY2727 @ SV641 ) ) ) ) @ SV788 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV840 ) @ ( fun_up1149430426on_val @ SY2727 @ SV641 @ ( hAPP_l207779698on_val @ SV532 @ SV641 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2728 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2579]) ).

thf(2712,plain,
    ! [SV140: $i,SV841: $i,SV789: $i,SV724: $i,SV642: $i,SV533: $i,SV441: $i,SV315: $i] :
      ( ( ! [SY2729: $i,SY2730: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV315 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ ( fun_up1149430426on_val @ SV533 @ SV642 @ ( hAPP_val_option_val @ some_val @ SV724 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV789 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV841 ) @ SY2729 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2730 ) ) ) )
            | ~ ( hBOOL @ ( final_list_char @ SV789 ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV642 @ SV140 @ ( seq_list_char @ ( lAss_list_char @ SV642 @ ( val_list_char @ SV724 ) ) @ SV315 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ SV533 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV789 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV841 ) @ ( fun_up1149430426on_val @ SY2729 @ SV642 @ ( hAPP_l207779698on_val @ SV533 @ SV642 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2730 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2580]) ).

thf(2713,plain,
    ! [SV442: $i,SV316: $i,SV142: $i,SV842: $i,SV790: $i,SV725: $i,SV643: $i,SV534: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV534 ) @ SV643 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV725 ) @ SV790 ) ) @ ( transi2024712006on_val @ ( red @ SV842 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV142 ) @ SV316 @ SV442 @ SV534 ) ) @ SV643 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV142 ) @ SV316 @ SV442 @ SV725 ) ) @ SV790 ) ) @ ( transi2024712006on_val @ ( red @ SV842 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2581]) ).

thf(2714,plain,
    ! [SV145: $i,SV728: $i,SV646: $i,SV537: $i,SV445: $i,SV319: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV319 ) @ SV445 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV537 ) ) @ SV646 ) ) @ ( transi2024712006on_val @ ( red @ SV728 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV145 @ SV319 ) ) @ SV445 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV537 ) ) @ SV646 ) ) @ ( transi2024712006on_val @ ( red @ SV728 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2582]) ).

thf(2715,plain,
    ! [SV146: $i,SV729: $i,SV647: $i,SV538: $i,SV446: $i,SV320: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV320 ) @ SV446 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV538 ) ) @ SV647 ) ) @ ( transi2024712006on_val @ ( red @ SV729 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV320 @ SV146 ) ) @ SV446 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV538 ) ) @ SV647 ) ) @ ( transi2024712006on_val @ ( red @ SV729 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2583]) ).

thf(2716,plain,
    ! [SV447: $i,SV321: $i,SV147: $i,SV843: $i,SV791: $i,SV730: $i,SV648: $i,SV539: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV539 ) @ SV648 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV730 ) ) @ SV791 ) ) @ ( transi2024712006on_val @ ( red @ SV843 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV539 @ SV147 @ SV321 @ SV447 ) ) @ SV648 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV730 ) ) @ SV791 ) ) @ ( transi2024712006on_val @ ( red @ SV843 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2584]) ).

thf(2717,plain,
    ! [SV322: $i,SV148: $i,SV792: $i,SV731: $i,SV649: $i,SV540: $i,SV448: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV448 ) @ SV540 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV649 ) ) @ SV731 ) ) @ ( transi2024712006on_val @ ( red @ SV792 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV448 @ SV148 @ SV322 ) ) @ SV540 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV649 ) ) @ SV731 ) ) @ ( transi2024712006on_val @ ( red @ SV792 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2585]) ).

thf(2718,plain,
    ! [SV323: $i,SV149: $i,SV650: $i,SV541: $i,SV449: $i,SV844: $i,SV793: $i,SV732: $i] :
      ( ( ! [SY2731: $i,SY2732: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV732 ) @ SV793 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV844 ) ) @ SY2731 ) ) @ ( transi2024712006on_val @ ( red @ SY2732 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV449 ) @ SY2731 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SV650 ) ) @ ( transi2024712006on_val @ ( red @ SY2732 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV732 @ SV149 @ SV323 @ SV449 ) ) @ SV793 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SV650 ) ) @ ( transi2024712006on_val @ ( red @ SY2732 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2586]) ).

thf(2719,plain,
    ! [SV451: $i,SV325: $i,SV151: $i,SV845: $i,SV794: $i,SV733: $i,SV652: $i,SV543: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV543 ) @ SV652 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV733 ) ) @ SV794 ) ) @ ( transi2024712006on_val @ ( red @ SV845 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV543 @ SV151 @ SV325 @ SV451 ) ) @ SV652 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV733 ) ) @ SV794 ) ) @ ( transi2024712006on_val @ ( red @ SV845 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2587]) ).

thf(2720,plain,
    ! [SV152: $i,SV734: $i,SV653: $i,SV544: $i,SV452: $i,SV326: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV326 ) @ SV452 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV544 ) ) @ SV653 ) ) @ ( transi2024712006on_val @ ( red @ SV734 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV152 @ SV326 ) ) @ SV452 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV544 ) ) @ SV653 ) ) @ ( transi2024712006on_val @ ( red @ SV734 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2588]) ).

thf(2721,plain,
    ! [SV454: $i,SV328: $i,SV154: $i,SV795: $i,SV735: $i,SV655: $i,SV546: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt @ SV546 @ SV655 @ SV735 @ SV795 @ nt ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV546 @ SV655 @ SV735 @ ( fAcc_list_char @ SV795 @ SV154 @ SV328 ) @ SV454 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2590]) ).

thf(2722,plain,
    ! [SV156: $i,SV736: $i,SV656: $i,SV547: $i,SV456: $i,SV330: $i] :
      ( ( ( hBOOL @ ( wTrt @ SV330 @ SV456 @ SV547 @ SV656 @ SV736 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( is_refT @ SV736 ) )
          | ( hBOOL @ ( wTrt @ SV330 @ SV456 @ SV547 @ ( throw_list_char @ SV656 ) @ SV156 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2591]) ).

thf(2723,plain,
    ! [SV157: $i,SV548: $i,SV457: $i,SV331: $i,SV846: $i,SV796: $i,SV737: $i,SV657: $i] :
      ( ( ! [SY2733: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV657 ) @ SV737 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV796 ) ) @ SV846 ) ) @ ( transi2024712006on_val @ ( red @ SY2733 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV331 ) @ SV846 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SV548 ) ) @ ( transi2024712006on_val @ ( red @ SY2733 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV657 @ SV157 @ SV331 ) ) @ SV737 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SV548 ) ) @ ( transi2024712006on_val @ ( red @ SY2733 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2592]) ).

thf(2724,plain,
    ! [SV333: $i,SV159: $i,SV797: $i,SV738: $i,SV659: $i,SV550: $i,SV459: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV459 ) @ SV550 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV659 ) @ SV738 ) ) @ ( transi2024712006on_val @ ( red @ SV797 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV159 ) @ SV333 @ SV459 ) ) @ SV550 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV159 ) @ SV333 @ SV659 ) ) @ SV738 ) ) @ ( transi2024712006on_val @ ( red @ SV797 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2593]) ).

thf(2725,plain,
    ! [SV334: $i,SV160: $i,SV798: $i,SV739: $i,SV660: $i,SV551: $i,SV460: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV460 ) @ SV551 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV660 ) ) @ SV739 ) ) @ ( transi2024712006on_val @ ( red @ SV798 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV460 @ SV160 @ SV334 ) ) @ SV551 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV660 ) ) @ SV739 ) ) @ ( transi2024712006on_val @ ( red @ SV798 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2594]) ).

thf(2726,plain,
    ! [SV799: $i,SV741: $i,SV553: $i] :
      ( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV553 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV741 ) @ SV799 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV553 @ ( sK13_X1 @ SV553 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2596]) ).

thf(2727,plain,
    ! [SV742: $i,SV665: $i,SV168: $i] :
      ( ( ( ( fun_up204312361on_val @ SV168 @ SV665 @ SV742 )
          = SV168 )
        = $false )
      | ( ( ( hAPP_P2094403585on_val @ SV168 @ SV665 )
          = SV742 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2601]) ).

thf(2728,plain,
    ! [SV743: $i,SV666: $i,SV168: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ SV168 @ SV666 )
          = SV743 )
        = $false )
      | ( ( ( fun_up204312361on_val @ SV168 @ SV666 @ SV743 )
          = SV168 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2602]) ).

thf(2729,plain,
    ! [SV560: $i,SV669: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV669 ) )
              | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV560 ) ) ) )
        = $false )
      | ( ( SV669 = SV560 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2605]) ).

thf(2730,plain,
    ! [SV560: $i,SV669: $i] :
      ( ( ( ~ ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV669 ) )
              | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV560 ) ) ) )
        = $false )
      | ( ( SV669 = SV560 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2605]) ).

thf(2731,plain,
    ! [SV561: $i,SV670: $i] :
      ( ( ( ~ ! [SY2596: $i,SY2597: $i] :
                ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2596 ) @ SY2597 ) @ SV670 ) )
                | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2596 ) @ SY2597 ) @ SV561 ) ) )
          | ~ ! [SY2598: $i,SY2599: $i] :
                ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2598 ) @ SY2599 ) @ SV561 ) )
                | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2598 ) @ SY2599 ) @ SV670 ) ) ) )
        = $false )
      | ( ( SV670 = SV561 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2606]) ).

thf(2732,plain,
    ! [SV744: $i,SV562: $i,SV461: $i,SV337: $i,SV169: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt @ SV169 @ SV337 @ SV461 @ SV562 @ ( sK1_T_r @ SV562 @ SV461 @ SV337 @ SV169 ) ) )
          | ~ ( hBOOL @ ( is_refT @ ( sK1_T_r @ SV562 @ SV461 @ SV337 @ SV169 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( wTrt @ SV169 @ SV337 @ SV461 @ ( throw_list_char @ SV562 ) @ SV744 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2607]) ).

thf(2733,plain,
    ! [SV847: $i,SV800: $i,SV563: $i,SV671: $i] :
      ( ( ( ( SV671
           != ( seq_list_char @ ( lAss_list_char @ SV563 @ ( val_list_char @ SV800 ) ) @ SV847 ) ) )
        = $true )
      | ( ( hBOOL @ ( assigned @ SV563 @ SV671 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2608]) ).

thf(2734,plain,
    ! [SV848: $i,SV801: $i] :
      ( ( ~ ( hBOOL @ SV801 )
        | ~ ( hBOOL @ SV848 )
        | ( ( bool @ SV801 )
          = ( bool @ SV848 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2610]) ).

thf(2735,plain,
    ! [SV849: $i,SV802: $i] :
      ( ( ( hBOOL @ SV802 )
        | ( hBOOL @ SV849 )
        | ( ( bool @ SV802 )
          = ( bool @ SV849 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2611]) ).

thf(2736,plain,
    ! [SV850: $i,SV803: $i] :
      ( ( ( ( bool @ SV803 )
         != ( bool @ SV850 ) )
        | ~ ( hBOOL @ SV803 )
        | ( hBOOL @ SV850 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2612]) ).

thf(2737,plain,
    ! [SV851: $i,SV804: $i] :
      ( ( ( ( bool @ SV804 )
         != ( bool @ SV851 ) )
        | ~ ( hBOOL @ SV851 )
        | ( hBOOL @ SV804 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2613]) ).

thf(2738,plain,
    ! [SV338: $i,SV170: $i,SV805: $i,SV745: $i] :
      ( ( ( ( SV745 != SV805 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV170 @ SV805 @ SV338 ) @ SV745 )
          = SV338 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2614]) ).

thf(2739,plain,
    ! [SV338: $i,SV170: $i,SV806: $i,SV746: $i] :
      ( ( ( SV746 = SV806 )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV170 @ SV806 @ SV338 ) @ SV746 )
          = ( hAPP_l207779698on_val @ SV170 @ SV746 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2615]) ).

thf(2740,plain,
    ! [SV171: $i,SV339: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt @ p @ h_a @ SV339 @ e_a @ ( sK6_T_3 @ SV339 @ SV171 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( wTrt @ p @ ha @ SV339 @ ea @ SV171 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa807100911_sconf @ p @ SV339 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2616]) ).

thf(2741,plain,
    ! [SV171: $i,SV339: $i] :
      ( ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK6_T_3 @ SV339 @ SV171 ) @ SV171 ) ) )
        = $false )
      | ( ( hBOOL @ ( wTrt @ p @ ha @ SV339 @ ea @ SV171 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa807100911_sconf @ p @ SV339 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2616]) ).

thf(2742,plain,
    ! [SV852: $i,SV807: $i,SV565: $i] :
      ( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV565 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV807 ) @ SV852 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV565 @ ( sK54_X1 @ SV565 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2617]) ).

thf(2743,plain,
    ! [SV853: $i,SV747: $i,SV340: $i,SV172: $i] :
      ( ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV172 ) @ SV340 )
           != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV747 ) @ SV853 ) ) )
        = $true )
      | ( ( SV172 = SV747 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2621]) ).

thf(2744,plain,
    ! [SV809: $i,SV748: $i,SV340: $i,SV172: $i] :
      ( ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV172 ) @ SV340 )
           != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV748 ) @ SV809 ) ) )
        = $true )
      | ( ( SV340 = SV809 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2622]) ).

thf(2745,plain,
    ! [SV810: $i,SV341: $i,SV749: $i,SV173: $i] :
      ( ( ( ( SV173 != SV749 )
          | ( SV341 != SV810 ) )
        = $true )
      | ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV749 ) @ SV810 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2625]) ).

thf(2746,plain,
    ! [SV341: $i,SV173: $i] :
      ( ( ! [SY1895: $i] :
            ( ! [SY1896: $i] :
                ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
               != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1895 ) @ SY1896 ) )
            | ( SV173 = SY1895 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2626]) ).

thf(2747,plain,
    ! [SV341: $i,SV173: $i] :
      ( ( ! [SY1897: $i,SY1898: $i] :
            ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1897 ) @ SY1898 ) )
            | ( SV341 = SY1898 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2627]) ).

thf(2748,plain,
    ! [SV342: $i,SV174: $i,SV750: $i,SV811: $i] :
      ( ( ( ( SV811 != SV750 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV174 @ SV750 @ SV342 ) @ SV811 )
          = SV342 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2628]) ).

thf(2749,plain,
    ! [SV342: $i,SV174: $i,SV751: $i,SV812: $i] :
      ( ( ( SV812 = SV751 )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV174 @ SV751 @ SV342 ) @ SV812 )
          = ( hAPP_l207779698on_val @ SV174 @ SV812 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2629]) ).

thf(2750,plain,
    ! [SV854: $i,SV752: $i,SV343: $i,SV175: $i] :
      ( ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV175 ) @ SV343 )
           != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV752 ) @ SV854 ) ) )
        = $true )
      | ( ( SV175 = SV752 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2630]) ).

thf(2751,plain,
    ! [SV813: $i,SV753: $i,SV343: $i,SV175: $i] :
      ( ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV175 ) @ SV343 )
           != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV753 ) @ SV813 ) ) )
        = $true )
      | ( ( SV343 = SV813 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2631]) ).

thf(2752,plain,
    ! [SV462: $i,SV855: $i,SV344: $i,SV573: $i,SV176: $i] :
      ( ( ! [SY2734: $i] :
            ( ( SV176 != SV573 )
            | ( SV344 != SV855 )
            | ( SV462 != SY2734 )
            | ( ( block_list_char @ SV176 @ SV344 @ SV462 )
              = ( block_list_char @ SV573 @ SV855 @ SY2734 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2634]) ).

thf(2753,plain,
    ! [SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ~ ~ ( ~ ( ! [SY2456: $i,SY2457: $i] :
                      ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                     != ( block_list_char @ SV573 @ SY2456 @ SY2457 ) )
                  | ( SV176 = SV573 ) )
              | ~ ! [SY2458: $i] :
                    ( ! [SY2459: $i] :
                        ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                       != ( block_list_char @ SV573 @ SY2458 @ SY2459 ) )
                    | ( SV344 = SY2458 ) ) )
        | ~ ! [SY2460: $i,SY2461: $i] :
              ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
               != ( block_list_char @ SV573 @ SY2460 @ SY2461 ) )
              | ( SV462 = SY2461 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2635]) ).

thf(2754,plain,
    ! [SV814: $i,SV345: $i,SV754: $i,SV177: $i] :
      ( ( ( ( SV177 != SV754 )
          | ( SV345 != SV814 ) )
        = $true )
      | ( ( ( seq_list_char @ SV177 @ SV345 )
          = ( seq_list_char @ SV754 @ SV814 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2638]) ).

thf(2755,plain,
    ! [SV345: $i,SV177: $i] :
      ( ( ! [SY1919: $i] :
            ( ! [SY1920: $i] :
                ( ( seq_list_char @ SV177 @ SV345 )
               != ( seq_list_char @ SY1919 @ SY1920 ) )
            | ( SV177 = SY1919 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2639]) ).

thf(2756,plain,
    ! [SV345: $i,SV177: $i] :
      ( ( ! [SY1921: $i,SY1922: $i] :
            ( ( ( seq_list_char @ SV177 @ SV345 )
             != ( seq_list_char @ SY1921 @ SY1922 ) )
            | ( SV345 = SY1922 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2640]) ).

thf(2757,plain,
    ! [SV815: $i,SV756: $i,SV577: $i] :
      ( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV577 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV756 ) @ SV815 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV577 @ ( sK10_X1 @ SV577 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2642]) ).

thf(2758,plain,
    ! [SV578: $i,SV681: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV681 ) )
              | ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV578 ) ) ) )
        = $false )
      | ( ( SV681 = SV578 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2643]) ).

thf(2759,plain,
    ! [SV578: $i,SV681: $i] :
      ( ( ( ~ ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV681 ) )
              | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV578 ) ) ) )
        = $false )
      | ( ( SV681 = SV578 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2643]) ).

thf(2760,plain,
    ! [SV579: $i,SV682: $i] :
      ( ( ( ~ ! [SY2602: $i,SY2603: $i] :
                ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2602 ) @ SY2603 ) @ SV682 ) )
                | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2602 ) @ SY2603 ) @ SV579 ) ) )
          | ~ ! [SY2604: $i,SY2605: $i] :
                ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2604 ) @ SY2605 ) @ SV579 ) )
                | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2604 ) @ SY2605 ) @ SV682 ) ) ) )
        = $false )
      | ( ( SV682 = SV579 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2644]) ).

thf(2761,plain,
    ! [SV856: $i,SV816: $i,SV580: $i] :
      ( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV580 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV816 ) @ SV856 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV580 @ ( sK51_X1 @ SV580 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2645]) ).

thf(2762,plain,
    ! [SV463: $i,SV346: $i,SV178: $i] :
      ( ( ~ ~ ( ~ ! [SY2238: $i] :
                    ( ! [SY2239: $i] :
                        ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2238 )
                       != ( hAPP_val_option_val @ some_val @ SY2239 ) )
                    | ( SY2238 = SV346 )
                    | ( SY2238 != SV346 ) )
              | ~ ! [SY2240: $i,SY2241: $i] :
                    ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2240 )
                     != ( hAPP_val_option_val @ some_val @ SY2241 ) )
                    | ( SY2240 = SV346 )
                    | ( ( hAPP_P2094403585on_val @ SV178 @ SY2240 )
                      = ( hAPP_val_option_val @ some_val @ SY2241 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2649]) ).

thf(2763,plain,
    ! [SV463: $i,SV346: $i,SV178: $i] :
      ( ( ~ ~ ( ~ ! [SY2242: $i,SY2243: $i] :
                    ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2242 )
                     != ( hAPP_val_option_val @ some_val @ SY2243 ) )
                    | ( SV463 = SY2243 )
                    | ( SY2242 != SV346 ) )
              | ~ ! [SY2244: $i,SY2245: $i] :
                    ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2244 )
                     != ( hAPP_val_option_val @ some_val @ SY2245 ) )
                    | ( SV463 = SY2245 )
                    | ( ( hAPP_P2094403585on_val @ SV178 @ SY2244 )
                      = ( hAPP_val_option_val @ some_val @ SY2245 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2649]) ).

thf(2764,plain,
    ! [SV178: $i,SV463: $i,SV346: $i] :
      ( ( ~ ! [SY2246: $i,SY2247: $i] :
              ( ( SY2246 != SV346 )
              | ( SV463 != SY2247 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2246 )
                = ( hAPP_val_option_val @ some_val @ SY2247 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2650]) ).

thf(2765,plain,
    ! [SV463: $i,SV178: $i,SV346: $i] :
      ( ( ~ ! [SY2248: $i,SY2249: $i] :
              ( ( SY2248 = SV346 )
              | ( ( hAPP_P2094403585on_val @ SV178 @ SY2248 )
               != ( hAPP_val_option_val @ some_val @ SY2249 ) )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2248 )
                = ( hAPP_val_option_val @ some_val @ SY2249 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2650]) ).

