TSTP Solution File: SWW478+3 by LEO-II---1.7.0

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SWW478+3 : 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 00:50:41 EDT 2022

% Result   : Theorem 72.12s 72.32s
% Output   : CNFRefutation 76.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      : 1539
% Syntax   : Number of formulae    : 4635 (2601 unt;1188 typ;   0 def)
%            Number of atoms       : 16431 (7253 equ;   0 cnn)
%            Maximal formula atoms :    7 (   4 avg)
%            Number of connectives : 67063 (4549   ~;4166   |; 196   &;57706   @)
%                                         (  64 <=>; 382  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  : 1738 (1738   >;   0   *;   0   +;   0  <<)
%            Number of symbols     : 1191 (1188 usr; 286 con; 0-6 aty)
%            Number of variables   : 13570 (   0   ^13550   !;  20   ?;13570   :)

% 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_append_exp_list_char,type,
    append_exp_list_char: $i > $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 > $i ).

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

thf(tp_blocks,type,
    blocks: $i > $i ).

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

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

thf(tp_cOMBB_1015721476ol_nat,type,
    cOMBB_1015721476ol_nat: $i ).

thf(tp_cOMBB_1033145403t_char,type,
    cOMBB_1033145403t_char: $i ).

thf(tp_cOMBB_1034324152on_val,type,
    cOMBB_1034324152on_val: $i ).

thf(tp_cOMBB_1035649854t_char,type,
    cOMBB_1035649854t_char: $i ).

thf(tp_cOMBB_1078680455on_val,type,
    cOMBB_1078680455on_val: $i ).

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

thf(tp_cOMBB_109816436t_char,type,
    cOMBB_109816436t_char: $i ).

thf(tp_cOMBB_1112666310t_char,type,
    cOMBB_1112666310t_char: $i ).

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

thf(tp_cOMBB_1153773871on_val,type,
    cOMBB_1153773871on_val: $i ).

thf(tp_cOMBB_1200577438t_char,type,
    cOMBB_1200577438t_char: $i ).

thf(tp_cOMBB_1223415373on_val,type,
    cOMBB_1223415373on_val: $i ).

thf(tp_cOMBB_123628846t_char,type,
    cOMBB_123628846t_char: $i ).

thf(tp_cOMBB_1270208498t_char,type,
    cOMBB_1270208498t_char: $i ).

thf(tp_cOMBB_1293776864on_val,type,
    cOMBB_1293776864on_val: $i ).

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

thf(tp_cOMBB_1458388806ol_bop,type,
    cOMBB_1458388806ol_bop: $i ).

thf(tp_cOMBB_147773915t_char,type,
    cOMBB_147773915t_char: $i ).

thf(tp_cOMBB_1490692730t_char,type,
    cOMBB_1490692730t_char: $i ).

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

thf(tp_cOMBB_1520154591t_char,type,
    cOMBB_1520154591t_char: $i ).

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

thf(tp_cOMBB_1551681790t_char,type,
    cOMBB_1551681790t_char: $i ).

thf(tp_cOMBB_1558246132t_char,type,
    cOMBB_1558246132t_char: $i ).

thf(tp_cOMBB_1586673472t_char,type,
    cOMBB_1586673472t_char: $i ).

thf(tp_cOMBB_1617503877on_val,type,
    cOMBB_1617503877on_val: $i ).

thf(tp_cOMBB_1643767893t_char,type,
    cOMBB_1643767893t_char: $i ).

thf(tp_cOMBB_1681501894t_char,type,
    cOMBB_1681501894t_char: $i ).

thf(tp_cOMBB_1701031980ol_val,type,
    cOMBB_1701031980ol_val: $i ).

thf(tp_cOMBB_1705938036t_char,type,
    cOMBB_1705938036t_char: $i ).

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

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

thf(tp_cOMBB_1888336841t_char,type,
    cOMBB_1888336841t_char: $i ).

thf(tp_cOMBB_1977588741on_val,type,
    cOMBB_1977588741on_val: $i ).

thf(tp_cOMBB_2041093409on_val,type,
    cOMBB_2041093409on_val: $i ).

thf(tp_cOMBB_2042763133t_char,type,
    cOMBB_2042763133t_char: $i ).

thf(tp_cOMBB_2078271971st_val,type,
    cOMBB_2078271971st_val: $i ).

thf(tp_cOMBB_2078984970ol_val,type,
    cOMBB_2078984970ol_val: $i ).

thf(tp_cOMBB_2084052674on_val,type,
    cOMBB_2084052674on_val: $i ).

thf(tp_cOMBB_2139740953al_val,type,
    cOMBB_2139740953al_val: $i ).

thf(tp_cOMBB_2143526097t_char,type,
    cOMBB_2143526097t_char: $i ).

thf(tp_cOMBB_308691073st_val,type,
    cOMBB_308691073st_val: $i ).

thf(tp_cOMBB_33167485t_char,type,
    cOMBB_33167485t_char: $i ).

thf(tp_cOMBB_338473166ist_ty,type,
    cOMBB_338473166ist_ty: $i ).

thf(tp_cOMBB_352765746t_char,type,
    cOMBB_352765746t_char: $i ).

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

thf(tp_cOMBB_507006011t_char,type,
    cOMBB_507006011t_char: $i ).

thf(tp_cOMBB_526805108t_char,type,
    cOMBB_526805108t_char: $i ).

thf(tp_cOMBB_550632017t_char,type,
    cOMBB_550632017t_char: $i ).

thf(tp_cOMBB_555068556on_val,type,
    cOMBB_555068556on_val: $i ).

thf(tp_cOMBB_565412073on_val,type,
    cOMBB_565412073on_val: $i ).

thf(tp_cOMBB_565990871t_char,type,
    cOMBB_565990871t_char: $i ).

thf(tp_cOMBB_588525814on_val,type,
    cOMBB_588525814on_val: $i ).

thf(tp_cOMBB_657296617har_ty,type,
    cOMBB_657296617har_ty: $i ).

thf(tp_cOMBB_672864638t_char,type,
    cOMBB_672864638t_char: $i ).

thf(tp_cOMBB_673739729t_char,type,
    cOMBB_673739729t_char: $i ).

thf(tp_cOMBB_68065882ist_ty,type,
    cOMBB_68065882ist_ty: $i ).

thf(tp_cOMBB_705522285on_val,type,
    cOMBB_705522285on_val: $i ).

thf(tp_cOMBB_731867268ol_nat,type,
    cOMBB_731867268ol_nat: $i ).

thf(tp_cOMBB_741416308t_char,type,
    cOMBB_741416308t_char: $i ).

thf(tp_cOMBB_761748254ol_bop,type,
    cOMBB_761748254ol_bop: $i ).

thf(tp_cOMBB_773375802t_char,type,
    cOMBB_773375802t_char: $i ).

thf(tp_cOMBB_773661144t_char,type,
    cOMBB_773661144t_char: $i ).

thf(tp_cOMBB_779086262on_val,type,
    cOMBB_779086262on_val: $i ).

thf(tp_cOMBB_808210516t_char,type,
    cOMBB_808210516t_char: $i ).

thf(tp_cOMBB_815843940ol_val,type,
    cOMBB_815843940ol_val: $i ).

thf(tp_cOMBB_847828016t_char,type,
    cOMBB_847828016t_char: $i ).

thf(tp_cOMBB_859890145har_ty,type,
    cOMBB_859890145har_ty: $i ).

thf(tp_cOMBB_864319000t_char,type,
    cOMBB_864319000t_char: $i ).

thf(tp_cOMBB_961360819t_char,type,
    cOMBB_961360819t_char: $i ).

thf(tp_cOMBB_984708934t_char,type,
    cOMBB_984708934t_char: $i ).

thf(tp_cOMBB_985659173on_val,type,
    cOMBB_985659173on_val: $i ).

thf(tp_cOMBB_bool_bool_nat,type,
    cOMBB_bool_bool_nat: $i ).

thf(tp_cOMBC_1021753250l_bool,type,
    cOMBC_1021753250l_bool: $i ).

thf(tp_cOMBC_1025440566r_bool,type,
    cOMBC_1025440566r_bool: $i ).

thf(tp_cOMBC_1127703214r_bool,type,
    cOMBC_1127703214r_bool: $i ).

thf(tp_cOMBC_1297648632l_bool,type,
    cOMBC_1297648632l_bool: $i ).

thf(tp_cOMBC_1317565126l_bool,type,
    cOMBC_1317565126l_bool: $i ).

thf(tp_cOMBC_1338332465l_bool,type,
    cOMBC_1338332465l_bool: $i ).

thf(tp_cOMBC_1365742487l_bool,type,
    cOMBC_1365742487l_bool: $i ).

thf(tp_cOMBC_1387630958r_bool,type,
    cOMBC_1387630958r_bool: $i ).

thf(tp_cOMBC_1407716098l_bool,type,
    cOMBC_1407716098l_bool: $i ).

thf(tp_cOMBC_148995234l_bool,type,
    cOMBC_148995234l_bool: $i ).

thf(tp_cOMBC_1491642377l_bool,type,
    cOMBC_1491642377l_bool: $i ).

thf(tp_cOMBC_1518234801l_bool,type,
    cOMBC_1518234801l_bool: $i ).

thf(tp_cOMBC_1535683812l_bool,type,
    cOMBC_1535683812l_bool: $i ).

thf(tp_cOMBC_1585774710l_bool,type,
    cOMBC_1585774710l_bool: $i ).

thf(tp_cOMBC_1603044337l_bool,type,
    cOMBC_1603044337l_bool: $i ).

thf(tp_cOMBC_1608987946l_bool,type,
    cOMBC_1608987946l_bool: $i ).

thf(tp_cOMBC_1718404842r_bool,type,
    cOMBC_1718404842r_bool: $i ).

thf(tp_cOMBC_1784597444r_bool,type,
    cOMBC_1784597444r_bool: $i ).

thf(tp_cOMBC_1979963740l_bool,type,
    cOMBC_1979963740l_bool: $i ).

thf(tp_cOMBC_199425070l_bool,type,
    cOMBC_199425070l_bool: $i ).

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

thf(tp_cOMBC_2141828763l_bool,type,
    cOMBC_2141828763l_bool: $i ).

thf(tp_cOMBC_220519196l_bool,type,
    cOMBC_220519196l_bool: $i ).

thf(tp_cOMBC_226598744l_bool,type,
    cOMBC_226598744l_bool: $i ).

thf(tp_cOMBC_229530231l_bool,type,
    cOMBC_229530231l_bool: $i ).

thf(tp_cOMBC_317789649l_bool,type,
    cOMBC_317789649l_bool: $i ).

thf(tp_cOMBC_331963401l_bool,type,
    cOMBC_331963401l_bool: $i ).

thf(tp_cOMBC_36589090l_bool,type,
    cOMBC_36589090l_bool: $i ).

thf(tp_cOMBC_389248878r_bool,type,
    cOMBC_389248878r_bool: $i ).

thf(tp_cOMBC_390659185l_bool,type,
    cOMBC_390659185l_bool: $i ).

thf(tp_cOMBC_407285762l_bool,type,
    cOMBC_407285762l_bool: $i ).

thf(tp_cOMBC_442485623l_bool,type,
    cOMBC_442485623l_bool: $i ).

thf(tp_cOMBC_475083938l_bool,type,
    cOMBC_475083938l_bool: $i ).

thf(tp_cOMBC_516637475l_bool,type,
    cOMBC_516637475l_bool: $i ).

thf(tp_cOMBC_562612496l_bool,type,
    cOMBC_562612496l_bool: $i ).

thf(tp_cOMBC_622308798l_bool,type,
    cOMBC_622308798l_bool: $i ).

thf(tp_cOMBC_654453230r_bool,type,
    cOMBC_654453230r_bool: $i ).

thf(tp_cOMBC_766524526l_bool,type,
    cOMBC_766524526l_bool: $i ).

thf(tp_cOMBC_790582442r_bool,type,
    cOMBC_790582442r_bool: $i ).

thf(tp_cOMBC_813705475l_bool,type,
    cOMBC_813705475l_bool: $i ).

thf(tp_cOMBC_818212448l_bool,type,
    cOMBC_818212448l_bool: $i ).

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

thf(tp_cOMBC_886773442r_bool,type,
    cOMBC_886773442r_bool: $i ).

thf(tp_cOMBC_892477410l_bool,type,
    cOMBC_892477410l_bool: $i ).

thf(tp_cOMBC_967917532l_bool,type,
    cOMBC_967917532l_bool: $i ).

thf(tp_cOMBK_1097134891t_char,type,
    cOMBK_1097134891t_char: $i ).

thf(tp_cOMBK_1294242658t_char,type,
    cOMBK_1294242658t_char: $i ).

thf(tp_cOMBK_184479553on_val,type,
    cOMBK_184479553on_val: $i ).

thf(tp_cOMBK_1867744698t_char,type,
    cOMBK_1867744698t_char: $i ).

thf(tp_cOMBK_1944287343al_nat,type,
    cOMBK_1944287343al_nat: $i ).

thf(tp_cOMBS_1218320756l_bool,type,
    cOMBS_1218320756l_bool: $i > $i > $i ).

thf(tp_cOMBS_1319864284l_bool,type,
    cOMBS_1319864284l_bool: $i > $i > $i ).

thf(tp_cOMBS_1502238389l_bool,type,
    cOMBS_1502238389l_bool: $i > $i > $i ).

thf(tp_cOMBS_1743887558l_bool,type,
    cOMBS_1743887558l_bool: $i > $i > $i ).

thf(tp_cOMBS_350755140l_bool,type,
    cOMBS_350755140l_bool: $i > $i > $i ).

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

thf(tp_cOMBS_635570165l_bool,type,
    cOMBS_635570165l_bool: $i > $i > $i ).

thf(tp_cOMBS_nat_bool_bool,type,
    cOMBS_nat_bool_bool: $i > $i > $i ).

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

thf(tp_call_list_char,type,
    call_list_char: $i > $i > $i > $i ).

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

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

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

thf(tp_collec1387638140t_char,type,
    collec1387638140t_char: $i > $i ).

thf(tp_collec1583467887t_char,type,
    collec1583467887t_char: $i > $i ).

thf(tp_collec1797130234t_char,type,
    collec1797130234t_char: $i > $i ).

thf(tp_collec2087910442on_val,type,
    collec2087910442on_val: $i > $i ).

thf(tp_collec718040978on_val,type,
    collec718040978on_val: $i > $i ).

thf(tp_collect_list_char,type,
    collect_list_char: $i > $i ).

thf(tp_collect_nat,type,
    collect_nat: $i > $i ).

thf(tp_comp_o1129292306t_char,type,
    comp_o1129292306t_char: $i > $i > $i ).

thf(tp_cond_list_char,type,
    cond_list_char: $i > $i > $i > $i ).

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

thf(tp_cons_exp_list_char,type,
    cons_exp_list_char: $i > $i > $i ).

thf(tp_cons_list_char,type,
    cons_list_char: $i > $i > $i ).

thf(tp_cons_ty,type,
    cons_ty: $i > $i > $i ).

thf(tp_cons_val,type,
    cons_val: $i > $i > $i ).

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

thf(tp_distinct_list_char,type,
    distinct_list_char: $i > $i ).

thf(tp_dom_Pr695701035ar_val,type,
    dom_Pr695701035ar_val: $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_na996029170on_val,type,
    dom_na996029170on_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_evals,type,
    evals: $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_fNot,type,
    fNot: $i ).

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

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

thf(tp_fdisj,type,
    fdisj: $i ).

thf(tp_fequal1937332960on_val,type,
    fequal1937332960on_val: $i ).

thf(tp_fequal_option_val,type,
    fequal_option_val: $i ).

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

thf(tp_fields1147507508t_char,type,
    fields1147507508t_char: $i > $i > $i > $i ).

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

thf(tp_finals_list_char,type,
    finals_list_char: $i > $i ).

thf(tp_fun_up1149430426on_val,type,
    fun_up1149430426on_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_up424764369ion_ty,type,
    fun_up424764369ion_ty: $i > $i > $i > $i ).

thf(tp_fv,type,
    fv: $i > $i ).

thf(tp_fvs,type,
    fvs: $i > $i ).

thf(tp_hAPP_P1002912327r_bool,type,
    hAPP_P1002912327r_bool: $i > $i > $i ).

thf(tp_hAPP_P1019319281l_bool,type,
    hAPP_P1019319281l_bool: $i > $i > $i ).

thf(tp_hAPP_P1033205013l_bool,type,
    hAPP_P1033205013l_bool: $i > $i > $i ).

thf(tp_hAPP_P1034346913l_bool,type,
    hAPP_P1034346913l_bool: $i > $i > $i ).

thf(tp_hAPP_P1071727823t_char,type,
    hAPP_P1071727823t_char: $i > $i > $i ).

thf(tp_hAPP_P1085566419p_bool,type,
    hAPP_P1085566419p_bool: $i > $i > $i ).

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

thf(tp_hAPP_P1180869721l_bool,type,
    hAPP_P1180869721l_bool: $i > $i > $i ).

thf(tp_hAPP_P1183008383l_bool,type,
    hAPP_P1183008383l_bool: $i > $i > $i ).

thf(tp_hAPP_P1183499705r_bool,type,
    hAPP_P1183499705r_bool: $i > $i > $i ).

thf(tp_hAPP_P1187139874r_bool,type,
    hAPP_P1187139874r_bool: $i > $i > $i ).

thf(tp_hAPP_P1198052655l_bool,type,
    hAPP_P1198052655l_bool: $i > $i > $i ).

thf(tp_hAPP_P1217996045l_bool,type,
    hAPP_P1217996045l_bool: $i > $i > $i ).

thf(tp_hAPP_P1220989409t_char,type,
    hAPP_P1220989409t_char: $i > $i > $i ).

thf(tp_hAPP_P1221872711l_bool,type,
    hAPP_P1221872711l_bool: $i > $i > $i ).

thf(tp_hAPP_P1224499548t_char,type,
    hAPP_P1224499548t_char: $i > $i > $i ).

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

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

thf(tp_hAPP_P1240100515r_bool,type,
    hAPP_P1240100515r_bool: $i > $i > $i ).

thf(tp_hAPP_P124632071l_bool,type,
    hAPP_P124632071l_bool: $i > $i > $i ).

thf(tp_hAPP_P124661l_bool,type,
    hAPP_P124661l_bool: $i > $i > $i ).

thf(tp_hAPP_P1247668062t_char,type,
    hAPP_P1247668062t_char: $i > $i > $i ).

thf(tp_hAPP_P126004409l_bool,type,
    hAPP_P126004409l_bool: $i > $i > $i ).

thf(tp_hAPP_P1293136973l_bool,type,
    hAPP_P1293136973l_bool: $i > $i > $i ).

thf(tp_hAPP_P1303341961l_bool,type,
    hAPP_P1303341961l_bool: $i > $i > $i ).

thf(tp_hAPP_P1313790473l_bool,type,
    hAPP_P1313790473l_bool: $i > $i > $i ).

thf(tp_hAPP_P1327510541l_bool,type,
    hAPP_P1327510541l_bool: $i > $i > $i ).

thf(tp_hAPP_P1333315679l_bool,type,
    hAPP_P1333315679l_bool: $i > $i > $i ).

thf(tp_hAPP_P1333668416t_char,type,
    hAPP_P1333668416t_char: $i > $i > $i ).

thf(tp_hAPP_P1342907945t_char,type,
    hAPP_P1342907945t_char: $i > $i > $i ).

thf(tp_hAPP_P1362631157l_bool,type,
    hAPP_P1362631157l_bool: $i > $i > $i ).

thf(tp_hAPP_P1383068750l_bool,type,
    hAPP_P1383068750l_bool: $i > $i > $i ).

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

thf(tp_hAPP_P1390376713l_bool,type,
    hAPP_P1390376713l_bool: $i > $i > $i ).

thf(tp_hAPP_P1392904962t_char,type,
    hAPP_P1392904962t_char: $i > $i > $i ).

thf(tp_hAPP_P1402001845l_bool,type,
    hAPP_P1402001845l_bool: $i > $i > $i ).

thf(tp_hAPP_P1418247892l_bool,type,
    hAPP_P1418247892l_bool: $i > $i > $i ).

thf(tp_hAPP_P1423780764t_char,type,
    hAPP_P1423780764t_char: $i > $i > $i ).

thf(tp_hAPP_P1457625805l_bool,type,
    hAPP_P1457625805l_bool: $i > $i > $i ).

thf(tp_hAPP_P1472618637l_bool,type,
    hAPP_P1472618637l_bool: $i > $i > $i ).

thf(tp_hAPP_P1486793863on_val,type,
    hAPP_P1486793863on_val: $i > $i > $i ).

thf(tp_hAPP_P1503283977l_bool,type,
    hAPP_P1503283977l_bool: $i > $i > $i ).

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

thf(tp_hAPP_P1517699917l_bool,type,
    hAPP_P1517699917l_bool: $i > $i > $i ).

thf(tp_hAPP_P1526035745on_val,type,
    hAPP_P1526035745on_val: $i > $i > $i ).

thf(tp_hAPP_P153687689l_bool,type,
    hAPP_P153687689l_bool: $i > $i > $i ).

thf(tp_hAPP_P1538518401al_val,type,
    hAPP_P1538518401al_val: $i > $i > $i ).

thf(tp_hAPP_P1539798428t_char,type,
    hAPP_P1539798428t_char: $i > $i > $i ).

thf(tp_hAPP_P1552072218l_bool,type,
    hAPP_P1552072218l_bool: $i > $i > $i ).

thf(tp_hAPP_P1562529797l_bool,type,
    hAPP_P1562529797l_bool: $i > $i > $i ).

thf(tp_hAPP_P1574824955y_bool,type,
    hAPP_P1574824955y_bool: $i > $i > $i ).

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

thf(tp_hAPP_P1609485901l_bool,type,
    hAPP_P1609485901l_bool: $i > $i > $i ).

thf(tp_hAPP_P1614880106l_bool,type,
    hAPP_P1614880106l_bool: $i > $i > $i ).

thf(tp_hAPP_P1632759357r_bool,type,
    hAPP_P1632759357r_bool: $i > $i > $i ).

thf(tp_hAPP_P1653675595l_bool,type,
    hAPP_P1653675595l_bool: $i > $i > $i ).

thf(tp_hAPP_P1657265855t_char,type,
    hAPP_P1657265855t_char: $i > $i > $i ).

thf(tp_hAPP_P1661798543t_char,type,
    hAPP_P1661798543t_char: $i > $i > $i ).

thf(tp_hAPP_P1668407995t_char,type,
    hAPP_P1668407995t_char: $i > $i > $i ).

thf(tp_hAPP_P1679186017l_bool,type,
    hAPP_P1679186017l_bool: $i > $i > $i ).

thf(tp_hAPP_P1680401186r_bool,type,
    hAPP_P1680401186r_bool: $i > $i > $i ).

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

thf(tp_hAPP_P1756548163t_char,type,
    hAPP_P1756548163t_char: $i > $i > $i ).

thf(tp_hAPP_P1758592847on_val,type,
    hAPP_P1758592847on_val: $i > $i > $i ).

thf(tp_hAPP_P1859316965t_char,type,
    hAPP_P1859316965t_char: $i > $i > $i ).

thf(tp_hAPP_P1860450421l_bool,type,
    hAPP_P1860450421l_bool: $i > $i > $i ).

thf(tp_hAPP_P1862681481l_bool,type,
    hAPP_P1862681481l_bool: $i > $i > $i ).

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

thf(tp_hAPP_P1874979071al_val,type,
    hAPP_P1874979071al_val: $i > $i > $i ).

thf(tp_hAPP_P1875010047on_val,type,
    hAPP_P1875010047on_val: $i > $i > $i ).

thf(tp_hAPP_P1878549513l_bool,type,
    hAPP_P1878549513l_bool: $i > $i > $i ).

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

thf(tp_hAPP_P1907982426r_bool,type,
    hAPP_P1907982426r_bool: $i > $i > $i ).

thf(tp_hAPP_P1926698759r_bool,type,
    hAPP_P1926698759r_bool: $i > $i > $i ).

thf(tp_hAPP_P1953134729l_bool,type,
    hAPP_P1953134729l_bool: $i > $i > $i ).

thf(tp_hAPP_P1958775007t_char,type,
    hAPP_P1958775007t_char: $i > $i > $i ).

thf(tp_hAPP_P1963616220on_val,type,
    hAPP_P1963616220on_val: $i > $i > $i ).

thf(tp_hAPP_P2010574925r_bool,type,
    hAPP_P2010574925r_bool: $i > $i > $i ).

thf(tp_hAPP_P2014166431r_bool,type,
    hAPP_P2014166431r_bool: $i > $i > $i ).

thf(tp_hAPP_P2015431471on_val,type,
    hAPP_P2015431471on_val: $i > $i > $i ).

thf(tp_hAPP_P2015860941l_bool,type,
    hAPP_P2015860941l_bool: $i > $i > $i ).

thf(tp_hAPP_P2028072621l_bool,type,
    hAPP_P2028072621l_bool: $i > $i > $i ).

thf(tp_hAPP_P2028292026l_bool,type,
    hAPP_P2028292026l_bool: $i > $i > $i ).

thf(tp_hAPP_P2053453961y_bool,type,
    hAPP_P2053453961y_bool: $i > $i > $i ).

thf(tp_hAPP_P205570445l_bool,type,
    hAPP_P205570445l_bool: $i > $i > $i ).

thf(tp_hAPP_P2077211775on_val,type,
    hAPP_P2077211775on_val: $i > $i > $i ).

thf(tp_hAPP_P2077557811l_bool,type,
    hAPP_P2077557811l_bool: $i > $i > $i ).

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

thf(tp_hAPP_P2115985549l_bool,type,
    hAPP_P2115985549l_bool: $i > $i > $i ).

thf(tp_hAPP_P2118621157r_bool,type,
    hAPP_P2118621157r_bool: $i > $i > $i ).

thf(tp_hAPP_P2123002749l_bool,type,
    hAPP_P2123002749l_bool: $i > $i > $i ).

thf(tp_hAPP_P2123720426al_val,type,
    hAPP_P2123720426al_val: $i > $i > $i ).

thf(tp_hAPP_P2139822957l_bool,type,
    hAPP_P2139822957l_bool: $i > $i > $i ).

thf(tp_hAPP_P240409993l_bool,type,
    hAPP_P240409993l_bool: $i > $i > $i ).

thf(tp_hAPP_P242904598t_char,type,
    hAPP_P242904598t_char: $i > $i > $i ).

thf(tp_hAPP_P265246237on_val,type,
    hAPP_P265246237on_val: $i > $i > $i ).

thf(tp_hAPP_P274544981l_bool,type,
    hAPP_P274544981l_bool: $i > $i > $i ).

thf(tp_hAPP_P27757617y_bool,type,
    hAPP_P27757617y_bool: $i > $i > $i ).

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

thf(tp_hAPP_P291613419on_val,type,
    hAPP_P291613419on_val: $i > $i > $i ).

thf(tp_hAPP_P325013257l_bool,type,
    hAPP_P325013257l_bool: $i > $i > $i ).

thf(tp_hAPP_P330218428on_val,type,
    hAPP_P330218428on_val: $i > $i > $i ).

thf(tp_hAPP_P378063101l_bool,type,
    hAPP_P378063101l_bool: $i > $i > $i ).

thf(tp_hAPP_P396425609l_bool,type,
    hAPP_P396425609l_bool: $i > $i > $i ).

thf(tp_hAPP_P409642305l_bool,type,
    hAPP_P409642305l_bool: $i > $i > $i ).

thf(tp_hAPP_P415257547l_bool,type,
    hAPP_P415257547l_bool: $i > $i > $i ).

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

thf(tp_hAPP_P468446343l_bool,type,
    hAPP_P468446343l_bool: $i > $i > $i ).

thf(tp_hAPP_P476431815r_bool,type,
    hAPP_P476431815r_bool: $i > $i > $i ).

thf(tp_hAPP_P47773639al_val,type,
    hAPP_P47773639al_val: $i > $i > $i ).

thf(tp_hAPP_P483670507l_bool,type,
    hAPP_P483670507l_bool: $i > $i > $i ).

thf(tp_hAPP_P499022727r_bool,type,
    hAPP_P499022727r_bool: $i > $i > $i ).

thf(tp_hAPP_P502294281l_bool,type,
    hAPP_P502294281l_bool: $i > $i > $i ).

thf(tp_hAPP_P504978887l_bool,type,
    hAPP_P504978887l_bool: $i > $i > $i ).

thf(tp_hAPP_P527298901l_bool,type,
    hAPP_P527298901l_bool: $i > $i > $i ).

thf(tp_hAPP_P530382601l_bool,type,
    hAPP_P530382601l_bool: $i > $i > $i ).

thf(tp_hAPP_P53416969l_bool,type,
    hAPP_P53416969l_bool: $i > $i > $i ).

thf(tp_hAPP_P569585933l_bool,type,
    hAPP_P569585933l_bool: $i > $i > $i ).

thf(tp_hAPP_P579374437t_char,type,
    hAPP_P579374437t_char: $i > $i > $i ).

thf(tp_hAPP_P594889876l_bool,type,
    hAPP_P594889876l_bool: $i > $i > $i ).

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

thf(tp_hAPP_P609938901l_bool,type,
    hAPP_P609938901l_bool: $i > $i > $i ).

thf(tp_hAPP_P638161699l_bool,type,
    hAPP_P638161699l_bool: $i > $i > $i ).

thf(tp_hAPP_P658340954on_val,type,
    hAPP_P658340954on_val: $i > $i > $i ).

thf(tp_hAPP_P659547099r_bool,type,
    hAPP_P659547099r_bool: $i > $i > $i ).

thf(tp_hAPP_P7095645l_bool,type,
    hAPP_P7095645l_bool: $i > $i > $i ).

thf(tp_hAPP_P71593144l_bool,type,
    hAPP_P71593144l_bool: $i > $i > $i ).

thf(tp_hAPP_P719127871t_char,type,
    hAPP_P719127871t_char: $i > $i > $i ).

thf(tp_hAPP_P738987199l_bool,type,
    hAPP_P738987199l_bool: $i > $i > $i ).

thf(tp_hAPP_P748443392y_bool,type,
    hAPP_P748443392y_bool: $i > $i > $i ).

thf(tp_hAPP_P76086873l_bool,type,
    hAPP_P76086873l_bool: $i > $i > $i ).

thf(tp_hAPP_P767818445t_char,type,
    hAPP_P767818445t_char: $i > $i > $i ).

thf(tp_hAPP_P768428603l_bool,type,
    hAPP_P768428603l_bool: $i > $i > $i ).

thf(tp_hAPP_P777914897t_char,type,
    hAPP_P777914897t_char: $i > $i > $i ).

thf(tp_hAPP_P780018708l_bool,type,
    hAPP_P780018708l_bool: $i > $i > $i ).

thf(tp_hAPP_P786771093l_bool,type,
    hAPP_P786771093l_bool: $i > $i > $i ).

thf(tp_hAPP_P801803911r_bool,type,
    hAPP_P801803911r_bool: $i > $i > $i ).

thf(tp_hAPP_P824029447r_bool,type,
    hAPP_P824029447r_bool: $i > $i > $i ).

thf(tp_hAPP_P827589667har_ty,type,
    hAPP_P827589667har_ty: $i > $i > $i ).

thf(tp_hAPP_P828904212r_bool,type,
    hAPP_P828904212r_bool: $i > $i > $i ).

thf(tp_hAPP_P845017029l_bool,type,
    hAPP_P845017029l_bool: $i > $i > $i ).

thf(tp_hAPP_P88824722l_bool,type,
    hAPP_P88824722l_bool: $i > $i > $i ).

thf(tp_hAPP_P895943837l_bool,type,
    hAPP_P895943837l_bool: $i > $i > $i ).

thf(tp_hAPP_P91410073t_char,type,
    hAPP_P91410073t_char: $i > $i > $i ).

thf(tp_hAPP_P92196306r_bool,type,
    hAPP_P92196306r_bool: $i > $i > $i ).

thf(tp_hAPP_P929449287r_bool,type,
    hAPP_P929449287r_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_P943837928l_bool,type,
    hAPP_P943837928l_bool: $i > $i > $i ).

thf(tp_hAPP_P975284999r_bool,type,
    hAPP_P975284999r_bool: $i > $i > $i ).

thf(tp_hAPP_P976433298t_char,type,
    hAPP_P976433298t_char: $i > $i > $i ).

thf(tp_hAPP_P982127993l_bool,type,
    hAPP_P982127993l_bool: $i > $i > $i ).

thf(tp_hAPP_P991802092t_char,type,
    hAPP_P991802092t_char: $i > $i > $i ).

thf(tp_hAPP_P998768845l_bool,type,
    hAPP_P998768845l_bool: $i > $i > $i ).

thf(tp_hAPP_b1058859669op_bop,type,
    hAPP_b1058859669op_bop: $i > $i > $i ).

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

thf(tp_hAPP_b1257035143l_bool,type,
    hAPP_b1257035143l_bool: $i > $i > $i ).

thf(tp_hAPP_b1909667208op_bop,type,
    hAPP_b1909667208op_bop: $i > $i > $i ).

thf(tp_hAPP_b406740087l_bool,type,
    hAPP_b406740087l_bool: $i > $i > $i ).

thf(tp_hAPP_b589554111l_bool,type,
    hAPP_b589554111l_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_e1303556805l_bool,type,
    hAPP_e1303556805l_bool: $i > $i > $i ).

thf(tp_hAPP_e1376201919t_char,type,
    hAPP_e1376201919t_char: $i > $i > $i ).

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

thf(tp_hAPP_e1705922617l_bool,type,
    hAPP_e1705922617l_bool: $i > $i > $i ).

thf(tp_hAPP_e1752110927t_char,type,
    hAPP_e1752110927t_char: $i > $i > $i ).

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

thf(tp_hAPP_e286792811l_bool,type,
    hAPP_e286792811l_bool: $i > $i > $i ).

thf(tp_hAPP_e53687815l_bool,type,
    hAPP_e53687815l_bool: $i > $i > $i ).

thf(tp_hAPP_e544220455r_bool,type,
    hAPP_e544220455r_bool: $i > $i > $i ).

thf(tp_hAPP_e817857447t_char,type,
    hAPP_e817857447t_char: $i > $i > $i ).

thf(tp_hAPP_e952791821t_char,type,
    hAPP_e952791821t_char: $i > $i > $i ).

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

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

thf(tp_hAPP_f101237475l_bool,type,
    hAPP_f101237475l_bool: $i > $i > $i ).

thf(tp_hAPP_f102021095r_bool,type,
    hAPP_f102021095r_bool: $i > $i > $i ).

thf(tp_hAPP_f1020753317r_bool,type,
    hAPP_f1020753317r_bool: $i > $i > $i ).

thf(tp_hAPP_f1032444159r_bool,type,
    hAPP_f1032444159r_bool: $i > $i > $i ).

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

thf(tp_hAPP_f1044627221r_bool,type,
    hAPP_f1044627221r_bool: $i > $i > $i ).

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

thf(tp_hAPP_f1051205629r_bool,type,
    hAPP_f1051205629r_bool: $i > $i > $i ).

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

thf(tp_hAPP_f1080886329l_bool,type,
    hAPP_f1080886329l_bool: $i > $i > $i ).

thf(tp_hAPP_f108089737r_bool,type,
    hAPP_f108089737r_bool: $i > $i > $i ).

thf(tp_hAPP_f1082373989l_bool,type,
    hAPP_f1082373989l_bool: $i > $i > $i ).

thf(tp_hAPP_f1089788553l_bool,type,
    hAPP_f1089788553l_bool: $i > $i > $i ).

thf(tp_hAPP_f1094343359l_bool,type,
    hAPP_f1094343359l_bool: $i > $i > $i ).

thf(tp_hAPP_f1099622285l_bool,type,
    hAPP_f1099622285l_bool: $i > $i > $i ).

thf(tp_hAPP_f1100052969l_bool,type,
    hAPP_f1100052969l_bool: $i > $i > $i ).

thf(tp_hAPP_f1107475085l_bool,type,
    hAPP_f1107475085l_bool: $i > $i > $i ).

thf(tp_hAPP_f1118567467l_bool,type,
    hAPP_f1118567467l_bool: $i > $i > $i ).

thf(tp_hAPP_f112056853r_bool,type,
    hAPP_f112056853r_bool: $i > $i > $i ).

thf(tp_hAPP_f1134248971r_bool,type,
    hAPP_f1134248971r_bool: $i > $i > $i ).

thf(tp_hAPP_f1134950784l_bool,type,
    hAPP_f1134950784l_bool: $i > $i > $i ).

thf(tp_hAPP_f1135930489l_bool,type,
    hAPP_f1135930489l_bool: $i > $i > $i ).

thf(tp_hAPP_f1136362289l_bool,type,
    hAPP_f1136362289l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f1145574243l_bool,type,
    hAPP_f1145574243l_bool: $i > $i > $i ).

thf(tp_hAPP_f1146435765on_val,type,
    hAPP_f1146435765on_val: $i > $i > $i ).

thf(tp_hAPP_f1146629647l_bool,type,
    hAPP_f1146629647l_bool: $i > $i > $i ).

thf(tp_hAPP_f1149562121l_bool,type,
    hAPP_f1149562121l_bool: $i > $i > $i ).

thf(tp_hAPP_f1157863905l_bool,type,
    hAPP_f1157863905l_bool: $i > $i > $i ).

thf(tp_hAPP_f1161798306l_bool,type,
    hAPP_f1161798306l_bool: $i > $i > $i ).

thf(tp_hAPP_f1163760061l_bool,type,
    hAPP_f1163760061l_bool: $i > $i > $i ).

thf(tp_hAPP_f1166017719l_bool,type,
    hAPP_f1166017719l_bool: $i > $i > $i ).

thf(tp_hAPP_f1168269397l_bool,type,
    hAPP_f1168269397l_bool: $i > $i > $i ).

thf(tp_hAPP_f1169733153l_bool,type,
    hAPP_f1169733153l_bool: $i > $i > $i ).

thf(tp_hAPP_f1174637065l_bool,type,
    hAPP_f1174637065l_bool: $i > $i > $i ).

thf(tp_hAPP_f1175362209l_bool,type,
    hAPP_f1175362209l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f1200025813l_bool,type,
    hAPP_f1200025813l_bool: $i > $i > $i ).

thf(tp_hAPP_f1204100177l_bool,type,
    hAPP_f1204100177l_bool: $i > $i > $i ).

thf(tp_hAPP_f1209019955r_bool,type,
    hAPP_f1209019955r_bool: $i > $i > $i ).

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

thf(tp_hAPP_f1233028029l_bool,type,
    hAPP_f1233028029l_bool: $i > $i > $i ).

thf(tp_hAPP_f1239832973l_bool,type,
    hAPP_f1239832973l_bool: $i > $i > $i ).

thf(tp_hAPP_f1243585741ion_ty,type,
    hAPP_f1243585741ion_ty: $i > $i > $i ).

thf(tp_hAPP_f1250221913l_bool,type,
    hAPP_f1250221913l_bool: $i > $i > $i ).

thf(tp_hAPP_f126136681l_bool,type,
    hAPP_f126136681l_bool: $i > $i > $i ).

thf(tp_hAPP_f1261741735l_bool,type,
    hAPP_f1261741735l_bool: $i > $i > $i ).

thf(tp_hAPP_f126445617l_bool,type,
    hAPP_f126445617l_bool: $i > $i > $i ).

thf(tp_hAPP_f1297673713l_bool,type,
    hAPP_f1297673713l_bool: $i > $i > $i ).

thf(tp_hAPP_f1298720864r_bool,type,
    hAPP_f1298720864r_bool: $i > $i > $i ).

thf(tp_hAPP_f1314764175l_bool,type,
    hAPP_f1314764175l_bool: $i > $i > $i ).

thf(tp_hAPP_f1317381998l_bool,type,
    hAPP_f1317381998l_bool: $i > $i > $i ).

thf(tp_hAPP_f133320957r_bool,type,
    hAPP_f133320957r_bool: $i > $i > $i ).

thf(tp_hAPP_f1335946228l_bool,type,
    hAPP_f1335946228l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f1365840271l_bool,type,
    hAPP_f1365840271l_bool: $i > $i > $i ).

thf(tp_hAPP_f1367982615r_bool,type,
    hAPP_f1367982615r_bool: $i > $i > $i ).

thf(tp_hAPP_f1370205989l_bool,type,
    hAPP_f1370205989l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f1374595987l_bool,type,
    hAPP_f1374595987l_bool: $i > $i > $i ).

thf(tp_hAPP_f1394668591l_bool,type,
    hAPP_f1394668591l_bool: $i > $i > $i ).

thf(tp_hAPP_f1406462375l_bool,type,
    hAPP_f1406462375l_bool: $i > $i > $i ).

thf(tp_hAPP_f1407048615l_bool,type,
    hAPP_f1407048615l_bool: $i > $i > $i ).

thf(tp_hAPP_f1409772418l_bool,type,
    hAPP_f1409772418l_bool: $i > $i > $i ).

thf(tp_hAPP_f1410576713r_bool,type,
    hAPP_f1410576713r_bool: $i > $i > $i ).

thf(tp_hAPP_f1419180947r_bool,type,
    hAPP_f1419180947r_bool: $i > $i > $i ).

thf(tp_hAPP_f1427871743l_bool,type,
    hAPP_f1427871743l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f144783951l_bool,type,
    hAPP_f144783951l_bool: $i > $i > $i ).

thf(tp_hAPP_f1449341487r_bool,type,
    hAPP_f1449341487r_bool: $i > $i > $i ).

thf(tp_hAPP_f1450446905l_bool,type,
    hAPP_f1450446905l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f1453283057l_bool,type,
    hAPP_f1453283057l_bool: $i > $i > $i ).

thf(tp_hAPP_f1466436665r_bool,type,
    hAPP_f1466436665r_bool: $i > $i > $i ).

thf(tp_hAPP_f1467537159l_bool,type,
    hAPP_f1467537159l_bool: $i > $i > $i ).

thf(tp_hAPP_f1472899487l_bool,type,
    hAPP_f1472899487l_bool: $i > $i > $i ).

thf(tp_hAPP_f1475571983l_bool,type,
    hAPP_f1475571983l_bool: $i > $i > $i ).

thf(tp_hAPP_f1484794973r_bool,type,
    hAPP_f1484794973r_bool: $i > $i > $i ).

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

thf(tp_hAPP_f1500560577r_bool,type,
    hAPP_f1500560577r_bool: $i > $i > $i ).

thf(tp_hAPP_f1510763001l_bool,type,
    hAPP_f1510763001l_bool: $i > $i > $i ).

thf(tp_hAPP_f1520735791l_bool,type,
    hAPP_f1520735791l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f1525114763l_bool,type,
    hAPP_f1525114763l_bool: $i > $i > $i ).

thf(tp_hAPP_f1526206996l_bool,type,
    hAPP_f1526206996l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f1563448447r_bool,type,
    hAPP_f1563448447r_bool: $i > $i > $i ).

thf(tp_hAPP_f1564338425l_bool,type,
    hAPP_f1564338425l_bool: $i > $i > $i ).

thf(tp_hAPP_f156692813l_bool,type,
    hAPP_f156692813l_bool: $i > $i > $i ).

thf(tp_hAPP_f1579743228l_bool,type,
    hAPP_f1579743228l_bool: $i > $i > $i ).

thf(tp_hAPP_f1600936353l_bool,type,
    hAPP_f1600936353l_bool: $i > $i > $i ).

thf(tp_hAPP_f1608277885r_bool,type,
    hAPP_f1608277885r_bool: $i > $i > $i ).

thf(tp_hAPP_f1611569977l_bool,type,
    hAPP_f1611569977l_bool: $i > $i > $i ).

thf(tp_hAPP_f1612138403l_bool,type,
    hAPP_f1612138403l_bool: $i > $i > $i ).

thf(tp_hAPP_f1613448899r_bool,type,
    hAPP_f1613448899r_bool: $i > $i > $i ).

thf(tp_hAPP_f1614195593l_bool,type,
    hAPP_f1614195593l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f162154931l_bool,type,
    hAPP_f162154931l_bool: $i > $i > $i ).

thf(tp_hAPP_f1634841927l_bool,type,
    hAPP_f1634841927l_bool: $i > $i > $i ).

thf(tp_hAPP_f1639555093l_bool,type,
    hAPP_f1639555093l_bool: $i > $i > $i ).

thf(tp_hAPP_f1646911885l_bool,type,
    hAPP_f1646911885l_bool: $i > $i > $i ).

thf(tp_hAPP_f165071409l_bool,type,
    hAPP_f165071409l_bool: $i > $i > $i ).

thf(tp_hAPP_f1661305905l_bool,type,
    hAPP_f1661305905l_bool: $i > $i > $i ).

thf(tp_hAPP_f1666729379r_bool,type,
    hAPP_f1666729379r_bool: $i > $i > $i ).

thf(tp_hAPP_f1670595613l_bool,type,
    hAPP_f1670595613l_bool: $i > $i > $i ).

thf(tp_hAPP_f1677329295l_bool,type,
    hAPP_f1677329295l_bool: $i > $i > $i ).

thf(tp_hAPP_f1687138147l_bool,type,
    hAPP_f1687138147l_bool: $i > $i > $i ).

thf(tp_hAPP_f1697332217r_bool,type,
    hAPP_f1697332217r_bool: $i > $i > $i ).

thf(tp_hAPP_f1707979241r_bool,type,
    hAPP_f1707979241r_bool: $i > $i > $i ).

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

thf(tp_hAPP_f1715733055l_bool,type,
    hAPP_f1715733055l_bool: $i > $i > $i ).

thf(tp_hAPP_f1720452391l_bool,type,
    hAPP_f1720452391l_bool: $i > $i > $i ).

thf(tp_hAPP_f1722879237t_bool,type,
    hAPP_f1722879237t_bool: $i > $i > $i ).

thf(tp_hAPP_f1724656343r_bool,type,
    hAPP_f1724656343r_bool: $i > $i > $i ).

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

thf(tp_hAPP_f1728541444l_bool,type,
    hAPP_f1728541444l_bool: $i > $i > $i ).

thf(tp_hAPP_f1734260017l_bool,type,
    hAPP_f1734260017l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f1734997943l_bool,type,
    hAPP_f1734997943l_bool: $i > $i > $i ).

thf(tp_hAPP_f1736484361l_bool,type,
    hAPP_f1736484361l_bool: $i > $i > $i ).

thf(tp_hAPP_f1741070310on_val,type,
    hAPP_f1741070310on_val: $i > $i > $i ).

thf(tp_hAPP_f1744304433on_val,type,
    hAPP_f1744304433on_val: $i > $i > $i ).

thf(tp_hAPP_f1746574980l_bool,type,
    hAPP_f1746574980l_bool: $i > $i > $i ).

thf(tp_hAPP_f1748390065l_bool,type,
    hAPP_f1748390065l_bool: $i > $i > $i ).

thf(tp_hAPP_f1749915625r_bool,type,
    hAPP_f1749915625r_bool: $i > $i > $i ).

thf(tp_hAPP_f1752856401l_bool,type,
    hAPP_f1752856401l_bool: $i > $i > $i ).

thf(tp_hAPP_f1754555101l_bool,type,
    hAPP_f1754555101l_bool: $i > $i > $i ).

thf(tp_hAPP_f1764180741l_bool,type,
    hAPP_f1764180741l_bool: $i > $i > $i ).

thf(tp_hAPP_f1764548711l_bool,type,
    hAPP_f1764548711l_bool: $i > $i > $i ).

thf(tp_hAPP_f1766231913r_bool,type,
    hAPP_f1766231913r_bool: $i > $i > $i ).

thf(tp_hAPP_f1776070952l_bool,type,
    hAPP_f1776070952l_bool: $i > $i > $i ).

thf(tp_hAPP_f1776419603l_bool,type,
    hAPP_f1776419603l_bool: $i > $i > $i ).

thf(tp_hAPP_f1776493709l_bool,type,
    hAPP_f1776493709l_bool: $i > $i > $i ).

thf(tp_hAPP_f1780084320l_bool,type,
    hAPP_f1780084320l_bool: $i > $i > $i ).

thf(tp_hAPP_f179418505r_bool,type,
    hAPP_f179418505r_bool: $i > $i > $i ).

thf(tp_hAPP_f1795246582l_bool,type,
    hAPP_f1795246582l_bool: $i > $i > $i ).

thf(tp_hAPP_f1805337205on_val,type,
    hAPP_f1805337205on_val: $i > $i > $i ).

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

thf(tp_hAPP_f1817350437l_bool,type,
    hAPP_f1817350437l_bool: $i > $i > $i ).

thf(tp_hAPP_f1820115955r_bool,type,
    hAPP_f1820115955r_bool: $i > $i > $i ).

thf(tp_hAPP_f1823921107r_bool,type,
    hAPP_f1823921107r_bool: $i > $i > $i ).

thf(tp_hAPP_f183649339l_bool,type,
    hAPP_f183649339l_bool: $i > $i > $i ).

thf(tp_hAPP_f1847120981l_bool,type,
    hAPP_f1847120981l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f1850037271l_bool,type,
    hAPP_f1850037271l_bool: $i > $i > $i ).

thf(tp_hAPP_f1853572245r_bool,type,
    hAPP_f1853572245r_bool: $i > $i > $i ).

thf(tp_hAPP_f1854361213l_bool,type,
    hAPP_f1854361213l_bool: $i > $i > $i ).

thf(tp_hAPP_f1856968213l_bool,type,
    hAPP_f1856968213l_bool: $i > $i > $i ).

thf(tp_hAPP_f1859053709l_bool,type,
    hAPP_f1859053709l_bool: $i > $i > $i ).

thf(tp_hAPP_f1860331535l_bool,type,
    hAPP_f1860331535l_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_f1868463117l_bool,type,
    hAPP_f1868463117l_bool: $i > $i > $i ).

thf(tp_hAPP_f1874697593r_bool,type,
    hAPP_f1874697593r_bool: $i > $i > $i ).

thf(tp_hAPP_f1876889431r_bool,type,
    hAPP_f1876889431r_bool: $i > $i > $i ).

thf(tp_hAPP_f1880802701l_bool,type,
    hAPP_f1880802701l_bool: $i > $i > $i ).

thf(tp_hAPP_f1889282162l_bool,type,
    hAPP_f1889282162l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f1931964053l_bool,type,
    hAPP_f1931964053l_bool: $i > $i > $i ).

thf(tp_hAPP_f1933376467r_bool,type,
    hAPP_f1933376467r_bool: $i > $i > $i ).

thf(tp_hAPP_f1937828171l_bool,type,
    hAPP_f1937828171l_bool: $i > $i > $i ).

thf(tp_hAPP_f1946480059l_bool,type,
    hAPP_f1946480059l_bool: $i > $i > $i ).

thf(tp_hAPP_f1957374161r_bool,type,
    hAPP_f1957374161r_bool: $i > $i > $i ).

thf(tp_hAPP_f197435839r_bool,type,
    hAPP_f197435839r_bool: $i > $i > $i ).

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

thf(tp_hAPP_f1980787287l_bool,type,
    hAPP_f1980787287l_bool: $i > $i > $i ).

thf(tp_hAPP_f1985672189l_bool,type,
    hAPP_f1985672189l_bool: $i > $i > $i ).

thf(tp_hAPP_f198821591l_bool,type,
    hAPP_f198821591l_bool: $i > $i > $i ).

thf(tp_hAPP_f2025561243r_bool,type,
    hAPP_f2025561243r_bool: $i > $i > $i ).

thf(tp_hAPP_f2026692601l_bool,type,
    hAPP_f2026692601l_bool: $i > $i > $i ).

thf(tp_hAPP_f2028441009l_bool,type,
    hAPP_f2028441009l_bool: $i > $i > $i ).

thf(tp_hAPP_f2036784149l_bool,type,
    hAPP_f2036784149l_bool: $i > $i > $i ).

thf(tp_hAPP_f2037329933l_bool,type,
    hAPP_f2037329933l_bool: $i > $i > $i ).

thf(tp_hAPP_f2041029616l_bool,type,
    hAPP_f2041029616l_bool: $i > $i > $i ).

thf(tp_hAPP_f2047757465l_bool,type,
    hAPP_f2047757465l_bool: $i > $i > $i ).

thf(tp_hAPP_f2050077417l_bool,type,
    hAPP_f2050077417l_bool: $i > $i > $i ).

thf(tp_hAPP_f2052909183l_bool,type,
    hAPP_f2052909183l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f2059406941r_bool,type,
    hAPP_f2059406941r_bool: $i > $i > $i ).

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

thf(tp_hAPP_f2071159779l_bool,type,
    hAPP_f2071159779l_bool: $i > $i > $i ).

thf(tp_hAPP_f2071340985r_bool,type,
    hAPP_f2071340985r_bool: $i > $i > $i ).

thf(tp_hAPP_f2080627739l_bool,type,
    hAPP_f2080627739l_bool: $i > $i > $i ).

thf(tp_hAPP_f2091926485r_bool,type,
    hAPP_f2091926485r_bool: $i > $i > $i ).

thf(tp_hAPP_f2095325577l_bool,type,
    hAPP_f2095325577l_bool: $i > $i > $i ).

thf(tp_hAPP_f2100207721l_bool,type,
    hAPP_f2100207721l_bool: $i > $i > $i ).

thf(tp_hAPP_f2106398425l_bool,type,
    hAPP_f2106398425l_bool: $i > $i > $i ).

thf(tp_hAPP_f2110071953ion_ty,type,
    hAPP_f2110071953ion_ty: $i > $i > $i ).

thf(tp_hAPP_f2118054305l_bool,type,
    hAPP_f2118054305l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f2129782055l_bool,type,
    hAPP_f2129782055l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f2133563379r_bool,type,
    hAPP_f2133563379r_bool: $i > $i > $i ).

thf(tp_hAPP_f225832321r_bool,type,
    hAPP_f225832321r_bool: $i > $i > $i ).

thf(tp_hAPP_f247798919l_bool,type,
    hAPP_f247798919l_bool: $i > $i > $i ).

thf(tp_hAPP_f251669717l_bool,type,
    hAPP_f251669717l_bool: $i > $i > $i ).

thf(tp_hAPP_f252398939r_bool,type,
    hAPP_f252398939r_bool: $i > $i > $i ).

thf(tp_hAPP_f254182519r_bool,type,
    hAPP_f254182519r_bool: $i > $i > $i ).

thf(tp_hAPP_f257113085l_bool,type,
    hAPP_f257113085l_bool: $i > $i > $i ).

thf(tp_hAPP_f258424141l_bool,type,
    hAPP_f258424141l_bool: $i > $i > $i ).

thf(tp_hAPP_f263393637l_bool,type,
    hAPP_f263393637l_bool: $i > $i > $i ).

thf(tp_hAPP_f272179441l_bool,type,
    hAPP_f272179441l_bool: $i > $i > $i ).

thf(tp_hAPP_f279818502r_bool,type,
    hAPP_f279818502r_bool: $i > $i > $i ).

thf(tp_hAPP_f288221747l_bool,type,
    hAPP_f288221747l_bool: $i > $i > $i ).

thf(tp_hAPP_f29105311r_bool,type,
    hAPP_f29105311r_bool: $i > $i > $i ).

thf(tp_hAPP_f292637069l_bool,type,
    hAPP_f292637069l_bool: $i > $i > $i ).

thf(tp_hAPP_f293485653l_bool,type,
    hAPP_f293485653l_bool: $i > $i > $i ).

thf(tp_hAPP_f304993943r_bool,type,
    hAPP_f304993943r_bool: $i > $i > $i ).

thf(tp_hAPP_f306469557r_bool,type,
    hAPP_f306469557r_bool: $i > $i > $i ).

thf(tp_hAPP_f308875635r_bool,type,
    hAPP_f308875635r_bool: $i > $i > $i ).

thf(tp_hAPP_f321462169l_bool,type,
    hAPP_f321462169l_bool: $i > $i > $i ).

thf(tp_hAPP_f32926423l_bool,type,
    hAPP_f32926423l_bool: $i > $i > $i ).

thf(tp_hAPP_f33142364l_bool,type,
    hAPP_f33142364l_bool: $i > $i > $i ).

thf(tp_hAPP_f333583909l_bool,type,
    hAPP_f333583909l_bool: $i > $i > $i ).

thf(tp_hAPP_f335969926r_bool,type,
    hAPP_f335969926r_bool: $i > $i > $i ).

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

thf(tp_hAPP_f344506159r_bool,type,
    hAPP_f344506159r_bool: $i > $i > $i ).

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

thf(tp_hAPP_f348508809l_bool,type,
    hAPP_f348508809l_bool: $i > $i > $i ).

thf(tp_hAPP_f348753975l_bool,type,
    hAPP_f348753975l_bool: $i > $i > $i ).

thf(tp_hAPP_f350189921l_bool,type,
    hAPP_f350189921l_bool: $i > $i > $i ).

thf(tp_hAPP_f359949478ion_ty,type,
    hAPP_f359949478ion_ty: $i > $i > $i ).

thf(tp_hAPP_f361629773l_bool,type,
    hAPP_f361629773l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f368284312on_val,type,
    hAPP_f368284312on_val: $i > $i > $i ).

thf(tp_hAPP_f375531599l_bool,type,
    hAPP_f375531599l_bool: $i > $i > $i ).

thf(tp_hAPP_f379976829l_bool,type,
    hAPP_f379976829l_bool: $i > $i > $i ).

thf(tp_hAPP_f380623487l_bool,type,
    hAPP_f380623487l_bool: $i > $i > $i ).

thf(tp_hAPP_f388097003r_bool,type,
    hAPP_f388097003r_bool: $i > $i > $i ).

thf(tp_hAPP_f388705405r_bool,type,
    hAPP_f388705405r_bool: $i > $i > $i ).

thf(tp_hAPP_f396807521l_bool,type,
    hAPP_f396807521l_bool: $i > $i > $i ).

thf(tp_hAPP_f399018025r_bool,type,
    hAPP_f399018025r_bool: $i > $i > $i ).

thf(tp_hAPP_f400269243l_bool,type,
    hAPP_f400269243l_bool: $i > $i > $i ).

thf(tp_hAPP_f40682957l_bool,type,
    hAPP_f40682957l_bool: $i > $i > $i ).

thf(tp_hAPP_f433445541l_bool,type,
    hAPP_f433445541l_bool: $i > $i > $i ).

thf(tp_hAPP_f434955681l_bool,type,
    hAPP_f434955681l_bool: $i > $i > $i ).

thf(tp_hAPP_f447422815l_bool,type,
    hAPP_f447422815l_bool: $i > $i > $i ).

thf(tp_hAPP_f447563647r_bool,type,
    hAPP_f447563647r_bool: $i > $i > $i ).

thf(tp_hAPP_f451501457ion_ty,type,
    hAPP_f451501457ion_ty: $i > $i > $i ).

thf(tp_hAPP_f454222487r_bool,type,
    hAPP_f454222487r_bool: $i > $i > $i ).

thf(tp_hAPP_f458849545l_bool,type,
    hAPP_f458849545l_bool: $i > $i > $i ).

thf(tp_hAPP_f46308763ion_ty,type,
    hAPP_f46308763ion_ty: $i > $i > $i ).

thf(tp_hAPP_f466945179l_bool,type,
    hAPP_f466945179l_bool: $i > $i > $i ).

thf(tp_hAPP_f47713631l_bool,type,
    hAPP_f47713631l_bool: $i > $i > $i ).

thf(tp_hAPP_f479632753l_bool,type,
    hAPP_f479632753l_bool: $i > $i > $i ).

thf(tp_hAPP_f483496539l_bool,type,
    hAPP_f483496539l_bool: $i > $i > $i ).

thf(tp_hAPP_f489569861t_bool,type,
    hAPP_f489569861t_bool: $i > $i > $i ).

thf(tp_hAPP_f509342689ion_ty,type,
    hAPP_f509342689ion_ty: $i > $i > $i ).

thf(tp_hAPP_f510152537l_bool,type,
    hAPP_f510152537l_bool: $i > $i > $i ).

thf(tp_hAPP_f515912112l_bool,type,
    hAPP_f515912112l_bool: $i > $i > $i ).

thf(tp_hAPP_f521496323r_bool,type,
    hAPP_f521496323r_bool: $i > $i > $i ).

thf(tp_hAPP_f522372661r_bool,type,
    hAPP_f522372661r_bool: $i > $i > $i ).

thf(tp_hAPP_f528956081l_bool,type,
    hAPP_f528956081l_bool: $i > $i > $i ).

thf(tp_hAPP_f531187933r_bool,type,
    hAPP_f531187933r_bool: $i > $i > $i ).

thf(tp_hAPP_f538118321l_bool,type,
    hAPP_f538118321l_bool: $i > $i > $i ).

thf(tp_hAPP_f539072365l_bool,type,
    hAPP_f539072365l_bool: $i > $i > $i ).

thf(tp_hAPP_f54304608l_bool,type,
    hAPP_f54304608l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f552300311l_bool,type,
    hAPP_f552300311l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f558380429l_bool,type,
    hAPP_f558380429l_bool: $i > $i > $i ).

thf(tp_hAPP_f561246575l_bool,type,
    hAPP_f561246575l_bool: $i > $i > $i ).

thf(tp_hAPP_f565735867l_bool,type,
    hAPP_f565735867l_bool: $i > $i > $i ).

thf(tp_hAPP_f570766339l_bool,type,
    hAPP_f570766339l_bool: $i > $i > $i ).

thf(tp_hAPP_f588675559l_bool,type,
    hAPP_f588675559l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f595031537l_bool,type,
    hAPP_f595031537l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f605643693r_bool,type,
    hAPP_f605643693r_bool: $i > $i > $i ).

thf(tp_hAPP_f606945057l_bool,type,
    hAPP_f606945057l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f613075253l_bool,type,
    hAPP_f613075253l_bool: $i > $i > $i ).

thf(tp_hAPP_f614662951l_bool,type,
    hAPP_f614662951l_bool: $i > $i > $i ).

thf(tp_hAPP_f62511709l_bool,type,
    hAPP_f62511709l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f644972157l_bool,type,
    hAPP_f644972157l_bool: $i > $i > $i ).

thf(tp_hAPP_f652398900ion_ty,type,
    hAPP_f652398900ion_ty: $i > $i > $i ).

thf(tp_hAPP_f658521820r_bool,type,
    hAPP_f658521820r_bool: $i > $i > $i ).

thf(tp_hAPP_f665343921l_bool,type,
    hAPP_f665343921l_bool: $i > $i > $i ).

thf(tp_hAPP_f677078775l_bool,type,
    hAPP_f677078775l_bool: $i > $i > $i ).

thf(tp_hAPP_f678833350l_bool,type,
    hAPP_f678833350l_bool: $i > $i > $i ).

thf(tp_hAPP_f693085049l_bool,type,
    hAPP_f693085049l_bool: $i > $i > $i ).

thf(tp_hAPP_f69964139ion_ty,type,
    hAPP_f69964139ion_ty: $i > $i > $i ).

thf(tp_hAPP_f705562443l_bool,type,
    hAPP_f705562443l_bool: $i > $i > $i ).

thf(tp_hAPP_f719350875r_bool,type,
    hAPP_f719350875r_bool: $i > $i > $i ).

thf(tp_hAPP_f720086610l_bool,type,
    hAPP_f720086610l_bool: $i > $i > $i ).

thf(tp_hAPP_f722872225l_bool,type,
    hAPP_f722872225l_bool: $i > $i > $i ).

thf(tp_hAPP_f732843907r_bool,type,
    hAPP_f732843907r_bool: $i > $i > $i ).

thf(tp_hAPP_f742333458l_bool,type,
    hAPP_f742333458l_bool: $i > $i > $i ).

thf(tp_hAPP_f749178132l_bool,type,
    hAPP_f749178132l_bool: $i > $i > $i ).

thf(tp_hAPP_f762728813l_bool,type,
    hAPP_f762728813l_bool: $i > $i > $i ).

thf(tp_hAPP_f7643013ion_ty,type,
    hAPP_f7643013ion_ty: $i > $i > $i ).

thf(tp_hAPP_f764724814r_bool,type,
    hAPP_f764724814r_bool: $i > $i > $i ).

thf(tp_hAPP_f77033475l_bool,type,
    hAPP_f77033475l_bool: $i > $i > $i ).

thf(tp_hAPP_f800510211t_bool,type,
    hAPP_f800510211t_bool: $i > $i > $i ).

thf(tp_hAPP_f802560783ion_ty,type,
    hAPP_f802560783ion_ty: $i > $i > $i ).

thf(tp_hAPP_f810261999l_bool,type,
    hAPP_f810261999l_bool: $i > $i > $i ).

thf(tp_hAPP_f82569901l_bool,type,
    hAPP_f82569901l_bool: $i > $i > $i ).

thf(tp_hAPP_f826324045l_bool,type,
    hAPP_f826324045l_bool: $i > $i > $i ).

thf(tp_hAPP_f837795298l_bool,type,
    hAPP_f837795298l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f841257045r_bool,type,
    hAPP_f841257045r_bool: $i > $i > $i ).

thf(tp_hAPP_f842743203r_bool,type,
    hAPP_f842743203r_bool: $i > $i > $i ).

thf(tp_hAPP_f844901525l_bool,type,
    hAPP_f844901525l_bool: $i > $i > $i ).

thf(tp_hAPP_f851858423l_bool,type,
    hAPP_f851858423l_bool: $i > $i > $i ).

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

thf(tp_hAPP_f861853459l_bool,type,
    hAPP_f861853459l_bool: $i > $i > $i ).

thf(tp_hAPP_f864891091on_val,type,
    hAPP_f864891091on_val: $i > $i > $i ).

thf(tp_hAPP_f866074145l_bool,type,
    hAPP_f866074145l_bool: $i > $i > $i ).

thf(tp_hAPP_f869803751l_bool,type,
    hAPP_f869803751l_bool: $i > $i > $i ).

thf(tp_hAPP_f876671127l_bool,type,
    hAPP_f876671127l_bool: $i > $i > $i ).

thf(tp_hAPP_f877616419l_bool,type,
    hAPP_f877616419l_bool: $i > $i > $i ).

thf(tp_hAPP_f893576377l_bool,type,
    hAPP_f893576377l_bool: $i > $i > $i ).

thf(tp_hAPP_f894608603t_bool,type,
    hAPP_f894608603t_bool: $i > $i > $i ).

thf(tp_hAPP_f895126887r_bool,type,
    hAPP_f895126887r_bool: $i > $i > $i ).

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

thf(tp_hAPP_f901718717l_bool,type,
    hAPP_f901718717l_bool: $i > $i > $i ).

thf(tp_hAPP_f914702973l_bool,type,
    hAPP_f914702973l_bool: $i > $i > $i ).

thf(tp_hAPP_f91506671l_bool,type,
    hAPP_f91506671l_bool: $i > $i > $i ).

thf(tp_hAPP_f919000597l_bool,type,
    hAPP_f919000597l_bool: $i > $i > $i ).

thf(tp_hAPP_f921434893l_bool,type,
    hAPP_f921434893l_bool: $i > $i > $i ).

thf(tp_hAPP_f926979333l_bool,type,
    hAPP_f926979333l_bool: $i > $i > $i ).

thf(tp_hAPP_f935003377l_bool,type,
    hAPP_f935003377l_bool: $i > $i > $i ).

thf(tp_hAPP_f937861397l_bool,type,
    hAPP_f937861397l_bool: $i > $i > $i ).

thf(tp_hAPP_f952817385r_bool,type,
    hAPP_f952817385r_bool: $i > $i > $i ).

thf(tp_hAPP_f953097879r_bool,type,
    hAPP_f953097879r_bool: $i > $i > $i ).

thf(tp_hAPP_f961387813l_bool,type,
    hAPP_f961387813l_bool: $i > $i > $i ).

thf(tp_hAPP_f966411375l_bool,type,
    hAPP_f966411375l_bool: $i > $i > $i ).

thf(tp_hAPP_f973018659l_bool,type,
    hAPP_f973018659l_bool: $i > $i > $i ).

thf(tp_hAPP_f983152497l_bool,type,
    hAPP_f983152497l_bool: $i > $i > $i ).

thf(tp_hAPP_f986089162l_bool,type,
    hAPP_f986089162l_bool: $i > $i > $i ).

thf(tp_hAPP_f987862447r_bool,type,
    hAPP_f987862447r_bool: $i > $i > $i ).

thf(tp_hAPP_f989077673l_bool,type,
    hAPP_f989077673l_bool: $i > $i > $i ).

thf(tp_hAPP_f998390560l_bool,type,
    hAPP_f998390560l_bool: $i > $i > $i ).

thf(tp_hAPP_l103437071st_val,type,
    hAPP_l103437071st_val: $i > $i > $i ).

thf(tp_hAPP_l1062423959r_bool,type,
    hAPP_l1062423959r_bool: $i > $i > $i ).

thf(tp_hAPP_l1105836155t_char,type,
    hAPP_l1105836155t_char: $i > $i > $i ).

thf(tp_hAPP_l1117138611l_bool,type,
    hAPP_l1117138611l_bool: $i > $i > $i ).

thf(tp_hAPP_l1129005983r_bool,type,
    hAPP_l1129005983r_bool: $i > $i > $i ).

thf(tp_hAPP_l1249476511st_val,type,
    hAPP_l1249476511st_val: $i > $i > $i ).

thf(tp_hAPP_l1275479261on_val,type,
    hAPP_l1275479261on_val: $i > $i > $i ).

thf(tp_hAPP_l1294856089har_ty,type,
    hAPP_l1294856089har_ty: $i > $i > $i ).

thf(tp_hAPP_l1319068228ist_ty,type,
    hAPP_l1319068228ist_ty: $i > $i > $i ).

thf(tp_hAPP_l1334098948t_char,type,
    hAPP_l1334098948t_char: $i > $i > $i ).

thf(tp_hAPP_l1335043179r_bool,type,
    hAPP_l1335043179r_bool: $i > $i > $i ).

thf(tp_hAPP_l1342015621r_bool,type,
    hAPP_l1342015621r_bool: $i > $i > $i ).

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

thf(tp_hAPP_l1388836853t_char,type,
    hAPP_l1388836853t_char: $i > $i > $i ).

thf(tp_hAPP_l1425867561l_bool,type,
    hAPP_l1425867561l_bool: $i > $i > $i ).

thf(tp_hAPP_l14371579t_char,type,
    hAPP_l14371579t_char: $i > $i > $i ).

thf(tp_hAPP_l1450984463t_char,type,
    hAPP_l1450984463t_char: $i > $i > $i ).

thf(tp_hAPP_l146377954l_bool,type,
    hAPP_l146377954l_bool: $i > $i > $i ).

thf(tp_hAPP_l1536299231l_bool,type,
    hAPP_l1536299231l_bool: $i > $i > $i ).

thf(tp_hAPP_l1571522437l_bool,type,
    hAPP_l1571522437l_bool: $i > $i > $i ).

thf(tp_hAPP_l1591404153l_bool,type,
    hAPP_l1591404153l_bool: $i > $i > $i ).

thf(tp_hAPP_l1646953198l_bool,type,
    hAPP_l1646953198l_bool: $i > $i > $i ).

thf(tp_hAPP_l1648260346t_char,type,
    hAPP_l1648260346t_char: $i > $i > $i ).

thf(tp_hAPP_l165010689r_bool,type,
    hAPP_l165010689r_bool: $i > $i > $i ).

thf(tp_hAPP_l1657578379har_ty,type,
    hAPP_l1657578379har_ty: $i > $i > $i ).

thf(tp_hAPP_l1739862107l_bool,type,
    hAPP_l1739862107l_bool: $i > $i > $i ).

thf(tp_hAPP_l1770520637ist_ty,type,
    hAPP_l1770520637ist_ty: $i > $i > $i ).

thf(tp_hAPP_l177734933l_bool,type,
    hAPP_l177734933l_bool: $i > $i > $i ).

thf(tp_hAPP_l1783480313r_bool,type,
    hAPP_l1783480313r_bool: $i > $i > $i ).

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

thf(tp_hAPP_l1842007287l_bool,type,
    hAPP_l1842007287l_bool: $i > $i > $i ).

thf(tp_hAPP_l1845912621l_bool,type,
    hAPP_l1845912621l_bool: $i > $i > $i ).

thf(tp_hAPP_l1859255743t_char,type,
    hAPP_l1859255743t_char: $i > $i > $i ).

thf(tp_hAPP_l1873467853t_char,type,
    hAPP_l1873467853t_char: $i > $i > $i ).

thf(tp_hAPP_l1883348915t_char,type,
    hAPP_l1883348915t_char: $i > $i > $i ).

thf(tp_hAPP_l1903254203l_bool,type,
    hAPP_l1903254203l_bool: $i > $i > $i ).

thf(tp_hAPP_l1948972481har_ty,type,
    hAPP_l1948972481har_ty: $i > $i > $i ).

thf(tp_hAPP_l1987619678r_bool,type,
    hAPP_l1987619678r_bool: $i > $i > $i ).

thf(tp_hAPP_l1988620845r_bool,type,
    hAPP_l1988620845r_bool: $i > $i > $i ).

thf(tp_hAPP_l2000496933ion_ty,type,
    hAPP_l2000496933ion_ty: $i > $i > $i ).

thf(tp_hAPP_l2010421276l_bool,type,
    hAPP_l2010421276l_bool: $i > $i > $i ).

thf(tp_hAPP_l2019537453t_char,type,
    hAPP_l2019537453t_char: $i > $i > $i ).

thf(tp_hAPP_l2048923787t_char,type,
    hAPP_l2048923787t_char: $i > $i > $i ).

thf(tp_hAPP_l2053770731r_bool,type,
    hAPP_l2053770731r_bool: $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_l2111308793l_bool,type,
    hAPP_l2111308793l_bool: $i > $i > $i ).

thf(tp_hAPP_l213519975l_bool,type,
    hAPP_l213519975l_bool: $i > $i > $i ).

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

thf(tp_hAPP_l2140727500r_bool,type,
    hAPP_l2140727500r_bool: $i > $i > $i ).

thf(tp_hAPP_l214204733r_bool,type,
    hAPP_l214204733r_bool: $i > $i > $i ).

thf(tp_hAPP_l217977712r_bool,type,
    hAPP_l217977712r_bool: $i > $i > $i ).

thf(tp_hAPP_l232580245l_bool,type,
    hAPP_l232580245l_bool: $i > $i > $i ).

thf(tp_hAPP_l24694616r_bool,type,
    hAPP_l24694616r_bool: $i > $i > $i ).

thf(tp_hAPP_l277216047t_char,type,
    hAPP_l277216047t_char: $i > $i > $i ).

thf(tp_hAPP_l296209613r_bool,type,
    hAPP_l296209613r_bool: $i > $i > $i ).

thf(tp_hAPP_l309186817t_char,type,
    hAPP_l309186817t_char: $i > $i > $i ).

thf(tp_hAPP_l352172327t_char,type,
    hAPP_l352172327t_char: $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_l551544901l_bool,type,
    hAPP_l551544901l_bool: $i > $i > $i ).

thf(tp_hAPP_l553007690l_bool,type,
    hAPP_l553007690l_bool: $i > $i > $i ).

thf(tp_hAPP_l753659065r_bool,type,
    hAPP_l753659065r_bool: $i > $i > $i ).

thf(tp_hAPP_l796364813t_char,type,
    hAPP_l796364813t_char: $i > $i > $i ).

thf(tp_hAPP_l810309945l_bool,type,
    hAPP_l810309945l_bool: $i > $i > $i ).

thf(tp_hAPP_l902158906r_bool,type,
    hAPP_l902158906r_bool: $i > $i > $i ).

thf(tp_hAPP_l902950593t_char,type,
    hAPP_l902950593t_char: $i > $i > $i ).

thf(tp_hAPP_l923073979r_bool,type,
    hAPP_l923073979r_bool: $i > $i > $i ).

thf(tp_hAPP_l96108383r_bool,type,
    hAPP_l96108383r_bool: $i > $i > $i ).

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

thf(tp_hAPP_list_char_ty,type,
    hAPP_list_char_ty: $i > $i > $i ).

thf(tp_hAPP_n1006566506l_bool,type,
    hAPP_n1006566506l_bool: $i > $i > $i ).

thf(tp_hAPP_n215258509l_bool,type,
    hAPP_n215258509l_bool: $i > $i > $i ).

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

thf(tp_hAPP_n95946796l_bool,type,
    hAPP_n95946796l_bool: $i > $i > $i ).

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

thf(tp_hAPP_nat_option_nat,type,
    hAPP_nat_option_nat: $i > $i > $i ).

thf(tp_hAPP_o1240645474ion_ty,type,
    hAPP_o1240645474ion_ty: $i > $i > $i ).

thf(tp_hAPP_o1269033393on_val,type,
    hAPP_o1269033393on_val: $i > $i > $i ).

thf(tp_hAPP_o1566711458t_bool,type,
    hAPP_o1566711458t_bool: $i > $i > $i ).

thf(tp_hAPP_o1576581476on_val,type,
    hAPP_o1576581476on_val: $i > $i > $i ).

thf(tp_hAPP_o1968908095l_bool,type,
    hAPP_o1968908095l_bool: $i > $i > $i ).

thf(tp_hAPP_o1977518472on_val,type,
    hAPP_o1977518472on_val: $i > $i > $i ).

thf(tp_hAPP_o2007402111l_bool,type,
    hAPP_o2007402111l_bool: $i > $i > $i ).

thf(tp_hAPP_o285151112r_bool,type,
    hAPP_o285151112r_bool: $i > $i > $i ).

thf(tp_hAPP_o453398608r_bool,type,
    hAPP_o453398608r_bool: $i > $i > $i ).

thf(tp_hAPP_o534509643ion_ty,type,
    hAPP_o534509643ion_ty: $i > $i > $i ).

thf(tp_hAPP_o538043682on_val,type,
    hAPP_o538043682on_val: $i > $i > $i ).

thf(tp_hAPP_o586881855l_bool,type,
    hAPP_o586881855l_bool: $i > $i > $i ).

thf(tp_hAPP_option_nat_nat,type,
    hAPP_option_nat_nat: $i > $i > $i ).

thf(tp_hAPP_option_ty_bool,type,
    hAPP_option_ty_bool: $i > $i > $i ).

thf(tp_hAPP_option_ty_ty,type,
    hAPP_option_ty_ty: $i > $i > $i ).

thf(tp_hAPP_option_val_bool,type,
    hAPP_option_val_bool: $i > $i > $i ).

thf(tp_hAPP_option_val_val,type,
    hAPP_option_val_val: $i > $i > $i ).

thf(tp_hAPP_t1369077401t_char,type,
    hAPP_t1369077401t_char: $i > $i > $i ).

thf(tp_hAPP_t1875766236har_ty,type,
    hAPP_t1875766236har_ty: $i > $i > $i ).

thf(tp_hAPP_t708040077har_ty,type,
    hAPP_t708040077har_ty: $i > $i > $i ).

thf(tp_hAPP_ty_bool,type,
    hAPP_ty_bool: $i > $i > $i ).

thf(tp_hAPP_ty_fun_ty_bool,type,
    hAPP_ty_fun_ty_bool: $i > $i > $i ).

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

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

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

thf(tp_hAPP_v1988122071l_bool,type,
    hAPP_v1988122071l_bool: $i > $i > $i ).

thf(tp_hAPP_v3604996l_bool,type,
    hAPP_v3604996l_bool: $i > $i > $i ).

thf(tp_hAPP_v417179479l_bool,type,
    hAPP_v417179479l_bool: $i > $i > $i ).

thf(tp_hAPP_v834067052t_char,type,
    hAPP_v834067052t_char: $i > $i > $i ).

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

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

thf(tp_hAPP_val_option_ty,type,
    hAPP_val_option_ty: $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_init_fields,type,
    init_fields: $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_fun1083000568p_bool,type,
    is_fun1083000568p_bool: $i > $o ).

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_lex_pr1038007919on_val,type,
    lex_pr1038007919on_val: $i > $i > $i ).

thf(tp_lex_pr1541028704on_val,type,
    lex_pr1541028704on_val: $i > $i > $i ).

thf(tp_lex_pr1588300168t_char,type,
    lex_pr1588300168t_char: $i > $i > $i ).

thf(tp_lex_pr1668767798t_char,type,
    lex_pr1668767798t_char: $i > $i > $i ).

thf(tp_lex_pr167435119t_char,type,
    lex_pr167435119t_char: $i > $i > $i ).

thf(tp_lex_pr1787105337t_char,type,
    lex_pr1787105337t_char: $i > $i > $i ).

thf(tp_lex_pr1876288492t_char,type,
    lex_pr1876288492t_char: $i > $i > $i ).

thf(tp_lex_pr1932514710al_val,type,
    lex_pr1932514710al_val: $i > $i > $i ).

thf(tp_lex_pr1971266694on_val,type,
    lex_pr1971266694on_val: $i > $i > $i ).

thf(tp_lex_pr2110711565on_val,type,
    lex_pr2110711565on_val: $i > $i > $i ).

thf(tp_lex_pr213428520t_char,type,
    lex_pr213428520t_char: $i > $i > $i ).

thf(tp_lex_pr280535005t_char,type,
    lex_pr280535005t_char: $i > $i > $i ).

thf(tp_lex_pr307591827t_char,type,
    lex_pr307591827t_char: $i > $i > $i ).

thf(tp_lex_pr69619957on_val,type,
    lex_pr69619957on_val: $i > $i > $i ).

thf(tp_lex_pr731210613on_val,type,
    lex_pr731210613on_val: $i > $i > $i ).

thf(tp_lex_prod_val_val,type,
    lex_prod_val_val: $i > $i > $i ).

thf(tp_list_all2_ty_ty,type,
    list_all2_ty_ty: $i > $i > $i > $i ).

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

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

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

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

thf(tp_map_list_char_val,type,
    map_list_char_val: $i > $i > $i ).

thf(tp_map_ty_option_ty,type,
    map_ty_option_ty: $i > $i > $i ).

thf(tp_map_up1085636310ar_val,type,
    map_up1085636310ar_val: $i > $i > $i > $i ).

thf(tp_map_up891053837har_ty,type,
    map_up891053837har_ty: $i > $i > $i > $i ).

thf(tp_map_va1934808527t_char,type,
    map_va1934808527t_char: $i > $i > $i ).

thf(tp_map_val_option_ty,type,
    map_val_option_ty: $i > $i > $i ).

thf(tp_member104734088ist_ty,type,
    member104734088ist_ty: $i ).

thf(tp_member1161907014t_char,type,
    member1161907014t_char: $i ).

thf(tp_member1199939018t_char,type,
    member1199939018t_char: $i ).

thf(tp_member125098544t_char,type,
    member125098544t_char: $i ).

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

thf(tp_member1322055188on_val,type,
    member1322055188on_val: $i ).

thf(tp_member133545693t_char,type,
    member133545693t_char: $i ).

thf(tp_member1337019328on_val,type,
    member1337019328on_val: $i ).

thf(tp_member1379348767t_char,type,
    member1379348767t_char: $i ).

thf(tp_member140606439t_char,type,
    member140606439t_char: $i ).

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

thf(tp_member1420286996t_char,type,
    member1420286996t_char: $i ).

thf(tp_member1467889965t_char,type,
    member1467889965t_char: $i ).

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

thf(tp_member1551446420t_char,type,
    member1551446420t_char: $i ).

thf(tp_member1580476948t_char,type,
    member1580476948t_char: $i ).

thf(tp_member1601084734t_char,type,
    member1601084734t_char: $i ).

thf(tp_member1607118676t_char,type,
    member1607118676t_char: $i ).

thf(tp_member162552852t_char,type,
    member162552852t_char: $i ).

thf(tp_member1732271180al_val,type,
    member1732271180al_val: $i ).

thf(tp_member1771544038t_char,type,
    member1771544038t_char: $i ).

thf(tp_member1840112042t_char,type,
    member1840112042t_char: $i ).

thf(tp_member1972431429on_val,type,
    member1972431429on_val: $i ).

thf(tp_member1999287380t_char,type,
    member1999287380t_char: $i ).

thf(tp_member273646106st_val,type,
    member273646106st_val: $i ).

thf(tp_member490182804on_val,type,
    member490182804on_val: $i ).

thf(tp_member520253462har_ty,type,
    member520253462har_ty: $i ).

thf(tp_member563141460on_val,type,
    member563141460on_val: $i ).

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

thf(tp_member699351154t_char,type,
    member699351154t_char: $i ).

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

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

thf(tp_member781783252on_val,type,
    member781783252on_val: $i ).

thf(tp_member794220506t_char,type,
    member794220506t_char: $i ).

thf(tp_member808015754on_val,type,
    member808015754on_val: $i ).

thf(tp_member817832404t_char,type,
    member817832404t_char: $i ).

thf(tp_member837208074al_val,type,
    member837208074al_val: $i ).

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

thf(tp_member875476972on_val,type,
    member875476972on_val: $i ).

thf(tp_member88670778on_val,type,
    member88670778on_val: $i ).

thf(tp_member894971540t_char,type,
    member894971540t_char: $i ).

thf(tp_member978285664op_bop,type,
    member978285664op_bop: $i ).

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

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

thf(tp_method1809630380t_char,type,
    method1809630380t_char: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_new_Addr,type,
    new_Addr: $i > $i ).

thf(tp_new_list_char,type,
    new_list_char: $i > $i ).

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

thf(tp_none_f478147469r_bool,type,
    none_f478147469r_bool: $i ).

thf(tp_none_nat,type,
    none_nat: $i ).

thf(tp_none_ty,type,
    none_ty: $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_option1388193227on_val,type,
    option1388193227on_val: $i > $i > $i > $i ).

thf(tp_ord_le1050317687l_bool,type,
    ord_le1050317687l_bool: $i > $i ).

thf(tp_ord_le1080391173l_bool,type,
    ord_le1080391173l_bool: $i > $i ).

thf(tp_ord_le1151384881r_bool,type,
    ord_le1151384881r_bool: $i > $i ).

thf(tp_ord_le117566470r_bool,type,
    ord_le117566470r_bool: $i > $i ).

thf(tp_ord_le1218729222r_bool,type,
    ord_le1218729222r_bool: $i > $i ).

thf(tp_ord_le125655867l_bool,type,
    ord_le125655867l_bool: $i > $i ).

thf(tp_ord_le1270183657l_bool,type,
    ord_le1270183657l_bool: $i > $i ).

thf(tp_ord_le1438917387l_bool,type,
    ord_le1438917387l_bool: $i > $i ).

thf(tp_ord_le1449176264r_bool,type,
    ord_le1449176264r_bool: $i > $i ).

thf(tp_ord_le1461833060l_bool,type,
    ord_le1461833060l_bool: $i > $i ).

thf(tp_ord_le1467847572l_bool,type,
    ord_le1467847572l_bool: $i > $i ).

thf(tp_ord_le1568362934t_bool,type,
    ord_le1568362934t_bool: $i > $i ).

thf(tp_ord_le1579844278r_bool,type,
    ord_le1579844278r_bool: $i > $i ).

thf(tp_ord_le1668954565l_bool,type,
    ord_le1668954565l_bool: $i > $i ).

thf(tp_ord_le1725884030l_bool,type,
    ord_le1725884030l_bool: $i > $i ).

thf(tp_ord_le1734858744r_bool,type,
    ord_le1734858744r_bool: $i > $i ).

thf(tp_ord_le1744419030l_bool,type,
    ord_le1744419030l_bool: $i > $i ).

thf(tp_ord_le176694639r_bool,type,
    ord_le176694639r_bool: $i > $i ).

thf(tp_ord_le1776148979l_bool,type,
    ord_le1776148979l_bool: $i > $i ).

thf(tp_ord_le1852058257r_bool,type,
    ord_le1852058257r_bool: $i > $i ).

thf(tp_ord_le1871967977r_bool,type,
    ord_le1871967977r_bool: $i > $i ).

thf(tp_ord_le188521288l_bool,type,
    ord_le188521288l_bool: $i > $i ).

thf(tp_ord_le1908998213l_bool,type,
    ord_le1908998213l_bool: $i > $i ).

thf(tp_ord_le1987888477r_bool,type,
    ord_le1987888477r_bool: $i > $i ).

thf(tp_ord_le2008677227r_bool,type,
    ord_le2008677227r_bool: $i > $i ).

thf(tp_ord_le2092826700r_bool,type,
    ord_le2092826700r_bool: $i > $i ).

thf(tp_ord_le285175110l_bool,type,
    ord_le285175110l_bool: $i > $i ).

thf(tp_ord_le310098611l_bool,type,
    ord_le310098611l_bool: $i > $i ).

thf(tp_ord_le408082617l_bool,type,
    ord_le408082617l_bool: $i > $i ).

thf(tp_ord_le458107652r_bool,type,
    ord_le458107652r_bool: $i > $i ).

thf(tp_ord_le640323803r_bool,type,
    ord_le640323803r_bool: $i > $i ).

thf(tp_ord_le715555971r_bool,type,
    ord_le715555971r_bool: $i > $i ).

thf(tp_ord_le725666495r_bool,type,
    ord_le725666495r_bool: $i > $i ).

thf(tp_ord_le735260024r_bool,type,
    ord_le735260024r_bool: $i > $i ).

thf(tp_ord_le817953186r_bool,type,
    ord_le817953186r_bool: $i > $i ).

thf(tp_ord_le989574145r_bool,type,
    ord_le989574145r_bool: $i > $i ).

thf(tp_ord_less_eq_bool,type,
    ord_less_eq_bool: $i > $i ).

thf(tp_outOfMemory,type,
    outOfMemory: $i ).

thf(tp_overri2012515291on_val,type,
    overri2012515291on_val: $i > $i > $i > $i ).

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

thf(tp_preallocated,type,
    preallocated: $i > $i ).

thf(tp_produc1147572817t_char,type,
    produc1147572817t_char: $i ).

thf(tp_produc1152259904t_char,type,
    produc1152259904t_char: $i ).

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

thf(tp_produc1237966615t_char,type,
    produc1237966615t_char: $i ).

thf(tp_produc1244920211al_val,type,
    produc1244920211al_val: $i ).

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

thf(tp_produc1265154397har_ty,type,
    produc1265154397har_ty: $i ).

thf(tp_produc1299387215t_char,type,
    produc1299387215t_char: $i ).

thf(tp_produc1324280167r_bool,type,
    produc1324280167r_bool: $i ).

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

thf(tp_produc1331140167t_char,type,
    produc1331140167t_char: $i ).

thf(tp_produc1431439831t_char,type,
    produc1431439831t_char: $i ).

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

thf(tp_produc1483578759t_char,type,
    produc1483578759t_char: $i ).

thf(tp_produc1491230096l_bool,type,
    produc1491230096l_bool: $i ).

thf(tp_produc1545444669t_char,type,
    produc1545444669t_char: $i ).

thf(tp_produc154616760r_bool,type,
    produc154616760r_bool: $i ).

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

thf(tp_produc1564932627on_val,type,
    produc1564932627on_val: $i ).

thf(tp_produc156891095r_bool,type,
    produc156891095r_bool: $i > $i ).

thf(tp_produc1574020101r_bool,type,
    produc1574020101r_bool: $i > $i ).

thf(tp_produc1577326610ion_ty,type,
    produc1577326610ion_ty: $i ).

thf(tp_produc1588781647r_bool,type,
    produc1588781647r_bool: $i > $i ).

thf(tp_produc1596557472r_bool,type,
    produc1596557472r_bool: $i ).

thf(tp_produc1611380469on_val,type,
    produc1611380469on_val: $i ).

thf(tp_produc1618304727on_val,type,
    produc1618304727on_val: $i ).

thf(tp_produc1641293463t_char,type,
    produc1641293463t_char: $i ).

thf(tp_produc1675615144ion_ty,type,
    produc1675615144ion_ty: $i > $i ).

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

thf(tp_produc1712663241on_val,type,
    produc1712663241on_val: $i ).

thf(tp_produc1732333873r_bool,type,
    produc1732333873r_bool: $i ).

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

thf(tp_produc1838470831l_bool,type,
    produc1838470831l_bool: $i > $i ).

thf(tp_produc1860789535har_ty,type,
    produc1860789535har_ty: $i ).

thf(tp_produc1897818327t_char,type,
    produc1897818327t_char: $i ).

thf(tp_produc1909267824t_char,type,
    produc1909267824t_char: $i ).

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

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

thf(tp_produc1916172923t_char,type,
    produc1916172923t_char: $i ).

thf(tp_produc1924279125al_val,type,
    produc1924279125al_val: $i ).

thf(tp_produc1951691075on_val,type,
    produc1951691075on_val: $i ).

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

thf(tp_produc1960514199on_val,type,
    produc1960514199on_val: $i ).

thf(tp_produc2016959032t_char,type,
    produc2016959032t_char: $i ).

thf(tp_produc2027921764r_bool,type,
    produc2027921764r_bool: $i ).

thf(tp_produc2035944023t_char,type,
    produc2035944023t_char: $i ).

thf(tp_produc2053127004l_bool,type,
    produc2053127004l_bool: $i > $i ).

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

thf(tp_produc2078839843st_val,type,
    produc2078839843st_val: $i ).

thf(tp_produc2080520419t_char,type,
    produc2080520419t_char: $i ).

thf(tp_produc2116052801r_bool,type,
    produc2116052801r_bool: $i > $i ).

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

thf(tp_produc21910851r_bool,type,
    produc21910851r_bool: $i ).

thf(tp_produc24551831t_char,type,
    produc24551831t_char: $i ).

thf(tp_produc251930284har_ty,type,
    produc251930284har_ty: $i ).

thf(tp_produc266042248r_bool,type,
    produc266042248r_bool: $i > $i ).

thf(tp_produc288369490r_bool,type,
    produc288369490r_bool: $i > $i ).

thf(tp_produc379668296on_val,type,
    produc379668296on_val: $i ).

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

thf(tp_produc436875159t_char,type,
    produc436875159t_char: $i ).

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

thf(tp_produc499151895on_val,type,
    produc499151895on_val: $i ).

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

thf(tp_produc512429457ist_ty,type,
    produc512429457ist_ty: $i ).

thf(tp_produc550034914r_bool,type,
    produc550034914r_bool: $i > $i ).

thf(tp_produc57279289t_char,type,
    produc57279289t_char: $i ).

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

thf(tp_produc635935767t_char,type,
    produc635935767t_char: $i ).

thf(tp_produc70644925l_bool,type,
    produc70644925l_bool: $i ).

thf(tp_produc723279022r_bool,type,
    produc723279022r_bool: $i ).

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

thf(tp_produc822965838t_char,type,
    produc822965838t_char: $i ).

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

thf(tp_produc870913623on_val,type,
    produc870913623on_val: $i ).

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

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

thf(tp_produc907433735ion_ty,type,
    produc907433735ion_ty: $i ).

thf(tp_produc921874948t_char,type,
    produc921874948t_char: $i ).

thf(tp_produc943465171t_char,type,
    produc943465171t_char: $i ).

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

thf(tp_product_Pair_bop_bop,type,
    product_Pair_bop_bop: $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_reds,type,
    reds: $i > $i ).

thf(tp_redsp,type,
    redsp: $i > $i > $i > $i ).

thf(tp_restri761823004ar_val,type,
    restri761823004ar_val: $i > $i > $i ).

thf(tp_sK10_SY1137,type,
    sK10_SY1137: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK11_SY1139,type,
    sK11_SY1139: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK12_X_1,type,
    sK12_X_1: $i > $i > $i > $i ).

thf(tp_sK13_Y_1,type,
    sK13_Y_1: $i > $i > $i > $i > $i ).

thf(tp_sK14_SY1140,type,
    sK14_SY1140: $i > $i > $i > $i > $i ).

thf(tp_sK15_Y_1,type,
    sK15_Y_1: $i > $i > $i > $i ).

thf(tp_sK16_Y_1,type,
    sK16_Y_1: $i > $i > $i > $i ).

thf(tp_sK17_Y_1,type,
    sK17_Y_1: $i > $i > $i > $i > $i ).

thf(tp_sK18_SY1141,type,
    sK18_SY1141: $i > $i > $i > $i > $i ).

thf(tp_sK19_A_1,type,
    sK19_A_1: $i > $i ).

thf(tp_sK1_T_r_1,type,
    sK1_T_r_1: $i > $i > $i > $i > $i ).

thf(tp_sK20_A_1,type,
    sK20_A_1: $i > $i > $i > $i > $i > $i ).

thf(tp_sK21_SY1142,type,
    sK21_SY1142: $i > $i > $i > $i > $i > $i ).

thf(tp_sK22_X_1,type,
    sK22_X_1: $i > $i > $i ).

thf(tp_sK23_X_1,type,
    sK23_X_1: $i > $i > $i > $i ).

thf(tp_sK24_Y_1,type,
    sK24_Y_1: $i > $i ).

thf(tp_sK25_Y_1,type,
    sK25_Y_1: $i > $i ).

thf(tp_sK26_X1,type,
    sK26_X1: $i > $i ).

thf(tp_sK27_A_1,type,
    sK27_A_1: $i > $i ).

thf(tp_sK28_SY1143,type,
    sK28_SY1143: $i > $i ).

thf(tp_sK29_X1,type,
    sK29_X1: $i > $i ).

thf(tp_sK2_X_1,type,
    sK2_X_1: $i > $i > $i ).

thf(tp_sK30_A_1,type,
    sK30_A_1: $i > $i ).

thf(tp_sK31_SY1144,type,
    sK31_SY1144: $i > $i ).

thf(tp_sK32_X1,type,
    sK32_X1: $i > $i ).

thf(tp_sK33_A_1,type,
    sK33_A_1: $i > $i ).

thf(tp_sK34_SY1145,type,
    sK34_SY1145: $i > $i ).

thf(tp_sK35_X_1,type,
    sK35_X_1: $i > $i ).

thf(tp_sK36_SY1146,type,
    sK36_SY1146: $i > $i ).

thf(tp_sK37_X_1,type,
    sK37_X_1: $i > $i ).

thf(tp_sK38_SY1147,type,
    sK38_SY1147: $i > $i ).

thf(tp_sK39_X_1,type,
    sK39_X_1: $i > $i ).

thf(tp_sK3_X_1,type,
    sK3_X_1: $i > $i > $i ).

thf(tp_sK40_SY1148,type,
    sK40_SY1148: $i > $i ).

thf(tp_sK41_A_1,type,
    sK41_A_1: $i > $i ).

thf(tp_sK42_SY1149,type,
    sK42_SY1149: $i > $i ).

thf(tp_sK43_A_1,type,
    sK43_A_1: $i > $i ).

thf(tp_sK44_SY1150,type,
    sK44_SY1150: $i > $i ).

thf(tp_sK45_A_1,type,
    sK45_A_1: $i > $i ).

thf(tp_sK46_SY1151,type,
    sK46_SY1151: $i > $i ).

thf(tp_sK47_X_1,type,
    sK47_X_1: $i > $i > $i ).

thf(tp_sK48_SY1152,type,
    sK48_SY1152: $i > $i > $i ).

thf(tp_sK49_A_1,type,
    sK49_A_1: $i > $i > $i ).

thf(tp_sK4_A_1,type,
    sK4_A_1: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK50_SY1153,type,
    sK50_SY1153: $i > $i > $i ).

thf(tp_sK51_SY1155,type,
    sK51_SY1155: $i > $i > $i ).

thf(tp_sK52_A_1,type,
    sK52_A_1: $i > $i > $i ).

thf(tp_sK53_SY1156,type,
    sK53_SY1156: $i > $i > $i ).

thf(tp_sK54_SY1158,type,
    sK54_SY1158: $i > $i > $i ).

thf(tp_sK55_A_1,type,
    sK55_A_1: $i > $i ).

thf(tp_sK56_SY1159,type,
    sK56_SY1159: $i > $i ).

thf(tp_sK57_SY1161,type,
    sK57_SY1161: $i > $i ).

thf(tp_sK58_A_1,type,
    sK58_A_1: $i > $i ).

thf(tp_sK59_SY1162,type,
    sK59_SY1162: $i > $i ).

thf(tp_sK5_SY1128,type,
    sK5_SY1128: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK60_SY1164,type,
    sK60_SY1164: $i > $i ).

thf(tp_sK61_A_1,type,
    sK61_A_1: $i > $i ).

thf(tp_sK62_SY1165,type,
    sK62_SY1165: $i > $i ).

thf(tp_sK63_X1,type,
    sK63_X1: $i > $i ).

thf(tp_sK64_A_1,type,
    sK64_A_1: $i > $i ).

thf(tp_sK65_SY1166,type,
    sK65_SY1166: $i > $i ).

thf(tp_sK66_X1,type,
    sK66_X1: $i > $i ).

thf(tp_sK67_A_1,type,
    sK67_A_1: $i > $i ).

thf(tp_sK68_SY1167,type,
    sK68_SY1167: $i > $i ).

thf(tp_sK69_X1,type,
    sK69_X1: $i > $i ).

thf(tp_sK6_SY1131,type,
    sK6_SY1131: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK70_A_1,type,
    sK70_A_1: $i > $i ).

thf(tp_sK71_SY1168,type,
    sK71_SY1168: $i > $i ).

thf(tp_sK72_SY1171,type,
    sK72_SY1171: $i > $i ).

thf(tp_sK73_SY1173,type,
    sK73_SY1173: $i > $i ).

thf(tp_sK74_A_1,type,
    sK74_A_1: $i > $i > $i ).

thf(tp_sK75_SY1174,type,
    sK75_SY1174: $i > $i > $i ).

thf(tp_sK76_SY1177,type,
    sK76_SY1177: $i > $i > $i ).

thf(tp_sK77_SY1179,type,
    sK77_SY1179: $i > $i > $i ).

thf(tp_sK7_SY1133,type,
    sK7_SY1133: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK8_A_1,type,
    sK8_A_1: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK9_SY1134,type,
    sK9_SY1134: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_semila1168318597r_bool,type,
    semila1168318597r_bool: $i > $i > $i ).

thf(tp_semila1346223580r_bool,type,
    semila1346223580r_bool: $i > $i > $i ).

thf(tp_semila1731249415r_bool,type,
    semila1731249415r_bool: $i > $i > $i ).

thf(tp_semila449273525l_bool,type,
    semila449273525l_bool: $i > $i > $i ).

thf(tp_semila465093516t_bool,type,
    semila465093516t_bool: $i > $i > $i ).

thf(tp_semila751111325l_bool,type,
    semila751111325l_bool: $i > $i > $i ).

thf(tp_semila919158006r_bool,type,
    semila919158006r_bool: $i > $i > $i ).

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

thf(tp_set_Pr1494163115t_char,type,
    set_Pr1494163115t_char: $i > $i ).

thf(tp_set_Pr2033386304t_char,type,
    set_Pr2033386304t_char: $i > $i ).

thf(tp_set_list_char,type,
    set_list_char: $i > $i ).

thf(tp_size_s1143674878t_char,type,
    size_s1143674878t_char: $i > $i ).

thf(tp_size_s2113983095t_char,type,
    size_s2113983095t_char: $i > $i ).

thf(tp_size_size_list_ty,type,
    size_size_list_ty: $i > $i ).

thf(tp_size_size_list_val,type,
    size_size_list_val: $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_nat,type,
    some_nat: $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_sys_xcpts,type,
    sys_xcpts: $i ).

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

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

thf(tp_the_Pr431167171on_val,type,
    the_Pr431167171on_val: $i ).

thf(tp_the_fu297177755r_bool,type,
    the_fu297177755r_bool: $i ).

thf(tp_the_nat,type,
    the_nat: $i ).

thf(tp_the_ty,type,
    the_ty: $i ).

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

thf(tp_this,type,
    this: $i ).

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

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

thf(tp_transi1095029602t_char,type,
    transi1095029602t_char: $i > $i ).

thf(tp_transi1123801095t_char,type,
    transi1123801095t_char: $i > $i ).

thf(tp_transi122195895t_char,type,
    transi122195895t_char: $i > $i ).

thf(tp_transi1257872013t_char,type,
    transi1257872013t_char: $i > $i ).

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

thf(tp_transi1423755450al_val,type,
    transi1423755450al_val: $i > $i ).

thf(tp_transi1789604888t_char,type,
    transi1789604888t_char: $i > $i ).

thf(tp_transi1906258203al_val,type,
    transi1906258203al_val: $i > $i ).

thf(tp_transi198989188t_char,type,
    transi198989188t_char: $i > $i ).

thf(tp_transi2005320128t_char,type,
    transi2005320128t_char: $i > $i ).

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

thf(tp_transi208336786on_val,type,
    transi208336786on_val: $i > $i ).

thf(tp_transi374442731on_val,type,
    transi374442731on_val: $i > $i ).

thf(tp_transi61620055on_val,type,
    transi61620055on_val: $i > $i ).

thf(tp_transi772168185t_char,type,
    transi772168185t_char: $i > $i ).

thf(tp_transi910771962on_val,type,
    transi910771962on_val: $i > $i ).

thf(tp_transi921647814on_val,type,
    transi921647814on_val: $i > $i ).

thf(tp_transi935034983cl_val,type,
    transi935034983cl_val: $i > $i ).

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

thf(tp_typeSa1700205512_sconf,type,
    typeSa1700205512_sconf: $i > $i > $i ).

thf(tp_typeof_h,type,
    typeof_h: $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 ).

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

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

thf(tp_wTrt_1,type,
    wTrt_1: $i > $i > $i > $i > $i > $i ).

thf(tp_wTrts,type,
    wTrts: $i > $i > $i > $i > $i > $i ).

thf(tp_wTrts_1,type,
    wTrts_1: $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 ).

thf(tp_wwf_J_mdecl,type,
    wwf_J_mdecl: $i ).

thf(138,axiom,
    ! [P: $i] :
      ( ( is_bool @ P )
     => ( ( P = fTrue )
        | ( P = fFalse ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).

thf(139,axiom,
    ~ ( hBOOL @ fFalse ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).

thf(146,axiom,
    ! [P: $i] :
      ( ( is_bool @ P )
     => ( ( P = fTrue )
        | ( P = fFalse ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fTrue_1_1_T) ).

thf(147,axiom,
    hBOOL @ fTrue,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fTrue_1_1_U) ).

thf(148,axiom,
    ! [P: $i] :
      ( ( hBOOL @ P )
      | ( hBOOL @ ( hAPP_bool_bool @ fNot @ P ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fNot_2_1_U) ).

thf(149,axiom,
    ! [P: $i] :
      ( ~ ( hBOOL @ ( hAPP_bool_bool @ fNot @ P ) )
      | ~ ( hBOOL @ P ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fNot_1_1_U) ).

thf(153,axiom,
    ! [M: $i,Ta: $i,Esa: $i,Ts: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i] :
      ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ nt ) )
     => ( ( hBOOL @ ( wTrts @ Pa @ Hb @ Ea @ Esa @ Ts ) )
       => ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( call_list_char @ Eb @ M @ Esa ) @ Ta ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1196_WTrt_H__WTrts_H_Ointros_I13_J) ).

thf(154,axiom,
    ! [Pa: $i,Hb: $i,Ea: $i,Esa: $i,Ts: $i] :
      ( ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) )
     => ( hBOOL @ ( wTrts @ Pa @ Hb @ Ea @ Esa @ Ts ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1195_wts__wts_H) ).

thf(155,axiom,
    ! [Pa: $i,Hb: $i,Ea: $i,Esa: $i,Ts: $i] :
      ( ( hBOOL @ ( wTrts @ Pa @ Hb @ Ea @ Esa @ Ts ) )
     => ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1194_wts_H__wts) ).

thf(156,axiom,
    ! [Pa: $i,Hb: $i,Ea: $i,Esa: $i,Ts: $i] :
      ( ( hBOOL @ ( wTrts @ Pa @ Hb @ Ea @ Esa @ Ts ) )
    <=> ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1193_wts_H__iff__wts) ).

thf(176,axiom,
    ! [M: $i,Ta: $i,Esa: $i,Ts: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i] :
      ( ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ nt ) )
     => ( ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) )
       => ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ ( call_list_char @ Eb @ M @ Esa ) @ Ta ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1173_WTrtCallNT) ).

thf(177,axiom,
    ! [H_b: $i,Pa: $i,Hb: $i,Ea: $i,Esa: $i,Ts: $i] :
      ( ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) )
     => ( ( hBOOL @ ( hext @ Hb @ H_b ) )
       => ( hBOOL @ ( wTrts_1 @ Pa @ H_b @ Ea @ Esa @ Ts ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1172_WTrts__hext__mono) ).

thf(207,axiom,
    ! [M: $i,Esa: $i,Eb: $i,S0: $i,A: $i,S_1: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_1 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ Eb @ M @ Esa ) ) @ S0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_1 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1142_CallRedsThrowObj) ).

thf(208,axiom,
    ! [M: $i,Esa: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ Eb @ M @ Esa ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ E_b @ M @ Esa ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1141_CallRedsObj) ).

thf(209,axiom,
    ! [Eb: $i,M: $i,Esa: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ ( throw_list_char @ Eb ) @ M @ Esa ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1140_red__reds_OCallThrowObj) ).

thf(210,axiom,
    ! [M: $i,Esa: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ Eb @ M @ Esa ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ E_b @ M @ Esa ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1139_red__reds_OCallObj) ).

thf(234,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_1115_WTrt_H__WTrts_H_Ointros_I9_J) ).

thf(235,axiom,
    ! [F: $i,D: $i,Ta: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i] :
      ( ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ nt ) )
     => ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ ( fAcc_list_char @ Eb @ F @ D ) @ Ta ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1114_WTrtFAccNT) ).

thf(246,axiom,
    ! [E_1_1: $i,E_2: $i,Eb: $i,S: $i,A: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ Eb @ E_1_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1103_CondRedsThrow) ).

thf(247,axiom,
    ! [E_1_1: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ Eb @ E_1_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ E_b @ E_1_1 @ E_2 ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1102_CondReds) ).

thf(248,axiom,
    ! [Eb: $i,E_1_1: $i,E_2: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ ( throw_list_char @ Eb ) @ E_1_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1101_red__reds_OCondThrow) ).

thf(253,axiom,
    ! [E_1_1: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ Eb @ E_1_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ E_b @ E_1_1 @ E_2 ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1096_red__reds_OCondRed) ).

thf(254,axiom,
    ! [B: $i,E_1_1: $i,E_2: $i] :
      ( ( fv @ ( cond_list_char @ B @ E_1_1 @ E_2 ) )
      = ( semila919158006r_bool @ ( semila919158006r_bool @ ( fv @ B ) @ ( fv @ E_1_1 ) ) @ ( fv @ E_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1095_fv__fvs_Osimps_I12_J) ).

thf(262,axiom,
    ! [C_2: $i,B: $i,S: $i,Eb: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( while_list_char @ B @ C_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1087_WhileRedsThrow) ).

thf(278,axiom,
    ! [Bool: $i] :
      ( ( bool @ Bool )
     != null ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1071_val_Osimps_I13_J) ).

thf(279,axiom,
    ! [Bool: $i] :
      ( null
     != ( bool @ Bool ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1070_val_Osimps_I12_J) ).

thf(280,axiom,
    ! [Bool: $i] :
      ( ( bool @ Bool )
     != unit ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1069_val_Osimps_I7_J) ).

thf(281,axiom,
    ! [Bool: $i] :
      ( unit
     != ( bool @ Bool ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1068_val_Osimps_I6_J) ).

thf(282,axiom,
    ! [Bool_1: $i,Bool: $i] :
      ( ( ( bool @ Bool_1 )
        = ( bool @ Bool ) )
    <=> ( ( hBOOL @ Bool_1 )
      <=> ( hBOOL @ Bool ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1067_val_Osimps_I1_J) ).

thf(283,axiom,
    ! [Bool_1: $i,Nat: $i] :
      ( ( bool @ Bool_1 )
     != ( addr @ Nat ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1066_val_Osimps_I20_J) ).

thf(284,axiom,
    ! [Nat: $i,Bool_1: $i] :
      ( ( addr @ Nat )
     != ( bool @ Bool_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1065_val_Osimps_I21_J) ).

thf(325,axiom,
    ! [Ta: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i,T_r: $i] :
      ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ T_r ) )
     => ( ( hBOOL @ ( is_refT @ T_r ) )
       => ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( throw_list_char @ Eb ) @ Ta ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1024_WTrt_H__WTrts_H_Ointros_I21_J) ).

thf(326,axiom,
    ! [Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
      ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ Ta ) )
    <=> ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ Ta ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1023_wt_H__iff__wt) ).

thf(327,axiom,
    ! [Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
      ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ Ta ) )
     => ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ Ta ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1022_wt_H__wt) ).

thf(328,axiom,
    ! [Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
      ( ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ Ta ) )
     => ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ Ta ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1021_wt__wt_H) ).

thf(329,axiom,
    ! [E_2: $i,T_2_2: $i,Pa: $i,Hb: $i,Ea: $i,E_1_1: $i,T_1_1: $i] :
      ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_1_1 @ T_1_1 ) )
     => ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_2 @ T_2_2 ) )
       => ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( seq_list_char @ E_1_1 @ E_2 ) @ T_2_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1020_WTrt_H__WTrts_H_Ointros_I18_J) ).

thf(356,axiom,
    ! [H_b: $i,Hb: $i] :
      ( ( hBOOL @ ( preallocated @ Hb ) )
     => ( ( hBOOL @ ( hext @ Hb @ H_b ) )
       => ( hBOOL @ ( preallocated @ H_b ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_993_preallocated__hext) ).

thf(357,axiom,
    ! [C: $i,Eb: $i,S: $i,A: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_992_CastRedsThrow) ).

thf(359,axiom,
    ! [C: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_990_CastReds) ).

thf(360,axiom,
    ! [C: $i,Eb: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ ( throw_list_char @ Eb ) ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_989_red__reds_OCastThrow) ).

thf(361,axiom,
    ! [C: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ E_b ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_988_red__reds_OCastRed) ).

thf(365,axiom,
    ! [C: $i,Eb: $i] :
      ( ( fv @ ( cast_list_char @ C @ Eb ) )
      = ( fv @ Eb ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_984_fv__fvs_Osimps_I2_J) ).

thf(372,axiom,
    ! [Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
      ( ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ ( throw_list_char @ Eb ) @ Ta ) )
     => ~ ! [T_r_1: $i] :
            ( ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ T_r_1 ) )
           => ~ ( hBOOL @ ( is_refT @ T_r_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_977_WTrt__elim__cases_I4_J) ).

thf(376,axiom,
    ! [Bop: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_973_BinOpRedsThrow1) ).

thf(380,axiom,
    ! [C: $i,Va_1: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C @ Va_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ E_b @ C @ Va_1 @ E_2 ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_969_TryReds) ).

thf(382,axiom,
    ! [Bop: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_b @ Bop @ E_2 ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_967_BinOp1Reds) ).

thf(383,axiom,
    ! [Eb: $i,Bop: $i,E_2: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_966_red__reds_OBinOpThrow1) ).

thf(385,axiom,
    ! [C: $i,Va_1: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C @ Va_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ E_b @ C @ Va_1 @ E_2 ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_964_red__reds_OTryRed) ).

thf(388,axiom,
    ! [Bop: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_b @ Bop @ E_2 ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_961_red__reds_OBinOpRed1) ).

thf(389,axiom,
    ! [E_1_1: $i,Bop: $i,E_2: $i] :
      ( ( fv @ ( binOp_list_char @ E_1_1 @ Bop @ E_2 ) )
      = ( semila919158006r_bool @ ( fv @ E_1_1 ) @ ( fv @ E_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_960_fv__fvs_Osimps_I4_J) ).

thf(399,axiom,
    ! [Ta: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i,T_r: $i] :
      ( ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ T_r ) )
     => ( ( hBOOL @ ( is_refT @ T_r ) )
       => ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ ( throw_list_char @ Eb ) @ Ta ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_950_WTrtThrow) ).

thf(409,axiom,
    ! [F: $i,D: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_940_FAssRedsThrow1) ).

thf(410,axiom,
    ! [E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_939_SeqRedsThrow) ).

thf(411,axiom,
    ! [Va_1: $i,Eb: $i,S: $i,A: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_938_LAssRedsThrow) ).

thf(413,axiom,
    ! [F: $i,D: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ E_b @ F @ D ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_936_FAccReds) ).

thf(415,axiom,
    ! [Eb: $i,F: $i,D: $i,E_2: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_934_red__reds_OFAssThrow1) ).

thf(416,axiom,
    ! [Eb: $i,E_2: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_933_red__reds_OSeqThrow) ).

thf(417,axiom,
    ! [Va_1: $i,Eb: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_932_red__reds_OLAssThrow) ).

thf(418,axiom,
    ! [Eb: $i,S: $i,A: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_931_ThrowRedsThrow) ).

thf(419,axiom,
    ! [Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_930_ThrowReds) ).

thf(421,axiom,
    ! [F: $i,D: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ E_b @ F @ D ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_928_red__reds_OFAccRed) ).

thf(424,axiom,
    ! [Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_925_red__reds_OThrowRed) ).

thf(425,axiom,
    ! [Eb: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_924_red__reds_OThrowThrow) ).

thf(432,axiom,
    ! [F: $i,D: $i,Eb: $i,S: $i,A: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_917_FAccRedsThrow) ).

thf(433,axiom,
    ! [Eb: $i,F: $i,D: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_916_red__reds_OFAccThrow) ).

thf(434,axiom,
    ! [Eb: $i,F: $i,D: $i] :
      ( ( fv @ ( fAcc_list_char @ Eb @ F @ D ) )
      = ( fv @ Eb ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_915_fv__fvs_Osimps_I7_J) ).

thf(436,axiom,
    ! [Eb: $i] :
      ( ( fv @ ( throw_list_char @ Eb ) )
      = ( fv @ Eb ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_913_fv__fvs_Osimps_I14_J) ).

thf(451,axiom,
    ! [F: $i,D: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_b @ F @ D @ E_2 ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_898_FAssReds1) ).

thf(453,axiom,
    ! [F: $i,D: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_b @ F @ D @ E_2 ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_896_red__reds_OFAssRed1) ).

thf(454,axiom,
    ! [E_1_1: $i,F: $i,D: $i,E_2: $i] :
      ( ( fv @ ( fAss_list_char @ E_1_1 @ F @ D @ E_2 ) )
      = ( semila919158006r_bool @ ( fv @ E_1_1 ) @ ( fv @ E_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_895_fv__fvs_Osimps_I8_J) ).

thf(465,axiom,
    ! [E_1_1: $i,E_2: $i] :
      ( ( fv @ ( seq_list_char @ E_1_1 @ E_2 ) )
      = ( semila919158006r_bool @ ( fv @ E_1_1 ) @ ( fv @ E_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_884_fv__fvs_Osimps_I11_J) ).

thf(466,axiom,
    ! [A_2: $i,B_1: $i] :
      ( ( semila919158006r_bool @ A_2 @ B_1 )
      = ( semila919158006r_bool @ B_1 @ A_2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_883_Un__commute) ).

thf(474,axiom,
    ! [A_2: $i] :
      ( ( semila919158006r_bool @ A_2 @ A_2 )
      = A_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_875_Un__absorb) ).

thf(475,axiom,
    ! [A_2: $i,B_1: $i,X_2: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_list_char_bool @ B_1 @ X_2 ) )
       => ( hBOOL @ ( hAPP_list_char_bool @ A_2 @ X_2 ) ) )
     => ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ A_2 @ B_1 ) @ X_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_874_sup1CI) ).

thf(476,axiom,
    ! [A_2: $i,B_1: $i,X_2: $i] :
      ( ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ A_2 @ B_1 ) @ X_2 ) )
     => ( ~ ( hBOOL @ ( hAPP_list_char_bool @ A_2 @ X_2 ) )
       => ( hBOOL @ ( hAPP_list_char_bool @ B_1 @ X_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_873_sup1E) ).

thf(477,axiom,
    ! [A_2: $i,C_2: $i,B_1: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ B_1 ) )
       => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ A_2 ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ ( semila751111325l_bool @ A_2 @ B_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_872_UnCI) ).

thf(484,axiom,
    ! [C_2: $i,A_2: $i,B_1: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ ( semila751111325l_bool @ A_2 @ B_1 ) ) )
     => ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ A_2 ) )
       => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ B_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_865_UnE) ).

thf(503,axiom,
    ! [F_1: $i,G: $i] :
      ( ! [X_1: $i] : ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ F_1 @ X_1 ) ) @ ( hAPP_list_char_bool @ G @ X_1 ) ) )
     => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ F_1 ) @ G ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_846_le__funI) ).

thf(505,axiom,
    ! [Pa: $i,A: $i,B: $i,R_1: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
     => ( ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ B ) )
       => ( ! [Y_1: $i,Z: $i] :
              ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ Y_1 ) @ Z ) ) @ R_1 ) )
             => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ Z ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
               => ( ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ Z ) )
                 => ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ Y_1 ) ) ) ) )
         => ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ A ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_844_converse__rtrancl__induct) ).

thf(509,axiom,
    ! [X_2: $i,Z_1: $i,R_1: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Z_1 ) ) @ ( transi2024712006on_val @ R_1 ) ) )
     => ( ( X_2 != Z_1 )
       => ~ ! [Y_1: $i] :
              ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Y_1 ) ) @ R_1 ) )
             => ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ Y_1 ) @ Z_1 ) ) @ ( transi2024712006on_val @ R_1 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_840_converse__rtranclE) ).

thf(513,axiom,
    ! [A: $i,B: $i,R_1: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
     => ( ( A != B )
       => ~ ! [Y_1: $i] :
              ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ Y_1 ) ) @ ( transi2024712006on_val @ R_1 ) ) )
             => ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ Y_1 ) @ B ) ) @ R_1 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_836_rtranclE) ).

thf(518,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_831_wf__prog__wwf__prog) ).

thf(519,axiom,
    ! [F_1: $i,G: $i] :
      ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ F_1 ) @ G ) )
    <=> ! [X_1: $i] : ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ F_1 @ X_1 ) ) @ ( hAPP_list_char_bool @ G @ X_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_830_le__fun__def) ).

thf(520,axiom,
    ! [X_2: $i,F_1: $i,G: $i] :
      ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ F_1 ) @ G ) )
     => ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ F_1 @ X_2 ) ) @ ( hAPP_list_char_bool @ G @ X_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_829_le__funD) ).

thf(521,axiom,
    ! [X_2: $i,F_1: $i,G: $i] :
      ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ F_1 ) @ G ) )
     => ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ F_1 @ X_2 ) ) @ ( hAPP_list_char_bool @ G @ X_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_828_le__funE) ).

thf(522,axiom,
    ! [X_2: $i,Y_2: $i] :
      ( ( X_2 = Y_2 )
    <=> ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) )
        & ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_827_order__eq__iff) ).

thf(523,axiom,
    ! [X_2: $i,Y_2: $i] :
      ( ( X_2 = Y_2 )
     => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_826_order__eq__refl) ).

thf(524,axiom,
    ! [Y_2: $i,X_2: $i] :
      ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) )
     => ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) )
      <=> ( X_2 = Y_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_825_order__antisym__conv) ).

thf(525,axiom,
    ! [C_2: $i,A: $i,B: $i] :
      ( ( A = B )
     => ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B ) @ C_2 ) )
       => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A ) @ C_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_824_ord__eq__le__trans) ).

thf(526,axiom,
    ! [C_2: $i,A: $i,B: $i] :
      ( ( A = B )
     => ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ C_2 ) @ B ) )
       => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ C_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_823_xt1_I3_J) ).

thf(527,axiom,
    ! [C_2: $i,A: $i,B: $i] :
      ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A ) @ B ) )
     => ( ( B = C_2 )
       => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A ) @ C_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_822_ord__le__eq__trans) ).

thf(528,axiom,
    ! [C_2: $i,B: $i,A: $i] :
      ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B ) @ A ) )
     => ( ( B = C_2 )
       => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ C_2 ) @ A ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_821_xt1_I4_J) ).

thf(529,axiom,
    ! [X_2: $i,Y_2: $i] :
      ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) )
     => ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) )
       => ( X_2 = Y_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_820_order__antisym) ).

thf(530,axiom,
    ! [Z_1: $i,X_2: $i,Y_2: $i] :
      ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) )
     => ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ Z_1 ) )
       => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Z_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_819_order__trans) ).

thf(531,axiom,
    ! [Y_2: $i,X_2: $i] :
      ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) )
     => ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) )
       => ( X_2 = Y_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_818_xt1_I5_J) ).

thf(532,axiom,
    ! [Z_1: $i,Y_2: $i,X_2: $i] :
      ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) )
     => ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Z_1 ) @ Y_2 ) )
       => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Z_1 ) @ X_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_817_xt1_I6_J) ).

thf(551,axiom,
    ! [Pa: $i,A: $i,B: $i,R_1: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
     => ( ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ A ) )
       => ( ! [Y_1: $i,Z: $i] :
              ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ Y_1 ) ) @ ( transi2024712006on_val @ R_1 ) ) )
             => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ Y_1 ) @ Z ) ) @ R_1 ) )
               => ( ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ Y_1 ) )
                 => ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ Z ) ) ) ) )
         => ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ B ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_798_rtrancl__induct) ).

thf(554,axiom,
    ! [X_2: $i] : ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ X_2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_795_order__refl) ).

thf(556,axiom,
    ! [Y_3: $i] :
      ( ( Y_3 != none_val )
     => ~ ! [A_1: $i] :
            ( Y_3
           != ( hAPP_val_option_val @ some_val @ A_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_793_option_Oexhaust) ).

thf(575,axiom,
    ! [Pa: $i,Ax: $i,Ay: $i,Bx: $i,By: $i,R_1: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Ax ) @ Ay ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Bx ) @ By ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
     => ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ Ax ) @ Ay ) )
       => ( ! [A_1: $i,B_2: $i,Aa: $i,Ba: $i] :
              ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Ax ) @ Ay ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B_2 ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
             => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Aa ) @ Ba ) ) ) @ R_1 ) )
               => ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ A_1 ) @ B_2 ) )
                 => ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ Aa ) @ Ba ) ) ) ) )
         => ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ Bx ) @ By ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_774_rtrancl__induct2) ).

thf(591,axiom,
    ! [Pa: $i,Ax: $i,Ay: $i,Bx: $i,By: $i,R_1: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Ax ) @ Ay ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Bx ) @ By ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
     => ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ Bx ) @ By ) )
       => ( ! [A_1: $i,B_2: $i,Aa: $i,Ba: $i] :
              ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Aa ) @ Ba ) ) ) @ R_1 ) )
             => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Aa ) @ Ba ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Bx ) @ By ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
               => ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ Aa ) @ Ba ) )
                 => ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ A_1 ) @ B_2 ) ) ) ) )
         => ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ Ax ) @ Ay ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_758_converse__rtrancl__induct2) ).

thf(607,axiom,
    ! [Xa_1: $i,Xb_1: $i,Za: $i,Zb: $i,R_1: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Xa_1 ) @ Xb_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Za ) @ Zb ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
     => ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Xa_1 ) @ Xb_1 )
         != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Za ) @ Zb ) )
       => ~ ! [A_1: $i,B_2: $i] :
              ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Xa_1 ) @ Xb_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B_2 ) ) ) @ R_1 ) )
             => ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Za ) @ Zb ) ) ) @ ( transi2024712006on_val @ R_1 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_742_converse__rtranclE2) ).

thf(609,axiom,
    ! [B_1: $i,A_2: $i] :
      ( ! [X_1: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_1 ) @ A_2 ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_1 ) @ B_1 ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ A_2 ) @ B_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_740_subsetI) ).

thf(617,axiom,
    ! [C_2: $i,A: $i,B: $i,R_1: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
     => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ B ) @ C_2 ) ) @ ( transi2024712006on_val @ R_1 ) ) )
       => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ C_2 ) ) @ ( transi2024712006on_val @ R_1 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_732_rtrancl__trans) ).

thf(621,axiom,
    ! [C_2: $i,A: $i,B: $i,R_1: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
     => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ B ) @ C_2 ) ) @ R_1 ) )
       => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ C_2 ) ) @ ( transi2024712006on_val @ R_1 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_728_rtrancl_Ortrancl__into__rtrancl) ).

thf(625,axiom,
    ! [C_2: $i,A: $i,B: $i,R_1: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ R_1 ) )
     => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ B ) @ C_2 ) ) @ ( transi2024712006on_val @ R_1 ) ) )
       => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ C_2 ) ) @ ( transi2024712006on_val @ R_1 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_724_converse__rtrancl__into__rtrancl) ).

thf(629,axiom,
    ! [R_1: $i] :
      ( ( transi2024712006on_val @ ( transi2024712006on_val @ R_1 ) )
      = ( transi2024712006on_val @ R_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_720_rtrancl__idemp) ).

thf(633,axiom,
    ! [A_2: $i,B_1: $i] :
      ( ( A_2 = B_1 )
     => ~ ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) )
         => ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ A_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_716_equalityE) ).

thf(634,axiom,
    ! [C: $i,A_2: $i,B_1: $i] :
      ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) )
     => ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ C ) )
       => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ C ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_715_subset__trans) ).

thf(635,axiom,
    ! [X_2: $i,A_2: $i,B_1: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ A_2 ) @ B_1 ) )
     => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ A_2 ) )
       => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ B_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_714_set__mp) ).

thf(642,axiom,
    ! [B_1: $i,X_2: $i,A_2: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ A_2 ) )
     => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ A_2 ) @ B_1 ) )
       => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ B_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_707_set__rev__mp) ).

thf(649,axiom,
    ! [X_2: $i,A_2: $i,B_1: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ A_2 ) @ B_1 ) )
     => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ A_2 ) )
       => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ B_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_700_in__mono) ).

thf(656,axiom,
    ! [A_2: $i,B_1: $i] :
      ( ( A_2 = B_1 )
     => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ A_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_693_equalityD2) ).

thf(657,axiom,
    ! [A_2: $i,B_1: $i] :
      ( ( A_2 = B_1 )
     => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_692_equalityD1) ).

thf(658,axiom,
    ! [A_2: $i,B_1: $i] :
      ( ( A_2 = B_1 )
    <=> ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) )
        & ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ A_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_691_set__eq__subset) ).

thf(659,axiom,
    ! [A_2: $i] : ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ A_2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_690_subset__refl) ).

thf(664,axiom,
    ! [X_3: $i] :
      ( ( hAPP_option_val_val @ the_val @ ( hAPP_val_option_val @ some_val @ X_3 ) )
      = X_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_685_the_Osimps) ).

thf(665,axiom,
    ! [R_1: $i,S: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ R_1 ) @ ( transi2024712006on_val @ S ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ ( transi2024712006on_val @ R_1 ) ) @ ( transi2024712006on_val @ S ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_684_rtrancl__subset__rtrancl) ).

thf(668,axiom,
    ! [R_2: $i,S_4: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ R_2 ) @ S_4 ) )
     => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ S_4 ) @ ( transi2024712006on_val @ R_2 ) ) )
       => ( ( transi2024712006on_val @ S_4 )
          = ( transi2024712006on_val @ R_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_681_rtrancl__subset) ).

thf(671,axiom,
    ! [R_1: $i,S: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ R_1 ) @ S ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ ( transi2024712006on_val @ R_1 ) ) @ ( transi2024712006on_val @ S ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_678_rtrancl__mono) ).

thf(674,axiom,
    ! [C_2: $i,A_2: $i,B_1: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ A_2 ) @ B_1 ) )
     => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ A_2 ) )
       => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ B_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_675_subsetD) ).

thf(681,axiom,
    ! [A_2: $i,B_1: $i] :
      ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) )
     => ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ A_2 ) )
       => ( A_2 = B_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_668_equalityI) ).

thf(682,axiom,
    ! [P_1: $i,R_1: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ P_1 ) @ R_1 ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ P_1 ) @ ( transi2024712006on_val @ R_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_667_r__into__rtrancl) ).

thf(688,axiom,
    ! [A: $i,R_1: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ A ) ) @ ( transi2024712006on_val @ R_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_661_rtrancl_Ortrancl__refl) ).

thf(695,axiom,
    ! [L_0: $i,Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 @ 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 @ L_b ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_654_Red__lcl__add) ).

thf(702,axiom,
    ! [Va_1: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_647_LAssReds) ).

thf(703,axiom,
    ! [E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_646_SeqReds) ).

thf(704,axiom,
    ! [M_1: $i,N: $i,K: $i,X_2: $i] :
      ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
        = ( hAPP_val_option_val @ some_val @ X_2 ) )
    <=> ( ( ( hAPP_l207779698on_val @ N @ K )
          = ( hAPP_val_option_val @ some_val @ X_2 ) )
        | ( ( ( hAPP_l207779698on_val @ N @ K )
            = none_val )
          & ( ( hAPP_l207779698on_val @ M_1 @ K )
            = ( hAPP_val_option_val @ some_val @ X_2 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_645_map__add__Some__iff) ).

thf(705,axiom,
    ! [M_1: $i,N: $i,K: $i,X_2: $i] :
      ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
        = ( hAPP_val_option_val @ some_val @ X_2 ) )
     => ( ( ( hAPP_l207779698on_val @ N @ K )
          = ( hAPP_val_option_val @ some_val @ X_2 ) )
        | ( ( ( hAPP_l207779698on_val @ N @ K )
            = none_val )
          & ( ( hAPP_l207779698on_val @ M_1 @ K )
            = ( hAPP_val_option_val @ some_val @ X_2 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_644_map__add__SomeD) ).

thf(707,axiom,
    ! [T_2: $i,K: $i,X_2: $i] :
      ~ ! [X_1: $i] :
          ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ T_2 @ K @ ( hAPP_val_option_val @ some_val @ X_2 ) ) @ X_1 )
          = none_val ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_642_map__upd__nonempty) ).

thf(710,axiom,
    ! [T_2: $i,K: $i,X_2: $i] :
      ~ ! [X_1: $i] :
          ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ T_2 @ K @ ( hAPP_val_option_val @ some_val @ X_2 ) ) @ X_1 )
          = none_val ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_639_map__upd__nonempty) ).

thf(718,axiom,
    ! [M_1: $i,N: $i,K: $i] :
      ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
        = none_val )
    <=> ( ( ( hAPP_l207779698on_val @ N @ K )
          = none_val )
        & ( ( hAPP_l207779698on_val @ M_1 @ K )
          = none_val ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_631_map__add__None) ).

thf(727,axiom,
    ! [X_2: $i] :
      ( ( X_2 != none_val )
    <=> ? [Y_1: $i] :
          ( X_2
          = ( hAPP_val_option_val @ some_val @ Y_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_622_not__None__eq) ).

thf(732,axiom,
    ! [X_2: $i] :
      ( ! [Y_1: $i] :
          ( X_2
         != ( hAPP_val_option_val @ some_val @ Y_1 ) )
    <=> ( X_2 = none_val ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_617_not__Some__eq) ).

thf(737,axiom,
    ! [A_4: $i] :
      ( ( hAPP_val_option_val @ some_val @ A_4 )
     != none_val ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_612_option_Osimps_I3_J) ).

thf(742,axiom,
    ! [A_5: $i] :
      ( none_val
     != ( hAPP_val_option_val @ some_val @ A_5 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_607_option_Osimps_I2_J) ).

thf(753,axiom,
    ! [X_2: $i,Pa: $i,Q_1: $i] :
      ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Pa ) @ Q_1 ) )
     => ( ( hBOOL @ ( hAPP_list_char_bool @ Pa @ X_2 ) )
       => ( hBOOL @ ( hAPP_list_char_bool @ Q_1 @ X_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_596_predicate1D) ).

thf(754,axiom,
    ! [Q_1: $i,Pa: $i,X_2: $i] :
      ( ( hBOOL @ ( hAPP_list_char_bool @ Pa @ X_2 ) )
     => ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Pa ) @ Q_1 ) )
       => ( hBOOL @ ( hAPP_list_char_bool @ Q_1 @ X_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_595_rev__predicate1D) ).

thf(756,axiom,
    ! [Eb: $i,H_0: $i,L_0: $i,E_b: $i,H_1: $i,L_1_1: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 @ H_0 ) @ L_0 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_1 ) @ L_1_1 ) ) ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ ( dom_list_char_val @ L_0 ) ) @ ( dom_list_char_val @ L_1_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_593_red__lcl__incr) ).

thf(764,axiom,
    ! [Exp1: $i,Exp2: $i,A_6: $i,Ty: $i,Exp: $i] :
      ( ( seq_list_char @ Exp1 @ Exp2 )
     != ( block_list_char @ A_6 @ Ty @ Exp ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_585_exp_Osimps_I197_J) ).

thf(765,axiom,
    ! [A_7: $i,Exp_1: $i,Exp1_1: $i,Exp2_1: $i] :
      ( ( lAss_list_char @ A_7 @ Exp_1 )
     != ( seq_list_char @ Exp1_1 @ Exp2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_584_exp_Osimps_I144_J) ).

thf(766,axiom,
    ! [Exp1_2: $i,Exp2_2: $i,A_8: $i,Exp_2: $i] :
      ( ( seq_list_char @ Exp1_2 @ Exp2_2 )
     != ( lAss_list_char @ A_8 @ Exp_2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_583_exp_Osimps_I145_J) ).

thf(775,axiom,
    ! [A: $i,Exp_8: $i,A_3: $i,Exp_7: $i] :
      ( ( ( lAss_list_char @ A @ Exp_8 )
        = ( lAss_list_char @ A_3 @ Exp_7 ) )
    <=> ( ( A = A_3 )
        & ( Exp_8 = Exp_7 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_574_exp_Osimps_I6_J) ).

thf(776,axiom,
    ! [Exp1_6: $i,Exp2_6: $i,Exp1_5: $i,Exp2_5: $i] :
      ( ( ( seq_list_char @ Exp1_6 @ Exp2_6 )
        = ( seq_list_char @ Exp1_5 @ Exp2_5 ) )
    <=> ( ( Exp1_6 = Exp1_5 )
        & ( Exp2_6 = Exp2_5 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_573_exp_Osimps_I11_J) ).

thf(778,axiom,
    ! [A_14: $i,Exp_10: $i,A_13: $i,Ty_5: $i,Exp_9: $i] :
      ( ( lAss_list_char @ A_14 @ Exp_10 )
     != ( block_list_char @ A_13 @ Ty_5 @ Exp_9 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_571_exp_Osimps_I142_J) ).

thf(779,axiom,
    ! [A_15: $i,Ty_6: $i,Exp_11: $i,Exp1_7: $i,Exp2_7: $i] :
      ( ( block_list_char @ A_15 @ Ty_6 @ Exp_11 )
     != ( seq_list_char @ Exp1_7 @ Exp2_7 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_570_exp_Osimps_I196_J) ).

thf(780,axiom,
    ! [A_17: $i,Ty_7: $i,Exp_13: $i,A_16: $i,Exp_12: $i] :
      ( ( block_list_char @ A_17 @ Ty_7 @ Exp_13 )
     != ( lAss_list_char @ A_16 @ Exp_12 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_569_exp_Osimps_I143_J) ).

thf(781,axiom,
    ! [Va_1: $i,Eb: $i,A_2: $i] :
      ( ( hBOOL @ ( d_list_char @ ( lAss_list_char @ Va_1 @ Eb ) @ A_2 ) )
    <=> ( hBOOL @ ( d_list_char @ Eb @ A_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_568__092_060D_062___092_060D_062s_Osimps_I6_J) ).

thf(784,axiom,
    ! [H_4: $i,Hb: $i,H_b: $i] :
      ( ( hBOOL @ ( hext @ Hb @ H_b ) )
     => ( ( hBOOL @ ( hext @ H_b @ H_4 ) )
       => ( hBOOL @ ( hext @ Hb @ H_4 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_565_hext__trans) ).

thf(786,axiom,
    ! [H_b: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
      ( ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ Ta ) )
     => ( ( hBOOL @ ( hext @ Hb @ H_b ) )
       => ( hBOOL @ ( wTrt_1 @ Pa @ H_b @ Ea @ Eb @ Ta ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_563_WTrt__hext__mono) ).

thf(793,axiom,
    ! [Hb: $i] : ( hBOOL @ ( hext @ Hb @ Hb ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_556_hext__refl) ).

thf(796,axiom,
    ! [E_2: $i,T_2_2: $i,Pa: $i,Hb: $i,Ea: $i,E_1_1: $i,T_1_1: $i] :
      ( ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ E_1_1 @ T_1_1 ) )
     => ( ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ E_2 @ T_2_2 ) )
       => ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ ( seq_list_char @ E_1_1 @ E_2 ) @ T_2_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_553_WTrtSeq) ).

thf(832,axiom,
    ! [F_1: $i,G: $i,X_2: $i,Y_2: $i] :
      ( ( map_ad325961431ar_val @ F_1 @ ( fun_up1149430426on_val @ G @ X_2 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
      = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ F_1 @ G ) @ X_2 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_517_map__add__upd) ).

thf(835,axiom,
    ! [F_1: $i,G: $i,X_2: $i,Y_2: $i] :
      ( ( map_ad1185064968ar_val @ F_1 @ ( fun_up204312361on_val @ G @ X_2 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
      = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ F_1 @ G ) @ X_2 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_514_map__add__upd) ).

thf(868,axiom,
    ! [E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_481_red__reds_OSeqRed) ).

thf(869,axiom,
    ! [Va_1: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
     => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_480_red__reds_OLAssRed) ).

thf(872,axiom,
    ! [X_2: $i,A_2: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ A_2 ) )
    <=> ( hBOOL @ ( hAPP_P282169671l_bool @ A_2 @ X_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_477_mem__def) ).

thf(879,axiom,
    ! [M_1: $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_1 @ N ) @ K )
        = ( hAPP_val_option_val @ some_val @ Xx ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_470_map__add__find__right) ).

thf(917,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_432_map__add__assoc) ).

thf(976,axiom,
    ! [L_0: $i,Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 @ 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 @ L_b ) ) ) ) ) @ ( red @ Pa ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_373_red__lcl__add) ).

thf(993,axiom,
    ! [A: $i,A_3: $i] :
      ( ( ( hAPP_val_option_val @ some_val @ A )
        = ( hAPP_val_option_val @ some_val @ A_3 ) )
    <=> ( A = A_3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_356_option_Oinject) ).

thf(999,axiom,
    ! [Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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_350_red__hext__incr) ).

thf(1003,axiom,
    ! [Pa: $i] :
      ( ? [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
    <=> ? [A_1: $i,B_2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_346_split__paired__Ex) ).

thf(1004,axiom,
    ! [Pa: $i] :
      ( ? [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
    <=> ? [A_1: $i,B_2: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_345_split__paired__Ex) ).

thf(1005,axiom,
    ! [Pa: $i] :
      ( ? [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
    <=> ? [A_1: $i,B_2: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_344_split__paired__Ex) ).

thf(1019,axiom,
    ! [P_1: $i] :
      ~ ! [X_1: $i,Y_1: $i] :
          ( P_1
         != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_1 ) @ Y_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_330_PairE) ).

thf(1020,axiom,
    ! [P_1: $i] :
      ~ ! [X_1: $i,Y_1: $i] :
          ( P_1
         != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_1 ) @ Y_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_329_PairE) ).

thf(1021,axiom,
    ! [P_1: $i] :
      ~ ! [X_1: $i,Y_1: $i] :
          ( P_1
         != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_1 ) @ Y_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_328_PairE) ).

thf(1035,axiom,
    ! [Y_2: $i] :
      ~ ! [A_1: $i,B_2: $i] :
          ( Y_2
         != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B_2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_314_prod_Oexhaust) ).

thf(1036,axiom,
    ! [Y_2: $i] :
      ~ ! [A_1: $i,B_2: $i] :
          ( Y_2
         != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B_2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_313_prod_Oexhaust) ).

thf(1037,axiom,
    ! [Y_2: $i] :
      ~ ! [A_1: $i,B_2: $i] :
          ( Y_2
         != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B_2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_312_prod_Oexhaust) ).

thf(1055,axiom,
    ! [S_4: $i,R_2: $i] :
      ( ! [X_1: $i,Xa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_1 ) @ Xa ) ) @ R_2 ) )
        <=> ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_1 ) @ Xa ) ) @ S_4 ) ) )
    <=> ( R_2 = S_4 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_294_pred__equals__eq2) ).

thf(1101,axiom,
    ! [X_2: $i,Pa: $i] :
      ( ! [A_1: $i,B_2: $i,C_4: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ B_2 ) @ C_4 ) ) ) )
     => ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_248_prod__induct3) ).

thf(1102,axiom,
    ! [X_2: $i,Pa: $i] :
      ( ! [A_1: $i,B_2: $i,C_4: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_2 ) @ C_4 ) ) ) )
     => ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_247_prod__induct3) ).

thf(1125,axiom,
    ! [Y_2: $i] :
      ~ ! [A_1: $i,B_2: $i,C_4: $i] :
          ( Y_2
         != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ B_2 ) @ C_4 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_224_prod__cases3) ).

thf(1126,axiom,
    ! [Y_2: $i] :
      ~ ! [A_1: $i,B_2: $i,C_4: $i] :
          ( Y_2
         != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_2 ) @ C_4 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_223_prod__cases3) ).

thf(1131,axiom,
    ! [F_1: $i,X_2: $i,Y_2: $i] :
      ( ( ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 )
        = F_1 )
    <=> ( ( hAPP_P2094403585on_val @ F_1 @ X_2 )
        = Y_2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_218_fun__upd__idem__iff) ).

thf(1134,axiom,
    ! [F_1: $i,X_2: $i,Y_2: $i] :
      ( ( ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 )
        = F_1 )
    <=> ( ( hAPP_l207779698on_val @ F_1 @ X_2 )
        = Y_2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_215_fun__upd__idem__iff) ).

thf(1135,axiom,
    ! [F_1: $i,X_2: $i,Y_2: $i,Z_1: $i] :
      ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 ) @ X_2 @ Z_1 )
      = ( fun_up204312361on_val @ F_1 @ X_2 @ Z_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_214_fun__upd__upd) ).

thf(1138,axiom,
    ! [F_1: $i,X_2: $i,Y_2: $i,Z_1: $i] :
      ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 ) @ X_2 @ Z_1 )
      = ( fun_up1149430426on_val @ F_1 @ X_2 @ Z_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_211_fun__upd__upd) ).

thf(1139,axiom,
    ! [F_1: $i,X_2: $i,Y_2: $i] :
      ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 ) @ X_2 )
      = Y_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_210_fun__upd__same) ).

thf(1142,axiom,
    ! [F_1: $i,X_2: $i,Y_2: $i] :
      ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 ) @ X_2 )
      = Y_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_207_fun__upd__same) ).

thf(1143,axiom,
    ! [F_1: $i,Y_2: $i,Z_1: $i,X_2: $i] :
      ( ( ( Z_1 = X_2 )
       => ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
          = Y_2 ) )
      & ( ( Z_1 != X_2 )
       => ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
          = ( hAPP_P2094403585on_val @ F_1 @ Z_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_206_fun__upd__apply) ).

thf(1146,axiom,
    ! [F_1: $i,Y_2: $i,Z_1: $i,X_2: $i] :
      ( ( ( Z_1 = X_2 )
       => ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
          = Y_2 ) )
      & ( ( Z_1 != X_2 )
       => ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
          = ( hAPP_l207779698on_val @ F_1 @ Z_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_203_fun__upd__apply) ).

thf(1147,axiom,
    ! [M_1: $i,B: $i,D_1: $i,A: $i,C_2: $i] :
      ( ( A != C_2 )
     => ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ M_1 @ A @ B ) @ C_2 @ D_1 )
        = ( fun_up204312361on_val @ ( fun_up204312361on_val @ M_1 @ C_2 @ D_1 ) @ A @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_202_fun__upd__twist) ).

thf(1150,axiom,
    ! [M_1: $i,B: $i,D_1: $i,A: $i,C_2: $i] :
      ( ( A != C_2 )
     => ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M_1 @ A @ B ) @ C_2 @ D_1 )
        = ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M_1 @ C_2 @ D_1 ) @ A @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_199_fun__upd__twist) ).

thf(1151,axiom,
    ! [F_1: $i,Y_2: $i,Z_1: $i,X_2: $i] :
      ( ( Z_1 != X_2 )
     => ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
        = ( hAPP_P2094403585on_val @ F_1 @ Z_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_198_fun__upd__other) ).

thf(1154,axiom,
    ! [F_1: $i,Y_2: $i,Z_1: $i,X_2: $i] :
      ( ( Z_1 != X_2 )
     => ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
        = ( hAPP_l207779698on_val @ F_1 @ Z_1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_195_fun__upd__other) ).

thf(1155,axiom,
    ! [F_1: $i,X_2: $i,Y_2: $i] :
      ( ( ( hAPP_P2094403585on_val @ F_1 @ X_2 )
        = Y_2 )
     => ( ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 )
        = F_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_194_fun__upd__idem) ).

thf(1158,axiom,
    ! [F_1: $i,X_2: $i,Y_2: $i] :
      ( ( ( hAPP_l207779698on_val @ F_1 @ X_2 )
        = Y_2 )
     => ( ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 )
        = F_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_191_fun__upd__idem) ).

thf(1159,axiom,
    ! [F_1: $i,B: $i,A: $i,X_1: $i] :
      ( ( ( X_1 = A )
       => ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ A @ B ) @ X_1 )
          = B ) )
      & ( ( X_1 != A )
       => ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ A @ B ) @ X_1 )
          = ( hAPP_P2094403585on_val @ F_1 @ X_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_190_fun__upd__def) ).

thf(1162,axiom,
    ! [F_1: $i,B: $i,A: $i,X_1: $i] :
      ( ( ( X_1 = A )
       => ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A @ B ) @ X_1 )
          = B ) )
      & ( ( X_1 != A )
       => ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A @ B ) @ X_1 )
          = ( hAPP_l207779698on_val @ F_1 @ X_1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_187_fun__upd__def) ).

thf(1176,axiom,
    ! [Pa: $i] :
      ( ! [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
    <=> ! [A_1: $i,B_2: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_173_split__paired__All) ).

thf(1177,axiom,
    ! [Pa: $i] :
      ( ! [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
    <=> ! [A_1: $i,B_2: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_172_split__paired__All) ).

thf(1178,axiom,
    ! [Pa: $i] :
      ( ! [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
    <=> ! [A_1: $i,B_2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_171_split__paired__All) ).

thf(1220,axiom,
    ! [A: $i,B: $i,A_3: $i,B_3: $i] :
      ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B )
        = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_3 ) @ B_3 ) )
    <=> ( ( A = A_3 )
        & ( B = B_3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_129_Pair__eq) ).

thf(1221,axiom,
    ! [A: $i,B: $i,A_3: $i,B_3: $i] :
      ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B )
        = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_3 ) @ B_3 ) )
    <=> ( ( A = A_3 )
        & ( B = B_3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_128_Pair__eq) ).

thf(1222,axiom,
    ! [A: $i,B: $i,A_3: $i,B_3: $i] :
      ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B )
        = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_3 ) @ B_3 ) )
    <=> ( ( A = A_3 )
        & ( B = B_3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_127_Pair__eq) ).

thf(1264,axiom,
    ! [A: $i,B: $i,A_3: $i,B_3: $i] :
      ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B )
        = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_3 ) @ B_3 ) )
     => ~ ( ( A = A_3 )
         => ( B != B_3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_Pair__inject) ).

thf(1265,axiom,
    ! [A: $i,B: $i,A_3: $i,B_3: $i] :
      ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B )
        = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_3 ) @ B_3 ) )
     => ~ ( ( A = A_3 )
         => ( B != B_3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_Pair__inject) ).

thf(1266,axiom,
    ! [A: $i,B: $i,A_3: $i,B_3: $i] :
      ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B )
        = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_3 ) @ B_3 ) )
     => ~ ( ( A = A_3 )
         => ( B != B_3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_Pair__inject) ).

thf(1306,axiom,
    ! [Y_2: $i] :
      ~ ! [A_1: $i,B_2: $i,C_4: $i,D_2: $i] :
          ( Y_2
         != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_2 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ C_4 ) @ D_2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_prod__cases4) ).

thf(1318,axiom,
    ! [X_2: $i,Pa: $i] :
      ( ! [A_1: $i,B_2: $i,C_4: $i,D_2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_2 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ C_4 ) @ D_2 ) ) ) ) )
     => ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_prod__induct4) ).

thf(1331,axiom,
    ! [M_1: $i,A: $i,X_2: $i,N: $i,Y_2: $i] :
      ( ( ( fun_up204312361on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ X_2 ) )
        = ( fun_up204312361on_val @ N @ A @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
     => ( X_2 = Y_2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_map__upd__eqD1) ).

thf(1334,axiom,
    ! [M_1: $i,A: $i,X_2: $i,N: $i,Y_2: $i] :
      ( ( ( fun_up1149430426on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ X_2 ) )
        = ( fun_up1149430426on_val @ N @ A @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
     => ( X_2 = Y_2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_map__upd__eqD1) ).

thf(1335,axiom,
    ! [T_2: $i,K: $i,X_2: $i] :
      ( ( ( hAPP_P2094403585on_val @ T_2 @ K )
        = ( hAPP_val_option_val @ some_val @ X_2 ) )
     => ( ( fun_up204312361on_val @ T_2 @ K @ ( hAPP_val_option_val @ some_val @ X_2 ) )
        = T_2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_map__upd__triv) ).

thf(1338,axiom,
    ! [T_2: $i,K: $i,X_2: $i] :
      ( ( ( hAPP_l207779698on_val @ T_2 @ K )
        = ( hAPP_val_option_val @ some_val @ X_2 ) )
     => ( ( fun_up1149430426on_val @ T_2 @ K @ ( hAPP_val_option_val @ some_val @ X_2 ) )
        = T_2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_map__upd__triv) ).

thf(1339,axiom,
    ! [M_1: $i,A: $i,B: $i,X_2: $i,Y_2: $i] :
      ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
        = ( hAPP_val_option_val @ some_val @ Y_2 ) )
    <=> ( ( ( X_2 = A )
          & ( B = Y_2 ) )
        | ( ( X_2 != A )
          & ( ( hAPP_P2094403585on_val @ M_1 @ X_2 )
            = ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_map__upd__Some__unfold) ).

thf(1342,axiom,
    ! [M_1: $i,A: $i,B: $i,X_2: $i,Y_2: $i] :
      ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
        = ( hAPP_val_option_val @ some_val @ Y_2 ) )
    <=> ( ( ( X_2 = A )
          & ( B = Y_2 ) )
        | ( ( X_2 != A )
          & ( ( hAPP_l207779698on_val @ M_1 @ X_2 )
            = ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_map__upd__Some__unfold) ).

thf(1343,axiom,
    hBOOL @ ( wf_pro755087577t_char @ wf_J_mdecl @ p ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_assms) ).

thf(1344,axiom,
    ! [F_1: $i,X_2: $i] :
      ( ( fun_up204312361on_val @ F_1 @ X_2 @ ( hAPP_P2094403585on_val @ F_1 @ X_2 ) )
      = F_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_fun__upd__triv) ).

thf(1347,axiom,
    ! [F_1: $i,X_2: $i] :
      ( ( fun_up1149430426on_val @ F_1 @ X_2 @ ( hAPP_l207779698on_val @ F_1 @ X_2 ) )
      = F_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_fun__upd__triv) ).

thf(1348,axiom,
    hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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(1349,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(1350,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2028072621l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_) ).

thf(1351,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P378063101l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_) ).

thf(1352,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1221872711l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It) ).

thf(1353,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2123002749l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__prod_I) ).

thf(1354,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P801803911r_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc) ).

thf(1355,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1183499705r_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__) ).

thf(1356,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1240100515r_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc) ).

thf(1357,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P929449287r_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_032) ).

thf(1358,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P975284999r_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod) ).

thf(1359,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P124632071l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_) ).

thf(1360,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2010574925r_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List_031) ).

thf(1361,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P27757617y_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List) ).

thf(1362,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P824029447r_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String___030) ).

thf(1363,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1002912327r_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__) ).

thf(1364,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1333315679l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli) ).

thf(1365,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(1366,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P738987199l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc_) ).

thf(1367,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P504978887l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_) ).

thf(1368,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2077557811l_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_029) ).

thf(1369,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(1370,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P468446343l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Optio) ).

thf(1371,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(1372,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1926698759r_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String___028) ).

thf(1373,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P828904212r_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String___027) ).

thf(1374,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2053453961y_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__) ).

thf(1375,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2115985549l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__List__Olist_Itc_) ).

thf(1376,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2118621157r_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__Oexp_Itc__) ).

thf(1377,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1187139874r_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__Type__Ot) ).

thf(1378,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1907982426r_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__List__Ol) ).

thf(1379,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1574824955y_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__List__Olist_Itc__T) ).

thf(1380,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P659547099r_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_026) ).

thf(1381,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_025) ).

thf(1382,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1680401186r_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(1383,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(1384,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P748443392y_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__Type__Oty_J_00) ).

thf(1385,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(1386,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P92196306r_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J__024) ).

thf(1387,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P476431815r_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J__023) ).

thf(1388,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2014166431r_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_) ).

thf(1389,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P71593144l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__St_022) ).

thf(1390,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P499022727r_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__St) ).

thf(1391,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_021) ).

thf(1392,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1632759357r_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(1393,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(1395,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1980787287l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__) ).

thf(1396,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1261741735l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__O) ).

thf(1397,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1297673713l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O) ).

thf(1398,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f2129782055l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mt) ).

thf(1399,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f126445617l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__) ).

thf(1400,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1145574243l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mt) ).

thf(1401,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f258424141l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc_) ).

thf(1402,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f272179441l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J__020) ).

thf(1403,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f538118321l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J__019) ).

thf(1404,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f665343921l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J__018) ).

thf(1405,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f851858423l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_) ).

thf(1406,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f528956081l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__017) ).

thf(1407,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f595031537l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc_) ).

thf(1408,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f458849545l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__) ).

thf(1409,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f126136681l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__) ).

thf(1410,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f983152497l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String_) ).

thf(1411,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1754555101l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc_016) ).

thf(1412,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f966411375l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc) ).

thf(1413,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1661305905l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M) ).

thf(1414,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f2028441009l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__HOL__Ob) ).

thf(1415,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1748390065l_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__prod_Itc__List__Olist_Itc__015) ).

thf(1416,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1161798306l_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__prod_Itc__List__Olist_Itc__014) ).

thf(1417,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f288221747l_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__prod_Itc__List__Olist_Itc_) ).

thf(1418,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f348753975l_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__Value__Oval_J_Mtc__List__O) ).

thf(1419,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1314764175l_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__Value__Oval_J_Mtc__Expr__O) ).

thf(1420,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1746574980l_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__Type__Oty_J_Mtc__prod_Itc_) ).

thf(1421,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f433445541l_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__Type__Oty_J_Mtc__List__Oli) ).

thf(1422,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f2050077417l_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__prod__013) ).

thf(1423,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f483496539l_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__prod__012) ).

thf(1424,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f515912112l_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__prod_) ).

thf(1425,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1134950784l_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__fun_I) ).

thf(1426,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__011) ).

thf(1427,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f2106398425l_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(1428,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1780084320l_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__List__Olist_Itc__String__O_010) ).

thf(1429,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f479632753l_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__List__Olist_Itc__String__O_009) ).

thf(1430,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f82569901l_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__List__Olist_Itc__String__O) ).

thf(1431,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f861853459l_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__Expr__Oexp_Itc__List__Olis_008) ).

thf(1432,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f837795298l_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__Expr__Oexp_Itc__List__Olis_007) ).

thf(1433,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1734260017l_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__Expr__Oexp_Itc__List__Olis) ).

thf(1434,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f434955681l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_006) ).

thf(1435,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f91506671l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_005) ).

thf(1436,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f588675559l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc) ).

thf(1437,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f742333458l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc__) ).

thf(1439,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1450446905l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_Itc) ).

thf(1440,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f2071159779l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Value__Oval_Mtc__fun_Itc__Value__Oval_Mtc__HOL__Obool) ).

thf(1441,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(1442,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f54304608l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obool) ).

thf(1443,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1409772418l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__O) ).

thf(1444,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1118567467l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__Value__Oval_J_Mtc__fun_Itc__Expr__Oe) ).

thf(1445,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1889282162l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__Type__Oty_J_Mtc__fun_Itc__prod_Itc__) ).

thf(1446,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1520735791l_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__fun_Itc__prod_I_004) ).

thf(1447,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1931964053l_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__fun_Itc__prod_I_003) ).

thf(1448,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1795246582l_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__fun_Itc__prod_I) ).

thf(1449,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f678833350l_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__fun_Itc__fun_It) ).

thf(1450,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1776419603l_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__fun_Itc__List__) ).

thf(1451,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_002) ).

thf(1452,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(1453,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f986089162l_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__HOL__Obool_J_00) ).

thf(1454,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f998390560l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_M_001) ).

thf(1455,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f539072365l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_M) ).

thf(1456,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f2041029616l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__Str) ).

thf(1457,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f570766339l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_Mt) ).

thf(1458,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1776070952l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Expr__Obop_Mtc__fun_Itc__prod_Itc__Value__Oval_Mtc__V) ).

thf(1459,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(1460,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_ty_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Type__Oty_000tc__HOL__Obool) ).

thf(1461,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_o2007402111l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__String__Ochar_) ).

thf(1462,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_option_val_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__HOL__Obool) ).

thf(1463,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_option_ty_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__HOL__Obool) ).

thf(1464,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(1465,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_l902158906r_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mt) ).

thf(1466,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(1467,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(1468,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_e544220455r_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_000tc__HOL_) ).

thf(1469,axiom,
    is_bool @ fTrue,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_fTrue) ).

thf(1470,axiom,
    is_bool @ fFalse,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_fFalse) ).

thf(1471,axiom,
    ! [B_1_1: $i,B_2_1: $i,B_3_1: $i,B_4_1: $i,B_5_1: $i] : ( is_bool @ ( wTrts_1 @ B_1_1 @ B_2_1 @ B_3_1 @ B_4_1 @ B_5_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_WellTypeRT_OWTrts) ).

thf(1472,axiom,
    ! [B_1_1: $i,B_2_1: $i,B_3_1: $i,B_4_1: $i,B_5_1: $i] : ( is_bool @ ( wTrt_1 @ B_1_1 @ B_2_1 @ B_3_1 @ B_4_1 @ B_5_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_WellTypeRT_OWTrt) ).

thf(1473,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(1474,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(1475,axiom,
    ! [B_1_1: $i,B_2_1: $i,B_3_1: $i] : ( is_bool @ ( fields1147507508t_char @ B_1_1 @ B_2_1 @ B_3_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_TypeRel_OFields_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String_) ).

thf(1476,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(1477,axiom,
    ! [B_1_1: $i,B_2_1: $i,B_3_1: $i,B_4_1: $i,B_5_1: $i] : ( is_bool @ ( wTrts @ B_1_1 @ B_2_1 @ B_3_1 @ B_4_1 @ B_5_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Progress_OWTrts_H) ).

thf(1478,axiom,
    ! [B_1_1: $i,B_2_1: $i,B_3_1: $i,B_4_1: $i,B_5_1: $i] : ( is_bool @ ( wTrt @ B_1_1 @ B_2_1 @ B_3_1 @ B_4_1 @ B_5_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Progress_OWTrt_H) ).

thf(1479,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(1480,axiom,
    ! [B_1_1: $i,B_2_1: $i,B_3_1: $i] : ( is_bool @ ( list_all2_ty_ty @ B_1_1 @ B_2_1 @ B_3_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_List_Olist__all2_000tc__Type__Oty_000tc__Type__Oty) ).

thf(1481,axiom,
    ! [B_1_1: $i] : ( is_bool @ ( distinct_list_char @ B_1_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_List_Odistinct_000tc__List__Olist_Itc__String__Ochar_J) ).

thf(1485,axiom,
    ! [B_1_1: $i] : ( is_bool @ ( preallocated @ B_1_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Exceptions_Opreallocated) ).

thf(1486,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(1487,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(1488,axiom,
    ! [B_1_1: $i] : ( is_bool @ ( finals_list_char @ B_1_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_BigStep_Ofinals_000tc__List__Olist_Itc__String__Ochar_J) ).

thf(1489,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(1490,axiom,
    ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1453283057l_bool @ B_1_1 @ B_2_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__) ).

thf(1491,conjecture,
    hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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(1492,negated_conjecture,
    ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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)],[1491]) ).

thf(1493,plain,
    ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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)],[1492]) ).

thf(1494,plain,
    ( ( ! [P: $i] :
          ( ( is_bool @ P )
         => ( ( P = fTrue )
            | ( P = fFalse ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[138]) ).

thf(1495,plain,
    ( ( ! [P: $i] :
          ( ( is_bool @ P )
         => ( ( P = fTrue )
            | ( P = fFalse ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[146]) ).

thf(1496,plain,
    ( ( ! [M: $i,Ta: $i,Esa: $i,Ts: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i] :
          ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ nt ) )
         => ( ( hBOOL @ ( wTrts @ Pa @ Hb @ Ea @ Esa @ Ts ) )
           => ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( call_list_char @ Eb @ M @ Esa ) @ Ta ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[153]) ).

thf(1497,plain,
    ( ( ! [M: $i,Ta: $i,Esa: $i,Ts: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i] :
          ( ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ nt ) )
         => ( ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) )
           => ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ ( call_list_char @ Eb @ M @ Esa ) @ Ta ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[176]) ).

thf(1498,plain,
    ( ( ! [M: $i,Esa: $i,Eb: $i,S0: $i,A: $i,S_1: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_1 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ Eb @ M @ Esa ) ) @ S0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_1 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[207]) ).

thf(1499,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)],[234]) ).

thf(1500,plain,
    ( ( ! [F: $i,D: $i,Ta: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i] :
          ( ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ nt ) )
         => ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ ( fAcc_list_char @ Eb @ F @ D ) @ Ta ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[235]) ).

thf(1501,plain,
    ( ( ! [E_1_1: $i,E_2: $i,Eb: $i,S: $i,A: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ Eb @ E_1_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[246]) ).

thf(1502,plain,
    ( ( ! [B: $i,E_1_1: $i,E_2: $i] :
          ( ( fv @ ( cond_list_char @ B @ E_1_1 @ E_2 ) )
          = ( semila919158006r_bool @ ( semila919158006r_bool @ ( fv @ B ) @ ( fv @ E_1_1 ) ) @ ( fv @ E_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[254]) ).

thf(1503,plain,
    ( ( ! [C_2: $i,B: $i,S: $i,Eb: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( while_list_char @ B @ C_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[262]) ).