thf(2766,plain,
    ! [SV818: $i,SV347: $i,SV757: $i,SV179: $i] :
      ( ( ( ( SV179 != SV757 )
          | ( SV347 != SV818 ) )
        = $true )
      | ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV757 ) @ SV818 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2651]) ).

thf(2767,plain,
    ! [SV347: $i,SV179: $i] :
      ( ( ! [SY1938: $i] :
            ( ! [SY1939: $i] :
                ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
               != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1938 ) @ SY1939 ) )
            | ( SV179 = SY1938 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2652]) ).

thf(2768,plain,
    ! [SV347: $i,SV179: $i] :
      ( ( ! [SY1940: $i,SY1941: $i] :
            ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
             != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1940 ) @ SY1941 ) )
            | ( SV347 = SY1941 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2653]) ).

thf(2769,plain,
    ! [SV819: $i,SV759: $i,SV585: $i] :
      ( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV585 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV759 ) @ SV819 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV585 @ ( sK7_X1 @ SV585 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2655]) ).

thf(2770,plain,
    ! [SV857: $i,SV820: $i,SV586: $i] :
      ( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV586 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV820 ) @ SV857 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV586 @ ( sK48_X1 @ SV586 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2656]) ).

thf(2771,plain,
    ! [SV348: $i,SV180: $i,SV822: $i,SV760: $i] :
      ( ( ( ( SV760 != SV822 ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV180 @ SV822 @ SV348 ) @ SV760 )
          = SV348 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2658]) ).

thf(2772,plain,
    ! [SV348: $i,SV180: $i,SV823: $i,SV761: $i] :
      ( ( ( SV761 = SV823 )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV180 @ SV823 @ SV348 ) @ SV761 )
          = ( hAPP_P2094403585on_val @ SV180 @ SV761 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2659]) ).

thf(2773,plain,
    ! [SV762: $i,SV685: $i,SV181: $i] :
      ( ( ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV181 @ SV685 ) @ SV762 ) )
        = $false )
      | ( ( hBOOL @ ( d_list_char @ SV685 @ SV762 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2660]) ).

thf(2774,plain,
    ! [SV181: $i,SV763: $i,SV686: $i] :
      ( ( ( hBOOL @ ( d_list_char @ SV686 @ SV763 ) )
        = $false )
      | ( ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV181 @ SV686 ) @ SV763 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2661]) ).

thf(2775,plain,
    ! [SV858: $i,SV764: $i,SV349: $i,SV182: $i] :
      ( ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV182 ) @ SV349 )
           != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV764 ) @ SV858 ) ) )
        = $true )
      | ( ( SV182 = SV764 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2662]) ).

thf(2776,plain,
    ! [SV824: $i,SV765: $i,SV349: $i,SV182: $i] :
      ( ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV182 ) @ SV349 )
           != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV765 ) @ SV824 ) ) )
        = $true )
      | ( ( SV349 = SV824 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2663]) ).

thf(2777,plain,
    ! [SV590: $i,SV689: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV689 ) )
              | ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV590 ) ) ) )
        = $false )
      | ( ( SV689 = SV590 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2666]) ).

thf(2778,plain,
    ! [SV590: $i,SV689: $i] :
      ( ( ( ~ ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV689 ) )
              | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV590 ) ) ) )
        = $false )
      | ( ( SV689 = SV590 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2666]) ).

thf(2779,plain,
    ! [SV591: $i,SV690: $i] :
      ( ( ( ~ ! [SY2608: $i,SY2609: $i] :
                ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2608 ) @ SY2609 ) @ SV690 ) )
                | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2608 ) @ SY2609 ) @ SV591 ) ) )
          | ~ ! [SY2610: $i,SY2611: $i] :
                ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2610 ) @ SY2611 ) @ SV591 ) )
                | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2610 ) @ SY2611 ) @ SV690 ) ) ) )
        = $false )
      | ( ( SV690 = SV591 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2667]) ).

thf(2780,plain,
    ! [SV825: $i,SV350: $i,SV766: $i,SV183: $i] :
      ( ( ( ( SV183 != SV766 )
          | ( SV350 != SV825 ) )
        = $true )
      | ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV766 ) @ SV825 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2670]) ).

thf(2781,plain,
    ! [SV350: $i,SV183: $i] :
      ( ( ! [SY1952: $i] :
            ( ! [SY1953: $i] :
                ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
               != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1952 ) @ SY1953 ) )
            | ( SV183 = SY1952 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2671]) ).

thf(2782,plain,
    ! [SV350: $i,SV183: $i] :
      ( ( ! [SY1954: $i,SY1955: $i] :
            ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
             != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1954 ) @ SY1955 ) )
            | ( SV350 = SY1955 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2672]) ).

thf(2783,plain,
    ! [SV767: $i,SV693: $i,SV184: $i] :
      ( ( ( ( fun_up1149430426on_val @ SV184 @ SV693 @ SV767 )
          = SV184 )
        = $false )
      | ( ( ( hAPP_l207779698on_val @ SV184 @ SV693 )
          = SV767 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2673]) ).

thf(2784,plain,
    ! [SV768: $i,SV694: $i,SV184: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV184 @ SV694 )
          = SV768 )
        = $false )
      | ( ( ( fun_up1149430426on_val @ SV184 @ SV694 @ SV768 )
          = SV184 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2674]) ).

thf(2785,plain,
    ! [SV351: $i,SV185: $i,SV769: $i,SV826: $i] :
      ( ( ( ( SV826 != SV769 ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV185 @ SV769 @ SV351 ) @ SV826 )
          = SV351 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2675]) ).

thf(2786,plain,
    ! [SV351: $i,SV185: $i,SV770: $i,SV827: $i] :
      ( ( ( SV827 = SV770 )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV185 @ SV770 @ SV351 ) @ SV827 )
          = ( hAPP_P2094403585on_val @ SV185 @ SV827 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2676]) ).

thf(2787,plain,
    ! [SV828: $i,SV352: $i,SV771: $i,SV186: $i] :
      ( ( ( ( SV186 != SV771 )
          | ( SV352 != SV828 ) )
        = $true )
      | ( ( ( lAss_list_char @ SV186 @ SV352 )
          = ( lAss_list_char @ SV771 @ SV828 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2677]) ).

thf(2788,plain,
    ! [SV352: $i,SV186: $i] :
      ( ( ! [SY1962: $i] :
            ( ! [SY1963: $i] :
                ( ( lAss_list_char @ SV186 @ SV352 )
               != ( lAss_list_char @ SY1962 @ SY1963 ) )
            | ( SV186 = SY1962 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2678]) ).

thf(2789,plain,
    ! [SV352: $i,SV186: $i] :
      ( ( ! [SY1964: $i,SY1965: $i] :
            ( ( ( lAss_list_char @ SV186 @ SV352 )
             != ( lAss_list_char @ SY1964 @ SY1965 ) )
            | ( SV352 = SY1965 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2679]) ).

thf(2790,plain,
    ! [SV464: $i,SV353: $i,SV187: $i] :
      ( ( ~ ~ ( ~ ! [SY2250: $i] :
                    ( ! [SY2251: $i] :
                        ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2250 )
                       != ( hAPP_val_option_val @ some_val @ SY2251 ) )
                    | ( SY2250 = SV353 )
                    | ( SY2250 != SV353 ) )
              | ~ ! [SY2252: $i,SY2253: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2252 )
                     != ( hAPP_val_option_val @ some_val @ SY2253 ) )
                    | ( SY2252 = SV353 )
                    | ( ( hAPP_l207779698on_val @ SV187 @ SY2252 )
                      = ( hAPP_val_option_val @ some_val @ SY2253 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2682]) ).

thf(2791,plain,
    ! [SV464: $i,SV353: $i,SV187: $i] :
      ( ( ~ ~ ( ~ ! [SY2254: $i,SY2255: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2254 )
                     != ( hAPP_val_option_val @ some_val @ SY2255 ) )
                    | ( SV464 = SY2255 )
                    | ( SY2254 != SV353 ) )
              | ~ ! [SY2256: $i,SY2257: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2256 )
                     != ( hAPP_val_option_val @ some_val @ SY2257 ) )
                    | ( SV464 = SY2257 )
                    | ( ( hAPP_l207779698on_val @ SV187 @ SY2256 )
                      = ( hAPP_val_option_val @ some_val @ SY2257 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2682]) ).

thf(2792,plain,
    ! [SV187: $i,SV464: $i,SV353: $i] :
      ( ( ~ ! [SY2258: $i,SY2259: $i] :
              ( ( SY2258 != SV353 )
              | ( SV464 != SY2259 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2258 )
                = ( hAPP_val_option_val @ some_val @ SY2259 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2683]) ).

thf(2793,plain,
    ! [SV464: $i,SV187: $i,SV353: $i] :
      ( ( ~ ! [SY2260: $i,SY2261: $i] :
              ( ( SY2260 = SV353 )
              | ( ( hAPP_l207779698on_val @ SV187 @ SY2260 )
               != ( hAPP_val_option_val @ some_val @ SY2261 ) )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2260 )
                = ( hAPP_val_option_val @ some_val @ SY2261 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2683]) ).

thf(2794,plain,
    ! [SV829: $i,SV772: $i,SV599: $i,SV471: $i,SV364: $i,SV204: $i,SV26: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV26 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV204 ) @ SV364 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV471 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV599 ) @ SV772 ) ) ) @ ( red @ SV829 ) ) )
        = $false )
      | ( ( hBOOL @ ( hext @ SV204 @ SV599 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2685]) ).

thf(2795,plain,
    ! [SV27: $i,SV830: $i,SV773: $i,SV697: $i,SV600: $i,SV472: $i,SV365: $i,SV205: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV205 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV365 ) @ SV472 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV600 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV697 ) @ SV773 ) ) ) @ ( red @ SV830 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV205 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV365 ) @ ( map_ad325961431ar_val @ SV27 @ SV472 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV600 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV697 ) @ ( map_ad325961431ar_val @ SV27 @ SV773 ) ) ) ) @ ( red @ SV830 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2686]) ).

thf(2796,plain,
    ! [SV601: $i,SV366: $i,SV206: $i,SV473: $i,SV28: $i] :
      ( ( ( hBOOL @ ( conf_P373316194t_char @ SV28 @ SV473 @ SV206 @ SV366 ) )
        = $false )
      | ( ( hBOOL @ ( conf_P373316194t_char @ SV28 @ SV601 @ SV206 @ SV366 ) )
        = $true )
      | ( ( hBOOL @ ( hext @ SV473 @ SV601 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2687]) ).

thf(2797,plain,
    ! [SV474: $i,SV367: $i,SV29: $i,SV602: $i,SV207: $i] :
      ( ( ( hBOOL @ ( widen_2090681816t_char @ SV207 @ SV602 @ SV29 ) )
        = $false )
      | ( ( hBOOL @ ( conf_P373316194t_char @ SV207 @ SV367 @ SV474 @ SV29 ) )
        = $true )
      | ( ( hBOOL @ ( conf_P373316194t_char @ SV207 @ SV367 @ SV474 @ SV602 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2688]) ).

thf(2798,plain,
    ! [SV216: $i,SV38: $i,SV831: $i,SV700: $i,SV606: $i,SV483: $i,SV376: $i] :
      ( ( ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SV606 @ SV700 @ SV831 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SV606 @ SV38 @ SV216 ) )
          | ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SV606 @ ( seq_list_char @ SV700 @ SV38 ) @ SV216 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2691]) ).

thf(2799,plain,
    ! [SV701: $i,SV607: $i,SV484: $i,SV218: $i,SV41: $i,SV378: $i] :
      ( ( ( ~ ( hBOOL @ ( hext @ SV378 @ SV41 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV218 @ SV41 @ SV484 @ SV607 @ SV701 ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV218 @ SV378 @ SV484 @ SV607 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2692]) ).

thf(2800,plain,
    ! [SV45: $i,SV832: $i,SV774: $i,SV704: $i,SV610: $i,SV487: $i,SV381: $i,SV222: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV222 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV381 ) @ SV487 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV610 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV704 ) @ SV774 ) ) ) @ ( transi2024712006on_val @ ( red @ SV832 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV222 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV381 ) @ ( map_ad325961431ar_val @ SV45 @ SV487 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV610 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV704 ) @ ( map_ad325961431ar_val @ SV45 @ SV774 ) ) ) ) @ ( transi2024712006on_val @ ( red @ SV832 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2695]) ).

thf(2801,plain,
    ! [SV382: $i,SV223: $i,SV46: $i,SV833: $i,SV775: $i,SV705: $i,SV611: $i,SV488: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV488 ) @ SV611 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV705 ) @ SV775 ) ) @ ( red @ SV833 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV488 @ SV46 @ SV223 @ SV382 ) ) @ SV611 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV705 @ SV46 @ SV223 @ SV382 ) ) @ SV775 ) ) @ ( red @ SV833 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2696]) ).

thf(2802,plain,
    ! [SV383: $i,SV224: $i,SV47: $i,SV834: $i,SV776: $i,SV706: $i,SV612: $i,SV489: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV489 ) @ SV612 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV706 ) @ SV776 ) ) @ ( red @ SV834 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV47 ) @ SV224 @ SV383 @ SV489 ) ) @ SV612 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV47 ) @ SV224 @ SV383 @ SV706 ) ) @ SV776 ) ) @ ( red @ SV834 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2697]) ).

thf(2803,plain,
    ! [SV384: $i,SV225: $i,SV48: $i,SV835: $i,SV777: $i,SV707: $i,SV613: $i,SV490: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV490 ) @ SV613 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV707 ) @ SV777 ) ) @ ( transi2024712006on_val @ ( red @ SV835 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV490 @ SV48 @ SV225 @ SV384 ) ) @ SV613 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV707 @ SV48 @ SV225 @ SV384 ) ) @ SV777 ) ) @ ( transi2024712006on_val @ ( red @ SV835 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2698]) ).

thf(2804,plain,
    ! [SV226: $i,SV49: $i,SV778: $i,SV708: $i,SV614: $i,SV491: $i,SV385: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV385 ) @ SV491 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV614 ) @ SV708 ) ) @ ( red @ SV778 ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV385 @ SV49 @ SV226 ) ) @ SV491 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV614 @ SV49 @ SV226 ) ) @ SV708 ) ) @ ( red @ SV778 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2699]) ).

thf(2805,plain,
    ! [SV227: $i,SV50: $i,SV779: $i,SV709: $i,SV615: $i,SV492: $i,SV386: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV386 ) @ SV492 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV615 ) @ SV709 ) ) @ ( transi2024712006on_val @ ( red @ SV779 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV386 @ SV50 @ SV227 ) ) @ SV492 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV615 @ SV50 @ SV227 ) ) @ SV709 ) ) @ ( transi2024712006on_val @ ( red @ SV779 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2700]) ).

thf(2806,plain,
    ! [SV395: $i,SV236: $i,SV59: $i,SV836: $i,SV780: $i,SV711: $i,SV621: $i,SV500: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV500 ) @ SV621 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV711 ) @ SV780 ) ) @ ( red @ SV836 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV500 @ SV59 @ SV236 @ SV395 ) ) @ SV621 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV711 @ SV59 @ SV236 @ SV395 ) ) @ SV780 ) ) @ ( red @ SV836 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2701]) ).

thf(2807,plain,
    ! [SV397: $i,SV238: $i,SV61: $i,SV837: $i,SV781: $i,SV713: $i,SV623: $i,SV502: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV502 ) @ SV623 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV713 ) @ SV781 ) ) @ ( transi2024712006on_val @ ( red @ SV837 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV502 @ SV61 @ SV238 @ SV397 ) ) @ SV623 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV713 @ SV61 @ SV238 @ SV397 ) ) @ SV781 ) ) @ ( transi2024712006on_val @ ( red @ SV837 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2702]) ).

thf(2808,plain,
    ! [SV242: $i,SV65: $i,SV782: $i,SV716: $i,SV626: $i,SV506: $i,SV401: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV401 ) @ SV506 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV626 ) @ SV716 ) ) @ ( red @ SV782 ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV401 @ SV65 @ SV242 ) ) @ SV506 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV626 @ SV65 @ SV242 ) ) @ SV716 ) ) @ ( red @ SV782 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2705]) ).

thf(2809,plain,
    ! [SV243: $i,SV66: $i,SV783: $i,SV717: $i,SV627: $i,SV507: $i,SV402: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV402 ) @ SV507 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV627 ) @ SV717 ) ) @ ( red @ SV783 ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV66 ) @ SV243 @ SV402 ) ) @ SV507 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV66 ) @ SV243 @ SV627 ) ) @ SV717 ) ) @ ( red @ SV783 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2706]) ).

thf(2810,plain,
    ! [SV245: $i,SV68: $i,SV784: $i,SV718: $i,SV629: $i,SV509: $i,SV404: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV404 ) @ SV509 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV629 ) @ SV718 ) ) @ ( transi2024712006on_val @ ( red @ SV784 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV404 @ SV68 @ SV245 ) ) @ SV509 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV629 @ SV68 @ SV245 ) ) @ SV718 ) ) @ ( transi2024712006on_val @ ( red @ SV784 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2707]) ).

thf(2811,plain,
    ! [SV121: $i,SV296: $i,SV859: $i,SV838: $i,SV785: $i,SV720: $i,SV633: $i,SV520: $i,SV424: $i] :
      ( ( ! [SY2735: $i,SY2736: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV424 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ ( fun_up1149430426on_val @ SV633 @ SV720 @ ( hAPP_val_option_val @ some_val @ SV785 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV838 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV859 ) @ SY2735 ) ) ) @ ( red @ SY2736 ) ) )
            | ( ( hAPP_l207779698on_val @ SY2735 @ SV720 )
             != ( hAPP_val_option_val @ some_val @ SV296 ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV720 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SV720 @ ( val_list_char @ SV785 ) ) @ SV424 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ SV633 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV720 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SV720 @ ( val_list_char @ SV296 ) ) @ SV838 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV859 ) @ ( fun_up1149430426on_val @ SY2735 @ SV720 @ ( hAPP_l207779698on_val @ SV633 @ SV720 ) ) ) ) ) @ ( red @ SY2736 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2708]) ).

thf(2812,plain,
    ! [SV137: $i,SV786: $i,SV721: $i,SV639: $i,SV530: $i,SV438: $i,SV312: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV312 ) @ SV438 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV530 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV639 ) @ SV721 ) ) ) @ ( transi2024712006on_val @ ( red @ SV786 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV137 @ SV312 ) ) @ SV438 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV639 ) @ ( fun_up1149430426on_val @ SV721 @ SV137 @ ( hAPP_val_option_val @ some_val @ SV530 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SV786 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2709]) ).

thf(2813,plain,
    ! [SV439: $i,SV313: $i,SV138: $i,SV839: $i,SV787: $i,SV722: $i,SV640: $i,SV531: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV531 ) @ SV640 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV722 ) ) @ SV787 ) ) @ ( transi2024712006on_val @ ( red @ SV839 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV138 ) @ SV787 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV439 ) ) @ ( transi2024712006on_val @ ( red @ SV839 ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV531 @ SV138 ) ) @ SV640 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV439 ) ) @ ( transi2024712006on_val @ ( red @ SV839 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2710]) ).

thf(2814,plain,
    ! [SV139: $i,SV860: $i,SV840: $i,SV788: $i,SV723: $i,SV641: $i,SV532: $i,SV440: $i,SV314: $i] :
      ( ( ! [SY2737: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV314 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV440 ) @ ( fun_up1149430426on_val @ SV532 @ SV641 @ ( hAPP_val_option_val @ some_val @ SV723 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV788 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV840 ) @ SV860 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2737 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV641 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SV641 @ ( val_list_char @ SV723 ) ) @ SV314 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV440 ) @ SV532 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV641 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SV641 @ ( val_list_char @ ( the_val @ ( hAPP_l207779698on_val @ SV860 @ SV641 ) ) ) ) @ SV788 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV840 ) @ ( fun_up1149430426on_val @ SV860 @ SV641 @ ( hAPP_l207779698on_val @ SV532 @ SV641 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2737 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2711]) ).