thf(1504,plain,
    ( ( ! [Bool: $i] :
          ( ( bool @ Bool )
         != null ) )
    = $true ),
    inference(unfold_def,[status(thm)],[278]) ).

thf(1505,plain,
    ( ( ! [Bool: $i] :
          ( null
         != ( bool @ Bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[279]) ).

thf(1506,plain,
    ( ( ! [Bool: $i] :
          ( ( bool @ Bool )
         != unit ) )
    = $true ),
    inference(unfold_def,[status(thm)],[280]) ).

thf(1507,plain,
    ( ( ! [Bool: $i] :
          ( unit
         != ( bool @ Bool ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[281]) ).

thf(1508,plain,
    ( ( ! [Bool_1: $i,Nat: $i] :
          ( ( bool @ Bool_1 )
         != ( addr @ Nat ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[283]) ).

thf(1509,plain,
    ( ( ! [Nat: $i,Bool_1: $i] :
          ( ( addr @ Nat )
         != ( bool @ Bool_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[284]) ).

thf(1510,plain,
    ( ( ! [Ta: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i,T_r: $i] :
          ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ T_r ) )
         => ( ( hBOOL @ ( is_refT @ T_r ) )
           => ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( throw_list_char @ Eb ) @ Ta ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[325]) ).

thf(1511,plain,
    ( ( ! [C: $i,Eb: $i,S: $i,A: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[357]) ).

thf(1512,plain,
    ( ( ! [C: $i,Eb: $i] :
          ( ( fv @ ( cast_list_char @ C @ Eb ) )
          = ( fv @ Eb ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[365]) ).

thf(1513,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
          ( ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ ( throw_list_char @ Eb ) @ Ta ) )
         => ~ ! [T_r_1: $i] :
                ( ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ T_r_1 ) )
               => ~ ( hBOOL @ ( is_refT @ T_r_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[372]) ).

thf(1514,plain,
    ( ( ! [Bop: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[376]) ).

thf(1515,plain,
    ( ( ! [E_1_1: $i,Bop: $i,E_2: $i] :
          ( ( fv @ ( binOp_list_char @ E_1_1 @ Bop @ E_2 ) )
          = ( semila919158006r_bool @ ( fv @ E_1_1 ) @ ( fv @ E_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[389]) ).

thf(1516,plain,
    ( ( ! [Ta: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i,T_r: $i] :
          ( ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ T_r ) )
         => ( ( hBOOL @ ( is_refT @ T_r ) )
           => ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ ( throw_list_char @ Eb ) @ Ta ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[399]) ).

thf(1517,plain,
    ( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[409]) ).

thf(1518,plain,
    ( ( ! [E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[410]) ).

thf(1519,plain,
    ( ( ! [Va_1: $i,Eb: $i,S: $i,A: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[411]) ).

thf(1520,plain,
    ( ( ! [F: $i,D: $i,Eb: $i,S: $i,A: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[432]) ).

thf(1521,plain,
    ( ( ! [Eb: $i,F: $i,D: $i] :
          ( ( fv @ ( fAcc_list_char @ Eb @ F @ D ) )
          = ( fv @ Eb ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[434]) ).

thf(1522,plain,
    ( ( ! [Eb: $i] :
          ( ( fv @ ( throw_list_char @ Eb ) )
          = ( fv @ Eb ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[436]) ).

thf(1523,plain,
    ( ( ! [E_1_1: $i,F: $i,D: $i,E_2: $i] :
          ( ( fv @ ( fAss_list_char @ E_1_1 @ F @ D @ E_2 ) )
          = ( semila919158006r_bool @ ( fv @ E_1_1 ) @ ( fv @ E_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[454]) ).

thf(1524,plain,
    ( ( ! [E_1_1: $i,E_2: $i] :
          ( ( fv @ ( seq_list_char @ E_1_1 @ E_2 ) )
          = ( semila919158006r_bool @ ( fv @ E_1_1 ) @ ( fv @ E_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[465]) ).

thf(1525,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ( semila919158006r_bool @ A_2 @ B_1 )
          = ( semila919158006r_bool @ B_1 @ A_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[466]) ).

thf(1526,plain,
    ( ( ! [A_2: $i] :
          ( ( semila919158006r_bool @ A_2 @ A_2 )
          = A_2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[474]) ).

thf(1527,plain,
    ( ( ! [F_1: $i,G: $i] :
          ( ! [X_1: $i] : ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ F_1 @ X_1 ) ) @ ( hAPP_list_char_bool @ G @ X_1 ) ) )
         => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ F_1 ) @ G ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[503]) ).

thf(1528,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)],[518]) ).

thf(1529,plain,
    ( ( ! [F_1: $i,G: $i] :
          ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ F_1 ) @ G ) )
        <=> ! [X_1: $i] : ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ F_1 @ X_1 ) ) @ ( hAPP_list_char_bool @ G @ X_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[519]) ).

thf(1530,plain,
    ( ( ! [X_2: $i,F_1: $i,G: $i] :
          ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ F_1 ) @ G ) )
         => ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ F_1 @ X_2 ) ) @ ( hAPP_list_char_bool @ G @ X_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[520]) ).

thf(1531,plain,
    ( ( ! [X_2: $i,F_1: $i,G: $i] :
          ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ F_1 ) @ G ) )
         => ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ F_1 @ X_2 ) ) @ ( hAPP_list_char_bool @ G @ X_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[521]) ).

thf(1532,plain,
    ( ( ! [Pa: $i,Ax: $i,Ay: $i,Bx: $i,By: $i,R_1: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Ax ) @ Ay ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Bx ) @ By ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
         => ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ Ax ) @ Ay ) )
           => ( ! [A_1: $i,B_2: $i,Aa: $i,Ba: $i] :
                  ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Ax ) @ Ay ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B_2 ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
                 => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Aa ) @ Ba ) ) ) @ R_1 ) )
                   => ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ A_1 ) @ B_2 ) )
                     => ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ Aa ) @ Ba ) ) ) ) )
             => ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ Bx ) @ By ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[575]) ).

thf(1533,plain,
    ( ( ! [Pa: $i,Ax: $i,Ay: $i,Bx: $i,By: $i,R_1: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Ax ) @ Ay ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Bx ) @ By ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
         => ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ Bx ) @ By ) )
           => ( ! [A_1: $i,B_2: $i,Aa: $i,Ba: $i] :
                  ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Aa ) @ Ba ) ) ) @ R_1 ) )
                 => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Aa ) @ Ba ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Bx ) @ By ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
                   => ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ Aa ) @ Ba ) )
                     => ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ A_1 ) @ B_2 ) ) ) ) )
             => ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ Ax ) @ Ay ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[591]) ).

thf(1534,plain,
    ( ( ! [R_1: $i] :
          ( ( transi2024712006on_val @ ( transi2024712006on_val @ R_1 ) )
          = ( transi2024712006on_val @ R_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[629]) ).

thf(1535,plain,
    ( ( ! [M_1: $i,N: $i,K: $i,X_2: $i] :
          ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
            = ( hAPP_val_option_val @ some_val @ X_2 ) )
        <=> ( ( ( hAPP_l207779698on_val @ N @ K )
              = ( hAPP_val_option_val @ some_val @ X_2 ) )
            | ( ( ( hAPP_l207779698on_val @ N @ K )
                = none_val )
              & ( ( hAPP_l207779698on_val @ M_1 @ K )
                = ( hAPP_val_option_val @ some_val @ X_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[704]) ).

thf(1536,plain,
    ( ( ! [M_1: $i,N: $i,K: $i,X_2: $i] :
          ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
            = ( hAPP_val_option_val @ some_val @ X_2 ) )
         => ( ( ( hAPP_l207779698on_val @ N @ K )
              = ( hAPP_val_option_val @ some_val @ X_2 ) )
            | ( ( ( hAPP_l207779698on_val @ N @ K )
                = none_val )
              & ( ( hAPP_l207779698on_val @ M_1 @ K )
                = ( hAPP_val_option_val @ some_val @ X_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[705]) ).

thf(1537,plain,
    ( ( ! [T_2: $i,K: $i,X_2: $i] :
          ~ ! [X_1: $i] :
              ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ T_2 @ K @ ( hAPP_val_option_val @ some_val @ X_2 ) ) @ X_1 )
              = none_val ) )
    = $true ),
    inference(unfold_def,[status(thm)],[710]) ).

thf(1538,plain,
    ( ( ! [M_1: $i,N: $i,K: $i] :
          ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
            = none_val )
        <=> ( ( ( hAPP_l207779698on_val @ N @ K )
              = none_val )
            & ( ( hAPP_l207779698on_val @ M_1 @ K )
              = none_val ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[718]) ).

thf(1539,plain,
    ( ( ! [X_2: $i,Pa: $i,Q_1: $i] :
          ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Pa ) @ Q_1 ) )
         => ( ( hBOOL @ ( hAPP_list_char_bool @ Pa @ X_2 ) )
           => ( hBOOL @ ( hAPP_list_char_bool @ Q_1 @ X_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[753]) ).

thf(1540,plain,
    ( ( ! [Q_1: $i,Pa: $i,X_2: $i] :
          ( ( hBOOL @ ( hAPP_list_char_bool @ Pa @ X_2 ) )
         => ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Pa ) @ Q_1 ) )
           => ( hBOOL @ ( hAPP_list_char_bool @ Q_1 @ X_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[754]) ).

thf(1541,plain,
    ( ( ! [Eb: $i,H_0: $i,L_0: $i,E_b: $i,H_1: $i,L_1_1: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 @ H_0 ) @ L_0 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_1 ) @ L_1_1 ) ) ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ ( dom_list_char_val @ L_0 ) ) @ ( dom_list_char_val @ L_1_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[756]) ).

thf(1542,plain,
    ( ( ! [Exp1: $i,Exp2: $i,A_6: $i,Ty: $i,Exp: $i] :
          ( ( seq_list_char @ Exp1 @ Exp2 )
         != ( block_list_char @ A_6 @ Ty @ Exp ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[764]) ).

thf(1543,plain,
    ( ( ! [A_7: $i,Exp_1: $i,Exp1_1: $i,Exp2_1: $i] :
          ( ( lAss_list_char @ A_7 @ Exp_1 )
         != ( seq_list_char @ Exp1_1 @ Exp2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[765]) ).

thf(1544,plain,
    ( ( ! [Exp1_2: $i,Exp2_2: $i,A_8: $i,Exp_2: $i] :
          ( ( seq_list_char @ Exp1_2 @ Exp2_2 )
         != ( lAss_list_char @ A_8 @ Exp_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[766]) ).

thf(1545,plain,
    ( ( ! [A: $i,Exp_8: $i,A_3: $i,Exp_7: $i] :
          ( ( ( lAss_list_char @ A @ Exp_8 )
            = ( lAss_list_char @ A_3 @ Exp_7 ) )
        <=> ( ( A = A_3 )
            & ( Exp_8 = Exp_7 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[775]) ).

thf(1546,plain,
    ( ( ! [Exp1_6: $i,Exp2_6: $i,Exp1_5: $i,Exp2_5: $i] :
          ( ( ( seq_list_char @ Exp1_6 @ Exp2_6 )
            = ( seq_list_char @ Exp1_5 @ Exp2_5 ) )
        <=> ( ( Exp1_6 = Exp1_5 )
            & ( Exp2_6 = Exp2_5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[776]) ).

thf(1547,plain,
    ( ( ! [A_14: $i,Exp_10: $i,A_13: $i,Ty_5: $i,Exp_9: $i] :
          ( ( lAss_list_char @ A_14 @ Exp_10 )
         != ( block_list_char @ A_13 @ Ty_5 @ Exp_9 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[778]) ).

thf(1548,plain,
    ( ( ! [A_15: $i,Ty_6: $i,Exp_11: $i,Exp1_7: $i,Exp2_7: $i] :
          ( ( block_list_char @ A_15 @ Ty_6 @ Exp_11 )
         != ( seq_list_char @ Exp1_7 @ Exp2_7 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[779]) ).

thf(1549,plain,
    ( ( ! [A_17: $i,Ty_7: $i,Exp_13: $i,A_16: $i,Exp_12: $i] :
          ( ( block_list_char @ A_17 @ Ty_7 @ Exp_13 )
         != ( lAss_list_char @ A_16 @ Exp_12 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[780]) ).

thf(1550,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)],[917]) ).

thf(1551,plain,
    ( ( ! [F_1: $i,X_2: $i,Y_2: $i] :
          ( ( ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 )
            = F_1 )
        <=> ( ( hAPP_P2094403585on_val @ F_1 @ X_2 )
            = Y_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1131]) ).

thf(1552,plain,
    ( ( ! [F_1: $i,X_2: $i,Y_2: $i,Z_1: $i] :
          ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 ) @ X_2 @ Z_1 )
          = ( fun_up204312361on_val @ F_1 @ X_2 @ Z_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1135]) ).

thf(1553,plain,
    ( ( ! [F_1: $i,X_2: $i,Y_2: $i] :
          ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 ) @ X_2 )
          = Y_2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1139]) ).

thf(1554,plain,
    ( ( ! [F_1: $i,Y_2: $i,Z_1: $i,X_2: $i] :
          ( ( ( Z_1 = X_2 )
           => ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
              = Y_2 ) )
          & ( ( Z_1 != X_2 )
           => ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
              = ( hAPP_P2094403585on_val @ F_1 @ Z_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1143]) ).

thf(1555,plain,
    ( ( ! [M_1: $i,B: $i,D_1: $i,A: $i,C_2: $i] :
          ( ( A != C_2 )
         => ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ M_1 @ A @ B ) @ C_2 @ D_1 )
            = ( fun_up204312361on_val @ ( fun_up204312361on_val @ M_1 @ C_2 @ D_1 ) @ A @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1147]) ).

thf(1556,plain,
    ( ( ! [F_1: $i,Y_2: $i,Z_1: $i,X_2: $i] :
          ( ( Z_1 != X_2 )
         => ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
            = ( hAPP_P2094403585on_val @ F_1 @ Z_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1151]) ).

thf(1557,plain,
    ( ( ! [F_1: $i,X_2: $i,Y_2: $i] :
          ( ( ( hAPP_P2094403585on_val @ F_1 @ X_2 )
            = Y_2 )
         => ( ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 )
            = F_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1155]) ).

thf(1558,plain,
    ( ( ! [F_1: $i,B: $i,A: $i,X_1: $i] :
          ( ( ( X_1 = A )
           => ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ A @ B ) @ X_1 )
              = B ) )
          & ( ( X_1 != A )
           => ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ A @ B ) @ X_1 )
              = ( hAPP_P2094403585on_val @ F_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1159]) ).

thf(1559,plain,
    ( ( ! [F_1: $i,X_2: $i] :
          ( ( fun_up204312361on_val @ F_1 @ X_2 @ ( hAPP_P2094403585on_val @ F_1 @ X_2 ) )
          = F_1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1344]) ).

thf(1560,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2028072621l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1350]) ).

thf(1561,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P378063101l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1351]) ).

thf(1562,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1221872711l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1352]) ).

thf(1563,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2123002749l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1353]) ).

thf(1564,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P801803911r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1354]) ).

thf(1565,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1183499705r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1355]) ).

thf(1566,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1240100515r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1356]) ).

thf(1567,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P929449287r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1357]) ).

thf(1568,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P975284999r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1358]) ).

thf(1569,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P124632071l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1359]) ).

thf(1570,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2010574925r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1360]) ).

thf(1571,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P27757617y_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1361]) ).

thf(1572,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P824029447r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1362]) ).

thf(1573,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1002912327r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1363]) ).

thf(1574,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1333315679l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1364]) ).

thf(1575,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)],[1365]) ).

thf(1576,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P738987199l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1366]) ).

thf(1577,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P504978887l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1367]) ).

thf(1578,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2077557811l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1368]) ).

thf(1579,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)],[1369]) ).

thf(1580,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P468446343l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1370]) ).

thf(1581,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)],[1371]) ).

thf(1582,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1926698759r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1372]) ).

thf(1583,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P828904212r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1373]) ).

thf(1584,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2053453961y_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1374]) ).

thf(1585,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2115985549l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1375]) ).

thf(1586,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2118621157r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1376]) ).

thf(1587,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1187139874r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1377]) ).

thf(1588,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1907982426r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1378]) ).

thf(1589,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1574824955y_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1379]) ).

thf(1590,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P659547099r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1380]) ).

thf(1591,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)],[1381]) ).

thf(1592,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1680401186r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1382]) ).

thf(1593,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)],[1383]) ).

thf(1594,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P748443392y_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1384]) ).

thf(1595,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)],[1385]) ).

thf(1596,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P92196306r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1386]) ).

thf(1597,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P476431815r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1387]) ).

thf(1598,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2014166431r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1388]) ).

thf(1599,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P71593144l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1389]) ).

thf(1600,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P499022727r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1390]) ).

thf(1601,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)],[1391]) ).

thf(1602,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1632759357r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1392]) ).

thf(1603,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)],[1393]) ).

thf(1604,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1980787287l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1395]) ).

thf(1605,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1261741735l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1396]) ).

thf(1606,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1297673713l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1397]) ).

thf(1607,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f2129782055l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1398]) ).

thf(1608,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f126445617l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1399]) ).

thf(1609,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1145574243l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1400]) ).

thf(1610,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f258424141l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1401]) ).

thf(1611,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f272179441l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1402]) ).

thf(1612,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f538118321l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1403]) ).

thf(1613,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f665343921l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1404]) ).

thf(1614,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f851858423l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1405]) ).

thf(1615,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f528956081l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1406]) ).

thf(1616,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f595031537l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1407]) ).

thf(1617,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f458849545l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1408]) ).

thf(1618,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f126136681l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1409]) ).

thf(1619,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f983152497l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1410]) ).

thf(1620,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1754555101l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1411]) ).

thf(1621,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f966411375l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1412]) ).

thf(1622,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1661305905l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1413]) ).

thf(1623,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f2028441009l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1414]) ).

thf(1624,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1748390065l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1415]) ).

thf(1625,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1161798306l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1416]) ).

thf(1626,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f288221747l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1417]) ).

thf(1627,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f348753975l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1418]) ).

thf(1628,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1314764175l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1419]) ).

thf(1629,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1746574980l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1420]) ).

thf(1630,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f433445541l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1421]) ).

thf(1631,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f2050077417l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1422]) ).

thf(1632,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f483496539l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1423]) ).

thf(1633,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f515912112l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1424]) ).

thf(1634,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1134950784l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1425]) ).

thf(1635,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)],[1426]) ).

thf(1636,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f2106398425l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1427]) ).

thf(1637,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1780084320l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1428]) ).

thf(1638,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f479632753l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1429]) ).

thf(1639,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f82569901l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1430]) ).

thf(1640,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f861853459l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1431]) ).

thf(1641,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f837795298l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1432]) ).

thf(1642,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1734260017l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1433]) ).

thf(1643,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f434955681l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1434]) ).

thf(1644,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f91506671l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1435]) ).

thf(1645,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f588675559l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1436]) ).

thf(1646,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f742333458l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1437]) ).

thf(1647,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1450446905l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1439]) ).

thf(1648,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f2071159779l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1440]) ).

thf(1649,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)],[1441]) ).

thf(1650,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f54304608l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1442]) ).

thf(1651,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1409772418l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1443]) ).

thf(1652,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1118567467l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1444]) ).

thf(1653,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1889282162l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1445]) ).

thf(1654,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1520735791l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1446]) ).

thf(1655,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1931964053l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1447]) ).

thf(1656,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1795246582l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1448]) ).

thf(1657,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f678833350l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1449]) ).

thf(1658,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1776419603l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1450]) ).

thf(1659,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)],[1451]) ).

thf(1660,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)],[1452]) ).

thf(1661,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f986089162l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1453]) ).

thf(1662,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f998390560l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1454]) ).

thf(1663,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f539072365l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1455]) ).

thf(1664,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f2041029616l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1456]) ).

thf(1665,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f570766339l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1457]) ).

thf(1666,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1776070952l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1458]) ).

thf(1667,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)],[1459]) ).

thf(1668,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_ty_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1460]) ).

thf(1669,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_o2007402111l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1461]) ).

thf(1670,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_option_val_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1462]) ).

thf(1671,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_option_ty_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1463]) ).

thf(1672,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)],[1464]) ).

thf(1673,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_l902158906r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1465]) ).

thf(1674,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)],[1466]) ).

thf(1675,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)],[1467]) ).

thf(1676,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_e544220455r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1468]) ).

thf(1677,plain,
    ( ( is_bool @ fTrue )
    = $true ),
    inference(unfold_def,[status(thm)],[1469]) ).

thf(1678,plain,
    ( ( is_bool @ fFalse )
    = $true ),
    inference(unfold_def,[status(thm)],[1470]) ).

thf(1679,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i,B_3_1: $i,B_4_1: $i,B_5_1: $i] : ( is_bool @ ( wTrts_1 @ B_1_1 @ B_2_1 @ B_3_1 @ B_4_1 @ B_5_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1471]) ).

thf(1680,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i,B_3_1: $i,B_4_1: $i,B_5_1: $i] : ( is_bool @ ( wTrt_1 @ B_1_1 @ B_2_1 @ B_3_1 @ B_4_1 @ B_5_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1472]) ).

thf(1681,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)],[1473]) ).

thf(1682,plain,
    ( ( ! [B_1_1: $i] : ( is_bool @ ( is_refT @ B_1_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1474]) ).

thf(1683,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i,B_3_1: $i] : ( is_bool @ ( fields1147507508t_char @ B_1_1 @ B_2_1 @ B_3_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1475]) ).

thf(1684,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( assigned @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1476]) ).

thf(1685,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i,B_3_1: $i,B_4_1: $i,B_5_1: $i] : ( is_bool @ ( wTrts @ B_1_1 @ B_2_1 @ B_3_1 @ B_4_1 @ B_5_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1477]) ).

thf(1686,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i,B_3_1: $i,B_4_1: $i,B_5_1: $i] : ( is_bool @ ( wTrt @ B_1_1 @ B_2_1 @ B_3_1 @ B_4_1 @ B_5_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1478]) ).

thf(1687,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hext @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1479]) ).

thf(1688,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i,B_3_1: $i] : ( is_bool @ ( list_all2_ty_ty @ B_1_1 @ B_2_1 @ B_3_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1480]) ).

thf(1689,plain,
    ( ( ! [B_1_1: $i] : ( is_bool @ ( distinct_list_char @ B_1_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1481]) ).

thf(1690,plain,
    ( ( ! [B_1_1: $i] : ( is_bool @ ( preallocated @ B_1_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1485]) ).

thf(1691,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)],[1486]) ).

thf(1692,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)],[1487]) ).

thf(1693,plain,
    ( ( ! [B_1_1: $i] : ( is_bool @ ( finals_list_char @ B_1_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1488]) ).

thf(1694,plain,
    ( ( ! [B_1_1: $i] : ( is_bool @ ( final_list_char @ B_1_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1489]) ).

thf(1695,plain,
    ( ( ~ ( hBOOL @ fFalse ) )
    = $true ),
    inference(unfold_def,[status(thm)],[139]) ).

thf(1696,plain,
    ( ( hBOOL @ fTrue )
    = $true ),
    inference(unfold_def,[status(thm)],[147]) ).

thf(1697,plain,
    ( ( ! [P: $i] :
          ( ( hBOOL @ P )
          | ( hBOOL @ ( hAPP_bool_bool @ fNot @ P ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[148]) ).

thf(1698,plain,
    ( ( ! [P: $i] :
          ( ~ ( hBOOL @ ( hAPP_bool_bool @ fNot @ P ) )
          | ~ ( hBOOL @ P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[149]) ).

thf(1699,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i,Esa: $i,Ts: $i] :
          ( ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) )
         => ( hBOOL @ ( wTrts @ Pa @ Hb @ Ea @ Esa @ Ts ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[154]) ).

thf(1700,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i,Esa: $i,Ts: $i] :
          ( ( hBOOL @ ( wTrts @ Pa @ Hb @ Ea @ Esa @ Ts ) )
         => ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[155]) ).

thf(1701,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i,Esa: $i,Ts: $i] :
          ( ( hBOOL @ ( wTrts @ Pa @ Hb @ Ea @ Esa @ Ts ) )
        <=> ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[156]) ).

thf(1702,plain,
    ( ( ! [H_b: $i,Pa: $i,Hb: $i,Ea: $i,Esa: $i,Ts: $i] :
          ( ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) )
         => ( ( hBOOL @ ( hext @ Hb @ H_b ) )
           => ( hBOOL @ ( wTrts_1 @ Pa @ H_b @ Ea @ Esa @ Ts ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[177]) ).

thf(1703,plain,
    ( ( ! [M: $i,Esa: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ Eb @ M @ Esa ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ E_b @ M @ Esa ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[208]) ).

thf(1704,plain,
    ( ( ! [Eb: $i,M: $i,Esa: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ ( throw_list_char @ Eb ) @ M @ Esa ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[209]) ).

thf(1705,plain,
    ( ( ! [M: $i,Esa: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ Eb @ M @ Esa ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ E_b @ M @ Esa ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[210]) ).

thf(1706,plain,
    ( ( ! [E_1_1: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ Eb @ E_1_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ E_b @ E_1_1 @ E_2 ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[247]) ).

thf(1707,plain,
    ( ( ! [Eb: $i,E_1_1: $i,E_2: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ ( throw_list_char @ Eb ) @ E_1_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[248]) ).

thf(1708,plain,
    ( ( ! [E_1_1: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ Eb @ E_1_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ E_b @ E_1_1 @ E_2 ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[253]) ).

thf(1709,plain,
    ( ( ! [Bool_1: $i,Bool: $i] :
          ( ( ( bool @ Bool_1 )
            = ( bool @ Bool ) )
        <=> ( ( hBOOL @ Bool_1 )
          <=> ( hBOOL @ Bool ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[282]) ).

thf(1710,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
          ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ Ta ) )
        <=> ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ Ta ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[326]) ).

thf(1711,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
          ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ Ta ) )
         => ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ Ta ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[327]) ).

thf(1712,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
          ( ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ Ta ) )
         => ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ Ta ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[328]) ).

thf(1713,plain,
    ( ( ! [E_2: $i,T_2_2: $i,Pa: $i,Hb: $i,Ea: $i,E_1_1: $i,T_1_1: $i] :
          ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_1_1 @ T_1_1 ) )
         => ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_2 @ T_2_2 ) )
           => ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( seq_list_char @ E_1_1 @ E_2 ) @ T_2_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[329]) ).

thf(1714,plain,
    ( ( ! [H_b: $i,Hb: $i] :
          ( ( hBOOL @ ( preallocated @ Hb ) )
         => ( ( hBOOL @ ( hext @ Hb @ H_b ) )
           => ( hBOOL @ ( preallocated @ H_b ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[356]) ).

thf(1715,plain,
    ( ( ! [C: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[359]) ).

thf(1716,plain,
    ( ( ! [C: $i,Eb: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ ( throw_list_char @ Eb ) ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[360]) ).

thf(1717,plain,
    ( ( ! [C: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ E_b ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[361]) ).

thf(1718,plain,
    ( ( ! [C: $i,Va_1: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C @ Va_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ E_b @ C @ Va_1 @ E_2 ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[380]) ).

thf(1719,plain,
    ( ( ! [Bop: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_b @ Bop @ E_2 ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[382]) ).

thf(1720,plain,
    ( ( ! [Eb: $i,Bop: $i,E_2: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[383]) ).

thf(1721,plain,
    ( ( ! [C: $i,Va_1: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C @ Va_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ E_b @ C @ Va_1 @ E_2 ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[385]) ).

thf(1722,plain,
    ( ( ! [Bop: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_b @ Bop @ E_2 ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[388]) ).

thf(1723,plain,
    ( ( ! [F: $i,D: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ E_b @ F @ D ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[413]) ).

thf(1724,plain,
    ( ( ! [Eb: $i,F: $i,D: $i,E_2: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[415]) ).

thf(1725,plain,
    ( ( ! [Eb: $i,E_2: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[416]) ).

thf(1726,plain,
    ( ( ! [Va_1: $i,Eb: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[417]) ).

thf(1727,plain,
    ( ( ! [Eb: $i,S: $i,A: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[418]) ).

thf(1728,plain,
    ( ( ! [Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[419]) ).

thf(1729,plain,
    ( ( ! [F: $i,D: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ E_b @ F @ D ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[421]) ).

thf(1730,plain,
    ( ( ! [Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[424]) ).

thf(1731,plain,
    ( ( ! [Eb: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[425]) ).

thf(1732,plain,
    ( ( ! [Eb: $i,F: $i,D: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[433]) ).

thf(1733,plain,
    ( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_b @ F @ D @ E_2 ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[451]) ).

thf(1734,plain,
    ( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_b @ F @ D @ E_2 ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[453]) ).

thf(1735,plain,
    ( ( ! [A_2: $i,B_1: $i,X_2: $i] :
          ( ( ~ ( hBOOL @ ( hAPP_list_char_bool @ B_1 @ X_2 ) )
           => ( hBOOL @ ( hAPP_list_char_bool @ A_2 @ X_2 ) ) )
         => ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ A_2 @ B_1 ) @ X_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[475]) ).

thf(1736,plain,
    ( ( ! [A_2: $i,B_1: $i,X_2: $i] :
          ( ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ A_2 @ B_1 ) @ X_2 ) )
         => ( ~ ( hBOOL @ ( hAPP_list_char_bool @ A_2 @ X_2 ) )
           => ( hBOOL @ ( hAPP_list_char_bool @ B_1 @ X_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[476]) ).

thf(1737,plain,
    ( ( ! [A_2: $i,C_2: $i,B_1: $i] :
          ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ B_1 ) )
           => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ A_2 ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ ( semila751111325l_bool @ A_2 @ B_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[477]) ).

thf(1738,plain,
    ( ( ! [C_2: $i,A_2: $i,B_1: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ ( semila751111325l_bool @ A_2 @ B_1 ) ) )
         => ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ A_2 ) )
           => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ B_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[484]) ).

thf(1739,plain,
    ( ( ! [Pa: $i,A: $i,B: $i,R_1: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
         => ( ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ B ) )
           => ( ! [Y_1: $i,Z: $i] :
                  ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ Y_1 ) @ Z ) ) @ R_1 ) )
                 => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ Z ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
                   => ( ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ Z ) )
                     => ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ Y_1 ) ) ) ) )
             => ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ A ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[505]) ).

thf(1740,plain,
    ( ( ! [X_2: $i,Z_1: $i,R_1: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Z_1 ) ) @ ( transi2024712006on_val @ R_1 ) ) )
         => ( ( X_2 != Z_1 )
           => ~ ! [Y_1: $i] :
                  ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Y_1 ) ) @ R_1 ) )
                 => ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ Y_1 ) @ Z_1 ) ) @ ( transi2024712006on_val @ R_1 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[509]) ).

thf(1741,plain,
    ( ( ! [A: $i,B: $i,R_1: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
         => ( ( A != B )
           => ~ ! [Y_1: $i] :
                  ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ Y_1 ) ) @ ( transi2024712006on_val @ R_1 ) ) )
                 => ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ Y_1 ) @ B ) ) @ R_1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[513]) ).

thf(1742,plain,
    ( ( ! [X_2: $i,Y_2: $i] :
          ( ( X_2 = Y_2 )
        <=> ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) )
            & ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[522]) ).

thf(1743,plain,
    ( ( ! [X_2: $i,Y_2: $i] :
          ( ( X_2 = Y_2 )
         => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[523]) ).

thf(1744,plain,
    ( ( ! [Y_2: $i,X_2: $i] :
          ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) )
         => ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) )
          <=> ( X_2 = Y_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[524]) ).

thf(1745,plain,
    ( ( ! [C_2: $i,A: $i,B: $i] :
          ( ( A = B )
         => ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B ) @ C_2 ) )
           => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A ) @ C_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[525]) ).

thf(1746,plain,
    ( ( ! [C_2: $i,A: $i,B: $i] :
          ( ( A = B )
         => ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ C_2 ) @ B ) )
           => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ C_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[526]) ).

thf(1747,plain,
    ( ( ! [C_2: $i,A: $i,B: $i] :
          ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A ) @ B ) )
         => ( ( B = C_2 )
           => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A ) @ C_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[527]) ).

thf(1748,plain,
    ( ( ! [C_2: $i,B: $i,A: $i] :
          ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B ) @ A ) )
         => ( ( B = C_2 )
           => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ C_2 ) @ A ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[528]) ).

thf(1749,plain,
    ( ( ! [X_2: $i,Y_2: $i] :
          ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) )
         => ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) )
           => ( X_2 = Y_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[529]) ).

thf(1750,plain,
    ( ( ! [Z_1: $i,X_2: $i,Y_2: $i] :
          ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) )
         => ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ Z_1 ) )
           => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Z_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[530]) ).

thf(1751,plain,
    ( ( ! [Y_2: $i,X_2: $i] :
          ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) )
         => ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) )
           => ( X_2 = Y_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[531]) ).

thf(1752,plain,
    ( ( ! [Z_1: $i,Y_2: $i,X_2: $i] :
          ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) )
         => ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Z_1 ) @ Y_2 ) )
           => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Z_1 ) @ X_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[532]) ).

thf(1753,plain,
    ( ( ! [Pa: $i,A: $i,B: $i,R_1: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
         => ( ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ A ) )
           => ( ! [Y_1: $i,Z: $i] :
                  ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ Y_1 ) ) @ ( transi2024712006on_val @ R_1 ) ) )
                 => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ Y_1 ) @ Z ) ) @ R_1 ) )
                   => ( ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ Y_1 ) )
                     => ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ Z ) ) ) ) )
             => ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ B ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[551]) ).

thf(1754,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ X_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[554]) ).

thf(1755,plain,
    ( ( ! [Y_3: $i] :
          ( ( Y_3 != none_val )
         => ~ ! [A_1: $i] :
                ( Y_3
               != ( hAPP_val_option_val @ some_val @ A_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[556]) ).

thf(1756,plain,
    ( ( ! [Xa_1: $i,Xb_1: $i,Za: $i,Zb: $i,R_1: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Xa_1 ) @ Xb_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Za ) @ Zb ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
         => ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Xa_1 ) @ Xb_1 )
             != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Za ) @ Zb ) )
           => ~ ! [A_1: $i,B_2: $i] :
                  ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Xa_1 ) @ Xb_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B_2 ) ) ) @ R_1 ) )
                 => ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Za ) @ Zb ) ) ) @ ( transi2024712006on_val @ R_1 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[607]) ).

thf(1757,plain,
    ( ( ! [B_1: $i,A_2: $i] :
          ( ! [X_1: $i] :
              ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_1 ) @ A_2 ) )
             => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_1 ) @ B_1 ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ A_2 ) @ B_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[609]) ).

thf(1758,plain,
    ( ( ! [C_2: $i,A: $i,B: $i,R_1: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
         => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ B ) @ C_2 ) ) @ ( transi2024712006on_val @ R_1 ) ) )
           => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ C_2 ) ) @ ( transi2024712006on_val @ R_1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[617]) ).

thf(1759,plain,
    ( ( ! [C_2: $i,A: $i,B: $i,R_1: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
         => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ B ) @ C_2 ) ) @ R_1 ) )
           => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ C_2 ) ) @ ( transi2024712006on_val @ R_1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[621]) ).

thf(1760,plain,
    ( ( ! [C_2: $i,A: $i,B: $i,R_1: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ R_1 ) )
         => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ B ) @ C_2 ) ) @ ( transi2024712006on_val @ R_1 ) ) )
           => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ C_2 ) ) @ ( transi2024712006on_val @ R_1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[625]) ).

thf(1761,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ( A_2 = B_1 )
         => ~ ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) )
             => ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ A_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[633]) ).

thf(1762,plain,
    ( ( ! [C: $i,A_2: $i,B_1: $i] :
          ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) )
         => ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ C ) )
           => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ C ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[634]) ).

thf(1763,plain,
    ( ( ! [X_2: $i,A_2: $i,B_1: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ A_2 ) @ B_1 ) )
         => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ A_2 ) )
           => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ B_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[635]) ).

thf(1764,plain,
    ( ( ! [B_1: $i,X_2: $i,A_2: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ A_2 ) )
         => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ A_2 ) @ B_1 ) )
           => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ B_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[642]) ).

thf(1765,plain,
    ( ( ! [X_2: $i,A_2: $i,B_1: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ A_2 ) @ B_1 ) )
         => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ A_2 ) )
           => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ B_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[649]) ).

thf(1766,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ( A_2 = B_1 )
         => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ A_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[656]) ).

thf(1767,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ( A_2 = B_1 )
         => ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[657]) ).

thf(1768,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ( A_2 = B_1 )
        <=> ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) )
            & ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ A_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[658]) ).

thf(1769,plain,
    ( ( ! [A_2: $i] : ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ A_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[659]) ).

thf(1770,plain,
    ( ( ! [X_3: $i] :
          ( ( hAPP_option_val_val @ the_val @ ( hAPP_val_option_val @ some_val @ X_3 ) )
          = X_3 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[664]) ).

thf(1771,plain,
    ( ( ! [R_1: $i,S: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ R_1 ) @ ( transi2024712006on_val @ S ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ ( transi2024712006on_val @ R_1 ) ) @ ( transi2024712006on_val @ S ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[665]) ).

thf(1772,plain,
    ( ( ! [R_2: $i,S_4: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ R_2 ) @ S_4 ) )
         => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ S_4 ) @ ( transi2024712006on_val @ R_2 ) ) )
           => ( ( transi2024712006on_val @ S_4 )
              = ( transi2024712006on_val @ R_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[668]) ).

thf(1773,plain,
    ( ( ! [R_1: $i,S: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ R_1 ) @ S ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ ( transi2024712006on_val @ R_1 ) ) @ ( transi2024712006on_val @ S ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[671]) ).

thf(1774,plain,
    ( ( ! [C_2: $i,A_2: $i,B_1: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ A_2 ) @ B_1 ) )
         => ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ A_2 ) )
           => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ B_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[674]) ).

thf(1775,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) )
         => ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ A_2 ) )
           => ( A_2 = B_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[681]) ).

thf(1776,plain,
    ( ( ! [P_1: $i,R_1: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ P_1 ) @ R_1 ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ P_1 ) @ ( transi2024712006on_val @ R_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[682]) ).

thf(1777,plain,
    ( ( ! [A: $i,R_1: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ A ) ) @ ( transi2024712006on_val @ R_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[688]) ).

thf(1778,plain,
    ( ( ! [L_0: $i,Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 @ 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 @ L_b ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[695]) ).

thf(1779,plain,
    ( ( ! [Va_1: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[702]) ).

thf(1780,plain,
    ( ( ! [E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[703]) ).

thf(1781,plain,
    ( ( ! [T_2: $i,K: $i,X_2: $i] :
          ~ ! [X_1: $i] :
              ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ T_2 @ K @ ( hAPP_val_option_val @ some_val @ X_2 ) ) @ X_1 )
              = none_val ) )
    = $true ),
    inference(unfold_def,[status(thm)],[707]) ).

thf(1782,plain,
    ( ( ! [X_2: $i] :
          ( ( X_2 != none_val )
        <=> ? [Y_1: $i] :
              ( X_2
              = ( hAPP_val_option_val @ some_val @ Y_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[727]) ).

thf(1783,plain,
    ( ( ! [X_2: $i] :
          ( ! [Y_1: $i] :
              ( X_2
             != ( hAPP_val_option_val @ some_val @ Y_1 ) )
        <=> ( X_2 = none_val ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[732]) ).

thf(1784,plain,
    ( ( ! [A_4: $i] :
          ( ( hAPP_val_option_val @ some_val @ A_4 )
         != none_val ) )
    = $true ),
    inference(unfold_def,[status(thm)],[737]) ).

thf(1785,plain,
    ( ( ! [A_5: $i] :
          ( none_val
         != ( hAPP_val_option_val @ some_val @ A_5 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[742]) ).

thf(1786,plain,
    ( ( ! [Va_1: $i,Eb: $i,A_2: $i] :
          ( ( hBOOL @ ( d_list_char @ ( lAss_list_char @ Va_1 @ Eb ) @ A_2 ) )
        <=> ( hBOOL @ ( d_list_char @ Eb @ A_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[781]) ).

thf(1787,plain,
    ( ( ! [H_4: $i,Hb: $i,H_b: $i] :
          ( ( hBOOL @ ( hext @ Hb @ H_b ) )
         => ( ( hBOOL @ ( hext @ H_b @ H_4 ) )
           => ( hBOOL @ ( hext @ Hb @ H_4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[784]) ).

thf(1788,plain,
    ( ( ! [H_b: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
          ( ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ Ta ) )
         => ( ( hBOOL @ ( hext @ Hb @ H_b ) )
           => ( hBOOL @ ( wTrt_1 @ Pa @ H_b @ Ea @ Eb @ Ta ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[786]) ).

thf(1789,plain,
    ( ( ! [Hb: $i] : ( hBOOL @ ( hext @ Hb @ Hb ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[793]) ).

thf(1790,plain,
    ( ( ! [E_2: $i,T_2_2: $i,Pa: $i,Hb: $i,Ea: $i,E_1_1: $i,T_1_1: $i] :
          ( ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ E_1_1 @ T_1_1 ) )
         => ( ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ E_2 @ T_2_2 ) )
           => ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ ( seq_list_char @ E_1_1 @ E_2 ) @ T_2_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[796]) ).

thf(1791,plain,
    ( ( ! [F_1: $i,G: $i,X_2: $i,Y_2: $i] :
          ( ( map_ad325961431ar_val @ F_1 @ ( fun_up1149430426on_val @ G @ X_2 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ F_1 @ G ) @ X_2 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[832]) ).

thf(1792,plain,
    ( ( ! [F_1: $i,G: $i,X_2: $i,Y_2: $i] :
          ( ( map_ad1185064968ar_val @ F_1 @ ( fun_up204312361on_val @ G @ X_2 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ F_1 @ G ) @ X_2 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[835]) ).

thf(1793,plain,
    ( ( ! [E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[868]) ).

thf(1794,plain,
    ( ( ! [Va_1: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
         => ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[869]) ).

thf(1795,plain,
    ( ( ! [X_2: $i,A_2: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ A_2 ) )
        <=> ( hBOOL @ ( hAPP_P282169671l_bool @ A_2 @ X_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[872]) ).

thf(1796,plain,
    ( ( ! [M_1: $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_1 @ N ) @ K )
            = ( hAPP_val_option_val @ some_val @ Xx ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[879]) ).

thf(1797,plain,
    ( ( ! [L_0: $i,Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 @ 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 @ L_b ) ) ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[976]) ).

thf(1798,plain,
    ( ( ! [A: $i,A_3: $i] :
          ( ( ( hAPP_val_option_val @ some_val @ A )
            = ( hAPP_val_option_val @ some_val @ A_3 ) )
        <=> ( A = A_3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[993]) ).

thf(1799,plain,
    ( ( ! [Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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)],[999]) ).

thf(1800,plain,
    ( ( ! [Pa: $i] :
          ( ? [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
        <=> ? [A_1: $i,B_2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1003]) ).

thf(1801,plain,
    ( ( ! [Pa: $i] :
          ( ? [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
        <=> ? [A_1: $i,B_2: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1004]) ).

thf(1802,plain,
    ( ( ! [Pa: $i] :
          ( ? [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
        <=> ? [A_1: $i,B_2: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1005]) ).

thf(1803,plain,
    ( ( ! [P_1: $i] :
          ~ ! [X_1: $i,Y_1: $i] :
              ( P_1
             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_1 ) @ Y_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1019]) ).

thf(1804,plain,
    ( ( ! [P_1: $i] :
          ~ ! [X_1: $i,Y_1: $i] :
              ( P_1
             != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_1 ) @ Y_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1020]) ).

thf(1805,plain,
    ( ( ! [P_1: $i] :
          ~ ! [X_1: $i,Y_1: $i] :
              ( P_1
             != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_1 ) @ Y_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1021]) ).

thf(1806,plain,
    ( ( ! [Y_2: $i] :
          ~ ! [A_1: $i,B_2: $i] :
              ( Y_2
             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1035]) ).

thf(1807,plain,
    ( ( ! [Y_2: $i] :
          ~ ! [A_1: $i,B_2: $i] :
              ( Y_2
             != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1036]) ).

thf(1808,plain,
    ( ( ! [Y_2: $i] :
          ~ ! [A_1: $i,B_2: $i] :
              ( Y_2
             != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1037]) ).

thf(1809,plain,
    ( ( ! [S_4: $i,R_2: $i] :
          ( ! [X_1: $i,Xa: $i] :
              ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_1 ) @ Xa ) ) @ R_2 ) )
            <=> ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_1 ) @ Xa ) ) @ S_4 ) ) )
        <=> ( R_2 = S_4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1055]) ).

thf(1810,plain,
    ( ( ! [X_2: $i,Pa: $i] :
          ( ! [A_1: $i,B_2: $i,C_4: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ B_2 ) @ C_4 ) ) ) )
         => ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1101]) ).

thf(1811,plain,
    ( ( ! [X_2: $i,Pa: $i] :
          ( ! [A_1: $i,B_2: $i,C_4: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_2 ) @ C_4 ) ) ) )
         => ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1102]) ).

thf(1812,plain,
    ( ( ! [Y_2: $i] :
          ~ ! [A_1: $i,B_2: $i,C_4: $i] :
              ( Y_2
             != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ B_2 ) @ C_4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1125]) ).

thf(1813,plain,
    ( ( ! [Y_2: $i] :
          ~ ! [A_1: $i,B_2: $i,C_4: $i] :
              ( Y_2
             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_2 ) @ C_4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1126]) ).

thf(1814,plain,
    ( ( ! [F_1: $i,X_2: $i,Y_2: $i] :
          ( ( ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 )
            = F_1 )
        <=> ( ( hAPP_l207779698on_val @ F_1 @ X_2 )
            = Y_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1134]) ).

thf(1815,plain,
    ( ( ! [F_1: $i,X_2: $i,Y_2: $i,Z_1: $i] :
          ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 ) @ X_2 @ Z_1 )
          = ( fun_up1149430426on_val @ F_1 @ X_2 @ Z_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1138]) ).

thf(1816,plain,
    ( ( ! [F_1: $i,X_2: $i,Y_2: $i] :
          ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 ) @ X_2 )
          = Y_2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1142]) ).

thf(1817,plain,
    ( ( ! [F_1: $i,Y_2: $i,Z_1: $i,X_2: $i] :
          ( ( ( Z_1 = X_2 )
           => ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
              = Y_2 ) )
          & ( ( Z_1 != X_2 )
           => ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
              = ( hAPP_l207779698on_val @ F_1 @ Z_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1146]) ).

thf(1818,plain,
    ( ( ! [M_1: $i,B: $i,D_1: $i,A: $i,C_2: $i] :
          ( ( A != C_2 )
         => ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M_1 @ A @ B ) @ C_2 @ D_1 )
            = ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M_1 @ C_2 @ D_1 ) @ A @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1150]) ).

thf(1819,plain,
    ( ( ! [F_1: $i,Y_2: $i,Z_1: $i,X_2: $i] :
          ( ( Z_1 != X_2 )
         => ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
            = ( hAPP_l207779698on_val @ F_1 @ Z_1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1154]) ).

thf(1820,plain,
    ( ( ! [F_1: $i,X_2: $i,Y_2: $i] :
          ( ( ( hAPP_l207779698on_val @ F_1 @ X_2 )
            = Y_2 )
         => ( ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 )
            = F_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1158]) ).

thf(1821,plain,
    ( ( ! [F_1: $i,B: $i,A: $i,X_1: $i] :
          ( ( ( X_1 = A )
           => ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A @ B ) @ X_1 )
              = B ) )
          & ( ( X_1 != A )
           => ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A @ B ) @ X_1 )
              = ( hAPP_l207779698on_val @ F_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1162]) ).

thf(1822,plain,
    ( ( ! [Pa: $i] :
          ( ! [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
        <=> ! [A_1: $i,B_2: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1176]) ).

thf(1823,plain,
    ( ( ! [Pa: $i] :
          ( ! [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
        <=> ! [A_1: $i,B_2: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1177]) ).

thf(1824,plain,
    ( ( ! [Pa: $i] :
          ( ! [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
        <=> ! [A_1: $i,B_2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1178]) ).

thf(1825,plain,
    ( ( ! [A: $i,B: $i,A_3: $i,B_3: $i] :
          ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B )
            = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_3 ) @ B_3 ) )
        <=> ( ( A = A_3 )
            & ( B = B_3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1220]) ).

thf(1826,plain,
    ( ( ! [A: $i,B: $i,A_3: $i,B_3: $i] :
          ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B )
            = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_3 ) @ B_3 ) )
        <=> ( ( A = A_3 )
            & ( B = B_3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1221]) ).

thf(1827,plain,
    ( ( ! [A: $i,B: $i,A_3: $i,B_3: $i] :
          ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B )
            = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_3 ) @ B_3 ) )
        <=> ( ( A = A_3 )
            & ( B = B_3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1222]) ).

thf(1828,plain,
    ( ( ! [A: $i,B: $i,A_3: $i,B_3: $i] :
          ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B )
            = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_3 ) @ B_3 ) )
         => ~ ( ( A = A_3 )
             => ( B != B_3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1264]) ).

thf(1829,plain,
    ( ( ! [A: $i,B: $i,A_3: $i,B_3: $i] :
          ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B )
            = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_3 ) @ B_3 ) )
         => ~ ( ( A = A_3 )
             => ( B != B_3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1265]) ).

thf(1830,plain,
    ( ( ! [A: $i,B: $i,A_3: $i,B_3: $i] :
          ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B )
            = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_3 ) @ B_3 ) )
         => ~ ( ( A = A_3 )
             => ( B != B_3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1266]) ).

thf(1831,plain,
    ( ( ! [Y_2: $i] :
          ~ ! [A_1: $i,B_2: $i,C_4: $i,D_2: $i] :
              ( Y_2
             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_2 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ C_4 ) @ D_2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1306]) ).

thf(1832,plain,
    ( ( ! [X_2: $i,Pa: $i] :
          ( ! [A_1: $i,B_2: $i,C_4: $i,D_2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_2 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ C_4 ) @ D_2 ) ) ) ) )
         => ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1318]) ).

thf(1833,plain,
    ( ( ! [M_1: $i,A: $i,X_2: $i,N: $i,Y_2: $i] :
          ( ( ( fun_up204312361on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ X_2 ) )
            = ( fun_up204312361on_val @ N @ A @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
         => ( X_2 = Y_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1331]) ).

thf(1834,plain,
    ( ( ! [M_1: $i,A: $i,X_2: $i,N: $i,Y_2: $i] :
          ( ( ( fun_up1149430426on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ X_2 ) )
            = ( fun_up1149430426on_val @ N @ A @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
         => ( X_2 = Y_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1334]) ).

thf(1835,plain,
    ( ( ! [T_2: $i,K: $i,X_2: $i] :
          ( ( ( hAPP_P2094403585on_val @ T_2 @ K )
            = ( hAPP_val_option_val @ some_val @ X_2 ) )
         => ( ( fun_up204312361on_val @ T_2 @ K @ ( hAPP_val_option_val @ some_val @ X_2 ) )
            = T_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1335]) ).

thf(1836,plain,
    ( ( ! [T_2: $i,K: $i,X_2: $i] :
          ( ( ( hAPP_l207779698on_val @ T_2 @ K )
            = ( hAPP_val_option_val @ some_val @ X_2 ) )
         => ( ( fun_up1149430426on_val @ T_2 @ K @ ( hAPP_val_option_val @ some_val @ X_2 ) )
            = T_2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1338]) ).

thf(1837,plain,
    ( ( ! [M_1: $i,A: $i,B: $i,X_2: $i,Y_2: $i] :
          ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
            = ( hAPP_val_option_val @ some_val @ Y_2 ) )
        <=> ( ( ( X_2 = A )
              & ( B = Y_2 ) )
            | ( ( X_2 != A )
              & ( ( hAPP_P2094403585on_val @ M_1 @ X_2 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1339]) ).

thf(1838,plain,
    ( ( ! [M_1: $i,A: $i,B: $i,X_2: $i,Y_2: $i] :
          ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
            = ( hAPP_val_option_val @ some_val @ Y_2 ) )
        <=> ( ( ( X_2 = A )
              & ( B = Y_2 ) )
            | ( ( X_2 != A )
              & ( ( hAPP_l207779698on_val @ M_1 @ X_2 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1342]) ).

thf(1839,plain,
    ( ( hBOOL @ ( wf_pro755087577t_char @ wf_J_mdecl @ p ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1343]) ).

thf(1840,plain,
    ( ( ! [F_1: $i,X_2: $i] :
          ( ( fun_up1149430426on_val @ F_1 @ X_2 @ ( hAPP_l207779698on_val @ F_1 @ X_2 ) )
          = F_1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1347]) ).

thf(1841,plain,
    ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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)],[1348]) ).

thf(1842,plain,
    ( ( ( hAPP_l207779698on_val @ l_a @ v_1 )
      = ( hAPP_val_option_val @ some_val @ v_2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1349]) ).

thf(1843,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1453283057l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1490]) ).

thf(1844,plain,
    ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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)],[1493]) ).

thf(1845,plain,
    ( ( ! [P: $i] :
          ( ~ ( is_bool @ P )
          | ( P = fTrue )
          | ( P = fFalse ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1494]) ).

thf(1846,plain,
    ( ( ! [P: $i] :
          ( ~ ( is_bool @ P )
          | ( P = fTrue )
          | ( P = fFalse ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1495]) ).

thf(1847,plain,
    ( ( ! [M: $i,Ta: $i,Esa: $i,Ts: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i] :
          ( ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ nt ) )
          | ~ ( hBOOL @ ( wTrts @ Pa @ Hb @ Ea @ Esa @ Ts ) )
          | ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( call_list_char @ Eb @ M @ Esa ) @ Ta ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1496]) ).

thf(1848,plain,
    ( ( ! [M: $i,Ta: $i,Esa: $i,Ts: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i] :
          ( ~ ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ nt ) )
          | ~ ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) )
          | ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ ( call_list_char @ Eb @ M @ Esa ) @ Ta ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1497]) ).

thf(1849,plain,
    ( ( ! [M: $i,Esa: $i,Eb: $i,S0: $i,A: $i,S_1: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_1 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ Eb @ M @ Esa ) ) @ S0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_1 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1498]) ).

thf(1850,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)],[1499]) ).

thf(1851,plain,
    ( ( ! [F: $i,D: $i,Ta: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i] :
          ( ~ ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ nt ) )
          | ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ ( fAcc_list_char @ Eb @ F @ D ) @ Ta ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1500]) ).

thf(1852,plain,
    ( ( ! [E_1_1: $i,E_2: $i,Eb: $i,S: $i,A: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ Eb @ E_1_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1501]) ).

thf(1853,plain,
    ( ( ! [C_2: $i,B: $i,S: $i,Eb: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( while_list_char @ B @ C_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1503]) ).

thf(1854,plain,
    ( ( ! [Bool: $i] :
          ( ( bool @ Bool )
         != null ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1504]) ).

thf(1855,plain,
    ( ( ! [Bool: $i] :
          ( null
         != ( bool @ Bool ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1505]) ).

thf(1856,plain,
    ( ( ! [Bool: $i] :
          ( ( bool @ Bool )
         != unit ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1506]) ).

thf(1857,plain,
    ( ( ! [Bool: $i] :
          ( unit
         != ( bool @ Bool ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1507]) ).

thf(1858,plain,
    ( ( ! [Bool_1: $i,Nat: $i] :
          ( ( bool @ Bool_1 )
         != ( addr @ Nat ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1508]) ).

thf(1859,plain,
    ( ( ! [Nat: $i,Bool_1: $i] :
          ( ( addr @ Nat )
         != ( bool @ Bool_1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1509]) ).

thf(1860,plain,
    ( ( ! [Ta: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i,T_r: $i] :
          ( ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ T_r ) )
          | ~ ( hBOOL @ ( is_refT @ T_r ) )
          | ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( throw_list_char @ Eb ) @ Ta ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1510]) ).

thf(1861,plain,
    ( ( ! [C: $i,Eb: $i,S: $i,A: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1511]) ).

thf(1862,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i,Eb: $i] :
          ( ! [Ta: $i] :
              ~ ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ ( throw_list_char @ Eb ) @ Ta ) )
          | ( ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ ( sK1_T_r_1 @ Eb @ Ea @ Hb @ Pa ) ) )
            & ( hBOOL @ ( is_refT @ ( sK1_T_r_1 @ Eb @ Ea @ Hb @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1513]) ).

thf(1863,plain,
    ( ( ! [Bop: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1514]) ).

thf(1864,plain,
    ( ( ! [Ta: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i,T_r: $i] :
          ( ~ ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ T_r ) )
          | ~ ( hBOOL @ ( is_refT @ T_r ) )
          | ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ ( throw_list_char @ Eb ) @ Ta ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1516]) ).

thf(1865,plain,
    ( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1517]) ).

thf(1866,plain,
    ( ( ! [E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1518]) ).

thf(1867,plain,
    ( ( ! [Va_1: $i,Eb: $i,S: $i,A: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1519]) ).

thf(1868,plain,
    ( ( ! [F: $i,D: $i,Eb: $i,S: $i,A: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1520]) ).

thf(1869,plain,
    ( ( ! [F_1: $i,G: $i] :
          ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ F_1 @ ( sK2_X_1 @ G @ F_1 ) ) ) @ ( hAPP_list_char_bool @ G @ ( sK2_X_1 @ G @ F_1 ) ) ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ F_1 ) @ G ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1527]) ).

thf(1870,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)],[1528]) ).

thf(1871,plain,
    ( ( ! [F_1: $i,G: $i] :
          ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ F_1 @ ( sK3_X_1 @ G @ F_1 ) ) ) @ ( hAPP_list_char_bool @ G @ ( sK3_X_1 @ G @ F_1 ) ) ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ F_1 ) @ G ) ) )
      & ! [F_1: $i,G: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ F_1 ) @ G ) )
          | ! [X_1: $i] : ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ F_1 @ X_1 ) ) @ ( hAPP_list_char_bool @ G @ X_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1529]) ).

thf(1872,plain,
    ( ( ! [X_2: $i,F_1: $i,G: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ F_1 ) @ G ) )
          | ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ F_1 @ X_2 ) ) @ ( hAPP_list_char_bool @ G @ X_2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1530]) ).

thf(1873,plain,
    ( ( ! [X_2: $i,F_1: $i,G: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ F_1 ) @ G ) )
          | ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ F_1 @ X_2 ) ) @ ( hAPP_list_char_bool @ G @ X_2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1531]) ).

thf(1874,plain,
    ( ( ! [Pa: $i,Ax: $i,Ay: $i,Bx: $i,By: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Ax ) @ Ay ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Bx ) @ By ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ Ax ) @ Ay ) )
          | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Ax ) @ Ay ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) @ ( sK5_SY1128 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
            & ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) @ ( sK5_SY1128 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY1131 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) @ ( sK7_SY1133 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) ) ) @ R_1 ) )
            & ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ ( sK4_A_1 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) @ ( sK5_SY1128 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) )
            & ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ ( sK6_SY1131 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) @ ( sK7_SY1133 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ Bx ) @ By ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1532]) ).

thf(1875,plain,
    ( ( ! [Pa: $i,Ax: $i,Ay: $i,Bx: $i,By: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Ax ) @ Ay ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Bx ) @ By ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ Bx ) @ By ) )
          | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK8_A_1 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) @ ( sK9_SY1134 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) @ ( sK11_SY1139 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) ) ) @ R_1 ) )
            & ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) @ ( sK11_SY1139 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Bx ) @ By ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
            & ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ ( sK10_SY1137 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) @ ( sK11_SY1139 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) )
            & ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ ( sK8_A_1 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) @ ( sK9_SY1134 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ Ax ) @ Ay ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1533]) ).

thf(1876,plain,
    ( ( ! [M_1: $i,N: $i] :
          ( ! [K: $i,X_2: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
               != ( hAPP_val_option_val @ some_val @ X_2 ) )
              | ( ( hAPP_l207779698on_val @ N @ K )
                = none_val )
              | ( ( hAPP_l207779698on_val @ N @ K )
                = ( hAPP_val_option_val @ some_val @ X_2 ) ) )
          & ! [K: $i,X_2: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
               != ( hAPP_val_option_val @ some_val @ X_2 ) )
              | ( ( hAPP_l207779698on_val @ M_1 @ K )
                = ( hAPP_val_option_val @ some_val @ X_2 ) )
              | ( ( hAPP_l207779698on_val @ N @ K )
                = ( hAPP_val_option_val @ some_val @ X_2 ) ) )
          & ! [K: $i,X_2: $i] :
              ( ( ( hAPP_l207779698on_val @ N @ K )
               != none_val )
              | ( ( hAPP_l207779698on_val @ M_1 @ K )
               != ( hAPP_val_option_val @ some_val @ X_2 ) )
              | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
                = ( hAPP_val_option_val @ some_val @ X_2 ) ) )
          & ! [K: $i,X_2: $i] :
              ( ( ( hAPP_l207779698on_val @ N @ K )
               != ( hAPP_val_option_val @ some_val @ X_2 ) )
              | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
                = ( hAPP_val_option_val @ some_val @ X_2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1535]) ).

thf(1877,plain,
    ( ( ! [M_1: $i,N: $i] :
          ( ! [K: $i,X_2: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
               != ( hAPP_val_option_val @ some_val @ X_2 ) )
              | ( ( hAPP_l207779698on_val @ N @ K )
                = none_val )
              | ( ( hAPP_l207779698on_val @ N @ K )
                = ( hAPP_val_option_val @ some_val @ X_2 ) ) )
          & ! [K: $i,X_2: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
               != ( hAPP_val_option_val @ some_val @ X_2 ) )
              | ( ( hAPP_l207779698on_val @ M_1 @ K )
                = ( hAPP_val_option_val @ some_val @ X_2 ) )
              | ( ( hAPP_l207779698on_val @ N @ K )
                = ( hAPP_val_option_val @ some_val @ X_2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1536]) ).

thf(1878,plain,
    ( ( ! [T_2: $i,K: $i,X_2: $i] :
          ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ T_2 @ K @ ( hAPP_val_option_val @ some_val @ X_2 ) ) @ ( sK12_X_1 @ X_2 @ K @ T_2 ) )
         != none_val ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1537]) ).

thf(1879,plain,
    ( ( ! [M_1: $i] :
          ( ! [N: $i,K: $i] :
              ( ( ( hAPP_l207779698on_val @ N @ K )
               != none_val )
              | ( ( hAPP_l207779698on_val @ M_1 @ K )
               != none_val )
              | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
                = none_val ) )
          & ! [N: $i,K: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
               != none_val )
              | ( ( hAPP_l207779698on_val @ N @ K )
                = none_val ) )
          & ! [N: $i,K: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
               != none_val )
              | ( ( hAPP_l207779698on_val @ M_1 @ K )
                = none_val ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1538]) ).

thf(1880,plain,
    ( ( ! [X_2: $i,Pa: $i,Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Pa ) @ Q_1 ) )
          | ~ ( hBOOL @ ( hAPP_list_char_bool @ Pa @ X_2 ) )
          | ( hBOOL @ ( hAPP_list_char_bool @ Q_1 @ X_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1539]) ).

thf(1881,plain,
    ( ( ! [Q_1: $i,Pa: $i,X_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_list_char_bool @ Pa @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Pa ) @ Q_1 ) )
          | ( hBOOL @ ( hAPP_list_char_bool @ Q_1 @ X_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1540]) ).

thf(1882,plain,
    ( ( ! [Eb: $i,H_0: $i,L_0: $i,E_b: $i,H_1: $i,L_1_1: $i] :
          ( ! [Pa: $i] :
              ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 @ H_0 ) @ L_0 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_1 ) @ L_1_1 ) ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ ( dom_list_char_val @ L_0 ) ) @ ( dom_list_char_val @ L_1_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1541]) ).

thf(1883,plain,
    ( ( ! [Exp1: $i,Exp2: $i,A_6: $i,Ty: $i,Exp: $i] :
          ( ( seq_list_char @ Exp1 @ Exp2 )
         != ( block_list_char @ A_6 @ Ty @ Exp ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1542]) ).

thf(1884,plain,
    ( ( ! [A_7: $i,Exp_1: $i,Exp1_1: $i,Exp2_1: $i] :
          ( ( lAss_list_char @ A_7 @ Exp_1 )
         != ( seq_list_char @ Exp1_1 @ Exp2_1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1543]) ).

thf(1885,plain,
    ( ( ! [Exp1_2: $i,Exp2_2: $i,A_8: $i,Exp_2: $i] :
          ( ( seq_list_char @ Exp1_2 @ Exp2_2 )
         != ( lAss_list_char @ A_8 @ Exp_2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1544]) ).

thf(1886,plain,
    ( ( ! [A: $i,Exp_8: $i] :
          ( ! [A_3: $i,Exp_7: $i] :
              ( ( A != A_3 )
              | ( Exp_8 != Exp_7 )
              | ( ( lAss_list_char @ A @ Exp_8 )
                = ( lAss_list_char @ A_3 @ Exp_7 ) ) )
          & ! [A_3: $i] :
              ( ! [Exp_7: $i] :
                  ( ( lAss_list_char @ A @ Exp_8 )
                 != ( lAss_list_char @ A_3 @ Exp_7 ) )
              | ( A = A_3 ) )
          & ! [A_3: $i,Exp_7: $i] :
              ( ( ( lAss_list_char @ A @ Exp_8 )
               != ( lAss_list_char @ A_3 @ Exp_7 ) )
              | ( Exp_8 = Exp_7 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1545]) ).

thf(1887,plain,
    ( ( ! [Exp1_6: $i,Exp2_6: $i] :
          ( ! [Exp1_5: $i,Exp2_5: $i] :
              ( ( Exp1_6 != Exp1_5 )
              | ( Exp2_6 != Exp2_5 )
              | ( ( seq_list_char @ Exp1_6 @ Exp2_6 )
                = ( seq_list_char @ Exp1_5 @ Exp2_5 ) ) )
          & ! [Exp1_5: $i] :
              ( ! [Exp2_5: $i] :
                  ( ( seq_list_char @ Exp1_6 @ Exp2_6 )
                 != ( seq_list_char @ Exp1_5 @ Exp2_5 ) )
              | ( Exp1_6 = Exp1_5 ) )
          & ! [Exp1_5: $i,Exp2_5: $i] :
              ( ( ( seq_list_char @ Exp1_6 @ Exp2_6 )
               != ( seq_list_char @ Exp1_5 @ Exp2_5 ) )
              | ( Exp2_6 = Exp2_5 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1546]) ).

thf(1888,plain,
    ( ( ! [A_14: $i,Exp_10: $i,A_13: $i,Ty_5: $i,Exp_9: $i] :
          ( ( lAss_list_char @ A_14 @ Exp_10 )
         != ( block_list_char @ A_13 @ Ty_5 @ Exp_9 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1547]) ).

thf(1889,plain,
    ( ( ! [A_15: $i,Ty_6: $i,Exp_11: $i,Exp1_7: $i,Exp2_7: $i] :
          ( ( block_list_char @ A_15 @ Ty_6 @ Exp_11 )
         != ( seq_list_char @ Exp1_7 @ Exp2_7 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1548]) ).

thf(1890,plain,
    ( ( ! [A_17: $i,Ty_7: $i,Exp_13: $i,A_16: $i,Exp_12: $i] :
          ( ( block_list_char @ A_17 @ Ty_7 @ Exp_13 )
         != ( lAss_list_char @ A_16 @ Exp_12 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1549]) ).

thf(1891,plain,
    ( ( ! [F_1: $i] :
          ( ! [X_2: $i,Y_2: $i] :
              ( ( ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 )
               != F_1 )
              | ( ( hAPP_P2094403585on_val @ F_1 @ X_2 )
                = Y_2 ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( ( hAPP_P2094403585on_val @ F_1 @ X_2 )
               != Y_2 )
              | ( ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 )
                = F_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1551]) ).

thf(1892,plain,
    ( ( ! [F_1: $i,Y_2: $i] :
          ( ! [Z_1: $i,X_2: $i] :
              ( ( Z_1 != X_2 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
                = Y_2 ) )
          & ! [Z_1: $i,X_2: $i] :
              ( ( Z_1 = X_2 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
                = ( hAPP_P2094403585on_val @ F_1 @ Z_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1554]) ).

thf(1893,plain,
    ( ( ! [M_1: $i,B: $i,D_1: $i,A: $i,C_2: $i] :
          ( ( A = C_2 )
          | ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ M_1 @ A @ B ) @ C_2 @ D_1 )
            = ( fun_up204312361on_val @ ( fun_up204312361on_val @ M_1 @ C_2 @ D_1 ) @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1555]) ).

thf(1894,plain,
    ( ( ! [F_1: $i,Y_2: $i,Z_1: $i,X_2: $i] :
          ( ( Z_1 = X_2 )
          | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
            = ( hAPP_P2094403585on_val @ F_1 @ Z_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1556]) ).

thf(1895,plain,
    ( ( ! [F_1: $i,X_2: $i,Y_2: $i] :
          ( ( ( hAPP_P2094403585on_val @ F_1 @ X_2 )
           != Y_2 )
          | ( ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 )
            = F_1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1557]) ).

thf(1896,plain,
    ( ( ! [F_1: $i,B: $i] :
          ( ! [A: $i,X_1: $i] :
              ( ( X_1 != A )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ A @ B ) @ X_1 )
                = B ) )
          & ! [A: $i,X_1: $i] :
              ( ( X_1 = A )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ A @ B ) @ X_1 )
                = ( hAPP_P2094403585on_val @ F_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1558]) ).

thf(1897,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)],[1675]) ).

thf(1898,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i,Esa: $i,Ts: $i] :
          ( ~ ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) )
          | ( hBOOL @ ( wTrts @ Pa @ Hb @ Ea @ Esa @ Ts ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1699]) ).

thf(1899,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i,Esa: $i,Ts: $i] :
          ( ~ ( hBOOL @ ( wTrts @ Pa @ Hb @ Ea @ Esa @ Ts ) )
          | ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1700]) ).

thf(1900,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i] :
          ( ! [Esa: $i,Ts: $i] :
              ( ~ ( hBOOL @ ( wTrts @ Pa @ Hb @ Ea @ Esa @ Ts ) )
              | ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) ) )
          & ! [Esa: $i,Ts: $i] :
              ( ~ ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) )
              | ( hBOOL @ ( wTrts @ Pa @ Hb @ Ea @ Esa @ Ts ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1701]) ).

thf(1901,plain,
    ( ( ! [H_b: $i,Pa: $i,Hb: $i,Ea: $i,Esa: $i,Ts: $i] :
          ( ~ ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) )
          | ~ ( hBOOL @ ( hext @ Hb @ H_b ) )
          | ( hBOOL @ ( wTrts_1 @ Pa @ H_b @ Ea @ Esa @ Ts ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1702]) ).

thf(1902,plain,
    ( ( ! [M: $i,Esa: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ Eb @ M @ Esa ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ E_b @ M @ Esa ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1703]) ).

thf(1903,plain,
    ( ( ! [M: $i,Esa: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ Eb @ M @ Esa ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ E_b @ M @ Esa ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1705]) ).

thf(1904,plain,
    ( ( ! [E_1_1: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ Eb @ E_1_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ E_b @ E_1_1 @ E_2 ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1706]) ).

thf(1905,plain,
    ( ( ! [E_1_1: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ Eb @ E_1_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ E_b @ E_1_1 @ E_2 ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1708]) ).

thf(1906,plain,
    ( ( ! [Bool_1: $i,Bool: $i] :
          ( ~ ( hBOOL @ Bool_1 )
          | ~ ( hBOOL @ Bool )
          | ( ( bool @ Bool_1 )
            = ( bool @ Bool ) ) )
      & ! [Bool_1: $i,Bool: $i] :
          ( ( hBOOL @ Bool_1 )
          | ( hBOOL @ Bool )
          | ( ( bool @ Bool_1 )
            = ( bool @ Bool ) ) )
      & ! [Bool_1: $i,Bool: $i] :
          ( ( ( bool @ Bool_1 )
           != ( bool @ Bool ) )
          | ~ ( hBOOL @ Bool_1 )
          | ( hBOOL @ Bool ) )
      & ! [Bool_1: $i,Bool: $i] :
          ( ( ( bool @ Bool_1 )
           != ( bool @ Bool ) )
          | ~ ( hBOOL @ Bool )
          | ( hBOOL @ Bool_1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1709]) ).

thf(1907,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i] :
          ( ! [Eb: $i,Ta: $i] :
              ( ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ Ta ) )
              | ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ Ta ) ) )
          & ! [Eb: $i,Ta: $i] :
              ( ~ ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ Ta ) )
              | ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ Ta ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1710]) ).

thf(1908,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
          ( ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ Ta ) )
          | ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ Ta ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1711]) ).

thf(1909,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
          ( ~ ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ Ta ) )
          | ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ Ta ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1712]) ).

thf(1910,plain,
    ( ( ! [E_2: $i,T_2_2: $i,Pa: $i,Hb: $i,Ea: $i,E_1_1: $i] :
          ( ! [T_1_1: $i] :
              ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_1_1 @ T_1_1 ) )
          | ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_2 @ T_2_2 ) )
          | ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( seq_list_char @ E_1_1 @ E_2 ) @ T_2_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1713]) ).

thf(1911,plain,
    ( ( ! [H_b: $i,Hb: $i] :
          ( ~ ( hBOOL @ ( preallocated @ Hb ) )
          | ~ ( hBOOL @ ( hext @ Hb @ H_b ) )
          | ( hBOOL @ ( preallocated @ H_b ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1714]) ).

thf(1912,plain,
    ( ( ! [C: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1715]) ).

thf(1913,plain,
    ( ( ! [C: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ E_b ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1717]) ).

thf(1914,plain,
    ( ( ! [C: $i,Va_1: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C @ Va_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ E_b @ C @ Va_1 @ E_2 ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1718]) ).

thf(1915,plain,
    ( ( ! [Bop: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_b @ Bop @ E_2 ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1719]) ).

thf(1916,plain,
    ( ( ! [C: $i,Va_1: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C @ Va_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ E_b @ C @ Va_1 @ E_2 ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1721]) ).

thf(1917,plain,
    ( ( ! [Bop: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_b @ Bop @ E_2 ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1722]) ).

thf(1918,plain,
    ( ( ! [F: $i,D: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ E_b @ F @ D ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1723]) ).

thf(1919,plain,
    ( ( ! [Eb: $i,S: $i,A: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1727]) ).

thf(1920,plain,
    ( ( ! [Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1728]) ).

thf(1921,plain,
    ( ( ! [F: $i,D: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ E_b @ F @ D ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1729]) ).

thf(1922,plain,
    ( ( ! [Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1730]) ).

thf(1923,plain,
    ( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_b @ F @ D @ E_2 ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1733]) ).

thf(1924,plain,
    ( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_b @ F @ D @ E_2 ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1734]) ).

thf(1925,plain,
    ( ( ! [A_2: $i] :
          ( ! [B_1: $i,X_2: $i] :
              ( ~ ( hBOOL @ ( hAPP_list_char_bool @ B_1 @ X_2 ) )
              | ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ A_2 @ B_1 ) @ X_2 ) ) )
          & ! [B_1: $i,X_2: $i] :
              ( ~ ( hBOOL @ ( hAPP_list_char_bool @ A_2 @ X_2 ) )
              | ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ A_2 @ B_1 ) @ X_2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1735]) ).

thf(1926,plain,
    ( ( ! [A_2: $i,B_1: $i,X_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ A_2 @ B_1 ) @ X_2 ) )
          | ( hBOOL @ ( hAPP_list_char_bool @ A_2 @ X_2 ) )
          | ( hBOOL @ ( hAPP_list_char_bool @ B_1 @ X_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1736]) ).

thf(1927,plain,
    ( ( ! [A_2: $i] :
          ( ! [C_2: $i,B_1: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ B_1 ) )
              | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ ( semila751111325l_bool @ A_2 @ B_1 ) ) ) )
          & ! [C_2: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ A_2 ) )
              | ! [B_1: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ ( semila751111325l_bool @ A_2 @ B_1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1737]) ).

thf(1928,plain,
    ( ( ! [C_2: $i,A_2: $i,B_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ ( semila751111325l_bool @ A_2 @ B_1 ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ A_2 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ B_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1738]) ).

thf(1929,plain,
    ( ( ! [Pa: $i,A: $i,B: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ B ) )
          | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK13_Y_1 @ R_1 @ B @ A @ Pa ) ) @ ( sK14_SY1140 @ R_1 @ B @ A @ Pa ) ) ) @ R_1 ) )
            & ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_SY1140 @ R_1 @ B @ A @ Pa ) ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
            & ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( sK14_SY1140 @ R_1 @ B @ A @ Pa ) ) )
            & ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( sK13_Y_1 @ R_1 @ B @ A @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1739]) ).

thf(1930,plain,
    ( ( ! [X_2: $i,Z_1: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Z_1 ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ( X_2 = Z_1 )
          | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ ( sK15_Y_1 @ R_1 @ Z_1 @ X_2 ) ) ) @ R_1 ) )
            & ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK15_Y_1 @ R_1 @ Z_1 @ X_2 ) ) @ Z_1 ) ) @ ( transi2024712006on_val @ R_1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1740]) ).

thf(1931,plain,
    ( ( ! [A: $i,B: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ( A = B )
          | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( sK16_Y_1 @ R_1 @ B @ A ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
            & ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_Y_1 @ R_1 @ B @ A ) ) @ B ) ) @ R_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1741]) ).

thf(1932,plain,
    ( ( ! [X_2: $i,Y_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) )
          | ( X_2 = Y_2 ) )
      & ! [X_2: $i,Y_2: $i] :
          ( ( X_2 != Y_2 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) ) )
      & ! [X_2: $i,Y_2: $i] :
          ( ( X_2 != Y_2 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1742]) ).

thf(1933,plain,
    ( ( ! [X_2: $i,Y_2: $i] :
          ( ( X_2 != Y_2 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1743]) ).

thf(1934,plain,
    ( ( ! [Y_2: $i,X_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) )
          | ( X_2 != Y_2 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) ) )
      & ! [Y_2: $i,X_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) )
          | ( X_2 = Y_2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1744]) ).

thf(1935,plain,
    ( ( ! [C_2: $i,A: $i,B: $i] :
          ( ( A != B )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B ) @ C_2 ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A ) @ C_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1745]) ).

thf(1936,plain,
    ( ( ! [C_2: $i,A: $i,B: $i] :
          ( ( A != B )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ C_2 ) @ B ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ C_2 ) @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1746]) ).

thf(1937,plain,
    ( ( ! [C_2: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A ) @ B ) )
          | ( B != C_2 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A ) @ C_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1747]) ).

thf(1938,plain,
    ( ( ! [C_2: $i,B: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B ) @ A ) )
          | ( B != C_2 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ C_2 ) @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1748]) ).

thf(1939,plain,
    ( ( ! [X_2: $i,Y_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) )
          | ( X_2 = Y_2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1749]) ).

thf(1940,plain,
    ( ( ! [Z_1: $i,X_2: $i,Y_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ Z_1 ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Z_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1750]) ).

thf(1941,plain,
    ( ( ! [Y_2: $i,X_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) )
          | ( X_2 = Y_2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1751]) ).

thf(1942,plain,
    ( ( ! [Z_1: $i,Y_2: $i,X_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Z_1 ) @ Y_2 ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Z_1 ) @ X_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1752]) ).

thf(1943,plain,
    ( ( ! [Pa: $i,A: $i,B: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ A ) )
          | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( sK17_Y_1 @ R_1 @ B @ A @ Pa ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
            & ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK17_Y_1 @ R_1 @ B @ A @ Pa ) ) @ ( sK18_SY1141 @ R_1 @ B @ A @ Pa ) ) ) @ R_1 ) )
            & ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( sK17_Y_1 @ R_1 @ B @ A @ Pa ) ) )
            & ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( sK18_SY1141 @ R_1 @ B @ A @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1753]) ).

thf(1944,plain,
    ( ( ! [Y_3: $i] :
          ( ( Y_3 = none_val )
          | ( Y_3
            = ( hAPP_val_option_val @ some_val @ ( sK19_A_1 @ Y_3 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1755]) ).

thf(1945,plain,
    ( ( ! [Xa_1: $i,Xb_1: $i,Za: $i,Zb: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Xa_1 ) @ Xb_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Za ) @ Zb ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Xa_1 ) @ Xb_1 )
            = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Za ) @ Zb ) )
          | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Xa_1 ) @ Xb_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ R_1 @ Zb @ Za @ Xb_1 @ Xa_1 ) ) @ ( sK21_SY1142 @ R_1 @ Zb @ Za @ Xb_1 @ Xa_1 ) ) ) ) @ R_1 ) )
            & ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ R_1 @ Zb @ Za @ Xb_1 @ Xa_1 ) ) @ ( sK21_SY1142 @ R_1 @ Zb @ Za @ Xb_1 @ Xa_1 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Za ) @ Zb ) ) ) @ ( transi2024712006on_val @ R_1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1756]) ).

thf(1946,plain,
    ( ( ! [B_1: $i,A_2: $i] :
          ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( sK22_X_1 @ A_2 @ B_1 ) ) @ A_2 ) )
            & ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( sK22_X_1 @ A_2 @ B_1 ) ) @ B_1 ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ A_2 ) @ B_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1757]) ).

thf(1947,plain,
    ( ( ! [C_2: $i,A: $i,B: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ B ) @ C_2 ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ C_2 ) ) @ ( transi2024712006on_val @ R_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1758]) ).

thf(1948,plain,
    ( ( ! [C_2: $i,A: $i,B: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ B ) @ C_2 ) ) @ R_1 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ C_2 ) ) @ ( transi2024712006on_val @ R_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1759]) ).

thf(1949,plain,
    ( ( ! [C_2: $i,A: $i,B: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ R_1 ) )
          | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ B ) @ C_2 ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ C_2 ) ) @ ( transi2024712006on_val @ R_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1760]) ).

thf(1950,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ( A_2 != B_1 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) ) )
      & ! [A_2: $i,B_1: $i] :
          ( ( A_2 != B_1 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ A_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1761]) ).

thf(1951,plain,
    ( ( ! [C: $i,A_2: $i,B_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ C ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ C ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1762]) ).

thf(1952,plain,
    ( ( ! [X_2: $i,A_2: $i,B_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ A_2 ) @ B_1 ) )
          | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ A_2 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ B_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1763]) ).

thf(1953,plain,
    ( ( ! [B_1: $i,X_2: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ A_2 ) )
          | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ A_2 ) @ B_1 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ B_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1764]) ).

thf(1954,plain,
    ( ( ! [X_2: $i,A_2: $i,B_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ A_2 ) @ B_1 ) )
          | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ A_2 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ B_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1765]) ).

thf(1955,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ( A_2 != B_1 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ A_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1766]) ).

thf(1956,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ( A_2 != B_1 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1767]) ).

thf(1957,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ A_2 ) )
          | ( A_2 = B_1 ) )
      & ! [A_2: $i,B_1: $i] :
          ( ( A_2 != B_1 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) ) )
      & ! [A_2: $i,B_1: $i] :
          ( ( A_2 != B_1 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ A_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1768]) ).

thf(1958,plain,
    ( ( ! [R_1: $i,S: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ R_1 ) @ ( transi2024712006on_val @ S ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ ( transi2024712006on_val @ R_1 ) ) @ ( transi2024712006on_val @ S ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1771]) ).