thf(2815,plain,
    ! [SV140: $i,SV861: $i,SV841: $i,SV789: $i,SV724: $i,SV642: $i,SV533: $i,SV441: $i,SV315: $i] :
      ( ( ! [SY2738: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV315 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ ( fun_up1149430426on_val @ SV533 @ SV642 @ ( hAPP_val_option_val @ some_val @ SV724 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV789 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV841 ) @ SV861 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2738 ) ) ) )
            | ~ ( hBOOL @ ( final_list_char @ SV789 ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV642 @ SV140 @ ( seq_list_char @ ( lAss_list_char @ SV642 @ ( val_list_char @ SV724 ) ) @ SV315 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ SV533 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV789 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV841 ) @ ( fun_up1149430426on_val @ SV861 @ SV642 @ ( hAPP_l207779698on_val @ SV533 @ SV642 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2738 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2712]) ).

thf(2816,plain,
    ! [SV442: $i,SV316: $i,SV142: $i,SV842: $i,SV790: $i,SV725: $i,SV643: $i,SV534: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV534 ) @ SV643 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV725 ) @ SV790 ) ) @ ( transi2024712006on_val @ ( red @ SV842 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV142 ) @ SV316 @ SV442 @ SV534 ) ) @ SV643 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV142 ) @ SV316 @ SV442 @ SV725 ) ) @ SV790 ) ) @ ( transi2024712006on_val @ ( red @ SV842 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2713]) ).

thf(2817,plain,
    ! [SV447: $i,SV321: $i,SV147: $i,SV843: $i,SV791: $i,SV730: $i,SV648: $i,SV539: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV539 ) @ SV648 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV730 ) ) @ SV791 ) ) @ ( transi2024712006on_val @ ( red @ SV843 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV539 @ SV147 @ SV321 @ SV447 ) ) @ SV648 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV730 ) ) @ SV791 ) ) @ ( transi2024712006on_val @ ( red @ SV843 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2716]) ).

thf(2818,plain,
    ! [SV322: $i,SV148: $i,SV792: $i,SV731: $i,SV649: $i,SV540: $i,SV448: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV448 ) @ SV540 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV649 ) ) @ SV731 ) ) @ ( transi2024712006on_val @ ( red @ SV792 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV448 @ SV148 @ SV322 ) ) @ SV540 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV649 ) ) @ SV731 ) ) @ ( transi2024712006on_val @ ( red @ SV792 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2717]) ).

thf(2819,plain,
    ! [SV323: $i,SV149: $i,SV650: $i,SV541: $i,SV449: $i,SV862: $i,SV844: $i,SV793: $i,SV732: $i] :
      ( ( ! [SY2739: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV732 ) @ SV793 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV844 ) ) @ SV862 ) ) @ ( transi2024712006on_val @ ( red @ SY2739 ) ) ) )
            | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV449 ) @ SV862 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SV650 ) ) @ ( transi2024712006on_val @ ( red @ SY2739 ) ) ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV732 @ SV149 @ SV323 @ SV449 ) ) @ SV793 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SV650 ) ) @ ( transi2024712006on_val @ ( red @ SY2739 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2718]) ).

thf(2820,plain,
    ! [SV451: $i,SV325: $i,SV151: $i,SV845: $i,SV794: $i,SV733: $i,SV652: $i,SV543: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV543 ) @ SV652 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV733 ) ) @ SV794 ) ) @ ( transi2024712006on_val @ ( red @ SV845 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV543 @ SV151 @ SV325 @ SV451 ) ) @ SV652 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV733 ) ) @ SV794 ) ) @ ( transi2024712006on_val @ ( red @ SV845 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2719]) ).

thf(2821,plain,
    ! [SV454: $i,SV328: $i,SV154: $i,SV795: $i,SV735: $i,SV655: $i,SV546: $i] :
      ( ( ( hBOOL @ ( wTrt @ SV546 @ SV655 @ SV735 @ SV795 @ nt ) )
        = $false )
      | ( ( hBOOL @ ( wTrt @ SV546 @ SV655 @ SV735 @ ( fAcc_list_char @ SV795 @ SV154 @ SV328 ) @ SV454 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2721]) ).

thf(2822,plain,
    ! [SV156: $i,SV656: $i,SV547: $i,SV456: $i,SV330: $i,SV736: $i] :
      ( ( ( ~ ( hBOOL @ ( is_refT @ SV736 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV330 @ SV456 @ SV547 @ ( throw_list_char @ SV656 ) @ SV156 ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV330 @ SV456 @ SV547 @ SV656 @ SV736 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2722]) ).

thf(2823,plain,
    ! [SV157: $i,SV548: $i,SV457: $i,SV331: $i,SV863: $i,SV846: $i,SV796: $i,SV737: $i,SV657: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV657 ) @ SV737 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV796 ) ) @ SV846 ) ) @ ( transi2024712006on_val @ ( red @ SV863 ) ) ) )
        | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV331 ) @ SV846 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SV548 ) ) @ ( transi2024712006on_val @ ( red @ SV863 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV657 @ SV157 @ SV331 ) ) @ SV737 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SV548 ) ) @ ( transi2024712006on_val @ ( red @ SV863 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2723]) ).

thf(2824,plain,
    ! [SV333: $i,SV159: $i,SV797: $i,SV738: $i,SV659: $i,SV550: $i,SV459: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV459 ) @ SV550 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV659 ) @ SV738 ) ) @ ( transi2024712006on_val @ ( red @ SV797 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV159 ) @ SV333 @ SV459 ) ) @ SV550 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( val_list_char @ SV159 ) @ SV333 @ SV659 ) ) @ SV738 ) ) @ ( transi2024712006on_val @ ( red @ SV797 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2724]) ).

thf(2825,plain,
    ! [SV334: $i,SV160: $i,SV798: $i,SV739: $i,SV660: $i,SV551: $i,SV460: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV460 ) @ SV551 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV660 ) ) @ SV739 ) ) @ ( transi2024712006on_val @ ( red @ SV798 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV460 @ SV160 @ SV334 ) ) @ SV551 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV660 ) ) @ SV739 ) ) @ ( transi2024712006on_val @ ( red @ SV798 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2725]) ).

thf(2826,plain,
    ! [SV560: $i,SV669: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV669 ) )
          | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV560 ) ) )
        = $true )
      | ( ( SV669 = SV560 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2729]) ).

thf(2827,plain,
    ! [SV560: $i,SV669: $i] :
      ( ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV669 ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV560 ) ) )
        = $true )
      | ( ( SV669 = SV560 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2730]) ).

thf(2828,plain,
    ! [SV561: $i,SV670: $i] :
      ( ( ( ~ ! [SY2596: $i,SY2597: $i] :
                ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2596 ) @ SY2597 ) @ SV670 ) )
                | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2596 ) @ SY2597 ) @ SV561 ) ) ) )
        = $false )
      | ( ( SV670 = SV561 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2731]) ).

thf(2829,plain,
    ! [SV670: $i,SV561: $i] :
      ( ( ( ~ ! [SY2598: $i,SY2599: $i] :
                ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2598 ) @ SY2599 ) @ SV561 ) )
                | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2598 ) @ SY2599 ) @ SV670 ) ) ) )
        = $false )
      | ( ( SV670 = SV561 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2731]) ).

thf(2830,plain,
    ! [SV744: $i,SV562: $i,SV461: $i,SV337: $i,SV169: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt @ SV169 @ SV337 @ SV461 @ SV562 @ ( sK1_T_r @ SV562 @ SV461 @ SV337 @ SV169 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( wTrt @ SV169 @ SV337 @ SV461 @ ( throw_list_char @ SV562 ) @ SV744 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2732]) ).

thf(2831,plain,
    ! [SV744: $i,SV169: $i,SV337: $i,SV461: $i,SV562: $i] :
      ( ( ( ~ ( hBOOL @ ( is_refT @ ( sK1_T_r @ SV562 @ SV461 @ SV337 @ SV169 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( wTrt @ SV169 @ SV337 @ SV461 @ ( throw_list_char @ SV562 ) @ SV744 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2732]) ).

thf(2832,plain,
    ! [SV847: $i,SV800: $i,SV563: $i,SV671: $i] :
      ( ( ( SV671
          = ( seq_list_char @ ( lAss_list_char @ SV563 @ ( val_list_char @ SV800 ) ) @ SV847 ) )
        = $false )
      | ( ( hBOOL @ ( assigned @ SV563 @ SV671 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2733]) ).

thf(2833,plain,
    ! [SV848: $i,SV801: $i] :
      ( ( ( ~ ( hBOOL @ SV801 )
          | ~ ( hBOOL @ SV848 ) )
        = $true )
      | ( ( ( bool @ SV801 )
          = ( bool @ SV848 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2734]) ).

thf(2834,plain,
    ! [SV849: $i,SV802: $i] :
      ( ( ( ( hBOOL @ SV802 )
          | ( hBOOL @ SV849 ) )
        = $true )
      | ( ( ( bool @ SV802 )
          = ( bool @ SV849 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2735]) ).

thf(2835,plain,
    ! [SV850: $i,SV803: $i] :
      ( ( ( ( ( bool @ SV803 )
           != ( bool @ SV850 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ SV803 )
          | ( hBOOL @ SV850 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2736]) ).

thf(2836,plain,
    ! [SV851: $i,SV804: $i] :
      ( ( ( ( ( bool @ SV804 )
           != ( bool @ SV851 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ SV851 )
          | ( hBOOL @ SV804 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2737]) ).

thf(2837,plain,
    ! [SV338: $i,SV170: $i,SV805: $i,SV745: $i] :
      ( ( ( SV745 = SV805 )
        = $false )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV170 @ SV805 @ SV338 ) @ SV745 )
          = SV338 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2738]) ).

thf(2838,plain,
    ! [SV171: $i,SV339: $i] :
      ( ( ( hBOOL @ ( wTrt @ p @ h_a @ SV339 @ e_a @ ( sK6_T_3 @ SV339 @ SV171 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ p @ ha @ SV339 @ ea @ SV171 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa807100911_sconf @ p @ SV339 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2740]) ).

thf(2839,plain,
    ! [SV171: $i,SV339: $i] :
      ( ( ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK6_T_3 @ SV339 @ SV171 ) @ SV171 ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ p @ ha @ SV339 @ ea @ SV171 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa807100911_sconf @ p @ SV339 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2741]) ).

thf(2840,plain,
    ! [SV853: $i,SV747: $i,SV340: $i,SV172: $i] :
      ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV172 ) @ SV340 )
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV747 ) @ SV853 ) )
        = $false )
      | ( ( SV172 = SV747 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2743]) ).

thf(2841,plain,
    ! [SV809: $i,SV748: $i,SV340: $i,SV172: $i] :
      ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV172 ) @ SV340 )
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV748 ) @ SV809 ) )
        = $false )
      | ( ( SV340 = SV809 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2744]) ).

thf(2842,plain,
    ! [SV810: $i,SV341: $i,SV749: $i,SV173: $i] :
      ( ( ( ( SV173 != SV749 ) )
        = $true )
      | ( ( ( SV341 != SV810 ) )
        = $true )
      | ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV749 ) @ SV810 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2745]) ).

thf(2843,plain,
    ! [SV864: $i,SV341: $i,SV173: $i] :
      ( ( ! [SY2740: $i] :
            ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
           != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV864 ) @ SY2740 ) )
        | ( SV173 = SV864 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2746]) ).

thf(2844,plain,
    ! [SV865: $i,SV341: $i,SV173: $i] :
      ( ( ! [SY2741: $i] :
            ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV865 ) @ SY2741 ) )
            | ( SV341 = SY2741 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2747]) ).

thf(2845,plain,
    ! [SV342: $i,SV174: $i,SV750: $i,SV811: $i] :
      ( ( ( SV811 = SV750 )
        = $false )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV174 @ SV750 @ SV342 ) @ SV811 )
          = SV342 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2748]) ).

thf(2846,plain,
    ! [SV854: $i,SV752: $i,SV343: $i,SV175: $i] :
      ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV175 ) @ SV343 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV752 ) @ SV854 ) )
        = $false )
      | ( ( SV175 = SV752 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2750]) ).

thf(2847,plain,
    ! [SV813: $i,SV753: $i,SV343: $i,SV175: $i] :
      ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV175 ) @ SV343 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV753 ) @ SV813 ) )
        = $false )
      | ( ( SV343 = SV813 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2751]) ).

thf(2848,plain,
    ! [SV866: $i,SV462: $i,SV855: $i,SV344: $i,SV573: $i,SV176: $i] :
      ( ( ( SV176 != SV573 )
        | ( SV344 != SV855 )
        | ( SV462 != SV866 )
        | ( ( block_list_char @ SV176 @ SV344 @ SV462 )
          = ( block_list_char @ SV573 @ SV855 @ SV866 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2752]) ).

thf(2849,plain,
    ! [SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ~ ~ ( ~ ( ! [SY2456: $i,SY2457: $i] :
                      ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                     != ( block_list_char @ SV573 @ SY2456 @ SY2457 ) )
                  | ( SV176 = SV573 ) )
              | ~ ! [SY2458: $i] :
                    ( ! [SY2459: $i] :
                        ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                       != ( block_list_char @ SV573 @ SY2458 @ SY2459 ) )
                    | ( SV344 = SY2458 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2753]) ).

thf(2850,plain,
    ! [SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ~ ! [SY2460: $i,SY2461: $i] :
              ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
               != ( block_list_char @ SV573 @ SY2460 @ SY2461 ) )
              | ( SV462 = SY2461 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2753]) ).

thf(2851,plain,
    ! [SV814: $i,SV345: $i,SV754: $i,SV177: $i] :
      ( ( ( ( SV177 != SV754 ) )
        = $true )
      | ( ( ( SV345 != SV814 ) )
        = $true )
      | ( ( ( seq_list_char @ SV177 @ SV345 )
          = ( seq_list_char @ SV754 @ SV814 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2754]) ).

thf(2852,plain,
    ! [SV867: $i,SV345: $i,SV177: $i] :
      ( ( ! [SY2742: $i] :
            ( ( seq_list_char @ SV177 @ SV345 )
           != ( seq_list_char @ SV867 @ SY2742 ) )
        | ( SV177 = SV867 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2755]) ).

thf(2853,plain,
    ! [SV868: $i,SV345: $i,SV177: $i] :
      ( ( ! [SY2743: $i] :
            ( ( ( seq_list_char @ SV177 @ SV345 )
             != ( seq_list_char @ SV868 @ SY2743 ) )
            | ( SV345 = SY2743 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2756]) ).

thf(2854,plain,
    ! [SV578: $i,SV681: $i] :
      ( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV681 ) )
          | ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV578 ) ) )
        = $true )
      | ( ( SV681 = SV578 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2758]) ).

thf(2855,plain,
    ! [SV578: $i,SV681: $i] :
      ( ( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV681 ) )
          | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV578 ) ) )
        = $true )
      | ( ( SV681 = SV578 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2759]) ).

thf(2856,plain,
    ! [SV579: $i,SV682: $i] :
      ( ( ( ~ ! [SY2602: $i,SY2603: $i] :
                ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2602 ) @ SY2603 ) @ SV682 ) )
                | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2602 ) @ SY2603 ) @ SV579 ) ) ) )
        = $false )
      | ( ( SV682 = SV579 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2760]) ).

thf(2857,plain,
    ! [SV682: $i,SV579: $i] :
      ( ( ( ~ ! [SY2604: $i,SY2605: $i] :
                ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2604 ) @ SY2605 ) @ SV579 ) )
                | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2604 ) @ SY2605 ) @ SV682 ) ) ) )
        = $false )
      | ( ( SV682 = SV579 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2760]) ).

thf(2858,plain,
    ! [SV463: $i,SV346: $i,SV178: $i] :
      ( ( ~ ( ~ ! [SY2238: $i] :
                  ( ! [SY2239: $i] :
                      ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2238 )
                     != ( hAPP_val_option_val @ some_val @ SY2239 ) )
                  | ( SY2238 = SV346 )
                  | ( SY2238 != SV346 ) )
            | ~ ! [SY2240: $i,SY2241: $i] :
                  ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2240 )
                   != ( hAPP_val_option_val @ some_val @ SY2241 ) )
                  | ( SY2240 = SV346 )
                  | ( ( hAPP_P2094403585on_val @ SV178 @ SY2240 )
                    = ( hAPP_val_option_val @ some_val @ SY2241 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2762]) ).

thf(2859,plain,
    ! [SV463: $i,SV346: $i,SV178: $i] :
      ( ( ~ ( ~ ! [SY2242: $i,SY2243: $i] :
                  ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2242 )
                   != ( hAPP_val_option_val @ some_val @ SY2243 ) )
                  | ( SV463 = SY2243 )
                  | ( SY2242 != SV346 ) )
            | ~ ! [SY2244: $i,SY2245: $i] :
                  ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2244 )
                   != ( hAPP_val_option_val @ some_val @ SY2245 ) )
                  | ( SV463 = SY2245 )
                  | ( ( hAPP_P2094403585on_val @ SV178 @ SY2244 )
                    = ( hAPP_val_option_val @ some_val @ SY2245 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2763]) ).

thf(2860,plain,
    ! [SV178: $i,SV463: $i,SV346: $i] :
      ( ( ! [SY2246: $i,SY2247: $i] :
            ( ( SY2246 != SV346 )
            | ( SV463 != SY2247 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2246 )
              = ( hAPP_val_option_val @ some_val @ SY2247 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2764]) ).

thf(2861,plain,
    ! [SV463: $i,SV178: $i,SV346: $i] :
      ( ( ! [SY2248: $i,SY2249: $i] :
            ( ( SY2248 = SV346 )
            | ( ( hAPP_P2094403585on_val @ SV178 @ SY2248 )
             != ( hAPP_val_option_val @ some_val @ SY2249 ) )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2248 )
              = ( hAPP_val_option_val @ some_val @ SY2249 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2765]) ).

thf(2862,plain,
    ! [SV818: $i,SV347: $i,SV757: $i,SV179: $i] :
      ( ( ( ( SV179 != SV757 ) )
        = $true )
      | ( ( ( SV347 != SV818 ) )
        = $true )
      | ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV757 ) @ SV818 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2766]) ).

thf(2863,plain,
    ! [SV869: $i,SV347: $i,SV179: $i] :
      ( ( ! [SY2744: $i] :
            ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
           != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV869 ) @ SY2744 ) )
        | ( SV179 = SV869 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2767]) ).

thf(2864,plain,
    ! [SV870: $i,SV347: $i,SV179: $i] :
      ( ( ! [SY2745: $i] :
            ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
             != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV870 ) @ SY2745 ) )
            | ( SV347 = SY2745 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2768]) ).

thf(2865,plain,
    ! [SV348: $i,SV180: $i,SV822: $i,SV760: $i] :
      ( ( ( SV760 = SV822 )
        = $false )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV180 @ SV822 @ SV348 ) @ SV760 )
          = SV348 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2771]) ).

thf(2866,plain,
    ! [SV858: $i,SV764: $i,SV349: $i,SV182: $i] :
      ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV182 ) @ SV349 )
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV764 ) @ SV858 ) )
        = $false )
      | ( ( SV182 = SV764 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2775]) ).

thf(2867,plain,
    ! [SV824: $i,SV765: $i,SV349: $i,SV182: $i] :
      ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV182 ) @ SV349 )
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV765 ) @ SV824 ) )
        = $false )
      | ( ( SV349 = SV824 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2776]) ).

thf(2868,plain,
    ! [SV590: $i,SV689: $i] :
      ( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV689 ) )
          | ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV590 ) ) )
        = $true )
      | ( ( SV689 = SV590 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2777]) ).

thf(2869,plain,
    ! [SV590: $i,SV689: $i] :
      ( ( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV689 ) )
          | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV590 ) ) )
        = $true )
      | ( ( SV689 = SV590 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2778]) ).

thf(2870,plain,
    ! [SV591: $i,SV690: $i] :
      ( ( ( ~ ! [SY2608: $i,SY2609: $i] :
                ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2608 ) @ SY2609 ) @ SV690 ) )
                | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2608 ) @ SY2609 ) @ SV591 ) ) ) )
        = $false )
      | ( ( SV690 = SV591 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2779]) ).

thf(2871,plain,
    ! [SV690: $i,SV591: $i] :
      ( ( ( ~ ! [SY2610: $i,SY2611: $i] :
                ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2610 ) @ SY2611 ) @ SV591 ) )
                | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2610 ) @ SY2611 ) @ SV690 ) ) ) )
        = $false )
      | ( ( SV690 = SV591 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2779]) ).

thf(2872,plain,
    ! [SV825: $i,SV350: $i,SV766: $i,SV183: $i] :
      ( ( ( ( SV183 != SV766 ) )
        = $true )
      | ( ( ( SV350 != SV825 ) )
        = $true )
      | ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV766 ) @ SV825 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2780]) ).

thf(2873,plain,
    ! [SV871: $i,SV350: $i,SV183: $i] :
      ( ( ! [SY2746: $i] :
            ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
           != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV871 ) @ SY2746 ) )
        | ( SV183 = SV871 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2781]) ).

thf(2874,plain,
    ! [SV872: $i,SV350: $i,SV183: $i] :
      ( ( ! [SY2747: $i] :
            ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
             != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV872 ) @ SY2747 ) )
            | ( SV350 = SY2747 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2782]) ).

thf(2875,plain,
    ! [SV351: $i,SV185: $i,SV769: $i,SV826: $i] :
      ( ( ( SV826 = SV769 )
        = $false )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV185 @ SV769 @ SV351 ) @ SV826 )
          = SV351 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2785]) ).

thf(2876,plain,
    ! [SV828: $i,SV352: $i,SV771: $i,SV186: $i] :
      ( ( ( ( SV186 != SV771 ) )
        = $true )
      | ( ( ( SV352 != SV828 ) )
        = $true )
      | ( ( ( lAss_list_char @ SV186 @ SV352 )
          = ( lAss_list_char @ SV771 @ SV828 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2787]) ).

thf(2877,plain,
    ! [SV873: $i,SV352: $i,SV186: $i] :
      ( ( ! [SY2748: $i] :
            ( ( lAss_list_char @ SV186 @ SV352 )
           != ( lAss_list_char @ SV873 @ SY2748 ) )
        | ( SV186 = SV873 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2788]) ).

thf(2878,plain,
    ! [SV874: $i,SV352: $i,SV186: $i] :
      ( ( ! [SY2749: $i] :
            ( ( ( lAss_list_char @ SV186 @ SV352 )
             != ( lAss_list_char @ SV874 @ SY2749 ) )
            | ( SV352 = SY2749 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2789]) ).

thf(2879,plain,
    ! [SV464: $i,SV353: $i,SV187: $i] :
      ( ( ~ ( ~ ! [SY2250: $i] :
                  ( ! [SY2251: $i] :
                      ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2250 )
                     != ( hAPP_val_option_val @ some_val @ SY2251 ) )
                  | ( SY2250 = SV353 )
                  | ( SY2250 != SV353 ) )
            | ~ ! [SY2252: $i,SY2253: $i] :
                  ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2252 )
                   != ( hAPP_val_option_val @ some_val @ SY2253 ) )
                  | ( SY2252 = SV353 )
                  | ( ( hAPP_l207779698on_val @ SV187 @ SY2252 )
                    = ( hAPP_val_option_val @ some_val @ SY2253 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2790]) ).

thf(2880,plain,
    ! [SV464: $i,SV353: $i,SV187: $i] :
      ( ( ~ ( ~ ! [SY2254: $i,SY2255: $i] :
                  ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2254 )
                   != ( hAPP_val_option_val @ some_val @ SY2255 ) )
                  | ( SV464 = SY2255 )
                  | ( SY2254 != SV353 ) )
            | ~ ! [SY2256: $i,SY2257: $i] :
                  ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2256 )
                   != ( hAPP_val_option_val @ some_val @ SY2257 ) )
                  | ( SV464 = SY2257 )
                  | ( ( hAPP_l207779698on_val @ SV187 @ SY2256 )
                    = ( hAPP_val_option_val @ some_val @ SY2257 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2791]) ).

thf(2881,plain,
    ! [SV187: $i,SV464: $i,SV353: $i] :
      ( ( ! [SY2258: $i,SY2259: $i] :
            ( ( SY2258 != SV353 )
            | ( SV464 != SY2259 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2258 )
              = ( hAPP_val_option_val @ some_val @ SY2259 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2792]) ).

thf(2882,plain,
    ! [SV464: $i,SV187: $i,SV353: $i] :
      ( ( ! [SY2260: $i,SY2261: $i] :
            ( ( SY2260 = SV353 )
            | ( ( hAPP_l207779698on_val @ SV187 @ SY2260 )
             != ( hAPP_val_option_val @ some_val @ SY2261 ) )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2260 )
              = ( hAPP_val_option_val @ some_val @ SY2261 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2793]) ).

thf(2883,plain,
    ! [SV27: $i,SV830: $i,SV773: $i,SV697: $i,SV600: $i,SV472: $i,SV365: $i,SV205: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV205 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV365 ) @ SV472 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV600 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV697 ) @ SV773 ) ) ) @ ( red @ SV830 ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV205 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV365 ) @ ( map_ad325961431ar_val @ SV27 @ SV472 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV600 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV697 ) @ ( map_ad325961431ar_val @ SV27 @ SV773 ) ) ) ) @ ( red @ SV830 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2795]) ).

thf(2884,plain,
    ! [SV831: $i,SV700: $i,SV216: $i,SV38: $i,SV606: $i,SV483: $i,SV376: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SV606 @ SV38 @ SV216 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SV606 @ ( seq_list_char @ SV700 @ SV38 ) @ SV216 ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SV606 @ SV700 @ SV831 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2798]) ).

thf(2885,plain,
    ! [SV701: $i,SV607: $i,SV484: $i,SV218: $i,SV41: $i,SV378: $i] :
      ( ( ( hBOOL @ ( hext @ SV378 @ SV41 ) )
        = $false )
      | ( ( hBOOL @ ( wTrt @ SV218 @ SV41 @ SV484 @ SV607 @ SV701 ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV218 @ SV378 @ SV484 @ SV607 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2799]) ).

thf(2886,plain,
    ! [SV45: $i,SV832: $i,SV774: $i,SV704: $i,SV610: $i,SV487: $i,SV381: $i,SV222: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV222 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV381 ) @ SV487 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV610 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV704 ) @ SV774 ) ) ) @ ( transi2024712006on_val @ ( red @ SV832 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV222 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV381 ) @ ( map_ad325961431ar_val @ SV45 @ SV487 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV610 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV704 ) @ ( map_ad325961431ar_val @ SV45 @ SV774 ) ) ) ) @ ( transi2024712006on_val @ ( red @ SV832 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2800]) ).

thf(2887,plain,
    ! [SV382: $i,SV223: $i,SV46: $i,SV833: $i,SV775: $i,SV705: $i,SV611: $i,SV488: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV488 ) @ SV611 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV705 ) @ SV775 ) ) @ ( red @ SV833 ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV488 @ SV46 @ SV223 @ SV382 ) ) @ SV611 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV705 @ SV46 @ SV223 @ SV382 ) ) @ SV775 ) ) @ ( red @ SV833 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2801]) ).

thf(2888,plain,
    ! [SV383: $i,SV224: $i,SV47: $i,SV834: $i,SV776: $i,SV706: $i,SV612: $i,SV489: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV489 ) @ SV612 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV706 ) @ SV776 ) ) @ ( red @ SV834 ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV47 ) @ SV224 @ SV383 @ SV489 ) ) @ SV612 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV47 ) @ SV224 @ SV383 @ SV706 ) ) @ SV776 ) ) @ ( red @ SV834 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2802]) ).

thf(2889,plain,
    ! [SV384: $i,SV225: $i,SV48: $i,SV835: $i,SV777: $i,SV707: $i,SV613: $i,SV490: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV490 ) @ SV613 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV707 ) @ SV777 ) ) @ ( transi2024712006on_val @ ( red @ SV835 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV490 @ SV48 @ SV225 @ SV384 ) ) @ SV613 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV707 @ SV48 @ SV225 @ SV384 ) ) @ SV777 ) ) @ ( transi2024712006on_val @ ( red @ SV835 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2803]) ).

thf(2890,plain,
    ! [SV395: $i,SV236: $i,SV59: $i,SV836: $i,SV780: $i,SV711: $i,SV621: $i,SV500: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV500 ) @ SV621 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV711 ) @ SV780 ) ) @ ( red @ SV836 ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV500 @ SV59 @ SV236 @ SV395 ) ) @ SV621 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV711 @ SV59 @ SV236 @ SV395 ) ) @ SV780 ) ) @ ( red @ SV836 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2806]) ).

thf(2891,plain,
    ! [SV397: $i,SV238: $i,SV61: $i,SV837: $i,SV781: $i,SV713: $i,SV623: $i,SV502: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV502 ) @ SV623 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV713 ) @ SV781 ) ) @ ( transi2024712006on_val @ ( red @ SV837 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV502 @ SV61 @ SV238 @ SV397 ) ) @ SV623 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV713 @ SV61 @ SV238 @ SV397 ) ) @ SV781 ) ) @ ( transi2024712006on_val @ ( red @ SV837 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2807]) ).

thf(2892,plain,
    ! [SV121: $i,SV296: $i,SV875: $i,SV859: $i,SV838: $i,SV785: $i,SV720: $i,SV633: $i,SV520: $i,SV424: $i] :
      ( ( ! [SY2750: $i] :
            ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV424 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ ( fun_up1149430426on_val @ SV633 @ SV720 @ ( hAPP_val_option_val @ some_val @ SV785 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV838 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV859 ) @ SV875 ) ) ) @ ( red @ SY2750 ) ) )
            | ( ( hAPP_l207779698on_val @ SV875 @ SV720 )
             != ( hAPP_val_option_val @ some_val @ SV296 ) )
            | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV720 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SV720 @ ( val_list_char @ SV785 ) ) @ SV424 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ SV633 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV720 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SV720 @ ( val_list_char @ SV296 ) ) @ SV838 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV859 ) @ ( fun_up1149430426on_val @ SV875 @ SV720 @ ( hAPP_l207779698on_val @ SV633 @ SV720 ) ) ) ) ) @ ( red @ SY2750 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2811]) ).

thf(2893,plain,
    ! [SV439: $i,SV313: $i,SV138: $i,SV839: $i,SV787: $i,SV722: $i,SV640: $i,SV531: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV531 ) @ SV640 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV722 ) ) @ SV787 ) ) @ ( transi2024712006on_val @ ( red @ SV839 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV138 ) @ SV787 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV439 ) ) @ ( transi2024712006on_val @ ( red @ SV839 ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV531 @ SV138 ) ) @ SV640 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV439 ) ) @ ( transi2024712006on_val @ ( red @ SV839 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2813]) ).

thf(2894,plain,
    ! [SV139: $i,SV876: $i,SV860: $i,SV840: $i,SV788: $i,SV723: $i,SV641: $i,SV532: $i,SV440: $i,SV314: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV314 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV440 ) @ ( fun_up1149430426on_val @ SV532 @ SV641 @ ( hAPP_val_option_val @ some_val @ SV723 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV788 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV840 ) @ SV860 ) ) ) @ ( transi2024712006on_val @ ( red @ SV876 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV641 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SV641 @ ( val_list_char @ SV723 ) ) @ SV314 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV440 ) @ SV532 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV641 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SV641 @ ( val_list_char @ ( the_val @ ( hAPP_l207779698on_val @ SV860 @ SV641 ) ) ) ) @ SV788 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV840 ) @ ( fun_up1149430426on_val @ SV860 @ SV641 @ ( hAPP_l207779698on_val @ SV532 @ SV641 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SV876 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2814]) ).

thf(2895,plain,
    ! [SV140: $i,SV877: $i,SV861: $i,SV841: $i,SV789: $i,SV724: $i,SV642: $i,SV533: $i,SV441: $i,SV315: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV315 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ ( fun_up1149430426on_val @ SV533 @ SV642 @ ( hAPP_val_option_val @ some_val @ SV724 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV789 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV841 ) @ SV861 ) ) ) @ ( transi2024712006on_val @ ( red @ SV877 ) ) ) )
        | ~ ( hBOOL @ ( final_list_char @ SV789 ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV642 @ SV140 @ ( seq_list_char @ ( lAss_list_char @ SV642 @ ( val_list_char @ SV724 ) ) @ SV315 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ SV533 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV789 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV841 ) @ ( fun_up1149430426on_val @ SV861 @ SV642 @ ( hAPP_l207779698on_val @ SV533 @ SV642 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SV877 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2815]) ).

thf(2896,plain,
    ! [SV442: $i,SV316: $i,SV142: $i,SV842: $i,SV790: $i,SV725: $i,SV643: $i,SV534: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV534 ) @ SV643 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV725 ) @ SV790 ) ) @ ( transi2024712006on_val @ ( red @ SV842 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV142 ) @ SV316 @ SV442 @ SV534 ) ) @ SV643 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( val_list_char @ SV142 ) @ SV316 @ SV442 @ SV725 ) ) @ SV790 ) ) @ ( transi2024712006on_val @ ( red @ SV842 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2816]) ).

thf(2897,plain,
    ! [SV447: $i,SV321: $i,SV147: $i,SV843: $i,SV791: $i,SV730: $i,SV648: $i,SV539: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV539 ) @ SV648 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV730 ) ) @ SV791 ) ) @ ( transi2024712006on_val @ ( red @ SV843 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV539 @ SV147 @ SV321 @ SV447 ) ) @ SV648 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV730 ) ) @ SV791 ) ) @ ( transi2024712006on_val @ ( red @ SV843 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2817]) ).

thf(2898,plain,
    ! [SV323: $i,SV149: $i,SV650: $i,SV541: $i,SV449: $i,SV878: $i,SV862: $i,SV844: $i,SV793: $i,SV732: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV732 ) @ SV793 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV844 ) ) @ SV862 ) ) @ ( transi2024712006on_val @ ( red @ SV878 ) ) ) )
        | ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV449 ) @ SV862 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SV650 ) ) @ ( transi2024712006on_val @ ( red @ SV878 ) ) ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV732 @ SV149 @ SV323 @ SV449 ) ) @ SV793 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SV650 ) ) @ ( transi2024712006on_val @ ( red @ SV878 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2819]) ).

thf(2899,plain,
    ! [SV451: $i,SV325: $i,SV151: $i,SV845: $i,SV794: $i,SV733: $i,SV652: $i,SV543: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV543 ) @ SV652 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV733 ) ) @ SV794 ) ) @ ( transi2024712006on_val @ ( red @ SV845 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV543 @ SV151 @ SV325 @ SV451 ) ) @ SV652 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV733 ) ) @ SV794 ) ) @ ( transi2024712006on_val @ ( red @ SV845 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2820]) ).

thf(2900,plain,
    ! [SV156: $i,SV656: $i,SV547: $i,SV456: $i,SV330: $i,SV736: $i] :
      ( ( ( hBOOL @ ( is_refT @ SV736 ) )
        = $false )
      | ( ( hBOOL @ ( wTrt @ SV330 @ SV456 @ SV547 @ ( throw_list_char @ SV656 ) @ SV156 ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV330 @ SV456 @ SV547 @ SV656 @ SV736 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2822]) ).

thf(2901,plain,
    ! [SV157: $i,SV548: $i,SV457: $i,SV331: $i,SV863: $i,SV846: $i,SV796: $i,SV737: $i,SV657: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV657 ) @ SV737 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV796 ) ) @ SV846 ) ) @ ( transi2024712006on_val @ ( red @ SV863 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV331 ) @ SV846 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SV548 ) ) @ ( transi2024712006on_val @ ( red @ SV863 ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV657 @ SV157 @ SV331 ) ) @ SV737 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SV548 ) ) @ ( transi2024712006on_val @ ( red @ SV863 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2823]) ).

thf(2902,plain,
    ! [SV560: $i,SV669: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV669 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV560 ) ) )
        = $true )
      | ( ( SV669 = SV560 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2826]) ).

thf(2903,plain,
    ! [SV560: $i,SV669: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV669 ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV560 ) )
        = $true )
      | ( ( SV669 = SV560 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2827]) ).

thf(2904,plain,
    ! [SV561: $i,SV670: $i] :
      ( ( ( ! [SY2596: $i,SY2597: $i] :
              ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2596 ) @ SY2597 ) @ SV670 ) )
              | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2596 ) @ SY2597 ) @ SV561 ) ) ) )
        = $true )
      | ( ( SV670 = SV561 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2828]) ).

thf(2905,plain,
    ! [SV670: $i,SV561: $i] :
      ( ( ( ! [SY2598: $i,SY2599: $i] :
              ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2598 ) @ SY2599 ) @ SV561 ) )
              | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2598 ) @ SY2599 ) @ SV670 ) ) ) )
        = $true )
      | ( ( SV670 = SV561 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2829]) ).

thf(2906,plain,
    ! [SV744: $i,SV562: $i,SV461: $i,SV337: $i,SV169: $i] :
      ( ( ( hBOOL @ ( wTrt @ SV169 @ SV337 @ SV461 @ SV562 @ ( sK1_T_r @ SV562 @ SV461 @ SV337 @ SV169 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV169 @ SV337 @ SV461 @ ( throw_list_char @ SV562 ) @ SV744 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2830]) ).

thf(2907,plain,
    ! [SV744: $i,SV169: $i,SV337: $i,SV461: $i,SV562: $i] :
      ( ( ( hBOOL @ ( is_refT @ ( sK1_T_r @ SV562 @ SV461 @ SV337 @ SV169 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV169 @ SV337 @ SV461 @ ( throw_list_char @ SV562 ) @ SV744 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2831]) ).

thf(2908,plain,
    ! [SV848: $i,SV801: $i] :
      ( ( ( ~ ( hBOOL @ SV801 ) )
        = $true )
      | ( ( ~ ( hBOOL @ SV848 ) )
        = $true )
      | ( ( ( bool @ SV801 )
          = ( bool @ SV848 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2833]) ).

thf(2909,plain,
    ! [SV849: $i,SV802: $i] :
      ( ( ( hBOOL @ SV802 )
        = $true )
      | ( ( hBOOL @ SV849 )
        = $true )
      | ( ( ( bool @ SV802 )
          = ( bool @ SV849 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2834]) ).

thf(2910,plain,
    ! [SV850: $i,SV803: $i] :
      ( ( ( ( bool @ SV803 )
          = ( bool @ SV850 ) )
        = $false )
      | ( ( ~ ( hBOOL @ SV803 )
          | ( hBOOL @ SV850 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2835]) ).

thf(2911,plain,
    ! [SV851: $i,SV804: $i] :
      ( ( ( ( bool @ SV804 )
          = ( bool @ SV851 ) )
        = $false )
      | ( ( ~ ( hBOOL @ SV851 )
          | ( hBOOL @ SV804 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2836]) ).

thf(2912,plain,
    ! [SV810: $i,SV341: $i,SV749: $i,SV173: $i] :
      ( ( ( SV173 = SV749 )
        = $false )
      | ( ( ( SV341 != SV810 ) )
        = $true )
      | ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV749 ) @ SV810 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2842]) ).

thf(2913,plain,
    ! [SV864: $i,SV341: $i,SV173: $i] :
      ( ( ( ! [SY2740: $i] :
              ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV864 ) @ SY2740 ) ) )
        = $true )
      | ( ( SV173 = SV864 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2843]) ).

thf(2914,plain,
    ! [SV879: $i,SV865: $i,SV341: $i,SV173: $i] :
      ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
         != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV865 ) @ SV879 ) )
        | ( SV341 = SV879 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2844]) ).

thf(2915,plain,
    ! [SV866: $i,SV462: $i,SV855: $i,SV344: $i,SV573: $i,SV176: $i] :
      ( ( ( ( SV176 != SV573 )
          | ( SV344 != SV855 )
          | ( SV462 != SV866 ) )
        = $true )
      | ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
          = ( block_list_char @ SV573 @ SV855 @ SV866 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2848]) ).

thf(2916,plain,
    ! [SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ~ ( ~ ( ! [SY2456: $i,SY2457: $i] :
                    ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                   != ( block_list_char @ SV573 @ SY2456 @ SY2457 ) )
                | ( SV176 = SV573 ) )
            | ~ ! [SY2458: $i] :
                  ( ! [SY2459: $i] :
                      ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                     != ( block_list_char @ SV573 @ SY2458 @ SY2459 ) )
                  | ( SV344 = SY2458 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2849]) ).

thf(2917,plain,
    ! [SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ! [SY2460: $i,SY2461: $i] :
            ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
             != ( block_list_char @ SV573 @ SY2460 @ SY2461 ) )
            | ( SV462 = SY2461 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2850]) ).

thf(2918,plain,
    ! [SV814: $i,SV345: $i,SV754: $i,SV177: $i] :
      ( ( ( SV177 = SV754 )
        = $false )
      | ( ( ( SV345 != SV814 ) )
        = $true )
      | ( ( ( seq_list_char @ SV177 @ SV345 )
          = ( seq_list_char @ SV754 @ SV814 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2851]) ).

thf(2919,plain,
    ! [SV867: $i,SV345: $i,SV177: $i] :
      ( ( ( ! [SY2742: $i] :
              ( ( seq_list_char @ SV177 @ SV345 )
             != ( seq_list_char @ SV867 @ SY2742 ) ) )
        = $true )
      | ( ( SV177 = SV867 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2852]) ).

thf(2920,plain,
    ! [SV880: $i,SV868: $i,SV345: $i,SV177: $i] :
      ( ( ( ( seq_list_char @ SV177 @ SV345 )
         != ( seq_list_char @ SV868 @ SV880 ) )
        | ( SV345 = SV880 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2853]) ).