thf(1959,plain,
    ( ( ! [R_2: $i,S_4: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ R_2 ) @ S_4 ) )
          | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ S_4 ) @ ( transi2024712006on_val @ R_2 ) ) )
          | ( ( transi2024712006on_val @ S_4 )
            = ( transi2024712006on_val @ R_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1772]) ).

thf(1960,plain,
    ( ( ! [R_1: $i,S: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ R_1 ) @ S ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ ( transi2024712006on_val @ R_1 ) ) @ ( transi2024712006on_val @ S ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1773]) ).

thf(1961,plain,
    ( ( ! [C_2: $i,A_2: $i,B_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ A_2 ) @ B_1 ) )
          | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ A_2 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ B_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1774]) ).

thf(1962,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ A_2 ) )
          | ( A_2 = B_1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1775]) ).

thf(1963,plain,
    ( ( ! [P_1: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ P_1 ) @ R_1 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ P_1 ) @ ( transi2024712006on_val @ R_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1776]) ).

thf(1964,plain,
    ( ( ! [L_0: $i,Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 @ 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 @ L_b ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1778]) ).

thf(1965,plain,
    ( ( ! [Va_1: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1779]) ).

thf(1966,plain,
    ( ( ! [E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1780]) ).

thf(1967,plain,
    ( ( ! [T_2: $i,K: $i,X_2: $i] :
          ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ T_2 @ K @ ( hAPP_val_option_val @ some_val @ X_2 ) ) @ ( sK23_X_1 @ X_2 @ K @ T_2 ) )
         != none_val ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1781]) ).

thf(1968,plain,
    ( ( ! [X_2: $i] :
          ( ( X_2 = none_val )
          | ( X_2
            = ( hAPP_val_option_val @ some_val @ ( sK24_Y_1 @ X_2 ) ) ) )
      & ! [X_2: $i] :
          ( ! [Y_1: $i] :
              ( X_2
             != ( hAPP_val_option_val @ some_val @ Y_1 ) )
          | ( X_2 != none_val ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1782]) ).

thf(1969,plain,
    ( ( ! [X_2: $i] :
          ( ( X_2
            = ( hAPP_val_option_val @ some_val @ ( sK25_Y_1 @ X_2 ) ) )
          | ( X_2 = none_val ) )
      & ! [X_2: $i] :
          ( ( X_2 != none_val )
          | ! [Y_1: $i] :
              ( X_2
             != ( hAPP_val_option_val @ some_val @ Y_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1783]) ).

thf(1970,plain,
    ( ( ! [A_4: $i] :
          ( ( hAPP_val_option_val @ some_val @ A_4 )
         != none_val ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1784]) ).

thf(1971,plain,
    ( ( ! [A_5: $i] :
          ( none_val
         != ( hAPP_val_option_val @ some_val @ A_5 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1785]) ).

thf(1972,plain,
    ( ( ! [Va_1: $i] :
          ( ! [Eb: $i,A_2: $i] :
              ( ~ ( hBOOL @ ( d_list_char @ ( lAss_list_char @ Va_1 @ Eb ) @ A_2 ) )
              | ( hBOOL @ ( d_list_char @ Eb @ A_2 ) ) )
          & ! [Eb: $i,A_2: $i] :
              ( ~ ( hBOOL @ ( d_list_char @ Eb @ A_2 ) )
              | ( hBOOL @ ( d_list_char @ ( lAss_list_char @ Va_1 @ Eb ) @ A_2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1786]) ).

thf(1973,plain,
    ( ( ! [H_4: $i,Hb: $i,H_b: $i] :
          ( ~ ( hBOOL @ ( hext @ Hb @ H_b ) )
          | ~ ( hBOOL @ ( hext @ H_b @ H_4 ) )
          | ( hBOOL @ ( hext @ Hb @ H_4 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1787]) ).

thf(1974,plain,
    ( ( ! [H_b: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
          ( ~ ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ Ta ) )
          | ~ ( hBOOL @ ( hext @ Hb @ H_b ) )
          | ( hBOOL @ ( wTrt_1 @ Pa @ H_b @ Ea @ Eb @ Ta ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1788]) ).

thf(1975,plain,
    ( ( ! [E_2: $i,T_2_2: $i,Pa: $i,Hb: $i,Ea: $i,E_1_1: $i] :
          ( ! [T_1_1: $i] :
              ~ ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ E_1_1 @ T_1_1 ) )
          | ~ ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ E_2 @ T_2_2 ) )
          | ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ ( seq_list_char @ E_1_1 @ E_2 ) @ T_2_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1790]) ).

thf(1976,plain,
    ( ( ! [E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1793]) ).

thf(1977,plain,
    ( ( ! [Va_1: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1794]) ).

thf(1978,plain,
    ( ( ! [X_2: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ A_2 ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ A_2 @ X_2 ) ) )
      & ! [X_2: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ A_2 @ X_2 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ A_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1795]) ).

thf(1979,plain,
    ( ( ! [M_1: $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_1 @ N ) @ K )
            = ( hAPP_val_option_val @ some_val @ Xx ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1796]) ).

thf(1980,plain,
    ( ( ! [L_0: $i,Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 @ 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 @ L_b ) ) ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1797]) ).

thf(1981,plain,
    ( ( ! [A: $i,A_3: $i] :
          ( ( ( hAPP_val_option_val @ some_val @ A )
           != ( hAPP_val_option_val @ some_val @ A_3 ) )
          | ( A = A_3 ) )
      & ! [A: $i,A_3: $i] :
          ( ( A != A_3 )
          | ( ( hAPP_val_option_val @ some_val @ A )
            = ( hAPP_val_option_val @ some_val @ A_3 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1798]) ).

thf(1982,plain,
    ( ( ! [Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i] :
          ( ! [L_b: $i,Pa: $i] :
              ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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)],[1799]) ).

thf(1983,plain,
    ( ( ! [Pa: $i] :
          ( ! [X1: $i] :
              ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK27_A_1 @ Pa ) ) @ ( sK28_SY1143 @ Pa ) ) ) ) )
      & ! [Pa: $i] :
          ( ! [A_1: $i,B_2: $i] :
              ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B_2 ) ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( sK26_X1 @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1800]) ).

thf(1984,plain,
    ( ( ! [Pa: $i] :
          ( ! [X1: $i] :
              ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK30_A_1 @ Pa ) ) @ ( sK31_SY1144 @ Pa ) ) ) ) )
      & ! [Pa: $i] :
          ( ! [A_1: $i,B_2: $i] :
              ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B_2 ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( sK29_X1 @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1801]) ).

thf(1985,plain,
    ( ( ! [Pa: $i] :
          ( ! [X1: $i] :
              ~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK33_A_1 @ Pa ) ) @ ( sK34_SY1145 @ Pa ) ) ) ) )
      & ! [Pa: $i] :
          ( ! [A_1: $i,B_2: $i] :
              ~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B_2 ) ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( sK32_X1 @ Pa ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1802]) ).

thf(1986,plain,
    ( ( ! [P_1: $i] :
          ( P_1
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK35_X_1 @ P_1 ) ) @ ( sK36_SY1146 @ P_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1803]) ).

thf(1987,plain,
    ( ( ! [P_1: $i] :
          ( P_1
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK37_X_1 @ P_1 ) ) @ ( sK38_SY1147 @ P_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1804]) ).

thf(1988,plain,
    ( ( ! [P_1: $i] :
          ( P_1
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK39_X_1 @ P_1 ) ) @ ( sK40_SY1148 @ P_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1805]) ).

thf(1989,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK41_A_1 @ Y_2 ) ) @ ( sK42_SY1149 @ Y_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1806]) ).

thf(1990,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK43_A_1 @ Y_2 ) ) @ ( sK44_SY1150 @ Y_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1807]) ).

thf(1991,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK45_A_1 @ Y_2 ) ) @ ( sK46_SY1151 @ Y_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1808]) ).

thf(1992,plain,
    ( ( ! [S_4: $i,R_2: $i] :
          ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ R_2 @ S_4 ) ) @ ( sK48_SY1152 @ R_2 @ S_4 ) ) ) @ R_2 ) )
              | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ R_2 @ S_4 ) ) @ ( sK48_SY1152 @ R_2 @ S_4 ) ) ) @ S_4 ) ) )
            & ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ R_2 @ S_4 ) ) @ ( sK48_SY1152 @ R_2 @ S_4 ) ) ) @ R_2 ) )
              | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ R_2 @ S_4 ) ) @ ( sK48_SY1152 @ R_2 @ S_4 ) ) ) @ S_4 ) ) ) )
          | ( R_2 = S_4 ) )
      & ! [S_4: $i,R_2: $i] :
          ( ( R_2 != S_4 )
          | ( ! [X_1: $i,Xa: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_1 ) @ Xa ) ) @ R_2 ) )
                | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_1 ) @ Xa ) ) @ S_4 ) ) )
            & ! [X_1: $i,Xa: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_1 ) @ Xa ) ) @ S_4 ) )
                | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_1 ) @ Xa ) ) @ R_2 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1809]) ).

thf(1993,plain,
    ( ( ! [X_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK49_A_1 @ Pa @ X_2 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK50_SY1153 @ Pa @ X_2 ) ) @ ( sK51_SY1155 @ Pa @ X_2 ) ) ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1810]) ).

thf(1994,plain,
    ( ( ! [X_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK52_A_1 @ Pa @ X_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK53_SY1156 @ Pa @ X_2 ) ) @ ( sK54_SY1158 @ Pa @ X_2 ) ) ) ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1811]) ).

thf(1995,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK55_A_1 @ Y_2 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK56_SY1159 @ Y_2 ) ) @ ( sK57_SY1161 @ Y_2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1812]) ).

thf(1996,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK58_A_1 @ Y_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK59_SY1162 @ Y_2 ) ) @ ( sK60_SY1164 @ Y_2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1813]) ).

thf(1997,plain,
    ( ( ! [F_1: $i] :
          ( ! [X_2: $i,Y_2: $i] :
              ( ( ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 )
               != F_1 )
              | ( ( hAPP_l207779698on_val @ F_1 @ X_2 )
                = Y_2 ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( ( hAPP_l207779698on_val @ F_1 @ X_2 )
               != Y_2 )
              | ( ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 )
                = F_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1814]) ).

thf(1998,plain,
    ( ( ! [F_1: $i,Y_2: $i] :
          ( ! [Z_1: $i,X_2: $i] :
              ( ( Z_1 != X_2 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
                = Y_2 ) )
          & ! [Z_1: $i,X_2: $i] :
              ( ( Z_1 = X_2 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
                = ( hAPP_l207779698on_val @ F_1 @ Z_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1817]) ).

thf(1999,plain,
    ( ( ! [M_1: $i,B: $i,D_1: $i,A: $i,C_2: $i] :
          ( ( A = C_2 )
          | ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M_1 @ A @ B ) @ C_2 @ D_1 )
            = ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M_1 @ C_2 @ D_1 ) @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1818]) ).

thf(2000,plain,
    ( ( ! [F_1: $i,Y_2: $i,Z_1: $i,X_2: $i] :
          ( ( Z_1 = X_2 )
          | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
            = ( hAPP_l207779698on_val @ F_1 @ Z_1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1819]) ).

thf(2001,plain,
    ( ( ! [F_1: $i,X_2: $i,Y_2: $i] :
          ( ( ( hAPP_l207779698on_val @ F_1 @ X_2 )
           != Y_2 )
          | ( ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 )
            = F_1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1820]) ).

thf(2002,plain,
    ( ( ! [F_1: $i,B: $i] :
          ( ! [A: $i,X_1: $i] :
              ( ( X_1 != A )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A @ B ) @ X_1 )
                = B ) )
          & ! [A: $i,X_1: $i] :
              ( ( X_1 = A )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A @ B ) @ X_1 )
                = ( hAPP_l207779698on_val @ F_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1821]) ).

thf(2003,plain,
    ( ( ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( sK63_X1 @ Pa ) ) )
          | ! [A_1: $i,B_2: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B_2 ) ) ) )
      & ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK61_A_1 @ Pa ) ) @ ( sK62_SY1165 @ Pa ) ) ) )
          | ! [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1822]) ).

thf(2004,plain,
    ( ( ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( sK66_X1 @ Pa ) ) )
          | ! [A_1: $i,B_2: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B_2 ) ) ) )
      & ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK64_A_1 @ Pa ) ) @ ( sK65_SY1166 @ Pa ) ) ) )
          | ! [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1823]) ).

thf(2005,plain,
    ( ( ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( sK69_X1 @ Pa ) ) )
          | ! [A_1: $i,B_2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B_2 ) ) ) )
      & ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK67_A_1 @ Pa ) ) @ ( sK68_SY1167 @ Pa ) ) ) )
          | ! [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1824]) ).

thf(2006,plain,
    ( ( ! [A: $i,B: $i] :
          ( ! [A_3: $i,B_3: $i] :
              ( ( A != A_3 )
              | ( B != B_3 )
              | ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B )
                = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_3 ) @ B_3 ) ) )
          & ! [A_3: $i] :
              ( ! [B_3: $i] :
                  ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B )
                 != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_3 ) @ B_3 ) )
              | ( A = A_3 ) )
          & ! [A_3: $i,B_3: $i] :
              ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B )
               != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_3 ) @ B_3 ) )
              | ( B = B_3 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1825]) ).

thf(2007,plain,
    ( ( ! [A: $i,B: $i] :
          ( ! [A_3: $i,B_3: $i] :
              ( ( A != A_3 )
              | ( B != B_3 )
              | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B )
                = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_3 ) @ B_3 ) ) )
          & ! [A_3: $i] :
              ( ! [B_3: $i] :
                  ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B )
                 != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_3 ) @ B_3 ) )
              | ( A = A_3 ) )
          & ! [A_3: $i,B_3: $i] :
              ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B )
               != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_3 ) @ B_3 ) )
              | ( B = B_3 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1826]) ).

thf(2008,plain,
    ( ( ! [A: $i,B: $i] :
          ( ! [A_3: $i,B_3: $i] :
              ( ( A != A_3 )
              | ( B != B_3 )
              | ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B )
                = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_3 ) @ B_3 ) ) )
          & ! [A_3: $i] :
              ( ! [B_3: $i] :
                  ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B )
                 != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_3 ) @ B_3 ) )
              | ( A = A_3 ) )
          & ! [A_3: $i,B_3: $i] :
              ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B )
               != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_3 ) @ B_3 ) )
              | ( B = B_3 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1827]) ).

thf(2009,plain,
    ( ( ! [A: $i,B: $i] :
          ( ! [A_3: $i] :
              ( ! [B_3: $i] :
                  ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B )
                 != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_3 ) @ B_3 ) )
              | ( A = A_3 ) )
          & ! [A_3: $i,B_3: $i] :
              ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B )
               != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_3 ) @ B_3 ) )
              | ( B = B_3 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1828]) ).

thf(2010,plain,
    ( ( ! [A: $i,B: $i] :
          ( ! [A_3: $i] :
              ( ! [B_3: $i] :
                  ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B )
                 != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_3 ) @ B_3 ) )
              | ( A = A_3 ) )
          & ! [A_3: $i,B_3: $i] :
              ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B )
               != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_3 ) @ B_3 ) )
              | ( B = B_3 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1829]) ).

thf(2011,plain,
    ( ( ! [A: $i,B: $i] :
          ( ! [A_3: $i] :
              ( ! [B_3: $i] :
                  ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B )
                 != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_3 ) @ B_3 ) )
              | ( A = A_3 ) )
          & ! [A_3: $i,B_3: $i] :
              ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B )
               != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_3 ) @ B_3 ) )
              | ( B = B_3 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1830]) ).

thf(2012,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK70_A_1 @ Y_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK71_SY1168 @ Y_2 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK72_SY1171 @ Y_2 ) ) @ ( sK73_SY1173 @ Y_2 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1831]) ).

thf(2013,plain,
    ( ( ! [X_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK74_A_1 @ Pa @ X_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK75_SY1174 @ Pa @ X_2 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK76_SY1177 @ Pa @ X_2 ) ) @ ( sK77_SY1179 @ Pa @ X_2 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1832]) ).

thf(2014,plain,
    ( ( ! [M_1: $i,A: $i,X_2: $i,N: $i,Y_2: $i] :
          ( ( ( fun_up204312361on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ X_2 ) )
           != ( fun_up204312361on_val @ N @ A @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          | ( X_2 = Y_2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1833]) ).

thf(2015,plain,
    ( ( ! [M_1: $i,A: $i,X_2: $i,N: $i,Y_2: $i] :
          ( ( ( fun_up1149430426on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ X_2 ) )
           != ( fun_up1149430426on_val @ N @ A @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          | ( X_2 = Y_2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1834]) ).

thf(2016,plain,
    ( ( ! [T_2: $i,K: $i,X_2: $i] :
          ( ( ( hAPP_P2094403585on_val @ T_2 @ K )
           != ( hAPP_val_option_val @ some_val @ X_2 ) )
          | ( ( fun_up204312361on_val @ T_2 @ K @ ( hAPP_val_option_val @ some_val @ X_2 ) )
            = T_2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1835]) ).

thf(2017,plain,
    ( ( ! [T_2: $i,K: $i,X_2: $i] :
          ( ( ( hAPP_l207779698on_val @ T_2 @ K )
           != ( hAPP_val_option_val @ some_val @ X_2 ) )
          | ( ( fun_up1149430426on_val @ T_2 @ K @ ( hAPP_val_option_val @ some_val @ X_2 ) )
            = T_2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1836]) ).

thf(2018,plain,
    ( ( ! [M_1: $i,A: $i,B: $i] :
          ( ! [X_2: $i] :
              ( ! [Y_2: $i] :
                  ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
                 != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( X_2 = A )
              | ( X_2 != A ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( X_2 = A )
              | ( ( hAPP_P2094403585on_val @ M_1 @ X_2 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( B = Y_2 )
              | ( X_2 != A ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( B = Y_2 )
              | ( ( hAPP_P2094403585on_val @ M_1 @ X_2 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( X_2 != A )
              | ( B != Y_2 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( X_2 = A )
              | ( ( hAPP_P2094403585on_val @ M_1 @ X_2 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1837]) ).

thf(2019,plain,
    ( ( ! [M_1: $i,A: $i,B: $i] :
          ( ! [X_2: $i] :
              ( ! [Y_2: $i] :
                  ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
                 != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( X_2 = A )
              | ( X_2 != A ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( X_2 = A )
              | ( ( hAPP_l207779698on_val @ M_1 @ X_2 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( B = Y_2 )
              | ( X_2 != A ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( B = Y_2 )
              | ( ( hAPP_l207779698on_val @ M_1 @ X_2 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( X_2 != A )
              | ( B != Y_2 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( X_2 = A )
              | ( ( hAPP_l207779698on_val @ M_1 @ X_2 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[1838]) ).

thf(2020,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1453283057l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1843]) ).

thf(2021,plain,
    ( ( ( hAPP_l207779698on_val @ l_a @ v_1 )
      = ( hAPP_val_option_val @ some_val @ v_2 ) )
    = $true ),
    inference(copy,[status(thm)],[1842]) ).

thf(2022,plain,
    ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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)],[1841]) ).

thf(2023,plain,
    ( ( ! [F_1: $i,X_2: $i] :
          ( ( fun_up1149430426on_val @ F_1 @ X_2 @ ( hAPP_l207779698on_val @ F_1 @ X_2 ) )
          = F_1 ) )
    = $true ),
    inference(copy,[status(thm)],[1840]) ).

thf(2024,plain,
    ( ( hBOOL @ ( wf_pro755087577t_char @ wf_J_mdecl @ p ) )
    = $true ),
    inference(copy,[status(thm)],[1839]) ).

thf(2025,plain,
    ( ( ! [M_1: $i,A: $i,B: $i] :
          ( ! [X_2: $i] :
              ( ! [Y_2: $i] :
                  ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
                 != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( X_2 = A )
              | ( X_2 != A ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( X_2 = A )
              | ( ( hAPP_l207779698on_val @ M_1 @ X_2 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( B = Y_2 )
              | ( X_2 != A ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( B = Y_2 )
              | ( ( hAPP_l207779698on_val @ M_1 @ X_2 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( X_2 != A )
              | ( B != Y_2 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( X_2 = A )
              | ( ( hAPP_l207779698on_val @ M_1 @ X_2 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2019]) ).

thf(2026,plain,
    ( ( ! [M_1: $i,A: $i,B: $i] :
          ( ! [X_2: $i] :
              ( ! [Y_2: $i] :
                  ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
                 != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( X_2 = A )
              | ( X_2 != A ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( X_2 = A )
              | ( ( hAPP_P2094403585on_val @ M_1 @ X_2 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( B = Y_2 )
              | ( X_2 != A ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( B = Y_2 )
              | ( ( hAPP_P2094403585on_val @ M_1 @ X_2 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( X_2 != A )
              | ( B != Y_2 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( X_2 = A )
              | ( ( hAPP_P2094403585on_val @ M_1 @ X_2 )
               != ( hAPP_val_option_val @ some_val @ Y_2 ) )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_2 )
                = ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2018]) ).

thf(2027,plain,
    ( ( ! [T_2: $i,K: $i,X_2: $i] :
          ( ( ( hAPP_l207779698on_val @ T_2 @ K )
           != ( hAPP_val_option_val @ some_val @ X_2 ) )
          | ( ( fun_up1149430426on_val @ T_2 @ K @ ( hAPP_val_option_val @ some_val @ X_2 ) )
            = T_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[2017]) ).

thf(2028,plain,
    ( ( ! [T_2: $i,K: $i,X_2: $i] :
          ( ( ( hAPP_P2094403585on_val @ T_2 @ K )
           != ( hAPP_val_option_val @ some_val @ X_2 ) )
          | ( ( fun_up204312361on_val @ T_2 @ K @ ( hAPP_val_option_val @ some_val @ X_2 ) )
            = T_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[2016]) ).

thf(2029,plain,
    ( ( ! [M_1: $i,A: $i,X_2: $i,N: $i,Y_2: $i] :
          ( ( ( fun_up1149430426on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ X_2 ) )
           != ( fun_up1149430426on_val @ N @ A @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          | ( X_2 = Y_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[2015]) ).

thf(2030,plain,
    ( ( ! [M_1: $i,A: $i,X_2: $i,N: $i,Y_2: $i] :
          ( ( ( fun_up204312361on_val @ M_1 @ A @ ( hAPP_val_option_val @ some_val @ X_2 ) )
           != ( fun_up204312361on_val @ N @ A @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          | ( X_2 = Y_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[2014]) ).

thf(2031,plain,
    ( ( ! [X_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK74_A_1 @ Pa @ X_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK75_SY1174 @ Pa @ X_2 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK76_SY1177 @ Pa @ X_2 ) ) @ ( sK77_SY1179 @ Pa @ X_2 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2013]) ).

thf(2032,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK70_A_1 @ Y_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK71_SY1168 @ Y_2 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK72_SY1171 @ Y_2 ) ) @ ( sK73_SY1173 @ Y_2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2012]) ).

thf(2033,plain,
    ( ( ! [A: $i,B: $i] :
          ( ! [A_3: $i] :
              ( ! [B_3: $i] :
                  ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B )
                 != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_3 ) @ B_3 ) )
              | ( A = A_3 ) )
          & ! [A_3: $i,B_3: $i] :
              ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B )
               != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_3 ) @ B_3 ) )
              | ( B = B_3 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2011]) ).

thf(2034,plain,
    ( ( ! [A: $i,B: $i] :
          ( ! [A_3: $i] :
              ( ! [B_3: $i] :
                  ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B )
                 != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_3 ) @ B_3 ) )
              | ( A = A_3 ) )
          & ! [A_3: $i,B_3: $i] :
              ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B )
               != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_3 ) @ B_3 ) )
              | ( B = B_3 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2010]) ).

thf(2035,plain,
    ( ( ! [A: $i,B: $i] :
          ( ! [A_3: $i] :
              ( ! [B_3: $i] :
                  ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B )
                 != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_3 ) @ B_3 ) )
              | ( A = A_3 ) )
          & ! [A_3: $i,B_3: $i] :
              ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B )
               != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_3 ) @ B_3 ) )
              | ( B = B_3 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2009]) ).

thf(2036,plain,
    ( ( ! [A: $i,B: $i] :
          ( ! [A_3: $i,B_3: $i] :
              ( ( A != A_3 )
              | ( B != B_3 )
              | ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B )
                = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_3 ) @ B_3 ) ) )
          & ! [A_3: $i] :
              ( ! [B_3: $i] :
                  ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B )
                 != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_3 ) @ B_3 ) )
              | ( A = A_3 ) )
          & ! [A_3: $i,B_3: $i] :
              ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B )
               != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_3 ) @ B_3 ) )
              | ( B = B_3 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2008]) ).

thf(2037,plain,
    ( ( ! [A: $i,B: $i] :
          ( ! [A_3: $i,B_3: $i] :
              ( ( A != A_3 )
              | ( B != B_3 )
              | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B )
                = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_3 ) @ B_3 ) ) )
          & ! [A_3: $i] :
              ( ! [B_3: $i] :
                  ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B )
                 != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_3 ) @ B_3 ) )
              | ( A = A_3 ) )
          & ! [A_3: $i,B_3: $i] :
              ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B )
               != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_3 ) @ B_3 ) )
              | ( B = B_3 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2007]) ).

thf(2038,plain,
    ( ( ! [A: $i,B: $i] :
          ( ! [A_3: $i,B_3: $i] :
              ( ( A != A_3 )
              | ( B != B_3 )
              | ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B )
                = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_3 ) @ B_3 ) ) )
          & ! [A_3: $i] :
              ( ! [B_3: $i] :
                  ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B )
                 != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_3 ) @ B_3 ) )
              | ( A = A_3 ) )
          & ! [A_3: $i,B_3: $i] :
              ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B )
               != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_3 ) @ B_3 ) )
              | ( B = B_3 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2006]) ).

thf(2039,plain,
    ( ( ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( sK69_X1 @ Pa ) ) )
          | ! [A_1: $i,B_2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B_2 ) ) ) )
      & ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK67_A_1 @ Pa ) ) @ ( sK68_SY1167 @ Pa ) ) ) )
          | ! [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2005]) ).

thf(2040,plain,
    ( ( ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( sK66_X1 @ Pa ) ) )
          | ! [A_1: $i,B_2: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B_2 ) ) ) )
      & ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK64_A_1 @ Pa ) ) @ ( sK65_SY1166 @ Pa ) ) ) )
          | ! [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2004]) ).

thf(2041,plain,
    ( ( ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( sK63_X1 @ Pa ) ) )
          | ! [A_1: $i,B_2: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B_2 ) ) ) )
      & ! [Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK61_A_1 @ Pa ) ) @ ( sK62_SY1165 @ Pa ) ) ) )
          | ! [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2003]) ).

thf(2042,plain,
    ( ( ! [F_1: $i,B: $i] :
          ( ! [A: $i,X_1: $i] :
              ( ( X_1 != A )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A @ B ) @ X_1 )
                = B ) )
          & ! [A: $i,X_1: $i] :
              ( ( X_1 = A )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A @ B ) @ X_1 )
                = ( hAPP_l207779698on_val @ F_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2002]) ).

thf(2043,plain,
    ( ( ! [F_1: $i,X_2: $i,Y_2: $i] :
          ( ( ( hAPP_l207779698on_val @ F_1 @ X_2 )
           != Y_2 )
          | ( ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 )
            = F_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[2001]) ).

thf(2044,plain,
    ( ( ! [F_1: $i,Y_2: $i,Z_1: $i,X_2: $i] :
          ( ( Z_1 = X_2 )
          | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
            = ( hAPP_l207779698on_val @ F_1 @ Z_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2000]) ).

thf(2045,plain,
    ( ( ! [M_1: $i,B: $i,D_1: $i,A: $i,C_2: $i] :
          ( ( A = C_2 )
          | ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M_1 @ A @ B ) @ C_2 @ D_1 )
            = ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M_1 @ C_2 @ D_1 ) @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1999]) ).

thf(2046,plain,
    ( ( ! [F_1: $i,Y_2: $i] :
          ( ! [Z_1: $i,X_2: $i] :
              ( ( Z_1 != X_2 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
                = Y_2 ) )
          & ! [Z_1: $i,X_2: $i] :
              ( ( Z_1 = X_2 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
                = ( hAPP_l207779698on_val @ F_1 @ Z_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1998]) ).

thf(2047,plain,
    ( ( ! [F_1: $i,X_2: $i,Y_2: $i] :
          ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 ) @ X_2 )
          = Y_2 ) )
    = $true ),
    inference(copy,[status(thm)],[1816]) ).

thf(2048,plain,
    ( ( ! [F_1: $i,X_2: $i,Y_2: $i,Z_1: $i] :
          ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 ) @ X_2 @ Z_1 )
          = ( fun_up1149430426on_val @ F_1 @ X_2 @ Z_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1815]) ).

thf(2049,plain,
    ( ( ! [F_1: $i] :
          ( ! [X_2: $i,Y_2: $i] :
              ( ( ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 )
               != F_1 )
              | ( ( hAPP_l207779698on_val @ F_1 @ X_2 )
                = Y_2 ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( ( hAPP_l207779698on_val @ F_1 @ X_2 )
               != Y_2 )
              | ( ( fun_up1149430426on_val @ F_1 @ X_2 @ Y_2 )
                = F_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1997]) ).

thf(2050,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK58_A_1 @ Y_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK59_SY1162 @ Y_2 ) ) @ ( sK60_SY1164 @ Y_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1996]) ).

thf(2051,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK55_A_1 @ Y_2 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK56_SY1159 @ Y_2 ) ) @ ( sK57_SY1161 @ Y_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1995]) ).

thf(2052,plain,
    ( ( ! [X_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK52_A_1 @ Pa @ X_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK53_SY1156 @ Pa @ X_2 ) ) @ ( sK54_SY1158 @ Pa @ X_2 ) ) ) ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1994]) ).

thf(2053,plain,
    ( ( ! [X_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK49_A_1 @ Pa @ X_2 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK50_SY1153 @ Pa @ X_2 ) ) @ ( sK51_SY1155 @ Pa @ X_2 ) ) ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1993]) ).

thf(2054,plain,
    ( ( ! [S_4: $i,R_2: $i] :
          ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ R_2 @ S_4 ) ) @ ( sK48_SY1152 @ R_2 @ S_4 ) ) ) @ R_2 ) )
              | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ R_2 @ S_4 ) ) @ ( sK48_SY1152 @ R_2 @ S_4 ) ) ) @ S_4 ) ) )
            & ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ R_2 @ S_4 ) ) @ ( sK48_SY1152 @ R_2 @ S_4 ) ) ) @ R_2 ) )
              | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ R_2 @ S_4 ) ) @ ( sK48_SY1152 @ R_2 @ S_4 ) ) ) @ S_4 ) ) ) )
          | ( R_2 = S_4 ) )
      & ! [S_4: $i,R_2: $i] :
          ( ( R_2 != S_4 )
          | ( ! [X_1: $i,Xa: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_1 ) @ Xa ) ) @ R_2 ) )
                | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_1 ) @ Xa ) ) @ S_4 ) ) )
            & ! [X_1: $i,Xa: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_1 ) @ Xa ) ) @ S_4 ) )
                | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_1 ) @ Xa ) ) @ R_2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1992]) ).

thf(2055,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK45_A_1 @ Y_2 ) ) @ ( sK46_SY1151 @ Y_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1991]) ).

thf(2056,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK43_A_1 @ Y_2 ) ) @ ( sK44_SY1150 @ Y_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1990]) ).

thf(2057,plain,
    ( ( ! [Y_2: $i] :
          ( Y_2
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK41_A_1 @ Y_2 ) ) @ ( sK42_SY1149 @ Y_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1989]) ).

thf(2058,plain,
    ( ( ! [P_1: $i] :
          ( P_1
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK39_X_1 @ P_1 ) ) @ ( sK40_SY1148 @ P_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1988]) ).

thf(2059,plain,
    ( ( ! [P_1: $i] :
          ( P_1
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK37_X_1 @ P_1 ) ) @ ( sK38_SY1147 @ P_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1987]) ).

thf(2060,plain,
    ( ( ! [P_1: $i] :
          ( P_1
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK35_X_1 @ P_1 ) ) @ ( sK36_SY1146 @ P_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1986]) ).

thf(2061,plain,
    ( ( ! [Pa: $i] :
          ( ! [X1: $i] :
              ~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK33_A_1 @ Pa ) ) @ ( sK34_SY1145 @ Pa ) ) ) ) )
      & ! [Pa: $i] :
          ( ! [A_1: $i,B_2: $i] :
              ~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B_2 ) ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( sK32_X1 @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1985]) ).

thf(2062,plain,
    ( ( ! [Pa: $i] :
          ( ! [X1: $i] :
              ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK30_A_1 @ Pa ) ) @ ( sK31_SY1144 @ Pa ) ) ) ) )
      & ! [Pa: $i] :
          ( ! [A_1: $i,B_2: $i] :
              ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B_2 ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( sK29_X1 @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1984]) ).

thf(2063,plain,
    ( ( ! [Pa: $i] :
          ( ! [X1: $i] :
              ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK27_A_1 @ Pa ) ) @ ( sK28_SY1143 @ Pa ) ) ) ) )
      & ! [Pa: $i] :
          ( ! [A_1: $i,B_2: $i] :
              ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B_2 ) ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( sK26_X1 @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1983]) ).

thf(2064,plain,
    ( ( ! [Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i] :
          ( ! [L_b: $i,Pa: $i] :
              ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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)],[1982]) ).

thf(2065,plain,
    ( ( ! [A: $i,A_3: $i] :
          ( ( ( hAPP_val_option_val @ some_val @ A )
           != ( hAPP_val_option_val @ some_val @ A_3 ) )
          | ( A = A_3 ) )
      & ! [A: $i,A_3: $i] :
          ( ( A != A_3 )
          | ( ( hAPP_val_option_val @ some_val @ A )
            = ( hAPP_val_option_val @ some_val @ A_3 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1981]) ).

thf(2066,plain,
    ( ( ! [L_0: $i,Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 @ 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 @ L_b ) ) ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1980]) ).

thf(2067,plain,
    ( ( ! [M_1: $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_1 @ N ) @ K )
            = ( hAPP_val_option_val @ some_val @ Xx ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1979]) ).

thf(2068,plain,
    ( ( ! [X_2: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ A_2 ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ A_2 @ X_2 ) ) )
      & ! [X_2: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ A_2 @ X_2 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ A_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1978]) ).

thf(2069,plain,
    ( ( ! [Va_1: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1977]) ).

thf(2070,plain,
    ( ( ! [E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1976]) ).

thf(2071,plain,
    ( ( ! [F_1: $i,G: $i,X_2: $i,Y_2: $i] :
          ( ( map_ad1185064968ar_val @ F_1 @ ( fun_up204312361on_val @ G @ X_2 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ F_1 @ G ) @ X_2 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1792]) ).

thf(2072,plain,
    ( ( ! [F_1: $i,G: $i,X_2: $i,Y_2: $i] :
          ( ( map_ad325961431ar_val @ F_1 @ ( fun_up1149430426on_val @ G @ X_2 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
          = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ F_1 @ G ) @ X_2 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1791]) ).

thf(2073,plain,
    ( ( ! [E_2: $i,T_2_2: $i,Pa: $i,Hb: $i,Ea: $i,E_1_1: $i] :
          ( ! [T_1_1: $i] :
              ~ ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ E_1_1 @ T_1_1 ) )
          | ~ ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ E_2 @ T_2_2 ) )
          | ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ ( seq_list_char @ E_1_1 @ E_2 ) @ T_2_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1975]) ).

thf(2074,plain,
    ( ( ! [Hb: $i] : ( hBOOL @ ( hext @ Hb @ Hb ) ) )
    = $true ),
    inference(copy,[status(thm)],[1789]) ).

thf(2075,plain,
    ( ( ! [H_b: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
          ( ~ ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ Ta ) )
          | ~ ( hBOOL @ ( hext @ Hb @ H_b ) )
          | ( hBOOL @ ( wTrt_1 @ Pa @ H_b @ Ea @ Eb @ Ta ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1974]) ).

thf(2076,plain,
    ( ( ! [H_4: $i,Hb: $i,H_b: $i] :
          ( ~ ( hBOOL @ ( hext @ Hb @ H_b ) )
          | ~ ( hBOOL @ ( hext @ H_b @ H_4 ) )
          | ( hBOOL @ ( hext @ Hb @ H_4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1973]) ).

thf(2077,plain,
    ( ( ! [Va_1: $i] :
          ( ! [Eb: $i,A_2: $i] :
              ( ~ ( hBOOL @ ( d_list_char @ ( lAss_list_char @ Va_1 @ Eb ) @ A_2 ) )
              | ( hBOOL @ ( d_list_char @ Eb @ A_2 ) ) )
          & ! [Eb: $i,A_2: $i] :
              ( ~ ( hBOOL @ ( d_list_char @ Eb @ A_2 ) )
              | ( hBOOL @ ( d_list_char @ ( lAss_list_char @ Va_1 @ Eb ) @ A_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1972]) ).

thf(2078,plain,
    ( ( ! [A_5: $i] :
          ( none_val
         != ( hAPP_val_option_val @ some_val @ A_5 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1971]) ).

thf(2079,plain,
    ( ( ! [A_4: $i] :
          ( ( hAPP_val_option_val @ some_val @ A_4 )
         != none_val ) )
    = $true ),
    inference(copy,[status(thm)],[1970]) ).

thf(2080,plain,
    ( ( ! [X_2: $i] :
          ( ( X_2
            = ( hAPP_val_option_val @ some_val @ ( sK25_Y_1 @ X_2 ) ) )
          | ( X_2 = none_val ) )
      & ! [X_2: $i] :
          ( ( X_2 != none_val )
          | ! [Y_1: $i] :
              ( X_2
             != ( hAPP_val_option_val @ some_val @ Y_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1969]) ).

thf(2081,plain,
    ( ( ! [X_2: $i] :
          ( ( X_2 = none_val )
          | ( X_2
            = ( hAPP_val_option_val @ some_val @ ( sK24_Y_1 @ X_2 ) ) ) )
      & ! [X_2: $i] :
          ( ! [Y_1: $i] :
              ( X_2
             != ( hAPP_val_option_val @ some_val @ Y_1 ) )
          | ( X_2 != none_val ) ) )
    = $true ),
    inference(copy,[status(thm)],[1968]) ).

thf(2082,plain,
    ( ( ! [T_2: $i,K: $i,X_2: $i] :
          ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ T_2 @ K @ ( hAPP_val_option_val @ some_val @ X_2 ) ) @ ( sK23_X_1 @ X_2 @ K @ T_2 ) )
         != none_val ) )
    = $true ),
    inference(copy,[status(thm)],[1967]) ).

thf(2083,plain,
    ( ( ! [E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1966]) ).

thf(2084,plain,
    ( ( ! [Va_1: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1965]) ).

thf(2085,plain,
    ( ( ! [L_0: $i,Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 @ 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 @ L_b ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1964]) ).

thf(2086,plain,
    ( ( ! [A: $i,R_1: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ A ) ) @ ( transi2024712006on_val @ R_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1777]) ).

thf(2087,plain,
    ( ( ! [P_1: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ P_1 ) @ R_1 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ P_1 ) @ ( transi2024712006on_val @ R_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1963]) ).

thf(2088,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ A_2 ) )
          | ( A_2 = B_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1962]) ).

thf(2089,plain,
    ( ( ! [C_2: $i,A_2: $i,B_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ A_2 ) @ B_1 ) )
          | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ A_2 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ B_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1961]) ).

thf(2090,plain,
    ( ( ! [R_1: $i,S: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ R_1 ) @ S ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ ( transi2024712006on_val @ R_1 ) ) @ ( transi2024712006on_val @ S ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1960]) ).

thf(2091,plain,
    ( ( ! [R_2: $i,S_4: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ R_2 ) @ S_4 ) )
          | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ S_4 ) @ ( transi2024712006on_val @ R_2 ) ) )
          | ( ( transi2024712006on_val @ S_4 )
            = ( transi2024712006on_val @ R_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1959]) ).

thf(2092,plain,
    ( ( ! [R_1: $i,S: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ R_1 ) @ ( transi2024712006on_val @ S ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ ( transi2024712006on_val @ R_1 ) ) @ ( transi2024712006on_val @ S ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1958]) ).

thf(2093,plain,
    ( ( ! [X_3: $i] :
          ( ( hAPP_option_val_val @ the_val @ ( hAPP_val_option_val @ some_val @ X_3 ) )
          = X_3 ) )
    = $true ),
    inference(copy,[status(thm)],[1770]) ).

thf(2094,plain,
    ( ( ! [A_2: $i] : ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ A_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1769]) ).

thf(2095,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ A_2 ) )
          | ( A_2 = B_1 ) )
      & ! [A_2: $i,B_1: $i] :
          ( ( A_2 != B_1 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) ) )
      & ! [A_2: $i,B_1: $i] :
          ( ( A_2 != B_1 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ A_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1957]) ).

thf(2096,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ( A_2 != B_1 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1956]) ).

thf(2097,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ( A_2 != B_1 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ A_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1955]) ).

thf(2098,plain,
    ( ( ! [X_2: $i,A_2: $i,B_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ A_2 ) @ B_1 ) )
          | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ A_2 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ B_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1954]) ).

thf(2099,plain,
    ( ( ! [B_1: $i,X_2: $i,A_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ A_2 ) )
          | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ A_2 ) @ B_1 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ B_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1953]) ).

thf(2100,plain,
    ( ( ! [X_2: $i,A_2: $i,B_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ A_2 ) @ B_1 ) )
          | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ A_2 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ X_2 ) @ B_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1952]) ).

thf(2101,plain,
    ( ( ! [C: $i,A_2: $i,B_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ C ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1951]) ).

thf(2102,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ( A_2 != B_1 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A_2 ) @ B_1 ) ) )
      & ! [A_2: $i,B_1: $i] :
          ( ( A_2 != B_1 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B_1 ) @ A_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1950]) ).

thf(2103,plain,
    ( ( ! [C_2: $i,A: $i,B: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ R_1 ) )
          | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ B ) @ C_2 ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ C_2 ) ) @ ( transi2024712006on_val @ R_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1949]) ).

thf(2104,plain,
    ( ( ! [C_2: $i,A: $i,B: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ B ) @ C_2 ) ) @ R_1 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ C_2 ) ) @ ( transi2024712006on_val @ R_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1948]) ).

thf(2105,plain,
    ( ( ! [C_2: $i,A: $i,B: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ B ) @ C_2 ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ C_2 ) ) @ ( transi2024712006on_val @ R_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1947]) ).

thf(2106,plain,
    ( ( ! [B_1: $i,A_2: $i] :
          ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( sK22_X_1 @ A_2 @ B_1 ) ) @ A_2 ) )
            & ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( sK22_X_1 @ A_2 @ B_1 ) ) @ B_1 ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ A_2 ) @ B_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1946]) ).

thf(2107,plain,
    ( ( ! [Xa_1: $i,Xb_1: $i,Za: $i,Zb: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Xa_1 ) @ Xb_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Za ) @ Zb ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Xa_1 ) @ Xb_1 )
            = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Za ) @ Zb ) )
          | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Xa_1 ) @ Xb_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ R_1 @ Zb @ Za @ Xb_1 @ Xa_1 ) ) @ ( sK21_SY1142 @ R_1 @ Zb @ Za @ Xb_1 @ Xa_1 ) ) ) ) @ R_1 ) )
            & ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ R_1 @ Zb @ Za @ Xb_1 @ Xa_1 ) ) @ ( sK21_SY1142 @ R_1 @ Zb @ Za @ Xb_1 @ Xa_1 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Za ) @ Zb ) ) ) @ ( transi2024712006on_val @ R_1 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1945]) ).

thf(2108,plain,
    ( ( ! [Y_3: $i] :
          ( ( Y_3 = none_val )
          | ( Y_3
            = ( hAPP_val_option_val @ some_val @ ( sK19_A_1 @ Y_3 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1944]) ).

thf(2109,plain,
    ( ( ! [X_2: $i] : ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ X_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1754]) ).

thf(2110,plain,
    ( ( ! [Pa: $i,A: $i,B: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ A ) )
          | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( sK17_Y_1 @ R_1 @ B @ A @ Pa ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
            & ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK17_Y_1 @ R_1 @ B @ A @ Pa ) ) @ ( sK18_SY1141 @ R_1 @ B @ A @ Pa ) ) ) @ R_1 ) )
            & ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( sK17_Y_1 @ R_1 @ B @ A @ Pa ) ) )
            & ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( sK18_SY1141 @ R_1 @ B @ A @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1943]) ).

thf(2111,plain,
    ( ( ! [Z_1: $i,Y_2: $i,X_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Z_1 ) @ Y_2 ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Z_1 ) @ X_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1942]) ).

thf(2112,plain,
    ( ( ! [Y_2: $i,X_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) )
          | ( X_2 = Y_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1941]) ).

thf(2113,plain,
    ( ( ! [Z_1: $i,X_2: $i,Y_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ Z_1 ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Z_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1940]) ).

thf(2114,plain,
    ( ( ! [X_2: $i,Y_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) )
          | ( X_2 = Y_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1939]) ).

thf(2115,plain,
    ( ( ! [C_2: $i,B: $i,A: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B ) @ A ) )
          | ( B != C_2 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ C_2 ) @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1938]) ).

thf(2116,plain,
    ( ( ! [C_2: $i,A: $i,B: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A ) @ B ) )
          | ( B != C_2 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A ) @ C_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1937]) ).

thf(2117,plain,
    ( ( ! [C_2: $i,A: $i,B: $i] :
          ( ( A != B )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ C_2 ) @ B ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ C_2 ) @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1936]) ).

thf(2118,plain,
    ( ( ! [C_2: $i,A: $i,B: $i] :
          ( ( A != B )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ B ) @ C_2 ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ A ) @ C_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1935]) ).

thf(2119,plain,
    ( ( ! [Y_2: $i,X_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) )
          | ( X_2 != Y_2 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) ) )
      & ! [Y_2: $i,X_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) )
          | ( X_2 = Y_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1934]) ).

thf(2120,plain,
    ( ( ! [X_2: $i,Y_2: $i] :
          ( ( X_2 != Y_2 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1933]) ).

thf(2121,plain,
    ( ( ! [X_2: $i,Y_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) )
          | ( X_2 = Y_2 ) )
      & ! [X_2: $i,Y_2: $i] :
          ( ( X_2 != Y_2 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ X_2 ) @ Y_2 ) ) )
      & ! [X_2: $i,Y_2: $i] :
          ( ( X_2 != Y_2 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Y_2 ) @ X_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1932]) ).

thf(2122,plain,
    ( ( ! [A: $i,B: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ( A = B )
          | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( sK16_Y_1 @ R_1 @ B @ A ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
            & ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_Y_1 @ R_1 @ B @ A ) ) @ B ) ) @ R_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1931]) ).

thf(2123,plain,
    ( ( ! [X_2: $i,Z_1: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Z_1 ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ( X_2 = Z_1 )
          | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ ( sK15_Y_1 @ R_1 @ Z_1 @ X_2 ) ) ) @ R_1 ) )
            & ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK15_Y_1 @ R_1 @ Z_1 @ X_2 ) ) @ Z_1 ) ) @ ( transi2024712006on_val @ R_1 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1930]) ).

thf(2124,plain,
    ( ( ! [Pa: $i,A: $i,B: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ B ) )
          | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK13_Y_1 @ R_1 @ B @ A @ Pa ) ) @ ( sK14_SY1140 @ R_1 @ B @ A @ Pa ) ) ) @ R_1 ) )
            & ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_SY1140 @ R_1 @ B @ A @ Pa ) ) @ B ) ) @ ( transi2024712006on_val @ R_1 ) ) )
            & ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( sK14_SY1140 @ R_1 @ B @ A @ Pa ) ) )
            & ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( sK13_Y_1 @ R_1 @ B @ A @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1929]) ).

thf(2125,plain,
    ( ( ! [C_2: $i,A_2: $i,B_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ ( semila751111325l_bool @ A_2 @ B_1 ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ A_2 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ B_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1928]) ).

thf(2126,plain,
    ( ( ! [A_2: $i] :
          ( ! [C_2: $i,B_1: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ B_1 ) )
              | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ ( semila751111325l_bool @ A_2 @ B_1 ) ) ) )
          & ! [C_2: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ A_2 ) )
              | ! [B_1: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ C_2 ) @ ( semila751111325l_bool @ A_2 @ B_1 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1927]) ).

thf(2127,plain,
    ( ( ! [A_2: $i,B_1: $i,X_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ A_2 @ B_1 ) @ X_2 ) )
          | ( hBOOL @ ( hAPP_list_char_bool @ A_2 @ X_2 ) )
          | ( hBOOL @ ( hAPP_list_char_bool @ B_1 @ X_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1926]) ).

thf(2128,plain,
    ( ( ! [A_2: $i] :
          ( ! [B_1: $i,X_2: $i] :
              ( ~ ( hBOOL @ ( hAPP_list_char_bool @ B_1 @ X_2 ) )
              | ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ A_2 @ B_1 ) @ X_2 ) ) )
          & ! [B_1: $i,X_2: $i] :
              ( ~ ( hBOOL @ ( hAPP_list_char_bool @ A_2 @ X_2 ) )
              | ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ A_2 @ B_1 ) @ X_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1925]) ).

thf(2129,plain,
    ( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_b @ F @ D @ E_2 ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1924]) ).

thf(2130,plain,
    ( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_b @ F @ D @ E_2 ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1923]) ).

thf(2131,plain,
    ( ( ! [Eb: $i,F: $i,D: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1732]) ).

thf(2132,plain,
    ( ( ! [Eb: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1731]) ).

thf(2133,plain,
    ( ( ! [Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1922]) ).

thf(2134,plain,
    ( ( ! [F: $i,D: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ E_b @ F @ D ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1921]) ).

thf(2135,plain,
    ( ( ! [Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1920]) ).

thf(2136,plain,
    ( ( ! [Eb: $i,S: $i,A: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1919]) ).

thf(2137,plain,
    ( ( ! [Va_1: $i,Eb: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1726]) ).

thf(2138,plain,
    ( ( ! [Eb: $i,E_2: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1725]) ).

thf(2139,plain,
    ( ( ! [Eb: $i,F: $i,D: $i,E_2: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1724]) ).

thf(2140,plain,
    ( ( ! [F: $i,D: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ E_b @ F @ D ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1918]) ).

thf(2141,plain,
    ( ( ! [Bop: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_b @ Bop @ E_2 ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1917]) ).

thf(2142,plain,
    ( ( ! [C: $i,Va_1: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C @ Va_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ E_b @ C @ Va_1 @ E_2 ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1916]) ).

thf(2143,plain,
    ( ( ! [Eb: $i,Bop: $i,E_2: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1720]) ).

thf(2144,plain,
    ( ( ! [Bop: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_b @ Bop @ E_2 ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1915]) ).

thf(2145,plain,
    ( ( ! [C: $i,Va_1: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C @ Va_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ E_b @ C @ Va_1 @ E_2 ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1914]) ).

thf(2146,plain,
    ( ( ! [C: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ E_b ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1913]) ).

thf(2147,plain,
    ( ( ! [C: $i,Eb: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ ( throw_list_char @ Eb ) ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1716]) ).

thf(2148,plain,
    ( ( ! [C: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1912]) ).

thf(2149,plain,
    ( ( ! [H_b: $i,Hb: $i] :
          ( ~ ( hBOOL @ ( preallocated @ Hb ) )
          | ~ ( hBOOL @ ( hext @ Hb @ H_b ) )
          | ( hBOOL @ ( preallocated @ H_b ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1911]) ).

thf(2150,plain,
    ( ( ! [E_2: $i,T_2_2: $i,Pa: $i,Hb: $i,Ea: $i,E_1_1: $i] :
          ( ! [T_1_1: $i] :
              ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_1_1 @ T_1_1 ) )
          | ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_2 @ T_2_2 ) )
          | ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( seq_list_char @ E_1_1 @ E_2 ) @ T_2_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1910]) ).

thf(2151,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
          ( ~ ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ Ta ) )
          | ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ Ta ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1909]) ).

thf(2152,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i,Eb: $i,Ta: $i] :
          ( ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ Ta ) )
          | ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ Ta ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1908]) ).

thf(2153,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i] :
          ( ! [Eb: $i,Ta: $i] :
              ( ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ Ta ) )
              | ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ Ta ) ) )
          & ! [Eb: $i,Ta: $i] :
              ( ~ ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ Ta ) )
              | ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ Ta ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1907]) ).

thf(2154,plain,
    ( ( ! [Bool_1: $i,Bool: $i] :
          ( ~ ( hBOOL @ Bool_1 )
          | ~ ( hBOOL @ Bool )
          | ( ( bool @ Bool_1 )
            = ( bool @ Bool ) ) )
      & ! [Bool_1: $i,Bool: $i] :
          ( ( hBOOL @ Bool_1 )
          | ( hBOOL @ Bool )
          | ( ( bool @ Bool_1 )
            = ( bool @ Bool ) ) )
      & ! [Bool_1: $i,Bool: $i] :
          ( ( ( bool @ Bool_1 )
           != ( bool @ Bool ) )
          | ~ ( hBOOL @ Bool_1 )
          | ( hBOOL @ Bool ) )
      & ! [Bool_1: $i,Bool: $i] :
          ( ( ( bool @ Bool_1 )
           != ( bool @ Bool ) )
          | ~ ( hBOOL @ Bool )
          | ( hBOOL @ Bool_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1906]) ).

thf(2155,plain,
    ( ( ! [E_1_1: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ Eb @ E_1_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ E_b @ E_1_1 @ E_2 ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1905]) ).

thf(2156,plain,
    ( ( ! [Eb: $i,E_1_1: $i,E_2: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ ( throw_list_char @ Eb ) @ E_1_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1707]) ).

thf(2157,plain,
    ( ( ! [E_1_1: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ Eb @ E_1_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ E_b @ E_1_1 @ E_2 ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1904]) ).

thf(2158,plain,
    ( ( ! [M: $i,Esa: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ Eb @ M @ Esa ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ E_b @ M @ Esa ) ) @ S_2 ) ) ) @ ( red @ Pa ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1903]) ).

thf(2159,plain,
    ( ( ! [Eb: $i,M: $i,Esa: $i,S: $i,Pa: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ ( throw_list_char @ Eb ) @ M @ Esa ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S ) ) ) @ ( red @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1704]) ).

thf(2160,plain,
    ( ( ! [M: $i,Esa: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ Eb @ M @ Esa ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ E_b @ M @ Esa ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1902]) ).

thf(2161,plain,
    ( ( ! [H_b: $i,Pa: $i,Hb: $i,Ea: $i,Esa: $i,Ts: $i] :
          ( ~ ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) )
          | ~ ( hBOOL @ ( hext @ Hb @ H_b ) )
          | ( hBOOL @ ( wTrts_1 @ Pa @ H_b @ Ea @ Esa @ Ts ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1901]) ).

thf(2162,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i] :
          ( ! [Esa: $i,Ts: $i] :
              ( ~ ( hBOOL @ ( wTrts @ Pa @ Hb @ Ea @ Esa @ Ts ) )
              | ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) ) )
          & ! [Esa: $i,Ts: $i] :
              ( ~ ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) )
              | ( hBOOL @ ( wTrts @ Pa @ Hb @ Ea @ Esa @ Ts ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1900]) ).

thf(2163,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i,Esa: $i,Ts: $i] :
          ( ~ ( hBOOL @ ( wTrts @ Pa @ Hb @ Ea @ Esa @ Ts ) )
          | ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1899]) ).

thf(2164,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i,Esa: $i,Ts: $i] :
          ( ~ ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) )
          | ( hBOOL @ ( wTrts @ Pa @ Hb @ Ea @ Esa @ Ts ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1898]) ).

thf(2165,plain,
    ( ( ! [P: $i] :
          ( ~ ( hBOOL @ ( hAPP_bool_bool @ fNot @ P ) )
          | ~ ( hBOOL @ P ) ) )
    = $true ),
    inference(copy,[status(thm)],[1698]) ).

thf(2166,plain,
    ( ( ! [P: $i] :
          ( ( hBOOL @ P )
          | ( hBOOL @ ( hAPP_bool_bool @ fNot @ P ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1697]) ).

thf(2167,plain,
    ( ( hBOOL @ fTrue )
    = $true ),
    inference(copy,[status(thm)],[1696]) ).

thf(2168,plain,
    ( ( ~ ( hBOOL @ fFalse ) )
    = $true ),
    inference(copy,[status(thm)],[1695]) ).

thf(2169,plain,
    ( ( ! [B_1_1: $i] : ( is_bool @ ( final_list_char @ B_1_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1694]) ).

thf(2170,plain,
    ( ( ! [B_1_1: $i] : ( is_bool @ ( finals_list_char @ B_1_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1693]) ).

thf(2171,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)],[1692]) ).

thf(2172,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)],[1691]) ).

thf(2173,plain,
    ( ( ! [B_1_1: $i] : ( is_bool @ ( preallocated @ B_1_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1690]) ).

thf(2174,plain,
    ( ( ! [B_1_1: $i] : ( is_bool @ ( distinct_list_char @ B_1_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1689]) ).

thf(2175,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i,B_3_1: $i] : ( is_bool @ ( list_all2_ty_ty @ B_1_1 @ B_2_1 @ B_3_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1688]) ).

thf(2176,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hext @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1687]) ).

thf(2177,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i,B_3_1: $i,B_4_1: $i,B_5_1: $i] : ( is_bool @ ( wTrt @ B_1_1 @ B_2_1 @ B_3_1 @ B_4_1 @ B_5_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1686]) ).

thf(2178,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i,B_3_1: $i,B_4_1: $i,B_5_1: $i] : ( is_bool @ ( wTrts @ B_1_1 @ B_2_1 @ B_3_1 @ B_4_1 @ B_5_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1685]) ).

thf(2179,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( assigned @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1684]) ).

thf(2180,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i,B_3_1: $i] : ( is_bool @ ( fields1147507508t_char @ B_1_1 @ B_2_1 @ B_3_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1683]) ).

thf(2181,plain,
    ( ( ! [B_1_1: $i] : ( is_bool @ ( is_refT @ B_1_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1682]) ).

thf(2182,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)],[1681]) ).

thf(2183,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i,B_3_1: $i,B_4_1: $i,B_5_1: $i] : ( is_bool @ ( wTrt_1 @ B_1_1 @ B_2_1 @ B_3_1 @ B_4_1 @ B_5_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1680]) ).

thf(2184,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i,B_3_1: $i,B_4_1: $i,B_5_1: $i] : ( is_bool @ ( wTrts_1 @ B_1_1 @ B_2_1 @ B_3_1 @ B_4_1 @ B_5_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1679]) ).

thf(2185,plain,
    ( ( is_bool @ fFalse )
    = $true ),
    inference(copy,[status(thm)],[1678]) ).

thf(2186,plain,
    ( ( is_bool @ fTrue )
    = $true ),
    inference(copy,[status(thm)],[1677]) ).

thf(2187,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_e544220455r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1676]) ).

thf(2188,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)],[1897]) ).

thf(2189,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)],[1674]) ).

thf(2190,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_l902158906r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1673]) ).

thf(2191,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)],[1672]) ).

thf(2192,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_option_ty_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1671]) ).

thf(2193,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_option_val_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1670]) ).

thf(2194,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_o2007402111l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1669]) ).

thf(2195,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_ty_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1668]) ).

thf(2196,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)],[1667]) ).

thf(2197,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1776070952l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1666]) ).

thf(2198,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f570766339l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1665]) ).

thf(2199,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f2041029616l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1664]) ).

thf(2200,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f539072365l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1663]) ).

thf(2201,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f998390560l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1662]) ).

thf(2202,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f986089162l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1661]) ).

thf(2203,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)],[1660]) ).

thf(2204,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)],[1659]) ).

thf(2205,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1776419603l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1658]) ).

thf(2206,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f678833350l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1657]) ).

thf(2207,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1795246582l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1656]) ).

thf(2208,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1931964053l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1655]) ).

thf(2209,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1520735791l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1654]) ).

thf(2210,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1889282162l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1653]) ).

thf(2211,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1118567467l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1652]) ).

thf(2212,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1409772418l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1651]) ).

thf(2213,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f54304608l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1650]) ).

thf(2214,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)],[1649]) ).

thf(2215,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f2071159779l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1648]) ).

thf(2216,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1450446905l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1647]) ).

thf(2217,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f742333458l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1646]) ).

thf(2218,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f588675559l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1645]) ).

thf(2219,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f91506671l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1644]) ).

thf(2220,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f434955681l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1643]) ).

thf(2221,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1734260017l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1642]) ).

thf(2222,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f837795298l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1641]) ).

thf(2223,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f861853459l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1640]) ).

thf(2224,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f82569901l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1639]) ).

thf(2225,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f479632753l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1638]) ).

thf(2226,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1780084320l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1637]) ).

thf(2227,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f2106398425l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1636]) ).

thf(2228,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)],[1635]) ).

thf(2229,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1134950784l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1634]) ).

thf(2230,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f515912112l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1633]) ).

thf(2231,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f483496539l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1632]) ).

thf(2232,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f2050077417l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1631]) ).

thf(2233,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f433445541l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1630]) ).

thf(2234,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1746574980l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1629]) ).

thf(2235,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1314764175l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1628]) ).

thf(2236,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f348753975l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1627]) ).

thf(2237,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f288221747l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1626]) ).

thf(2238,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1161798306l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1625]) ).

thf(2239,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1748390065l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1624]) ).

thf(2240,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f2028441009l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1623]) ).

thf(2241,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1661305905l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1622]) ).

thf(2242,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f966411375l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1621]) ).

thf(2243,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1754555101l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1620]) ).

thf(2244,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f983152497l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1619]) ).

thf(2245,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f126136681l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1618]) ).

thf(2246,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f458849545l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1617]) ).

thf(2247,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f595031537l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1616]) ).

thf(2248,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f528956081l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1615]) ).

thf(2249,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f851858423l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1614]) ).

thf(2250,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f665343921l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1613]) ).

thf(2251,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f538118321l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1612]) ).

thf(2252,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f272179441l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1611]) ).

thf(2253,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f258424141l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1610]) ).

thf(2254,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1145574243l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1609]) ).

thf(2255,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f126445617l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1608]) ).

thf(2256,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f2129782055l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1607]) ).

thf(2257,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1297673713l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1606]) ).

thf(2258,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1261741735l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1605]) ).

thf(2259,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1980787287l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1604]) ).

thf(2260,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)],[1603]) ).

thf(2261,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1632759357r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1602]) ).

thf(2262,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)],[1601]) ).

thf(2263,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P499022727r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1600]) ).

thf(2264,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P71593144l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1599]) ).

thf(2265,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2014166431r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1598]) ).

thf(2266,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P476431815r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1597]) ).

thf(2267,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P92196306r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1596]) ).

thf(2268,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)],[1595]) ).

thf(2269,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P748443392y_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1594]) ).

thf(2270,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)],[1593]) ).

thf(2271,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1680401186r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1592]) ).

thf(2272,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)],[1591]) ).

thf(2273,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P659547099r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1590]) ).

thf(2274,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1574824955y_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1589]) ).

thf(2275,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1907982426r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1588]) ).

thf(2276,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1187139874r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1587]) ).

thf(2277,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2118621157r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1586]) ).

thf(2278,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2115985549l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1585]) ).

thf(2279,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2053453961y_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1584]) ).

thf(2280,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P828904212r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1583]) ).

thf(2281,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1926698759r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1582]) ).

thf(2282,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)],[1581]) ).

thf(2283,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P468446343l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1580]) ).

thf(2284,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)],[1579]) ).

thf(2285,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2077557811l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1578]) ).

thf(2286,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P504978887l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1577]) ).

thf(2287,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P738987199l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1576]) ).

thf(2288,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)],[1575]) ).

thf(2289,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1333315679l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1574]) ).

thf(2290,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1002912327r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1573]) ).

thf(2291,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P824029447r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1572]) ).

thf(2292,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P27757617y_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1571]) ).

thf(2293,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2010574925r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1570]) ).

thf(2294,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P124632071l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1569]) ).

thf(2295,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P975284999r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1568]) ).

thf(2296,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P929449287r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1567]) ).

thf(2297,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1240100515r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1566]) ).

thf(2298,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1183499705r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1565]) ).

thf(2299,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P801803911r_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1564]) ).

thf(2300,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2123002749l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1563]) ).

thf(2301,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1221872711l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1562]) ).

thf(2302,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P378063101l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1561]) ).

thf(2303,plain,
    ( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P2028072621l_bool @ B_1_1 @ B_2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1560]) ).

thf(2304,plain,
    ( ( ! [F_1: $i,X_2: $i] :
          ( ( fun_up204312361on_val @ F_1 @ X_2 @ ( hAPP_P2094403585on_val @ F_1 @ X_2 ) )
          = F_1 ) )
    = $true ),
    inference(copy,[status(thm)],[1559]) ).

thf(2305,plain,
    ( ( ! [F_1: $i,B: $i] :
          ( ! [A: $i,X_1: $i] :
              ( ( X_1 != A )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ A @ B ) @ X_1 )
                = B ) )
          & ! [A: $i,X_1: $i] :
              ( ( X_1 = A )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ A @ B ) @ X_1 )
                = ( hAPP_P2094403585on_val @ F_1 @ X_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1896]) ).

thf(2306,plain,
    ( ( ! [F_1: $i,X_2: $i,Y_2: $i] :
          ( ( ( hAPP_P2094403585on_val @ F_1 @ X_2 )
           != Y_2 )
          | ( ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 )
            = F_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1895]) ).

thf(2307,plain,
    ( ( ! [F_1: $i,Y_2: $i,Z_1: $i,X_2: $i] :
          ( ( Z_1 = X_2 )
          | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
            = ( hAPP_P2094403585on_val @ F_1 @ Z_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1894]) ).

thf(2308,plain,
    ( ( ! [M_1: $i,B: $i,D_1: $i,A: $i,C_2: $i] :
          ( ( A = C_2 )
          | ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ M_1 @ A @ B ) @ C_2 @ D_1 )
            = ( fun_up204312361on_val @ ( fun_up204312361on_val @ M_1 @ C_2 @ D_1 ) @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1893]) ).

thf(2309,plain,
    ( ( ! [F_1: $i,Y_2: $i] :
          ( ! [Z_1: $i,X_2: $i] :
              ( ( Z_1 != X_2 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
                = Y_2 ) )
          & ! [Z_1: $i,X_2: $i] :
              ( ( Z_1 = X_2 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 ) @ Z_1 )
                = ( hAPP_P2094403585on_val @ F_1 @ Z_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1892]) ).

thf(2310,plain,
    ( ( ! [F_1: $i,X_2: $i,Y_2: $i] :
          ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 ) @ X_2 )
          = Y_2 ) )
    = $true ),
    inference(copy,[status(thm)],[1553]) ).

thf(2311,plain,
    ( ( ! [F_1: $i,X_2: $i,Y_2: $i,Z_1: $i] :
          ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 ) @ X_2 @ Z_1 )
          = ( fun_up204312361on_val @ F_1 @ X_2 @ Z_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1552]) ).

thf(2312,plain,
    ( ( ! [F_1: $i] :
          ( ! [X_2: $i,Y_2: $i] :
              ( ( ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 )
               != F_1 )
              | ( ( hAPP_P2094403585on_val @ F_1 @ X_2 )
                = Y_2 ) )
          & ! [X_2: $i,Y_2: $i] :
              ( ( ( hAPP_P2094403585on_val @ F_1 @ X_2 )
               != Y_2 )
              | ( ( fun_up204312361on_val @ F_1 @ X_2 @ Y_2 )
                = F_1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1891]) ).

thf(2313,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)],[1550]) ).

thf(2314,plain,
    ( ( ! [A_17: $i,Ty_7: $i,Exp_13: $i,A_16: $i,Exp_12: $i] :
          ( ( block_list_char @ A_17 @ Ty_7 @ Exp_13 )
         != ( lAss_list_char @ A_16 @ Exp_12 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1890]) ).

thf(2315,plain,
    ( ( ! [A_15: $i,Ty_6: $i,Exp_11: $i,Exp1_7: $i,Exp2_7: $i] :
          ( ( block_list_char @ A_15 @ Ty_6 @ Exp_11 )
         != ( seq_list_char @ Exp1_7 @ Exp2_7 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1889]) ).

thf(2316,plain,
    ( ( ! [A_14: $i,Exp_10: $i,A_13: $i,Ty_5: $i,Exp_9: $i] :
          ( ( lAss_list_char @ A_14 @ Exp_10 )
         != ( block_list_char @ A_13 @ Ty_5 @ Exp_9 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1888]) ).

thf(2317,plain,
    ( ( ! [Exp1_6: $i,Exp2_6: $i] :
          ( ! [Exp1_5: $i,Exp2_5: $i] :
              ( ( Exp1_6 != Exp1_5 )
              | ( Exp2_6 != Exp2_5 )
              | ( ( seq_list_char @ Exp1_6 @ Exp2_6 )
                = ( seq_list_char @ Exp1_5 @ Exp2_5 ) ) )
          & ! [Exp1_5: $i] :
              ( ! [Exp2_5: $i] :
                  ( ( seq_list_char @ Exp1_6 @ Exp2_6 )
                 != ( seq_list_char @ Exp1_5 @ Exp2_5 ) )
              | ( Exp1_6 = Exp1_5 ) )
          & ! [Exp1_5: $i,Exp2_5: $i] :
              ( ( ( seq_list_char @ Exp1_6 @ Exp2_6 )
               != ( seq_list_char @ Exp1_5 @ Exp2_5 ) )
              | ( Exp2_6 = Exp2_5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1887]) ).

thf(2318,plain,
    ( ( ! [A: $i,Exp_8: $i] :
          ( ! [A_3: $i,Exp_7: $i] :
              ( ( A != A_3 )
              | ( Exp_8 != Exp_7 )
              | ( ( lAss_list_char @ A @ Exp_8 )
                = ( lAss_list_char @ A_3 @ Exp_7 ) ) )
          & ! [A_3: $i] :
              ( ! [Exp_7: $i] :
                  ( ( lAss_list_char @ A @ Exp_8 )
                 != ( lAss_list_char @ A_3 @ Exp_7 ) )
              | ( A = A_3 ) )
          & ! [A_3: $i,Exp_7: $i] :
              ( ( ( lAss_list_char @ A @ Exp_8 )
               != ( lAss_list_char @ A_3 @ Exp_7 ) )
              | ( Exp_8 = Exp_7 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1886]) ).

thf(2319,plain,
    ( ( ! [Exp1_2: $i,Exp2_2: $i,A_8: $i,Exp_2: $i] :
          ( ( seq_list_char @ Exp1_2 @ Exp2_2 )
         != ( lAss_list_char @ A_8 @ Exp_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1885]) ).

thf(2320,plain,
    ( ( ! [A_7: $i,Exp_1: $i,Exp1_1: $i,Exp2_1: $i] :
          ( ( lAss_list_char @ A_7 @ Exp_1 )
         != ( seq_list_char @ Exp1_1 @ Exp2_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1884]) ).

thf(2321,plain,
    ( ( ! [Exp1: $i,Exp2: $i,A_6: $i,Ty: $i,Exp: $i] :
          ( ( seq_list_char @ Exp1 @ Exp2 )
         != ( block_list_char @ A_6 @ Ty @ Exp ) ) )
    = $true ),
    inference(copy,[status(thm)],[1883]) ).

thf(2322,plain,
    ( ( ! [Eb: $i,H_0: $i,L_0: $i,E_b: $i,H_1: $i,L_1_1: $i] :
          ( ! [Pa: $i] :
              ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 @ H_0 ) @ L_0 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_1 ) @ L_1_1 ) ) ) ) @ ( red @ Pa ) ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ ( dom_list_char_val @ L_0 ) ) @ ( dom_list_char_val @ L_1_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1882]) ).

thf(2323,plain,
    ( ( ! [Q_1: $i,Pa: $i,X_2: $i] :
          ( ~ ( hBOOL @ ( hAPP_list_char_bool @ Pa @ X_2 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Pa ) @ Q_1 ) )
          | ( hBOOL @ ( hAPP_list_char_bool @ Q_1 @ X_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1881]) ).

thf(2324,plain,
    ( ( ! [X_2: $i,Pa: $i,Q_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ Pa ) @ Q_1 ) )
          | ~ ( hBOOL @ ( hAPP_list_char_bool @ Pa @ X_2 ) )
          | ( hBOOL @ ( hAPP_list_char_bool @ Q_1 @ X_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1880]) ).

thf(2325,plain,
    ( ( ! [M_1: $i] :
          ( ! [N: $i,K: $i] :
              ( ( ( hAPP_l207779698on_val @ N @ K )
               != none_val )
              | ( ( hAPP_l207779698on_val @ M_1 @ K )
               != none_val )
              | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
                = none_val ) )
          & ! [N: $i,K: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
               != none_val )
              | ( ( hAPP_l207779698on_val @ N @ K )
                = none_val ) )
          & ! [N: $i,K: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
               != none_val )
              | ( ( hAPP_l207779698on_val @ M_1 @ K )
                = none_val ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1879]) ).

thf(2326,plain,
    ( ( ! [T_2: $i,K: $i,X_2: $i] :
          ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ T_2 @ K @ ( hAPP_val_option_val @ some_val @ X_2 ) ) @ ( sK12_X_1 @ X_2 @ K @ T_2 ) )
         != none_val ) )
    = $true ),
    inference(copy,[status(thm)],[1878]) ).

thf(2327,plain,
    ( ( ! [M_1: $i,N: $i] :
          ( ! [K: $i,X_2: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
               != ( hAPP_val_option_val @ some_val @ X_2 ) )
              | ( ( hAPP_l207779698on_val @ N @ K )
                = none_val )
              | ( ( hAPP_l207779698on_val @ N @ K )
                = ( hAPP_val_option_val @ some_val @ X_2 ) ) )
          & ! [K: $i,X_2: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
               != ( hAPP_val_option_val @ some_val @ X_2 ) )
              | ( ( hAPP_l207779698on_val @ M_1 @ K )
                = ( hAPP_val_option_val @ some_val @ X_2 ) )
              | ( ( hAPP_l207779698on_val @ N @ K )
                = ( hAPP_val_option_val @ some_val @ X_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1877]) ).

thf(2328,plain,
    ( ( ! [M_1: $i,N: $i] :
          ( ! [K: $i,X_2: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
               != ( hAPP_val_option_val @ some_val @ X_2 ) )
              | ( ( hAPP_l207779698on_val @ N @ K )
                = none_val )
              | ( ( hAPP_l207779698on_val @ N @ K )
                = ( hAPP_val_option_val @ some_val @ X_2 ) ) )
          & ! [K: $i,X_2: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
               != ( hAPP_val_option_val @ some_val @ X_2 ) )
              | ( ( hAPP_l207779698on_val @ M_1 @ K )
                = ( hAPP_val_option_val @ some_val @ X_2 ) )
              | ( ( hAPP_l207779698on_val @ N @ K )
                = ( hAPP_val_option_val @ some_val @ X_2 ) ) )
          & ! [K: $i,X_2: $i] :
              ( ( ( hAPP_l207779698on_val @ N @ K )
               != none_val )
              | ( ( hAPP_l207779698on_val @ M_1 @ K )
               != ( hAPP_val_option_val @ some_val @ X_2 ) )
              | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
                = ( hAPP_val_option_val @ some_val @ X_2 ) ) )
          & ! [K: $i,X_2: $i] :
              ( ( ( hAPP_l207779698on_val @ N @ K )
               != ( hAPP_val_option_val @ some_val @ X_2 ) )
              | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ M_1 @ N ) @ K )
                = ( hAPP_val_option_val @ some_val @ X_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1876]) ).

thf(2329,plain,
    ( ( ! [R_1: $i] :
          ( ( transi2024712006on_val @ ( transi2024712006on_val @ R_1 ) )
          = ( transi2024712006on_val @ R_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1534]) ).

thf(2330,plain,
    ( ( ! [Pa: $i,Ax: $i,Ay: $i,Bx: $i,By: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Ax ) @ Ay ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Bx ) @ By ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ Bx ) @ By ) )
          | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK8_A_1 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) @ ( sK9_SY1134 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) @ ( sK11_SY1139 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) ) ) @ R_1 ) )
            & ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) @ ( sK11_SY1139 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Bx ) @ By ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
            & ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ ( sK10_SY1137 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) @ ( sK11_SY1139 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) )
            & ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ ( sK8_A_1 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) @ ( sK9_SY1134 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ Ax ) @ Ay ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1875]) ).

thf(2331,plain,
    ( ( ! [Pa: $i,Ax: $i,Ay: $i,Bx: $i,By: $i,R_1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Ax ) @ Ay ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Bx ) @ By ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
          | ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ Ax ) @ Ay ) )
          | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Ax ) @ Ay ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) @ ( sK5_SY1128 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) ) ) @ ( transi2024712006on_val @ R_1 ) ) )
            & ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) @ ( sK5_SY1128 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY1131 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) @ ( sK7_SY1133 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) ) ) @ R_1 ) )
            & ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ ( sK4_A_1 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) @ ( sK5_SY1128 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) )
            & ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ ( sK6_SY1131 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) @ ( sK7_SY1133 @ R_1 @ By @ Bx @ Ay @ Ax @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ Pa @ Bx ) @ By ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1874]) ).

thf(2332,plain,
    ( ( ! [X_2: $i,F_1: $i,G: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ F_1 ) @ G ) )
          | ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ F_1 @ X_2 ) ) @ ( hAPP_list_char_bool @ G @ X_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1873]) ).

thf(2333,plain,
    ( ( ! [X_2: $i,F_1: $i,G: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ F_1 ) @ G ) )
          | ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ F_1 @ X_2 ) ) @ ( hAPP_list_char_bool @ G @ X_2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1872]) ).

thf(2334,plain,
    ( ( ! [F_1: $i,G: $i] :
          ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ F_1 @ ( sK3_X_1 @ G @ F_1 ) ) ) @ ( hAPP_list_char_bool @ G @ ( sK3_X_1 @ G @ F_1 ) ) ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ F_1 ) @ G ) ) )
      & ! [F_1: $i,G: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ F_1 ) @ G ) )
          | ! [X_1: $i] : ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ F_1 @ X_1 ) ) @ ( hAPP_list_char_bool @ G @ X_1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1871]) ).

thf(2335,plain,
    ( ( ! [Pa: $i] :
          ( ~ ( hBOOL @ ( wf_pro755087577t_char @ wf_J_mdecl @ Pa ) )
          | ( hBOOL @ ( wf_pro755087577t_char @ wwf_J_mdecl @ Pa ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1870]) ).

thf(2336,plain,
    ( ( ! [F_1: $i,G: $i] :
          ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ F_1 @ ( sK2_X_1 @ G @ F_1 ) ) ) @ ( hAPP_list_char_bool @ G @ ( sK2_X_1 @ G @ F_1 ) ) ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ F_1 ) @ G ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1869]) ).

thf(2337,plain,
    ( ( ! [A_2: $i] :
          ( ( semila919158006r_bool @ A_2 @ A_2 )
          = A_2 ) )
    = $true ),
    inference(copy,[status(thm)],[1526]) ).

thf(2338,plain,
    ( ( ! [A_2: $i,B_1: $i] :
          ( ( semila919158006r_bool @ A_2 @ B_1 )
          = ( semila919158006r_bool @ B_1 @ A_2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1525]) ).

thf(2339,plain,
    ( ( ! [E_1_1: $i,E_2: $i] :
          ( ( fv @ ( seq_list_char @ E_1_1 @ E_2 ) )
          = ( semila919158006r_bool @ ( fv @ E_1_1 ) @ ( fv @ E_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1524]) ).

thf(2340,plain,
    ( ( ! [E_1_1: $i,F: $i,D: $i,E_2: $i] :
          ( ( fv @ ( fAss_list_char @ E_1_1 @ F @ D @ E_2 ) )
          = ( semila919158006r_bool @ ( fv @ E_1_1 ) @ ( fv @ E_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1523]) ).

thf(2341,plain,
    ( ( ! [Eb: $i] :
          ( ( fv @ ( throw_list_char @ Eb ) )
          = ( fv @ Eb ) ) )
    = $true ),
    inference(copy,[status(thm)],[1522]) ).

thf(2342,plain,
    ( ( ! [Eb: $i,F: $i,D: $i] :
          ( ( fv @ ( fAcc_list_char @ Eb @ F @ D ) )
          = ( fv @ Eb ) ) )
    = $true ),
    inference(copy,[status(thm)],[1521]) ).

thf(2343,plain,
    ( ( ! [F: $i,D: $i,Eb: $i,S: $i,A: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1868]) ).

thf(2344,plain,
    ( ( ! [Va_1: $i,Eb: $i,S: $i,A: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1867]) ).

thf(2345,plain,
    ( ( ! [E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1866]) ).

thf(2346,plain,
    ( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1865]) ).

thf(2347,plain,
    ( ( ! [Ta: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i,T_r: $i] :
          ( ~ ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ T_r ) )
          | ~ ( hBOOL @ ( is_refT @ T_r ) )
          | ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ ( throw_list_char @ Eb ) @ Ta ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1864]) ).

thf(2348,plain,
    ( ( ! [E_1_1: $i,Bop: $i,E_2: $i] :
          ( ( fv @ ( binOp_list_char @ E_1_1 @ Bop @ E_2 ) )
          = ( semila919158006r_bool @ ( fv @ E_1_1 ) @ ( fv @ E_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1515]) ).

thf(2349,plain,
    ( ( ! [Bop: $i,E_2: $i,Eb: $i,S: $i,E_b: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1863]) ).

thf(2350,plain,
    ( ( ! [Pa: $i,Hb: $i,Ea: $i,Eb: $i] :
          ( ! [Ta: $i] :
              ~ ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ ( throw_list_char @ Eb ) @ Ta ) )
          | ( ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ ( sK1_T_r_1 @ Eb @ Ea @ Hb @ Pa ) ) )
            & ( hBOOL @ ( is_refT @ ( sK1_T_r_1 @ Eb @ Ea @ Hb @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1862]) ).

thf(2351,plain,
    ( ( ! [C: $i,Eb: $i] :
          ( ( fv @ ( cast_list_char @ C @ Eb ) )
          = ( fv @ Eb ) ) )
    = $true ),
    inference(copy,[status(thm)],[1512]) ).

thf(2352,plain,
    ( ( ! [C: $i,Eb: $i,S: $i,A: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1861]) ).

thf(2353,plain,
    ( ( ! [Ta: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i,T_r: $i] :
          ( ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ T_r ) )
          | ~ ( hBOOL @ ( is_refT @ T_r ) )
          | ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( throw_list_char @ Eb ) @ Ta ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1860]) ).

thf(2354,plain,
    ( ( ! [Nat: $i,Bool_1: $i] :
          ( ( addr @ Nat )
         != ( bool @ Bool_1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[1859]) ).

thf(2355,plain,
    ( ( ! [Bool_1: $i,Nat: $i] :
          ( ( bool @ Bool_1 )
         != ( addr @ Nat ) ) )
    = $true ),
    inference(copy,[status(thm)],[1858]) ).

thf(2356,plain,
    ( ( ! [Bool: $i] :
          ( unit
         != ( bool @ Bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[1857]) ).