thf(2921,plain,
    ! [SV578: $i,SV681: $i] :
      ( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV681 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV578 ) ) )
        = $true )
      | ( ( SV681 = SV578 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2854]) ).

thf(2922,plain,
    ! [SV578: $i,SV681: $i] :
      ( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV681 ) )
        = $true )
      | ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV578 ) )
        = $true )
      | ( ( SV681 = SV578 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2855]) ).

thf(2923,plain,
    ! [SV579: $i,SV682: $i] :
      ( ( ( ! [SY2602: $i,SY2603: $i] :
              ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2602 ) @ SY2603 ) @ SV682 ) )
              | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2602 ) @ SY2603 ) @ SV579 ) ) ) )
        = $true )
      | ( ( SV682 = SV579 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2856]) ).

thf(2924,plain,
    ! [SV682: $i,SV579: $i] :
      ( ( ( ! [SY2604: $i,SY2605: $i] :
              ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2604 ) @ SY2605 ) @ SV579 ) )
              | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2604 ) @ SY2605 ) @ SV682 ) ) ) )
        = $true )
      | ( ( SV682 = SV579 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2857]) ).

thf(2925,plain,
    ! [SV463: $i,SV346: $i,SV178: $i] :
      ( ( ~ ! [SY2238: $i] :
              ( ! [SY2239: $i] :
                  ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2238 )
                 != ( hAPP_val_option_val @ some_val @ SY2239 ) )
              | ( SY2238 = SV346 )
              | ( SY2238 != SV346 ) )
        | ~ ! [SY2240: $i,SY2241: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2240 )
               != ( hAPP_val_option_val @ some_val @ SY2241 ) )
              | ( SY2240 = SV346 )
              | ( ( hAPP_P2094403585on_val @ SV178 @ SY2240 )
                = ( hAPP_val_option_val @ some_val @ SY2241 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2858]) ).

thf(2926,plain,
    ! [SV463: $i,SV346: $i,SV178: $i] :
      ( ( ~ ! [SY2242: $i,SY2243: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2242 )
               != ( hAPP_val_option_val @ some_val @ SY2243 ) )
              | ( SV463 = SY2243 )
              | ( SY2242 != SV346 ) )
        | ~ ! [SY2244: $i,SY2245: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2244 )
               != ( hAPP_val_option_val @ some_val @ SY2245 ) )
              | ( SV463 = SY2245 )
              | ( ( hAPP_P2094403585on_val @ SV178 @ SY2244 )
                = ( hAPP_val_option_val @ some_val @ SY2245 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2859]) ).

thf(2927,plain,
    ! [SV178: $i,SV463: $i,SV346: $i,SV881: $i] :
      ( ( ! [SY2751: $i] :
            ( ( SV881 != SV346 )
            | ( SV463 != SY2751 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV881 )
              = ( hAPP_val_option_val @ some_val @ SY2751 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2860]) ).

thf(2928,plain,
    ! [SV463: $i,SV178: $i,SV346: $i,SV882: $i] :
      ( ( ! [SY2752: $i] :
            ( ( SV882 = SV346 )
            | ( ( hAPP_P2094403585on_val @ SV178 @ SV882 )
             != ( hAPP_val_option_val @ some_val @ SY2752 ) )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV882 )
              = ( hAPP_val_option_val @ some_val @ SY2752 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2861]) ).

thf(2929,plain,
    ! [SV818: $i,SV347: $i,SV757: $i,SV179: $i] :
      ( ( ( SV179 = SV757 )
        = $false )
      | ( ( ( SV347 != SV818 ) )
        = $true )
      | ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV757 ) @ SV818 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2862]) ).

thf(2930,plain,
    ! [SV869: $i,SV347: $i,SV179: $i] :
      ( ( ( ! [SY2744: $i] :
              ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
             != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV869 ) @ SY2744 ) ) )
        = $true )
      | ( ( SV179 = SV869 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2863]) ).

thf(2931,plain,
    ! [SV883: $i,SV870: $i,SV347: $i,SV179: $i] :
      ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
         != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV870 ) @ SV883 ) )
        | ( SV347 = SV883 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2864]) ).

thf(2932,plain,
    ! [SV590: $i,SV689: $i] :
      ( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV689 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV590 ) ) )
        = $true )
      | ( ( SV689 = SV590 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2868]) ).

thf(2933,plain,
    ! [SV590: $i,SV689: $i] :
      ( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV689 ) )
        = $true )
      | ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV590 ) )
        = $true )
      | ( ( SV689 = SV590 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2869]) ).

thf(2934,plain,
    ! [SV591: $i,SV690: $i] :
      ( ( ( ! [SY2608: $i,SY2609: $i] :
              ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2608 ) @ SY2609 ) @ SV690 ) )
              | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2608 ) @ SY2609 ) @ SV591 ) ) ) )
        = $true )
      | ( ( SV690 = SV591 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2870]) ).

thf(2935,plain,
    ! [SV690: $i,SV591: $i] :
      ( ( ( ! [SY2610: $i,SY2611: $i] :
              ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2610 ) @ SY2611 ) @ SV591 ) )
              | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2610 ) @ SY2611 ) @ SV690 ) ) ) )
        = $true )
      | ( ( SV690 = SV591 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2871]) ).

thf(2936,plain,
    ! [SV825: $i,SV350: $i,SV766: $i,SV183: $i] :
      ( ( ( SV183 = SV766 )
        = $false )
      | ( ( ( SV350 != SV825 ) )
        = $true )
      | ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV766 ) @ SV825 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2872]) ).

thf(2937,plain,
    ! [SV871: $i,SV350: $i,SV183: $i] :
      ( ( ( ! [SY2746: $i] :
              ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
             != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV871 ) @ SY2746 ) ) )
        = $true )
      | ( ( SV183 = SV871 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2873]) ).

thf(2938,plain,
    ! [SV884: $i,SV872: $i,SV350: $i,SV183: $i] :
      ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
         != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV872 ) @ SV884 ) )
        | ( SV350 = SV884 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2874]) ).

thf(2939,plain,
    ! [SV828: $i,SV352: $i,SV771: $i,SV186: $i] :
      ( ( ( SV186 = SV771 )
        = $false )
      | ( ( ( SV352 != SV828 ) )
        = $true )
      | ( ( ( lAss_list_char @ SV186 @ SV352 )
          = ( lAss_list_char @ SV771 @ SV828 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2876]) ).

thf(2940,plain,
    ! [SV873: $i,SV352: $i,SV186: $i] :
      ( ( ( ! [SY2748: $i] :
              ( ( lAss_list_char @ SV186 @ SV352 )
             != ( lAss_list_char @ SV873 @ SY2748 ) ) )
        = $true )
      | ( ( SV186 = SV873 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2877]) ).

thf(2941,plain,
    ! [SV885: $i,SV874: $i,SV352: $i,SV186: $i] :
      ( ( ( ( lAss_list_char @ SV186 @ SV352 )
         != ( lAss_list_char @ SV874 @ SV885 ) )
        | ( SV352 = SV885 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2878]) ).

thf(2942,plain,
    ! [SV464: $i,SV353: $i,SV187: $i] :
      ( ( ~ ! [SY2250: $i] :
              ( ! [SY2251: $i] :
                  ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2250 )
                 != ( hAPP_val_option_val @ some_val @ SY2251 ) )
              | ( SY2250 = SV353 )
              | ( SY2250 != SV353 ) )
        | ~ ! [SY2252: $i,SY2253: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2252 )
               != ( hAPP_val_option_val @ some_val @ SY2253 ) )
              | ( SY2252 = SV353 )
              | ( ( hAPP_l207779698on_val @ SV187 @ SY2252 )
                = ( hAPP_val_option_val @ some_val @ SY2253 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2879]) ).

thf(2943,plain,
    ! [SV464: $i,SV353: $i,SV187: $i] :
      ( ( ~ ! [SY2254: $i,SY2255: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2254 )
               != ( hAPP_val_option_val @ some_val @ SY2255 ) )
              | ( SV464 = SY2255 )
              | ( SY2254 != SV353 ) )
        | ~ ! [SY2256: $i,SY2257: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2256 )
               != ( hAPP_val_option_val @ some_val @ SY2257 ) )
              | ( SV464 = SY2257 )
              | ( ( hAPP_l207779698on_val @ SV187 @ SY2256 )
                = ( hAPP_val_option_val @ some_val @ SY2257 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2880]) ).

thf(2944,plain,
    ! [SV187: $i,SV464: $i,SV353: $i,SV886: $i] :
      ( ( ! [SY2753: $i] :
            ( ( SV886 != SV353 )
            | ( SV464 != SY2753 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV886 )
              = ( hAPP_val_option_val @ some_val @ SY2753 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2881]) ).

thf(2945,plain,
    ! [SV464: $i,SV187: $i,SV353: $i,SV887: $i] :
      ( ( ! [SY2754: $i] :
            ( ( SV887 = SV353 )
            | ( ( hAPP_l207779698on_val @ SV187 @ SV887 )
             != ( hAPP_val_option_val @ some_val @ SY2754 ) )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV887 )
              = ( hAPP_val_option_val @ some_val @ SY2754 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2882]) ).

thf(2946,plain,
    ! [SV831: $i,SV700: $i,SV216: $i,SV38: $i,SV606: $i,SV483: $i,SV376: $i] :
      ( ( ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SV606 @ SV38 @ SV216 ) )
        = $false )
      | ( ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SV606 @ ( seq_list_char @ SV700 @ SV38 ) @ SV216 ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV376 @ SV483 @ SV606 @ SV700 @ SV831 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2884]) ).

thf(2947,plain,
    ! [SV121: $i,SV296: $i,SV888: $i,SV875: $i,SV859: $i,SV838: $i,SV785: $i,SV720: $i,SV633: $i,SV520: $i,SV424: $i] :
      ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV424 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ ( fun_up1149430426on_val @ SV633 @ SV720 @ ( hAPP_val_option_val @ some_val @ SV785 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV838 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV859 ) @ SV875 ) ) ) @ ( red @ SV888 ) ) )
        | ( ( hAPP_l207779698on_val @ SV875 @ SV720 )
         != ( hAPP_val_option_val @ some_val @ SV296 ) )
        | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV720 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SV720 @ ( val_list_char @ SV785 ) ) @ SV424 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ SV633 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV720 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SV720 @ ( val_list_char @ SV296 ) ) @ SV838 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV859 ) @ ( fun_up1149430426on_val @ SV875 @ SV720 @ ( hAPP_l207779698on_val @ SV633 @ SV720 ) ) ) ) ) @ ( red @ SV888 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2892]) ).

thf(2948,plain,
    ! [SV722: $i,SV640: $i,SV531: $i,SV839: $i,SV439: $i,SV313: $i,SV787: $i,SV138: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV138 ) @ SV787 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV439 ) ) @ ( transi2024712006on_val @ ( red @ SV839 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV531 @ SV138 ) ) @ SV640 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV439 ) ) @ ( transi2024712006on_val @ ( red @ SV839 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV531 ) @ SV640 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV722 ) ) @ SV787 ) ) @ ( transi2024712006on_val @ ( red @ SV839 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2893]) ).

thf(2949,plain,
    ! [SV139: $i,SV876: $i,SV860: $i,SV840: $i,SV788: $i,SV723: $i,SV641: $i,SV532: $i,SV440: $i,SV314: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV314 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV440 ) @ ( fun_up1149430426on_val @ SV532 @ SV641 @ ( hAPP_val_option_val @ some_val @ SV723 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV788 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV840 ) @ SV860 ) ) ) @ ( transi2024712006on_val @ ( red @ SV876 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV641 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SV641 @ ( val_list_char @ SV723 ) ) @ SV314 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV440 ) @ SV532 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV641 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SV641 @ ( val_list_char @ ( the_val @ ( hAPP_l207779698on_val @ SV860 @ SV641 ) ) ) ) @ SV788 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV840 ) @ ( fun_up1149430426on_val @ SV860 @ SV641 @ ( hAPP_l207779698on_val @ SV532 @ SV641 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SV876 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2894]) ).

thf(2950,plain,
    ! [SV140: $i,SV877: $i,SV861: $i,SV841: $i,SV789: $i,SV724: $i,SV642: $i,SV533: $i,SV441: $i,SV315: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV315 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ ( fun_up1149430426on_val @ SV533 @ SV642 @ ( hAPP_val_option_val @ some_val @ SV724 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV789 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV841 ) @ SV861 ) ) ) @ ( transi2024712006on_val @ ( red @ SV877 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( final_list_char @ SV789 ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV642 @ SV140 @ ( seq_list_char @ ( lAss_list_char @ SV642 @ ( val_list_char @ SV724 ) ) @ SV315 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ SV533 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV789 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV841 ) @ ( fun_up1149430426on_val @ SV861 @ SV642 @ ( hAPP_l207779698on_val @ SV533 @ SV642 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SV877 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2895]) ).

thf(2951,plain,
    ! [SV323: $i,SV149: $i,SV650: $i,SV541: $i,SV449: $i,SV878: $i,SV862: $i,SV844: $i,SV793: $i,SV732: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV732 ) @ SV793 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV844 ) ) @ SV862 ) ) @ ( transi2024712006on_val @ ( red @ SV878 ) ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV449 ) @ SV862 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SV650 ) ) @ ( transi2024712006on_val @ ( red @ SV878 ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV732 @ SV149 @ SV323 @ SV449 ) ) @ SV793 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SV650 ) ) @ ( transi2024712006on_val @ ( red @ SV878 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2898]) ).

thf(2952,plain,
    ! [SV157: $i,SV548: $i,SV457: $i,SV331: $i,SV863: $i,SV846: $i,SV796: $i,SV737: $i,SV657: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV657 ) @ SV737 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV796 ) ) @ SV846 ) ) @ ( transi2024712006on_val @ ( red @ SV863 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV331 ) @ SV846 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SV548 ) ) @ ( transi2024712006on_val @ ( red @ SV863 ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV657 @ SV157 @ SV331 ) ) @ SV737 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SV548 ) ) @ ( transi2024712006on_val @ ( red @ SV863 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2901]) ).

thf(2953,plain,
    ! [SV560: $i,SV669: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV669 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV560 ) ) )
        = $true )
      | ( ( SV669 = SV560 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2902]) ).

thf(2954,plain,
    ! [SV561: $i,SV670: $i,SV889: $i] :
      ( ( ( ! [SY2755: $i] :
              ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV889 ) @ SY2755 ) @ SV670 ) )
              | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV889 ) @ SY2755 ) @ SV561 ) ) ) )
        = $true )
      | ( ( SV670 = SV561 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2904]) ).

thf(2955,plain,
    ! [SV670: $i,SV561: $i,SV890: $i] :
      ( ( ( ! [SY2756: $i] :
              ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV890 ) @ SY2756 ) @ SV561 ) )
              | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV890 ) @ SY2756 ) @ SV670 ) ) ) )
        = $true )
      | ( ( SV670 = SV561 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2905]) ).

thf(2956,plain,
    ! [SV848: $i,SV801: $i] :
      ( ( ( hBOOL @ SV801 )
        = $false )
      | ( ( ~ ( hBOOL @ SV848 ) )
        = $true )
      | ( ( ( bool @ SV801 )
          = ( bool @ SV848 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2908]) ).

thf(2957,plain,
    ! [SV850: $i,SV803: $i] :
      ( ( ( ~ ( hBOOL @ SV803 ) )
        = $true )
      | ( ( hBOOL @ SV850 )
        = $true )
      | ( ( ( bool @ SV803 )
          = ( bool @ SV850 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2910]) ).

thf(2958,plain,
    ! [SV804: $i,SV851: $i] :
      ( ( ( ~ ( hBOOL @ SV851 ) )
        = $true )
      | ( ( hBOOL @ SV804 )
        = $true )
      | ( ( ( bool @ SV804 )
          = ( bool @ SV851 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2911]) ).

thf(2959,plain,
    ! [SV749: $i,SV173: $i,SV810: $i,SV341: $i] :
      ( ( ( SV341 = SV810 )
        = $false )
      | ( ( SV173 = SV749 )
        = $false )
      | ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV749 ) @ SV810 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2912]) ).

thf(2960,plain,
    ! [SV891: $i,SV864: $i,SV341: $i,SV173: $i] :
      ( ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
           != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV864 ) @ SV891 ) ) )
        = $true )
      | ( ( SV173 = SV864 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2913]) ).

thf(2961,plain,
    ! [SV879: $i,SV865: $i,SV341: $i,SV173: $i] :
      ( ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
           != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV865 ) @ SV879 ) ) )
        = $true )
      | ( ( SV341 = SV879 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2914]) ).

thf(2962,plain,
    ! [SV866: $i,SV462: $i,SV855: $i,SV344: $i,SV573: $i,SV176: $i] :
      ( ( ( ( SV176 != SV573 )
          | ( SV344 != SV855 ) )
        = $true )
      | ( ( ( SV462 != SV866 ) )
        = $true )
      | ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
          = ( block_list_char @ SV573 @ SV855 @ SV866 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2915]) ).

thf(2963,plain,
    ! [SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ~ ( ! [SY2456: $i,SY2457: $i] :
                ( ( block_list_char @ SV176 @ SV344 @ SV462 )
               != ( block_list_char @ SV573 @ SY2456 @ SY2457 ) )
            | ( SV176 = SV573 ) )
        | ~ ! [SY2458: $i] :
              ( ! [SY2459: $i] :
                  ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                 != ( block_list_char @ SV573 @ SY2458 @ SY2459 ) )
              | ( SV344 = SY2458 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2916]) ).

thf(2964,plain,
    ! [SV892: $i,SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ! [SY2757: $i] :
            ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
             != ( block_list_char @ SV573 @ SV892 @ SY2757 ) )
            | ( SV462 = SY2757 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2917]) ).

thf(2965,plain,
    ! [SV754: $i,SV177: $i,SV814: $i,SV345: $i] :
      ( ( ( SV345 = SV814 )
        = $false )
      | ( ( SV177 = SV754 )
        = $false )
      | ( ( ( seq_list_char @ SV177 @ SV345 )
          = ( seq_list_char @ SV754 @ SV814 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2918]) ).

thf(2966,plain,
    ! [SV893: $i,SV867: $i,SV345: $i,SV177: $i] :
      ( ( ( ( ( seq_list_char @ SV177 @ SV345 )
           != ( seq_list_char @ SV867 @ SV893 ) ) )
        = $true )
      | ( ( SV177 = SV867 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2919]) ).

thf(2967,plain,
    ! [SV880: $i,SV868: $i,SV345: $i,SV177: $i] :
      ( ( ( ( ( seq_list_char @ SV177 @ SV345 )
           != ( seq_list_char @ SV868 @ SV880 ) ) )
        = $true )
      | ( ( SV345 = SV880 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2920]) ).

thf(2968,plain,
    ! [SV578: $i,SV681: $i] :
      ( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV681 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV578 ) ) )
        = $true )
      | ( ( SV681 = SV578 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2921]) ).

thf(2969,plain,
    ! [SV579: $i,SV682: $i,SV894: $i] :
      ( ( ( ! [SY2758: $i] :
              ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV894 ) @ SY2758 ) @ SV682 ) )
              | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV894 ) @ SY2758 ) @ SV579 ) ) ) )
        = $true )
      | ( ( SV682 = SV579 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2923]) ).

thf(2970,plain,
    ! [SV682: $i,SV579: $i,SV895: $i] :
      ( ( ( ! [SY2759: $i] :
              ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV895 ) @ SY2759 ) @ SV579 ) )
              | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV895 ) @ SY2759 ) @ SV682 ) ) ) )
        = $true )
      | ( ( SV682 = SV579 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2924]) ).

thf(2971,plain,
    ! [SV463: $i,SV346: $i,SV178: $i] :
      ( ( ~ ! [SY2238: $i] :
              ( ! [SY2239: $i] :
                  ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2238 )
                 != ( hAPP_val_option_val @ some_val @ SY2239 ) )
              | ( SY2238 = SV346 )
              | ( SY2238 != SV346 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2925]) ).

thf(2972,plain,
    ! [SV463: $i,SV346: $i,SV178: $i] :
      ( ( ~ ! [SY2240: $i,SY2241: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2240 )
               != ( hAPP_val_option_val @ some_val @ SY2241 ) )
              | ( SY2240 = SV346 )
              | ( ( hAPP_P2094403585on_val @ SV178 @ SY2240 )
                = ( hAPP_val_option_val @ some_val @ SY2241 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2925]) ).

thf(2973,plain,
    ! [SV463: $i,SV346: $i,SV178: $i] :
      ( ( ~ ! [SY2242: $i,SY2243: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2242 )
               != ( hAPP_val_option_val @ some_val @ SY2243 ) )
              | ( SV463 = SY2243 )
              | ( SY2242 != SV346 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2926]) ).