thf(2357,plain,
    ( ( ! [Bool: $i] :
          ( ( bool @ Bool )
         != unit ) )
    = $true ),
    inference(copy,[status(thm)],[1856]) ).

thf(2358,plain,
    ( ( ! [Bool: $i] :
          ( null
         != ( bool @ Bool ) ) )
    = $true ),
    inference(copy,[status(thm)],[1855]) ).

thf(2359,plain,
    ( ( ! [Bool: $i] :
          ( ( bool @ Bool )
         != null ) )
    = $true ),
    inference(copy,[status(thm)],[1854]) ).

thf(2360,plain,
    ( ( ! [C_2: $i,B: $i,S: $i,Eb: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( while_list_char @ B @ C_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1853]) ).

thf(2361,plain,
    ( ( ! [B: $i,E_1_1: $i,E_2: $i] :
          ( ( fv @ ( cond_list_char @ B @ E_1_1 @ E_2 ) )
          = ( semila919158006r_bool @ ( semila919158006r_bool @ ( fv @ B ) @ ( fv @ E_1_1 ) ) @ ( fv @ E_2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1502]) ).

thf(2362,plain,
    ( ( ! [E_1_1: $i,E_2: $i,Eb: $i,S: $i,A: $i,S_2: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ Eb @ E_1_1 @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_2 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1852]) ).

thf(2363,plain,
    ( ( ! [F: $i,D: $i,Ta: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i] :
          ( ~ ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ nt ) )
          | ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ ( fAcc_list_char @ Eb @ F @ D ) @ Ta ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1851]) ).

thf(2364,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)],[1850]) ).

thf(2365,plain,
    ( ( ! [M: $i,Esa: $i,Eb: $i,S0: $i,A: $i,S_1: $i,Pa: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_1 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ Eb @ M @ Esa ) ) @ S0 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ A ) ) @ S_1 ) ) ) @ ( transi2024712006on_val @ ( red @ Pa ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1849]) ).

thf(2366,plain,
    ( ( ! [M: $i,Ta: $i,Esa: $i,Ts: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i] :
          ( ~ ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ Eb @ nt ) )
          | ~ ( hBOOL @ ( wTrts_1 @ Pa @ Hb @ Ea @ Esa @ Ts ) )
          | ( hBOOL @ ( wTrt_1 @ Pa @ Hb @ Ea @ ( call_list_char @ Eb @ M @ Esa ) @ Ta ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1848]) ).

thf(2367,plain,
    ( ( ! [M: $i,Ta: $i,Esa: $i,Ts: $i,Pa: $i,Hb: $i,Ea: $i,Eb: $i] :
          ( ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ Eb @ nt ) )
          | ~ ( hBOOL @ ( wTrts @ Pa @ Hb @ Ea @ Esa @ Ts ) )
          | ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( call_list_char @ Eb @ M @ Esa ) @ Ta ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1847]) ).

thf(2368,plain,
    ( ( ! [P: $i] :
          ( ~ ( is_bool @ P )
          | ( P = fTrue )
          | ( P = fFalse ) ) )
    = $true ),
    inference(copy,[status(thm)],[1846]) ).

thf(2369,plain,
    ( ( ! [P: $i] :
          ( ~ ( is_bool @ P )
          | ( P = fTrue )
          | ( P = fFalse ) ) )
    = $true ),
    inference(copy,[status(thm)],[1845]) ).

thf(2370,plain,
    ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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)],[1844]) ).

thf(2371,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) @ ( transi2024712006on_val @ SX3 ) ) )
          | ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX2 ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK13_Y_1 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK14_SY1140 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) @ SX3 ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_SY1140 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ SX2 ) ) @ ( transi2024712006on_val @ SX3 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK14_SY1140 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK13_Y_1 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2124]) ).

thf(2372,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) )
                | ( SX1 != SX0 )
                | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) )
                | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) )
                | ( SX1 = SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2119]) ).

thf(2373,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( sK69_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 @ ( sK67_A_1 @ SX0 ) ) @ ( sK68_SY1167 @ SX0 ) ) ) )
                | ! [SX1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2039]) ).

thf(2374,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)],[2042]) ).

thf(2375,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SX0 ) @ SX1 ) )
                | ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) )
                | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SX0 ) @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2068]) ).

thf(2376,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX0 ) @ SX1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) ) ) @ ( transi2024712006on_val @ SX4 ) ) )
          | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX0 ) @ SX1 )
            = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX0 ) @ SX1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK21_SY1142 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) @ SX4 ) )
              | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK21_SY1142 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) ) ) @ ( transi2024712006on_val @ SX4 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2107]) ).

thf(2377,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ! [SX4: $i] :
              ~ ( hBOOL @ ( wTrt_1 @ SX0 @ SX1 @ SX2 @ ( throw_list_char @ SX3 ) @ SX4 ) )
          | ~ ( ~ ( hBOOL @ ( wTrt_1 @ SX0 @ SX1 @ SX2 @ SX3 @ ( sK1_T_r_1 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
              | ~ ( hBOOL @ ( is_refT @ ( sK1_T_r_1 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2350]) ).

thf(2378,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) )
                | ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK33_A_1 @ SX0 ) ) @ ( sK34_SY1145 @ 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 @ ( sK32_X1 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2061]) ).

thf(2379,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)],[2077]) ).

thf(2380,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)],[2026]) ).

thf(2381,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SX1 @ SX2 ) )
                  | ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SX0 @ SX1 ) @ SX2 ) ) )
            | ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SX0 @ SX2 ) )
                  | ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SX0 @ SX1 ) @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2128]) ).

thf(2382,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( sK22_X_1 @ SX1 @ SX0 ) ) @ SX1 ) )
              | ~ ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( sK22_X_1 @ SX1 @ SX0 ) ) @ SX0 ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2106]) ).

thf(2383,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 != SX1 )
                | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 != SX1 )
                | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2102]) ).

thf(2384,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX0 ) @ SX1 ) ) @ ( transi2024712006on_val @ SX2 ) ) )
          | ( SX0 = SX1 )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX0 ) @ ( sK15_Y_1 @ SX2 @ SX1 @ SX0 ) ) ) @ SX2 ) )
              | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK15_Y_1 @ SX2 @ SX1 @ SX0 ) ) @ SX1 ) ) @ ( transi2024712006on_val @ SX2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2123]) ).

thf(2385,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( sK63_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 @ ( sK61_A_1 @ SX0 ) ) @ ( sK62_SY1165 @ SX0 ) ) ) )
                | ! [SX1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2041]) ).

thf(2386,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)],[2037]) ).

thf(2387,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)],[2318]) ).

thf(2388,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) )
                | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) )
                | ( SX0 = SX1 ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ( SX0 != SX1 )
                      | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ( SX0 != SX1 )
                      | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2121]) ).

thf(2389,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX0 ) @ SX1 ) ) @ ( transi2024712006on_val @ SX2 ) ) )
          | ( SX0 = SX1 )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX0 ) @ ( sK16_Y_1 @ SX2 @ SX1 @ SX0 ) ) ) @ ( transi2024712006on_val @ SX2 ) ) )
              | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_Y_1 @ SX2 @ SX1 @ SX0 ) ) @ SX1 ) ) @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2122]) ).

thf(2390,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX3 ) @ SX4 ) ) ) @ ( transi2024712006on_val @ SX5 ) ) )
          | ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SX0 @ SX3 ) @ SX4 ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK8_A_1 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK9_SY1134 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK11_SY1139 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) @ SX5 ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK11_SY1139 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX3 ) @ SX4 ) ) ) @ ( transi2024712006on_val @ SX5 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SX0 @ ( sK10_SY1137 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK11_SY1139 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SX0 @ ( sK8_A_1 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK9_SY1134 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SX0 @ SX1 ) @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2330]) ).

thf(2391,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)],[2038]) ).

thf(2392,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)],[2317]) ).

thf(2393,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)],[2025]) ).

thf(2394,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)],[2154]) ).

thf(2395,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)],[2033]) ).

thf(2396,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ! [SX2: $i,SX3: $i] :
                  ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SX0 @ SX1 ) @ SX2 )
                   != ( hAPP_val_option_val @ some_val @ SX3 ) )
                  | ( ( hAPP_l207779698on_val @ SX1 @ SX2 )
                    = none_val )
                  | ( ( hAPP_l207779698on_val @ SX1 @ SX2 )
                    = ( hAPP_val_option_val @ some_val @ SX3 ) ) )
            | ~ ! [SX2: $i,SX3: $i] :
                  ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SX0 @ SX1 ) @ SX2 )
                   != ( hAPP_val_option_val @ some_val @ SX3 ) )
                  | ( ( hAPP_l207779698on_val @ SX0 @ SX2 )
                    = ( hAPP_val_option_val @ some_val @ SX3 ) )
                  | ( ( hAPP_l207779698on_val @ SX1 @ SX2 )
                    = ( hAPP_val_option_val @ some_val @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2327]) ).

thf(2397,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)],[2305]) ).

thf(2398,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)],[2034]) ).

thf(2399,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( SX0
                  = ( hAPP_val_option_val @ some_val @ ( sK25_Y_1 @ SX0 ) ) )
                | ( SX0 = none_val ) )
          | ~ ! [SX0: $i] :
                ( ( SX0 != none_val )
                | ! [SX1: $i] :
                    ( SX0
                   != ( hAPP_val_option_val @ some_val @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2080]) ).

thf(2400,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)],[2309]) ).

thf(2401,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SX1 @ SX0 ) ) @ ( sK48_SY1152 @ SX1 @ SX0 ) ) ) @ SX1 ) )
                        | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SX1 @ SX0 ) ) @ ( sK48_SY1152 @ SX1 @ SX0 ) ) ) @ SX0 ) ) )
                    | ~ ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SX1 @ SX0 ) ) @ ( sK48_SY1152 @ SX1 @ SX0 ) ) ) @ SX1 ) )
                        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SX1 @ SX0 ) ) @ ( sK48_SY1152 @ SX1 @ SX0 ) ) ) @ SX0 ) ) ) )
                | ( SX1 = SX0 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( SX1 != SX0 )
                | ~ ( ~ ! [SX2: $i,SX3: $i] :
                          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) ) @ SX1 ) )
                          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) ) @ SX0 ) ) )
                    | ~ ! [SX2: $i,SX3: $i] :
                          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) ) @ SX0 ) )
                          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) ) @ SX1 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2054]) ).

thf(2402,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)],[2312]) ).

thf(2403,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SX1 ) @ SX2 ) )
                  | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SX1 ) @ ( semila751111325l_bool @ SX0 @ SX2 ) ) ) )
            | ~ ! [SX1: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SX1 ) @ SX0 ) )
                  | ! [SX2: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SX1 ) @ ( semila751111325l_bool @ SX0 @ SX2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2126]) ).

thf(2404,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) )
                | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) )
                | ( SX0 = SX1 ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ( SX0 != SX1 )
                      | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ( SX0 != SX1 )
                      | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2095]) ).

thf(2405,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ( SX0 = none_val )
                | ( SX0
                  = ( hAPP_val_option_val @ some_val @ ( sK24_Y_1 @ SX0 ) ) ) )
          | ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ( SX0
                   != ( hAPP_val_option_val @ some_val @ SX1 ) )
                | ( SX0 != none_val ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2081]) ).

thf(2406,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)],[2046]) ).

thf(2407,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ( ( hAPP_l207779698on_val @ SX1 @ SX2 )
                   != none_val )
                  | ( ( hAPP_l207779698on_val @ SX0 @ SX2 )
                   != none_val )
                  | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SX0 @ SX1 ) @ SX2 )
                    = none_val ) )
            | ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
                        ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SX0 @ SX1 ) @ SX2 )
                         != none_val )
                        | ( ( hAPP_l207779698on_val @ SX1 @ SX2 )
                          = none_val ) )
                  | ~ ! [SX1: $i,SX2: $i] :
                        ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SX0 @ SX1 ) @ SX2 )
                         != none_val )
                        | ( ( hAPP_l207779698on_val @ SX0 @ SX2 )
                          = none_val ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2325]) ).

thf(2408,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) @ ( transi2024712006on_val @ SX3 ) ) )
          | ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ ( sK17_Y_1 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) @ ( transi2024712006on_val @ SX3 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK17_Y_1 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK18_SY1141 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) @ SX3 ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK17_Y_1 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK18_SY1141 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2110]) ).

thf(2409,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)],[2049]) ).

thf(2410,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK66_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 @ ( sK64_A_1 @ SX0 ) ) @ ( sK65_SY1166 @ SX0 ) ) ) )
                | ! [SX1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2040]) ).

thf(2411,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)],[2035]) ).

thf(2412,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX3 ) @ SX4 ) ) ) @ ( transi2024712006on_val @ SX5 ) ) )
          | ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SX0 @ SX1 ) @ SX2 ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK5_SY1128 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) @ ( transi2024712006on_val @ SX5 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK5_SY1128 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY1131 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK7_SY1133 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) @ SX5 ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SX0 @ ( sK4_A_1 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK5_SY1128 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SX0 @ ( sK6_SY1131 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) @ ( sK7_SY1133 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SX0 @ SX3 ) @ SX4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2331]) ).

thf(2413,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) )
                | ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK30_A_1 @ SX0 ) ) @ ( sK31_SY1144 @ 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 @ ( sK29_X1 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2062]) ).

thf(2414,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)],[2036]) ).

thf(2415,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)],[2065]) ).

thf(2416,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
                        ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SX0 @ SX1 ) @ SX2 )
                         != ( hAPP_val_option_val @ some_val @ SX3 ) )
                        | ( ( hAPP_l207779698on_val @ SX1 @ SX2 )
                          = none_val )
                        | ( ( hAPP_l207779698on_val @ SX1 @ SX2 )
                          = ( hAPP_val_option_val @ some_val @ SX3 ) ) )
                  | ~ ! [SX2: $i,SX3: $i] :
                        ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SX0 @ SX1 ) @ SX2 )
                         != ( hAPP_val_option_val @ some_val @ SX3 ) )
                        | ( ( hAPP_l207779698on_val @ SX0 @ SX2 )
                          = ( hAPP_val_option_val @ some_val @ SX3 ) )
                        | ( ( hAPP_l207779698on_val @ SX1 @ SX2 )
                          = ( hAPP_val_option_val @ some_val @ SX3 ) ) ) )
            | ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
                        ( ( ( hAPP_l207779698on_val @ SX1 @ SX2 )
                         != none_val )
                        | ( ( hAPP_l207779698on_val @ SX0 @ SX2 )
                         != ( hAPP_val_option_val @ some_val @ SX3 ) )
                        | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SX0 @ SX1 ) @ SX2 )
                          = ( hAPP_val_option_val @ some_val @ SX3 ) ) )
                  | ~ ! [SX2: $i,SX3: $i] :
                        ( ( ( hAPP_l207779698on_val @ SX1 @ SX2 )
                         != ( hAPP_val_option_val @ some_val @ SX3 ) )
                        | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SX0 @ SX1 ) @ SX2 )
                          = ( hAPP_val_option_val @ some_val @ SX3 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2328]) ).

thf(2417,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SX0 @ ( sK3_X_1 @ SX1 @ SX0 ) ) ) @ ( hAPP_list_char_bool @ SX1 @ ( sK3_X_1 @ SX1 @ SX0 ) ) ) )
                | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) )
                | ! [SX2: $i] : ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SX0 @ SX2 ) ) @ ( hAPP_list_char_bool @ SX1 @ SX2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2334]) ).

thf(2418,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ~ ( ~ ! [SX3: $i,SX4: $i] :
                  ( ~ ( hBOOL @ ( wTrt @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) )
                  | ( hBOOL @ ( wTrt_1 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) ) )
            | ~ ! [SX3: $i,SX4: $i] :
                  ( ~ ( hBOOL @ ( wTrt_1 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) )
                  | ( hBOOL @ ( wTrt @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2153]) ).

thf(2419,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ~ ( ~ ! [SX3: $i,SX4: $i] :
                  ( ~ ( hBOOL @ ( wTrts @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) )
                  | ( hBOOL @ ( wTrts_1 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) ) )
            | ~ ! [SX3: $i,SX4: $i] :
                  ( ~ ( hBOOL @ ( wTrts_1 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) )
                  | ( hBOOL @ ( wTrts @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2162]) ).

thf(2420,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) )
                | ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK27_A_1 @ SX0 ) ) @ ( sK28_SY1143 @ 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 @ ( sK26_X1 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2063]) ).

thf(2421,plain,
    ! [SV1: $i] :
      ( ( ! [SY1180: $i] : ( is_bool @ ( hAPP_f1453283057l_bool @ SV1 @ SY1180 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2020]) ).

thf(2422,plain,
    ! [SV2: $i] :
      ( ( ! [SY1181: $i] :
            ( ( fun_up1149430426on_val @ SV2 @ SY1181 @ ( hAPP_l207779698on_val @ SV2 @ SY1181 ) )
            = SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2023]) ).

thf(2423,plain,
    ! [SV3: $i] :
      ( ( ! [SY1182: $i,SY1183: $i] :
            ( ( ( hAPP_l207779698on_val @ SV3 @ SY1182 )
             != ( hAPP_val_option_val @ some_val @ SY1183 ) )
            | ( ( fun_up1149430426on_val @ SV3 @ SY1182 @ ( hAPP_val_option_val @ some_val @ SY1183 ) )
              = SV3 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2027]) ).

thf(2424,plain,
    ! [SV4: $i] :
      ( ( ! [SY1184: $i,SY1185: $i] :
            ( ( ( hAPP_P2094403585on_val @ SV4 @ SY1184 )
             != ( hAPP_val_option_val @ some_val @ SY1185 ) )
            | ( ( fun_up204312361on_val @ SV4 @ SY1184 @ ( hAPP_val_option_val @ some_val @ SY1185 ) )
              = SV4 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2028]) ).

thf(2425,plain,
    ! [SV5: $i] :
      ( ( ! [SY1186: $i,SY1187: $i,SY1188: $i,SY1189: $i] :
            ( ( ( fun_up1149430426on_val @ SV5 @ SY1186 @ ( hAPP_val_option_val @ some_val @ SY1187 ) )
             != ( fun_up1149430426on_val @ SY1188 @ SY1186 @ ( hAPP_val_option_val @ some_val @ SY1189 ) ) )
            | ( SY1187 = SY1189 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2029]) ).

thf(2426,plain,
    ! [SV6: $i] :
      ( ( ! [SY1190: $i,SY1191: $i,SY1192: $i,SY1193: $i] :
            ( ( ( fun_up204312361on_val @ SV6 @ SY1190 @ ( hAPP_val_option_val @ some_val @ SY1191 ) )
             != ( fun_up204312361on_val @ SY1192 @ SY1190 @ ( hAPP_val_option_val @ some_val @ SY1193 ) ) )
            | ( SY1191 = SY1193 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2030]) ).

thf(2427,plain,
    ! [SV7: $i] :
      ( ( ! [SY1194: $i] :
            ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SY1194 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK74_A_1 @ SY1194 @ SV7 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK75_SY1174 @ SY1194 @ SV7 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK76_SY1177 @ SY1194 @ SV7 ) ) @ ( sK77_SY1179 @ SY1194 @ SV7 ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_P282169671l_bool @ SY1194 @ SV7 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2031]) ).

thf(2428,plain,
    ! [SV8: $i] :
      ( ( SV8
        = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK70_A_1 @ SV8 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK71_SY1168 @ SV8 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK72_SY1171 @ SV8 ) ) @ ( sK73_SY1173 @ SV8 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2032]) ).

thf(2429,plain,
    ! [SV9: $i] :
      ( ( ! [SY1195: $i,SY1196: $i] :
            ( ( ( hAPP_l207779698on_val @ SV9 @ SY1195 )
             != SY1196 )
            | ( ( fun_up1149430426on_val @ SV9 @ SY1195 @ SY1196 )
              = SV9 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2043]) ).

thf(2430,plain,
    ! [SV10: $i] :
      ( ( ! [SY1197: $i,SY1198: $i,SY1199: $i] :
            ( ( SY1198 = SY1199 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV10 @ SY1199 @ SY1197 ) @ SY1198 )
              = ( hAPP_l207779698on_val @ SV10 @ SY1198 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2044]) ).

thf(2431,plain,
    ! [SV11: $i] :
      ( ( ! [SY1200: $i,SY1201: $i,SY1202: $i,SY1203: $i] :
            ( ( SY1202 = SY1203 )
            | ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SY1202 @ SY1200 ) @ SY1203 @ SY1201 )
              = ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SY1203 @ SY1201 ) @ SY1202 @ SY1200 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2045]) ).

thf(2432,plain,
    ! [SV12: $i] :
      ( ( ! [SY1204: $i,SY1205: $i] :
            ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV12 @ SY1204 @ SY1205 ) @ SY1204 )
            = SY1205 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2047]) ).

thf(2433,plain,
    ! [SV13: $i] :
      ( ( ! [SY1206: $i,SY1207: $i,SY1208: $i] :
            ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV13 @ SY1206 @ SY1207 ) @ SY1206 @ SY1208 )
            = ( fun_up1149430426on_val @ SV13 @ SY1206 @ SY1208 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2048]) ).

thf(2434,plain,
    ! [SV14: $i] :
      ( ( SV14
        = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK58_A_1 @ SV14 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK59_SY1162 @ SV14 ) ) @ ( sK60_SY1164 @ SV14 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2050]) ).

thf(2435,plain,
    ! [SV15: $i] :
      ( ( SV15
        = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK55_A_1 @ SV15 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK56_SY1159 @ SV15 ) ) @ ( sK57_SY1161 @ SV15 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2051]) ).

thf(2436,plain,
    ! [SV16: $i] :
      ( ( ! [SY1209: $i] :
            ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SY1209 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK52_A_1 @ SY1209 @ SV16 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK53_SY1156 @ SY1209 @ SV16 ) ) @ ( sK54_SY1158 @ SY1209 @ SV16 ) ) ) ) )
            | ( hBOOL @ ( hAPP_P282169671l_bool @ SY1209 @ SV16 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2052]) ).

thf(2437,plain,
    ! [SV17: $i] :
      ( ( ! [SY1210: $i] :
            ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SY1210 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK49_A_1 @ SY1210 @ SV17 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK50_SY1153 @ SY1210 @ SV17 ) ) @ ( sK51_SY1155 @ SY1210 @ SV17 ) ) ) ) )
            | ( hBOOL @ ( hAPP_P1708370145l_bool @ SY1210 @ SV17 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2053]) ).

thf(2438,plain,
    ! [SV18: $i] :
      ( ( SV18
        = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK45_A_1 @ SV18 ) ) @ ( sK46_SY1151 @ SV18 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2055]) ).

thf(2439,plain,
    ! [SV19: $i] :
      ( ( SV19
        = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK43_A_1 @ SV19 ) ) @ ( sK44_SY1150 @ SV19 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2056]) ).

thf(2440,plain,
    ! [SV20: $i] :
      ( ( SV20
        = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK41_A_1 @ SV20 ) ) @ ( sK42_SY1149 @ SV20 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2057]) ).

thf(2441,plain,
    ! [SV21: $i] :
      ( ( SV21
        = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK39_X_1 @ SV21 ) ) @ ( sK40_SY1148 @ SV21 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2058]) ).

thf(2442,plain,
    ! [SV22: $i] :
      ( ( SV22
        = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK37_X_1 @ SV22 ) ) @ ( sK38_SY1147 @ SV22 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2059]) ).

thf(2443,plain,
    ! [SV23: $i] :
      ( ( SV23
        = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK35_X_1 @ SV23 ) ) @ ( sK36_SY1146 @ SV23 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2060]) ).

thf(2444,plain,
    ! [SV24: $i] :
      ( ( ! [SY1211: $i,SY1212: $i,SY1213: $i,SY1214: $i] :
            ( ! [SY1215: $i,SY1216: $i] :
                ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV24 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1211 ) @ SY1212 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1213 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1214 ) @ SY1215 ) ) ) ) @ ( red @ SY1216 ) ) )
            | ( hBOOL @ ( hext @ SY1211 @ SY1214 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2064]) ).

thf(2445,plain,
    ! [SV25: $i] :
      ( ( ! [SY1217: $i,SY1218: $i,SY1219: $i,SY1220: $i,SY1221: $i,SY1222: $i,SY1223: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1217 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1218 ) @ SY1219 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1220 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1221 ) @ SY1222 ) ) ) ) @ ( red @ SY1223 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1217 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1218 ) @ ( map_ad325961431ar_val @ SV25 @ SY1219 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1220 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1221 ) @ ( map_ad325961431ar_val @ SV25 @ SY1222 ) ) ) ) ) @ ( red @ SY1223 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2066]) ).

thf(2446,plain,
    ! [SV26: $i] :
      ( ( ! [SY1224: $i,SY1225: $i,SY1226: $i] :
            ( ( ( hAPP_l207779698on_val @ SY1224 @ SY1225 )
             != ( hAPP_val_option_val @ some_val @ SY1226 ) )
            | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV26 @ SY1224 ) @ SY1225 )
              = ( hAPP_val_option_val @ some_val @ SY1226 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2067]) ).

thf(2447,plain,
    ! [SV27: $i] :
      ( ( ! [SY1227: $i,SY1228: $i,SY1229: $i,SY1230: $i,SY1231: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1227 ) @ SY1228 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1229 ) @ SY1230 ) ) ) @ ( red @ SY1231 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV27 @ SY1227 ) ) @ SY1228 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV27 @ SY1229 ) ) @ SY1230 ) ) ) @ ( red @ SY1231 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2069]) ).

thf(2448,plain,
    ! [SV28: $i] :
      ( ( ! [SY1232: $i,SY1233: $i,SY1234: $i,SY1235: $i,SY1236: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1232 ) @ SY1233 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1234 ) @ SY1235 ) ) ) @ ( red @ SY1236 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY1232 @ SV28 ) ) @ SY1233 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY1234 @ SV28 ) ) @ SY1235 ) ) ) @ ( red @ SY1236 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2070]) ).

thf(2449,plain,
    ! [SV29: $i] :
      ( ( ! [SY1237: $i,SY1238: $i,SY1239: $i] :
            ( ( map_ad1185064968ar_val @ SV29 @ ( fun_up204312361on_val @ SY1237 @ SY1238 @ ( hAPP_val_option_val @ some_val @ SY1239 ) ) )
            = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ SV29 @ SY1237 ) @ SY1238 @ ( hAPP_val_option_val @ some_val @ SY1239 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2071]) ).

thf(2450,plain,
    ! [SV30: $i] :
      ( ( ! [SY1240: $i,SY1241: $i,SY1242: $i] :
            ( ( map_ad325961431ar_val @ SV30 @ ( fun_up1149430426on_val @ SY1240 @ SY1241 @ ( hAPP_val_option_val @ some_val @ SY1242 ) ) )
            = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ SV30 @ SY1240 ) @ SY1241 @ ( hAPP_val_option_val @ some_val @ SY1242 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2072]) ).

thf(2451,plain,
    ! [SV31: $i] :
      ( ( ! [SY1243: $i,SY1244: $i,SY1245: $i,SY1246: $i,SY1247: $i] :
            ( ! [T_1_1: $i] :
                ~ ( hBOOL @ ( wTrt_1 @ SY1244 @ SY1245 @ SY1246 @ SY1247 @ T_1_1 ) )
            | ~ ( hBOOL @ ( wTrt_1 @ SY1244 @ SY1245 @ SY1246 @ SV31 @ SY1243 ) )
            | ( hBOOL @ ( wTrt_1 @ SY1244 @ SY1245 @ SY1246 @ ( seq_list_char @ SY1247 @ SV31 ) @ SY1243 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2073]) ).

thf(2452,plain,
    ! [SV32: $i] :
      ( ( hBOOL @ ( hext @ SV32 @ SV32 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2074]) ).

thf(2453,plain,
    ! [SV33: $i] :
      ( ( ! [SY1249: $i,SY1250: $i,SY1251: $i,SY1252: $i,SY1253: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SY1249 @ SY1250 @ SY1251 @ SY1252 @ SY1253 ) )
            | ~ ( hBOOL @ ( hext @ SY1250 @ SV33 ) )
            | ( hBOOL @ ( wTrt_1 @ SY1249 @ SV33 @ SY1251 @ SY1252 @ SY1253 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2075]) ).

thf(2454,plain,
    ! [SV34: $i] :
      ( ( ! [SY1254: $i,SY1255: $i] :
            ( ~ ( hBOOL @ ( hext @ SY1254 @ SY1255 ) )
            | ~ ( hBOOL @ ( hext @ SY1255 @ SV34 ) )
            | ( hBOOL @ ( hext @ SY1254 @ SV34 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2076]) ).

thf(2455,plain,
    ! [SV35: $i] :
      ( ( ( none_val
         != ( hAPP_val_option_val @ some_val @ SV35 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2078]) ).

thf(2456,plain,
    ! [SV36: $i] :
      ( ( ( ( hAPP_val_option_val @ some_val @ SV36 )
         != none_val ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2079]) ).

thf(2457,plain,
    ! [SV37: $i] :
      ( ( ! [SY1256: $i,SY1257: $i] :
            ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV37 @ SY1256 @ ( hAPP_val_option_val @ some_val @ SY1257 ) ) @ ( sK23_X_1 @ SY1257 @ SY1256 @ SV37 ) )
           != none_val ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2082]) ).

thf(2458,plain,
    ! [SV38: $i] :
      ( ( ! [SY1258: $i,SY1259: $i,SY1260: $i,SY1261: $i,SY1262: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1258 ) @ SY1259 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1260 ) @ SY1261 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1262 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY1258 @ SV38 ) ) @ SY1259 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY1260 @ SV38 ) ) @ SY1261 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1262 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2083]) ).

thf(2459,plain,
    ! [SV39: $i] :
      ( ( ! [SY1263: $i,SY1264: $i,SY1265: $i,SY1266: $i,SY1267: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1263 ) @ SY1264 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1265 ) @ SY1266 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1267 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV39 @ SY1263 ) ) @ SY1264 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV39 @ SY1265 ) ) @ SY1266 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1267 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2084]) ).

thf(2460,plain,
    ! [SV40: $i] :
      ( ( ! [SY1268: $i,SY1269: $i,SY1270: $i,SY1271: $i,SY1272: $i,SY1273: $i,SY1274: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1268 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1269 ) @ SY1270 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1271 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1272 ) @ SY1273 ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY1274 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1268 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1269 ) @ ( map_ad325961431ar_val @ SV40 @ SY1270 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1271 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1272 ) @ ( map_ad325961431ar_val @ SV40 @ SY1273 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY1274 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2085]) ).

thf(2461,plain,
    ! [SV41: $i] :
      ( ( ! [SY1275: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV41 ) @ SV41 ) ) @ ( transi2024712006on_val @ SY1275 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2086]) ).

thf(2462,plain,
    ! [SV42: $i] :
      ( ( ! [SY1276: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV42 ) @ SY1276 ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV42 ) @ ( transi2024712006on_val @ SY1276 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2087]) ).

thf(2463,plain,
    ! [SV43: $i] :
      ( ( ! [SY1277: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV43 ) @ SY1277 ) )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY1277 ) @ SV43 ) )
            | ( SV43 = SY1277 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2088]) ).

thf(2464,plain,
    ! [SV44: $i] :
      ( ( ! [SY1278: $i,SY1279: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SY1278 ) @ SY1279 ) )
            | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV44 ) @ SY1278 ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV44 ) @ SY1279 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2089]) ).

thf(2465,plain,
    ! [SV45: $i] :
      ( ( ! [SY1280: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV45 ) @ SY1280 ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ ( transi2024712006on_val @ SV45 ) ) @ ( transi2024712006on_val @ SY1280 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2090]) ).

thf(2466,plain,
    ! [SV46: $i] :
      ( ( ! [SY1281: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV46 ) @ SY1281 ) )
            | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SY1281 ) @ ( transi2024712006on_val @ SV46 ) ) )
            | ( ( transi2024712006on_val @ SY1281 )
              = ( transi2024712006on_val @ SV46 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2091]) ).

thf(2467,plain,
    ! [SV47: $i] :
      ( ( ! [SY1282: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV47 ) @ ( transi2024712006on_val @ SY1282 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ ( transi2024712006on_val @ SV47 ) ) @ ( transi2024712006on_val @ SY1282 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2092]) ).

thf(2468,plain,
    ! [SV48: $i] :
      ( ( ( hAPP_option_val_val @ the_val @ ( hAPP_val_option_val @ some_val @ SV48 ) )
        = SV48 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2093]) ).

thf(2469,plain,
    ! [SV49: $i] :
      ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV49 ) @ SV49 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2094]) ).

thf(2470,plain,
    ! [SV50: $i] :
      ( ( ! [SY1283: $i] :
            ( ( SV50 != SY1283 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV50 ) @ SY1283 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2096]) ).

thf(2471,plain,
    ! [SV51: $i] :
      ( ( ! [SY1284: $i] :
            ( ( SV51 != SY1284 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY1284 ) @ SV51 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2097]) ).

thf(2472,plain,
    ! [SV52: $i] :
      ( ( ! [SY1285: $i,SY1286: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SY1285 ) @ SY1286 ) )
            | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV52 ) @ SY1285 ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV52 ) @ SY1286 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2098]) ).

thf(2473,plain,
    ! [SV53: $i] :
      ( ( ! [SY1287: $i,SY1288: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SY1287 ) @ SY1288 ) )
            | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SY1288 ) @ SV53 ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SY1287 ) @ SV53 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2099]) ).

thf(2474,plain,
    ! [SV54: $i] :
      ( ( ! [SY1289: $i,SY1290: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SY1289 ) @ SY1290 ) )
            | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV54 ) @ SY1289 ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV54 ) @ SY1290 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2100]) ).

thf(2475,plain,
    ! [SV55: $i] :
      ( ( ! [SY1291: $i,SY1292: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY1291 ) @ SY1292 ) )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY1292 ) @ SV55 ) )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY1291 ) @ SV55 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2101]) ).

thf(2476,plain,
    ! [SV56: $i] :
      ( ( ! [SY1293: $i,SY1294: $i,SY1295: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1293 ) @ SY1294 ) ) @ SY1295 ) )
            | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1294 ) @ SV56 ) ) @ ( transi2024712006on_val @ SY1295 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1293 ) @ SV56 ) ) @ ( transi2024712006on_val @ SY1295 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2103]) ).

thf(2477,plain,
    ! [SV57: $i] :
      ( ( ! [SY1296: $i,SY1297: $i,SY1298: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1296 ) @ SY1297 ) ) @ ( transi2024712006on_val @ SY1298 ) ) )
            | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1297 ) @ SV57 ) ) @ SY1298 ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1296 ) @ SV57 ) ) @ ( transi2024712006on_val @ SY1298 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2104]) ).

thf(2478,plain,
    ! [SV58: $i] :
      ( ( ! [SY1299: $i,SY1300: $i,SY1301: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1299 ) @ SY1300 ) ) @ ( transi2024712006on_val @ SY1301 ) ) )
            | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1300 ) @ SV58 ) ) @ ( transi2024712006on_val @ SY1301 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1299 ) @ SV58 ) ) @ ( transi2024712006on_val @ SY1301 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2105]) ).

thf(2479,plain,
    ! [SV59: $i] :
      ( ( ( SV59 = none_val )
        | ( SV59
          = ( hAPP_val_option_val @ some_val @ ( sK19_A_1 @ SV59 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2108]) ).

thf(2480,plain,
    ! [SV60: $i] :
      ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV60 ) @ SV60 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2109]) ).

thf(2481,plain,
    ! [SV61: $i] :
      ( ( ! [SY1302: $i,SY1303: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY1302 ) @ SY1303 ) )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV61 ) @ SY1302 ) )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV61 ) @ SY1303 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2111]) ).

thf(2482,plain,
    ! [SV62: $i] :
      ( ( ! [SY1304: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV62 ) @ SY1304 ) )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY1304 ) @ SV62 ) )
            | ( SY1304 = SV62 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2112]) ).

thf(2483,plain,
    ! [SV63: $i] :
      ( ( ! [SY1305: $i,SY1306: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY1305 ) @ SY1306 ) )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY1306 ) @ SV63 ) )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY1305 ) @ SV63 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2113]) ).

thf(2484,plain,
    ! [SV64: $i] :
      ( ( ! [SY1307: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV64 ) @ SY1307 ) )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY1307 ) @ SV64 ) )
            | ( SV64 = SY1307 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2114]) ).

thf(2485,plain,
    ! [SV65: $i] :
      ( ( ! [SY1308: $i,SY1309: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY1308 ) @ SY1309 ) )
            | ( SY1308 != SV65 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV65 ) @ SY1309 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2115]) ).

thf(2486,plain,
    ! [SV66: $i] :
      ( ( ! [SY1310: $i,SY1311: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY1310 ) @ SY1311 ) )
            | ( SY1311 != SV66 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY1310 ) @ SV66 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2116]) ).

thf(2487,plain,
    ! [SV67: $i] :
      ( ( ! [SY1312: $i,SY1313: $i] :
            ( ( SY1312 != SY1313 )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV67 ) @ SY1313 ) )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV67 ) @ SY1312 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2117]) ).

thf(2488,plain,
    ! [SV68: $i] :
      ( ( ! [SY1314: $i,SY1315: $i] :
            ( ( SY1314 != SY1315 )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY1315 ) @ SV68 ) )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY1314 ) @ SV68 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2118]) ).

thf(2489,plain,
    ! [SV69: $i] :
      ( ( ! [SY1316: $i] :
            ( ( SV69 != SY1316 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV69 ) @ SY1316 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2120]) ).

thf(2490,plain,
    ! [SV70: $i] :
      ( ( ! [SY1317: $i,SY1318: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV70 ) @ ( semila751111325l_bool @ SY1317 @ SY1318 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV70 ) @ SY1317 ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV70 ) @ SY1318 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2125]) ).

thf(2491,plain,
    ! [SV71: $i] :
      ( ( ! [SY1319: $i,SY1320: $i] :
            ( ~ ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV71 @ SY1319 ) @ SY1320 ) )
            | ( hBOOL @ ( hAPP_list_char_bool @ SV71 @ SY1320 ) )
            | ( hBOOL @ ( hAPP_list_char_bool @ SY1319 @ SY1320 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2127]) ).

thf(2492,plain,
    ! [SV72: $i] :
      ( ( ! [SY1321: $i,SY1322: $i,SY1323: $i,SY1324: $i,SY1325: $i,SY1326: $i,SY1327: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1323 ) @ SY1324 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1325 ) @ SY1326 ) ) ) @ ( red @ SY1327 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY1323 @ SV72 @ SY1321 @ SY1322 ) ) @ SY1324 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY1325 @ SV72 @ SY1321 @ SY1322 ) ) @ SY1326 ) ) ) @ ( red @ SY1327 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2129]) ).

thf(2493,plain,
    ! [SV73: $i] :
      ( ( ! [SY1328: $i,SY1329: $i,SY1330: $i,SY1331: $i,SY1332: $i,SY1333: $i,SY1334: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1330 ) @ SY1331 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1332 ) @ SY1333 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1334 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY1330 @ SV73 @ SY1328 @ SY1329 ) ) @ SY1331 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY1332 @ SV73 @ SY1328 @ SY1329 ) ) @ SY1333 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1334 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2130]) ).

thf(2494,plain,
    ! [SV74: $i] :
      ( ( ! [SY1335: $i,SY1336: $i,SY1337: $i,SY1338: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ ( throw_list_char @ SV74 ) @ SY1335 @ SY1336 ) ) @ SY1337 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV74 ) ) @ SY1337 ) ) ) @ ( red @ SY1338 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2131]) ).

thf(2495,plain,
    ! [SV75: $i] :
      ( ( ! [SY1339: $i,SY1340: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( throw_list_char @ SV75 ) ) ) @ SY1339 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV75 ) ) @ SY1339 ) ) ) @ ( red @ SY1340 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2132]) ).

thf(2496,plain,
    ! [SV76: $i] :
      ( ( ! [SY1341: $i,SY1342: $i,SY1343: $i,SY1344: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV76 ) @ SY1341 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1342 ) @ SY1343 ) ) ) @ ( red @ SY1344 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV76 ) ) @ SY1341 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1342 ) ) @ SY1343 ) ) ) @ ( red @ SY1344 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2133]) ).

thf(2497,plain,
    ! [SV77: $i] :
      ( ( ! [SY1345: $i,SY1346: $i,SY1347: $i,SY1348: $i,SY1349: $i,SY1350: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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 @ SY1348 ) @ SY1349 ) ) ) @ ( red @ SY1350 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY1346 @ SV77 @ SY1345 ) ) @ SY1347 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY1348 @ SV77 @ SY1345 ) ) @ SY1349 ) ) ) @ ( red @ SY1350 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2134]) ).

thf(2498,plain,
    ! [SV78: $i] :
      ( ( ! [SY1351: $i,SY1352: $i,SY1353: $i,SY1354: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV78 ) @ SY1351 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1352 ) @ SY1353 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1354 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV78 ) ) @ SY1351 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1352 ) ) @ SY1353 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1354 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2135]) ).

thf(2499,plain,
    ! [SV79: $i] :
      ( ( ! [SY1355: $i,SY1356: $i,SY1357: $i,SY1358: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV79 ) @ SY1355 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1356 ) ) @ SY1357 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1358 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV79 ) ) @ SY1355 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1356 ) ) @ SY1357 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1358 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2136]) ).

thf(2500,plain,
    ! [SV80: $i] :
      ( ( ! [SY1359: $i,SY1360: $i,SY1361: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV80 @ ( throw_list_char @ SY1359 ) ) ) @ SY1360 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1359 ) ) @ SY1360 ) ) ) @ ( red @ SY1361 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2137]) ).

thf(2501,plain,
    ! [SV81: $i] :
      ( ( ! [SY1362: $i,SY1363: $i,SY1364: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( throw_list_char @ SV81 ) @ SY1362 ) ) @ SY1363 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV81 ) ) @ SY1363 ) ) ) @ ( red @ SY1364 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2138]) ).

thf(2502,plain,
    ! [SV82: $i] :
      ( ( ! [SY1365: $i,SY1366: $i,SY1367: $i,SY1368: $i,SY1369: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( throw_list_char @ SV82 ) @ SY1365 @ SY1366 @ SY1367 ) ) @ SY1368 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV82 ) ) @ SY1368 ) ) ) @ ( red @ SY1369 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2139]) ).

thf(2503,plain,
    ! [SV83: $i] :
      ( ( ! [SY1370: $i,SY1371: $i,SY1372: $i,SY1373: $i,SY1374: $i,SY1375: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1371 ) @ SY1372 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1373 ) @ SY1374 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1375 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY1371 @ SV83 @ SY1370 ) ) @ SY1372 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY1373 @ SV83 @ SY1370 ) ) @ SY1374 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1375 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2140]) ).

thf(2504,plain,
    ! [SV84: $i] :
      ( ( ! [SY1376: $i,SY1377: $i,SY1378: $i,SY1379: $i,SY1380: $i,SY1381: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1377 ) @ SY1378 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1379 ) @ SY1380 ) ) ) @ ( red @ SY1381 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY1377 @ SV84 @ SY1376 ) ) @ SY1378 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY1379 @ SV84 @ SY1376 ) ) @ SY1380 ) ) ) @ ( red @ SY1381 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2141]) ).

thf(2505,plain,
    ! [SV85: $i] :
      ( ( ! [SY1382: $i,SY1383: $i,SY1384: $i,SY1385: $i,SY1386: $i,SY1387: $i,SY1388: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1384 ) @ SY1385 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1386 ) @ SY1387 ) ) ) @ ( red @ SY1388 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY1384 @ SV85 @ SY1382 @ SY1383 ) ) @ SY1385 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY1386 @ SV85 @ SY1382 @ SY1383 ) ) @ SY1387 ) ) ) @ ( red @ SY1388 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2142]) ).

thf(2506,plain,
    ! [SV86: $i] :
      ( ( ! [SY1389: $i,SY1390: $i,SY1391: $i,SY1392: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( throw_list_char @ SV86 ) @ SY1389 @ SY1390 ) ) @ SY1391 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV86 ) ) @ SY1391 ) ) ) @ ( red @ SY1392 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2143]) ).

thf(2507,plain,
    ! [SV87: $i] :
      ( ( ! [SY1393: $i,SY1394: $i,SY1395: $i,SY1396: $i,SY1397: $i,SY1398: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1394 ) @ SY1395 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1396 ) @ SY1397 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1398 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY1394 @ SV87 @ SY1393 ) ) @ SY1395 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY1396 @ SV87 @ SY1393 ) ) @ SY1397 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1398 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2144]) ).

thf(2508,plain,
    ! [SV88: $i] :
      ( ( ! [SY1399: $i,SY1400: $i,SY1401: $i,SY1402: $i,SY1403: $i,SY1404: $i,SY1405: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1401 ) @ SY1402 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1403 ) @ SY1404 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1405 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY1401 @ SV88 @ SY1399 @ SY1400 ) ) @ SY1402 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY1403 @ SV88 @ SY1399 @ SY1400 ) ) @ SY1404 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1405 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2145]) ).

thf(2509,plain,
    ! [SV89: $i] :
      ( ( ! [SY1406: $i,SY1407: $i,SY1408: $i,SY1409: $i,SY1410: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1406 ) @ SY1407 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1408 ) @ SY1409 ) ) ) @ ( red @ SY1410 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV89 @ SY1406 ) ) @ SY1407 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV89 @ SY1408 ) ) @ SY1409 ) ) ) @ ( red @ SY1410 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2146]) ).

thf(2510,plain,
    ! [SV90: $i] :
      ( ( ! [SY1411: $i,SY1412: $i,SY1413: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV90 @ ( throw_list_char @ SY1411 ) ) ) @ SY1412 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1411 ) ) @ SY1412 ) ) ) @ ( red @ SY1413 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2147]) ).

thf(2511,plain,
    ! [SV91: $i] :
      ( ( ! [SY1414: $i,SY1415: $i,SY1416: $i,SY1417: $i,SY1418: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1414 ) @ SY1415 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1416 ) @ SY1417 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1418 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV91 @ SY1414 ) ) @ SY1415 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV91 @ SY1416 ) ) @ SY1417 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1418 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2148]) ).

thf(2512,plain,
    ! [SV92: $i] :
      ( ( ! [SY1419: $i] :
            ( ~ ( hBOOL @ ( preallocated @ SY1419 ) )
            | ~ ( hBOOL @ ( hext @ SY1419 @ SV92 ) )
            | ( hBOOL @ ( preallocated @ SV92 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2149]) ).

thf(2513,plain,
    ! [SV93: $i] :
      ( ( ! [SY1420: $i,SY1421: $i,SY1422: $i,SY1423: $i,SY1424: $i] :
            ( ! [T_1_1: $i] :
                ~ ( hBOOL @ ( wTrt @ SY1421 @ SY1422 @ SY1423 @ SY1424 @ T_1_1 ) )
            | ~ ( hBOOL @ ( wTrt @ SY1421 @ SY1422 @ SY1423 @ SV93 @ SY1420 ) )
            | ( hBOOL @ ( wTrt @ SY1421 @ SY1422 @ SY1423 @ ( seq_list_char @ SY1424 @ SV93 ) @ SY1420 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2150]) ).

thf(2514,plain,
    ! [SV94: $i] :
      ( ( ! [SY1426: $i,SY1427: $i,SY1428: $i,SY1429: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SV94 @ SY1426 @ SY1427 @ SY1428 @ SY1429 ) )
            | ( hBOOL @ ( wTrt @ SV94 @ SY1426 @ SY1427 @ SY1428 @ SY1429 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2151]) ).

thf(2515,plain,
    ! [SV95: $i] :
      ( ( ! [SY1430: $i,SY1431: $i,SY1432: $i,SY1433: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV95 @ SY1430 @ SY1431 @ SY1432 @ SY1433 ) )
            | ( hBOOL @ ( wTrt_1 @ SV95 @ SY1430 @ SY1431 @ SY1432 @ SY1433 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2152]) ).

thf(2516,plain,
    ! [SV96: $i] :
      ( ( ! [SY1434: $i,SY1435: $i,SY1436: $i,SY1437: $i,SY1438: $i,SY1439: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1435 ) @ SY1436 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1437 ) @ SY1438 ) ) ) @ ( red @ SY1439 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SY1435 @ SV96 @ SY1434 ) ) @ SY1436 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SY1437 @ SV96 @ SY1434 ) ) @ SY1438 ) ) ) @ ( red @ SY1439 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2155]) ).

thf(2517,plain,
    ! [SV97: $i] :
      ( ( ! [SY1440: $i,SY1441: $i,SY1442: $i,SY1443: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ ( throw_list_char @ SV97 ) @ SY1440 @ SY1441 ) ) @ SY1442 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV97 ) ) @ SY1442 ) ) ) @ ( red @ SY1443 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2156]) ).

thf(2518,plain,
    ! [SV98: $i] :
      ( ( ! [SY1444: $i,SY1445: $i,SY1446: $i,SY1447: $i,SY1448: $i,SY1449: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1445 ) @ SY1446 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1447 ) @ SY1448 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1449 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SY1445 @ SV98 @ SY1444 ) ) @ SY1446 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SY1447 @ SV98 @ SY1444 ) ) @ SY1448 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1449 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2157]) ).

thf(2519,plain,
    ! [SV99: $i] :
      ( ( ! [SY1450: $i,SY1451: $i,SY1452: $i,SY1453: $i,SY1454: $i,SY1455: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1451 ) @ SY1452 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1453 ) @ SY1454 ) ) ) @ ( red @ SY1455 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SY1451 @ SV99 @ SY1450 ) ) @ SY1452 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SY1453 @ SV99 @ SY1450 ) ) @ SY1454 ) ) ) @ ( red @ SY1455 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2158]) ).

thf(2520,plain,
    ! [SV100: $i] :
      ( ( ! [SY1456: $i,SY1457: $i,SY1458: $i,SY1459: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ ( throw_list_char @ SV100 ) @ SY1456 @ SY1457 ) ) @ SY1458 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV100 ) ) @ SY1458 ) ) ) @ ( red @ SY1459 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2159]) ).

thf(2521,plain,
    ! [SV101: $i] :
      ( ( ! [SY1460: $i,SY1461: $i,SY1462: $i,SY1463: $i,SY1464: $i,SY1465: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1461 ) @ SY1462 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1463 ) @ SY1464 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1465 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SY1461 @ SV101 @ SY1460 ) ) @ SY1462 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SY1463 @ SV101 @ SY1460 ) ) @ SY1464 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1465 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2160]) ).

thf(2522,plain,
    ! [SV102: $i] :
      ( ( ! [SY1466: $i,SY1467: $i,SY1468: $i,SY1469: $i,SY1470: $i] :
            ( ~ ( hBOOL @ ( wTrts_1 @ SY1466 @ SY1467 @ SY1468 @ SY1469 @ SY1470 ) )
            | ~ ( hBOOL @ ( hext @ SY1467 @ SV102 ) )
            | ( hBOOL @ ( wTrts_1 @ SY1466 @ SV102 @ SY1468 @ SY1469 @ SY1470 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2161]) ).

thf(2523,plain,
    ! [SV103: $i] :
      ( ( ! [SY1471: $i,SY1472: $i,SY1473: $i,SY1474: $i] :
            ( ~ ( hBOOL @ ( wTrts @ SV103 @ SY1471 @ SY1472 @ SY1473 @ SY1474 ) )
            | ( hBOOL @ ( wTrts_1 @ SV103 @ SY1471 @ SY1472 @ SY1473 @ SY1474 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2163]) ).

thf(2524,plain,
    ! [SV104: $i] :
      ( ( ! [SY1475: $i,SY1476: $i,SY1477: $i,SY1478: $i] :
            ( ~ ( hBOOL @ ( wTrts_1 @ SV104 @ SY1475 @ SY1476 @ SY1477 @ SY1478 ) )
            | ( hBOOL @ ( wTrts @ SV104 @ SY1475 @ SY1476 @ SY1477 @ SY1478 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2164]) ).

thf(2525,plain,
    ! [SV105: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ fNot @ SV105 ) )
        | ~ ( hBOOL @ SV105 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2165]) ).

thf(2526,plain,
    ! [SV106: $i] :
      ( ( ( hBOOL @ SV106 )
        | ( hBOOL @ ( hAPP_bool_bool @ fNot @ SV106 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2166]) ).

thf(2527,plain,
    ( ( hBOOL @ fFalse )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2168]) ).

thf(2528,plain,
    ! [SV107: $i] :
      ( ( is_bool @ ( final_list_char @ SV107 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2169]) ).

thf(2529,plain,
    ! [SV108: $i] :
      ( ( is_bool @ ( finals_list_char @ SV108 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2170]) ).

thf(2530,plain,
    ! [SV109: $i] :
      ( ( ! [SY1479: $i,SY1480: $i,SY1481: $i] : ( is_bool @ ( conf_P373316194t_char @ SV109 @ SY1479 @ SY1480 @ SY1481 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2171]) ).

thf(2531,plain,
    ! [SV110: $i] :
      ( ( ! [SY1482: $i] : ( is_bool @ ( d_list_char @ SV110 @ SY1482 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2172]) ).

thf(2532,plain,
    ! [SV111: $i] :
      ( ( is_bool @ ( preallocated @ SV111 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2173]) ).

thf(2533,plain,
    ! [SV112: $i] :
      ( ( is_bool @ ( distinct_list_char @ SV112 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2174]) ).

thf(2534,plain,
    ! [SV113: $i] :
      ( ( ! [SY1483: $i,SY1484: $i] : ( is_bool @ ( list_all2_ty_ty @ SV113 @ SY1483 @ SY1484 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2175]) ).

thf(2535,plain,
    ! [SV114: $i] :
      ( ( ! [SY1485: $i] : ( is_bool @ ( hext @ SV114 @ SY1485 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2176]) ).

thf(2536,plain,
    ! [SV115: $i] :
      ( ( ! [SY1486: $i,SY1487: $i,SY1488: $i,SY1489: $i] : ( is_bool @ ( wTrt @ SV115 @ SY1486 @ SY1487 @ SY1488 @ SY1489 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2177]) ).

thf(2537,plain,
    ! [SV116: $i] :
      ( ( ! [SY1490: $i,SY1491: $i,SY1492: $i,SY1493: $i] : ( is_bool @ ( wTrts @ SV116 @ SY1490 @ SY1491 @ SY1492 @ SY1493 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2178]) ).

thf(2538,plain,
    ! [SV117: $i] :
      ( ( ! [SY1494: $i] : ( is_bool @ ( assigned @ SV117 @ SY1494 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2179]) ).

thf(2539,plain,
    ! [SV118: $i] :
      ( ( ! [SY1495: $i,SY1496: $i] : ( is_bool @ ( fields1147507508t_char @ SV118 @ SY1495 @ SY1496 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2180]) ).

thf(2540,plain,
    ! [SV119: $i] :
      ( ( is_bool @ ( is_refT @ SV119 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2181]) ).

thf(2541,plain,
    ! [SV120: $i] :
      ( ( ! [SY1497: $i] : ( is_bool @ ( wf_pro755087577t_char @ SV120 @ SY1497 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2182]) ).

thf(2542,plain,
    ! [SV121: $i] :
      ( ( ! [SY1498: $i,SY1499: $i,SY1500: $i,SY1501: $i] : ( is_bool @ ( wTrt_1 @ SV121 @ SY1498 @ SY1499 @ SY1500 @ SY1501 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2183]) ).

thf(2543,plain,
    ! [SV122: $i] :
      ( ( ! [SY1502: $i,SY1503: $i,SY1504: $i,SY1505: $i] : ( is_bool @ ( wTrts_1 @ SV122 @ SY1502 @ SY1503 @ SY1504 @ SY1505 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2184]) ).

thf(2544,plain,
    ! [SV123: $i] :
      ( ( ! [SY1506: $i] : ( is_bool @ ( hAPP_e544220455r_bool @ SV123 @ SY1506 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2187]) ).

thf(2545,plain,
    ! [SV124: $i] :
      ( ( ! [SY1507: $i] :
            ( ~ ( is_bool @ SY1507 )
            | ( is_bool @ ( hAPP_bool_bool @ SV124 @ SY1507 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2188]) ).

thf(2546,plain,
    ! [SV125: $i] :
      ( ( ! [SY1508: $i] : ( is_bool @ ( hAPP_list_char_bool @ SV125 @ SY1508 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2189]) ).

thf(2547,plain,
    ! [SV126: $i] :
      ( ( ! [SY1509: $i] : ( is_bool @ ( hAPP_l902158906r_bool @ SV126 @ SY1509 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2190]) ).

thf(2548,plain,
    ! [SV127: $i] :
      ( ( ! [SY1510: $i] : ( is_bool @ ( hAPP_nat_bool @ SV127 @ SY1510 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2191]) ).

thf(2549,plain,
    ! [SV128: $i] :
      ( ( ! [SY1511: $i] : ( is_bool @ ( hAPP_option_ty_bool @ SV128 @ SY1511 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2192]) ).

thf(2550,plain,
    ! [SV129: $i] :
      ( ( ! [SY1512: $i] : ( is_bool @ ( hAPP_option_val_bool @ SV129 @ SY1512 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2193]) ).

thf(2551,plain,
    ! [SV130: $i] :
      ( ( ! [SY1513: $i] : ( is_bool @ ( hAPP_o2007402111l_bool @ SV130 @ SY1513 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2194]) ).

thf(2552,plain,
    ! [SV131: $i] :
      ( ( ! [SY1514: $i] : ( is_bool @ ( hAPP_ty_bool @ SV131 @ SY1514 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2195]) ).

thf(2553,plain,
    ! [SV132: $i] :
      ( ( ! [SY1515: $i] : ( is_bool @ ( hAPP_val_bool @ SV132 @ SY1515 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2196]) ).

thf(2554,plain,
    ! [SV133: $i] :
      ( ( ! [SY1516: $i] : ( is_bool @ ( hAPP_f1776070952l_bool @ SV133 @ SY1516 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2197]) ).

thf(2555,plain,
    ! [SV134: $i] :
      ( ( ! [SY1517: $i] : ( is_bool @ ( hAPP_f570766339l_bool @ SV134 @ SY1517 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2198]) ).

thf(2556,plain,
    ! [SV135: $i] :
      ( ( ! [SY1518: $i] : ( is_bool @ ( hAPP_f2041029616l_bool @ SV135 @ SY1518 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2199]) ).

thf(2557,plain,
    ! [SV136: $i] :
      ( ( ! [SY1519: $i] : ( is_bool @ ( hAPP_f539072365l_bool @ SV136 @ SY1519 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2200]) ).

thf(2558,plain,
    ! [SV137: $i] :
      ( ( ! [SY1520: $i] : ( is_bool @ ( hAPP_f998390560l_bool @ SV137 @ SY1520 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2201]) ).

thf(2559,plain,
    ! [SV138: $i] :
      ( ( ! [SY1521: $i] : ( is_bool @ ( hAPP_f986089162l_bool @ SV138 @ SY1521 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2202]) ).

thf(2560,plain,
    ! [SV139: $i] :
      ( ( ! [SY1522: $i] : ( is_bool @ ( hAPP_f1001225811y_bool @ SV139 @ SY1522 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2203]) ).

thf(2561,plain,
    ! [SV140: $i] :
      ( ( ! [SY1523: $i] : ( is_bool @ ( hAPP_f1033709212l_bool @ SV140 @ SY1523 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2204]) ).

thf(2562,plain,
    ! [SV141: $i] :
      ( ( ! [SY1524: $i] : ( is_bool @ ( hAPP_f1776419603l_bool @ SV141 @ SY1524 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2205]) ).

thf(2563,plain,
    ! [SV142: $i] :
      ( ( ! [SY1525: $i] : ( is_bool @ ( hAPP_f678833350l_bool @ SV142 @ SY1525 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2206]) ).

thf(2564,plain,
    ! [SV143: $i] :
      ( ( ! [SY1526: $i] : ( is_bool @ ( hAPP_f1795246582l_bool @ SV143 @ SY1526 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2207]) ).

thf(2565,plain,
    ! [SV144: $i] :
      ( ( ! [SY1527: $i] : ( is_bool @ ( hAPP_f1931964053l_bool @ SV144 @ SY1527 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2208]) ).

thf(2566,plain,
    ! [SV145: $i] :
      ( ( ! [SY1528: $i] : ( is_bool @ ( hAPP_f1520735791l_bool @ SV145 @ SY1528 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2209]) ).

thf(2567,plain,
    ! [SV146: $i] :
      ( ( ! [SY1529: $i] : ( is_bool @ ( hAPP_f1889282162l_bool @ SV146 @ SY1529 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2210]) ).

thf(2568,plain,
    ! [SV147: $i] :
      ( ( ! [SY1530: $i] : ( is_bool @ ( hAPP_f1118567467l_bool @ SV147 @ SY1530 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2211]) ).

thf(2569,plain,
    ! [SV148: $i] :
      ( ( ! [SY1531: $i] : ( is_bool @ ( hAPP_f1409772418l_bool @ SV148 @ SY1531 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2212]) ).

thf(2570,plain,
    ! [SV149: $i] :
      ( ( ! [SY1532: $i] : ( is_bool @ ( hAPP_f54304608l_bool @ SV149 @ SY1532 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2213]) ).

thf(2571,plain,
    ! [SV150: $i] :
      ( ( ! [SY1533: $i] : ( is_bool @ ( hAPP_f61040418l_bool @ SV150 @ SY1533 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2214]) ).

thf(2572,plain,
    ! [SV151: $i] :
      ( ( ! [SY1534: $i] : ( is_bool @ ( hAPP_f2071159779l_bool @ SV151 @ SY1534 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2215]) ).

thf(2573,plain,
    ! [SV152: $i] :
      ( ( ! [SY1535: $i] : ( is_bool @ ( hAPP_f1450446905l_bool @ SV152 @ SY1535 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2216]) ).

thf(2574,plain,
    ! [SV153: $i] :
      ( ( ! [SY1536: $i] : ( is_bool @ ( hAPP_f742333458l_bool @ SV153 @ SY1536 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2217]) ).

thf(2575,plain,
    ! [SV154: $i] :
      ( ( ! [SY1537: $i] : ( is_bool @ ( hAPP_f588675559l_bool @ SV154 @ SY1537 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2218]) ).

thf(2576,plain,
    ! [SV155: $i] :
      ( ( ! [SY1538: $i] : ( is_bool @ ( hAPP_f91506671l_bool @ SV155 @ SY1538 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2219]) ).

thf(2577,plain,
    ! [SV156: $i] :
      ( ( ! [SY1539: $i] : ( is_bool @ ( hAPP_f434955681l_bool @ SV156 @ SY1539 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2220]) ).

thf(2578,plain,
    ! [SV157: $i] :
      ( ( ! [SY1540: $i] : ( is_bool @ ( hAPP_f1734260017l_bool @ SV157 @ SY1540 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2221]) ).

thf(2579,plain,
    ! [SV158: $i] :
      ( ( ! [SY1541: $i] : ( is_bool @ ( hAPP_f837795298l_bool @ SV158 @ SY1541 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2222]) ).

thf(2580,plain,
    ! [SV159: $i] :
      ( ( ! [SY1542: $i] : ( is_bool @ ( hAPP_f861853459l_bool @ SV159 @ SY1542 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2223]) ).

thf(2581,plain,
    ! [SV160: $i] :
      ( ( ! [SY1543: $i] : ( is_bool @ ( hAPP_f82569901l_bool @ SV160 @ SY1543 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2224]) ).

thf(2582,plain,
    ! [SV161: $i] :
      ( ( ! [SY1544: $i] : ( is_bool @ ( hAPP_f479632753l_bool @ SV161 @ SY1544 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2225]) ).

thf(2583,plain,
    ! [SV162: $i] :
      ( ( ! [SY1545: $i] : ( is_bool @ ( hAPP_f1780084320l_bool @ SV162 @ SY1545 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2226]) ).

thf(2584,plain,
    ! [SV163: $i] :
      ( ( ! [SY1546: $i] : ( is_bool @ ( hAPP_f2106398425l_bool @ SV163 @ SY1546 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2227]) ).

thf(2585,plain,
    ! [SV164: $i] :
      ( ( ! [SY1547: $i] : ( is_bool @ ( hAPP_f1715346603l_bool @ SV164 @ SY1547 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2228]) ).

thf(2586,plain,
    ! [SV165: $i] :
      ( ( ! [SY1548: $i] : ( is_bool @ ( hAPP_f1134950784l_bool @ SV165 @ SY1548 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2229]) ).

thf(2587,plain,
    ! [SV166: $i] :
      ( ( ! [SY1549: $i] : ( is_bool @ ( hAPP_f515912112l_bool @ SV166 @ SY1549 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2230]) ).

thf(2588,plain,
    ! [SV167: $i] :
      ( ( ! [SY1550: $i] : ( is_bool @ ( hAPP_f483496539l_bool @ SV167 @ SY1550 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2231]) ).

thf(2589,plain,
    ! [SV168: $i] :
      ( ( ! [SY1551: $i] : ( is_bool @ ( hAPP_f2050077417l_bool @ SV168 @ SY1551 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2232]) ).

thf(2590,plain,
    ! [SV169: $i] :
      ( ( ! [SY1552: $i] : ( is_bool @ ( hAPP_f433445541l_bool @ SV169 @ SY1552 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2233]) ).

thf(2591,plain,
    ! [SV170: $i] :
      ( ( ! [SY1553: $i] : ( is_bool @ ( hAPP_f1746574980l_bool @ SV170 @ SY1553 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2234]) ).

thf(2592,plain,
    ! [SV171: $i] :
      ( ( ! [SY1554: $i] : ( is_bool @ ( hAPP_f1314764175l_bool @ SV171 @ SY1554 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2235]) ).

thf(2593,plain,
    ! [SV172: $i] :
      ( ( ! [SY1555: $i] : ( is_bool @ ( hAPP_f348753975l_bool @ SV172 @ SY1555 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2236]) ).

thf(2594,plain,
    ! [SV173: $i] :
      ( ( ! [SY1556: $i] : ( is_bool @ ( hAPP_f288221747l_bool @ SV173 @ SY1556 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2237]) ).

thf(2595,plain,
    ! [SV174: $i] :
      ( ( ! [SY1557: $i] : ( is_bool @ ( hAPP_f1161798306l_bool @ SV174 @ SY1557 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2238]) ).

thf(2596,plain,
    ! [SV175: $i] :
      ( ( ! [SY1558: $i] : ( is_bool @ ( hAPP_f1748390065l_bool @ SV175 @ SY1558 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2239]) ).

thf(2597,plain,
    ! [SV176: $i] :
      ( ( ! [SY1559: $i] : ( is_bool @ ( hAPP_f2028441009l_bool @ SV176 @ SY1559 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2240]) ).

thf(2598,plain,
    ! [SV177: $i] :
      ( ( ! [SY1560: $i] : ( is_bool @ ( hAPP_f1661305905l_bool @ SV177 @ SY1560 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2241]) ).

thf(2599,plain,
    ! [SV178: $i] :
      ( ( ! [SY1561: $i] : ( is_bool @ ( hAPP_f966411375l_bool @ SV178 @ SY1561 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2242]) ).

thf(2600,plain,
    ! [SV179: $i] :
      ( ( ! [SY1562: $i] : ( is_bool @ ( hAPP_f1754555101l_bool @ SV179 @ SY1562 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2243]) ).

thf(2601,plain,
    ! [SV180: $i] :
      ( ( ! [SY1563: $i] : ( is_bool @ ( hAPP_f983152497l_bool @ SV180 @ SY1563 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2244]) ).

thf(2602,plain,
    ! [SV181: $i] :
      ( ( ! [SY1564: $i] : ( is_bool @ ( hAPP_f126136681l_bool @ SV181 @ SY1564 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2245]) ).

thf(2603,plain,
    ! [SV182: $i] :
      ( ( ! [SY1565: $i] : ( is_bool @ ( hAPP_f458849545l_bool @ SV182 @ SY1565 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2246]) ).

thf(2604,plain,
    ! [SV183: $i] :
      ( ( ! [SY1566: $i] : ( is_bool @ ( hAPP_f595031537l_bool @ SV183 @ SY1566 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2247]) ).

thf(2605,plain,
    ! [SV184: $i] :
      ( ( ! [SY1567: $i] : ( is_bool @ ( hAPP_f528956081l_bool @ SV184 @ SY1567 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2248]) ).

thf(2606,plain,
    ! [SV185: $i] :
      ( ( ! [SY1568: $i] : ( is_bool @ ( hAPP_f851858423l_bool @ SV185 @ SY1568 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2249]) ).

thf(2607,plain,
    ! [SV186: $i] :
      ( ( ! [SY1569: $i] : ( is_bool @ ( hAPP_f665343921l_bool @ SV186 @ SY1569 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2250]) ).

thf(2608,plain,
    ! [SV187: $i] :
      ( ( ! [SY1570: $i] : ( is_bool @ ( hAPP_f538118321l_bool @ SV187 @ SY1570 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2251]) ).

thf(2609,plain,
    ! [SV188: $i] :
      ( ( ! [SY1571: $i] : ( is_bool @ ( hAPP_f272179441l_bool @ SV188 @ SY1571 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2252]) ).

thf(2610,plain,
    ! [SV189: $i] :
      ( ( ! [SY1572: $i] : ( is_bool @ ( hAPP_f258424141l_bool @ SV189 @ SY1572 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2253]) ).

thf(2611,plain,
    ! [SV190: $i] :
      ( ( ! [SY1573: $i] : ( is_bool @ ( hAPP_f1145574243l_bool @ SV190 @ SY1573 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2254]) ).

thf(2612,plain,
    ! [SV191: $i] :
      ( ( ! [SY1574: $i] : ( is_bool @ ( hAPP_f126445617l_bool @ SV191 @ SY1574 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2255]) ).

thf(2613,plain,
    ! [SV192: $i] :
      ( ( ! [SY1575: $i] : ( is_bool @ ( hAPP_f2129782055l_bool @ SV192 @ SY1575 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2256]) ).

thf(2614,plain,
    ! [SV193: $i] :
      ( ( ! [SY1576: $i] : ( is_bool @ ( hAPP_f1297673713l_bool @ SV193 @ SY1576 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2257]) ).

thf(2615,plain,
    ! [SV194: $i] :
      ( ( ! [SY1577: $i] : ( is_bool @ ( hAPP_f1261741735l_bool @ SV194 @ SY1577 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2258]) ).

thf(2616,plain,
    ! [SV195: $i] :
      ( ( ! [SY1578: $i] : ( is_bool @ ( hAPP_f1980787287l_bool @ SV195 @ SY1578 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2259]) ).

thf(2617,plain,
    ! [SV196: $i] :
      ( ( ! [SY1579: $i] : ( is_bool @ ( hAPP_P943837928l_bool @ SV196 @ SY1579 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2260]) ).

thf(2618,plain,
    ! [SV197: $i] :
      ( ( ! [SY1580: $i] : ( is_bool @ ( hAPP_P1632759357r_bool @ SV197 @ SY1580 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2261]) ).

thf(2619,plain,
    ! [SV198: $i] :
      ( ( ! [SY1581: $i] : ( is_bool @ ( hAPP_P1708370145l_bool @ SV198 @ SY1581 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2262]) ).

thf(2620,plain,
    ! [SV199: $i] :
      ( ( ! [SY1582: $i] : ( is_bool @ ( hAPP_P499022727r_bool @ SV199 @ SY1582 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2263]) ).

thf(2621,plain,
    ! [SV200: $i] :
      ( ( ! [SY1583: $i] : ( is_bool @ ( hAPP_P71593144l_bool @ SV200 @ SY1583 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2264]) ).

thf(2622,plain,
    ! [SV201: $i] :
      ( ( ! [SY1584: $i] : ( is_bool @ ( hAPP_P2014166431r_bool @ SV201 @ SY1584 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2265]) ).

thf(2623,plain,
    ! [SV202: $i] :
      ( ( ! [SY1585: $i] : ( is_bool @ ( hAPP_P476431815r_bool @ SV202 @ SY1585 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2266]) ).

thf(2624,plain,
    ! [SV203: $i] :
      ( ( ! [SY1586: $i] : ( is_bool @ ( hAPP_P92196306r_bool @ SV203 @ SY1586 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2267]) ).

thf(2625,plain,
    ! [SV204: $i] :
      ( ( ! [SY1587: $i] : ( is_bool @ ( hAPP_P449474095r_bool @ SV204 @ SY1587 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2268]) ).

thf(2626,plain,
    ! [SV205: $i] :
      ( ( ! [SY1588: $i] : ( is_bool @ ( hAPP_P748443392y_bool @ SV205 @ SY1588 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2269]) ).

thf(2627,plain,
    ! [SV206: $i] :
      ( ( ! [SY1589: $i] : ( is_bool @ ( hAPP_P1235399154l_bool @ SV206 @ SY1589 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2270]) ).

thf(2628,plain,
    ! [SV207: $i] :
      ( ( ! [SY1590: $i] : ( is_bool @ ( hAPP_P1680401186r_bool @ SV207 @ SY1590 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2271]) ).

thf(2629,plain,
    ! [SV208: $i] :
      ( ( ! [SY1591: $i] : ( is_bool @ ( hAPP_P1384137393r_bool @ SV208 @ SY1591 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2272]) ).

thf(2630,plain,
    ! [SV209: $i] :
      ( ( ! [SY1592: $i] : ( is_bool @ ( hAPP_P659547099r_bool @ SV209 @ SY1592 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2273]) ).

thf(2631,plain,
    ! [SV210: $i] :
      ( ( ! [SY1593: $i] : ( is_bool @ ( hAPP_P1574824955y_bool @ SV210 @ SY1593 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2274]) ).

thf(2632,plain,
    ! [SV211: $i] :
      ( ( ! [SY1594: $i] : ( is_bool @ ( hAPP_P1907982426r_bool @ SV211 @ SY1594 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2275]) ).

thf(2633,plain,
    ! [SV212: $i] :
      ( ( ! [SY1595: $i] : ( is_bool @ ( hAPP_P1187139874r_bool @ SV212 @ SY1595 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2276]) ).

thf(2634,plain,
    ! [SV213: $i] :
      ( ( ! [SY1596: $i] : ( is_bool @ ( hAPP_P2118621157r_bool @ SV213 @ SY1596 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2277]) ).

thf(2635,plain,
    ! [SV214: $i] :
      ( ( ! [SY1597: $i] : ( is_bool @ ( hAPP_P2115985549l_bool @ SV214 @ SY1597 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2278]) ).

thf(2636,plain,
    ! [SV215: $i] :
      ( ( ! [SY1598: $i] : ( is_bool @ ( hAPP_P2053453961y_bool @ SV215 @ SY1598 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2279]) ).

thf(2637,plain,
    ! [SV216: $i] :
      ( ( ! [SY1599: $i] : ( is_bool @ ( hAPP_P828904212r_bool @ SV216 @ SY1599 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2280]) ).

thf(2638,plain,
    ! [SV217: $i] :
      ( ( ! [SY1600: $i] : ( is_bool @ ( hAPP_P1926698759r_bool @ SV217 @ SY1600 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2281]) ).

thf(2639,plain,
    ! [SV218: $i] :
      ( ( ! [SY1601: $i] : ( is_bool @ ( hAPP_P929938951l_bool @ SV218 @ SY1601 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2282]) ).

thf(2640,plain,
    ! [SV219: $i] :
      ( ( ! [SY1602: $i] : ( is_bool @ ( hAPP_P468446343l_bool @ SV219 @ SY1602 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2283]) ).

thf(2641,plain,
    ! [SV220: $i] :
      ( ( ! [SY1603: $i] : ( is_bool @ ( hAPP_P159683425l_bool @ SV220 @ SY1603 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2284]) ).

thf(2642,plain,
    ! [SV221: $i] :
      ( ( ! [SY1604: $i] : ( is_bool @ ( hAPP_P2077557811l_bool @ SV221 @ SY1604 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2285]) ).

thf(2643,plain,
    ! [SV222: $i] :
      ( ( ! [SY1605: $i] : ( is_bool @ ( hAPP_P504978887l_bool @ SV222 @ SY1605 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2286]) ).

thf(2644,plain,
    ! [SV223: $i] :
      ( ( ! [SY1606: $i] : ( is_bool @ ( hAPP_P738987199l_bool @ SV223 @ SY1606 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2287]) ).

thf(2645,plain,
    ! [SV224: $i] :
      ( ( ! [SY1607: $i] : ( is_bool @ ( hAPP_P282169671l_bool @ SV224 @ SY1607 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2288]) ).

thf(2646,plain,
    ! [SV225: $i] :
      ( ( ! [SY1608: $i] : ( is_bool @ ( hAPP_P1333315679l_bool @ SV225 @ SY1608 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2289]) ).

thf(2647,plain,
    ! [SV226: $i] :
      ( ( ! [SY1609: $i] : ( is_bool @ ( hAPP_P1002912327r_bool @ SV226 @ SY1609 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2290]) ).

thf(2648,plain,
    ! [SV227: $i] :
      ( ( ! [SY1610: $i] : ( is_bool @ ( hAPP_P824029447r_bool @ SV227 @ SY1610 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2291]) ).

thf(2649,plain,
    ! [SV228: $i] :
      ( ( ! [SY1611: $i] : ( is_bool @ ( hAPP_P27757617y_bool @ SV228 @ SY1611 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2292]) ).

thf(2650,plain,
    ! [SV229: $i] :
      ( ( ! [SY1612: $i] : ( is_bool @ ( hAPP_P2010574925r_bool @ SV229 @ SY1612 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2293]) ).

thf(2651,plain,
    ! [SV230: $i] :
      ( ( ! [SY1613: $i] : ( is_bool @ ( hAPP_P124632071l_bool @ SV230 @ SY1613 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2294]) ).

thf(2652,plain,
    ! [SV231: $i] :
      ( ( ! [SY1614: $i] : ( is_bool @ ( hAPP_P975284999r_bool @ SV231 @ SY1614 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2295]) ).

thf(2653,plain,
    ! [SV232: $i] :
      ( ( ! [SY1615: $i] : ( is_bool @ ( hAPP_P929449287r_bool @ SV232 @ SY1615 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2296]) ).

thf(2654,plain,
    ! [SV233: $i] :
      ( ( ! [SY1616: $i] : ( is_bool @ ( hAPP_P1240100515r_bool @ SV233 @ SY1616 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2297]) ).

thf(2655,plain,
    ! [SV234: $i] :
      ( ( ! [SY1617: $i] : ( is_bool @ ( hAPP_P1183499705r_bool @ SV234 @ SY1617 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2298]) ).

thf(2656,plain,
    ! [SV235: $i] :
      ( ( ! [SY1618: $i] : ( is_bool @ ( hAPP_P801803911r_bool @ SV235 @ SY1618 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2299]) ).

thf(2657,plain,
    ! [SV236: $i] :
      ( ( ! [SY1619: $i] : ( is_bool @ ( hAPP_P2123002749l_bool @ SV236 @ SY1619 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2300]) ).

thf(2658,plain,
    ! [SV237: $i] :
      ( ( ! [SY1620: $i] : ( is_bool @ ( hAPP_P1221872711l_bool @ SV237 @ SY1620 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2301]) ).

thf(2659,plain,
    ! [SV238: $i] :
      ( ( ! [SY1621: $i] : ( is_bool @ ( hAPP_P378063101l_bool @ SV238 @ SY1621 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2302]) ).

thf(2660,plain,
    ! [SV239: $i] :
      ( ( ! [SY1622: $i] : ( is_bool @ ( hAPP_P2028072621l_bool @ SV239 @ SY1622 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2303]) ).

thf(2661,plain,
    ! [SV240: $i] :
      ( ( ! [SY1623: $i] :
            ( ( fun_up204312361on_val @ SV240 @ SY1623 @ ( hAPP_P2094403585on_val @ SV240 @ SY1623 ) )
            = SV240 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2304]) ).

thf(2662,plain,
    ! [SV241: $i] :
      ( ( ! [SY1624: $i,SY1625: $i] :
            ( ( ( hAPP_P2094403585on_val @ SV241 @ SY1624 )
             != SY1625 )
            | ( ( fun_up204312361on_val @ SV241 @ SY1624 @ SY1625 )
              = SV241 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2306]) ).

thf(2663,plain,
    ! [SV242: $i] :
      ( ( ! [SY1626: $i,SY1627: $i,SY1628: $i] :
            ( ( SY1627 = SY1628 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV242 @ SY1628 @ SY1626 ) @ SY1627 )
              = ( hAPP_P2094403585on_val @ SV242 @ SY1627 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2307]) ).

thf(2664,plain,
    ! [SV243: $i] :
      ( ( ! [SY1629: $i,SY1630: $i,SY1631: $i,SY1632: $i] :
            ( ( SY1631 = SY1632 )
            | ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV243 @ SY1631 @ SY1629 ) @ SY1632 @ SY1630 )
              = ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV243 @ SY1632 @ SY1630 ) @ SY1631 @ SY1629 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2308]) ).

thf(2665,plain,
    ! [SV244: $i] :
      ( ( ! [SY1633: $i,SY1634: $i] :
            ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV244 @ SY1633 @ SY1634 ) @ SY1633 )
            = SY1634 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2310]) ).

thf(2666,plain,
    ! [SV245: $i] :
      ( ( ! [SY1635: $i,SY1636: $i,SY1637: $i] :
            ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV245 @ SY1635 @ SY1636 ) @ SY1635 @ SY1637 )
            = ( fun_up204312361on_val @ SV245 @ SY1635 @ SY1637 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2311]) ).

thf(2667,plain,
    ! [SV246: $i] :
      ( ( ! [SY1638: $i,SY1639: $i] :
            ( ( map_ad325961431ar_val @ SV246 @ ( map_ad325961431ar_val @ SY1638 @ SY1639 ) )
            = ( map_ad325961431ar_val @ ( map_ad325961431ar_val @ SV246 @ SY1638 ) @ SY1639 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2313]) ).

thf(2668,plain,
    ! [SV247: $i] :
      ( ( ! [SY1640: $i,SY1641: $i,SY1642: $i,SY1643: $i] :
            ( ( block_list_char @ SV247 @ SY1640 @ SY1641 )
           != ( lAss_list_char @ SY1642 @ SY1643 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2314]) ).

thf(2669,plain,
    ! [SV248: $i] :
      ( ( ! [SY1644: $i,SY1645: $i,SY1646: $i,SY1647: $i] :
            ( ( block_list_char @ SV248 @ SY1644 @ SY1645 )
           != ( seq_list_char @ SY1646 @ SY1647 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2315]) ).

thf(2670,plain,
    ! [SV249: $i] :
      ( ( ! [SY1648: $i,SY1649: $i,SY1650: $i,SY1651: $i] :
            ( ( lAss_list_char @ SV249 @ SY1648 )
           != ( block_list_char @ SY1649 @ SY1650 @ SY1651 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2316]) ).

thf(2671,plain,
    ! [SV250: $i] :
      ( ( ! [SY1652: $i,SY1653: $i,SY1654: $i] :
            ( ( seq_list_char @ SV250 @ SY1652 )
           != ( lAss_list_char @ SY1653 @ SY1654 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2319]) ).

thf(2672,plain,
    ! [SV251: $i] :
      ( ( ! [SY1655: $i,SY1656: $i,SY1657: $i] :
            ( ( lAss_list_char @ SV251 @ SY1655 )
           != ( seq_list_char @ SY1656 @ SY1657 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2320]) ).