thf(2974,plain,
    ! [SV463: $i,SV346: $i,SV178: $i] :
      ( ( ~ ! [SY2244: $i,SY2245: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2244 )
               != ( hAPP_val_option_val @ some_val @ SY2245 ) )
              | ( SV463 = SY2245 )
              | ( ( hAPP_P2094403585on_val @ SV178 @ SY2244 )
                = ( hAPP_val_option_val @ some_val @ SY2245 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2926]) ).

thf(2975,plain,
    ! [SV178: $i,SV896: $i,SV463: $i,SV346: $i,SV881: $i] :
      ( ( ( SV881 != SV346 )
        | ( SV463 != SV896 )
        | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV881 )
          = ( hAPP_val_option_val @ some_val @ SV896 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2927]) ).

thf(2976,plain,
    ! [SV463: $i,SV897: $i,SV178: $i,SV346: $i,SV882: $i] :
      ( ( ( SV882 = SV346 )
        | ( ( hAPP_P2094403585on_val @ SV178 @ SV882 )
         != ( hAPP_val_option_val @ some_val @ SV897 ) )
        | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV882 )
          = ( hAPP_val_option_val @ some_val @ SV897 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2928]) ).

thf(2977,plain,
    ! [SV757: $i,SV179: $i,SV818: $i,SV347: $i] :
      ( ( ( SV347 = SV818 )
        = $false )
      | ( ( SV179 = SV757 )
        = $false )
      | ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV757 ) @ SV818 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2929]) ).

thf(2978,plain,
    ! [SV898: $i,SV869: $i,SV347: $i,SV179: $i] :
      ( ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
           != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV869 ) @ SV898 ) ) )
        = $true )
      | ( ( SV179 = SV869 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2930]) ).

thf(2979,plain,
    ! [SV883: $i,SV870: $i,SV347: $i,SV179: $i] :
      ( ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
           != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV870 ) @ SV883 ) ) )
        = $true )
      | ( ( SV347 = SV883 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2931]) ).

thf(2980,plain,
    ! [SV590: $i,SV689: $i] :
      ( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV689 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV590 ) ) )
        = $true )
      | ( ( SV689 = SV590 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2932]) ).

thf(2981,plain,
    ! [SV591: $i,SV690: $i,SV899: $i] :
      ( ( ( ! [SY2760: $i] :
              ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV899 ) @ SY2760 ) @ SV690 ) )
              | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV899 ) @ SY2760 ) @ SV591 ) ) ) )
        = $true )
      | ( ( SV690 = SV591 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2934]) ).

thf(2982,plain,
    ! [SV690: $i,SV591: $i,SV900: $i] :
      ( ( ( ! [SY2761: $i] :
              ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV900 ) @ SY2761 ) @ SV591 ) )
              | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV900 ) @ SY2761 ) @ SV690 ) ) ) )
        = $true )
      | ( ( SV690 = SV591 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2935]) ).

thf(2983,plain,
    ! [SV766: $i,SV183: $i,SV825: $i,SV350: $i] :
      ( ( ( SV350 = SV825 )
        = $false )
      | ( ( SV183 = SV766 )
        = $false )
      | ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV766 ) @ SV825 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2936]) ).

thf(2984,plain,
    ! [SV901: $i,SV871: $i,SV350: $i,SV183: $i] :
      ( ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
           != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV871 ) @ SV901 ) ) )
        = $true )
      | ( ( SV183 = SV871 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2937]) ).

thf(2985,plain,
    ! [SV884: $i,SV872: $i,SV350: $i,SV183: $i] :
      ( ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
           != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV872 ) @ SV884 ) ) )
        = $true )
      | ( ( SV350 = SV884 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2938]) ).

thf(2986,plain,
    ! [SV771: $i,SV186: $i,SV828: $i,SV352: $i] :
      ( ( ( SV352 = SV828 )
        = $false )
      | ( ( SV186 = SV771 )
        = $false )
      | ( ( ( lAss_list_char @ SV186 @ SV352 )
          = ( lAss_list_char @ SV771 @ SV828 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2939]) ).

thf(2987,plain,
    ! [SV902: $i,SV873: $i,SV352: $i,SV186: $i] :
      ( ( ( ( ( lAss_list_char @ SV186 @ SV352 )
           != ( lAss_list_char @ SV873 @ SV902 ) ) )
        = $true )
      | ( ( SV186 = SV873 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2940]) ).

thf(2988,plain,
    ! [SV885: $i,SV874: $i,SV352: $i,SV186: $i] :
      ( ( ( ( ( lAss_list_char @ SV186 @ SV352 )
           != ( lAss_list_char @ SV874 @ SV885 ) ) )
        = $true )
      | ( ( SV352 = SV885 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2941]) ).

thf(2989,plain,
    ! [SV464: $i,SV353: $i,SV187: $i] :
      ( ( ~ ! [SY2250: $i] :
              ( ! [SY2251: $i] :
                  ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2250 )
                 != ( hAPP_val_option_val @ some_val @ SY2251 ) )
              | ( SY2250 = SV353 )
              | ( SY2250 != SV353 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2942]) ).

thf(2990,plain,
    ! [SV464: $i,SV353: $i,SV187: $i] :
      ( ( ~ ! [SY2252: $i,SY2253: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2252 )
               != ( hAPP_val_option_val @ some_val @ SY2253 ) )
              | ( SY2252 = SV353 )
              | ( ( hAPP_l207779698on_val @ SV187 @ SY2252 )
                = ( hAPP_val_option_val @ some_val @ SY2253 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2942]) ).

thf(2991,plain,
    ! [SV464: $i,SV353: $i,SV187: $i] :
      ( ( ~ ! [SY2254: $i,SY2255: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2254 )
               != ( hAPP_val_option_val @ some_val @ SY2255 ) )
              | ( SV464 = SY2255 )
              | ( SY2254 != SV353 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2943]) ).

thf(2992,plain,
    ! [SV464: $i,SV353: $i,SV187: $i] :
      ( ( ~ ! [SY2256: $i,SY2257: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2256 )
               != ( hAPP_val_option_val @ some_val @ SY2257 ) )
              | ( SV464 = SY2257 )
              | ( ( hAPP_l207779698on_val @ SV187 @ SY2256 )
                = ( hAPP_val_option_val @ some_val @ SY2257 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2943]) ).

thf(2993,plain,
    ! [SV187: $i,SV903: $i,SV464: $i,SV353: $i,SV886: $i] :
      ( ( ( SV886 != SV353 )
        | ( SV464 != SV903 )
        | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV886 )
          = ( hAPP_val_option_val @ some_val @ SV903 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2944]) ).

thf(2994,plain,
    ! [SV464: $i,SV904: $i,SV187: $i,SV353: $i,SV887: $i] :
      ( ( ( SV887 = SV353 )
        | ( ( hAPP_l207779698on_val @ SV187 @ SV887 )
         != ( hAPP_val_option_val @ some_val @ SV904 ) )
        | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV887 )
          = ( hAPP_val_option_val @ some_val @ SV904 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2945]) ).

thf(2995,plain,
    ! [SV121: $i,SV296: $i,SV888: $i,SV875: $i,SV859: $i,SV838: $i,SV785: $i,SV720: $i,SV633: $i,SV520: $i,SV424: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV424 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ ( fun_up1149430426on_val @ SV633 @ SV720 @ ( hAPP_val_option_val @ some_val @ SV785 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV838 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV859 ) @ SV875 ) ) ) @ ( red @ SV888 ) ) ) )
        = $true )
      | ( ( ( ( hAPP_l207779698on_val @ SV875 @ SV720 )
           != ( hAPP_val_option_val @ some_val @ SV296 ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV720 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SV720 @ ( val_list_char @ SV785 ) ) @ SV424 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ SV633 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV720 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SV720 @ ( val_list_char @ SV296 ) ) @ SV838 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV859 ) @ ( fun_up1149430426on_val @ SV875 @ SV720 @ ( hAPP_l207779698on_val @ SV633 @ SV720 ) ) ) ) ) @ ( red @ SV888 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2947]) ).

thf(2996,plain,
    ! [SV722: $i,SV640: $i,SV531: $i,SV839: $i,SV439: $i,SV313: $i,SV787: $i,SV138: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV138 ) @ SV787 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV439 ) ) @ ( transi2024712006on_val @ ( red @ SV839 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV531 @ SV138 ) ) @ SV640 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV439 ) ) @ ( transi2024712006on_val @ ( red @ SV839 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV531 ) @ SV640 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV722 ) ) @ SV787 ) ) @ ( transi2024712006on_val @ ( red @ SV839 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2948]) ).

thf(2997,plain,
    ! [SV139: $i,SV876: $i,SV860: $i,SV840: $i,SV788: $i,SV723: $i,SV641: $i,SV532: $i,SV440: $i,SV314: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV314 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV440 ) @ ( fun_up1149430426on_val @ SV532 @ SV641 @ ( hAPP_val_option_val @ some_val @ SV723 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV788 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV840 ) @ SV860 ) ) ) @ ( transi2024712006on_val @ ( red @ SV876 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV641 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SV641 @ ( val_list_char @ SV723 ) ) @ SV314 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV440 ) @ SV532 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV641 @ SV139 @ ( seq_list_char @ ( lAss_list_char @ SV641 @ ( val_list_char @ ( the_val @ ( hAPP_l207779698on_val @ SV860 @ SV641 ) ) ) ) @ SV788 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV840 ) @ ( fun_up1149430426on_val @ SV860 @ SV641 @ ( hAPP_l207779698on_val @ SV532 @ SV641 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SV876 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2949]) ).

thf(2998,plain,
    ! [SV140: $i,SV877: $i,SV861: $i,SV841: $i,SV789: $i,SV724: $i,SV642: $i,SV533: $i,SV441: $i,SV315: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV315 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ ( fun_up1149430426on_val @ SV533 @ SV642 @ ( hAPP_val_option_val @ some_val @ SV724 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV789 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV841 ) @ SV861 ) ) ) @ ( transi2024712006on_val @ ( red @ SV877 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( final_list_char @ SV789 ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV642 @ SV140 @ ( seq_list_char @ ( lAss_list_char @ SV642 @ ( val_list_char @ SV724 ) ) @ SV315 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ SV533 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV789 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV841 ) @ ( fun_up1149430426on_val @ SV861 @ SV642 @ ( hAPP_l207779698on_val @ SV533 @ SV642 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SV877 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2950]) ).

thf(2999,plain,
    ! [SV323: $i,SV149: $i,SV650: $i,SV541: $i,SV449: $i,SV878: $i,SV862: $i,SV844: $i,SV793: $i,SV732: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV732 ) @ SV793 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV844 ) ) @ SV862 ) ) @ ( transi2024712006on_val @ ( red @ SV878 ) ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV449 ) @ SV862 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SV650 ) ) @ ( transi2024712006on_val @ ( red @ SV878 ) ) ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV732 @ SV149 @ SV323 @ SV449 ) ) @ SV793 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SV650 ) ) @ ( transi2024712006on_val @ ( red @ SV878 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2951]) ).

thf(3000,plain,
    ! [SV796: $i,SV737: $i,SV157: $i,SV657: $i,SV863: $i,SV548: $i,SV457: $i,SV846: $i,SV331: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV331 ) @ SV846 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SV548 ) ) @ ( transi2024712006on_val @ ( red @ SV863 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV657 @ SV157 @ SV331 ) ) @ SV737 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SV548 ) ) @ ( transi2024712006on_val @ ( red @ SV863 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV657 ) @ SV737 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV796 ) ) @ SV846 ) ) @ ( transi2024712006on_val @ ( red @ SV863 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2952]) ).

thf(3001,plain,
    ! [SV560: $i,SV669: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV560 ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK28_X_2 @ SV669 @ SV560 ) ) @ ( sK29_SY863 @ SV669 @ SV560 ) ) @ SV669 ) )
        = $false )
      | ( ( SV669 = SV560 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2953]) ).

thf(3002,plain,
    ! [SV561: $i,SV670: $i,SV905: $i,SV889: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV889 ) @ SV905 ) @ SV670 ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV889 ) @ SV905 ) @ SV561 ) ) )
        = $true )
      | ( ( SV670 = SV561 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2954]) ).

thf(3003,plain,
    ! [SV670: $i,SV561: $i,SV906: $i,SV890: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV890 ) @ SV906 ) @ SV561 ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV890 ) @ SV906 ) @ SV670 ) ) )
        = $true )
      | ( ( SV670 = SV561 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2955]) ).

thf(3004,plain,
    ! [SV801: $i,SV848: $i] :
      ( ( ( hBOOL @ SV848 )
        = $false )
      | ( ( hBOOL @ SV801 )
        = $false )
      | ( ( ( bool @ SV801 )
          = ( bool @ SV848 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2956]) ).

thf(3005,plain,
    ! [SV850: $i,SV803: $i] :
      ( ( ( hBOOL @ SV803 )
        = $false )
      | ( ( hBOOL @ SV850 )
        = $true )
      | ( ( ( bool @ SV803 )
          = ( bool @ SV850 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2957]) ).

thf(3006,plain,
    ! [SV804: $i,SV851: $i] :
      ( ( ( hBOOL @ SV851 )
        = $false )
      | ( ( hBOOL @ SV804 )
        = $true )
      | ( ( ( bool @ SV804 )
          = ( bool @ SV851 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2958]) ).

thf(3007,plain,
    ! [SV891: $i,SV864: $i,SV341: $i,SV173: $i] :
      ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV864 ) @ SV891 ) )
        = $false )
      | ( ( SV173 = SV864 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2960]) ).

thf(3008,plain,
    ! [SV879: $i,SV865: $i,SV341: $i,SV173: $i] :
      ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV173 ) @ SV341 )
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV865 ) @ SV879 ) )
        = $false )
      | ( ( SV341 = SV879 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2961]) ).

thf(3009,plain,
    ! [SV866: $i,SV462: $i,SV855: $i,SV344: $i,SV573: $i,SV176: $i] :
      ( ( ( ( SV176 != SV573 ) )
        = $true )
      | ( ( ( SV344 != SV855 ) )
        = $true )
      | ( ( ( SV462 != SV866 ) )
        = $true )
      | ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
          = ( block_list_char @ SV573 @ SV855 @ SV866 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2962]) ).

thf(3010,plain,
    ! [SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ~ ( ! [SY2456: $i,SY2457: $i] :
                ( ( block_list_char @ SV176 @ SV344 @ SV462 )
               != ( block_list_char @ SV573 @ SY2456 @ SY2457 ) )
            | ( SV176 = SV573 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2963]) ).

thf(3011,plain,
    ! [SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ~ ! [SY2458: $i] :
              ( ! [SY2459: $i] :
                  ( ( block_list_char @ SV176 @ SV344 @ SV462 )
                 != ( block_list_char @ SV573 @ SY2458 @ SY2459 ) )
              | ( SV344 = SY2458 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2963]) ).

thf(3012,plain,
    ! [SV907: $i,SV892: $i,SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
         != ( block_list_char @ SV573 @ SV892 @ SV907 ) )
        | ( SV462 = SV907 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2964]) ).

thf(3013,plain,
    ! [SV893: $i,SV867: $i,SV345: $i,SV177: $i] :
      ( ( ( ( seq_list_char @ SV177 @ SV345 )
          = ( seq_list_char @ SV867 @ SV893 ) )
        = $false )
      | ( ( SV177 = SV867 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2966]) ).

thf(3014,plain,
    ! [SV880: $i,SV868: $i,SV345: $i,SV177: $i] :
      ( ( ( ( seq_list_char @ SV177 @ SV345 )
          = ( seq_list_char @ SV868 @ SV880 ) )
        = $false )
      | ( ( SV345 = SV880 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2967]) ).

thf(3015,plain,
    ! [SV578: $i,SV681: $i] :
      ( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV578 ) )
        = $false )
      | ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK30_X_2 @ SV681 @ SV578 ) ) @ ( sK31_SY864 @ SV681 @ SV578 ) ) @ SV681 ) )
        = $false )
      | ( ( SV681 = SV578 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2968]) ).

thf(3016,plain,
    ! [SV579: $i,SV682: $i,SV908: $i,SV894: $i] :
      ( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV894 ) @ SV908 ) @ SV682 ) )
          | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV894 ) @ SV908 ) @ SV579 ) ) )
        = $true )
      | ( ( SV682 = SV579 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2969]) ).

thf(3017,plain,
    ! [SV682: $i,SV579: $i,SV909: $i,SV895: $i] :
      ( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV895 ) @ SV909 ) @ SV579 ) )
          | ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV895 ) @ SV909 ) @ SV682 ) ) )
        = $true )
      | ( ( SV682 = SV579 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2970]) ).

thf(3018,plain,
    ! [SV463: $i,SV346: $i,SV178: $i] :
      ( ( ! [SY2238: $i] :
            ( ! [SY2239: $i] :
                ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2238 )
               != ( hAPP_val_option_val @ some_val @ SY2239 ) )
            | ( SY2238 = SV346 )
            | ( SY2238 != SV346 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2971]) ).

thf(3019,plain,
    ! [SV463: $i,SV346: $i,SV178: $i] :
      ( ( ! [SY2240: $i,SY2241: $i] :
            ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2240 )
             != ( hAPP_val_option_val @ some_val @ SY2241 ) )
            | ( SY2240 = SV346 )
            | ( ( hAPP_P2094403585on_val @ SV178 @ SY2240 )
              = ( hAPP_val_option_val @ some_val @ SY2241 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2972]) ).

thf(3020,plain,
    ! [SV463: $i,SV346: $i,SV178: $i] :
      ( ( ! [SY2242: $i,SY2243: $i] :
            ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2242 )
             != ( hAPP_val_option_val @ some_val @ SY2243 ) )
            | ( SV463 = SY2243 )
            | ( SY2242 != SV346 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2973]) ).

thf(3021,plain,
    ! [SV463: $i,SV346: $i,SV178: $i] :
      ( ( ! [SY2244: $i,SY2245: $i] :
            ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SY2244 )
             != ( hAPP_val_option_val @ some_val @ SY2245 ) )
            | ( SV463 = SY2245 )
            | ( ( hAPP_P2094403585on_val @ SV178 @ SY2244 )
              = ( hAPP_val_option_val @ some_val @ SY2245 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2974]) ).

thf(3022,plain,
    ! [SV178: $i,SV896: $i,SV463: $i,SV346: $i,SV881: $i] :
      ( ( ( ( SV881 != SV346 )
          | ( SV463 != SV896 ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV881 )
          = ( hAPP_val_option_val @ some_val @ SV896 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2975]) ).

thf(3023,plain,
    ! [SV463: $i,SV897: $i,SV178: $i,SV346: $i,SV882: $i] :
      ( ( ( ( SV882 = SV346 )
          | ( ( hAPP_P2094403585on_val @ SV178 @ SV882 )
           != ( hAPP_val_option_val @ some_val @ SV897 ) ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV882 )
          = ( hAPP_val_option_val @ some_val @ SV897 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2976]) ).

thf(3024,plain,
    ! [SV898: $i,SV869: $i,SV347: $i,SV179: $i] :
      ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV869 ) @ SV898 ) )
        = $false )
      | ( ( SV179 = SV869 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2978]) ).

thf(3025,plain,
    ! [SV883: $i,SV870: $i,SV347: $i,SV179: $i] :
      ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV179 ) @ SV347 )
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV870 ) @ SV883 ) )
        = $false )
      | ( ( SV347 = SV883 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2979]) ).

thf(3026,plain,
    ! [SV590: $i,SV689: $i] :
      ( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV590 ) )
        = $false )
      | ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_X_2 @ SV689 @ SV590 ) ) @ ( sK33_SY865 @ SV689 @ SV590 ) ) @ SV689 ) )
        = $false )
      | ( ( SV689 = SV590 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2980]) ).

thf(3027,plain,
    ! [SV591: $i,SV690: $i,SV910: $i,SV899: $i] :
      ( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV899 ) @ SV910 ) @ SV690 ) )
          | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV899 ) @ SV910 ) @ SV591 ) ) )
        = $true )
      | ( ( SV690 = SV591 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2981]) ).

thf(3028,plain,
    ! [SV690: $i,SV591: $i,SV911: $i,SV900: $i] :
      ( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV900 ) @ SV911 ) @ SV591 ) )
          | ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV900 ) @ SV911 ) @ SV690 ) ) )
        = $true )
      | ( ( SV690 = SV591 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2982]) ).

thf(3029,plain,
    ! [SV901: $i,SV871: $i,SV350: $i,SV183: $i] :
      ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV871 ) @ SV901 ) )
        = $false )
      | ( ( SV183 = SV871 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2984]) ).

thf(3030,plain,
    ! [SV884: $i,SV872: $i,SV350: $i,SV183: $i] :
      ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV350 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV872 ) @ SV884 ) )
        = $false )
      | ( ( SV350 = SV884 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2985]) ).

thf(3031,plain,
    ! [SV902: $i,SV873: $i,SV352: $i,SV186: $i] :
      ( ( ( ( lAss_list_char @ SV186 @ SV352 )
          = ( lAss_list_char @ SV873 @ SV902 ) )
        = $false )
      | ( ( SV186 = SV873 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2987]) ).

thf(3032,plain,
    ! [SV885: $i,SV874: $i,SV352: $i,SV186: $i] :
      ( ( ( ( lAss_list_char @ SV186 @ SV352 )
          = ( lAss_list_char @ SV874 @ SV885 ) )
        = $false )
      | ( ( SV352 = SV885 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2988]) ).

thf(3033,plain,
    ! [SV464: $i,SV353: $i,SV187: $i] :
      ( ( ! [SY2250: $i] :
            ( ! [SY2251: $i] :
                ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2250 )
               != ( hAPP_val_option_val @ some_val @ SY2251 ) )
            | ( SY2250 = SV353 )
            | ( SY2250 != SV353 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2989]) ).

thf(3034,plain,
    ! [SV464: $i,SV353: $i,SV187: $i] :
      ( ( ! [SY2252: $i,SY2253: $i] :
            ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2252 )
             != ( hAPP_val_option_val @ some_val @ SY2253 ) )
            | ( SY2252 = SV353 )
            | ( ( hAPP_l207779698on_val @ SV187 @ SY2252 )
              = ( hAPP_val_option_val @ some_val @ SY2253 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2990]) ).

thf(3035,plain,
    ! [SV464: $i,SV353: $i,SV187: $i] :
      ( ( ! [SY2254: $i,SY2255: $i] :
            ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2254 )
             != ( hAPP_val_option_val @ some_val @ SY2255 ) )
            | ( SV464 = SY2255 )
            | ( SY2254 != SV353 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2991]) ).

thf(3036,plain,
    ! [SV464: $i,SV353: $i,SV187: $i] :
      ( ( ! [SY2256: $i,SY2257: $i] :
            ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SY2256 )
             != ( hAPP_val_option_val @ some_val @ SY2257 ) )
            | ( SV464 = SY2257 )
            | ( ( hAPP_l207779698on_val @ SV187 @ SY2256 )
              = ( hAPP_val_option_val @ some_val @ SY2257 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2992]) ).

thf(3037,plain,
    ! [SV187: $i,SV903: $i,SV464: $i,SV353: $i,SV886: $i] :
      ( ( ( ( SV886 != SV353 )
          | ( SV464 != SV903 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV886 )
          = ( hAPP_val_option_val @ some_val @ SV903 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2993]) ).

thf(3038,plain,
    ! [SV464: $i,SV904: $i,SV187: $i,SV353: $i,SV887: $i] :
      ( ( ( ( SV887 = SV353 )
          | ( ( hAPP_l207779698on_val @ SV187 @ SV887 )
           != ( hAPP_val_option_val @ some_val @ SV904 ) ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV887 )
          = ( hAPP_val_option_val @ some_val @ SV904 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2994]) ).

thf(3039,plain,
    ! [SV121: $i,SV296: $i,SV888: $i,SV875: $i,SV859: $i,SV838: $i,SV785: $i,SV720: $i,SV633: $i,SV520: $i,SV424: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV424 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ ( fun_up1149430426on_val @ SV633 @ SV720 @ ( hAPP_val_option_val @ some_val @ SV785 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV838 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV859 ) @ SV875 ) ) ) @ ( red @ SV888 ) ) )
        = $false )
      | ( ( ( ( hAPP_l207779698on_val @ SV875 @ SV720 )
           != ( hAPP_val_option_val @ some_val @ SV296 ) )
          | ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV720 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SV720 @ ( val_list_char @ SV785 ) ) @ SV424 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ SV633 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV720 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SV720 @ ( val_list_char @ SV296 ) ) @ SV838 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV859 ) @ ( fun_up1149430426on_val @ SV875 @ SV720 @ ( hAPP_l207779698on_val @ SV633 @ SV720 ) ) ) ) ) @ ( red @ SV888 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2995]) ).

thf(3040,plain,
    ! [SV877: $i,SV861: $i,SV841: $i,SV533: $i,SV441: $i,SV315: $i,SV724: $i,SV140: $i,SV642: $i,SV789: $i] :
      ( ( ( ~ ( hBOOL @ ( final_list_char @ SV789 ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV642 @ SV140 @ ( seq_list_char @ ( lAss_list_char @ SV642 @ ( val_list_char @ SV724 ) ) @ SV315 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ SV533 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV789 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV841 ) @ ( fun_up1149430426on_val @ SV861 @ SV642 @ ( hAPP_l207779698on_val @ SV533 @ SV642 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SV877 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV315 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ ( fun_up1149430426on_val @ SV533 @ SV642 @ ( hAPP_val_option_val @ some_val @ SV724 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV789 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV841 ) @ SV861 ) ) ) @ ( transi2024712006on_val @ ( red @ SV877 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2998]) ).

thf(3041,plain,
    ! [SV844: $i,SV793: $i,SV323: $i,SV149: $i,SV732: $i,SV878: $i,SV650: $i,SV541: $i,SV862: $i,SV449: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV449 ) @ SV862 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SV650 ) ) @ ( transi2024712006on_val @ ( red @ SV878 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV732 @ SV149 @ SV323 @ SV449 ) ) @ SV793 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SV650 ) ) @ ( transi2024712006on_val @ ( red @ SV878 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV732 ) @ SV793 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV844 ) ) @ SV862 ) ) @ ( transi2024712006on_val @ ( red @ SV878 ) ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2999]) ).

thf(3042,plain,
    ! [SV796: $i,SV737: $i,SV157: $i,SV657: $i,SV863: $i,SV548: $i,SV457: $i,SV846: $i,SV331: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV331 ) @ SV846 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SV548 ) ) @ ( transi2024712006on_val @ ( red @ SV863 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV657 @ SV157 @ SV331 ) ) @ SV737 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV457 ) ) @ SV548 ) ) @ ( transi2024712006on_val @ ( red @ SV863 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV657 ) @ SV737 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV796 ) ) @ SV846 ) ) @ ( transi2024712006on_val @ ( red @ SV863 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3000]) ).

thf(3043,plain,
    ! [SV561: $i,SV670: $i,SV905: $i,SV889: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV889 ) @ SV905 ) @ SV670 ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV889 ) @ SV905 ) @ SV561 ) )
        = $true )
      | ( ( SV670 = SV561 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3002]) ).

thf(3044,plain,
    ! [SV670: $i,SV561: $i,SV906: $i,SV890: $i] :
      ( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV890 ) @ SV906 ) @ SV561 ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV890 ) @ SV906 ) @ SV670 ) )
        = $true )
      | ( ( SV670 = SV561 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3003]) ).

thf(3045,plain,
    ! [SV866: $i,SV462: $i,SV855: $i,SV344: $i,SV573: $i,SV176: $i] :
      ( ( ( SV176 = SV573 )
        = $false )
      | ( ( ( SV344 != SV855 ) )
        = $true )
      | ( ( ( SV462 != SV866 ) )
        = $true )
      | ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
          = ( block_list_char @ SV573 @ SV855 @ SV866 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3009]) ).

thf(3046,plain,
    ! [SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ! [SY2456: $i,SY2457: $i] :
            ( ( block_list_char @ SV176 @ SV344 @ SV462 )
           != ( block_list_char @ SV573 @ SY2456 @ SY2457 ) )
        | ( SV176 = SV573 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3010]) ).

thf(3047,plain,
    ! [SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ! [SY2458: $i] :
            ( ! [SY2459: $i] :
                ( ( block_list_char @ SV176 @ SV344 @ SV462 )
               != ( block_list_char @ SV573 @ SY2458 @ SY2459 ) )
            | ( SV344 = SY2458 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3011]) ).

thf(3048,plain,
    ! [SV907: $i,SV892: $i,SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
           != ( block_list_char @ SV573 @ SV892 @ SV907 ) ) )
        = $true )
      | ( ( SV462 = SV907 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3012]) ).

thf(3049,plain,
    ! [SV579: $i,SV682: $i,SV908: $i,SV894: $i] :
      ( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV894 ) @ SV908 ) @ SV682 ) ) )
        = $true )
      | ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV894 ) @ SV908 ) @ SV579 ) )
        = $true )
      | ( ( SV682 = SV579 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3016]) ).

thf(3050,plain,
    ! [SV682: $i,SV579: $i,SV909: $i,SV895: $i] :
      ( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV895 ) @ SV909 ) @ SV579 ) ) )
        = $true )
      | ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV895 ) @ SV909 ) @ SV682 ) )
        = $true )
      | ( ( SV682 = SV579 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3017]) ).

thf(3051,plain,
    ! [SV912: $i,SV463: $i,SV346: $i,SV178: $i] :
      ( ( ! [SY2762: $i] :
            ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV912 )
           != ( hAPP_val_option_val @ some_val @ SY2762 ) )
        | ( SV912 = SV346 )
        | ( SV912 != SV346 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3018]) ).

thf(3052,plain,
    ! [SV913: $i,SV463: $i,SV346: $i,SV178: $i] :
      ( ( ! [SY2763: $i] :
            ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV913 )
             != ( hAPP_val_option_val @ some_val @ SY2763 ) )
            | ( SV913 = SV346 )
            | ( ( hAPP_P2094403585on_val @ SV178 @ SV913 )
              = ( hAPP_val_option_val @ some_val @ SY2763 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3019]) ).

thf(3053,plain,
    ! [SV914: $i,SV463: $i,SV346: $i,SV178: $i] :
      ( ( ! [SY2764: $i] :
            ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV914 )
             != ( hAPP_val_option_val @ some_val @ SY2764 ) )
            | ( SV463 = SY2764 )
            | ( SV914 != SV346 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3020]) ).

thf(3054,plain,
    ! [SV915: $i,SV463: $i,SV346: $i,SV178: $i] :
      ( ( ! [SY2765: $i] :
            ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV915 )
             != ( hAPP_val_option_val @ some_val @ SY2765 ) )
            | ( SV463 = SY2765 )
            | ( ( hAPP_P2094403585on_val @ SV178 @ SV915 )
              = ( hAPP_val_option_val @ some_val @ SY2765 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3021]) ).

thf(3055,plain,
    ! [SV178: $i,SV896: $i,SV463: $i,SV346: $i,SV881: $i] :
      ( ( ( ( SV881 != SV346 ) )
        = $true )
      | ( ( ( SV463 != SV896 ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV881 )
          = ( hAPP_val_option_val @ some_val @ SV896 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3022]) ).

thf(3056,plain,
    ! [SV463: $i,SV897: $i,SV178: $i,SV346: $i,SV882: $i] :
      ( ( ( SV882 = SV346 )
        = $true )
      | ( ( ( ( hAPP_P2094403585on_val @ SV178 @ SV882 )
           != ( hAPP_val_option_val @ some_val @ SV897 ) ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV882 )
          = ( hAPP_val_option_val @ some_val @ SV897 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3023]) ).

thf(3057,plain,
    ! [SV591: $i,SV690: $i,SV910: $i,SV899: $i] :
      ( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV899 ) @ SV910 ) @ SV690 ) ) )
        = $true )
      | ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV899 ) @ SV910 ) @ SV591 ) )
        = $true )
      | ( ( SV690 = SV591 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3027]) ).

thf(3058,plain,
    ! [SV690: $i,SV591: $i,SV911: $i,SV900: $i] :
      ( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV900 ) @ SV911 ) @ SV591 ) ) )
        = $true )
      | ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV900 ) @ SV911 ) @ SV690 ) )
        = $true )
      | ( ( SV690 = SV591 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3028]) ).

thf(3059,plain,
    ! [SV916: $i,SV464: $i,SV353: $i,SV187: $i] :
      ( ( ! [SY2766: $i] :
            ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV916 )
           != ( hAPP_val_option_val @ some_val @ SY2766 ) )
        | ( SV916 = SV353 )
        | ( SV916 != SV353 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3033]) ).

thf(3060,plain,
    ! [SV917: $i,SV464: $i,SV353: $i,SV187: $i] :
      ( ( ! [SY2767: $i] :
            ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV917 )
             != ( hAPP_val_option_val @ some_val @ SY2767 ) )
            | ( SV917 = SV353 )
            | ( ( hAPP_l207779698on_val @ SV187 @ SV917 )
              = ( hAPP_val_option_val @ some_val @ SY2767 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3034]) ).

thf(3061,plain,
    ! [SV918: $i,SV464: $i,SV353: $i,SV187: $i] :
      ( ( ! [SY2768: $i] :
            ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV918 )
             != ( hAPP_val_option_val @ some_val @ SY2768 ) )
            | ( SV464 = SY2768 )
            | ( SV918 != SV353 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3035]) ).

thf(3062,plain,
    ! [SV919: $i,SV464: $i,SV353: $i,SV187: $i] :
      ( ( ! [SY2769: $i] :
            ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV919 )
             != ( hAPP_val_option_val @ some_val @ SY2769 ) )
            | ( SV464 = SY2769 )
            | ( ( hAPP_l207779698on_val @ SV187 @ SV919 )
              = ( hAPP_val_option_val @ some_val @ SY2769 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3036]) ).

thf(3063,plain,
    ! [SV187: $i,SV903: $i,SV464: $i,SV353: $i,SV886: $i] :
      ( ( ( ( SV886 != SV353 ) )
        = $true )
      | ( ( ( SV464 != SV903 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV886 )
          = ( hAPP_val_option_val @ some_val @ SV903 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3037]) ).

thf(3064,plain,
    ! [SV464: $i,SV904: $i,SV187: $i,SV353: $i,SV887: $i] :
      ( ( ( SV887 = SV353 )
        = $true )
      | ( ( ( ( hAPP_l207779698on_val @ SV187 @ SV887 )
           != ( hAPP_val_option_val @ some_val @ SV904 ) ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV887 )
          = ( hAPP_val_option_val @ some_val @ SV904 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3038]) ).

thf(3065,plain,
    ! [SV888: $i,SV859: $i,SV838: $i,SV633: $i,SV520: $i,SV424: $i,SV785: $i,SV121: $i,SV296: $i,SV720: $i,SV875: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ SV875 @ SV720 )
           != ( hAPP_val_option_val @ some_val @ SV296 ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV720 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SV720 @ ( val_list_char @ SV785 ) ) @ SV424 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ SV633 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV720 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SV720 @ ( val_list_char @ SV296 ) ) @ SV838 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV859 ) @ ( fun_up1149430426on_val @ SV875 @ SV720 @ ( hAPP_l207779698on_val @ SV633 @ SV720 ) ) ) ) ) @ ( red @ SV888 ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV424 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ ( fun_up1149430426on_val @ SV633 @ SV720 @ ( hAPP_val_option_val @ some_val @ SV785 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV838 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV859 ) @ SV875 ) ) ) @ ( red @ SV888 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3039]) ).

thf(3066,plain,
    ! [SV877: $i,SV861: $i,SV841: $i,SV533: $i,SV441: $i,SV315: $i,SV724: $i,SV140: $i,SV642: $i,SV789: $i] :
      ( ( ( hBOOL @ ( final_list_char @ SV789 ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV642 @ SV140 @ ( seq_list_char @ ( lAss_list_char @ SV642 @ ( val_list_char @ SV724 ) ) @ SV315 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ SV533 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV789 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV841 ) @ ( fun_up1149430426on_val @ SV861 @ SV642 @ ( hAPP_l207779698on_val @ SV533 @ SV642 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SV877 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV315 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV441 ) @ ( fun_up1149430426on_val @ SV533 @ SV642 @ ( hAPP_val_option_val @ some_val @ SV724 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV789 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV841 ) @ SV861 ) ) ) @ ( transi2024712006on_val @ ( red @ SV877 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3040]) ).

thf(3067,plain,
    ! [SV844: $i,SV793: $i,SV323: $i,SV149: $i,SV732: $i,SV878: $i,SV650: $i,SV541: $i,SV862: $i,SV449: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV449 ) @ SV862 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SV650 ) ) @ ( transi2024712006on_val @ ( red @ SV878 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV732 @ SV149 @ SV323 @ SV449 ) ) @ SV793 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV541 ) ) @ SV650 ) ) @ ( transi2024712006on_val @ ( red @ SV878 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV732 ) @ SV793 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV844 ) ) @ SV862 ) ) @ ( transi2024712006on_val @ ( red @ SV878 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3041]) ).

thf(3068,plain,
    ! [SV561: $i,SV670: $i,SV905: $i,SV889: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV889 ) @ SV905 ) @ SV670 ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV889 ) @ SV905 ) @ SV561 ) )
        = $true )
      | ( ( SV670 = SV561 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3043]) ).

thf(3069,plain,
    ! [SV670: $i,SV561: $i,SV906: $i,SV890: $i] :
      ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV890 ) @ SV906 ) @ SV561 ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV890 ) @ SV906 ) @ SV670 ) )
        = $true )
      | ( ( SV670 = SV561 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3044]) ).

thf(3070,plain,
    ! [SV866: $i,SV462: $i,SV573: $i,SV176: $i,SV855: $i,SV344: $i] :
      ( ( ( SV344 = SV855 )
        = $false )
      | ( ( SV176 = SV573 )
        = $false )
      | ( ( ( SV462 != SV866 ) )
        = $true )
      | ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
          = ( block_list_char @ SV573 @ SV855 @ SV866 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3045]) ).

thf(3071,plain,
    ! [SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ( ! [SY2456: $i,SY2457: $i] :
              ( ( block_list_char @ SV176 @ SV344 @ SV462 )
             != ( block_list_char @ SV573 @ SY2456 @ SY2457 ) ) )
        = $true )
      | ( ( SV176 = SV573 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3046]) ).

thf(3072,plain,
    ! [SV920: $i,SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ! [SY2770: $i] :
            ( ( block_list_char @ SV176 @ SV344 @ SV462 )
           != ( block_list_char @ SV573 @ SV920 @ SY2770 ) )
        | ( SV344 = SV920 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3047]) ).

thf(3073,plain,
    ! [SV907: $i,SV892: $i,SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
          = ( block_list_char @ SV573 @ SV892 @ SV907 ) )
        = $false )
      | ( ( SV462 = SV907 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3048]) ).

thf(3074,plain,
    ! [SV579: $i,SV682: $i,SV908: $i,SV894: $i] :
      ( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV894 ) @ SV908 ) @ SV682 ) )
        = $false )
      | ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV894 ) @ SV908 ) @ SV579 ) )
        = $true )
      | ( ( SV682 = SV579 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3049]) ).

thf(3075,plain,
    ! [SV682: $i,SV579: $i,SV909: $i,SV895: $i] :
      ( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV895 ) @ SV909 ) @ SV579 ) )
        = $false )
      | ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV895 ) @ SV909 ) @ SV682 ) )
        = $true )
      | ( ( SV682 = SV579 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3050]) ).

thf(3076,plain,
    ! [SV912: $i,SV463: $i,SV346: $i,SV178: $i] :
      ( ( ( ! [SY2762: $i] :
              ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV912 )
             != ( hAPP_val_option_val @ some_val @ SY2762 ) ) )
        = $true )
      | ( ( ( SV912 = SV346 )
          | ( SV912 != SV346 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3051]) ).

thf(3077,plain,
    ! [SV921: $i,SV913: $i,SV463: $i,SV346: $i,SV178: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV913 )
         != ( hAPP_val_option_val @ some_val @ SV921 ) )
        | ( SV913 = SV346 )
        | ( ( hAPP_P2094403585on_val @ SV178 @ SV913 )
          = ( hAPP_val_option_val @ some_val @ SV921 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3052]) ).

thf(3078,plain,
    ! [SV922: $i,SV914: $i,SV463: $i,SV346: $i,SV178: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV914 )
         != ( hAPP_val_option_val @ some_val @ SV922 ) )
        | ( SV463 = SV922 )
        | ( SV914 != SV346 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3053]) ).

thf(3079,plain,
    ! [SV923: $i,SV915: $i,SV463: $i,SV346: $i,SV178: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV915 )
         != ( hAPP_val_option_val @ some_val @ SV923 ) )
        | ( SV463 = SV923 )
        | ( ( hAPP_P2094403585on_val @ SV178 @ SV915 )
          = ( hAPP_val_option_val @ some_val @ SV923 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3054]) ).

thf(3080,plain,
    ! [SV178: $i,SV896: $i,SV463: $i,SV346: $i,SV881: $i] :
      ( ( ( SV881 = SV346 )
        = $false )
      | ( ( ( SV463 != SV896 ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV881 )
          = ( hAPP_val_option_val @ some_val @ SV896 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3055]) ).