thf(2673,plain,
    ! [SV252: $i] :
      ( ( ! [SY1658: $i,SY1659: $i,SY1660: $i,SY1661: $i] :
            ( ( seq_list_char @ SV252 @ SY1658 )
           != ( block_list_char @ SY1659 @ SY1660 @ SY1661 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2321]) ).

thf(2674,plain,
    ! [SV253: $i] :
      ( ( ! [SY1662: $i,SY1663: $i,SY1664: $i,SY1665: $i,SY1666: $i] :
            ( ! [SY1667: $i] :
                ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV253 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1662 ) @ SY1663 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1664 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1665 ) @ SY1666 ) ) ) ) @ ( red @ SY1667 ) ) )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ ( dom_list_char_val @ SY1663 ) ) @ ( dom_list_char_val @ SY1666 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2322]) ).

thf(2675,plain,
    ! [SV254: $i] :
      ( ( ! [SY1668: $i,SY1669: $i] :
            ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SY1668 @ SY1669 ) )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY1668 ) @ SV254 ) )
            | ( hBOOL @ ( hAPP_list_char_bool @ SV254 @ SY1669 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2323]) ).

thf(2676,plain,
    ! [SV255: $i] :
      ( ( ! [SY1670: $i,SY1671: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY1670 ) @ SY1671 ) )
            | ~ ( hBOOL @ ( hAPP_list_char_bool @ SY1670 @ SV255 ) )
            | ( hBOOL @ ( hAPP_list_char_bool @ SY1671 @ SV255 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2324]) ).

thf(2677,plain,
    ! [SV256: $i] :
      ( ( ! [SY1672: $i,SY1673: $i] :
            ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV256 @ SY1672 @ ( hAPP_val_option_val @ some_val @ SY1673 ) ) @ ( sK12_X_1 @ SY1673 @ SY1672 @ SV256 ) )
           != none_val ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2326]) ).

thf(2678,plain,
    ! [SV257: $i] :
      ( ( ( transi2024712006on_val @ ( transi2024712006on_val @ SV257 ) )
        = ( transi2024712006on_val @ SV257 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2329]) ).

thf(2679,plain,
    ! [SV258: $i] :
      ( ( ! [SY1674: $i,SY1675: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY1674 ) @ SY1675 ) )
            | ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SY1674 @ SV258 ) ) @ ( hAPP_list_char_bool @ SY1675 @ SV258 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2332]) ).

thf(2680,plain,
    ! [SV259: $i] :
      ( ( ! [SY1676: $i,SY1677: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY1676 ) @ SY1677 ) )
            | ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SY1676 @ SV259 ) ) @ ( hAPP_list_char_bool @ SY1677 @ SV259 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2333]) ).

thf(2681,plain,
    ! [SV260: $i] :
      ( ( ~ ( hBOOL @ ( wf_pro755087577t_char @ wf_J_mdecl @ SV260 ) )
        | ( hBOOL @ ( wf_pro755087577t_char @ wwf_J_mdecl @ SV260 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2335]) ).

thf(2682,plain,
    ! [SV261: $i] :
      ( ( ! [SY1678: $i] :
            ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SV261 @ ( sK2_X_1 @ SY1678 @ SV261 ) ) ) @ ( hAPP_list_char_bool @ SY1678 @ ( sK2_X_1 @ SY1678 @ SV261 ) ) ) )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV261 ) @ SY1678 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2336]) ).

thf(2683,plain,
    ! [SV262: $i] :
      ( ( ( semila919158006r_bool @ SV262 @ SV262 )
        = SV262 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2337]) ).

thf(2684,plain,
    ! [SV263: $i] :
      ( ( ! [SY1679: $i] :
            ( ( semila919158006r_bool @ SV263 @ SY1679 )
            = ( semila919158006r_bool @ SY1679 @ SV263 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2338]) ).

thf(2685,plain,
    ! [SV264: $i] :
      ( ( ! [SY1680: $i] :
            ( ( fv @ ( seq_list_char @ SV264 @ SY1680 ) )
            = ( semila919158006r_bool @ ( fv @ SV264 ) @ ( fv @ SY1680 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2339]) ).

thf(2686,plain,
    ! [SV265: $i] :
      ( ( ! [SY1681: $i,SY1682: $i,SY1683: $i] :
            ( ( fv @ ( fAss_list_char @ SV265 @ SY1681 @ SY1682 @ SY1683 ) )
            = ( semila919158006r_bool @ ( fv @ SV265 ) @ ( fv @ SY1683 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2340]) ).

thf(2687,plain,
    ! [SV266: $i] :
      ( ( ( fv @ ( throw_list_char @ SV266 ) )
        = ( fv @ SV266 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2341]) ).

thf(2688,plain,
    ! [SV267: $i] :
      ( ( ! [SY1684: $i,SY1685: $i] :
            ( ( fv @ ( fAcc_list_char @ SV267 @ SY1684 @ SY1685 ) )
            = ( fv @ SV267 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2342]) ).

thf(2689,plain,
    ! [SV268: $i] :
      ( ( ! [SY1686: $i,SY1687: $i,SY1688: $i,SY1689: $i,SY1690: $i,SY1691: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1687 ) @ SY1688 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1689 ) ) @ SY1690 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1691 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY1687 @ SV268 @ SY1686 ) ) @ SY1688 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1689 ) ) @ SY1690 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1691 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2343]) ).

thf(2690,plain,
    ! [SV269: $i] :
      ( ( ! [SY1692: $i,SY1693: $i,SY1694: $i,SY1695: $i,SY1696: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1692 ) @ SY1693 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1694 ) ) @ SY1695 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1696 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV269 @ SY1692 ) ) @ SY1693 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1694 ) ) @ SY1695 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1696 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2344]) ).

thf(2691,plain,
    ! [SV270: $i] :
      ( ( ! [SY1697: $i,SY1698: $i,SY1699: $i,SY1700: $i,SY1701: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1697 ) @ SY1698 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1699 ) ) @ SY1700 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1701 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY1697 @ SV270 ) ) @ SY1698 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1699 ) ) @ SY1700 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1701 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2345]) ).

thf(2692,plain,
    ! [SV271: $i] :
      ( ( ! [SY1702: $i,SY1703: $i,SY1704: $i,SY1705: $i,SY1706: $i,SY1707: $i,SY1708: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1704 ) @ SY1705 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1706 ) ) @ SY1707 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1708 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY1704 @ SV271 @ SY1702 @ SY1703 ) ) @ SY1705 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1706 ) ) @ SY1707 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1708 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2346]) ).

thf(2693,plain,
    ! [SV272: $i] :
      ( ( ! [SY1709: $i,SY1710: $i,SY1711: $i,SY1712: $i,SY1713: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SY1709 @ SY1710 @ SY1711 @ SY1712 @ SY1713 ) )
            | ~ ( hBOOL @ ( is_refT @ SY1713 ) )
            | ( hBOOL @ ( wTrt_1 @ SY1709 @ SY1710 @ SY1711 @ ( throw_list_char @ SY1712 ) @ SV272 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2347]) ).

thf(2694,plain,
    ! [SV273: $i] :
      ( ( ! [SY1714: $i,SY1715: $i] :
            ( ( fv @ ( binOp_list_char @ SV273 @ SY1714 @ SY1715 ) )
            = ( semila919158006r_bool @ ( fv @ SV273 ) @ ( fv @ SY1715 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2348]) ).

thf(2695,plain,
    ! [SV274: $i] :
      ( ( ! [SY1716: $i,SY1717: $i,SY1718: $i,SY1719: $i,SY1720: $i,SY1721: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1717 ) @ SY1718 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1719 ) ) @ SY1720 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1721 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY1717 @ SV274 @ SY1716 ) ) @ SY1718 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1719 ) ) @ SY1720 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1721 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2349]) ).

thf(2696,plain,
    ! [SV275: $i] :
      ( ( ! [SY1722: $i] :
            ( ( fv @ ( cast_list_char @ SV275 @ SY1722 ) )
            = ( fv @ SY1722 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2351]) ).

thf(2697,plain,
    ! [SV276: $i] :
      ( ( ! [SY1723: $i,SY1724: $i,SY1725: $i,SY1726: $i,SY1727: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1723 ) @ SY1724 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1725 ) ) @ SY1726 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1727 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV276 @ SY1723 ) ) @ SY1724 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1725 ) ) @ SY1726 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1727 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2352]) ).

thf(2698,plain,
    ! [SV277: $i] :
      ( ( ! [SY1728: $i,SY1729: $i,SY1730: $i,SY1731: $i,SY1732: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SY1728 @ SY1729 @ SY1730 @ SY1731 @ SY1732 ) )
            | ~ ( hBOOL @ ( is_refT @ SY1732 ) )
            | ( hBOOL @ ( wTrt @ SY1728 @ SY1729 @ SY1730 @ ( throw_list_char @ SY1731 ) @ SV277 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2353]) ).

thf(2699,plain,
    ! [SV278: $i] :
      ( ( ! [SY1733: $i] :
            ( ( addr @ SV278 )
           != ( bool @ SY1733 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2354]) ).

thf(2700,plain,
    ! [SV279: $i] :
      ( ( ! [SY1734: $i] :
            ( ( bool @ SV279 )
           != ( addr @ SY1734 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2355]) ).

thf(2701,plain,
    ! [SV280: $i] :
      ( ( ( unit
         != ( bool @ SV280 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2356]) ).

thf(2702,plain,
    ! [SV281: $i] :
      ( ( ( ( bool @ SV281 )
         != unit ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2357]) ).

thf(2703,plain,
    ! [SV282: $i] :
      ( ( ( null
         != ( bool @ SV282 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2358]) ).

thf(2704,plain,
    ! [SV283: $i] :
      ( ( ( ( bool @ SV283 )
         != null ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2359]) ).

thf(2705,plain,
    ! [SV284: $i] :
      ( ( ! [SY1735: $i,SY1736: $i,SY1737: $i,SY1738: $i,SY1739: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1735 ) @ SY1736 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1737 ) ) @ SY1738 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1739 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( while_list_char @ SY1735 @ SV284 ) ) @ SY1736 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1737 ) ) @ SY1738 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1739 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2360]) ).

thf(2706,plain,
    ! [SV285: $i] :
      ( ( ! [SY1740: $i,SY1741: $i] :
            ( ( fv @ ( cond_list_char @ SV285 @ SY1740 @ SY1741 ) )
            = ( semila919158006r_bool @ ( semila919158006r_bool @ ( fv @ SV285 ) @ ( fv @ SY1740 ) ) @ ( fv @ SY1741 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2361]) ).

thf(2707,plain,
    ! [SV286: $i] :
      ( ( ! [SY1742: $i,SY1743: $i,SY1744: $i,SY1745: $i,SY1746: $i,SY1747: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1743 ) @ SY1744 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1745 ) ) @ SY1746 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1747 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SY1743 @ SV286 @ SY1742 ) ) @ SY1744 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1745 ) ) @ SY1746 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1747 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2362]) ).

thf(2708,plain,
    ! [SV287: $i] :
      ( ( ! [SY1748: $i,SY1749: $i,SY1750: $i,SY1751: $i,SY1752: $i,SY1753: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SY1750 @ SY1751 @ SY1752 @ SY1753 @ nt ) )
            | ( hBOOL @ ( wTrt_1 @ SY1750 @ SY1751 @ SY1752 @ ( fAcc_list_char @ SY1753 @ SV287 @ SY1748 ) @ SY1749 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2363]) ).

thf(2709,plain,
    ! [SV288: $i] :
      ( ( ! [SY1754: $i,SY1755: $i,SY1756: $i,SY1757: $i,SY1758: $i,SY1759: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SY1756 @ SY1757 @ SY1758 @ SY1759 @ nt ) )
            | ( hBOOL @ ( wTrt @ SY1756 @ SY1757 @ SY1758 @ ( fAcc_list_char @ SY1759 @ SV288 @ SY1754 ) @ SY1755 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2364]) ).

thf(2710,plain,
    ! [SV289: $i] :
      ( ( ! [SY1760: $i,SY1761: $i,SY1762: $i,SY1763: $i,SY1764: $i,SY1765: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1761 ) @ SY1762 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1763 ) ) @ SY1764 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1765 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SY1761 @ SV289 @ SY1760 ) ) @ SY1762 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY1763 ) ) @ SY1764 ) ) ) @ ( transi2024712006on_val @ ( red @ SY1765 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2365]) ).

thf(2711,plain,
    ! [SV290: $i] :
      ( ( ! [SY1766: $i,SY1767: $i,SY1768: $i,SY1769: $i,SY1770: $i,SY1771: $i,SY1772: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SY1769 @ SY1770 @ SY1771 @ SY1772 @ nt ) )
            | ~ ( hBOOL @ ( wTrts_1 @ SY1769 @ SY1770 @ SY1771 @ SY1767 @ SY1768 ) )
            | ( hBOOL @ ( wTrt_1 @ SY1769 @ SY1770 @ SY1771 @ ( call_list_char @ SY1772 @ SV290 @ SY1767 ) @ SY1766 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2366]) ).

thf(2712,plain,
    ! [SV291: $i] :
      ( ( ! [SY1773: $i,SY1774: $i,SY1775: $i,SY1776: $i,SY1777: $i,SY1778: $i,SY1779: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SY1776 @ SY1777 @ SY1778 @ SY1779 @ nt ) )
            | ~ ( hBOOL @ ( wTrts @ SY1776 @ SY1777 @ SY1778 @ SY1774 @ SY1775 ) )
            | ( hBOOL @ ( wTrt @ SY1776 @ SY1777 @ SY1778 @ ( call_list_char @ SY1779 @ SV291 @ SY1774 ) @ SY1773 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2367]) ).

thf(2713,plain,
    ! [SV292: $i] :
      ( ( ~ ( is_bool @ SV292 )
        | ( SV292 = fTrue )
        | ( SV292 = fFalse ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2368]) ).

thf(2714,plain,
    ! [SV293: $i] :
      ( ( ~ ( is_bool @ SV293 )
        | ( SV293 = fTrue )
        | ( SV293 = fFalse ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2369]) ).

thf(2715,plain,
    ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ 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)],[2370]) ).

thf(2716,plain,
    ! [SV294: $i] :
      ( ( ! [SY1780: $i,SY1781: $i,SY1782: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1780 ) @ SY1781 ) ) @ ( transi2024712006on_val @ SY1782 ) ) )
            | ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SY1781 ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK13_Y_1 @ SY1782 @ SY1781 @ SY1780 @ SV294 ) ) @ ( sK14_SY1140 @ SY1782 @ SY1781 @ SY1780 @ SV294 ) ) ) @ SY1782 ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_SY1140 @ SY1782 @ SY1781 @ SY1780 @ SV294 ) ) @ SY1781 ) ) @ ( transi2024712006on_val @ SY1782 ) ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK14_SY1140 @ SY1782 @ SY1781 @ SY1780 @ SV294 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK13_Y_1 @ SY1782 @ SY1781 @ SY1780 @ SV294 ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SY1780 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2371]) ).

thf(2717,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) )
            | ( SX1 != SX0 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) )
            | ( SX1 = SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2372]) ).

thf(2718,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( sK69_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 @ ( sK67_A_1 @ SX0 ) ) @ ( sK68_SY1167 @ SX0 ) ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2373]) ).

thf(2719,plain,
    ! [SV295: $i] :
      ( ( ! [SY1783: $i] :
            ~ ( ~ ! [SY1784: $i,SY1785: $i] :
                    ( ( SY1785 != SY1784 )
                    | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV295 @ SY1784 @ SY1783 ) @ SY1785 )
                      = SY1783 ) )
              | ~ ! [SY1786: $i,SY1787: $i] :
                    ( ( SY1787 = SY1786 )
                    | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV295 @ SY1786 @ SY1783 ) @ SY1787 )
                      = ( hAPP_l207779698on_val @ SV295 @ SY1787 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2374]) ).

thf(2720,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SX0 ) @ SX1 ) )
            | ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SX0 ) @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2375]) ).

thf(2721,plain,
    ! [SV296: $i] :
      ( ( ! [SY1788: $i,SY1789: $i,SY1790: $i,SY1791: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SY1788 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1789 ) @ SY1790 ) ) ) @ ( transi2024712006on_val @ SY1791 ) ) )
            | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SY1788 )
              = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1789 ) @ SY1790 ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SY1788 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SY1791 @ SY1790 @ SY1789 @ SY1788 @ SV296 ) ) @ ( sK21_SY1142 @ SY1791 @ SY1790 @ SY1789 @ SY1788 @ SV296 ) ) ) ) @ SY1791 ) )
                | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SY1791 @ SY1790 @ SY1789 @ SY1788 @ SV296 ) ) @ ( sK21_SY1142 @ SY1791 @ SY1790 @ SY1789 @ SY1788 @ SV296 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1789 ) @ SY1790 ) ) ) @ ( transi2024712006on_val @ SY1791 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2376]) ).

thf(2722,plain,
    ! [SV297: $i] :
      ( ( ! [SY1792: $i,SY1793: $i,SY1794: $i] :
            ( ! [SY1795: $i] :
                ~ ( hBOOL @ ( wTrt_1 @ SV297 @ SY1792 @ SY1793 @ ( throw_list_char @ SY1794 ) @ SY1795 ) )
            | ~ ( ~ ( hBOOL @ ( wTrt_1 @ SV297 @ SY1792 @ SY1793 @ SY1794 @ ( sK1_T_r_1 @ SY1794 @ SY1793 @ SY1792 @ SV297 ) ) )
                | ~ ( hBOOL @ ( is_refT @ ( sK1_T_r_1 @ SY1794 @ SY1793 @ SY1792 @ SV297 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2377]) ).

thf(2723,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK33_A_1 @ SX0 ) ) @ ( sK34_SY1145 @ 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 @ ( sK32_X1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2378]) ).

thf(2724,plain,
    ! [SV298: $i] :
      ( ( ~ ( ~ ! [SY1796: $i,SY1797: $i] :
                  ( ~ ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV298 @ SY1796 ) @ SY1797 ) )
                  | ( hBOOL @ ( d_list_char @ SY1796 @ SY1797 ) ) )
            | ~ ! [SY1798: $i,SY1799: $i] :
                  ( ~ ( hBOOL @ ( d_list_char @ SY1798 @ SY1799 ) )
                  | ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV298 @ SY1798 ) @ SY1799 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2379]) ).

thf(2725,plain,
    ! [SV299: $i] :
      ( ( ! [SY1800: $i,SY1801: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ! [SY1802: $i] :
                                ( ! [SY1803: $i] :
                                    ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SY1800 @ ( hAPP_val_option_val @ some_val @ SY1801 ) ) @ SY1802 )
                                   != ( hAPP_val_option_val @ some_val @ SY1803 ) )
                                | ( SY1802 = SY1800 )
                                | ( SY1802 != SY1800 ) )
                          | ~ ! [SY1804: $i,SY1805: $i] :
                                ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SY1800 @ ( hAPP_val_option_val @ some_val @ SY1801 ) ) @ SY1804 )
                                 != ( hAPP_val_option_val @ some_val @ SY1805 ) )
                                | ( SY1804 = SY1800 )
                                | ( ( hAPP_P2094403585on_val @ SV299 @ SY1804 )
                                  = ( hAPP_val_option_val @ some_val @ SY1805 ) ) ) )
                    | ~ ~ ( ~ ! [SY1806: $i,SY1807: $i] :
                                ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SY1800 @ ( hAPP_val_option_val @ some_val @ SY1801 ) ) @ SY1806 )
                                 != ( hAPP_val_option_val @ some_val @ SY1807 ) )
                                | ( SY1801 = SY1807 )
                                | ( SY1806 != SY1800 ) )
                          | ~ ! [SY1808: $i,SY1809: $i] :
                                ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SY1800 @ ( hAPP_val_option_val @ some_val @ SY1801 ) ) @ SY1808 )
                                 != ( hAPP_val_option_val @ some_val @ SY1809 ) )
                                | ( SY1801 = SY1809 )
                                | ( ( hAPP_P2094403585on_val @ SV299 @ SY1808 )
                                  = ( hAPP_val_option_val @ some_val @ SY1809 ) ) ) ) )
              | ~ ~ ( ~ ! [SY1810: $i,SY1811: $i] :
                          ( ( SY1810 != SY1800 )
                          | ( SY1801 != SY1811 )
                          | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SY1800 @ ( hAPP_val_option_val @ some_val @ SY1801 ) ) @ SY1810 )
                            = ( hAPP_val_option_val @ some_val @ SY1811 ) ) )
                    | ~ ! [SY1812: $i,SY1813: $i] :
                          ( ( SY1812 = SY1800 )
                          | ( ( hAPP_P2094403585on_val @ SV299 @ SY1812 )
                           != ( hAPP_val_option_val @ some_val @ SY1813 ) )
                          | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SY1800 @ ( hAPP_val_option_val @ some_val @ SY1801 ) ) @ SY1812 )
                            = ( hAPP_val_option_val @ some_val @ SY1813 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2380]) ).

thf(2726,plain,
    ! [SV300: $i] :
      ( ( ~ ( ~ ! [SY1814: $i,SY1815: $i] :
                  ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SY1814 @ SY1815 ) )
                  | ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV300 @ SY1814 ) @ SY1815 ) ) )
            | ~ ! [SY1816: $i,SY1817: $i] :
                  ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SV300 @ SY1817 ) )
                  | ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV300 @ SY1816 ) @ SY1817 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2381]) ).

thf(2727,plain,
    ! [SV301: $i] :
      ( ( ! [SY1818: $i] :
            ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( sK22_X_1 @ SY1818 @ SV301 ) ) @ SY1818 ) )
                | ~ ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( sK22_X_1 @ SY1818 @ SV301 ) ) @ SV301 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SY1818 ) @ SV301 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2382]) ).

thf(2728,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2383]) ).

thf(2729,plain,
    ! [SV302: $i] :
      ( ( ! [SY1819: $i,SY1820: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV302 ) @ SY1819 ) ) @ ( transi2024712006on_val @ SY1820 ) ) )
            | ( SV302 = SY1819 )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV302 ) @ ( sK15_Y_1 @ SY1820 @ SY1819 @ SV302 ) ) ) @ SY1820 ) )
                | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK15_Y_1 @ SY1820 @ SY1819 @ SV302 ) ) @ SY1819 ) ) @ ( transi2024712006on_val @ SY1820 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2384]) ).

thf(2730,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( sK63_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 @ ( sK61_A_1 @ SX0 ) ) @ ( sK62_SY1165 @ SX0 ) ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2385]) ).

thf(2731,plain,
    ! [SV303: $i] :
      ( ( ! [SY1821: $i] :
            ~ ( ~ ! [SY1822: $i,SY1823: $i] :
                    ( ( SV303 != SY1822 )
                    | ( SY1821 != SY1823 )
                    | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SY1821 )
                      = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1822 ) @ SY1823 ) ) )
              | ~ ~ ( ~ ! [SY1824: $i] :
                          ( ! [SY1825: $i] :
                              ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SY1821 )
                             != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1824 ) @ SY1825 ) )
                          | ( SV303 = SY1824 ) )
                    | ~ ! [SY1826: $i,SY1827: $i] :
                          ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SY1821 )
                           != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1826 ) @ SY1827 ) )
                          | ( SY1821 = SY1827 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2386]) ).

thf(2732,plain,
    ! [SV304: $i] :
      ( ( ! [SY1828: $i] :
            ~ ( ~ ! [SY1829: $i,SY1830: $i] :
                    ( ( SV304 != SY1829 )
                    | ( SY1828 != SY1830 )
                    | ( ( lAss_list_char @ SV304 @ SY1828 )
                      = ( lAss_list_char @ SY1829 @ SY1830 ) ) )
              | ~ ~ ( ~ ! [SY1831: $i] :
                          ( ! [SY1832: $i] :
                              ( ( lAss_list_char @ SV304 @ SY1828 )
                             != ( lAss_list_char @ SY1831 @ SY1832 ) )
                          | ( SV304 = SY1831 ) )
                    | ~ ! [SY1833: $i,SY1834: $i] :
                          ( ( ( lAss_list_char @ SV304 @ SY1828 )
                           != ( lAss_list_char @ SY1833 @ SY1834 ) )
                          | ( SY1828 = SY1834 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2387]) ).

thf(2733,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) )
            | ( SX0 = SX1 ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ( SX0 != SX1 )
                  | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ( SX0 != SX1 )
                  | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2388]) ).

thf(2734,plain,
    ! [SV305: $i] :
      ( ( ! [SY1835: $i,SY1836: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV305 ) @ SY1835 ) ) @ ( transi2024712006on_val @ SY1836 ) ) )
            | ( SV305 = SY1835 )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV305 ) @ ( sK16_Y_1 @ SY1836 @ SY1835 @ SV305 ) ) ) @ ( transi2024712006on_val @ SY1836 ) ) )
                | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_Y_1 @ SY1836 @ SY1835 @ SV305 ) ) @ SY1835 ) ) @ SY1836 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2389]) ).

thf(2735,plain,
    ! [SV306: $i] :
      ( ( ! [SY1837: $i,SY1838: $i,SY1839: $i,SY1840: $i,SY1841: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1837 ) @ SY1838 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1839 ) @ SY1840 ) ) ) @ ( transi2024712006on_val @ SY1841 ) ) )
            | ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SY1839 ) @ SY1840 ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK8_A_1 @ SY1841 @ SY1840 @ SY1839 @ SY1838 @ SY1837 @ SV306 ) ) @ ( sK9_SY1134 @ SY1841 @ SY1840 @ SY1839 @ SY1838 @ SY1837 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SY1841 @ SY1840 @ SY1839 @ SY1838 @ SY1837 @ SV306 ) ) @ ( sK11_SY1139 @ SY1841 @ SY1840 @ SY1839 @ SY1838 @ SY1837 @ SV306 ) ) ) ) @ SY1841 ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SY1841 @ SY1840 @ SY1839 @ SY1838 @ SY1837 @ SV306 ) ) @ ( sK11_SY1139 @ SY1841 @ SY1840 @ SY1839 @ SY1838 @ SY1837 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1839 ) @ SY1840 ) ) ) @ ( transi2024712006on_val @ SY1841 ) ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK10_SY1137 @ SY1841 @ SY1840 @ SY1839 @ SY1838 @ SY1837 @ SV306 ) ) @ ( sK11_SY1139 @ SY1841 @ SY1840 @ SY1839 @ SY1838 @ SY1837 @ SV306 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK8_A_1 @ SY1841 @ SY1840 @ SY1839 @ SY1838 @ SY1837 @ SV306 ) ) @ ( sK9_SY1134 @ SY1841 @ SY1840 @ SY1839 @ SY1838 @ SY1837 @ SV306 ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SY1837 ) @ SY1838 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2390]) ).

thf(2736,plain,
    ! [SV307: $i] :
      ( ( ! [SY1842: $i] :
            ~ ( ~ ! [SY1843: $i,SY1844: $i] :
                    ( ( SV307 != SY1843 )
                    | ( SY1842 != SY1844 )
                    | ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SY1842 )
                      = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1843 ) @ SY1844 ) ) )
              | ~ ~ ( ~ ! [SY1845: $i] :
                          ( ! [SY1846: $i] :
                              ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SY1842 )
                             != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1845 ) @ SY1846 ) )
                          | ( SV307 = SY1845 ) )
                    | ~ ! [SY1847: $i,SY1848: $i] :
                          ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SY1842 )
                           != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1847 ) @ SY1848 ) )
                          | ( SY1842 = SY1848 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2391]) ).

thf(2737,plain,
    ! [SV308: $i] :
      ( ( ! [SY1849: $i] :
            ~ ( ~ ! [SY1850: $i,SY1851: $i] :
                    ( ( SV308 != SY1850 )
                    | ( SY1849 != SY1851 )
                    | ( ( seq_list_char @ SV308 @ SY1849 )
                      = ( seq_list_char @ SY1850 @ SY1851 ) ) )
              | ~ ~ ( ~ ! [SY1852: $i] :
                          ( ! [SY1853: $i] :
                              ( ( seq_list_char @ SV308 @ SY1849 )
                             != ( seq_list_char @ SY1852 @ SY1853 ) )
                          | ( SV308 = SY1852 ) )
                    | ~ ! [SY1854: $i,SY1855: $i] :
                          ( ( ( seq_list_char @ SV308 @ SY1849 )
                           != ( seq_list_char @ SY1854 @ SY1855 ) )
                          | ( SY1849 = SY1855 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2392]) ).

thf(2738,plain,
    ! [SV309: $i] :
      ( ( ! [SY1856: $i,SY1857: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ! [SY1858: $i] :
                                ( ! [SY1859: $i] :
                                    ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SY1856 @ ( hAPP_val_option_val @ some_val @ SY1857 ) ) @ SY1858 )
                                   != ( hAPP_val_option_val @ some_val @ SY1859 ) )
                                | ( SY1858 = SY1856 )
                                | ( SY1858 != SY1856 ) )
                          | ~ ! [SY1860: $i,SY1861: $i] :
                                ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SY1856 @ ( hAPP_val_option_val @ some_val @ SY1857 ) ) @ SY1860 )
                                 != ( hAPP_val_option_val @ some_val @ SY1861 ) )
                                | ( SY1860 = SY1856 )
                                | ( ( hAPP_l207779698on_val @ SV309 @ SY1860 )
                                  = ( hAPP_val_option_val @ some_val @ SY1861 ) ) ) )
                    | ~ ~ ( ~ ! [SY1862: $i,SY1863: $i] :
                                ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SY1856 @ ( hAPP_val_option_val @ some_val @ SY1857 ) ) @ SY1862 )
                                 != ( hAPP_val_option_val @ some_val @ SY1863 ) )
                                | ( SY1857 = SY1863 )
                                | ( SY1862 != SY1856 ) )
                          | ~ ! [SY1864: $i,SY1865: $i] :
                                ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SY1856 @ ( hAPP_val_option_val @ some_val @ SY1857 ) ) @ SY1864 )
                                 != ( hAPP_val_option_val @ some_val @ SY1865 ) )
                                | ( SY1857 = SY1865 )
                                | ( ( hAPP_l207779698on_val @ SV309 @ SY1864 )
                                  = ( hAPP_val_option_val @ some_val @ SY1865 ) ) ) ) )
              | ~ ~ ( ~ ! [SY1866: $i,SY1867: $i] :
                          ( ( SY1866 != SY1856 )
                          | ( SY1857 != SY1867 )
                          | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SY1856 @ ( hAPP_val_option_val @ some_val @ SY1857 ) ) @ SY1866 )
                            = ( hAPP_val_option_val @ some_val @ SY1867 ) ) )
                    | ~ ! [SY1868: $i,SY1869: $i] :
                          ( ( SY1868 = SY1856 )
                          | ( ( hAPP_l207779698on_val @ SV309 @ SY1868 )
                           != ( hAPP_val_option_val @ some_val @ SY1869 ) )
                          | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SY1856 @ ( hAPP_val_option_val @ some_val @ SY1857 ) ) @ SY1868 )
                            = ( hAPP_val_option_val @ some_val @ SY1869 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2393]) ).

thf(2739,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)],[2394]) ).

thf(2740,plain,
    ! [SV310: $i] :
      ( ( ! [SY1870: $i] :
            ~ ( ~ ! [SY1871: $i] :
                    ( ! [SY1872: $i] :
                        ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV310 ) @ SY1870 )
                       != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1871 ) @ SY1872 ) )
                    | ( SV310 = SY1871 ) )
              | ~ ! [SY1873: $i,SY1874: $i] :
                    ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV310 ) @ SY1870 )
                     != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1873 ) @ SY1874 ) )
                    | ( SY1870 = SY1874 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2395]) ).

thf(2741,plain,
    ! [SV311: $i] :
      ( ( ! [SY1875: $i] :
            ~ ( ~ ! [SY1876: $i,SY1877: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV311 @ SY1875 ) @ SY1876 )
                     != ( hAPP_val_option_val @ some_val @ SY1877 ) )
                    | ( ( hAPP_l207779698on_val @ SY1875 @ SY1876 )
                      = none_val )
                    | ( ( hAPP_l207779698on_val @ SY1875 @ SY1876 )
                      = ( hAPP_val_option_val @ some_val @ SY1877 ) ) )
              | ~ ! [SY1878: $i,SY1879: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV311 @ SY1875 ) @ SY1878 )
                     != ( hAPP_val_option_val @ some_val @ SY1879 ) )
                    | ( ( hAPP_l207779698on_val @ SV311 @ SY1878 )
                      = ( hAPP_val_option_val @ some_val @ SY1879 ) )
                    | ( ( hAPP_l207779698on_val @ SY1875 @ SY1878 )
                      = ( hAPP_val_option_val @ some_val @ SY1879 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2396]) ).

thf(2742,plain,
    ! [SV312: $i] :
      ( ( ! [SY1880: $i] :
            ~ ( ~ ! [SY1881: $i,SY1882: $i] :
                    ( ( SY1882 != SY1881 )
                    | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV312 @ SY1881 @ SY1880 ) @ SY1882 )
                      = SY1880 ) )
              | ~ ! [SY1883: $i,SY1884: $i] :
                    ( ( SY1884 = SY1883 )
                    | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV312 @ SY1883 @ SY1880 ) @ SY1884 )
                      = ( hAPP_P2094403585on_val @ SV312 @ SY1884 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2397]) ).

thf(2743,plain,
    ! [SV313: $i] :
      ( ( ! [SY1885: $i] :
            ~ ( ~ ! [SY1886: $i] :
                    ( ! [SY1887: $i] :
                        ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SY1885 )
                       != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1886 ) @ SY1887 ) )
                    | ( SV313 = SY1886 ) )
              | ~ ! [SY1888: $i,SY1889: $i] :
                    ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SY1885 )
                     != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1888 ) @ SY1889 ) )
                    | ( SY1885 = SY1889 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2398]) ).

thf(2744,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( SX0
              = ( hAPP_val_option_val @ some_val @ ( sK25_Y_1 @ SX0 ) ) )
            | ( SX0 = none_val ) )
      | ~ ! [SX0: $i] :
            ( ( SX0 != none_val )
            | ! [SX1: $i] :
                ( SX0
               != ( hAPP_val_option_val @ some_val @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2399]) ).

thf(2745,plain,
    ! [SV314: $i] :
      ( ( ! [SY1890: $i] :
            ~ ( ~ ! [SY1891: $i,SY1892: $i] :
                    ( ( SY1891 != SY1892 )
                    | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV314 @ SY1892 @ SY1890 ) @ SY1891 )
                      = SY1890 ) )
              | ~ ! [SY1893: $i,SY1894: $i] :
                    ( ( SY1893 = SY1894 )
                    | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV314 @ SY1894 @ SY1890 ) @ SY1893 )
                      = ( hAPP_P2094403585on_val @ SV314 @ SY1893 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2400]) ).

thf(2746,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SX1 @ SX0 ) ) @ ( sK48_SY1152 @ SX1 @ SX0 ) ) ) @ SX1 ) )
                    | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SX1 @ SX0 ) ) @ ( sK48_SY1152 @ SX1 @ SX0 ) ) ) @ SX0 ) ) )
                | ~ ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SX1 @ SX0 ) ) @ ( sK48_SY1152 @ SX1 @ SX0 ) ) ) @ SX1 ) )
                    | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SX1 @ SX0 ) ) @ ( sK48_SY1152 @ SX1 @ SX0 ) ) ) @ SX0 ) ) ) )
            | ( SX1 = SX0 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 != SX0 )
            | ~ ( ~ ! [SX2: $i,SX3: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) ) @ SX1 ) )
                      | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) ) @ SX0 ) ) )
                | ~ ! [SX2: $i,SX3: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) ) @ SX0 ) )
                      | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) ) @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2401]) ).

thf(2747,plain,
    ! [SV315: $i] :
      ( ( ~ ( ~ ! [SY1895: $i,SY1896: $i] :
                  ( ( ( fun_up204312361on_val @ SV315 @ SY1895 @ SY1896 )
                   != SV315 )
                  | ( ( hAPP_P2094403585on_val @ SV315 @ SY1895 )
                    = SY1896 ) )
            | ~ ! [SY1897: $i,SY1898: $i] :
                  ( ( ( hAPP_P2094403585on_val @ SV315 @ SY1897 )
                   != SY1898 )
                  | ( ( fun_up204312361on_val @ SV315 @ SY1897 @ SY1898 )
                    = SV315 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2402]) ).

thf(2748,plain,
    ! [SV316: $i] :
      ( ( ~ ( ~ ! [SY1899: $i,SY1900: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SY1899 ) @ SY1900 ) )
                  | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SY1899 ) @ ( semila751111325l_bool @ SV316 @ SY1900 ) ) ) )
            | ~ ! [SY1901: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SY1901 ) @ SV316 ) )
                  | ! [SY1902: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SY1901 ) @ ( semila751111325l_bool @ SV316 @ SY1902 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2403]) ).

thf(2749,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) )
            | ( SX0 = SX1 ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ( SX0 != SX1 )
                  | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ( SX0 != SX1 )
                  | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2404]) ).

thf(2750,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( SX0 = none_val )
            | ( SX0
              = ( hAPP_val_option_val @ some_val @ ( sK24_Y_1 @ SX0 ) ) ) )
      | ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ( SX0
               != ( hAPP_val_option_val @ some_val @ SX1 ) )
            | ( SX0 != none_val ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2405]) ).

thf(2751,plain,
    ! [SV317: $i] :
      ( ( ! [SY1903: $i] :
            ~ ( ~ ! [SY1904: $i,SY1905: $i] :
                    ( ( SY1904 != SY1905 )
                    | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV317 @ SY1905 @ SY1903 ) @ SY1904 )
                      = SY1903 ) )
              | ~ ! [SY1906: $i,SY1907: $i] :
                    ( ( SY1906 = SY1907 )
                    | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV317 @ SY1907 @ SY1903 ) @ SY1906 )
                      = ( hAPP_l207779698on_val @ SV317 @ SY1906 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2406]) ).

thf(2752,plain,
    ! [SV318: $i] :
      ( ( ~ ( ~ ! [SY1908: $i,SY1909: $i] :
                  ( ( ( hAPP_l207779698on_val @ SY1908 @ SY1909 )
                   != none_val )
                  | ( ( hAPP_l207779698on_val @ SV318 @ SY1909 )
                   != none_val )
                  | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SY1908 ) @ SY1909 )
                    = none_val ) )
            | ~ ~ ( ~ ! [SY1910: $i,SY1911: $i] :
                        ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SY1910 ) @ SY1911 )
                         != none_val )
                        | ( ( hAPP_l207779698on_val @ SY1910 @ SY1911 )
                          = none_val ) )
                  | ~ ! [SY1912: $i,SY1913: $i] :
                        ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SY1912 ) @ SY1913 )
                         != none_val )
                        | ( ( hAPP_l207779698on_val @ SV318 @ SY1913 )
                          = none_val ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2407]) ).

thf(2753,plain,
    ! [SV319: $i] :
      ( ( ! [SY1914: $i,SY1915: $i,SY1916: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1914 ) @ SY1915 ) ) @ ( transi2024712006on_val @ SY1916 ) ) )
            | ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SY1914 ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1914 ) @ ( sK17_Y_1 @ SY1916 @ SY1915 @ SY1914 @ SV319 ) ) ) @ ( transi2024712006on_val @ SY1916 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK17_Y_1 @ SY1916 @ SY1915 @ SY1914 @ SV319 ) ) @ ( sK18_SY1141 @ SY1916 @ SY1915 @ SY1914 @ SV319 ) ) ) @ SY1916 ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK17_Y_1 @ SY1916 @ SY1915 @ SY1914 @ SV319 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK18_SY1141 @ SY1916 @ SY1915 @ SY1914 @ SV319 ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SY1915 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2408]) ).

thf(2754,plain,
    ! [SV320: $i] :
      ( ( ~ ( ~ ! [SY1917: $i,SY1918: $i] :
                  ( ( ( fun_up1149430426on_val @ SV320 @ SY1917 @ SY1918 )
                   != SV320 )
                  | ( ( hAPP_l207779698on_val @ SV320 @ SY1917 )
                    = SY1918 ) )
            | ~ ! [SY1919: $i,SY1920: $i] :
                  ( ( ( hAPP_l207779698on_val @ SV320 @ SY1919 )
                   != SY1920 )
                  | ( ( fun_up1149430426on_val @ SV320 @ SY1919 @ SY1920 )
                    = SV320 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2409]) ).

thf(2755,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK66_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 @ ( sK64_A_1 @ SX0 ) ) @ ( sK65_SY1166 @ SX0 ) ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2410]) ).

thf(2756,plain,
    ! [SV321: $i] :
      ( ( ! [SY1921: $i] :
            ~ ( ~ ! [SY1922: $i] :
                    ( ! [SY1923: $i] :
                        ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV321 ) @ SY1921 )
                       != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1922 ) @ SY1923 ) )
                    | ( SV321 = SY1922 ) )
              | ~ ! [SY1924: $i,SY1925: $i] :
                    ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV321 ) @ SY1921 )
                     != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1924 ) @ SY1925 ) )
                    | ( SY1921 = SY1925 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2411]) ).

thf(2757,plain,
    ! [SV322: $i] :
      ( ( ! [SY1926: $i,SY1927: $i,SY1928: $i,SY1929: $i,SY1930: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1926 ) @ SY1927 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1928 ) @ SY1929 ) ) ) @ ( transi2024712006on_val @ SY1930 ) ) )
            | ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SY1926 ) @ SY1927 ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1926 ) @ SY1927 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SY1930 @ SY1929 @ SY1928 @ SY1927 @ SY1926 @ SV322 ) ) @ ( sK5_SY1128 @ SY1930 @ SY1929 @ SY1928 @ SY1927 @ SY1926 @ SV322 ) ) ) ) @ ( transi2024712006on_val @ SY1930 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SY1930 @ SY1929 @ SY1928 @ SY1927 @ SY1926 @ SV322 ) ) @ ( sK5_SY1128 @ SY1930 @ SY1929 @ SY1928 @ SY1927 @ SY1926 @ SV322 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY1131 @ SY1930 @ SY1929 @ SY1928 @ SY1927 @ SY1926 @ SV322 ) ) @ ( sK7_SY1133 @ SY1930 @ SY1929 @ SY1928 @ SY1927 @ SY1926 @ SV322 ) ) ) ) @ SY1930 ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK4_A_1 @ SY1930 @ SY1929 @ SY1928 @ SY1927 @ SY1926 @ SV322 ) ) @ ( sK5_SY1128 @ SY1930 @ SY1929 @ SY1928 @ SY1927 @ SY1926 @ SV322 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK6_SY1131 @ SY1930 @ SY1929 @ SY1928 @ SY1927 @ SY1926 @ SV322 ) ) @ ( sK7_SY1133 @ SY1930 @ SY1929 @ SY1928 @ SY1927 @ SY1926 @ SV322 ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SY1928 ) @ SY1929 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2412]) ).

thf(2758,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK30_A_1 @ SX0 ) ) @ ( sK31_SY1144 @ 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 @ ( sK29_X1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2413]) ).

thf(2759,plain,
    ! [SV323: $i] :
      ( ( ! [SY1931: $i] :
            ~ ( ~ ! [SY1932: $i,SY1933: $i] :
                    ( ( SV323 != SY1932 )
                    | ( SY1931 != SY1933 )
                    | ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SY1931 )
                      = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1932 ) @ SY1933 ) ) )
              | ~ ~ ( ~ ! [SY1934: $i] :
                          ( ! [SY1935: $i] :
                              ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SY1931 )
                             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1934 ) @ SY1935 ) )
                          | ( SV323 = SY1934 ) )
                    | ~ ! [SY1936: $i,SY1937: $i] :
                          ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SY1931 )
                           != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY1936 ) @ SY1937 ) )
                          | ( SY1931 = SY1937 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2414]) ).

thf(2760,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)],[2415]) ).

thf(2761,plain,
    ! [SV324: $i] :
      ( ( ! [SY1938: $i] :
            ~ ( ~ ~ ( ~ ! [SY1939: $i,SY1940: $i] :
                          ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SY1938 ) @ SY1939 )
                           != ( hAPP_val_option_val @ some_val @ SY1940 ) )
                          | ( ( hAPP_l207779698on_val @ SY1938 @ SY1939 )
                            = none_val )
                          | ( ( hAPP_l207779698on_val @ SY1938 @ SY1939 )
                            = ( hAPP_val_option_val @ some_val @ SY1940 ) ) )
                    | ~ ! [SY1941: $i,SY1942: $i] :
                          ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SY1938 ) @ SY1941 )
                           != ( hAPP_val_option_val @ some_val @ SY1942 ) )
                          | ( ( hAPP_l207779698on_val @ SV324 @ SY1941 )
                            = ( hAPP_val_option_val @ some_val @ SY1942 ) )
                          | ( ( hAPP_l207779698on_val @ SY1938 @ SY1941 )
                            = ( hAPP_val_option_val @ some_val @ SY1942 ) ) ) )
              | ~ ~ ( ~ ! [SY1943: $i,SY1944: $i] :
                          ( ( ( hAPP_l207779698on_val @ SY1938 @ SY1943 )
                           != none_val )
                          | ( ( hAPP_l207779698on_val @ SV324 @ SY1943 )
                           != ( hAPP_val_option_val @ some_val @ SY1944 ) )
                          | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SY1938 ) @ SY1943 )
                            = ( hAPP_val_option_val @ some_val @ SY1944 ) ) )
                    | ~ ! [SY1945: $i,SY1946: $i] :
                          ( ( ( hAPP_l207779698on_val @ SY1938 @ SY1945 )
                           != ( hAPP_val_option_val @ some_val @ SY1946 ) )
                          | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SY1938 ) @ SY1945 )
                            = ( hAPP_val_option_val @ some_val @ SY1946 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2416]) ).

thf(2762,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SX0 @ ( sK3_X_1 @ SX1 @ SX0 ) ) ) @ ( hAPP_list_char_bool @ SX1 @ ( sK3_X_1 @ SX1 @ SX0 ) ) ) )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) )
            | ! [SX2: $i] : ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SX0 @ SX2 ) ) @ ( hAPP_list_char_bool @ SX1 @ SX2 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2417]) ).

thf(2763,plain,
    ! [SV325: $i] :
      ( ( ! [SY1947: $i,SY1948: $i] :
            ~ ( ~ ! [SY1949: $i,SY1950: $i] :
                    ( ~ ( hBOOL @ ( wTrt @ SV325 @ SY1947 @ SY1948 @ SY1949 @ SY1950 ) )
                    | ( hBOOL @ ( wTrt_1 @ SV325 @ SY1947 @ SY1948 @ SY1949 @ SY1950 ) ) )
              | ~ ! [SY1951: $i,SY1952: $i] :
                    ( ~ ( hBOOL @ ( wTrt_1 @ SV325 @ SY1947 @ SY1948 @ SY1951 @ SY1952 ) )
                    | ( hBOOL @ ( wTrt @ SV325 @ SY1947 @ SY1948 @ SY1951 @ SY1952 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2418]) ).

thf(2764,plain,
    ! [SV326: $i] :
      ( ( ! [SY1953: $i,SY1954: $i] :
            ~ ( ~ ! [SY1955: $i,SY1956: $i] :
                    ( ~ ( hBOOL @ ( wTrts @ SV326 @ SY1953 @ SY1954 @ SY1955 @ SY1956 ) )
                    | ( hBOOL @ ( wTrts_1 @ SV326 @ SY1953 @ SY1954 @ SY1955 @ SY1956 ) ) )
              | ~ ! [SY1957: $i,SY1958: $i] :
                    ( ~ ( hBOOL @ ( wTrts_1 @ SV326 @ SY1953 @ SY1954 @ SY1957 @ SY1958 ) )
                    | ( hBOOL @ ( wTrts @ SV326 @ SY1953 @ SY1954 @ SY1957 @ SY1958 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2419]) ).

thf(2765,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK27_A_1 @ SX0 ) ) @ ( sK28_SY1143 @ 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 @ ( sK26_X1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2420]) ).

thf(2766,plain,
    ! [SV327: $i,SV1: $i] :
      ( ( is_bool @ ( hAPP_f1453283057l_bool @ SV1 @ SV327 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2421]) ).

thf(2767,plain,
    ! [SV328: $i,SV2: $i] :
      ( ( ( fun_up1149430426on_val @ SV2 @ SV328 @ ( hAPP_l207779698on_val @ SV2 @ SV328 ) )
        = SV2 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2422]) ).

thf(2768,plain,
    ! [SV329: $i,SV3: $i] :
      ( ( ! [SY1959: $i] :
            ( ( ( hAPP_l207779698on_val @ SV3 @ SV329 )
             != ( hAPP_val_option_val @ some_val @ SY1959 ) )
            | ( ( fun_up1149430426on_val @ SV3 @ SV329 @ ( hAPP_val_option_val @ some_val @ SY1959 ) )
              = SV3 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2423]) ).

thf(2769,plain,
    ! [SV330: $i,SV4: $i] :
      ( ( ! [SY1960: $i] :
            ( ( ( hAPP_P2094403585on_val @ SV4 @ SV330 )
             != ( hAPP_val_option_val @ some_val @ SY1960 ) )
            | ( ( fun_up204312361on_val @ SV4 @ SV330 @ ( hAPP_val_option_val @ some_val @ SY1960 ) )
              = SV4 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2424]) ).

thf(2770,plain,
    ! [SV331: $i,SV5: $i] :
      ( ( ! [SY1961: $i,SY1962: $i,SY1963: $i] :
            ( ( ( fun_up1149430426on_val @ SV5 @ SV331 @ ( hAPP_val_option_val @ some_val @ SY1961 ) )
             != ( fun_up1149430426on_val @ SY1962 @ SV331 @ ( hAPP_val_option_val @ some_val @ SY1963 ) ) )
            | ( SY1961 = SY1963 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2425]) ).

thf(2771,plain,
    ! [SV332: $i,SV6: $i] :
      ( ( ! [SY1964: $i,SY1965: $i,SY1966: $i] :
            ( ( ( fun_up204312361on_val @ SV6 @ SV332 @ ( hAPP_val_option_val @ some_val @ SY1964 ) )
             != ( fun_up204312361on_val @ SY1965 @ SV332 @ ( hAPP_val_option_val @ some_val @ SY1966 ) ) )
            | ( SY1964 = SY1966 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2426]) ).

thf(2772,plain,
    ! [SV7: $i,SV333: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV333 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK74_A_1 @ SV333 @ SV7 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK75_SY1174 @ SV333 @ SV7 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK76_SY1177 @ SV333 @ SV7 ) ) @ ( sK77_SY1179 @ SV333 @ SV7 ) ) ) ) ) )
        | ( hBOOL @ ( hAPP_P282169671l_bool @ SV333 @ SV7 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2427]) ).

thf(2773,plain,
    ! [SV334: $i,SV9: $i] :
      ( ( ! [SY1967: $i] :
            ( ( ( hAPP_l207779698on_val @ SV9 @ SV334 )
             != SY1967 )
            | ( ( fun_up1149430426on_val @ SV9 @ SV334 @ SY1967 )
              = SV9 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2429]) ).

thf(2774,plain,
    ! [SV335: $i,SV10: $i] :
      ( ( ! [SY1968: $i,SY1969: $i] :
            ( ( SY1968 = SY1969 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV10 @ SY1969 @ SV335 ) @ SY1968 )
              = ( hAPP_l207779698on_val @ SV10 @ SY1968 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2430]) ).

thf(2775,plain,
    ! [SV336: $i,SV11: $i] :
      ( ( ! [SY1970: $i,SY1971: $i,SY1972: $i] :
            ( ( SY1971 = SY1972 )
            | ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SY1971 @ SV336 ) @ SY1972 @ SY1970 )
              = ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SY1972 @ SY1970 ) @ SY1971 @ SV336 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2431]) ).

thf(2776,plain,
    ! [SV337: $i,SV12: $i] :
      ( ( ! [SY1973: $i] :
            ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV12 @ SV337 @ SY1973 ) @ SV337 )
            = SY1973 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2432]) ).

thf(2777,plain,
    ! [SV338: $i,SV13: $i] :
      ( ( ! [SY1974: $i,SY1975: $i] :
            ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV13 @ SV338 @ SY1974 ) @ SV338 @ SY1975 )
            = ( fun_up1149430426on_val @ SV13 @ SV338 @ SY1975 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2433]) ).

thf(2778,plain,
    ! [SV16: $i,SV339: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV339 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK52_A_1 @ SV339 @ SV16 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK53_SY1156 @ SV339 @ SV16 ) ) @ ( sK54_SY1158 @ SV339 @ SV16 ) ) ) ) )
        | ( hBOOL @ ( hAPP_P282169671l_bool @ SV339 @ SV16 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2436]) ).

thf(2779,plain,
    ! [SV17: $i,SV340: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV340 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK49_A_1 @ SV340 @ SV17 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK50_SY1153 @ SV340 @ SV17 ) ) @ ( sK51_SY1155 @ SV340 @ SV17 ) ) ) ) )
        | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV340 @ SV17 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2437]) ).

thf(2780,plain,
    ! [SV341: $i,SV24: $i] :
      ( ( ! [SY1976: $i,SY1977: $i,SY1978: $i] :
            ( ! [SY1979: $i,SY1980: $i] :
                ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV24 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV341 ) @ SY1976 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1977 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1978 ) @ SY1979 ) ) ) ) @ ( red @ SY1980 ) ) )
            | ( hBOOL @ ( hext @ SV341 @ SY1978 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2444]) ).

thf(2781,plain,
    ! [SV25: $i,SV342: $i] :
      ( ( ! [SY1981: $i,SY1982: $i,SY1983: $i,SY1984: $i,SY1985: $i,SY1986: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV342 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1981 ) @ SY1982 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1983 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1984 ) @ SY1985 ) ) ) ) @ ( red @ SY1986 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV342 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1981 ) @ ( map_ad325961431ar_val @ SV25 @ SY1982 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1983 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY1984 ) @ ( map_ad325961431ar_val @ SV25 @ SY1985 ) ) ) ) ) @ ( red @ SY1986 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2445]) ).

thf(2782,plain,
    ! [SV26: $i,SV343: $i] :
      ( ( ! [SY1987: $i,SY1988: $i] :
            ( ( ( hAPP_l207779698on_val @ SV343 @ SY1987 )
             != ( hAPP_val_option_val @ some_val @ SY1988 ) )
            | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV26 @ SV343 ) @ SY1987 )
              = ( hAPP_val_option_val @ some_val @ SY1988 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2446]) ).

thf(2783,plain,
    ! [SV27: $i,SV344: $i] :
      ( ( ! [SY1989: $i,SY1990: $i,SY1991: $i,SY1992: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV344 ) @ SY1989 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1990 ) @ SY1991 ) ) ) @ ( red @ SY1992 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV27 @ SV344 ) ) @ SY1989 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV27 @ SY1990 ) ) @ SY1991 ) ) ) @ ( red @ SY1992 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2447]) ).

thf(2784,plain,
    ! [SV28: $i,SV345: $i] :
      ( ( ! [SY1993: $i,SY1994: $i,SY1995: $i,SY1996: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV345 ) @ SY1993 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY1994 ) @ SY1995 ) ) ) @ ( red @ SY1996 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV345 @ SV28 ) ) @ SY1993 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY1994 @ SV28 ) ) @ SY1995 ) ) ) @ ( red @ SY1996 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2448]) ).

thf(2785,plain,
    ! [SV346: $i,SV29: $i] :
      ( ( ! [SY1997: $i,SY1998: $i] :
            ( ( map_ad1185064968ar_val @ SV29 @ ( fun_up204312361on_val @ SV346 @ SY1997 @ ( hAPP_val_option_val @ some_val @ SY1998 ) ) )
            = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ SV29 @ SV346 ) @ SY1997 @ ( hAPP_val_option_val @ some_val @ SY1998 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2449]) ).

thf(2786,plain,
    ! [SV347: $i,SV30: $i] :
      ( ( ! [SY1999: $i,SY2000: $i] :
            ( ( map_ad325961431ar_val @ SV30 @ ( fun_up1149430426on_val @ SV347 @ SY1999 @ ( hAPP_val_option_val @ some_val @ SY2000 ) ) )
            = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ SV30 @ SV347 ) @ SY1999 @ ( hAPP_val_option_val @ some_val @ SY2000 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2450]) ).

thf(2787,plain,
    ! [SV348: $i,SV31: $i] :
      ( ( ! [SY2001: $i,SY2002: $i,SY2003: $i,SY2004: $i] :
            ( ! [T_1_1: $i] :
                ~ ( hBOOL @ ( wTrt_1 @ SY2001 @ SY2002 @ SY2003 @ SY2004 @ T_1_1 ) )
            | ~ ( hBOOL @ ( wTrt_1 @ SY2001 @ SY2002 @ SY2003 @ SV31 @ SV348 ) )
            | ( hBOOL @ ( wTrt_1 @ SY2001 @ SY2002 @ SY2003 @ ( seq_list_char @ SY2004 @ SV31 ) @ SV348 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2451]) ).

thf(2788,plain,
    ! [SV33: $i,SV349: $i] :
      ( ( ! [SY2006: $i,SY2007: $i,SY2008: $i,SY2009: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SV349 @ SY2006 @ SY2007 @ SY2008 @ SY2009 ) )
            | ~ ( hBOOL @ ( hext @ SY2006 @ SV33 ) )
            | ( hBOOL @ ( wTrt_1 @ SV349 @ SV33 @ SY2007 @ SY2008 @ SY2009 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2453]) ).

thf(2789,plain,
    ! [SV34: $i,SV350: $i] :
      ( ( ! [SY2010: $i] :
            ( ~ ( hBOOL @ ( hext @ SV350 @ SY2010 ) )
            | ~ ( hBOOL @ ( hext @ SY2010 @ SV34 ) )
            | ( hBOOL @ ( hext @ SV350 @ SV34 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2454]) ).

thf(2790,plain,
    ! [SV35: $i] :
      ( ( none_val
        = ( hAPP_val_option_val @ some_val @ SV35 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2455]) ).

thf(2791,plain,
    ! [SV36: $i] :
      ( ( ( hAPP_val_option_val @ some_val @ SV36 )
        = none_val )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2456]) ).

thf(2792,plain,
    ! [SV351: $i,SV37: $i] :
      ( ( ! [SY2011: $i] :
            ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV37 @ SV351 @ ( hAPP_val_option_val @ some_val @ SY2011 ) ) @ ( sK23_X_1 @ SY2011 @ SV351 @ SV37 ) )
           != none_val ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2457]) ).

thf(2793,plain,
    ! [SV38: $i,SV352: $i] :
      ( ( ! [SY2012: $i,SY2013: $i,SY2014: $i,SY2015: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV352 ) @ SY2012 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2013 ) @ SY2014 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2015 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV352 @ SV38 ) ) @ SY2012 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY2013 @ SV38 ) ) @ SY2014 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2015 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2458]) ).

thf(2794,plain,
    ! [SV39: $i,SV353: $i] :
      ( ( ! [SY2016: $i,SY2017: $i,SY2018: $i,SY2019: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV353 ) @ SY2016 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2017 ) @ SY2018 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2019 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV39 @ SV353 ) ) @ SY2016 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV39 @ SY2017 ) ) @ SY2018 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2019 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2459]) ).

thf(2795,plain,
    ! [SV40: $i,SV354: $i] :
      ( ( ! [SY2020: $i,SY2021: $i,SY2022: $i,SY2023: $i,SY2024: $i,SY2025: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV354 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2020 ) @ SY2021 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2022 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2023 ) @ SY2024 ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2025 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV354 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2020 ) @ ( map_ad325961431ar_val @ SV40 @ SY2021 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2022 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2023 ) @ ( map_ad325961431ar_val @ SV40 @ SY2024 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2025 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2460]) ).

thf(2796,plain,
    ! [SV355: $i,SV41: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV41 ) @ SV41 ) ) @ ( transi2024712006on_val @ SV355 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2461]) ).

thf(2797,plain,
    ! [SV356: $i,SV42: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV42 ) @ SV356 ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV42 ) @ ( transi2024712006on_val @ SV356 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2462]) ).

thf(2798,plain,
    ! [SV357: $i,SV43: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV43 ) @ SV357 ) )
        | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV357 ) @ SV43 ) )
        | ( SV43 = SV357 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2463]) ).

thf(2799,plain,
    ! [SV44: $i,SV358: $i] :
      ( ( ! [SY2026: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV358 ) @ SY2026 ) )
            | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV44 ) @ SV358 ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV44 ) @ SY2026 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2464]) ).

thf(2800,plain,
    ! [SV359: $i,SV45: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV45 ) @ SV359 ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ ( transi2024712006on_val @ SV45 ) ) @ ( transi2024712006on_val @ SV359 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2465]) ).

thf(2801,plain,
    ! [SV360: $i,SV46: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV46 ) @ SV360 ) )
        | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV360 ) @ ( transi2024712006on_val @ SV46 ) ) )
        | ( ( transi2024712006on_val @ SV360 )
          = ( transi2024712006on_val @ SV46 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2466]) ).

thf(2802,plain,
    ! [SV361: $i,SV47: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV47 ) @ ( transi2024712006on_val @ SV361 ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ ( transi2024712006on_val @ SV47 ) ) @ ( transi2024712006on_val @ SV361 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2467]) ).

thf(2803,plain,
    ! [SV362: $i,SV50: $i] :
      ( ( ( SV50 != SV362 )
        | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV50 ) @ SV362 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2470]) ).

thf(2804,plain,
    ! [SV363: $i,SV51: $i] :
      ( ( ( SV51 != SV363 )
        | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV363 ) @ SV51 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2471]) ).

thf(2805,plain,
    ! [SV52: $i,SV364: $i] :
      ( ( ! [SY2027: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV364 ) @ SY2027 ) )
            | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV52 ) @ SV364 ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV52 ) @ SY2027 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2472]) ).

thf(2806,plain,
    ! [SV53: $i,SV365: $i] :
      ( ( ! [SY2028: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV365 ) @ SY2028 ) )
            | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SY2028 ) @ SV53 ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV365 ) @ SV53 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2473]) ).

thf(2807,plain,
    ! [SV54: $i,SV366: $i] :
      ( ( ! [SY2029: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV366 ) @ SY2029 ) )
            | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV54 ) @ SV366 ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV54 ) @ SY2029 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2474]) ).

thf(2808,plain,
    ! [SV55: $i,SV367: $i] :
      ( ( ! [SY2030: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV367 ) @ SY2030 ) )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY2030 ) @ SV55 ) )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV367 ) @ SV55 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2475]) ).

thf(2809,plain,
    ! [SV56: $i,SV368: $i] :
      ( ( ! [SY2031: $i,SY2032: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV368 ) @ SY2031 ) ) @ SY2032 ) )
            | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2031 ) @ SV56 ) ) @ ( transi2024712006on_val @ SY2032 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV368 ) @ SV56 ) ) @ ( transi2024712006on_val @ SY2032 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2476]) ).

thf(2810,plain,
    ! [SV57: $i,SV369: $i] :
      ( ( ! [SY2033: $i,SY2034: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV369 ) @ SY2033 ) ) @ ( transi2024712006on_val @ SY2034 ) ) )
            | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2033 ) @ SV57 ) ) @ SY2034 ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV369 ) @ SV57 ) ) @ ( transi2024712006on_val @ SY2034 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2477]) ).

thf(2811,plain,
    ! [SV58: $i,SV370: $i] :
      ( ( ! [SY2035: $i,SY2036: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV370 ) @ SY2035 ) ) @ ( transi2024712006on_val @ SY2036 ) ) )
            | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2035 ) @ SV58 ) ) @ ( transi2024712006on_val @ SY2036 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV370 ) @ SV58 ) ) @ ( transi2024712006on_val @ SY2036 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2478]) ).

thf(2812,plain,
    ! [SV59: $i] :
      ( ( ( SV59 = none_val )
        = $true )
      | ( ( SV59
          = ( hAPP_val_option_val @ some_val @ ( sK19_A_1 @ SV59 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2479]) ).

thf(2813,plain,
    ! [SV61: $i,SV371: $i] :
      ( ( ! [SY2037: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV371 ) @ SY2037 ) )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV61 ) @ SV371 ) )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV61 ) @ SY2037 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2481]) ).

thf(2814,plain,
    ! [SV372: $i,SV62: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV62 ) @ SV372 ) )
        | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV372 ) @ SV62 ) )
        | ( SV372 = SV62 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2482]) ).

thf(2815,plain,
    ! [SV63: $i,SV373: $i] :
      ( ( ! [SY2038: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV373 ) @ SY2038 ) )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY2038 ) @ SV63 ) )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV373 ) @ SV63 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2483]) ).

thf(2816,plain,
    ! [SV374: $i,SV64: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV64 ) @ SV374 ) )
        | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV374 ) @ SV64 ) )
        | ( SV64 = SV374 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2484]) ).

thf(2817,plain,
    ! [SV65: $i,SV375: $i] :
      ( ( ! [SY2039: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV375 ) @ SY2039 ) )
            | ( SV375 != SV65 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV65 ) @ SY2039 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2485]) ).

thf(2818,plain,
    ! [SV66: $i,SV376: $i] :
      ( ( ! [SY2040: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV376 ) @ SY2040 ) )
            | ( SY2040 != SV66 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV376 ) @ SV66 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2486]) ).

thf(2819,plain,
    ! [SV67: $i,SV377: $i] :
      ( ( ! [SY2041: $i] :
            ( ( SV377 != SY2041 )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV67 ) @ SY2041 ) )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV67 ) @ SV377 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2487]) ).

thf(2820,plain,
    ! [SV68: $i,SV378: $i] :
      ( ( ! [SY2042: $i] :
            ( ( SV378 != SY2042 )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY2042 ) @ SV68 ) )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV378 ) @ SV68 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2488]) ).

thf(2821,plain,
    ! [SV379: $i,SV69: $i] :
      ( ( ( SV69 != SV379 )
        | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV69 ) @ SV379 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2489]) ).

thf(2822,plain,
    ! [SV380: $i,SV70: $i] :
      ( ( ! [SY2043: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV70 ) @ ( semila751111325l_bool @ SV380 @ SY2043 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV70 ) @ SV380 ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV70 ) @ SY2043 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2490]) ).

thf(2823,plain,
    ! [SV381: $i,SV71: $i] :
      ( ( ! [SY2044: $i] :
            ( ~ ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV71 @ SV381 ) @ SY2044 ) )
            | ( hBOOL @ ( hAPP_list_char_bool @ SV71 @ SY2044 ) )
            | ( hBOOL @ ( hAPP_list_char_bool @ SV381 @ SY2044 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2491]) ).

thf(2824,plain,
    ! [SV382: $i,SV72: $i] :
      ( ( ! [SY2045: $i,SY2046: $i,SY2047: $i,SY2048: $i,SY2049: $i,SY2050: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2046 ) @ SY2047 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2048 ) @ SY2049 ) ) ) @ ( red @ SY2050 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2046 @ SV72 @ SV382 @ SY2045 ) ) @ SY2047 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2048 @ SV72 @ SV382 @ SY2045 ) ) @ SY2049 ) ) ) @ ( red @ SY2050 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2492]) ).

thf(2825,plain,
    ! [SV383: $i,SV73: $i] :
      ( ( ! [SY2051: $i,SY2052: $i,SY2053: $i,SY2054: $i,SY2055: $i,SY2056: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2052 ) @ SY2053 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2054 ) @ SY2055 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2056 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2052 @ SV73 @ SV383 @ SY2051 ) ) @ SY2053 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2054 @ SV73 @ SV383 @ SY2051 ) ) @ SY2055 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2056 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2493]) ).

thf(2826,plain,
    ! [SV384: $i,SV74: $i] :
      ( ( ! [SY2057: $i,SY2058: $i,SY2059: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ ( throw_list_char @ SV74 ) @ SV384 @ SY2057 ) ) @ SY2058 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV74 ) ) @ SY2058 ) ) ) @ ( red @ SY2059 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2494]) ).

thf(2827,plain,
    ! [SV385: $i,SV75: $i] :
      ( ( ! [SY2060: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( throw_list_char @ SV75 ) ) ) @ SV385 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV75 ) ) @ SV385 ) ) ) @ ( red @ SY2060 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2495]) ).

thf(2828,plain,
    ! [SV386: $i,SV76: $i] :
      ( ( ! [SY2061: $i,SY2062: $i,SY2063: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV76 ) @ SV386 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2061 ) @ SY2062 ) ) ) @ ( red @ SY2063 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV76 ) ) @ SV386 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2061 ) ) @ SY2062 ) ) ) @ ( red @ SY2063 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2496]) ).

thf(2829,plain,
    ! [SV387: $i,SV77: $i] :
      ( ( ! [SY2064: $i,SY2065: $i,SY2066: $i,SY2067: $i,SY2068: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2064 ) @ SY2065 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2066 ) @ SY2067 ) ) ) @ ( red @ SY2068 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY2064 @ SV77 @ SV387 ) ) @ SY2065 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY2066 @ SV77 @ SV387 ) ) @ SY2067 ) ) ) @ ( red @ SY2068 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2497]) ).

thf(2830,plain,
    ! [SV388: $i,SV78: $i] :
      ( ( ! [SY2069: $i,SY2070: $i,SY2071: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV78 ) @ SV388 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2069 ) @ SY2070 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2071 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV78 ) ) @ SV388 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2069 ) ) @ SY2070 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2071 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2498]) ).

thf(2831,plain,
    ! [SV389: $i,SV79: $i] :
      ( ( ! [SY2072: $i,SY2073: $i,SY2074: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV79 ) @ SV389 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2072 ) ) @ SY2073 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2074 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV79 ) ) @ SV389 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2072 ) ) @ SY2073 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2074 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2499]) ).

thf(2832,plain,
    ! [SV390: $i,SV80: $i] :
      ( ( ! [SY2075: $i,SY2076: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV80 @ ( throw_list_char @ SV390 ) ) ) @ SY2075 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV390 ) ) @ SY2075 ) ) ) @ ( red @ SY2076 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2500]) ).

thf(2833,plain,
    ! [SV391: $i,SV81: $i] :
      ( ( ! [SY2077: $i,SY2078: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( throw_list_char @ SV81 ) @ SV391 ) ) @ SY2077 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV81 ) ) @ SY2077 ) ) ) @ ( red @ SY2078 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2501]) ).

thf(2834,plain,
    ! [SV392: $i,SV82: $i] :
      ( ( ! [SY2079: $i,SY2080: $i,SY2081: $i,SY2082: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( throw_list_char @ SV82 ) @ SV392 @ SY2079 @ SY2080 ) ) @ SY2081 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV82 ) ) @ SY2081 ) ) ) @ ( red @ SY2082 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2502]) ).

thf(2835,plain,
    ! [SV393: $i,SV83: $i] :
      ( ( ! [SY2083: $i,SY2084: $i,SY2085: $i,SY2086: $i,SY2087: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2083 ) @ SY2084 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2085 ) @ SY2086 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2087 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY2083 @ SV83 @ SV393 ) ) @ SY2084 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY2085 @ SV83 @ SV393 ) ) @ SY2086 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2087 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2503]) ).

thf(2836,plain,
    ! [SV394: $i,SV84: $i] :
      ( ( ! [SY2088: $i,SY2089: $i,SY2090: $i,SY2091: $i,SY2092: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2088 ) @ SY2089 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2090 ) @ SY2091 ) ) ) @ ( red @ SY2092 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY2088 @ SV84 @ SV394 ) ) @ SY2089 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY2090 @ SV84 @ SV394 ) ) @ SY2091 ) ) ) @ ( red @ SY2092 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2504]) ).

thf(2837,plain,
    ! [SV395: $i,SV85: $i] :
      ( ( ! [SY2093: $i,SY2094: $i,SY2095: $i,SY2096: $i,SY2097: $i,SY2098: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2094 ) @ SY2095 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2096 ) @ SY2097 ) ) ) @ ( red @ SY2098 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY2094 @ SV85 @ SV395 @ SY2093 ) ) @ SY2095 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY2096 @ SV85 @ SV395 @ SY2093 ) ) @ SY2097 ) ) ) @ ( red @ SY2098 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2505]) ).

thf(2838,plain,
    ! [SV396: $i,SV86: $i] :
      ( ( ! [SY2099: $i,SY2100: $i,SY2101: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( throw_list_char @ SV86 ) @ SV396 @ SY2099 ) ) @ SY2100 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV86 ) ) @ SY2100 ) ) ) @ ( red @ SY2101 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2506]) ).

thf(2839,plain,
    ! [SV397: $i,SV87: $i] :
      ( ( ! [SY2102: $i,SY2103: $i,SY2104: $i,SY2105: $i,SY2106: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2102 ) @ SY2103 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2104 ) @ SY2105 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2106 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY2102 @ SV87 @ SV397 ) ) @ SY2103 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY2104 @ SV87 @ SV397 ) ) @ SY2105 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2106 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2507]) ).

thf(2840,plain,
    ! [SV398: $i,SV88: $i] :
      ( ( ! [SY2107: $i,SY2108: $i,SY2109: $i,SY2110: $i,SY2111: $i,SY2112: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2108 ) @ SY2109 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2110 ) @ SY2111 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2112 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY2108 @ SV88 @ SV398 @ SY2107 ) ) @ SY2109 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY2110 @ SV88 @ SV398 @ SY2107 ) ) @ SY2111 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2112 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2508]) ).

thf(2841,plain,
    ! [SV89: $i,SV399: $i] :
      ( ( ! [SY2113: $i,SY2114: $i,SY2115: $i,SY2116: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV399 ) @ SY2113 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2114 ) @ SY2115 ) ) ) @ ( red @ SY2116 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV89 @ SV399 ) ) @ SY2113 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV89 @ SY2114 ) ) @ SY2115 ) ) ) @ ( red @ SY2116 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2509]) ).

thf(2842,plain,
    ! [SV400: $i,SV90: $i] :
      ( ( ! [SY2117: $i,SY2118: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV90 @ ( throw_list_char @ SV400 ) ) ) @ SY2117 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV400 ) ) @ SY2117 ) ) ) @ ( red @ SY2118 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2510]) ).

thf(2843,plain,
    ! [SV91: $i,SV401: $i] :
      ( ( ! [SY2119: $i,SY2120: $i,SY2121: $i,SY2122: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV401 ) @ SY2119 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2120 ) @ SY2121 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2122 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV91 @ SV401 ) ) @ SY2119 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV91 @ SY2120 ) ) @ SY2121 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2122 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2511]) ).

thf(2844,plain,
    ! [SV92: $i,SV402: $i] :
      ( ( ~ ( hBOOL @ ( preallocated @ SV402 ) )
        | ~ ( hBOOL @ ( hext @ SV402 @ SV92 ) )
        | ( hBOOL @ ( preallocated @ SV92 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2512]) ).

thf(2845,plain,
    ! [SV403: $i,SV93: $i] :
      ( ( ! [SY2123: $i,SY2124: $i,SY2125: $i,SY2126: $i] :
            ( ! [T_1_1: $i] :
                ~ ( hBOOL @ ( wTrt @ SY2123 @ SY2124 @ SY2125 @ SY2126 @ T_1_1 ) )
            | ~ ( hBOOL @ ( wTrt @ SY2123 @ SY2124 @ SY2125 @ SV93 @ SV403 ) )
            | ( hBOOL @ ( wTrt @ SY2123 @ SY2124 @ SY2125 @ ( seq_list_char @ SY2126 @ SV93 ) @ SV403 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2513]) ).

thf(2846,plain,
    ! [SV404: $i,SV94: $i] :
      ( ( ! [SY2128: $i,SY2129: $i,SY2130: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SV94 @ SV404 @ SY2128 @ SY2129 @ SY2130 ) )
            | ( hBOOL @ ( wTrt @ SV94 @ SV404 @ SY2128 @ SY2129 @ SY2130 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2514]) ).

thf(2847,plain,
    ! [SV405: $i,SV95: $i] :
      ( ( ! [SY2131: $i,SY2132: $i,SY2133: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV95 @ SV405 @ SY2131 @ SY2132 @ SY2133 ) )
            | ( hBOOL @ ( wTrt_1 @ SV95 @ SV405 @ SY2131 @ SY2132 @ SY2133 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2515]) ).

thf(2848,plain,
    ! [SV406: $i,SV96: $i] :
      ( ( ! [SY2134: $i,SY2135: $i,SY2136: $i,SY2137: $i,SY2138: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2134 ) @ SY2135 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2136 ) @ SY2137 ) ) ) @ ( red @ SY2138 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SY2134 @ SV96 @ SV406 ) ) @ SY2135 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SY2136 @ SV96 @ SV406 ) ) @ SY2137 ) ) ) @ ( red @ SY2138 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2516]) ).

thf(2849,plain,
    ! [SV407: $i,SV97: $i] :
      ( ( ! [SY2139: $i,SY2140: $i,SY2141: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ ( throw_list_char @ SV97 ) @ SV407 @ SY2139 ) ) @ SY2140 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV97 ) ) @ SY2140 ) ) ) @ ( red @ SY2141 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2517]) ).

thf(2850,plain,
    ! [SV408: $i,SV98: $i] :
      ( ( ! [SY2142: $i,SY2143: $i,SY2144: $i,SY2145: $i,SY2146: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2142 ) @ SY2143 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2144 ) @ SY2145 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2146 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SY2142 @ SV98 @ SV408 ) ) @ SY2143 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SY2144 @ SV98 @ SV408 ) ) @ SY2145 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2146 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2518]) ).

thf(2851,plain,
    ! [SV409: $i,SV99: $i] :
      ( ( ! [SY2147: $i,SY2148: $i,SY2149: $i,SY2150: $i,SY2151: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2147 ) @ SY2148 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2149 ) @ SY2150 ) ) ) @ ( red @ SY2151 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SY2147 @ SV99 @ SV409 ) ) @ SY2148 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SY2149 @ SV99 @ SV409 ) ) @ SY2150 ) ) ) @ ( red @ SY2151 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2519]) ).

thf(2852,plain,
    ! [SV410: $i,SV100: $i] :
      ( ( ! [SY2152: $i,SY2153: $i,SY2154: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ ( throw_list_char @ SV100 ) @ SV410 @ SY2152 ) ) @ SY2153 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV100 ) ) @ SY2153 ) ) ) @ ( red @ SY2154 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2520]) ).

thf(2853,plain,
    ! [SV411: $i,SV101: $i] :
      ( ( ! [SY2155: $i,SY2156: $i,SY2157: $i,SY2158: $i,SY2159: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2155 ) @ SY2156 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2157 ) @ SY2158 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2159 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SY2155 @ SV101 @ SV411 ) ) @ SY2156 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SY2157 @ SV101 @ SV411 ) ) @ SY2158 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2159 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2521]) ).

thf(2854,plain,
    ! [SV102: $i,SV412: $i] :
      ( ( ! [SY2160: $i,SY2161: $i,SY2162: $i,SY2163: $i] :
            ( ~ ( hBOOL @ ( wTrts_1 @ SV412 @ SY2160 @ SY2161 @ SY2162 @ SY2163 ) )
            | ~ ( hBOOL @ ( hext @ SY2160 @ SV102 ) )
            | ( hBOOL @ ( wTrts_1 @ SV412 @ SV102 @ SY2161 @ SY2162 @ SY2163 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2522]) ).

thf(2855,plain,
    ! [SV413: $i,SV103: $i] :
      ( ( ! [SY2164: $i,SY2165: $i,SY2166: $i] :
            ( ~ ( hBOOL @ ( wTrts @ SV103 @ SV413 @ SY2164 @ SY2165 @ SY2166 ) )
            | ( hBOOL @ ( wTrts_1 @ SV103 @ SV413 @ SY2164 @ SY2165 @ SY2166 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2523]) ).

thf(2856,plain,
    ! [SV414: $i,SV104: $i] :
      ( ( ! [SY2167: $i,SY2168: $i,SY2169: $i] :
            ( ~ ( hBOOL @ ( wTrts_1 @ SV104 @ SV414 @ SY2167 @ SY2168 @ SY2169 ) )
            | ( hBOOL @ ( wTrts @ SV104 @ SV414 @ SY2167 @ SY2168 @ SY2169 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2524]) ).

thf(2857,plain,
    ! [SV105: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ fNot @ SV105 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ SV105 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2525]) ).

thf(2858,plain,
    ! [SV106: $i] :
      ( ( ( hBOOL @ SV106 )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ fNot @ SV106 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2526]) ).

thf(2859,plain,
    ! [SV415: $i,SV109: $i] :
      ( ( ! [SY2170: $i,SY2171: $i] : ( is_bool @ ( conf_P373316194t_char @ SV109 @ SV415 @ SY2170 @ SY2171 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2530]) ).

thf(2860,plain,
    ! [SV416: $i,SV110: $i] :
      ( ( is_bool @ ( d_list_char @ SV110 @ SV416 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2531]) ).

thf(2861,plain,
    ! [SV417: $i,SV113: $i] :
      ( ( ! [SY2172: $i] : ( is_bool @ ( list_all2_ty_ty @ SV113 @ SV417 @ SY2172 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2534]) ).

thf(2862,plain,
    ! [SV418: $i,SV114: $i] :
      ( ( is_bool @ ( hext @ SV114 @ SV418 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2535]) ).

thf(2863,plain,
    ! [SV419: $i,SV115: $i] :
      ( ( ! [SY2173: $i,SY2174: $i,SY2175: $i] : ( is_bool @ ( wTrt @ SV115 @ SV419 @ SY2173 @ SY2174 @ SY2175 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2536]) ).

thf(2864,plain,
    ! [SV420: $i,SV116: $i] :
      ( ( ! [SY2176: $i,SY2177: $i,SY2178: $i] : ( is_bool @ ( wTrts @ SV116 @ SV420 @ SY2176 @ SY2177 @ SY2178 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2537]) ).

thf(2865,plain,
    ! [SV421: $i,SV117: $i] :
      ( ( is_bool @ ( assigned @ SV117 @ SV421 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2538]) ).

thf(2866,plain,
    ! [SV422: $i,SV118: $i] :
      ( ( ! [SY2179: $i] : ( is_bool @ ( fields1147507508t_char @ SV118 @ SV422 @ SY2179 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2539]) ).

thf(2867,plain,
    ! [SV423: $i,SV120: $i] :
      ( ( is_bool @ ( wf_pro755087577t_char @ SV120 @ SV423 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2541]) ).

thf(2868,plain,
    ! [SV424: $i,SV121: $i] :
      ( ( ! [SY2180: $i,SY2181: $i,SY2182: $i] : ( is_bool @ ( wTrt_1 @ SV121 @ SV424 @ SY2180 @ SY2181 @ SY2182 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2542]) ).

thf(2869,plain,
    ! [SV425: $i,SV122: $i] :
      ( ( ! [SY2183: $i,SY2184: $i,SY2185: $i] : ( is_bool @ ( wTrts_1 @ SV122 @ SV425 @ SY2183 @ SY2184 @ SY2185 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2543]) ).

thf(2870,plain,
    ! [SV426: $i,SV123: $i] :
      ( ( is_bool @ ( hAPP_e544220455r_bool @ SV123 @ SV426 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2544]) ).

thf(2871,plain,
    ! [SV124: $i,SV427: $i] :
      ( ( ~ ( is_bool @ SV427 )
        | ( is_bool @ ( hAPP_bool_bool @ SV124 @ SV427 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2545]) ).

thf(2872,plain,
    ! [SV428: $i,SV125: $i] :
      ( ( is_bool @ ( hAPP_list_char_bool @ SV125 @ SV428 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2546]) ).

thf(2873,plain,
    ! [SV429: $i,SV126: $i] :
      ( ( is_bool @ ( hAPP_l902158906r_bool @ SV126 @ SV429 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2547]) ).

thf(2874,plain,
    ! [SV430: $i,SV127: $i] :
      ( ( is_bool @ ( hAPP_nat_bool @ SV127 @ SV430 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2548]) ).

thf(2875,plain,
    ! [SV431: $i,SV128: $i] :
      ( ( is_bool @ ( hAPP_option_ty_bool @ SV128 @ SV431 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2549]) ).

thf(2876,plain,
    ! [SV432: $i,SV129: $i] :
      ( ( is_bool @ ( hAPP_option_val_bool @ SV129 @ SV432 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2550]) ).

thf(2877,plain,
    ! [SV433: $i,SV130: $i] :
      ( ( is_bool @ ( hAPP_o2007402111l_bool @ SV130 @ SV433 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2551]) ).

thf(2878,plain,
    ! [SV434: $i,SV131: $i] :
      ( ( is_bool @ ( hAPP_ty_bool @ SV131 @ SV434 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2552]) ).

thf(2879,plain,
    ! [SV435: $i,SV132: $i] :
      ( ( is_bool @ ( hAPP_val_bool @ SV132 @ SV435 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2553]) ).

thf(2880,plain,
    ! [SV436: $i,SV133: $i] :
      ( ( is_bool @ ( hAPP_f1776070952l_bool @ SV133 @ SV436 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2554]) ).

thf(2881,plain,
    ! [SV437: $i,SV134: $i] :
      ( ( is_bool @ ( hAPP_f570766339l_bool @ SV134 @ SV437 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2555]) ).

thf(2882,plain,
    ! [SV438: $i,SV135: $i] :
      ( ( is_bool @ ( hAPP_f2041029616l_bool @ SV135 @ SV438 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2556]) ).

thf(2883,plain,
    ! [SV439: $i,SV136: $i] :
      ( ( is_bool @ ( hAPP_f539072365l_bool @ SV136 @ SV439 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2557]) ).

thf(2884,plain,
    ! [SV440: $i,SV137: $i] :
      ( ( is_bool @ ( hAPP_f998390560l_bool @ SV137 @ SV440 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2558]) ).

thf(2885,plain,
    ! [SV441: $i,SV138: $i] :
      ( ( is_bool @ ( hAPP_f986089162l_bool @ SV138 @ SV441 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2559]) ).

thf(2886,plain,
    ! [SV442: $i,SV139: $i] :
      ( ( is_bool @ ( hAPP_f1001225811y_bool @ SV139 @ SV442 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2560]) ).

thf(2887,plain,
    ! [SV443: $i,SV140: $i] :
      ( ( is_bool @ ( hAPP_f1033709212l_bool @ SV140 @ SV443 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2561]) ).

thf(2888,plain,
    ! [SV444: $i,SV141: $i] :
      ( ( is_bool @ ( hAPP_f1776419603l_bool @ SV141 @ SV444 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2562]) ).

thf(2889,plain,
    ! [SV445: $i,SV142: $i] :
      ( ( is_bool @ ( hAPP_f678833350l_bool @ SV142 @ SV445 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2563]) ).

thf(2890,plain,
    ! [SV446: $i,SV143: $i] :
      ( ( is_bool @ ( hAPP_f1795246582l_bool @ SV143 @ SV446 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2564]) ).

thf(2891,plain,
    ! [SV447: $i,SV144: $i] :
      ( ( is_bool @ ( hAPP_f1931964053l_bool @ SV144 @ SV447 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2565]) ).

thf(2892,plain,
    ! [SV448: $i,SV145: $i] :
      ( ( is_bool @ ( hAPP_f1520735791l_bool @ SV145 @ SV448 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2566]) ).

thf(2893,plain,
    ! [SV449: $i,SV146: $i] :
      ( ( is_bool @ ( hAPP_f1889282162l_bool @ SV146 @ SV449 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2567]) ).

thf(2894,plain,
    ! [SV450: $i,SV147: $i] :
      ( ( is_bool @ ( hAPP_f1118567467l_bool @ SV147 @ SV450 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2568]) ).

thf(2895,plain,
    ! [SV451: $i,SV148: $i] :
      ( ( is_bool @ ( hAPP_f1409772418l_bool @ SV148 @ SV451 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2569]) ).

thf(2896,plain,
    ! [SV452: $i,SV149: $i] :
      ( ( is_bool @ ( hAPP_f54304608l_bool @ SV149 @ SV452 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2570]) ).

thf(2897,plain,
    ! [SV453: $i,SV150: $i] :
      ( ( is_bool @ ( hAPP_f61040418l_bool @ SV150 @ SV453 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2571]) ).

thf(2898,plain,
    ! [SV454: $i,SV151: $i] :
      ( ( is_bool @ ( hAPP_f2071159779l_bool @ SV151 @ SV454 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2572]) ).

thf(2899,plain,
    ! [SV455: $i,SV152: $i] :
      ( ( is_bool @ ( hAPP_f1450446905l_bool @ SV152 @ SV455 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2573]) ).

thf(2900,plain,
    ! [SV456: $i,SV153: $i] :
      ( ( is_bool @ ( hAPP_f742333458l_bool @ SV153 @ SV456 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2574]) ).

thf(2901,plain,
    ! [SV457: $i,SV154: $i] :
      ( ( is_bool @ ( hAPP_f588675559l_bool @ SV154 @ SV457 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2575]) ).

thf(2902,plain,
    ! [SV458: $i,SV155: $i] :
      ( ( is_bool @ ( hAPP_f91506671l_bool @ SV155 @ SV458 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2576]) ).

thf(2903,plain,
    ! [SV459: $i,SV156: $i] :
      ( ( is_bool @ ( hAPP_f434955681l_bool @ SV156 @ SV459 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2577]) ).

thf(2904,plain,
    ! [SV460: $i,SV157: $i] :
      ( ( is_bool @ ( hAPP_f1734260017l_bool @ SV157 @ SV460 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2578]) ).

thf(2905,plain,
    ! [SV461: $i,SV158: $i] :
      ( ( is_bool @ ( hAPP_f837795298l_bool @ SV158 @ SV461 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2579]) ).

thf(2906,plain,
    ! [SV462: $i,SV159: $i] :
      ( ( is_bool @ ( hAPP_f861853459l_bool @ SV159 @ SV462 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2580]) ).

thf(2907,plain,
    ! [SV463: $i,SV160: $i] :
      ( ( is_bool @ ( hAPP_f82569901l_bool @ SV160 @ SV463 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2581]) ).

thf(2908,plain,
    ! [SV464: $i,SV161: $i] :
      ( ( is_bool @ ( hAPP_f479632753l_bool @ SV161 @ SV464 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2582]) ).

thf(2909,plain,
    ! [SV465: $i,SV162: $i] :
      ( ( is_bool @ ( hAPP_f1780084320l_bool @ SV162 @ SV465 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2583]) ).

thf(2910,plain,
    ! [SV466: $i,SV163: $i] :
      ( ( is_bool @ ( hAPP_f2106398425l_bool @ SV163 @ SV466 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2584]) ).

thf(2911,plain,
    ! [SV467: $i,SV164: $i] :
      ( ( is_bool @ ( hAPP_f1715346603l_bool @ SV164 @ SV467 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2585]) ).

thf(2912,plain,
    ! [SV468: $i,SV165: $i] :
      ( ( is_bool @ ( hAPP_f1134950784l_bool @ SV165 @ SV468 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2586]) ).

thf(2913,plain,
    ! [SV469: $i,SV166: $i] :
      ( ( is_bool @ ( hAPP_f515912112l_bool @ SV166 @ SV469 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2587]) ).

thf(2914,plain,
    ! [SV470: $i,SV167: $i] :
      ( ( is_bool @ ( hAPP_f483496539l_bool @ SV167 @ SV470 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2588]) ).

thf(2915,plain,
    ! [SV471: $i,SV168: $i] :
      ( ( is_bool @ ( hAPP_f2050077417l_bool @ SV168 @ SV471 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2589]) ).

thf(2916,plain,
    ! [SV472: $i,SV169: $i] :
      ( ( is_bool @ ( hAPP_f433445541l_bool @ SV169 @ SV472 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2590]) ).

thf(2917,plain,
    ! [SV473: $i,SV170: $i] :
      ( ( is_bool @ ( hAPP_f1746574980l_bool @ SV170 @ SV473 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2591]) ).

thf(2918,plain,
    ! [SV474: $i,SV171: $i] :
      ( ( is_bool @ ( hAPP_f1314764175l_bool @ SV171 @ SV474 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2592]) ).

thf(2919,plain,
    ! [SV475: $i,SV172: $i] :
      ( ( is_bool @ ( hAPP_f348753975l_bool @ SV172 @ SV475 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2593]) ).

thf(2920,plain,
    ! [SV476: $i,SV173: $i] :
      ( ( is_bool @ ( hAPP_f288221747l_bool @ SV173 @ SV476 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2594]) ).

thf(2921,plain,
    ! [SV477: $i,SV174: $i] :
      ( ( is_bool @ ( hAPP_f1161798306l_bool @ SV174 @ SV477 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2595]) ).

thf(2922,plain,
    ! [SV478: $i,SV175: $i] :
      ( ( is_bool @ ( hAPP_f1748390065l_bool @ SV175 @ SV478 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2596]) ).

thf(2923,plain,
    ! [SV479: $i,SV176: $i] :
      ( ( is_bool @ ( hAPP_f2028441009l_bool @ SV176 @ SV479 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2597]) ).

thf(2924,plain,
    ! [SV480: $i,SV177: $i] :
      ( ( is_bool @ ( hAPP_f1661305905l_bool @ SV177 @ SV480 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2598]) ).

thf(2925,plain,
    ! [SV481: $i,SV178: $i] :
      ( ( is_bool @ ( hAPP_f966411375l_bool @ SV178 @ SV481 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2599]) ).

thf(2926,plain,
    ! [SV482: $i,SV179: $i] :
      ( ( is_bool @ ( hAPP_f1754555101l_bool @ SV179 @ SV482 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2600]) ).

thf(2927,plain,
    ! [SV483: $i,SV180: $i] :
      ( ( is_bool @ ( hAPP_f983152497l_bool @ SV180 @ SV483 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2601]) ).

thf(2928,plain,
    ! [SV484: $i,SV181: $i] :
      ( ( is_bool @ ( hAPP_f126136681l_bool @ SV181 @ SV484 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2602]) ).

thf(2929,plain,
    ! [SV485: $i,SV182: $i] :
      ( ( is_bool @ ( hAPP_f458849545l_bool @ SV182 @ SV485 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2603]) ).

thf(2930,plain,
    ! [SV486: $i,SV183: $i] :
      ( ( is_bool @ ( hAPP_f595031537l_bool @ SV183 @ SV486 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2604]) ).

thf(2931,plain,
    ! [SV487: $i,SV184: $i] :
      ( ( is_bool @ ( hAPP_f528956081l_bool @ SV184 @ SV487 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2605]) ).

thf(2932,plain,
    ! [SV488: $i,SV185: $i] :
      ( ( is_bool @ ( hAPP_f851858423l_bool @ SV185 @ SV488 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2606]) ).

thf(2933,plain,
    ! [SV489: $i,SV186: $i] :
      ( ( is_bool @ ( hAPP_f665343921l_bool @ SV186 @ SV489 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2607]) ).

thf(2934,plain,
    ! [SV490: $i,SV187: $i] :
      ( ( is_bool @ ( hAPP_f538118321l_bool @ SV187 @ SV490 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2608]) ).

thf(2935,plain,
    ! [SV491: $i,SV188: $i] :
      ( ( is_bool @ ( hAPP_f272179441l_bool @ SV188 @ SV491 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2609]) ).

thf(2936,plain,
    ! [SV492: $i,SV189: $i] :
      ( ( is_bool @ ( hAPP_f258424141l_bool @ SV189 @ SV492 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2610]) ).

thf(2937,plain,
    ! [SV493: $i,SV190: $i] :
      ( ( is_bool @ ( hAPP_f1145574243l_bool @ SV190 @ SV493 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2611]) ).

thf(2938,plain,
    ! [SV494: $i,SV191: $i] :
      ( ( is_bool @ ( hAPP_f126445617l_bool @ SV191 @ SV494 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2612]) ).

thf(2939,plain,
    ! [SV495: $i,SV192: $i] :
      ( ( is_bool @ ( hAPP_f2129782055l_bool @ SV192 @ SV495 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2613]) ).

thf(2940,plain,
    ! [SV496: $i,SV193: $i] :
      ( ( is_bool @ ( hAPP_f1297673713l_bool @ SV193 @ SV496 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2614]) ).

thf(2941,plain,
    ! [SV497: $i,SV194: $i] :
      ( ( is_bool @ ( hAPP_f1261741735l_bool @ SV194 @ SV497 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2615]) ).

thf(2942,plain,
    ! [SV498: $i,SV195: $i] :
      ( ( is_bool @ ( hAPP_f1980787287l_bool @ SV195 @ SV498 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2616]) ).

thf(2943,plain,
    ! [SV499: $i,SV196: $i] :
      ( ( is_bool @ ( hAPP_P943837928l_bool @ SV196 @ SV499 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2617]) ).

thf(2944,plain,
    ! [SV500: $i,SV197: $i] :
      ( ( is_bool @ ( hAPP_P1632759357r_bool @ SV197 @ SV500 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2618]) ).

thf(2945,plain,
    ! [SV501: $i,SV198: $i] :
      ( ( is_bool @ ( hAPP_P1708370145l_bool @ SV198 @ SV501 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2619]) ).

thf(2946,plain,
    ! [SV502: $i,SV199: $i] :
      ( ( is_bool @ ( hAPP_P499022727r_bool @ SV199 @ SV502 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2620]) ).

thf(2947,plain,
    ! [SV503: $i,SV200: $i] :
      ( ( is_bool @ ( hAPP_P71593144l_bool @ SV200 @ SV503 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2621]) ).

thf(2948,plain,
    ! [SV504: $i,SV201: $i] :
      ( ( is_bool @ ( hAPP_P2014166431r_bool @ SV201 @ SV504 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2622]) ).

thf(2949,plain,
    ! [SV505: $i,SV202: $i] :
      ( ( is_bool @ ( hAPP_P476431815r_bool @ SV202 @ SV505 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2623]) ).

thf(2950,plain,
    ! [SV506: $i,SV203: $i] :
      ( ( is_bool @ ( hAPP_P92196306r_bool @ SV203 @ SV506 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2624]) ).

thf(2951,plain,
    ! [SV507: $i,SV204: $i] :
      ( ( is_bool @ ( hAPP_P449474095r_bool @ SV204 @ SV507 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2625]) ).

thf(2952,plain,
    ! [SV508: $i,SV205: $i] :
      ( ( is_bool @ ( hAPP_P748443392y_bool @ SV205 @ SV508 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2626]) ).

thf(2953,plain,
    ! [SV509: $i,SV206: $i] :
      ( ( is_bool @ ( hAPP_P1235399154l_bool @ SV206 @ SV509 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2627]) ).

thf(2954,plain,
    ! [SV510: $i,SV207: $i] :
      ( ( is_bool @ ( hAPP_P1680401186r_bool @ SV207 @ SV510 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2628]) ).

thf(2955,plain,
    ! [SV511: $i,SV208: $i] :
      ( ( is_bool @ ( hAPP_P1384137393r_bool @ SV208 @ SV511 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2629]) ).

thf(2956,plain,
    ! [SV512: $i,SV209: $i] :
      ( ( is_bool @ ( hAPP_P659547099r_bool @ SV209 @ SV512 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2630]) ).

thf(2957,plain,
    ! [SV513: $i,SV210: $i] :
      ( ( is_bool @ ( hAPP_P1574824955y_bool @ SV210 @ SV513 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2631]) ).

thf(2958,plain,
    ! [SV514: $i,SV211: $i] :
      ( ( is_bool @ ( hAPP_P1907982426r_bool @ SV211 @ SV514 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2632]) ).

thf(2959,plain,
    ! [SV515: $i,SV212: $i] :
      ( ( is_bool @ ( hAPP_P1187139874r_bool @ SV212 @ SV515 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2633]) ).

thf(2960,plain,
    ! [SV516: $i,SV213: $i] :
      ( ( is_bool @ ( hAPP_P2118621157r_bool @ SV213 @ SV516 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2634]) ).

thf(2961,plain,
    ! [SV517: $i,SV214: $i] :
      ( ( is_bool @ ( hAPP_P2115985549l_bool @ SV214 @ SV517 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2635]) ).

thf(2962,plain,
    ! [SV518: $i,SV215: $i] :
      ( ( is_bool @ ( hAPP_P2053453961y_bool @ SV215 @ SV518 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2636]) ).

thf(2963,plain,
    ! [SV519: $i,SV216: $i] :
      ( ( is_bool @ ( hAPP_P828904212r_bool @ SV216 @ SV519 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2637]) ).

thf(2964,plain,
    ! [SV520: $i,SV217: $i] :
      ( ( is_bool @ ( hAPP_P1926698759r_bool @ SV217 @ SV520 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2638]) ).

thf(2965,plain,
    ! [SV521: $i,SV218: $i] :
      ( ( is_bool @ ( hAPP_P929938951l_bool @ SV218 @ SV521 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2639]) ).

thf(2966,plain,
    ! [SV522: $i,SV219: $i] :
      ( ( is_bool @ ( hAPP_P468446343l_bool @ SV219 @ SV522 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2640]) ).

thf(2967,plain,
    ! [SV523: $i,SV220: $i] :
      ( ( is_bool @ ( hAPP_P159683425l_bool @ SV220 @ SV523 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2641]) ).

thf(2968,plain,
    ! [SV524: $i,SV221: $i] :
      ( ( is_bool @ ( hAPP_P2077557811l_bool @ SV221 @ SV524 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2642]) ).

thf(2969,plain,
    ! [SV525: $i,SV222: $i] :
      ( ( is_bool @ ( hAPP_P504978887l_bool @ SV222 @ SV525 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2643]) ).

thf(2970,plain,
    ! [SV526: $i,SV223: $i] :
      ( ( is_bool @ ( hAPP_P738987199l_bool @ SV223 @ SV526 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2644]) ).

thf(2971,plain,
    ! [SV527: $i,SV224: $i] :
      ( ( is_bool @ ( hAPP_P282169671l_bool @ SV224 @ SV527 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2645]) ).

thf(2972,plain,
    ! [SV528: $i,SV225: $i] :
      ( ( is_bool @ ( hAPP_P1333315679l_bool @ SV225 @ SV528 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2646]) ).

thf(2973,plain,
    ! [SV529: $i,SV226: $i] :
      ( ( is_bool @ ( hAPP_P1002912327r_bool @ SV226 @ SV529 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2647]) ).

thf(2974,plain,
    ! [SV530: $i,SV227: $i] :
      ( ( is_bool @ ( hAPP_P824029447r_bool @ SV227 @ SV530 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2648]) ).

thf(2975,plain,
    ! [SV531: $i,SV228: $i] :
      ( ( is_bool @ ( hAPP_P27757617y_bool @ SV228 @ SV531 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2649]) ).

thf(2976,plain,
    ! [SV532: $i,SV229: $i] :
      ( ( is_bool @ ( hAPP_P2010574925r_bool @ SV229 @ SV532 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2650]) ).

thf(2977,plain,
    ! [SV533: $i,SV230: $i] :
      ( ( is_bool @ ( hAPP_P124632071l_bool @ SV230 @ SV533 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2651]) ).

thf(2978,plain,
    ! [SV534: $i,SV231: $i] :
      ( ( is_bool @ ( hAPP_P975284999r_bool @ SV231 @ SV534 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2652]) ).

thf(2979,plain,
    ! [SV535: $i,SV232: $i] :
      ( ( is_bool @ ( hAPP_P929449287r_bool @ SV232 @ SV535 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2653]) ).

thf(2980,plain,
    ! [SV536: $i,SV233: $i] :
      ( ( is_bool @ ( hAPP_P1240100515r_bool @ SV233 @ SV536 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2654]) ).

thf(2981,plain,
    ! [SV537: $i,SV234: $i] :
      ( ( is_bool @ ( hAPP_P1183499705r_bool @ SV234 @ SV537 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2655]) ).

thf(2982,plain,
    ! [SV538: $i,SV235: $i] :
      ( ( is_bool @ ( hAPP_P801803911r_bool @ SV235 @ SV538 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2656]) ).

thf(2983,plain,
    ! [SV539: $i,SV236: $i] :
      ( ( is_bool @ ( hAPP_P2123002749l_bool @ SV236 @ SV539 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2657]) ).

thf(2984,plain,
    ! [SV540: $i,SV237: $i] :
      ( ( is_bool @ ( hAPP_P1221872711l_bool @ SV237 @ SV540 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2658]) ).

thf(2985,plain,
    ! [SV541: $i,SV238: $i] :
      ( ( is_bool @ ( hAPP_P378063101l_bool @ SV238 @ SV541 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2659]) ).

thf(2986,plain,
    ! [SV542: $i,SV239: $i] :
      ( ( is_bool @ ( hAPP_P2028072621l_bool @ SV239 @ SV542 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2660]) ).

thf(2987,plain,
    ! [SV543: $i,SV240: $i] :
      ( ( ( fun_up204312361on_val @ SV240 @ SV543 @ ( hAPP_P2094403585on_val @ SV240 @ SV543 ) )
        = SV240 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2661]) ).

thf(2988,plain,
    ! [SV544: $i,SV241: $i] :
      ( ( ! [SY2186: $i] :
            ( ( ( hAPP_P2094403585on_val @ SV241 @ SV544 )
             != SY2186 )
            | ( ( fun_up204312361on_val @ SV241 @ SV544 @ SY2186 )
              = SV241 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2662]) ).

thf(2989,plain,
    ! [SV545: $i,SV242: $i] :
      ( ( ! [SY2187: $i,SY2188: $i] :
            ( ( SY2187 = SY2188 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV242 @ SY2188 @ SV545 ) @ SY2187 )
              = ( hAPP_P2094403585on_val @ SV242 @ SY2187 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2663]) ).

thf(2990,plain,
    ! [SV546: $i,SV243: $i] :
      ( ( ! [SY2189: $i,SY2190: $i,SY2191: $i] :
            ( ( SY2190 = SY2191 )
            | ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV243 @ SY2190 @ SV546 ) @ SY2191 @ SY2189 )
              = ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV243 @ SY2191 @ SY2189 ) @ SY2190 @ SV546 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2664]) ).

thf(2991,plain,
    ! [SV547: $i,SV244: $i] :
      ( ( ! [SY2192: $i] :
            ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV244 @ SV547 @ SY2192 ) @ SV547 )
            = SY2192 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2665]) ).

thf(2992,plain,
    ! [SV548: $i,SV245: $i] :
      ( ( ! [SY2193: $i,SY2194: $i] :
            ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV245 @ SV548 @ SY2193 ) @ SV548 @ SY2194 )
            = ( fun_up204312361on_val @ SV245 @ SV548 @ SY2194 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2666]) ).

thf(2993,plain,
    ! [SV549: $i,SV246: $i] :
      ( ( ! [SY2195: $i] :
            ( ( map_ad325961431ar_val @ SV246 @ ( map_ad325961431ar_val @ SV549 @ SY2195 ) )
            = ( map_ad325961431ar_val @ ( map_ad325961431ar_val @ SV246 @ SV549 ) @ SY2195 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2667]) ).

thf(2994,plain,
    ! [SV550: $i,SV247: $i] :
      ( ( ! [SY2196: $i,SY2197: $i,SY2198: $i] :
            ( ( block_list_char @ SV247 @ SV550 @ SY2196 )
           != ( lAss_list_char @ SY2197 @ SY2198 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2668]) ).

thf(2995,plain,
    ! [SV551: $i,SV248: $i] :
      ( ( ! [SY2199: $i,SY2200: $i,SY2201: $i] :
            ( ( block_list_char @ SV248 @ SV551 @ SY2199 )
           != ( seq_list_char @ SY2200 @ SY2201 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2669]) ).

thf(2996,plain,
    ! [SV552: $i,SV249: $i] :
      ( ( ! [SY2202: $i,SY2203: $i,SY2204: $i] :
            ( ( lAss_list_char @ SV249 @ SV552 )
           != ( block_list_char @ SY2202 @ SY2203 @ SY2204 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2670]) ).

thf(2997,plain,
    ! [SV553: $i,SV250: $i] :
      ( ( ! [SY2205: $i,SY2206: $i] :
            ( ( seq_list_char @ SV250 @ SV553 )
           != ( lAss_list_char @ SY2205 @ SY2206 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2671]) ).

thf(2998,plain,
    ! [SV554: $i,SV251: $i] :
      ( ( ! [SY2207: $i,SY2208: $i] :
            ( ( lAss_list_char @ SV251 @ SV554 )
           != ( seq_list_char @ SY2207 @ SY2208 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2672]) ).

thf(2999,plain,
    ! [SV555: $i,SV252: $i] :
      ( ( ! [SY2209: $i,SY2210: $i,SY2211: $i] :
            ( ( seq_list_char @ SV252 @ SV555 )
           != ( block_list_char @ SY2209 @ SY2210 @ SY2211 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2673]) ).

thf(3000,plain,
    ! [SV556: $i,SV253: $i] :
      ( ( ! [SY2212: $i,SY2213: $i,SY2214: $i,SY2215: $i] :
            ( ! [SY2216: $i] :
                ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV253 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV556 ) @ SY2212 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2213 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2214 ) @ SY2215 ) ) ) ) @ ( red @ SY2216 ) ) )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ ( dom_list_char_val @ SY2212 ) ) @ ( dom_list_char_val @ SY2215 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2674]) ).

thf(3001,plain,
    ! [SV254: $i,SV557: $i] :
      ( ( ! [SY2217: $i] :
            ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SV557 @ SY2217 ) )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV557 ) @ SV254 ) )
            | ( hBOOL @ ( hAPP_list_char_bool @ SV254 @ SY2217 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2675]) ).

thf(3002,plain,
    ! [SV255: $i,SV558: $i] :
      ( ( ! [SY2218: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV558 ) @ SY2218 ) )
            | ~ ( hBOOL @ ( hAPP_list_char_bool @ SV558 @ SV255 ) )
            | ( hBOOL @ ( hAPP_list_char_bool @ SY2218 @ SV255 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2676]) ).

thf(3003,plain,
    ! [SV559: $i,SV256: $i] :
      ( ( ! [SY2219: $i] :
            ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV256 @ SV559 @ ( hAPP_val_option_val @ some_val @ SY2219 ) ) @ ( sK12_X_1 @ SY2219 @ SV559 @ SV256 ) )
           != none_val ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2677]) ).

thf(3004,plain,
    ! [SV258: $i,SV560: $i] :
      ( ( ! [SY2220: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV560 ) @ SY2220 ) )
            | ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SV560 @ SV258 ) ) @ ( hAPP_list_char_bool @ SY2220 @ SV258 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2679]) ).

thf(3005,plain,
    ! [SV259: $i,SV561: $i] :
      ( ( ! [SY2221: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV561 ) @ SY2221 ) )
            | ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SV561 @ SV259 ) ) @ ( hAPP_list_char_bool @ SY2221 @ SV259 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2680]) ).

thf(3006,plain,
    ! [SV260: $i] :
      ( ( ( ~ ( hBOOL @ ( wf_pro755087577t_char @ wf_J_mdecl @ SV260 ) ) )
        = $true )
      | ( ( hBOOL @ ( wf_pro755087577t_char @ wwf_J_mdecl @ SV260 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2681]) ).

thf(3007,plain,
    ! [SV562: $i,SV261: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SV261 @ ( sK2_X_1 @ SV562 @ SV261 ) ) ) @ ( hAPP_list_char_bool @ SV562 @ ( sK2_X_1 @ SV562 @ SV261 ) ) ) )
        | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV261 ) @ SV562 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2682]) ).

thf(3008,plain,
    ! [SV563: $i,SV263: $i] :
      ( ( ( semila919158006r_bool @ SV263 @ SV563 )
        = ( semila919158006r_bool @ SV563 @ SV263 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2684]) ).

thf(3009,plain,
    ! [SV564: $i,SV264: $i] :
      ( ( ( fv @ ( seq_list_char @ SV264 @ SV564 ) )
        = ( semila919158006r_bool @ ( fv @ SV264 ) @ ( fv @ SV564 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2685]) ).

thf(3010,plain,
    ! [SV565: $i,SV265: $i] :
      ( ( ! [SY2222: $i,SY2223: $i] :
            ( ( fv @ ( fAss_list_char @ SV265 @ SV565 @ SY2222 @ SY2223 ) )
            = ( semila919158006r_bool @ ( fv @ SV265 ) @ ( fv @ SY2223 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2686]) ).

thf(3011,plain,
    ! [SV566: $i,SV267: $i] :
      ( ( ! [SY2224: $i] :
            ( ( fv @ ( fAcc_list_char @ SV267 @ SV566 @ SY2224 ) )
            = ( fv @ SV267 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2688]) ).

thf(3012,plain,
    ! [SV567: $i,SV268: $i] :
      ( ( ! [SY2225: $i,SY2226: $i,SY2227: $i,SY2228: $i,SY2229: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2225 ) @ SY2226 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2227 ) ) @ SY2228 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2229 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY2225 @ SV268 @ SV567 ) ) @ SY2226 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2227 ) ) @ SY2228 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2229 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2689]) ).

thf(3013,plain,
    ! [SV269: $i,SV568: $i] :
      ( ( ! [SY2230: $i,SY2231: $i,SY2232: $i,SY2233: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV568 ) @ SY2230 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2231 ) ) @ SY2232 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2233 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV269 @ SV568 ) ) @ SY2230 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2231 ) ) @ SY2232 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2233 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2690]) ).

thf(3014,plain,
    ! [SV270: $i,SV569: $i] :
      ( ( ! [SY2234: $i,SY2235: $i,SY2236: $i,SY2237: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV569 ) @ SY2234 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2235 ) ) @ SY2236 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2237 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV569 @ SV270 ) ) @ SY2234 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2235 ) ) @ SY2236 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2237 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2691]) ).

thf(3015,plain,
    ! [SV570: $i,SV271: $i] :
      ( ( ! [SY2238: $i,SY2239: $i,SY2240: $i,SY2241: $i,SY2242: $i,SY2243: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2239 ) @ SY2240 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2241 ) ) @ SY2242 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2243 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2239 @ SV271 @ SV570 @ SY2238 ) ) @ SY2240 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2241 ) ) @ SY2242 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2243 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2692]) ).

thf(3016,plain,
    ! [SV272: $i,SV571: $i] :
      ( ( ! [SY2244: $i,SY2245: $i,SY2246: $i,SY2247: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SV571 @ SY2244 @ SY2245 @ SY2246 @ SY2247 ) )
            | ~ ( hBOOL @ ( is_refT @ SY2247 ) )
            | ( hBOOL @ ( wTrt_1 @ SV571 @ SY2244 @ SY2245 @ ( throw_list_char @ SY2246 ) @ SV272 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2693]) ).

thf(3017,plain,
    ! [SV572: $i,SV273: $i] :
      ( ( ! [SY2248: $i] :
            ( ( fv @ ( binOp_list_char @ SV273 @ SV572 @ SY2248 ) )
            = ( semila919158006r_bool @ ( fv @ SV273 ) @ ( fv @ SY2248 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2694]) ).

thf(3018,plain,
    ! [SV573: $i,SV274: $i] :
      ( ( ! [SY2249: $i,SY2250: $i,SY2251: $i,SY2252: $i,SY2253: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2249 ) @ SY2250 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2251 ) ) @ SY2252 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2253 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY2249 @ SV274 @ SV573 ) ) @ SY2250 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2251 ) ) @ SY2252 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2253 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2695]) ).

thf(3019,plain,
    ! [SV574: $i,SV275: $i] :
      ( ( ( fv @ ( cast_list_char @ SV275 @ SV574 ) )
        = ( fv @ SV574 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2696]) ).

thf(3020,plain,
    ! [SV276: $i,SV575: $i] :
      ( ( ! [SY2254: $i,SY2255: $i,SY2256: $i,SY2257: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV575 ) @ SY2254 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2255 ) ) @ SY2256 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2257 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV276 @ SV575 ) ) @ SY2254 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2255 ) ) @ SY2256 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2257 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2697]) ).

thf(3021,plain,
    ! [SV277: $i,SV576: $i] :
      ( ( ! [SY2258: $i,SY2259: $i,SY2260: $i,SY2261: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV576 @ SY2258 @ SY2259 @ SY2260 @ SY2261 ) )
            | ~ ( hBOOL @ ( is_refT @ SY2261 ) )
            | ( hBOOL @ ( wTrt @ SV576 @ SY2258 @ SY2259 @ ( throw_list_char @ SY2260 ) @ SV277 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2698]) ).

thf(3022,plain,
    ! [SV577: $i,SV278: $i] :
      ( ( ( ( addr @ SV278 )
         != ( bool @ SV577 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2699]) ).

thf(3023,plain,
    ! [SV578: $i,SV279: $i] :
      ( ( ( ( bool @ SV279 )
         != ( addr @ SV578 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2700]) ).

thf(3024,plain,
    ! [SV280: $i] :
      ( ( unit
        = ( bool @ SV280 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2701]) ).

thf(3025,plain,
    ! [SV281: $i] :
      ( ( ( bool @ SV281 )
        = unit )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2702]) ).

thf(3026,plain,
    ! [SV282: $i] :
      ( ( null
        = ( bool @ SV282 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2703]) ).

thf(3027,plain,
    ! [SV283: $i] :
      ( ( ( bool @ SV283 )
        = null )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2704]) ).

thf(3028,plain,
    ! [SV284: $i,SV579: $i] :
      ( ( ! [SY2262: $i,SY2263: $i,SY2264: $i,SY2265: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV579 ) @ SY2262 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2263 ) ) @ SY2264 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2265 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( while_list_char @ SV579 @ SV284 ) ) @ SY2262 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2263 ) ) @ SY2264 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2265 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2705]) ).

thf(3029,plain,
    ! [SV580: $i,SV285: $i] :
      ( ( ! [SY2266: $i] :
            ( ( fv @ ( cond_list_char @ SV285 @ SV580 @ SY2266 ) )
            = ( semila919158006r_bool @ ( semila919158006r_bool @ ( fv @ SV285 ) @ ( fv @ SV580 ) ) @ ( fv @ SY2266 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2706]) ).

thf(3030,plain,
    ! [SV581: $i,SV286: $i] :
      ( ( ! [SY2267: $i,SY2268: $i,SY2269: $i,SY2270: $i,SY2271: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2267 ) @ SY2268 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2269 ) ) @ SY2270 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2271 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SY2267 @ SV286 @ SV581 ) ) @ SY2268 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2269 ) ) @ SY2270 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2271 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2707]) ).

thf(3031,plain,
    ! [SV582: $i,SV287: $i] :
      ( ( ! [SY2272: $i,SY2273: $i,SY2274: $i,SY2275: $i,SY2276: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SY2273 @ SY2274 @ SY2275 @ SY2276 @ nt ) )
            | ( hBOOL @ ( wTrt_1 @ SY2273 @ SY2274 @ SY2275 @ ( fAcc_list_char @ SY2276 @ SV287 @ SV582 ) @ SY2272 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2708]) ).

thf(3032,plain,
    ! [SV583: $i,SV288: $i] :
      ( ( ! [SY2277: $i,SY2278: $i,SY2279: $i,SY2280: $i,SY2281: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SY2278 @ SY2279 @ SY2280 @ SY2281 @ nt ) )
            | ( hBOOL @ ( wTrt @ SY2278 @ SY2279 @ SY2280 @ ( fAcc_list_char @ SY2281 @ SV288 @ SV583 ) @ SY2277 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2709]) ).

thf(3033,plain,
    ! [SV584: $i,SV289: $i] :
      ( ( ! [SY2282: $i,SY2283: $i,SY2284: $i,SY2285: $i,SY2286: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2282 ) @ SY2283 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2284 ) ) @ SY2285 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2286 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SY2282 @ SV289 @ SV584 ) ) @ SY2283 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2284 ) ) @ SY2285 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2286 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2710]) ).

thf(3034,plain,
    ! [SV585: $i,SV290: $i] :
      ( ( ! [SY2287: $i,SY2288: $i,SY2289: $i,SY2290: $i,SY2291: $i,SY2292: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SY2289 @ SY2290 @ SY2291 @ SY2292 @ nt ) )
            | ~ ( hBOOL @ ( wTrts_1 @ SY2289 @ SY2290 @ SY2291 @ SY2287 @ SY2288 ) )
            | ( hBOOL @ ( wTrt_1 @ SY2289 @ SY2290 @ SY2291 @ ( call_list_char @ SY2292 @ SV290 @ SY2287 ) @ SV585 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2711]) ).

thf(3035,plain,
    ! [SV586: $i,SV291: $i] :
      ( ( ! [SY2293: $i,SY2294: $i,SY2295: $i,SY2296: $i,SY2297: $i,SY2298: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SY2295 @ SY2296 @ SY2297 @ SY2298 @ nt ) )
            | ~ ( hBOOL @ ( wTrts @ SY2295 @ SY2296 @ SY2297 @ SY2293 @ SY2294 ) )
            | ( hBOOL @ ( wTrt @ SY2295 @ SY2296 @ SY2297 @ ( call_list_char @ SY2298 @ SV291 @ SY2293 ) @ SV586 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2712]) ).

thf(3036,plain,
    ! [SV292: $i] :
      ( ( ( ~ ( is_bool @ SV292 ) )
        = $true )
      | ( ( ( SV292 = fTrue )
          | ( SV292 = fFalse ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2713]) ).

thf(3037,plain,
    ! [SV293: $i] :
      ( ( ( ~ ( is_bool @ SV293 ) )
        = $true )
      | ( ( ( SV293 = fTrue )
          | ( SV293 = fFalse ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2714]) ).

thf(3038,plain,
    ! [SV294: $i,SV587: $i] :
      ( ( ! [SY2299: $i,SY2300: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SY2299 ) ) @ ( transi2024712006on_val @ SY2300 ) ) )
            | ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SY2299 ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK13_Y_1 @ SY2300 @ SY2299 @ SV587 @ SV294 ) ) @ ( sK14_SY1140 @ SY2300 @ SY2299 @ SV587 @ SV294 ) ) ) @ SY2300 ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_SY1140 @ SY2300 @ SY2299 @ SV587 @ SV294 ) ) @ SY2299 ) ) @ ( transi2024712006on_val @ SY2300 ) ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK14_SY1140 @ SY2300 @ SY2299 @ SV587 @ SV294 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK13_Y_1 @ SY2300 @ SY2299 @ SV587 @ SV294 ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2716]) ).

thf(3039,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) )
            | ( SX1 != SX0 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2717]) ).

thf(3040,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) )
            | ( SX1 = SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2717]) ).

thf(3041,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( sK69_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)],[2718]) ).

thf(3042,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK67_A_1 @ SX0 ) ) @ ( sK68_SY1167 @ SX0 ) ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2718]) ).

thf(3043,plain,
    ! [SV588: $i,SV295: $i] :
      ( ( ~ ( ~ ! [SY2301: $i,SY2302: $i] :
                  ( ( SY2302 != SY2301 )
                  | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV295 @ SY2301 @ SV588 ) @ SY2302 )
                    = SV588 ) )
            | ~ ! [SY2303: $i,SY2304: $i] :
                  ( ( SY2304 = SY2303 )
                  | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV295 @ SY2303 @ SV588 ) @ SY2304 )
                    = ( hAPP_l207779698on_val @ SV295 @ SY2304 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2719]) ).

thf(3044,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SX0 ) @ SX1 ) )
            | ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2720]) ).

thf(3045,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SX0 ) @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2720]) ).

thf(3046,plain,
    ! [SV589: $i,SV296: $i] :
      ( ( ! [SY2305: $i,SY2306: $i,SY2307: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2305 ) @ SY2306 ) ) ) @ ( transi2024712006on_val @ SY2307 ) ) )
            | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 )
              = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2305 ) @ SY2306 ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SY2307 @ SY2306 @ SY2305 @ SV589 @ SV296 ) ) @ ( sK21_SY1142 @ SY2307 @ SY2306 @ SY2305 @ SV589 @ SV296 ) ) ) ) @ SY2307 ) )
                | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SY2307 @ SY2306 @ SY2305 @ SV589 @ SV296 ) ) @ ( sK21_SY1142 @ SY2307 @ SY2306 @ SY2305 @ SV589 @ SV296 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2305 ) @ SY2306 ) ) ) @ ( transi2024712006on_val @ SY2307 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2721]) ).

thf(3047,plain,
    ! [SV590: $i,SV297: $i] :
      ( ( ! [SY2308: $i,SY2309: $i] :
            ( ! [SY2310: $i] :
                ~ ( hBOOL @ ( wTrt_1 @ SV297 @ SV590 @ SY2308 @ ( throw_list_char @ SY2309 ) @ SY2310 ) )
            | ~ ( ~ ( hBOOL @ ( wTrt_1 @ SV297 @ SV590 @ SY2308 @ SY2309 @ ( sK1_T_r_1 @ SY2309 @ SY2308 @ SV590 @ SV297 ) ) )
                | ~ ( hBOOL @ ( is_refT @ ( sK1_T_r_1 @ SY2309 @ SY2308 @ SV590 @ SV297 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2722]) ).

thf(3048,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK33_A_1 @ SX0 ) ) @ ( sK34_SY1145 @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2723]) ).

thf(3049,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 @ ( sK32_X1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2723]) ).

thf(3050,plain,
    ! [SV298: $i] :
      ( ( ~ ! [SY1796: $i,SY1797: $i] :
              ( ~ ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV298 @ SY1796 ) @ SY1797 ) )
              | ( hBOOL @ ( d_list_char @ SY1796 @ SY1797 ) ) )
        | ~ ! [SY1798: $i,SY1799: $i] :
              ( ~ ( hBOOL @ ( d_list_char @ SY1798 @ SY1799 ) )
              | ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV298 @ SY1798 ) @ SY1799 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2724]) ).

thf(3051,plain,
    ! [SV591: $i,SV299: $i] :
      ( ( ! [SY2311: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2312: $i] :
                                ( ! [SY2313: $i] :
                                    ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SY2311 ) ) @ SY2312 )
                                   != ( hAPP_val_option_val @ some_val @ SY2313 ) )
                                | ( SY2312 = SV591 )
                                | ( SY2312 != SV591 ) )
                          | ~ ! [SY2314: $i,SY2315: $i] :
                                ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SY2311 ) ) @ SY2314 )
                                 != ( hAPP_val_option_val @ some_val @ SY2315 ) )
                                | ( SY2314 = SV591 )
                                | ( ( hAPP_P2094403585on_val @ SV299 @ SY2314 )
                                  = ( hAPP_val_option_val @ some_val @ SY2315 ) ) ) )
                    | ~ ~ ( ~ ! [SY2316: $i,SY2317: $i] :
                                ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SY2311 ) ) @ SY2316 )
                                 != ( hAPP_val_option_val @ some_val @ SY2317 ) )
                                | ( SY2311 = SY2317 )
                                | ( SY2316 != SV591 ) )
                          | ~ ! [SY2318: $i,SY2319: $i] :
                                ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SY2311 ) ) @ SY2318 )
                                 != ( hAPP_val_option_val @ some_val @ SY2319 ) )
                                | ( SY2311 = SY2319 )
                                | ( ( hAPP_P2094403585on_val @ SV299 @ SY2318 )
                                  = ( hAPP_val_option_val @ some_val @ SY2319 ) ) ) ) )
              | ~ ~ ( ~ ! [SY2320: $i,SY2321: $i] :
                          ( ( SY2320 != SV591 )
                          | ( SY2311 != SY2321 )
                          | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SY2311 ) ) @ SY2320 )
                            = ( hAPP_val_option_val @ some_val @ SY2321 ) ) )
                    | ~ ! [SY2322: $i,SY2323: $i] :
                          ( ( SY2322 = SV591 )
                          | ( ( hAPP_P2094403585on_val @ SV299 @ SY2322 )
                           != ( hAPP_val_option_val @ some_val @ SY2323 ) )
                          | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SY2311 ) ) @ SY2322 )
                            = ( hAPP_val_option_val @ some_val @ SY2323 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2725]) ).

thf(3052,plain,
    ! [SV300: $i] :
      ( ( ~ ! [SY1814: $i,SY1815: $i] :
              ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SY1814 @ SY1815 ) )
              | ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV300 @ SY1814 ) @ SY1815 ) ) )
        | ~ ! [SY1816: $i,SY1817: $i] :
              ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SV300 @ SY1817 ) )
              | ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV300 @ SY1816 ) @ SY1817 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2726]) ).

thf(3053,plain,
    ! [SV301: $i,SV592: $i] :
      ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( sK22_X_1 @ SV592 @ SV301 ) ) @ SV592 ) )
            | ~ ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( sK22_X_1 @ SV592 @ SV301 ) ) @ SV301 ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV592 ) @ SV301 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2727]) ).

thf(3054,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2728]) ).

thf(3055,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2728]) ).

thf(3056,plain,
    ! [SV593: $i,SV302: $i] :
      ( ( ! [SY2324: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV302 ) @ SV593 ) ) @ ( transi2024712006on_val @ SY2324 ) ) )
            | ( SV302 = SV593 )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV302 ) @ ( sK15_Y_1 @ SY2324 @ SV593 @ SV302 ) ) ) @ SY2324 ) )
                | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK15_Y_1 @ SY2324 @ SV593 @ SV302 ) ) @ SV593 ) ) @ ( transi2024712006on_val @ SY2324 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2729]) ).

thf(3057,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( sK63_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)],[2730]) ).

thf(3058,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK61_A_1 @ SX0 ) ) @ ( sK62_SY1165 @ SX0 ) ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2730]) ).

thf(3059,plain,
    ! [SV594: $i,SV303: $i] :
      ( ( ~ ( ~ ! [SY2325: $i,SY2326: $i] :
                  ( ( SV303 != SY2325 )
                  | ( SV594 != SY2326 )
                  | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
                    = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2325 ) @ SY2326 ) ) )
            | ~ ~ ( ~ ! [SY2327: $i] :
                        ( ! [SY2328: $i] :
                            ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
                           != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2327 ) @ SY2328 ) )
                        | ( SV303 = SY2327 ) )
                  | ~ ! [SY2329: $i,SY2330: $i] :
                        ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
                         != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2329 ) @ SY2330 ) )
                        | ( SV594 = SY2330 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2731]) ).

thf(3060,plain,
    ! [SV595: $i,SV304: $i] :
      ( ( ~ ( ~ ! [SY2331: $i,SY2332: $i] :
                  ( ( SV304 != SY2331 )
                  | ( SV595 != SY2332 )
                  | ( ( lAss_list_char @ SV304 @ SV595 )
                    = ( lAss_list_char @ SY2331 @ SY2332 ) ) )
            | ~ ~ ( ~ ! [SY2333: $i] :
                        ( ! [SY2334: $i] :
                            ( ( lAss_list_char @ SV304 @ SV595 )
                           != ( lAss_list_char @ SY2333 @ SY2334 ) )
                        | ( SV304 = SY2333 ) )
                  | ~ ! [SY2335: $i,SY2336: $i] :
                        ( ( ( lAss_list_char @ SV304 @ SV595 )
                         != ( lAss_list_char @ SY2335 @ SY2336 ) )
                        | ( SV595 = SY2336 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2732]) ).

thf(3061,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) )
            | ( SX0 = SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2733]) ).

thf(3062,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ( SX0 != SX1 )
                  | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ( SX0 != SX1 )
                  | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2733]) ).

thf(3063,plain,
    ! [SV596: $i,SV305: $i] :
      ( ( ! [SY2337: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV305 ) @ SV596 ) ) @ ( transi2024712006on_val @ SY2337 ) ) )
            | ( SV305 = SV596 )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV305 ) @ ( sK16_Y_1 @ SY2337 @ SV596 @ SV305 ) ) ) @ ( transi2024712006on_val @ SY2337 ) ) )
                | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_Y_1 @ SY2337 @ SV596 @ SV305 ) ) @ SV596 ) ) @ SY2337 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2734]) ).

thf(3064,plain,
    ! [SV306: $i,SV597: $i] :
      ( ( ! [SY2338: $i,SY2339: $i,SY2340: $i,SY2341: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SY2338 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2339 ) @ SY2340 ) ) ) @ ( transi2024712006on_val @ SY2341 ) ) )
            | ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SY2339 ) @ SY2340 ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK8_A_1 @ SY2341 @ SY2340 @ SY2339 @ SY2338 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SY2341 @ SY2340 @ SY2339 @ SY2338 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SY2341 @ SY2340 @ SY2339 @ SY2338 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SY2341 @ SY2340 @ SY2339 @ SY2338 @ SV597 @ SV306 ) ) ) ) @ SY2341 ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SY2341 @ SY2340 @ SY2339 @ SY2338 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SY2341 @ SY2340 @ SY2339 @ SY2338 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2339 ) @ SY2340 ) ) ) @ ( transi2024712006on_val @ SY2341 ) ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK10_SY1137 @ SY2341 @ SY2340 @ SY2339 @ SY2338 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SY2341 @ SY2340 @ SY2339 @ SY2338 @ SV597 @ SV306 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK8_A_1 @ SY2341 @ SY2340 @ SY2339 @ SY2338 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SY2341 @ SY2340 @ SY2339 @ SY2338 @ SV597 @ SV306 ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SY2338 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2735]) ).

thf(3065,plain,
    ! [SV598: $i,SV307: $i] :
      ( ( ~ ( ~ ! [SY2342: $i,SY2343: $i] :
                  ( ( SV307 != SY2342 )
                  | ( SV598 != SY2343 )
                  | ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
                    = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2342 ) @ SY2343 ) ) )
            | ~ ~ ( ~ ! [SY2344: $i] :
                        ( ! [SY2345: $i] :
                            ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
                           != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2344 ) @ SY2345 ) )
                        | ( SV307 = SY2344 ) )
                  | ~ ! [SY2346: $i,SY2347: $i] :
                        ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
                         != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2346 ) @ SY2347 ) )
                        | ( SV598 = SY2347 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2736]) ).

thf(3066,plain,
    ! [SV599: $i,SV308: $i] :
      ( ( ~ ( ~ ! [SY2348: $i,SY2349: $i] :
                  ( ( SV308 != SY2348 )
                  | ( SV599 != SY2349 )
                  | ( ( seq_list_char @ SV308 @ SV599 )
                    = ( seq_list_char @ SY2348 @ SY2349 ) ) )
            | ~ ~ ( ~ ! [SY2350: $i] :
                        ( ! [SY2351: $i] :
                            ( ( seq_list_char @ SV308 @ SV599 )
                           != ( seq_list_char @ SY2350 @ SY2351 ) )
                        | ( SV308 = SY2350 ) )
                  | ~ ! [SY2352: $i,SY2353: $i] :
                        ( ( ( seq_list_char @ SV308 @ SV599 )
                         != ( seq_list_char @ SY2352 @ SY2353 ) )
                        | ( SV599 = SY2353 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2737]) ).

thf(3067,plain,
    ! [SV600: $i,SV309: $i] :
      ( ( ! [SY2354: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2355: $i] :
                                ( ! [SY2356: $i] :
                                    ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SY2354 ) ) @ SY2355 )
                                   != ( hAPP_val_option_val @ some_val @ SY2356 ) )
                                | ( SY2355 = SV600 )
                                | ( SY2355 != SV600 ) )
                          | ~ ! [SY2357: $i,SY2358: $i] :
                                ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SY2354 ) ) @ SY2357 )
                                 != ( hAPP_val_option_val @ some_val @ SY2358 ) )
                                | ( SY2357 = SV600 )
                                | ( ( hAPP_l207779698on_val @ SV309 @ SY2357 )
                                  = ( hAPP_val_option_val @ some_val @ SY2358 ) ) ) )
                    | ~ ~ ( ~ ! [SY2359: $i,SY2360: $i] :
                                ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SY2354 ) ) @ SY2359 )
                                 != ( hAPP_val_option_val @ some_val @ SY2360 ) )
                                | ( SY2354 = SY2360 )
                                | ( SY2359 != SV600 ) )
                          | ~ ! [SY2361: $i,SY2362: $i] :
                                ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SY2354 ) ) @ SY2361 )
                                 != ( hAPP_val_option_val @ some_val @ SY2362 ) )
                                | ( SY2354 = SY2362 )
                                | ( ( hAPP_l207779698on_val @ SV309 @ SY2361 )
                                  = ( hAPP_val_option_val @ some_val @ SY2362 ) ) ) ) )
              | ~ ~ ( ~ ! [SY2363: $i,SY2364: $i] :
                          ( ( SY2363 != SV600 )
                          | ( SY2354 != SY2364 )
                          | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SY2354 ) ) @ SY2363 )
                            = ( hAPP_val_option_val @ some_val @ SY2364 ) ) )
                    | ~ ! [SY2365: $i,SY2366: $i] :
                          ( ( SY2365 = SV600 )
                          | ( ( hAPP_l207779698on_val @ SV309 @ SY2365 )
                           != ( hAPP_val_option_val @ some_val @ SY2366 ) )
                          | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SY2354 ) ) @ SY2365 )
                            = ( hAPP_val_option_val @ some_val @ SY2366 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2738]) ).

thf(3068,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)],[2739]) ).

thf(3069,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)],[2739]) ).

thf(3070,plain,
    ! [SV601: $i,SV310: $i] :
      ( ( ~ ( ~ ! [SY2367: $i] :
                  ( ! [SY2368: $i] :
                      ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV310 ) @ SV601 )
                     != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2367 ) @ SY2368 ) )
                  | ( SV310 = SY2367 ) )
            | ~ ! [SY2369: $i,SY2370: $i] :
                  ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV310 ) @ SV601 )
                   != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2369 ) @ SY2370 ) )
                  | ( SV601 = SY2370 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2740]) ).

thf(3071,plain,
    ! [SV602: $i,SV311: $i] :
      ( ( ~ ( ~ ! [SY2371: $i,SY2372: $i] :
                  ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV311 @ SV602 ) @ SY2371 )
                   != ( hAPP_val_option_val @ some_val @ SY2372 ) )
                  | ( ( hAPP_l207779698on_val @ SV602 @ SY2371 )
                    = none_val )
                  | ( ( hAPP_l207779698on_val @ SV602 @ SY2371 )
                    = ( hAPP_val_option_val @ some_val @ SY2372 ) ) )
            | ~ ! [SY2373: $i,SY2374: $i] :
                  ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV311 @ SV602 ) @ SY2373 )
                   != ( hAPP_val_option_val @ some_val @ SY2374 ) )
                  | ( ( hAPP_l207779698on_val @ SV311 @ SY2373 )
                    = ( hAPP_val_option_val @ some_val @ SY2374 ) )
                  | ( ( hAPP_l207779698on_val @ SV602 @ SY2373 )
                    = ( hAPP_val_option_val @ some_val @ SY2374 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2741]) ).

thf(3072,plain,
    ! [SV603: $i,SV312: $i] :
      ( ( ~ ( ~ ! [SY2375: $i,SY2376: $i] :
                  ( ( SY2376 != SY2375 )
                  | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV312 @ SY2375 @ SV603 ) @ SY2376 )
                    = SV603 ) )
            | ~ ! [SY2377: $i,SY2378: $i] :
                  ( ( SY2378 = SY2377 )
                  | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV312 @ SY2377 @ SV603 ) @ SY2378 )
                    = ( hAPP_P2094403585on_val @ SV312 @ SY2378 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2742]) ).

thf(3073,plain,
    ! [SV604: $i,SV313: $i] :
      ( ( ~ ( ~ ! [SY2379: $i] :
                  ( ! [SY2380: $i] :
                      ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV604 )
                     != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2379 ) @ SY2380 ) )
                  | ( SV313 = SY2379 ) )
            | ~ ! [SY2381: $i,SY2382: $i] :
                  ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV604 )
                   != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2381 ) @ SY2382 ) )
                  | ( SV604 = SY2382 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2743]) ).

thf(3074,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( SX0
              = ( hAPP_val_option_val @ some_val @ ( sK25_Y_1 @ SX0 ) ) )
            | ( SX0 = none_val ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2744]) ).

thf(3075,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( SX0 != none_val )
            | ! [SX1: $i] :
                ( SX0
               != ( hAPP_val_option_val @ some_val @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2744]) ).

thf(3076,plain,
    ! [SV605: $i,SV314: $i] :
      ( ( ~ ( ~ ! [SY2383: $i,SY2384: $i] :
                  ( ( SY2383 != SY2384 )
                  | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV314 @ SY2384 @ SV605 ) @ SY2383 )
                    = SV605 ) )
            | ~ ! [SY2385: $i,SY2386: $i] :
                  ( ( SY2385 = SY2386 )
                  | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV314 @ SY2386 @ SV605 ) @ SY2385 )
                    = ( hAPP_P2094403585on_val @ SV314 @ SY2385 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2745]) ).

thf(3077,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SX1 @ SX0 ) ) @ ( sK48_SY1152 @ SX1 @ SX0 ) ) ) @ SX1 ) )
                    | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SX1 @ SX0 ) ) @ ( sK48_SY1152 @ SX1 @ SX0 ) ) ) @ SX0 ) ) )
                | ~ ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SX1 @ SX0 ) ) @ ( sK48_SY1152 @ SX1 @ SX0 ) ) ) @ SX1 ) )
                    | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SX1 @ SX0 ) ) @ ( sK48_SY1152 @ SX1 @ SX0 ) ) ) @ SX0 ) ) ) )
            | ( SX1 = SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2746]) ).

thf(3078,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX1 != SX0 )
            | ~ ( ~ ! [SX2: $i,SX3: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) ) @ SX1 ) )
                      | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) ) @ SX0 ) ) )
                | ~ ! [SX2: $i,SX3: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) ) @ SX0 ) )
                      | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) ) @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2746]) ).

thf(3079,plain,
    ! [SV315: $i] :
      ( ( ~ ! [SY1895: $i,SY1896: $i] :
              ( ( ( fun_up204312361on_val @ SV315 @ SY1895 @ SY1896 )
               != SV315 )
              | ( ( hAPP_P2094403585on_val @ SV315 @ SY1895 )
                = SY1896 ) )
        | ~ ! [SY1897: $i,SY1898: $i] :
              ( ( ( hAPP_P2094403585on_val @ SV315 @ SY1897 )
               != SY1898 )
              | ( ( fun_up204312361on_val @ SV315 @ SY1897 @ SY1898 )
                = SV315 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2747]) ).

thf(3080,plain,
    ! [SV316: $i] :
      ( ( ~ ! [SY1899: $i,SY1900: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SY1899 ) @ SY1900 ) )
              | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SY1899 ) @ ( semila751111325l_bool @ SV316 @ SY1900 ) ) ) )
        | ~ ! [SY1901: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SY1901 ) @ SV316 ) )
              | ! [SY1902: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SY1901 ) @ ( semila751111325l_bool @ SV316 @ SY1902 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2748]) ).

thf(3081,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) )
            | ( SX0 = SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2749]) ).

thf(3082,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ( SX0 != SX1 )
                  | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ( SX0 != SX1 )
                  | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2749]) ).

thf(3083,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( SX0 = none_val )
            | ( SX0
              = ( hAPP_val_option_val @ some_val @ ( sK24_Y_1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2750]) ).

thf(3084,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ( SX0
               != ( hAPP_val_option_val @ some_val @ SX1 ) )
            | ( SX0 != none_val ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2750]) ).

thf(3085,plain,
    ! [SV606: $i,SV317: $i] :
      ( ( ~ ( ~ ! [SY2387: $i,SY2388: $i] :
                  ( ( SY2387 != SY2388 )
                  | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV317 @ SY2388 @ SV606 ) @ SY2387 )
                    = SV606 ) )
            | ~ ! [SY2389: $i,SY2390: $i] :
                  ( ( SY2389 = SY2390 )
                  | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV317 @ SY2390 @ SV606 ) @ SY2389 )
                    = ( hAPP_l207779698on_val @ SV317 @ SY2389 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2751]) ).

thf(3086,plain,
    ! [SV318: $i] :
      ( ( ~ ! [SY1908: $i,SY1909: $i] :
              ( ( ( hAPP_l207779698on_val @ SY1908 @ SY1909 )
               != none_val )
              | ( ( hAPP_l207779698on_val @ SV318 @ SY1909 )
               != none_val )
              | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SY1908 ) @ SY1909 )
                = none_val ) )
        | ~ ~ ( ~ ! [SY1910: $i,SY1911: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SY1910 ) @ SY1911 )
                     != none_val )
                    | ( ( hAPP_l207779698on_val @ SY1910 @ SY1911 )
                      = none_val ) )
              | ~ ! [SY1912: $i,SY1913: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SY1912 ) @ SY1913 )
                     != none_val )
                    | ( ( hAPP_l207779698on_val @ SV318 @ SY1913 )
                      = none_val ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2752]) ).

thf(3087,plain,
    ! [SV319: $i,SV607: $i] :
      ( ( ! [SY2391: $i,SY2392: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SY2391 ) ) @ ( transi2024712006on_val @ SY2392 ) ) )
            | ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ ( sK17_Y_1 @ SY2392 @ SY2391 @ SV607 @ SV319 ) ) ) @ ( transi2024712006on_val @ SY2392 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK17_Y_1 @ SY2392 @ SY2391 @ SV607 @ SV319 ) ) @ ( sK18_SY1141 @ SY2392 @ SY2391 @ SV607 @ SV319 ) ) ) @ SY2392 ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK17_Y_1 @ SY2392 @ SY2391 @ SV607 @ SV319 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK18_SY1141 @ SY2392 @ SY2391 @ SV607 @ SV319 ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SY2391 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2753]) ).

thf(3088,plain,
    ! [SV320: $i] :
      ( ( ~ ! [SY1917: $i,SY1918: $i] :
              ( ( ( fun_up1149430426on_val @ SV320 @ SY1917 @ SY1918 )
               != SV320 )
              | ( ( hAPP_l207779698on_val @ SV320 @ SY1917 )
                = SY1918 ) )
        | ~ ! [SY1919: $i,SY1920: $i] :
              ( ( ( hAPP_l207779698on_val @ SV320 @ SY1919 )
               != SY1920 )
              | ( ( fun_up1149430426on_val @ SV320 @ SY1919 @ SY1920 )
                = SV320 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2754]) ).

thf(3089,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK66_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)],[2755]) ).

thf(3090,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK64_A_1 @ SX0 ) ) @ ( sK65_SY1166 @ SX0 ) ) ) )
            | ! [SX1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2755]) ).

thf(3091,plain,
    ! [SV608: $i,SV321: $i] :
      ( ( ~ ( ~ ! [SY2393: $i] :
                  ( ! [SY2394: $i] :
                      ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV321 ) @ SV608 )
                     != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2393 ) @ SY2394 ) )
                  | ( SV321 = SY2393 ) )
            | ~ ! [SY2395: $i,SY2396: $i] :
                  ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV321 ) @ SV608 )
                   != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2395 ) @ SY2396 ) )
                  | ( SV608 = SY2396 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2756]) ).

thf(3092,plain,
    ! [SV322: $i,SV609: $i] :
      ( ( ! [SY2397: $i,SY2398: $i,SY2399: $i,SY2400: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SY2397 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2398 ) @ SY2399 ) ) ) @ ( transi2024712006on_val @ SY2400 ) ) )
            | ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SY2397 ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SY2397 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SY2400 @ SY2399 @ SY2398 @ SY2397 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SY2400 @ SY2399 @ SY2398 @ SY2397 @ SV609 @ SV322 ) ) ) ) @ ( transi2024712006on_val @ SY2400 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SY2400 @ SY2399 @ SY2398 @ SY2397 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SY2400 @ SY2399 @ SY2398 @ SY2397 @ SV609 @ SV322 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY1131 @ SY2400 @ SY2399 @ SY2398 @ SY2397 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SY2400 @ SY2399 @ SY2398 @ SY2397 @ SV609 @ SV322 ) ) ) ) @ SY2400 ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK4_A_1 @ SY2400 @ SY2399 @ SY2398 @ SY2397 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SY2400 @ SY2399 @ SY2398 @ SY2397 @ SV609 @ SV322 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK6_SY1131 @ SY2400 @ SY2399 @ SY2398 @ SY2397 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SY2400 @ SY2399 @ SY2398 @ SY2397 @ SV609 @ SV322 ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SY2398 ) @ SY2399 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2757]) ).

thf(3093,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK30_A_1 @ SX0 ) ) @ ( sK31_SY1144 @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2758]) ).

thf(3094,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 @ ( sK29_X1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2758]) ).

thf(3095,plain,
    ! [SV610: $i,SV323: $i] :
      ( ( ~ ( ~ ! [SY2401: $i,SY2402: $i] :
                  ( ( SV323 != SY2401 )
                  | ( SV610 != SY2402 )
                  | ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
                    = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2401 ) @ SY2402 ) ) )
            | ~ ~ ( ~ ! [SY2403: $i] :
                        ( ! [SY2404: $i] :
                            ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
                           != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2403 ) @ SY2404 ) )
                        | ( SV323 = SY2403 ) )
                  | ~ ! [SY2405: $i,SY2406: $i] :
                        ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
                         != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2405 ) @ SY2406 ) )
                        | ( SV610 = SY2406 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2759]) ).

thf(3096,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)],[2760]) ).

thf(3097,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)],[2760]) ).

thf(3098,plain,
    ! [SV611: $i,SV324: $i] :
      ( ( ~ ( ~ ~ ( ~ ! [SY2407: $i,SY2408: $i] :
                        ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2407 )
                         != ( hAPP_val_option_val @ some_val @ SY2408 ) )
                        | ( ( hAPP_l207779698on_val @ SV611 @ SY2407 )
                          = none_val )
                        | ( ( hAPP_l207779698on_val @ SV611 @ SY2407 )
                          = ( hAPP_val_option_val @ some_val @ SY2408 ) ) )
                  | ~ ! [SY2409: $i,SY2410: $i] :
                        ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2409 )
                         != ( hAPP_val_option_val @ some_val @ SY2410 ) )
                        | ( ( hAPP_l207779698on_val @ SV324 @ SY2409 )
                          = ( hAPP_val_option_val @ some_val @ SY2410 ) )
                        | ( ( hAPP_l207779698on_val @ SV611 @ SY2409 )
                          = ( hAPP_val_option_val @ some_val @ SY2410 ) ) ) )
            | ~ ~ ( ~ ! [SY2411: $i,SY2412: $i] :
                        ( ( ( hAPP_l207779698on_val @ SV611 @ SY2411 )
                         != none_val )
                        | ( ( hAPP_l207779698on_val @ SV324 @ SY2411 )
                         != ( hAPP_val_option_val @ some_val @ SY2412 ) )
                        | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2411 )
                          = ( hAPP_val_option_val @ some_val @ SY2412 ) ) )
                  | ~ ! [SY2413: $i,SY2414: $i] :
                        ( ( ( hAPP_l207779698on_val @ SV611 @ SY2413 )
                         != ( hAPP_val_option_val @ some_val @ SY2414 ) )
                        | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2413 )
                          = ( hAPP_val_option_val @ some_val @ SY2414 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2761]) ).

thf(3099,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SX0 @ ( sK3_X_1 @ SX1 @ SX0 ) ) ) @ ( hAPP_list_char_bool @ SX1 @ ( sK3_X_1 @ SX1 @ SX0 ) ) ) )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2762]) ).

thf(3100,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) )
            | ! [SX2: $i] : ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SX0 @ SX2 ) ) @ ( hAPP_list_char_bool @ SX1 @ SX2 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2762]) ).

thf(3101,plain,
    ! [SV612: $i,SV325: $i] :
      ( ( ! [SY2415: $i] :
            ~ ( ~ ! [SY2416: $i,SY2417: $i] :
                    ( ~ ( hBOOL @ ( wTrt @ SV325 @ SV612 @ SY2415 @ SY2416 @ SY2417 ) )
                    | ( hBOOL @ ( wTrt_1 @ SV325 @ SV612 @ SY2415 @ SY2416 @ SY2417 ) ) )
              | ~ ! [SY2418: $i,SY2419: $i] :
                    ( ~ ( hBOOL @ ( wTrt_1 @ SV325 @ SV612 @ SY2415 @ SY2418 @ SY2419 ) )
                    | ( hBOOL @ ( wTrt @ SV325 @ SV612 @ SY2415 @ SY2418 @ SY2419 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2763]) ).

thf(3102,plain,
    ! [SV613: $i,SV326: $i] :
      ( ( ! [SY2420: $i] :
            ~ ( ~ ! [SY2421: $i,SY2422: $i] :
                    ( ~ ( hBOOL @ ( wTrts @ SV326 @ SV613 @ SY2420 @ SY2421 @ SY2422 ) )
                    | ( hBOOL @ ( wTrts_1 @ SV326 @ SV613 @ SY2420 @ SY2421 @ SY2422 ) ) )
              | ~ ! [SY2423: $i,SY2424: $i] :
                    ( ~ ( hBOOL @ ( wTrts_1 @ SV326 @ SV613 @ SY2420 @ SY2423 @ SY2424 ) )
                    | ( hBOOL @ ( wTrts @ SV326 @ SV613 @ SY2420 @ SY2423 @ SY2424 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2764]) ).

thf(3103,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) )
            | ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK27_A_1 @ SX0 ) ) @ ( sK28_SY1143 @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2765]) ).

thf(3104,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 @ ( sK26_X1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2765]) ).

thf(3105,plain,
    ! [SV614: $i,SV329: $i,SV3: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV3 @ SV329 )
         != ( hAPP_val_option_val @ some_val @ SV614 ) )
        | ( ( fun_up1149430426on_val @ SV3 @ SV329 @ ( hAPP_val_option_val @ some_val @ SV614 ) )
          = SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2768]) ).

thf(3106,plain,
    ! [SV615: $i,SV330: $i,SV4: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ SV4 @ SV330 )
         != ( hAPP_val_option_val @ some_val @ SV615 ) )
        | ( ( fun_up204312361on_val @ SV4 @ SV330 @ ( hAPP_val_option_val @ some_val @ SV615 ) )
          = SV4 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2769]) ).

thf(3107,plain,
    ! [SV616: $i,SV331: $i,SV5: $i] :
      ( ( ! [SY2425: $i,SY2426: $i] :
            ( ( ( fun_up1149430426on_val @ SV5 @ SV331 @ ( hAPP_val_option_val @ some_val @ SV616 ) )
             != ( fun_up1149430426on_val @ SY2425 @ SV331 @ ( hAPP_val_option_val @ some_val @ SY2426 ) ) )
            | ( SV616 = SY2426 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2770]) ).

thf(3108,plain,
    ! [SV617: $i,SV332: $i,SV6: $i] :
      ( ( ! [SY2427: $i,SY2428: $i] :
            ( ( ( fun_up204312361on_val @ SV6 @ SV332 @ ( hAPP_val_option_val @ some_val @ SV617 ) )
             != ( fun_up204312361on_val @ SY2427 @ SV332 @ ( hAPP_val_option_val @ some_val @ SY2428 ) ) )
            | ( SV617 = SY2428 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2771]) ).

thf(3109,plain,
    ! [SV7: $i,SV333: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV333 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK74_A_1 @ SV333 @ SV7 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK75_SY1174 @ SV333 @ SV7 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK76_SY1177 @ SV333 @ SV7 ) ) @ ( sK77_SY1179 @ SV333 @ SV7 ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV333 @ SV7 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2772]) ).

thf(3110,plain,
    ! [SV618: $i,SV334: $i,SV9: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV9 @ SV334 )
         != SV618 )
        | ( ( fun_up1149430426on_val @ SV9 @ SV334 @ SV618 )
          = SV9 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2773]) ).

thf(3111,plain,
    ! [SV335: $i,SV10: $i,SV619: $i] :
      ( ( ! [SY2429: $i] :
            ( ( SV619 = SY2429 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV10 @ SY2429 @ SV335 ) @ SV619 )
              = ( hAPP_l207779698on_val @ SV10 @ SV619 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2774]) ).

thf(3112,plain,
    ! [SV620: $i,SV336: $i,SV11: $i] :
      ( ( ! [SY2430: $i,SY2431: $i] :
            ( ( SY2430 = SY2431 )
            | ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SY2430 @ SV336 ) @ SY2431 @ SV620 )
              = ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SY2431 @ SV620 ) @ SY2430 @ SV336 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2775]) ).

thf(3113,plain,
    ! [SV621: $i,SV337: $i,SV12: $i] :
      ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV12 @ SV337 @ SV621 ) @ SV337 )
        = SV621 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2776]) ).

thf(3114,plain,
    ! [SV622: $i,SV338: $i,SV13: $i] :
      ( ( ! [SY2432: $i] :
            ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV13 @ SV338 @ SV622 ) @ SV338 @ SY2432 )
            = ( fun_up1149430426on_val @ SV13 @ SV338 @ SY2432 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2777]) ).

thf(3115,plain,
    ! [SV16: $i,SV339: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV339 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK52_A_1 @ SV339 @ SV16 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK53_SY1156 @ SV339 @ SV16 ) ) @ ( sK54_SY1158 @ SV339 @ SV16 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV339 @ SV16 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2778]) ).

thf(3116,plain,
    ! [SV17: $i,SV340: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV340 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK49_A_1 @ SV340 @ SV17 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK50_SY1153 @ SV340 @ SV17 ) ) @ ( sK51_SY1155 @ SV340 @ SV17 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV340 @ SV17 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2779]) ).

thf(3117,plain,
    ! [SV623: $i,SV341: $i,SV24: $i] :
      ( ( ! [SY2433: $i,SY2434: $i] :
            ( ! [SY2435: $i,SY2436: $i] :
                ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV24 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV341 ) @ SV623 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2433 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2434 ) @ SY2435 ) ) ) ) @ ( red @ SY2436 ) ) )
            | ( hBOOL @ ( hext @ SV341 @ SY2434 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2780]) ).

thf(3118,plain,
    ! [SV25: $i,SV624: $i,SV342: $i] :
      ( ( ! [SY2437: $i,SY2438: $i,SY2439: $i,SY2440: $i,SY2441: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV342 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV624 ) @ SY2437 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2438 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2439 ) @ SY2440 ) ) ) ) @ ( red @ SY2441 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV342 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV624 ) @ ( map_ad325961431ar_val @ SV25 @ SY2437 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2438 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2439 ) @ ( map_ad325961431ar_val @ SV25 @ SY2440 ) ) ) ) ) @ ( red @ SY2441 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2781]) ).

thf(3119,plain,
    ! [SV26: $i,SV625: $i,SV343: $i] :
      ( ( ! [SY2442: $i] :
            ( ( ( hAPP_l207779698on_val @ SV343 @ SV625 )
             != ( hAPP_val_option_val @ some_val @ SY2442 ) )
            | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV26 @ SV343 ) @ SV625 )
              = ( hAPP_val_option_val @ some_val @ SY2442 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2782]) ).

thf(3120,plain,
    ! [SV27: $i,SV626: $i,SV344: $i] :
      ( ( ! [SY2443: $i,SY2444: $i,SY2445: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV344 ) @ SV626 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2443 ) @ SY2444 ) ) ) @ ( red @ SY2445 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV27 @ SV344 ) ) @ SV626 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV27 @ SY2443 ) ) @ SY2444 ) ) ) @ ( red @ SY2445 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2783]) ).

thf(3121,plain,
    ! [SV28: $i,SV627: $i,SV345: $i] :
      ( ( ! [SY2446: $i,SY2447: $i,SY2448: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV345 ) @ SV627 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2446 ) @ SY2447 ) ) ) @ ( red @ SY2448 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV345 @ SV28 ) ) @ SV627 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY2446 @ SV28 ) ) @ SY2447 ) ) ) @ ( red @ SY2448 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2784]) ).

thf(3122,plain,
    ! [SV628: $i,SV346: $i,SV29: $i] :
      ( ( ! [SY2449: $i] :
            ( ( map_ad1185064968ar_val @ SV29 @ ( fun_up204312361on_val @ SV346 @ SV628 @ ( hAPP_val_option_val @ some_val @ SY2449 ) ) )
            = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ SV29 @ SV346 ) @ SV628 @ ( hAPP_val_option_val @ some_val @ SY2449 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2785]) ).

thf(3123,plain,
    ! [SV629: $i,SV347: $i,SV30: $i] :
      ( ( ! [SY2450: $i] :
            ( ( map_ad325961431ar_val @ SV30 @ ( fun_up1149430426on_val @ SV347 @ SV629 @ ( hAPP_val_option_val @ some_val @ SY2450 ) ) )
            = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ SV30 @ SV347 ) @ SV629 @ ( hAPP_val_option_val @ some_val @ SY2450 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2786]) ).

thf(3124,plain,
    ! [SV348: $i,SV31: $i,SV630: $i] :
      ( ( ! [SY2451: $i,SY2452: $i,SY2453: $i] :
            ( ! [SY2454: $i] :
                ~ ( hBOOL @ ( wTrt_1 @ SV630 @ SY2451 @ SY2452 @ SY2453 @ SY2454 ) )
            | ~ ( hBOOL @ ( wTrt_1 @ SV630 @ SY2451 @ SY2452 @ SV31 @ SV348 ) )
            | ( hBOOL @ ( wTrt_1 @ SV630 @ SY2451 @ SY2452 @ ( seq_list_char @ SY2453 @ SV31 ) @ SV348 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2787]) ).

thf(3125,plain,
    ! [SV33: $i,SV631: $i,SV349: $i] :
      ( ( ! [SY2455: $i,SY2456: $i,SY2457: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SV349 @ SV631 @ SY2455 @ SY2456 @ SY2457 ) )
            | ~ ( hBOOL @ ( hext @ SV631 @ SV33 ) )
            | ( hBOOL @ ( wTrt_1 @ SV349 @ SV33 @ SY2455 @ SY2456 @ SY2457 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2788]) ).

thf(3126,plain,
    ! [SV34: $i,SV632: $i,SV350: $i] :
      ( ( ~ ( hBOOL @ ( hext @ SV350 @ SV632 ) )
        | ~ ( hBOOL @ ( hext @ SV632 @ SV34 ) )
        | ( hBOOL @ ( hext @ SV350 @ SV34 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2789]) ).

thf(3127,plain,
    ! [SV633: $i,SV351: $i,SV37: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV37 @ SV351 @ ( hAPP_val_option_val @ some_val @ SV633 ) ) @ ( sK23_X_1 @ SV633 @ SV351 @ SV37 ) )
         != none_val ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2792]) ).

thf(3128,plain,
    ! [SV38: $i,SV634: $i,SV352: $i] :
      ( ( ! [SY2458: $i,SY2459: $i,SY2460: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV352 ) @ SV634 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2458 ) @ SY2459 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2460 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV352 @ SV38 ) ) @ SV634 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY2458 @ SV38 ) ) @ SY2459 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2460 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2793]) ).

thf(3129,plain,
    ! [SV39: $i,SV635: $i,SV353: $i] :
      ( ( ! [SY2461: $i,SY2462: $i,SY2463: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV353 ) @ SV635 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2461 ) @ SY2462 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2463 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV39 @ SV353 ) ) @ SV635 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV39 @ SY2461 ) ) @ SY2462 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2463 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2794]) ).

thf(3130,plain,
    ! [SV40: $i,SV636: $i,SV354: $i] :
      ( ( ! [SY2464: $i,SY2465: $i,SY2466: $i,SY2467: $i,SY2468: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV354 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV636 ) @ SY2464 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2465 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2466 ) @ SY2467 ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2468 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV354 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV636 ) @ ( map_ad325961431ar_val @ SV40 @ SY2464 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2465 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2466 ) @ ( map_ad325961431ar_val @ SV40 @ SY2467 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2468 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2795]) ).

thf(3131,plain,
    ! [SV356: $i,SV42: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV42 ) @ SV356 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV42 ) @ ( transi2024712006on_val @ SV356 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2797]) ).

thf(3132,plain,
    ! [SV357: $i,SV43: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV43 ) @ SV357 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV357 ) @ SV43 ) )
          | ( SV43 = SV357 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2798]) ).

thf(3133,plain,
    ! [SV44: $i,SV637: $i,SV358: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV358 ) @ SV637 ) )
        | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV44 ) @ SV358 ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV44 ) @ SV637 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2799]) ).

thf(3134,plain,
    ! [SV359: $i,SV45: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV45 ) @ SV359 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ ( transi2024712006on_val @ SV45 ) ) @ ( transi2024712006on_val @ SV359 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2800]) ).

thf(3135,plain,
    ! [SV360: $i,SV46: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV46 ) @ SV360 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV360 ) @ ( transi2024712006on_val @ SV46 ) ) )
          | ( ( transi2024712006on_val @ SV360 )
            = ( transi2024712006on_val @ SV46 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2801]) ).

thf(3136,plain,
    ! [SV361: $i,SV47: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV47 ) @ ( transi2024712006on_val @ SV361 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ ( transi2024712006on_val @ SV47 ) ) @ ( transi2024712006on_val @ SV361 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2802]) ).

thf(3137,plain,
    ! [SV362: $i,SV50: $i] :
      ( ( ( ( SV50 != SV362 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV50 ) @ SV362 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2803]) ).

thf(3138,plain,
    ! [SV363: $i,SV51: $i] :
      ( ( ( ( SV51 != SV363 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV363 ) @ SV51 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2804]) ).

thf(3139,plain,
    ! [SV52: $i,SV638: $i,SV364: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV364 ) @ SV638 ) )
        | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV52 ) @ SV364 ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV52 ) @ SV638 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2805]) ).

thf(3140,plain,
    ! [SV53: $i,SV639: $i,SV365: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV365 ) @ SV639 ) )
        | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV639 ) @ SV53 ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV365 ) @ SV53 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2806]) ).

thf(3141,plain,
    ! [SV54: $i,SV640: $i,SV366: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV366 ) @ SV640 ) )
        | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV54 ) @ SV366 ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV54 ) @ SV640 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2807]) ).

thf(3142,plain,
    ! [SV55: $i,SV641: $i,SV367: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV367 ) @ SV641 ) )
        | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV641 ) @ SV55 ) )
        | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV367 ) @ SV55 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2808]) ).

thf(3143,plain,
    ! [SV56: $i,SV642: $i,SV368: $i] :
      ( ( ! [SY2469: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV368 ) @ SV642 ) ) @ SY2469 ) )
            | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV642 ) @ SV56 ) ) @ ( transi2024712006on_val @ SY2469 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV368 ) @ SV56 ) ) @ ( transi2024712006on_val @ SY2469 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2809]) ).

thf(3144,plain,
    ! [SV57: $i,SV643: $i,SV369: $i] :
      ( ( ! [SY2470: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV369 ) @ SV643 ) ) @ ( transi2024712006on_val @ SY2470 ) ) )
            | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV643 ) @ SV57 ) ) @ SY2470 ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV369 ) @ SV57 ) ) @ ( transi2024712006on_val @ SY2470 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2810]) ).

thf(3145,plain,
    ! [SV58: $i,SV644: $i,SV370: $i] :
      ( ( ! [SY2471: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV370 ) @ SV644 ) ) @ ( transi2024712006on_val @ SY2471 ) ) )
            | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV644 ) @ SV58 ) ) @ ( transi2024712006on_val @ SY2471 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV370 ) @ SV58 ) ) @ ( transi2024712006on_val @ SY2471 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2811]) ).