thf(3081,plain,
    ! [SV463: $i,SV346: $i,SV897: $i,SV882: $i,SV178: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ SV178 @ SV882 )
          = ( hAPP_val_option_val @ some_val @ SV897 ) )
        = $false )
      | ( ( SV882 = SV346 )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV882 )
          = ( hAPP_val_option_val @ some_val @ SV897 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3056]) ).

thf(3082,plain,
    ! [SV591: $i,SV690: $i,SV910: $i,SV899: $i] :
      ( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV899 ) @ SV910 ) @ SV690 ) )
        = $false )
      | ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV899 ) @ SV910 ) @ SV591 ) )
        = $true )
      | ( ( SV690 = SV591 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3057]) ).

thf(3083,plain,
    ! [SV690: $i,SV591: $i,SV911: $i,SV900: $i] :
      ( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV900 ) @ SV911 ) @ SV591 ) )
        = $false )
      | ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV900 ) @ SV911 ) @ SV690 ) )
        = $true )
      | ( ( SV690 = SV591 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3058]) ).

thf(3084,plain,
    ! [SV916: $i,SV464: $i,SV353: $i,SV187: $i] :
      ( ( ( ! [SY2766: $i] :
              ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV916 )
             != ( hAPP_val_option_val @ some_val @ SY2766 ) ) )
        = $true )
      | ( ( ( SV916 = SV353 )
          | ( SV916 != SV353 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3059]) ).

thf(3085,plain,
    ! [SV924: $i,SV917: $i,SV464: $i,SV353: $i,SV187: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV917 )
         != ( hAPP_val_option_val @ some_val @ SV924 ) )
        | ( SV917 = SV353 )
        | ( ( hAPP_l207779698on_val @ SV187 @ SV917 )
          = ( hAPP_val_option_val @ some_val @ SV924 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3060]) ).

thf(3086,plain,
    ! [SV925: $i,SV918: $i,SV464: $i,SV353: $i,SV187: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV918 )
         != ( hAPP_val_option_val @ some_val @ SV925 ) )
        | ( SV464 = SV925 )
        | ( SV918 != SV353 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3061]) ).

thf(3087,plain,
    ! [SV926: $i,SV919: $i,SV464: $i,SV353: $i,SV187: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV919 )
         != ( hAPP_val_option_val @ some_val @ SV926 ) )
        | ( SV464 = SV926 )
        | ( ( hAPP_l207779698on_val @ SV187 @ SV919 )
          = ( hAPP_val_option_val @ some_val @ SV926 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3062]) ).

thf(3088,plain,
    ! [SV187: $i,SV903: $i,SV464: $i,SV353: $i,SV886: $i] :
      ( ( ( SV886 = SV353 )
        = $false )
      | ( ( ( SV464 != SV903 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV886 )
          = ( hAPP_val_option_val @ some_val @ SV903 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3063]) ).

thf(3089,plain,
    ! [SV464: $i,SV353: $i,SV904: $i,SV887: $i,SV187: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV187 @ SV887 )
          = ( hAPP_val_option_val @ some_val @ SV904 ) )
        = $false )
      | ( ( SV887 = SV353 )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV887 )
          = ( hAPP_val_option_val @ some_val @ SV904 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3064]) ).

thf(3090,plain,
    ! [SV888: $i,SV859: $i,SV838: $i,SV633: $i,SV520: $i,SV424: $i,SV785: $i,SV121: $i,SV296: $i,SV720: $i,SV875: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV875 @ SV720 )
          = ( hAPP_val_option_val @ some_val @ SV296 ) )
        = $false )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV720 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SV720 @ ( val_list_char @ SV785 ) ) @ SV424 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ SV633 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV720 @ SV121 @ ( seq_list_char @ ( lAss_list_char @ SV720 @ ( val_list_char @ SV296 ) ) @ SV838 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV859 ) @ ( fun_up1149430426on_val @ SV875 @ SV720 @ ( hAPP_l207779698on_val @ SV633 @ SV720 ) ) ) ) ) @ ( red @ SV888 ) ) )
        = $true )
      | ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV424 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV520 ) @ ( fun_up1149430426on_val @ SV633 @ SV720 @ ( hAPP_val_option_val @ some_val @ SV785 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV838 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV859 ) @ SV875 ) ) ) @ ( red @ SV888 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3065]) ).

thf(3091,plain,
    ! [SV855: $i,SV344: $i,SV573: $i,SV176: $i,SV866: $i,SV462: $i] :
      ( ( ( SV462 = SV866 )
        = $false )
      | ( ( SV176 = SV573 )
        = $false )
      | ( ( SV344 = SV855 )
        = $false )
      | ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
          = ( block_list_char @ SV573 @ SV855 @ SV866 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3070]) ).

thf(3092,plain,
    ! [SV927: $i,SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ( ! [SY2771: $i] :
              ( ( block_list_char @ SV176 @ SV344 @ SV462 )
             != ( block_list_char @ SV573 @ SV927 @ SY2771 ) ) )
        = $true )
      | ( ( SV176 = SV573 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3071]) ).

thf(3093,plain,
    ! [SV920: $i,SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ( ! [SY2770: $i] :
              ( ( block_list_char @ SV176 @ SV344 @ SV462 )
             != ( block_list_char @ SV573 @ SV920 @ SY2770 ) ) )
        = $true )
      | ( ( SV344 = SV920 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3072]) ).

thf(3094,plain,
    ! [SV928: $i,SV912: $i,SV463: $i,SV346: $i,SV178: $i] :
      ( ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV912 )
           != ( hAPP_val_option_val @ some_val @ SV928 ) ) )
        = $true )
      | ( ( ( SV912 = SV346 )
          | ( SV912 != SV346 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3076]) ).

thf(3095,plain,
    ! [SV921: $i,SV913: $i,SV463: $i,SV346: $i,SV178: $i] :
      ( ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV913 )
           != ( hAPP_val_option_val @ some_val @ SV921 ) ) )
        = $true )
      | ( ( ( SV913 = SV346 )
          | ( ( hAPP_P2094403585on_val @ SV178 @ SV913 )
            = ( hAPP_val_option_val @ some_val @ SV921 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3077]) ).

thf(3096,plain,
    ! [SV922: $i,SV914: $i,SV463: $i,SV346: $i,SV178: $i] :
      ( ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV914 )
           != ( hAPP_val_option_val @ some_val @ SV922 ) ) )
        = $true )
      | ( ( ( SV463 = SV922 )
          | ( SV914 != SV346 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3078]) ).

thf(3097,plain,
    ! [SV923: $i,SV915: $i,SV463: $i,SV346: $i,SV178: $i] :
      ( ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV915 )
           != ( hAPP_val_option_val @ some_val @ SV923 ) ) )
        = $true )
      | ( ( ( SV463 = SV923 )
          | ( ( hAPP_P2094403585on_val @ SV178 @ SV915 )
            = ( hAPP_val_option_val @ some_val @ SV923 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3079]) ).

thf(3098,plain,
    ! [SV178: $i,SV346: $i,SV881: $i,SV896: $i,SV463: $i] :
      ( ( ( SV463 = SV896 )
        = $false )
      | ( ( SV881 = SV346 )
        = $false )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV881 )
          = ( hAPP_val_option_val @ some_val @ SV896 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3080]) ).

thf(3099,plain,
    ! [SV929: $i,SV916: $i,SV464: $i,SV353: $i,SV187: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV916 )
           != ( hAPP_val_option_val @ some_val @ SV929 ) ) )
        = $true )
      | ( ( ( SV916 = SV353 )
          | ( SV916 != SV353 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3084]) ).

thf(3100,plain,
    ! [SV924: $i,SV917: $i,SV464: $i,SV353: $i,SV187: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV917 )
           != ( hAPP_val_option_val @ some_val @ SV924 ) ) )
        = $true )
      | ( ( ( SV917 = SV353 )
          | ( ( hAPP_l207779698on_val @ SV187 @ SV917 )
            = ( hAPP_val_option_val @ some_val @ SV924 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3085]) ).

thf(3101,plain,
    ! [SV925: $i,SV918: $i,SV464: $i,SV353: $i,SV187: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV918 )
           != ( hAPP_val_option_val @ some_val @ SV925 ) ) )
        = $true )
      | ( ( ( SV464 = SV925 )
          | ( SV918 != SV353 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3086]) ).

thf(3102,plain,
    ! [SV926: $i,SV919: $i,SV464: $i,SV353: $i,SV187: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV919 )
           != ( hAPP_val_option_val @ some_val @ SV926 ) ) )
        = $true )
      | ( ( ( SV464 = SV926 )
          | ( ( hAPP_l207779698on_val @ SV187 @ SV919 )
            = ( hAPP_val_option_val @ some_val @ SV926 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3087]) ).

thf(3103,plain,
    ! [SV187: $i,SV353: $i,SV886: $i,SV903: $i,SV464: $i] :
      ( ( ( SV464 = SV903 )
        = $false )
      | ( ( SV886 = SV353 )
        = $false )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV886 )
          = ( hAPP_val_option_val @ some_val @ SV903 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3088]) ).

thf(3104,plain,
    ! [SV930: $i,SV927: $i,SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
           != ( block_list_char @ SV573 @ SV927 @ SV930 ) ) )
        = $true )
      | ( ( SV176 = SV573 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3092]) ).

thf(3105,plain,
    ! [SV931: $i,SV920: $i,SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
           != ( block_list_char @ SV573 @ SV920 @ SV931 ) ) )
        = $true )
      | ( ( SV344 = SV920 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3093]) ).

thf(3106,plain,
    ! [SV928: $i,SV912: $i,SV463: $i,SV346: $i,SV178: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV912 )
          = ( hAPP_val_option_val @ some_val @ SV928 ) )
        = $false )
      | ( ( ( SV912 = SV346 )
          | ( SV912 != SV346 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3094]) ).

thf(3107,plain,
    ! [SV921: $i,SV913: $i,SV463: $i,SV346: $i,SV178: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV913 )
          = ( hAPP_val_option_val @ some_val @ SV921 ) )
        = $false )
      | ( ( ( SV913 = SV346 )
          | ( ( hAPP_P2094403585on_val @ SV178 @ SV913 )
            = ( hAPP_val_option_val @ some_val @ SV921 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3095]) ).

thf(3108,plain,
    ! [SV922: $i,SV914: $i,SV463: $i,SV346: $i,SV178: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV914 )
          = ( hAPP_val_option_val @ some_val @ SV922 ) )
        = $false )
      | ( ( ( SV463 = SV922 )
          | ( SV914 != SV346 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3096]) ).

thf(3109,plain,
    ! [SV923: $i,SV915: $i,SV463: $i,SV346: $i,SV178: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV915 )
          = ( hAPP_val_option_val @ some_val @ SV923 ) )
        = $false )
      | ( ( ( SV463 = SV923 )
          | ( ( hAPP_P2094403585on_val @ SV178 @ SV915 )
            = ( hAPP_val_option_val @ some_val @ SV923 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3097]) ).

thf(3110,plain,
    ! [SV929: $i,SV916: $i,SV464: $i,SV353: $i,SV187: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV916 )
          = ( hAPP_val_option_val @ some_val @ SV929 ) )
        = $false )
      | ( ( ( SV916 = SV353 )
          | ( SV916 != SV353 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3099]) ).

thf(3111,plain,
    ! [SV924: $i,SV917: $i,SV464: $i,SV353: $i,SV187: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV917 )
          = ( hAPP_val_option_val @ some_val @ SV924 ) )
        = $false )
      | ( ( ( SV917 = SV353 )
          | ( ( hAPP_l207779698on_val @ SV187 @ SV917 )
            = ( hAPP_val_option_val @ some_val @ SV924 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3100]) ).

thf(3112,plain,
    ! [SV925: $i,SV918: $i,SV464: $i,SV353: $i,SV187: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV918 )
          = ( hAPP_val_option_val @ some_val @ SV925 ) )
        = $false )
      | ( ( ( SV464 = SV925 )
          | ( SV918 != SV353 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3101]) ).

thf(3113,plain,
    ! [SV926: $i,SV919: $i,SV464: $i,SV353: $i,SV187: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV919 )
          = ( hAPP_val_option_val @ some_val @ SV926 ) )
        = $false )
      | ( ( ( SV464 = SV926 )
          | ( ( hAPP_l207779698on_val @ SV187 @ SV919 )
            = ( hAPP_val_option_val @ some_val @ SV926 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3102]) ).

thf(3114,plain,
    ! [SV930: $i,SV927: $i,SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
          = ( block_list_char @ SV573 @ SV927 @ SV930 ) )
        = $false )
      | ( ( SV176 = SV573 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3104]) ).

thf(3115,plain,
    ! [SV931: $i,SV920: $i,SV573: $i,SV462: $i,SV344: $i,SV176: $i] :
      ( ( ( ( block_list_char @ SV176 @ SV344 @ SV462 )
          = ( block_list_char @ SV573 @ SV920 @ SV931 ) )
        = $false )
      | ( ( SV344 = SV920 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3105]) ).

thf(3116,plain,
    ! [SV928: $i,SV463: $i,SV178: $i,SV346: $i,SV912: $i] :
      ( ( ( SV912 = SV346 )
        = $true )
      | ( ( ( SV912 != SV346 ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV912 )
          = ( hAPP_val_option_val @ some_val @ SV928 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3106]) ).

thf(3117,plain,
    ! [SV463: $i,SV921: $i,SV178: $i,SV346: $i,SV913: $i] :
      ( ( ( SV913 = SV346 )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ SV178 @ SV913 )
          = ( hAPP_val_option_val @ some_val @ SV921 ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV913 )
          = ( hAPP_val_option_val @ some_val @ SV921 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3107]) ).

thf(3118,plain,
    ! [SV178: $i,SV346: $i,SV914: $i,SV922: $i,SV463: $i] :
      ( ( ( SV463 = SV922 )
        = $true )
      | ( ( ( SV914 != SV346 ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV914 )
          = ( hAPP_val_option_val @ some_val @ SV922 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3108]) ).

thf(3119,plain,
    ! [SV346: $i,SV915: $i,SV178: $i,SV923: $i,SV463: $i] :
      ( ( ( SV463 = SV923 )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ SV178 @ SV915 )
          = ( hAPP_val_option_val @ some_val @ SV923 ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV915 )
          = ( hAPP_val_option_val @ some_val @ SV923 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3109]) ).

thf(3120,plain,
    ! [SV929: $i,SV464: $i,SV187: $i,SV353: $i,SV916: $i] :
      ( ( ( SV916 = SV353 )
        = $true )
      | ( ( ( SV916 != SV353 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV916 )
          = ( hAPP_val_option_val @ some_val @ SV929 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3110]) ).

thf(3121,plain,
    ! [SV464: $i,SV924: $i,SV187: $i,SV353: $i,SV917: $i] :
      ( ( ( SV917 = SV353 )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ SV187 @ SV917 )
          = ( hAPP_val_option_val @ some_val @ SV924 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV917 )
          = ( hAPP_val_option_val @ some_val @ SV924 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3111]) ).

thf(3122,plain,
    ! [SV187: $i,SV353: $i,SV918: $i,SV925: $i,SV464: $i] :
      ( ( ( SV464 = SV925 )
        = $true )
      | ( ( ( SV918 != SV353 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV918 )
          = ( hAPP_val_option_val @ some_val @ SV925 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3112]) ).

thf(3123,plain,
    ! [SV353: $i,SV919: $i,SV187: $i,SV926: $i,SV464: $i] :
      ( ( ( SV464 = SV926 )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ SV187 @ SV919 )
          = ( hAPP_val_option_val @ some_val @ SV926 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV919 )
          = ( hAPP_val_option_val @ some_val @ SV926 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3113]) ).

thf(3124,plain,
    ! [SV928: $i,SV463: $i,SV178: $i,SV346: $i,SV912: $i] :
      ( ( ( SV912 = SV346 )
        = $false )
      | ( ( SV912 = SV346 )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV912 )
          = ( hAPP_val_option_val @ some_val @ SV928 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3116]) ).

thf(3125,plain,
    ! [SV178: $i,SV922: $i,SV463: $i,SV346: $i,SV914: $i] :
      ( ( ( SV914 = SV346 )
        = $false )
      | ( ( SV463 = SV922 )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV178 @ SV346 @ ( hAPP_val_option_val @ some_val @ SV463 ) ) @ SV914 )
          = ( hAPP_val_option_val @ some_val @ SV922 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3118]) ).

thf(3126,plain,
    ! [SV929: $i,SV464: $i,SV187: $i,SV353: $i,SV916: $i] :
      ( ( ( SV916 = SV353 )
        = $false )
      | ( ( SV916 = SV353 )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV916 )
          = ( hAPP_val_option_val @ some_val @ SV929 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3120]) ).

thf(3127,plain,
    ! [SV187: $i,SV925: $i,SV464: $i,SV353: $i,SV918: $i] :
      ( ( ( SV918 = SV353 )
        = $false )
      | ( ( SV464 = SV925 )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV187 @ SV353 @ ( hAPP_val_option_val @ some_val @ SV464 ) ) @ SV918 )
          = ( hAPP_val_option_val @ some_val @ SV925 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3122]) ).

thf(3128,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[1171,3127,3126,3125,3124,3123,3121,3119,3117,3115,3114,3103,3098,3091,3090,3089,3083,3082,3081,3075,3074,3073,3069,3068,3067,3066,3042,3032,3031,3030,3029,3026,3025,3024,3015,3014,3013,3008,3007,3006,3005,3004,3001,2997,2996,2986,2983,2977,2965,2959,2946,2933,2922,2909,2907,2906,2903,2900,2899,2897,2896,2891,2890,2889,2888,2887,2886,2885,2883,2875,2867,2866,2865,2847,2846,2845,2841,2840,2839,2838,2837,2832,2825,2824,2821,2818,2812,2810,2809,2808,2805,2804,2797,2796,2794,2786,2784,2783,2774,2773,2772,2770,2769,2761,2757,2749,2742,2739,2728,2727,2726,2720,2715,2714,2704,2703,2694,2693,2690,2689,2684,2681,2680,2669,2668,2665,2664,2657,2654,2648,2647,2646,2641,2637,2636,2633,2632,2624,2623,2620,2619,2618,2609,2604,2603,2600,2599,2598,2597,2595,2589,2568,2567,2566,2556,2547,2546,2448,2447,2441,2440,2439,2438,2436,2435,2428,2426,2409,2408,2402,2314,2307,2291,2290,2289,2288,2286,2284,2283,2282,2281,2279,2278,2276,2275,2274,2272,2264,2244,2237,2236,2233,2232,2152,2122,2121,2120,2119,2117,2116,2108,2107,2106,2105,2102,2098,2096,2090,2083,2082,2067,2066,2060,2054,2053,2052,2048,1975,1974,1968,1954,1928,1927,1919,1913,1894,1866,1790,1789,1788,1787,1728,1727,1726,1725,1724,1723,1722,1721,1720,1719,1718,1717,1716,1715,1714,1713,1712,1711,1710,1709,1708,1707,1706,1705,1702,1700,1699,1698,1670,1651,1640,1639,1596,1503,1497,1496,1466,1451,1450,1449,1448,1447,1446,1443,1442,1435,1284,1283,1174,1172]) ).

thf(3129,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[3128]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWW478+2 : TPTP v8.1.0. Released v5.3.0.
% 0.12/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jun  6 01:04:20 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.74/0.89  ....................
% 15.36/15.54  
% 15.36/15.54   No.of.Axioms: 804
% 15.36/15.54  
% 15.36/15.54   Length.of.Defs: 0
% 15.36/15.54  
% 15.36/15.54   Contains.Choice.Funs: false
% 15.76/15.95  ...............................................
% 17.82/18.05  (rf:2,axioms:215,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:806,loop_count:0,foatp_calls:0,translation:fof_full).................................................................................................................................................................................................................................
% 25.99/26.28  
% 25.99/26.28  ********************************
% 25.99/26.28  *   All subproblems solved!    *
% 25.99/26.28  ********************************
% 25.99/26.28  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:215,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:64,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3128,loop_count:0,foatp_calls:1,translation:fof_full)
% 28.76/28.93  
% 28.76/28.93  %**** Beginning of derivation protocol ****
% 28.76/28.93  % SZS output start CNFRefutation
% See solution above
% 28.76/28.95  
% 28.76/28.95  %**** End of derivation protocol ****
% 28.76/28.95  %**** no. of clauses in derivation: 2540 ****
% 28.76/28.95  %**** clause counter: 3128 ****
% 28.76/28.95  
% 28.76/28.95  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:215,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:64,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3128,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------