thf(3146,plain,
    ! [SV61: $i,SV645: $i,SV371: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV371 ) @ SV645 ) )
        | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV61 ) @ SV371 ) )
        | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV61 ) @ SV645 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2813]) ).

thf(3147,plain,
    ! [SV372: $i,SV62: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV62 ) @ SV372 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV372 ) @ SV62 ) )
          | ( SV372 = SV62 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2814]) ).

thf(3148,plain,
    ! [SV63: $i,SV646: $i,SV373: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV373 ) @ SV646 ) )
        | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV646 ) @ SV63 ) )
        | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV373 ) @ SV63 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2815]) ).

thf(3149,plain,
    ! [SV374: $i,SV64: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV64 ) @ SV374 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV374 ) @ SV64 ) )
          | ( SV64 = SV374 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2816]) ).

thf(3150,plain,
    ! [SV65: $i,SV647: $i,SV375: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV375 ) @ SV647 ) )
        | ( SV375 != SV65 )
        | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV65 ) @ SV647 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2817]) ).

thf(3151,plain,
    ! [SV66: $i,SV648: $i,SV376: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV376 ) @ SV648 ) )
        | ( SV648 != SV66 )
        | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV376 ) @ SV66 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2818]) ).

thf(3152,plain,
    ! [SV67: $i,SV649: $i,SV377: $i] :
      ( ( ( SV377 != SV649 )
        | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV67 ) @ SV649 ) )
        | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV67 ) @ SV377 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2819]) ).

thf(3153,plain,
    ! [SV68: $i,SV650: $i,SV378: $i] :
      ( ( ( SV378 != SV650 )
        | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV650 ) @ SV68 ) )
        | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV378 ) @ SV68 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2820]) ).

thf(3154,plain,
    ! [SV379: $i,SV69: $i] :
      ( ( ( ( SV69 != SV379 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV69 ) @ SV379 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2821]) ).

thf(3155,plain,
    ! [SV651: $i,SV380: $i,SV70: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV70 ) @ ( semila751111325l_bool @ SV380 @ SV651 ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV70 ) @ SV380 ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV70 ) @ SV651 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2822]) ).

thf(3156,plain,
    ! [SV652: $i,SV381: $i,SV71: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV71 @ SV381 ) @ SV652 ) )
        | ( hBOOL @ ( hAPP_list_char_bool @ SV71 @ SV652 ) )
        | ( hBOOL @ ( hAPP_list_char_bool @ SV381 @ SV652 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2823]) ).

thf(3157,plain,
    ! [SV653: $i,SV382: $i,SV72: $i] :
      ( ( ! [SY2472: $i,SY2473: $i,SY2474: $i,SY2475: $i,SY2476: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2472 ) @ SY2473 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2474 ) @ SY2475 ) ) ) @ ( red @ SY2476 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2472 @ SV72 @ SV382 @ SV653 ) ) @ SY2473 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2474 @ SV72 @ SV382 @ SV653 ) ) @ SY2475 ) ) ) @ ( red @ SY2476 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2824]) ).

thf(3158,plain,
    ! [SV654: $i,SV383: $i,SV73: $i] :
      ( ( ! [SY2477: $i,SY2478: $i,SY2479: $i,SY2480: $i,SY2481: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2477 ) @ SY2478 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2479 ) @ SY2480 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2481 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2477 @ SV73 @ SV383 @ SV654 ) ) @ SY2478 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2479 @ SV73 @ SV383 @ SV654 ) ) @ SY2480 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2481 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2825]) ).

thf(3159,plain,
    ! [SV655: $i,SV384: $i,SV74: $i] :
      ( ( ! [SY2482: $i,SY2483: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ ( throw_list_char @ SV74 ) @ SV384 @ SV655 ) ) @ SY2482 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV74 ) ) @ SY2482 ) ) ) @ ( red @ SY2483 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2826]) ).

thf(3160,plain,
    ! [SV656: $i,SV385: $i,SV75: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( throw_list_char @ SV75 ) ) ) @ SV385 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV75 ) ) @ SV385 ) ) ) @ ( red @ SV656 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2827]) ).

thf(3161,plain,
    ! [SV657: $i,SV386: $i,SV76: $i] :
      ( ( ! [SY2484: $i,SY2485: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV76 ) @ SV386 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV657 ) @ SY2484 ) ) ) @ ( red @ SY2485 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV76 ) ) @ SV386 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV657 ) ) @ SY2484 ) ) ) @ ( red @ SY2485 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2828]) ).

thf(3162,plain,
    ! [SV387: $i,SV77: $i,SV658: $i] :
      ( ( ! [SY2486: $i,SY2487: $i,SY2488: $i,SY2489: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV658 ) @ SY2486 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2487 ) @ SY2488 ) ) ) @ ( red @ SY2489 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV658 @ SV77 @ SV387 ) ) @ SY2486 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY2487 @ SV77 @ SV387 ) ) @ SY2488 ) ) ) @ ( red @ SY2489 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2829]) ).

thf(3163,plain,
    ! [SV659: $i,SV388: $i,SV78: $i] :
      ( ( ! [SY2490: $i,SY2491: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV78 ) @ SV388 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV659 ) @ SY2490 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2491 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV78 ) ) @ SV388 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV659 ) ) @ SY2490 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2491 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2830]) ).

thf(3164,plain,
    ! [SV660: $i,SV389: $i,SV79: $i] :
      ( ( ! [SY2492: $i,SY2493: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV79 ) @ SV389 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV660 ) ) @ SY2492 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2493 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV79 ) ) @ SV389 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV660 ) ) @ SY2492 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2493 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2831]) ).

thf(3165,plain,
    ! [SV661: $i,SV390: $i,SV80: $i] :
      ( ( ! [SY2494: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV80 @ ( throw_list_char @ SV390 ) ) ) @ SV661 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV390 ) ) @ SV661 ) ) ) @ ( red @ SY2494 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2832]) ).

thf(3166,plain,
    ! [SV662: $i,SV391: $i,SV81: $i] :
      ( ( ! [SY2495: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( throw_list_char @ SV81 ) @ SV391 ) ) @ SV662 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV81 ) ) @ SV662 ) ) ) @ ( red @ SY2495 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2833]) ).

thf(3167,plain,
    ! [SV663: $i,SV392: $i,SV82: $i] :
      ( ( ! [SY2496: $i,SY2497: $i,SY2498: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( throw_list_char @ SV82 ) @ SV392 @ SV663 @ SY2496 ) ) @ SY2497 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV82 ) ) @ SY2497 ) ) ) @ ( red @ SY2498 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2834]) ).

thf(3168,plain,
    ! [SV393: $i,SV83: $i,SV664: $i] :
      ( ( ! [SY2499: $i,SY2500: $i,SY2501: $i,SY2502: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV664 ) @ SY2499 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2500 ) @ SY2501 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2502 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV664 @ SV83 @ SV393 ) ) @ SY2499 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY2500 @ SV83 @ SV393 ) ) @ SY2501 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2502 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2835]) ).

thf(3169,plain,
    ! [SV394: $i,SV84: $i,SV665: $i] :
      ( ( ! [SY2503: $i,SY2504: $i,SY2505: $i,SY2506: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV665 ) @ SY2503 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2504 ) @ SY2505 ) ) ) @ ( red @ SY2506 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV665 @ SV84 @ SV394 ) ) @ SY2503 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY2504 @ SV84 @ SV394 ) ) @ SY2505 ) ) ) @ ( red @ SY2506 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2836]) ).

thf(3170,plain,
    ! [SV666: $i,SV395: $i,SV85: $i] :
      ( ( ! [SY2507: $i,SY2508: $i,SY2509: $i,SY2510: $i,SY2511: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2507 ) @ SY2508 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2509 ) @ SY2510 ) ) ) @ ( red @ SY2511 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY2507 @ SV85 @ SV395 @ SV666 ) ) @ SY2508 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY2509 @ SV85 @ SV395 @ SV666 ) ) @ SY2510 ) ) ) @ ( red @ SY2511 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2837]) ).

thf(3171,plain,
    ! [SV667: $i,SV396: $i,SV86: $i] :
      ( ( ! [SY2512: $i,SY2513: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( throw_list_char @ SV86 ) @ SV396 @ SV667 ) ) @ SY2512 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV86 ) ) @ SY2512 ) ) ) @ ( red @ SY2513 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2838]) ).

thf(3172,plain,
    ! [SV397: $i,SV87: $i,SV668: $i] :
      ( ( ! [SY2514: $i,SY2515: $i,SY2516: $i,SY2517: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV668 ) @ SY2514 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2515 ) @ SY2516 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2517 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV668 @ SV87 @ SV397 ) ) @ SY2514 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY2515 @ SV87 @ SV397 ) ) @ SY2516 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2517 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2839]) ).

thf(3173,plain,
    ! [SV669: $i,SV398: $i,SV88: $i] :
      ( ( ! [SY2518: $i,SY2519: $i,SY2520: $i,SY2521: $i,SY2522: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2518 ) @ SY2519 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2520 ) @ SY2521 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2522 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY2518 @ SV88 @ SV398 @ SV669 ) ) @ SY2519 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY2520 @ SV88 @ SV398 @ SV669 ) ) @ SY2521 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2522 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2840]) ).

thf(3174,plain,
    ! [SV89: $i,SV670: $i,SV399: $i] :
      ( ( ! [SY2523: $i,SY2524: $i,SY2525: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV399 ) @ SV670 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2523 ) @ SY2524 ) ) ) @ ( red @ SY2525 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV89 @ SV399 ) ) @ SV670 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV89 @ SY2523 ) ) @ SY2524 ) ) ) @ ( red @ SY2525 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2841]) ).

thf(3175,plain,
    ! [SV671: $i,SV400: $i,SV90: $i] :
      ( ( ! [SY2526: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV90 @ ( throw_list_char @ SV400 ) ) ) @ SV671 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV400 ) ) @ SV671 ) ) ) @ ( red @ SY2526 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2842]) ).

thf(3176,plain,
    ! [SV91: $i,SV672: $i,SV401: $i] :
      ( ( ! [SY2527: $i,SY2528: $i,SY2529: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV401 ) @ SV672 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2527 ) @ SY2528 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2529 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV91 @ SV401 ) ) @ SV672 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV91 @ SY2527 ) ) @ SY2528 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2529 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2843]) ).

thf(3177,plain,
    ! [SV92: $i,SV402: $i] :
      ( ( ( ~ ( hBOOL @ ( preallocated @ SV402 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hext @ SV402 @ SV92 ) )
          | ( hBOOL @ ( preallocated @ SV92 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2844]) ).

thf(3178,plain,
    ! [SV403: $i,SV93: $i,SV673: $i] :
      ( ( ! [SY2530: $i,SY2531: $i,SY2532: $i] :
            ( ! [SY2533: $i] :
                ~ ( hBOOL @ ( wTrt @ SV673 @ SY2530 @ SY2531 @ SY2532 @ SY2533 ) )
            | ~ ( hBOOL @ ( wTrt @ SV673 @ SY2530 @ SY2531 @ SV93 @ SV403 ) )
            | ( hBOOL @ ( wTrt @ SV673 @ SY2530 @ SY2531 @ ( seq_list_char @ SY2532 @ SV93 ) @ SV403 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2845]) ).

thf(3179,plain,
    ! [SV674: $i,SV404: $i,SV94: $i] :
      ( ( ! [SY2534: $i,SY2535: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SV94 @ SV404 @ SV674 @ SY2534 @ SY2535 ) )
            | ( hBOOL @ ( wTrt @ SV94 @ SV404 @ SV674 @ SY2534 @ SY2535 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2846]) ).

thf(3180,plain,
    ! [SV675: $i,SV405: $i,SV95: $i] :
      ( ( ! [SY2536: $i,SY2537: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV95 @ SV405 @ SV675 @ SY2536 @ SY2537 ) )
            | ( hBOOL @ ( wTrt_1 @ SV95 @ SV405 @ SV675 @ SY2536 @ SY2537 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2847]) ).

thf(3181,plain,
    ! [SV406: $i,SV96: $i,SV676: $i] :
      ( ( ! [SY2538: $i,SY2539: $i,SY2540: $i,SY2541: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV676 ) @ SY2538 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2539 ) @ SY2540 ) ) ) @ ( red @ SY2541 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV676 @ SV96 @ SV406 ) ) @ SY2538 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SY2539 @ SV96 @ SV406 ) ) @ SY2540 ) ) ) @ ( red @ SY2541 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2848]) ).

thf(3182,plain,
    ! [SV677: $i,SV407: $i,SV97: $i] :
      ( ( ! [SY2542: $i,SY2543: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ ( throw_list_char @ SV97 ) @ SV407 @ SV677 ) ) @ SY2542 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV97 ) ) @ SY2542 ) ) ) @ ( red @ SY2543 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2849]) ).

thf(3183,plain,
    ! [SV408: $i,SV98: $i,SV678: $i] :
      ( ( ! [SY2544: $i,SY2545: $i,SY2546: $i,SY2547: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV678 ) @ SY2544 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2545 ) @ SY2546 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2547 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV678 @ SV98 @ SV408 ) ) @ SY2544 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SY2545 @ SV98 @ SV408 ) ) @ SY2546 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2547 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2850]) ).

thf(3184,plain,
    ! [SV409: $i,SV99: $i,SV679: $i] :
      ( ( ! [SY2548: $i,SY2549: $i,SY2550: $i,SY2551: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV679 ) @ SY2548 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2549 ) @ SY2550 ) ) ) @ ( red @ SY2551 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV679 @ SV99 @ SV409 ) ) @ SY2548 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SY2549 @ SV99 @ SV409 ) ) @ SY2550 ) ) ) @ ( red @ SY2551 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2851]) ).

thf(3185,plain,
    ! [SV680: $i,SV410: $i,SV100: $i] :
      ( ( ! [SY2552: $i,SY2553: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ ( throw_list_char @ SV100 ) @ SV410 @ SV680 ) ) @ SY2552 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV100 ) ) @ SY2552 ) ) ) @ ( red @ SY2553 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2852]) ).

thf(3186,plain,
    ! [SV411: $i,SV101: $i,SV681: $i] :
      ( ( ! [SY2554: $i,SY2555: $i,SY2556: $i,SY2557: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV681 ) @ SY2554 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2555 ) @ SY2556 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2557 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV681 @ SV101 @ SV411 ) ) @ SY2554 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SY2555 @ SV101 @ SV411 ) ) @ SY2556 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2557 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2853]) ).

thf(3187,plain,
    ! [SV102: $i,SV682: $i,SV412: $i] :
      ( ( ! [SY2558: $i,SY2559: $i,SY2560: $i] :
            ( ~ ( hBOOL @ ( wTrts_1 @ SV412 @ SV682 @ SY2558 @ SY2559 @ SY2560 ) )
            | ~ ( hBOOL @ ( hext @ SV682 @ SV102 ) )
            | ( hBOOL @ ( wTrts_1 @ SV412 @ SV102 @ SY2558 @ SY2559 @ SY2560 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2854]) ).

thf(3188,plain,
    ! [SV683: $i,SV413: $i,SV103: $i] :
      ( ( ! [SY2561: $i,SY2562: $i] :
            ( ~ ( hBOOL @ ( wTrts @ SV103 @ SV413 @ SV683 @ SY2561 @ SY2562 ) )
            | ( hBOOL @ ( wTrts_1 @ SV103 @ SV413 @ SV683 @ SY2561 @ SY2562 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2855]) ).

thf(3189,plain,
    ! [SV684: $i,SV414: $i,SV104: $i] :
      ( ( ! [SY2563: $i,SY2564: $i] :
            ( ~ ( hBOOL @ ( wTrts_1 @ SV104 @ SV414 @ SV684 @ SY2563 @ SY2564 ) )
            | ( hBOOL @ ( wTrts @ SV104 @ SV414 @ SV684 @ SY2563 @ SY2564 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2856]) ).

thf(3190,plain,
    ! [SV105: $i] :
      ( ( ( hBOOL @ ( hAPP_bool_bool @ fNot @ SV105 ) )
        = $false )
      | ( ( ~ ( hBOOL @ SV105 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2857]) ).

thf(3191,plain,
    ! [SV685: $i,SV415: $i,SV109: $i] :
      ( ( ! [SY2565: $i] : ( is_bool @ ( conf_P373316194t_char @ SV109 @ SV415 @ SV685 @ SY2565 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2859]) ).

thf(3192,plain,
    ! [SV686: $i,SV417: $i,SV113: $i] :
      ( ( is_bool @ ( list_all2_ty_ty @ SV113 @ SV417 @ SV686 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2861]) ).

thf(3193,plain,
    ! [SV687: $i,SV419: $i,SV115: $i] :
      ( ( ! [SY2566: $i,SY2567: $i] : ( is_bool @ ( wTrt @ SV115 @ SV419 @ SV687 @ SY2566 @ SY2567 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2863]) ).

thf(3194,plain,
    ! [SV688: $i,SV420: $i,SV116: $i] :
      ( ( ! [SY2568: $i,SY2569: $i] : ( is_bool @ ( wTrts @ SV116 @ SV420 @ SV688 @ SY2568 @ SY2569 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2864]) ).

thf(3195,plain,
    ! [SV689: $i,SV422: $i,SV118: $i] :
      ( ( is_bool @ ( fields1147507508t_char @ SV118 @ SV422 @ SV689 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2866]) ).

thf(3196,plain,
    ! [SV690: $i,SV424: $i,SV121: $i] :
      ( ( ! [SY2570: $i,SY2571: $i] : ( is_bool @ ( wTrt_1 @ SV121 @ SV424 @ SV690 @ SY2570 @ SY2571 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2868]) ).

thf(3197,plain,
    ! [SV691: $i,SV425: $i,SV122: $i] :
      ( ( ! [SY2572: $i,SY2573: $i] : ( is_bool @ ( wTrts_1 @ SV122 @ SV425 @ SV691 @ SY2572 @ SY2573 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2869]) ).

thf(3198,plain,
    ! [SV124: $i,SV427: $i] :
      ( ( ( ~ ( is_bool @ SV427 ) )
        = $true )
      | ( ( is_bool @ ( hAPP_bool_bool @ SV124 @ SV427 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2871]) ).

thf(3199,plain,
    ! [SV692: $i,SV544: $i,SV241: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ SV241 @ SV544 )
         != SV692 )
        | ( ( fun_up204312361on_val @ SV241 @ SV544 @ SV692 )
          = SV241 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2988]) ).

thf(3200,plain,
    ! [SV545: $i,SV242: $i,SV693: $i] :
      ( ( ! [SY2574: $i] :
            ( ( SV693 = SY2574 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV242 @ SY2574 @ SV545 ) @ SV693 )
              = ( hAPP_P2094403585on_val @ SV242 @ SV693 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2989]) ).

thf(3201,plain,
    ! [SV694: $i,SV546: $i,SV243: $i] :
      ( ( ! [SY2575: $i,SY2576: $i] :
            ( ( SY2575 = SY2576 )
            | ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV243 @ SY2575 @ SV546 ) @ SY2576 @ SV694 )
              = ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV243 @ SY2576 @ SV694 ) @ SY2575 @ SV546 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2990]) ).

thf(3202,plain,
    ! [SV695: $i,SV547: $i,SV244: $i] :
      ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV244 @ SV547 @ SV695 ) @ SV547 )
        = SV695 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2991]) ).

thf(3203,plain,
    ! [SV696: $i,SV548: $i,SV245: $i] :
      ( ( ! [SY2577: $i] :
            ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV245 @ SV548 @ SV696 ) @ SV548 @ SY2577 )
            = ( fun_up204312361on_val @ SV245 @ SV548 @ SY2577 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2992]) ).

thf(3204,plain,
    ! [SV697: $i,SV549: $i,SV246: $i] :
      ( ( ( map_ad325961431ar_val @ SV246 @ ( map_ad325961431ar_val @ SV549 @ SV697 ) )
        = ( map_ad325961431ar_val @ ( map_ad325961431ar_val @ SV246 @ SV549 ) @ SV697 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2993]) ).

thf(3205,plain,
    ! [SV698: $i,SV550: $i,SV247: $i] :
      ( ( ! [SY2578: $i,SY2579: $i] :
            ( ( block_list_char @ SV247 @ SV550 @ SV698 )
           != ( lAss_list_char @ SY2578 @ SY2579 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2994]) ).

thf(3206,plain,
    ! [SV699: $i,SV551: $i,SV248: $i] :
      ( ( ! [SY2580: $i,SY2581: $i] :
            ( ( block_list_char @ SV248 @ SV551 @ SV699 )
           != ( seq_list_char @ SY2580 @ SY2581 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2995]) ).

thf(3207,plain,
    ! [SV700: $i,SV552: $i,SV249: $i] :
      ( ( ! [SY2582: $i,SY2583: $i] :
            ( ( lAss_list_char @ SV249 @ SV552 )
           != ( block_list_char @ SV700 @ SY2582 @ SY2583 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2996]) ).

thf(3208,plain,
    ! [SV701: $i,SV553: $i,SV250: $i] :
      ( ( ! [SY2584: $i] :
            ( ( seq_list_char @ SV250 @ SV553 )
           != ( lAss_list_char @ SV701 @ SY2584 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2997]) ).

thf(3209,plain,
    ! [SV702: $i,SV554: $i,SV251: $i] :
      ( ( ! [SY2585: $i] :
            ( ( lAss_list_char @ SV251 @ SV554 )
           != ( seq_list_char @ SV702 @ SY2585 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2998]) ).

thf(3210,plain,
    ! [SV703: $i,SV555: $i,SV252: $i] :
      ( ( ! [SY2586: $i,SY2587: $i] :
            ( ( seq_list_char @ SV252 @ SV555 )
           != ( block_list_char @ SV703 @ SY2586 @ SY2587 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2999]) ).

thf(3211,plain,
    ! [SV704: $i,SV556: $i,SV253: $i] :
      ( ( ! [SY2588: $i,SY2589: $i,SY2590: $i] :
            ( ! [SY2591: $i] :
                ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV253 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV556 ) @ SV704 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2588 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2589 ) @ SY2590 ) ) ) ) @ ( red @ SY2591 ) ) )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ ( dom_list_char_val @ SV704 ) ) @ ( dom_list_char_val @ SY2590 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3000]) ).

thf(3212,plain,
    ! [SV254: $i,SV705: $i,SV557: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SV557 @ SV705 ) )
        | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV557 ) @ SV254 ) )
        | ( hBOOL @ ( hAPP_list_char_bool @ SV254 @ SV705 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3001]) ).

thf(3213,plain,
    ! [SV255: $i,SV706: $i,SV558: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV558 ) @ SV706 ) )
        | ~ ( hBOOL @ ( hAPP_list_char_bool @ SV558 @ SV255 ) )
        | ( hBOOL @ ( hAPP_list_char_bool @ SV706 @ SV255 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3002]) ).

thf(3214,plain,
    ! [SV707: $i,SV559: $i,SV256: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV256 @ SV559 @ ( hAPP_val_option_val @ some_val @ SV707 ) ) @ ( sK12_X_1 @ SV707 @ SV559 @ SV256 ) )
         != none_val ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3003]) ).

thf(3215,plain,
    ! [SV258: $i,SV708: $i,SV560: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV560 ) @ SV708 ) )
        | ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SV560 @ SV258 ) ) @ ( hAPP_list_char_bool @ SV708 @ SV258 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3004]) ).

thf(3216,plain,
    ! [SV259: $i,SV709: $i,SV561: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV561 ) @ SV709 ) )
        | ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SV561 @ SV259 ) ) @ ( hAPP_list_char_bool @ SV709 @ SV259 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3005]) ).

thf(3217,plain,
    ! [SV260: $i] :
      ( ( ( hBOOL @ ( wf_pro755087577t_char @ wf_J_mdecl @ SV260 ) )
        = $false )
      | ( ( hBOOL @ ( wf_pro755087577t_char @ wwf_J_mdecl @ SV260 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3006]) ).

thf(3218,plain,
    ! [SV562: $i,SV261: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SV261 @ ( sK2_X_1 @ SV562 @ SV261 ) ) ) @ ( hAPP_list_char_bool @ SV562 @ ( sK2_X_1 @ SV562 @ SV261 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV261 ) @ SV562 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3007]) ).

thf(3219,plain,
    ! [SV710: $i,SV565: $i,SV265: $i] :
      ( ( ! [SY2592: $i] :
            ( ( fv @ ( fAss_list_char @ SV265 @ SV565 @ SV710 @ SY2592 ) )
            = ( semila919158006r_bool @ ( fv @ SV265 ) @ ( fv @ SY2592 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3010]) ).

thf(3220,plain,
    ! [SV711: $i,SV566: $i,SV267: $i] :
      ( ( ( fv @ ( fAcc_list_char @ SV267 @ SV566 @ SV711 ) )
        = ( fv @ SV267 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3011]) ).

thf(3221,plain,
    ! [SV567: $i,SV268: $i,SV712: $i] :
      ( ( ! [SY2593: $i,SY2594: $i,SY2595: $i,SY2596: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV712 ) @ SY2593 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2594 ) ) @ SY2595 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2596 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV712 @ SV268 @ SV567 ) ) @ SY2593 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2594 ) ) @ SY2595 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2596 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3012]) ).

thf(3222,plain,
    ! [SV269: $i,SV713: $i,SV568: $i] :
      ( ( ! [SY2597: $i,SY2598: $i,SY2599: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV568 ) @ SV713 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2597 ) ) @ SY2598 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2599 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV269 @ SV568 ) ) @ SV713 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2597 ) ) @ SY2598 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2599 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3013]) ).

thf(3223,plain,
    ! [SV270: $i,SV714: $i,SV569: $i] :
      ( ( ! [SY2600: $i,SY2601: $i,SY2602: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV569 ) @ SV714 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2600 ) ) @ SY2601 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2602 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV569 @ SV270 ) ) @ SV714 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2600 ) ) @ SY2601 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2602 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3014]) ).

thf(3224,plain,
    ! [SV715: $i,SV570: $i,SV271: $i] :
      ( ( ! [SY2603: $i,SY2604: $i,SY2605: $i,SY2606: $i,SY2607: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2603 ) @ SY2604 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2605 ) ) @ SY2606 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2607 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2603 @ SV271 @ SV570 @ SV715 ) ) @ SY2604 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2605 ) ) @ SY2606 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2607 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3015]) ).

thf(3225,plain,
    ! [SV272: $i,SV716: $i,SV571: $i] :
      ( ( ! [SY2608: $i,SY2609: $i,SY2610: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SV571 @ SV716 @ SY2608 @ SY2609 @ SY2610 ) )
            | ~ ( hBOOL @ ( is_refT @ SY2610 ) )
            | ( hBOOL @ ( wTrt_1 @ SV571 @ SV716 @ SY2608 @ ( throw_list_char @ SY2609 ) @ SV272 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3016]) ).

thf(3226,plain,
    ! [SV717: $i,SV572: $i,SV273: $i] :
      ( ( ( fv @ ( binOp_list_char @ SV273 @ SV572 @ SV717 ) )
        = ( semila919158006r_bool @ ( fv @ SV273 ) @ ( fv @ SV717 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3017]) ).

thf(3227,plain,
    ! [SV573: $i,SV274: $i,SV718: $i] :
      ( ( ! [SY2611: $i,SY2612: $i,SY2613: $i,SY2614: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV718 ) @ SY2611 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2612 ) ) @ SY2613 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2614 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV718 @ SV274 @ SV573 ) ) @ SY2611 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2612 ) ) @ SY2613 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2614 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3018]) ).

thf(3228,plain,
    ! [SV276: $i,SV719: $i,SV575: $i] :
      ( ( ! [SY2615: $i,SY2616: $i,SY2617: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV575 ) @ SV719 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2615 ) ) @ SY2616 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2617 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV276 @ SV575 ) ) @ SV719 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2615 ) ) @ SY2616 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2617 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3020]) ).

thf(3229,plain,
    ! [SV277: $i,SV720: $i,SV576: $i] :
      ( ( ! [SY2618: $i,SY2619: $i,SY2620: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV576 @ SV720 @ SY2618 @ SY2619 @ SY2620 ) )
            | ~ ( hBOOL @ ( is_refT @ SY2620 ) )
            | ( hBOOL @ ( wTrt @ SV576 @ SV720 @ SY2618 @ ( throw_list_char @ SY2619 ) @ SV277 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3021]) ).

thf(3230,plain,
    ! [SV577: $i,SV278: $i] :
      ( ( ( addr @ SV278 )
        = ( bool @ SV577 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3022]) ).

thf(3231,plain,
    ! [SV578: $i,SV279: $i] :
      ( ( ( bool @ SV279 )
        = ( addr @ SV578 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3023]) ).

thf(3232,plain,
    ! [SV284: $i,SV721: $i,SV579: $i] :
      ( ( ! [SY2621: $i,SY2622: $i,SY2623: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV579 ) @ SV721 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2621 ) ) @ SY2622 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2623 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( while_list_char @ SV579 @ SV284 ) ) @ SV721 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2621 ) ) @ SY2622 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2623 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3028]) ).

thf(3233,plain,
    ! [SV722: $i,SV580: $i,SV285: $i] :
      ( ( ( fv @ ( cond_list_char @ SV285 @ SV580 @ SV722 ) )
        = ( semila919158006r_bool @ ( semila919158006r_bool @ ( fv @ SV285 ) @ ( fv @ SV580 ) ) @ ( fv @ SV722 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3029]) ).

thf(3234,plain,
    ! [SV581: $i,SV286: $i,SV723: $i] :
      ( ( ! [SY2624: $i,SY2625: $i,SY2626: $i,SY2627: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV723 ) @ SY2624 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2625 ) ) @ SY2626 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2627 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV723 @ SV286 @ SV581 ) ) @ SY2624 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2625 ) ) @ SY2626 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2627 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3030]) ).

thf(3235,plain,
    ! [SV724: $i,SV582: $i,SV287: $i] :
      ( ( ! [SY2628: $i,SY2629: $i,SY2630: $i,SY2631: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SY2628 @ SY2629 @ SY2630 @ SY2631 @ nt ) )
            | ( hBOOL @ ( wTrt_1 @ SY2628 @ SY2629 @ SY2630 @ ( fAcc_list_char @ SY2631 @ SV287 @ SV582 ) @ SV724 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3031]) ).

thf(3236,plain,
    ! [SV725: $i,SV583: $i,SV288: $i] :
      ( ( ! [SY2632: $i,SY2633: $i,SY2634: $i,SY2635: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SY2632 @ SY2633 @ SY2634 @ SY2635 @ nt ) )
            | ( hBOOL @ ( wTrt @ SY2632 @ SY2633 @ SY2634 @ ( fAcc_list_char @ SY2635 @ SV288 @ SV583 ) @ SV725 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3032]) ).

thf(3237,plain,
    ! [SV584: $i,SV289: $i,SV726: $i] :
      ( ( ! [SY2636: $i,SY2637: $i,SY2638: $i,SY2639: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV726 ) @ SY2636 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2637 ) ) @ SY2638 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2639 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV726 @ SV289 @ SV584 ) ) @ SY2636 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2637 ) ) @ SY2638 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2639 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3033]) ).

thf(3238,plain,
    ! [SV585: $i,SV290: $i,SV727: $i] :
      ( ( ! [SY2640: $i,SY2641: $i,SY2642: $i,SY2643: $i,SY2644: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SY2641 @ SY2642 @ SY2643 @ SY2644 @ nt ) )
            | ~ ( hBOOL @ ( wTrts_1 @ SY2641 @ SY2642 @ SY2643 @ SV727 @ SY2640 ) )
            | ( hBOOL @ ( wTrt_1 @ SY2641 @ SY2642 @ SY2643 @ ( call_list_char @ SY2644 @ SV290 @ SV727 ) @ SV585 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3034]) ).

thf(3239,plain,
    ! [SV586: $i,SV291: $i,SV728: $i] :
      ( ( ! [SY2645: $i,SY2646: $i,SY2647: $i,SY2648: $i,SY2649: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SY2646 @ SY2647 @ SY2648 @ SY2649 @ nt ) )
            | ~ ( hBOOL @ ( wTrts @ SY2646 @ SY2647 @ SY2648 @ SV728 @ SY2645 ) )
            | ( hBOOL @ ( wTrt @ SY2646 @ SY2647 @ SY2648 @ ( call_list_char @ SY2649 @ SV291 @ SV728 ) @ SV586 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3035]) ).

thf(3240,plain,
    ! [SV292: $i] :
      ( ( ( is_bool @ SV292 )
        = $false )
      | ( ( ( SV292 = fTrue )
          | ( SV292 = fFalse ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3036]) ).

thf(3241,plain,
    ! [SV293: $i] :
      ( ( ( is_bool @ SV293 )
        = $false )
      | ( ( ( SV293 = fTrue )
          | ( SV293 = fFalse ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3037]) ).

thf(3242,plain,
    ! [SV294: $i,SV729: $i,SV587: $i] :
      ( ( ! [SY2650: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SY2650 ) ) )
            | ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK13_Y_1 @ SY2650 @ SV729 @ SV587 @ SV294 ) ) @ ( sK14_SY1140 @ SY2650 @ SV729 @ SV587 @ SV294 ) ) ) @ SY2650 ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_SY1140 @ SY2650 @ SV729 @ SV587 @ SV294 ) ) @ SV729 ) ) @ ( transi2024712006on_val @ SY2650 ) ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK14_SY1140 @ SY2650 @ SV729 @ SV587 @ SV294 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK13_Y_1 @ SY2650 @ SV729 @ SV587 @ SV294 ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3038]) ).

thf(3243,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) )
          | ( SX1 != SX0 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3039]) ).

thf(3244,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) )
          | ( SX1 = SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3040]) ).

thf(3245,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( sK69_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)],[3041]) ).

thf(3246,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK67_A_1 @ SX0 ) ) @ ( sK68_SY1167 @ SX0 ) ) ) )
          | ! [SX1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3042]) ).

thf(3247,plain,
    ! [SV588: $i,SV295: $i] :
      ( ( ~ ! [SY2301: $i,SY2302: $i] :
              ( ( SY2302 != SY2301 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV295 @ SY2301 @ SV588 ) @ SY2302 )
                = SV588 ) )
        | ~ ! [SY2303: $i,SY2304: $i] :
              ( ( SY2304 = SY2303 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV295 @ SY2303 @ SV588 ) @ SY2304 )
                = ( hAPP_l207779698on_val @ SV295 @ SY2304 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3043]) ).

thf(3248,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SX0 ) @ SX1 ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3044]) ).

thf(3249,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SX0 ) @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3045]) ).

thf(3250,plain,
    ! [SV730: $i,SV589: $i,SV296: $i] :
      ( ( ! [SY2651: $i,SY2652: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SY2651 ) ) ) @ ( transi2024712006on_val @ SY2652 ) ) )
            | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 )
              = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SY2651 ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SY2652 @ SY2651 @ SV730 @ SV589 @ SV296 ) ) @ ( sK21_SY1142 @ SY2652 @ SY2651 @ SV730 @ SV589 @ SV296 ) ) ) ) @ SY2652 ) )
                | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SY2652 @ SY2651 @ SV730 @ SV589 @ SV296 ) ) @ ( sK21_SY1142 @ SY2652 @ SY2651 @ SV730 @ SV589 @ SV296 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SY2651 ) ) ) @ ( transi2024712006on_val @ SY2652 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3046]) ).

thf(3251,plain,
    ! [SV731: $i,SV590: $i,SV297: $i] :
      ( ( ! [SY2653: $i] :
            ( ! [SY2654: $i] :
                ~ ( hBOOL @ ( wTrt_1 @ SV297 @ SV590 @ SV731 @ ( throw_list_char @ SY2653 ) @ SY2654 ) )
            | ~ ( ~ ( hBOOL @ ( wTrt_1 @ SV297 @ SV590 @ SV731 @ SY2653 @ ( sK1_T_r_1 @ SY2653 @ SV731 @ SV590 @ SV297 ) ) )
                | ~ ( hBOOL @ ( is_refT @ ( sK1_T_r_1 @ SY2653 @ SV731 @ SV590 @ SV297 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3047]) ).

thf(3252,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK33_A_1 @ SX0 ) ) @ ( sK34_SY1145 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3048]) ).

thf(3253,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 @ ( sK32_X1 @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3049]) ).

thf(3254,plain,
    ! [SV298: $i] :
      ( ( ~ ! [SY1796: $i,SY1797: $i] :
              ( ~ ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV298 @ SY1796 ) @ SY1797 ) )
              | ( hBOOL @ ( d_list_char @ SY1796 @ SY1797 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3050]) ).

thf(3255,plain,
    ! [SV298: $i] :
      ( ( ~ ! [SY1798: $i,SY1799: $i] :
              ( ~ ( hBOOL @ ( d_list_char @ SY1798 @ SY1799 ) )
              | ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV298 @ SY1798 ) @ SY1799 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3050]) ).

thf(3256,plain,
    ! [SV732: $i,SV591: $i,SV299: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2655: $i] :
                              ( ! [SY2656: $i] :
                                  ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2655 )
                                 != ( hAPP_val_option_val @ some_val @ SY2656 ) )
                              | ( SY2655 = SV591 )
                              | ( SY2655 != SV591 ) )
                        | ~ ! [SY2657: $i,SY2658: $i] :
                              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2657 )
                               != ( hAPP_val_option_val @ some_val @ SY2658 ) )
                              | ( SY2657 = SV591 )
                              | ( ( hAPP_P2094403585on_val @ SV299 @ SY2657 )
                                = ( hAPP_val_option_val @ some_val @ SY2658 ) ) ) )
                  | ~ ~ ( ~ ! [SY2659: $i,SY2660: $i] :
                              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2659 )
                               != ( hAPP_val_option_val @ some_val @ SY2660 ) )
                              | ( SV732 = SY2660 )
                              | ( SY2659 != SV591 ) )
                        | ~ ! [SY2661: $i,SY2662: $i] :
                              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2661 )
                               != ( hAPP_val_option_val @ some_val @ SY2662 ) )
                              | ( SV732 = SY2662 )
                              | ( ( hAPP_P2094403585on_val @ SV299 @ SY2661 )
                                = ( hAPP_val_option_val @ some_val @ SY2662 ) ) ) ) )
            | ~ ~ ( ~ ! [SY2663: $i,SY2664: $i] :
                        ( ( SY2663 != SV591 )
                        | ( SV732 != SY2664 )
                        | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2663 )
                          = ( hAPP_val_option_val @ some_val @ SY2664 ) ) )
                  | ~ ! [SY2665: $i,SY2666: $i] :
                        ( ( SY2665 = SV591 )
                        | ( ( hAPP_P2094403585on_val @ SV299 @ SY2665 )
                         != ( hAPP_val_option_val @ some_val @ SY2666 ) )
                        | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2665 )
                          = ( hAPP_val_option_val @ some_val @ SY2666 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3051]) ).

thf(3257,plain,
    ! [SV300: $i] :
      ( ( ~ ! [SY1814: $i,SY1815: $i] :
              ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SY1814 @ SY1815 ) )
              | ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV300 @ SY1814 ) @ SY1815 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3052]) ).

thf(3258,plain,
    ! [SV300: $i] :
      ( ( ~ ! [SY1816: $i,SY1817: $i] :
              ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SV300 @ SY1817 ) )
              | ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV300 @ SY1816 ) @ SY1817 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3052]) ).

thf(3259,plain,
    ! [SV301: $i,SV592: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( sK22_X_1 @ SV592 @ SV301 ) ) @ SV592 ) )
              | ~ ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( sK22_X_1 @ SV592 @ SV301 ) ) @ SV301 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV592 ) @ SV301 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3053]) ).

thf(3260,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 != SX1 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3054]) ).

thf(3261,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 != SX1 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3055]) ).

thf(3262,plain,
    ! [SV733: $i,SV593: $i,SV302: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV302 ) @ SV593 ) ) @ ( transi2024712006on_val @ SV733 ) ) )
        | ( SV302 = SV593 )
        | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV302 ) @ ( sK15_Y_1 @ SV733 @ SV593 @ SV302 ) ) ) @ SV733 ) )
            | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK15_Y_1 @ SV733 @ SV593 @ SV302 ) ) @ SV593 ) ) @ ( transi2024712006on_val @ SV733 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3056]) ).

thf(3263,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( sK63_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)],[3057]) ).

thf(3264,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK61_A_1 @ SX0 ) ) @ ( sK62_SY1165 @ SX0 ) ) ) )
          | ! [SX1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3058]) ).

thf(3265,plain,
    ! [SV594: $i,SV303: $i] :
      ( ( ~ ! [SY2325: $i,SY2326: $i] :
              ( ( SV303 != SY2325 )
              | ( SV594 != SY2326 )
              | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
                = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2325 ) @ SY2326 ) ) )
        | ~ ~ ( ~ ! [SY2327: $i] :
                    ( ! [SY2328: $i] :
                        ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
                       != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2327 ) @ SY2328 ) )
                    | ( SV303 = SY2327 ) )
              | ~ ! [SY2329: $i,SY2330: $i] :
                    ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
                     != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2329 ) @ SY2330 ) )
                    | ( SV594 = SY2330 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3059]) ).

thf(3266,plain,
    ! [SV595: $i,SV304: $i] :
      ( ( ~ ! [SY2331: $i,SY2332: $i] :
              ( ( SV304 != SY2331 )
              | ( SV595 != SY2332 )
              | ( ( lAss_list_char @ SV304 @ SV595 )
                = ( lAss_list_char @ SY2331 @ SY2332 ) ) )
        | ~ ~ ( ~ ! [SY2333: $i] :
                    ( ! [SY2334: $i] :
                        ( ( lAss_list_char @ SV304 @ SV595 )
                       != ( lAss_list_char @ SY2333 @ SY2334 ) )
                    | ( SV304 = SY2333 ) )
              | ~ ! [SY2335: $i,SY2336: $i] :
                    ( ( ( lAss_list_char @ SV304 @ SV595 )
                     != ( lAss_list_char @ SY2335 @ SY2336 ) )
                    | ( SV595 = SY2336 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3060]) ).

thf(3267,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3061]) ).

thf(3268,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 != SX1 )
                | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 != SX1 )
                | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3062]) ).

thf(3269,plain,
    ! [SV734: $i,SV596: $i,SV305: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV305 ) @ SV596 ) ) @ ( transi2024712006on_val @ SV734 ) ) )
        | ( SV305 = SV596 )
        | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV305 ) @ ( sK16_Y_1 @ SV734 @ SV596 @ SV305 ) ) ) @ ( transi2024712006on_val @ SV734 ) ) )
            | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_Y_1 @ SV734 @ SV596 @ SV305 ) ) @ SV596 ) ) @ SV734 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3063]) ).

thf(3270,plain,
    ! [SV306: $i,SV735: $i,SV597: $i] :
      ( ( ! [SY2667: $i,SY2668: $i,SY2669: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2667 ) @ SY2668 ) ) ) @ ( transi2024712006on_val @ SY2669 ) ) )
            | ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SY2667 ) @ SY2668 ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK8_A_1 @ SY2669 @ SY2668 @ SY2667 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SY2669 @ SY2668 @ SY2667 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SY2669 @ SY2668 @ SY2667 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SY2669 @ SY2668 @ SY2667 @ SV735 @ SV597 @ SV306 ) ) ) ) @ SY2669 ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SY2669 @ SY2668 @ SY2667 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SY2669 @ SY2668 @ SY2667 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2667 ) @ SY2668 ) ) ) @ ( transi2024712006on_val @ SY2669 ) ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK10_SY1137 @ SY2669 @ SY2668 @ SY2667 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SY2669 @ SY2668 @ SY2667 @ SV735 @ SV597 @ SV306 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK8_A_1 @ SY2669 @ SY2668 @ SY2667 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SY2669 @ SY2668 @ SY2667 @ SV735 @ SV597 @ SV306 ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3064]) ).

thf(3271,plain,
    ! [SV598: $i,SV307: $i] :
      ( ( ~ ! [SY2342: $i,SY2343: $i] :
              ( ( SV307 != SY2342 )
              | ( SV598 != SY2343 )
              | ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
                = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2342 ) @ SY2343 ) ) )
        | ~ ~ ( ~ ! [SY2344: $i] :
                    ( ! [SY2345: $i] :
                        ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
                       != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2344 ) @ SY2345 ) )
                    | ( SV307 = SY2344 ) )
              | ~ ! [SY2346: $i,SY2347: $i] :
                    ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
                     != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2346 ) @ SY2347 ) )
                    | ( SV598 = SY2347 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3065]) ).

thf(3272,plain,
    ! [SV599: $i,SV308: $i] :
      ( ( ~ ! [SY2348: $i,SY2349: $i] :
              ( ( SV308 != SY2348 )
              | ( SV599 != SY2349 )
              | ( ( seq_list_char @ SV308 @ SV599 )
                = ( seq_list_char @ SY2348 @ SY2349 ) ) )
        | ~ ~ ( ~ ! [SY2350: $i] :
                    ( ! [SY2351: $i] :
                        ( ( seq_list_char @ SV308 @ SV599 )
                       != ( seq_list_char @ SY2350 @ SY2351 ) )
                    | ( SV308 = SY2350 ) )
              | ~ ! [SY2352: $i,SY2353: $i] :
                    ( ( ( seq_list_char @ SV308 @ SV599 )
                     != ( seq_list_char @ SY2352 @ SY2353 ) )
                    | ( SV599 = SY2353 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3066]) ).

thf(3273,plain,
    ! [SV736: $i,SV600: $i,SV309: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2670: $i] :
                              ( ! [SY2671: $i] :
                                  ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2670 )
                                 != ( hAPP_val_option_val @ some_val @ SY2671 ) )
                              | ( SY2670 = SV600 )
                              | ( SY2670 != SV600 ) )
                        | ~ ! [SY2672: $i,SY2673: $i] :
                              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2672 )
                               != ( hAPP_val_option_val @ some_val @ SY2673 ) )
                              | ( SY2672 = SV600 )
                              | ( ( hAPP_l207779698on_val @ SV309 @ SY2672 )
                                = ( hAPP_val_option_val @ some_val @ SY2673 ) ) ) )
                  | ~ ~ ( ~ ! [SY2674: $i,SY2675: $i] :
                              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2674 )
                               != ( hAPP_val_option_val @ some_val @ SY2675 ) )
                              | ( SV736 = SY2675 )
                              | ( SY2674 != SV600 ) )
                        | ~ ! [SY2676: $i,SY2677: $i] :
                              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2676 )
                               != ( hAPP_val_option_val @ some_val @ SY2677 ) )
                              | ( SV736 = SY2677 )
                              | ( ( hAPP_l207779698on_val @ SV309 @ SY2676 )
                                = ( hAPP_val_option_val @ some_val @ SY2677 ) ) ) ) )
            | ~ ~ ( ~ ! [SY2678: $i,SY2679: $i] :
                        ( ( SY2678 != SV600 )
                        | ( SV736 != SY2679 )
                        | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2678 )
                          = ( hAPP_val_option_val @ some_val @ SY2679 ) ) )
                  | ~ ! [SY2680: $i,SY2681: $i] :
                        ( ( SY2680 = SV600 )
                        | ( ( hAPP_l207779698on_val @ SV309 @ SY2680 )
                         != ( hAPP_val_option_val @ some_val @ SY2681 ) )
                        | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2680 )
                          = ( hAPP_val_option_val @ some_val @ SY2681 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3067]) ).

thf(3274,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)],[3068]) ).

thf(3275,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)],[3069]) ).

thf(3276,plain,
    ! [SV601: $i,SV310: $i] :
      ( ( ~ ! [SY2367: $i] :
              ( ! [SY2368: $i] :
                  ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV310 ) @ SV601 )
                 != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2367 ) @ SY2368 ) )
              | ( SV310 = SY2367 ) )
        | ~ ! [SY2369: $i,SY2370: $i] :
              ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV310 ) @ SV601 )
               != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2369 ) @ SY2370 ) )
              | ( SV601 = SY2370 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3070]) ).

thf(3277,plain,
    ! [SV602: $i,SV311: $i] :
      ( ( ~ ! [SY2371: $i,SY2372: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV311 @ SV602 ) @ SY2371 )
               != ( hAPP_val_option_val @ some_val @ SY2372 ) )
              | ( ( hAPP_l207779698on_val @ SV602 @ SY2371 )
                = none_val )
              | ( ( hAPP_l207779698on_val @ SV602 @ SY2371 )
                = ( hAPP_val_option_val @ some_val @ SY2372 ) ) )
        | ~ ! [SY2373: $i,SY2374: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV311 @ SV602 ) @ SY2373 )
               != ( hAPP_val_option_val @ some_val @ SY2374 ) )
              | ( ( hAPP_l207779698on_val @ SV311 @ SY2373 )
                = ( hAPP_val_option_val @ some_val @ SY2374 ) )
              | ( ( hAPP_l207779698on_val @ SV602 @ SY2373 )
                = ( hAPP_val_option_val @ some_val @ SY2374 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3071]) ).

thf(3278,plain,
    ! [SV603: $i,SV312: $i] :
      ( ( ~ ! [SY2375: $i,SY2376: $i] :
              ( ( SY2376 != SY2375 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV312 @ SY2375 @ SV603 ) @ SY2376 )
                = SV603 ) )
        | ~ ! [SY2377: $i,SY2378: $i] :
              ( ( SY2378 = SY2377 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV312 @ SY2377 @ SV603 ) @ SY2378 )
                = ( hAPP_P2094403585on_val @ SV312 @ SY2378 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3072]) ).

thf(3279,plain,
    ! [SV604: $i,SV313: $i] :
      ( ( ~ ! [SY2379: $i] :
              ( ! [SY2380: $i] :
                  ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV604 )
                 != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2379 ) @ SY2380 ) )
              | ( SV313 = SY2379 ) )
        | ~ ! [SY2381: $i,SY2382: $i] :
              ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV604 )
               != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2381 ) @ SY2382 ) )
              | ( SV604 = SY2382 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3073]) ).

thf(3280,plain,
    ( ( ! [SX0: $i] :
          ( ( SX0
            = ( hAPP_val_option_val @ some_val @ ( sK25_Y_1 @ SX0 ) ) )
          | ( SX0 = none_val ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3074]) ).

thf(3281,plain,
    ( ( ! [SX0: $i] :
          ( ( SX0 != none_val )
          | ! [SX1: $i] :
              ( SX0
             != ( hAPP_val_option_val @ some_val @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3075]) ).

thf(3282,plain,
    ! [SV605: $i,SV314: $i] :
      ( ( ~ ! [SY2383: $i,SY2384: $i] :
              ( ( SY2383 != SY2384 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV314 @ SY2384 @ SV605 ) @ SY2383 )
                = SV605 ) )
        | ~ ! [SY2385: $i,SY2386: $i] :
              ( ( SY2385 = SY2386 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV314 @ SY2386 @ SV605 ) @ SY2385 )
                = ( hAPP_P2094403585on_val @ SV314 @ SY2385 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3076]) ).

thf(3283,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SX1 @ SX0 ) ) @ ( sK48_SY1152 @ SX1 @ SX0 ) ) ) @ SX1 ) )
                  | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SX1 @ SX0 ) ) @ ( sK48_SY1152 @ SX1 @ SX0 ) ) ) @ SX0 ) ) )
              | ~ ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SX1 @ SX0 ) ) @ ( sK48_SY1152 @ SX1 @ SX0 ) ) ) @ SX1 ) )
                  | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SX1 @ SX0 ) ) @ ( sK48_SY1152 @ SX1 @ SX0 ) ) ) @ SX0 ) ) ) )
          | ( SX1 = SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3077]) ).

thf(3284,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX1 != SX0 )
          | ~ ( ~ ! [SX2: $i,SX3: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) ) @ SX1 ) )
                    | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) ) @ SX0 ) ) )
              | ~ ! [SX2: $i,SX3: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) ) @ SX0 ) )
                    | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) ) @ SX1 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3078]) ).

thf(3285,plain,
    ! [SV315: $i] :
      ( ( ~ ! [SY1895: $i,SY1896: $i] :
              ( ( ( fun_up204312361on_val @ SV315 @ SY1895 @ SY1896 )
               != SV315 )
              | ( ( hAPP_P2094403585on_val @ SV315 @ SY1895 )
                = SY1896 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3079]) ).

thf(3286,plain,
    ! [SV315: $i] :
      ( ( ~ ! [SY1897: $i,SY1898: $i] :
              ( ( ( hAPP_P2094403585on_val @ SV315 @ SY1897 )
               != SY1898 )
              | ( ( fun_up204312361on_val @ SV315 @ SY1897 @ SY1898 )
                = SV315 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3079]) ).

thf(3287,plain,
    ! [SV316: $i] :
      ( ( ~ ! [SY1899: $i,SY1900: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SY1899 ) @ SY1900 ) )
              | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SY1899 ) @ ( semila751111325l_bool @ SV316 @ SY1900 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3080]) ).

thf(3288,plain,
    ! [SV316: $i] :
      ( ( ~ ! [SY1901: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SY1901 ) @ SV316 ) )
              | ! [SY1902: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SY1901 ) @ ( semila751111325l_bool @ SV316 @ SY1902 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3080]) ).

thf(3289,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3081]) ).

thf(3290,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 != SX1 )
                | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 != SX1 )
                | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3082]) ).

thf(3291,plain,
    ( ( ! [SX0: $i] :
          ( ( SX0 = none_val )
          | ( SX0
            = ( hAPP_val_option_val @ some_val @ ( sK24_Y_1 @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3083]) ).

thf(3292,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ( SX0
             != ( hAPP_val_option_val @ some_val @ SX1 ) )
          | ( SX0 != none_val ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3084]) ).

thf(3293,plain,
    ! [SV606: $i,SV317: $i] :
      ( ( ~ ! [SY2387: $i,SY2388: $i] :
              ( ( SY2387 != SY2388 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV317 @ SY2388 @ SV606 ) @ SY2387 )
                = SV606 ) )
        | ~ ! [SY2389: $i,SY2390: $i] :
              ( ( SY2389 = SY2390 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV317 @ SY2390 @ SV606 ) @ SY2389 )
                = ( hAPP_l207779698on_val @ SV317 @ SY2389 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3085]) ).

thf(3294,plain,
    ! [SV318: $i] :
      ( ( ~ ! [SY1908: $i,SY1909: $i] :
              ( ( ( hAPP_l207779698on_val @ SY1908 @ SY1909 )
               != none_val )
              | ( ( hAPP_l207779698on_val @ SV318 @ SY1909 )
               != none_val )
              | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SY1908 ) @ SY1909 )
                = none_val ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3086]) ).

thf(3295,plain,
    ! [SV318: $i] :
      ( ( ~ ~ ( ~ ! [SY1910: $i,SY1911: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SY1910 ) @ SY1911 )
                     != none_val )
                    | ( ( hAPP_l207779698on_val @ SY1910 @ SY1911 )
                      = none_val ) )
              | ~ ! [SY1912: $i,SY1913: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SY1912 ) @ SY1913 )
                     != none_val )
                    | ( ( hAPP_l207779698on_val @ SV318 @ SY1913 )
                      = none_val ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3086]) ).

thf(3296,plain,
    ! [SV319: $i,SV737: $i,SV607: $i] :
      ( ( ! [SY2682: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SY2682 ) ) )
            | ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ ( sK17_Y_1 @ SY2682 @ SV737 @ SV607 @ SV319 ) ) ) @ ( transi2024712006on_val @ SY2682 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK17_Y_1 @ SY2682 @ SV737 @ SV607 @ SV319 ) ) @ ( sK18_SY1141 @ SY2682 @ SV737 @ SV607 @ SV319 ) ) ) @ SY2682 ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK17_Y_1 @ SY2682 @ SV737 @ SV607 @ SV319 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK18_SY1141 @ SY2682 @ SV737 @ SV607 @ SV319 ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3087]) ).

thf(3297,plain,
    ! [SV320: $i] :
      ( ( ~ ! [SY1917: $i,SY1918: $i] :
              ( ( ( fun_up1149430426on_val @ SV320 @ SY1917 @ SY1918 )
               != SV320 )
              | ( ( hAPP_l207779698on_val @ SV320 @ SY1917 )
                = SY1918 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3088]) ).

thf(3298,plain,
    ! [SV320: $i] :
      ( ( ~ ! [SY1919: $i,SY1920: $i] :
              ( ( ( hAPP_l207779698on_val @ SV320 @ SY1919 )
               != SY1920 )
              | ( ( fun_up1149430426on_val @ SV320 @ SY1919 @ SY1920 )
                = SV320 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3088]) ).

thf(3299,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK66_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)],[3089]) ).

thf(3300,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK64_A_1 @ SX0 ) ) @ ( sK65_SY1166 @ SX0 ) ) ) )
          | ! [SX1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3090]) ).

thf(3301,plain,
    ! [SV608: $i,SV321: $i] :
      ( ( ~ ! [SY2393: $i] :
              ( ! [SY2394: $i] :
                  ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV321 ) @ SV608 )
                 != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2393 ) @ SY2394 ) )
              | ( SV321 = SY2393 ) )
        | ~ ! [SY2395: $i,SY2396: $i] :
              ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV321 ) @ SV608 )
               != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2395 ) @ SY2396 ) )
              | ( SV608 = SY2396 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3091]) ).

thf(3302,plain,
    ! [SV322: $i,SV738: $i,SV609: $i] :
      ( ( ! [SY2683: $i,SY2684: $i,SY2685: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2683 ) @ SY2684 ) ) ) @ ( transi2024712006on_val @ SY2685 ) ) )
            | ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SY2685 @ SY2684 @ SY2683 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SY2685 @ SY2684 @ SY2683 @ SV738 @ SV609 @ SV322 ) ) ) ) @ ( transi2024712006on_val @ SY2685 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SY2685 @ SY2684 @ SY2683 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SY2685 @ SY2684 @ SY2683 @ SV738 @ SV609 @ SV322 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY1131 @ SY2685 @ SY2684 @ SY2683 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SY2685 @ SY2684 @ SY2683 @ SV738 @ SV609 @ SV322 ) ) ) ) @ SY2685 ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK4_A_1 @ SY2685 @ SY2684 @ SY2683 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SY2685 @ SY2684 @ SY2683 @ SV738 @ SV609 @ SV322 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK6_SY1131 @ SY2685 @ SY2684 @ SY2683 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SY2685 @ SY2684 @ SY2683 @ SV738 @ SV609 @ SV322 ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SY2683 ) @ SY2684 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3092]) ).

thf(3303,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK30_A_1 @ SX0 ) ) @ ( sK31_SY1144 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3093]) ).

thf(3304,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 @ ( sK29_X1 @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3094]) ).

thf(3305,plain,
    ! [SV610: $i,SV323: $i] :
      ( ( ~ ! [SY2401: $i,SY2402: $i] :
              ( ( SV323 != SY2401 )
              | ( SV610 != SY2402 )
              | ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
                = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2401 ) @ SY2402 ) ) )
        | ~ ~ ( ~ ! [SY2403: $i] :
                    ( ! [SY2404: $i] :
                        ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
                       != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2403 ) @ SY2404 ) )
                    | ( SV323 = SY2403 ) )
              | ~ ! [SY2405: $i,SY2406: $i] :
                    ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
                     != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2405 ) @ SY2406 ) )
                    | ( SV610 = SY2406 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3095]) ).

thf(3306,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)],[3096]) ).

thf(3307,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)],[3097]) ).

thf(3308,plain,
    ! [SV611: $i,SV324: $i] :
      ( ( ~ ~ ( ~ ! [SY2407: $i,SY2408: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2407 )
                     != ( hAPP_val_option_val @ some_val @ SY2408 ) )
                    | ( ( hAPP_l207779698on_val @ SV611 @ SY2407 )
                      = none_val )
                    | ( ( hAPP_l207779698on_val @ SV611 @ SY2407 )
                      = ( hAPP_val_option_val @ some_val @ SY2408 ) ) )
              | ~ ! [SY2409: $i,SY2410: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2409 )
                     != ( hAPP_val_option_val @ some_val @ SY2410 ) )
                    | ( ( hAPP_l207779698on_val @ SV324 @ SY2409 )
                      = ( hAPP_val_option_val @ some_val @ SY2410 ) )
                    | ( ( hAPP_l207779698on_val @ SV611 @ SY2409 )
                      = ( hAPP_val_option_val @ some_val @ SY2410 ) ) ) )
        | ~ ~ ( ~ ! [SY2411: $i,SY2412: $i] :
                    ( ( ( hAPP_l207779698on_val @ SV611 @ SY2411 )
                     != none_val )
                    | ( ( hAPP_l207779698on_val @ SV324 @ SY2411 )
                     != ( hAPP_val_option_val @ some_val @ SY2412 ) )
                    | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2411 )
                      = ( hAPP_val_option_val @ some_val @ SY2412 ) ) )
              | ~ ! [SY2413: $i,SY2414: $i] :
                    ( ( ( hAPP_l207779698on_val @ SV611 @ SY2413 )
                     != ( hAPP_val_option_val @ some_val @ SY2414 ) )
                    | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2413 )
                      = ( hAPP_val_option_val @ some_val @ SY2414 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3098]) ).

thf(3309,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SX0 @ ( sK3_X_1 @ SX1 @ SX0 ) ) ) @ ( hAPP_list_char_bool @ SX1 @ ( sK3_X_1 @ SX1 @ SX0 ) ) ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3099]) ).

thf(3310,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) )
          | ! [SX2: $i] : ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SX0 @ SX2 ) ) @ ( hAPP_list_char_bool @ SX1 @ SX2 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3100]) ).

thf(3311,plain,
    ! [SV739: $i,SV612: $i,SV325: $i] :
      ( ( ~ ( ~ ! [SY2686: $i,SY2687: $i] :
                  ( ~ ( hBOOL @ ( wTrt @ SV325 @ SV612 @ SV739 @ SY2686 @ SY2687 ) )
                  | ( hBOOL @ ( wTrt_1 @ SV325 @ SV612 @ SV739 @ SY2686 @ SY2687 ) ) )
            | ~ ! [SY2688: $i,SY2689: $i] :
                  ( ~ ( hBOOL @ ( wTrt_1 @ SV325 @ SV612 @ SV739 @ SY2688 @ SY2689 ) )
                  | ( hBOOL @ ( wTrt @ SV325 @ SV612 @ SV739 @ SY2688 @ SY2689 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3101]) ).

thf(3312,plain,
    ! [SV740: $i,SV613: $i,SV326: $i] :
      ( ( ~ ( ~ ! [SY2690: $i,SY2691: $i] :
                  ( ~ ( hBOOL @ ( wTrts @ SV326 @ SV613 @ SV740 @ SY2690 @ SY2691 ) )
                  | ( hBOOL @ ( wTrts_1 @ SV326 @ SV613 @ SV740 @ SY2690 @ SY2691 ) ) )
            | ~ ! [SY2692: $i,SY2693: $i] :
                  ( ~ ( hBOOL @ ( wTrts_1 @ SV326 @ SV613 @ SV740 @ SY2692 @ SY2693 ) )
                  | ( hBOOL @ ( wTrts @ SV326 @ SV613 @ SV740 @ SY2692 @ SY2693 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3102]) ).

thf(3313,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) )
          | ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK27_A_1 @ SX0 ) ) @ ( sK28_SY1143 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3103]) ).

thf(3314,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 @ ( sK26_X1 @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3104]) ).

thf(3315,plain,
    ! [SV614: $i,SV329: $i,SV3: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ SV3 @ SV329 )
           != ( hAPP_val_option_val @ some_val @ SV614 ) ) )
        = $true )
      | ( ( ( fun_up1149430426on_val @ SV3 @ SV329 @ ( hAPP_val_option_val @ some_val @ SV614 ) )
          = SV3 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3105]) ).

thf(3316,plain,
    ! [SV615: $i,SV330: $i,SV4: $i] :
      ( ( ( ( ( hAPP_P2094403585on_val @ SV4 @ SV330 )
           != ( hAPP_val_option_val @ some_val @ SV615 ) ) )
        = $true )
      | ( ( ( fun_up204312361on_val @ SV4 @ SV330 @ ( hAPP_val_option_val @ some_val @ SV615 ) )
          = SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3106]) ).

thf(3317,plain,
    ! [SV741: $i,SV616: $i,SV331: $i,SV5: $i] :
      ( ( ! [SY2694: $i] :
            ( ( ( fun_up1149430426on_val @ SV5 @ SV331 @ ( hAPP_val_option_val @ some_val @ SV616 ) )
             != ( fun_up1149430426on_val @ SV741 @ SV331 @ ( hAPP_val_option_val @ some_val @ SY2694 ) ) )
            | ( SV616 = SY2694 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3107]) ).

thf(3318,plain,
    ! [SV742: $i,SV617: $i,SV332: $i,SV6: $i] :
      ( ( ! [SY2695: $i] :
            ( ( ( fun_up204312361on_val @ SV6 @ SV332 @ ( hAPP_val_option_val @ some_val @ SV617 ) )
             != ( fun_up204312361on_val @ SV742 @ SV332 @ ( hAPP_val_option_val @ some_val @ SY2695 ) ) )
            | ( SV617 = SY2695 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3108]) ).

thf(3319,plain,
    ! [SV7: $i,SV333: $i] :
      ( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV333 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK74_A_1 @ SV333 @ SV7 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK75_SY1174 @ SV333 @ SV7 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK76_SY1177 @ SV333 @ SV7 ) ) @ ( sK77_SY1179 @ SV333 @ SV7 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV333 @ SV7 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3109]) ).

thf(3320,plain,
    ! [SV618: $i,SV334: $i,SV9: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ SV9 @ SV334 )
           != SV618 ) )
        = $true )
      | ( ( ( fun_up1149430426on_val @ SV9 @ SV334 @ SV618 )
          = SV9 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3110]) ).

thf(3321,plain,
    ! [SV335: $i,SV10: $i,SV743: $i,SV619: $i] :
      ( ( ( SV619 = SV743 )
        | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV10 @ SV743 @ SV335 ) @ SV619 )
          = ( hAPP_l207779698on_val @ SV10 @ SV619 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3111]) ).

thf(3322,plain,
    ! [SV620: $i,SV336: $i,SV11: $i,SV744: $i] :
      ( ( ! [SY2696: $i] :
            ( ( SV744 = SY2696 )
            | ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SV744 @ SV336 ) @ SY2696 @ SV620 )
              = ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SY2696 @ SV620 ) @ SV744 @ SV336 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3112]) ).

thf(3323,plain,
    ! [SV745: $i,SV622: $i,SV338: $i,SV13: $i] :
      ( ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV13 @ SV338 @ SV622 ) @ SV338 @ SV745 )
        = ( fun_up1149430426on_val @ SV13 @ SV338 @ SV745 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3114]) ).

thf(3324,plain,
    ! [SV16: $i,SV339: $i] :
      ( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV339 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK52_A_1 @ SV339 @ SV16 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK53_SY1156 @ SV339 @ SV16 ) ) @ ( sK54_SY1158 @ SV339 @ SV16 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV339 @ SV16 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3115]) ).

thf(3325,plain,
    ! [SV17: $i,SV340: $i] :
      ( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV340 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK49_A_1 @ SV340 @ SV17 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK50_SY1153 @ SV340 @ SV17 ) ) @ ( sK51_SY1155 @ SV340 @ SV17 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV340 @ SV17 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3116]) ).

thf(3326,plain,
    ! [SV746: $i,SV623: $i,SV341: $i,SV24: $i] :
      ( ( ! [SY2697: $i] :
            ( ! [SY2698: $i,SY2699: $i] :
                ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV24 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV341 ) @ SV623 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV746 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2697 ) @ SY2698 ) ) ) ) @ ( red @ SY2699 ) ) )
            | ( hBOOL @ ( hext @ SV341 @ SY2697 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3117]) ).

thf(3327,plain,
    ! [SV25: $i,SV747: $i,SV624: $i,SV342: $i] :
      ( ( ! [SY2700: $i,SY2701: $i,SY2702: $i,SY2703: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV342 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV624 ) @ SV747 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2700 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2701 ) @ SY2702 ) ) ) ) @ ( red @ SY2703 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV342 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV624 ) @ ( map_ad325961431ar_val @ SV25 @ SV747 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2700 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2701 ) @ ( map_ad325961431ar_val @ SV25 @ SY2702 ) ) ) ) ) @ ( red @ SY2703 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3118]) ).

thf(3328,plain,
    ! [SV26: $i,SV748: $i,SV625: $i,SV343: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV343 @ SV625 )
         != ( hAPP_val_option_val @ some_val @ SV748 ) )
        | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV26 @ SV343 ) @ SV625 )
          = ( hAPP_val_option_val @ some_val @ SV748 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3119]) ).

thf(3329,plain,
    ! [SV27: $i,SV749: $i,SV626: $i,SV344: $i] :
      ( ( ! [SY2704: $i,SY2705: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV344 ) @ SV626 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV749 ) @ SY2704 ) ) ) @ ( red @ SY2705 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV27 @ SV344 ) ) @ SV626 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV27 @ SV749 ) ) @ SY2704 ) ) ) @ ( red @ SY2705 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3120]) ).

thf(3330,plain,
    ! [SV28: $i,SV750: $i,SV627: $i,SV345: $i] :
      ( ( ! [SY2706: $i,SY2707: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV345 ) @ SV627 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV750 ) @ SY2706 ) ) ) @ ( red @ SY2707 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV345 @ SV28 ) ) @ SV627 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV750 @ SV28 ) ) @ SY2706 ) ) ) @ ( red @ SY2707 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3121]) ).

thf(3331,plain,
    ! [SV751: $i,SV628: $i,SV346: $i,SV29: $i] :
      ( ( ( map_ad1185064968ar_val @ SV29 @ ( fun_up204312361on_val @ SV346 @ SV628 @ ( hAPP_val_option_val @ some_val @ SV751 ) ) )
        = ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ SV29 @ SV346 ) @ SV628 @ ( hAPP_val_option_val @ some_val @ SV751 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3122]) ).

thf(3332,plain,
    ! [SV752: $i,SV629: $i,SV347: $i,SV30: $i] :
      ( ( ( map_ad325961431ar_val @ SV30 @ ( fun_up1149430426on_val @ SV347 @ SV629 @ ( hAPP_val_option_val @ some_val @ SV752 ) ) )
        = ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ SV30 @ SV347 ) @ SV629 @ ( hAPP_val_option_val @ some_val @ SV752 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3123]) ).

thf(3333,plain,
    ! [SV348: $i,SV31: $i,SV753: $i,SV630: $i] :
      ( ( ! [SY2708: $i,SY2709: $i] :
            ( ! [SY2710: $i] :
                ~ ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SY2708 @ SY2709 @ SY2710 ) )
            | ~ ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SY2708 @ SV31 @ SV348 ) )
            | ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SY2708 @ ( seq_list_char @ SY2709 @ SV31 ) @ SV348 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3124]) ).

thf(3334,plain,
    ! [SV33: $i,SV754: $i,SV631: $i,SV349: $i] :
      ( ( ! [SY2711: $i,SY2712: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SV349 @ SV631 @ SV754 @ SY2711 @ SY2712 ) )
            | ~ ( hBOOL @ ( hext @ SV631 @ SV33 ) )
            | ( hBOOL @ ( wTrt_1 @ SV349 @ SV33 @ SV754 @ SY2711 @ SY2712 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3125]) ).

thf(3335,plain,
    ! [SV34: $i,SV632: $i,SV350: $i] :
      ( ( ( ~ ( hBOOL @ ( hext @ SV350 @ SV632 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hext @ SV632 @ SV34 ) )
          | ( hBOOL @ ( hext @ SV350 @ SV34 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3126]) ).

thf(3336,plain,
    ! [SV633: $i,SV351: $i,SV37: $i] :
      ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV37 @ SV351 @ ( hAPP_val_option_val @ some_val @ SV633 ) ) @ ( sK23_X_1 @ SV633 @ SV351 @ SV37 ) )
        = none_val )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3127]) ).

thf(3337,plain,
    ! [SV38: $i,SV755: $i,SV634: $i,SV352: $i] :
      ( ( ! [SY2713: $i,SY2714: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV352 ) @ SV634 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV755 ) @ SY2713 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2714 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV352 @ SV38 ) ) @ SV634 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV755 @ SV38 ) ) @ SY2713 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2714 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3128]) ).

thf(3338,plain,
    ! [SV39: $i,SV756: $i,SV635: $i,SV353: $i] :
      ( ( ! [SY2715: $i,SY2716: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV353 ) @ SV635 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV756 ) @ SY2715 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2716 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV39 @ SV353 ) ) @ SV635 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV39 @ SV756 ) ) @ SY2715 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2716 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3129]) ).

thf(3339,plain,
    ! [SV40: $i,SV757: $i,SV636: $i,SV354: $i] :
      ( ( ! [SY2717: $i,SY2718: $i,SY2719: $i,SY2720: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV354 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV636 ) @ SV757 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2717 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2718 ) @ SY2719 ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2720 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV354 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV636 ) @ ( map_ad325961431ar_val @ SV40 @ SV757 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2717 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2718 ) @ ( map_ad325961431ar_val @ SV40 @ SY2719 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2720 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3130]) ).

thf(3340,plain,
    ! [SV356: $i,SV42: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV42 ) @ SV356 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV42 ) @ ( transi2024712006on_val @ SV356 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3131]) ).

thf(3341,plain,
    ! [SV357: $i,SV43: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV43 ) @ SV357 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV357 ) @ SV43 ) )
          | ( SV43 = SV357 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3132]) ).

thf(3342,plain,
    ! [SV44: $i,SV637: $i,SV358: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV358 ) @ SV637 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV44 ) @ SV358 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV44 ) @ SV637 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3133]) ).

thf(3343,plain,
    ! [SV359: $i,SV45: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV45 ) @ SV359 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ ( transi2024712006on_val @ SV45 ) ) @ ( transi2024712006on_val @ SV359 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3134]) ).

thf(3344,plain,
    ! [SV360: $i,SV46: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV46 ) @ SV360 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV360 ) @ ( transi2024712006on_val @ SV46 ) ) )
          | ( ( transi2024712006on_val @ SV360 )
            = ( transi2024712006on_val @ SV46 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3135]) ).

thf(3345,plain,
    ! [SV361: $i,SV47: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV47 ) @ ( transi2024712006on_val @ SV361 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ ( transi2024712006on_val @ SV47 ) ) @ ( transi2024712006on_val @ SV361 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3136]) ).

thf(3346,plain,
    ! [SV362: $i,SV50: $i] :
      ( ( ( SV50 = SV362 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV50 ) @ SV362 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3137]) ).

thf(3347,plain,
    ! [SV363: $i,SV51: $i] :
      ( ( ( SV51 = SV363 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV363 ) @ SV51 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3138]) ).

thf(3348,plain,
    ! [SV52: $i,SV638: $i,SV364: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV364 ) @ SV638 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV52 ) @ SV364 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV52 ) @ SV638 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3139]) ).

thf(3349,plain,
    ! [SV53: $i,SV639: $i,SV365: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV365 ) @ SV639 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV639 ) @ SV53 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV365 ) @ SV53 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3140]) ).

thf(3350,plain,
    ! [SV54: $i,SV640: $i,SV366: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV366 ) @ SV640 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV54 ) @ SV366 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV54 ) @ SV640 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3141]) ).

thf(3351,plain,
    ! [SV55: $i,SV641: $i,SV367: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV367 ) @ SV641 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV641 ) @ SV55 ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV367 ) @ SV55 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3142]) ).

thf(3352,plain,
    ! [SV56: $i,SV758: $i,SV642: $i,SV368: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV368 ) @ SV642 ) ) @ SV758 ) )
        | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV642 ) @ SV56 ) ) @ ( transi2024712006on_val @ SV758 ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV368 ) @ SV56 ) ) @ ( transi2024712006on_val @ SV758 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3143]) ).

thf(3353,plain,
    ! [SV57: $i,SV759: $i,SV643: $i,SV369: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV369 ) @ SV643 ) ) @ ( transi2024712006on_val @ SV759 ) ) )
        | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV643 ) @ SV57 ) ) @ SV759 ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV369 ) @ SV57 ) ) @ ( transi2024712006on_val @ SV759 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3144]) ).

thf(3354,plain,
    ! [SV58: $i,SV760: $i,SV644: $i,SV370: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV370 ) @ SV644 ) ) @ ( transi2024712006on_val @ SV760 ) ) )
        | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV644 ) @ SV58 ) ) @ ( transi2024712006on_val @ SV760 ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV370 ) @ SV58 ) ) @ ( transi2024712006on_val @ SV760 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3145]) ).

thf(3355,plain,
    ! [SV61: $i,SV645: $i,SV371: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV371 ) @ SV645 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV61 ) @ SV371 ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV61 ) @ SV645 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3146]) ).

thf(3356,plain,
    ! [SV372: $i,SV62: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV62 ) @ SV372 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV372 ) @ SV62 ) )
          | ( SV372 = SV62 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3147]) ).

thf(3357,plain,
    ! [SV63: $i,SV646: $i,SV373: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV373 ) @ SV646 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV646 ) @ SV63 ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV373 ) @ SV63 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3148]) ).

thf(3358,plain,
    ! [SV374: $i,SV64: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV64 ) @ SV374 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV374 ) @ SV64 ) )
          | ( SV64 = SV374 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3149]) ).

thf(3359,plain,
    ! [SV65: $i,SV647: $i,SV375: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV375 ) @ SV647 ) ) )
        = $true )
      | ( ( ( SV375 != SV65 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV65 ) @ SV647 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3150]) ).

thf(3360,plain,
    ! [SV66: $i,SV648: $i,SV376: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV376 ) @ SV648 ) ) )
        = $true )
      | ( ( ( SV648 != SV66 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV376 ) @ SV66 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3151]) ).

thf(3361,plain,
    ! [SV67: $i,SV649: $i,SV377: $i] :
      ( ( ( ( SV377 != SV649 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV67 ) @ SV649 ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV67 ) @ SV377 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3152]) ).

thf(3362,plain,
    ! [SV68: $i,SV650: $i,SV378: $i] :
      ( ( ( ( SV378 != SV650 ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV650 ) @ SV68 ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV378 ) @ SV68 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3153]) ).

thf(3363,plain,
    ! [SV379: $i,SV69: $i] :
      ( ( ( SV69 = SV379 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV69 ) @ SV379 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3154]) ).

thf(3364,plain,
    ! [SV651: $i,SV380: $i,SV70: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV70 ) @ ( semila751111325l_bool @ SV380 @ SV651 ) ) ) )
        = $true )
      | ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV70 ) @ SV380 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV70 ) @ SV651 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3155]) ).

thf(3365,plain,
    ! [SV652: $i,SV381: $i,SV71: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV71 @ SV381 ) @ SV652 ) ) )
        = $true )
      | ( ( ( hBOOL @ ( hAPP_list_char_bool @ SV71 @ SV652 ) )
          | ( hBOOL @ ( hAPP_list_char_bool @ SV381 @ SV652 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3156]) ).

thf(3366,plain,
    ! [SV653: $i,SV382: $i,SV72: $i,SV761: $i] :
      ( ( ! [SY2721: $i,SY2722: $i,SY2723: $i,SY2724: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV761 ) @ SY2721 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2722 ) @ SY2723 ) ) ) @ ( red @ SY2724 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV761 @ SV72 @ SV382 @ SV653 ) ) @ SY2721 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2722 @ SV72 @ SV382 @ SV653 ) ) @ SY2723 ) ) ) @ ( red @ SY2724 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3157]) ).

thf(3367,plain,
    ! [SV654: $i,SV383: $i,SV73: $i,SV762: $i] :
      ( ( ! [SY2725: $i,SY2726: $i,SY2727: $i,SY2728: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV762 ) @ SY2725 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2726 ) @ SY2727 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2728 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV762 @ SV73 @ SV383 @ SV654 ) ) @ SY2725 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2726 @ SV73 @ SV383 @ SV654 ) ) @ SY2727 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2728 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3158]) ).

thf(3368,plain,
    ! [SV763: $i,SV655: $i,SV384: $i,SV74: $i] :
      ( ( ! [SY2729: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ ( throw_list_char @ SV74 ) @ SV384 @ SV655 ) ) @ SV763 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV74 ) ) @ SV763 ) ) ) @ ( red @ SY2729 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3159]) ).

thf(3369,plain,
    ! [SV764: $i,SV657: $i,SV386: $i,SV76: $i] :
      ( ( ! [SY2730: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV76 ) @ SV386 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV657 ) @ SV764 ) ) ) @ ( red @ SY2730 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV76 ) ) @ SV386 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV657 ) ) @ SV764 ) ) ) @ ( red @ SY2730 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3161]) ).

thf(3370,plain,
    ! [SV387: $i,SV77: $i,SV765: $i,SV658: $i] :
      ( ( ! [SY2731: $i,SY2732: $i,SY2733: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV658 ) @ SV765 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2731 ) @ SY2732 ) ) ) @ ( red @ SY2733 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV658 @ SV77 @ SV387 ) ) @ SV765 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY2731 @ SV77 @ SV387 ) ) @ SY2732 ) ) ) @ ( red @ SY2733 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3162]) ).

thf(3371,plain,
    ! [SV766: $i,SV659: $i,SV388: $i,SV78: $i] :
      ( ( ! [SY2734: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV78 ) @ SV388 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV659 ) @ SV766 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2734 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV78 ) ) @ SV388 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV659 ) ) @ SV766 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2734 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3163]) ).

thf(3372,plain,
    ! [SV767: $i,SV660: $i,SV389: $i,SV79: $i] :
      ( ( ! [SY2735: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV79 ) @ SV389 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV660 ) ) @ SV767 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2735 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV79 ) ) @ SV389 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV660 ) ) @ SV767 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2735 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3164]) ).

thf(3373,plain,
    ! [SV768: $i,SV661: $i,SV390: $i,SV80: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV80 @ ( throw_list_char @ SV390 ) ) ) @ SV661 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV390 ) ) @ SV661 ) ) ) @ ( red @ SV768 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3165]) ).

thf(3374,plain,
    ! [SV769: $i,SV662: $i,SV391: $i,SV81: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( throw_list_char @ SV81 ) @ SV391 ) ) @ SV662 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV81 ) ) @ SV662 ) ) ) @ ( red @ SV769 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3166]) ).

thf(3375,plain,
    ! [SV770: $i,SV663: $i,SV392: $i,SV82: $i] :
      ( ( ! [SY2736: $i,SY2737: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( throw_list_char @ SV82 ) @ SV392 @ SV663 @ SV770 ) ) @ SY2736 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV82 ) ) @ SY2736 ) ) ) @ ( red @ SY2737 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3167]) ).

thf(3376,plain,
    ! [SV393: $i,SV83: $i,SV771: $i,SV664: $i] :
      ( ( ! [SY2738: $i,SY2739: $i,SY2740: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV664 ) @ SV771 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2738 ) @ SY2739 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2740 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV664 @ SV83 @ SV393 ) ) @ SV771 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY2738 @ SV83 @ SV393 ) ) @ SY2739 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2740 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3168]) ).

thf(3377,plain,
    ! [SV394: $i,SV84: $i,SV772: $i,SV665: $i] :
      ( ( ! [SY2741: $i,SY2742: $i,SY2743: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV665 ) @ SV772 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2741 ) @ SY2742 ) ) ) @ ( red @ SY2743 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV665 @ SV84 @ SV394 ) ) @ SV772 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY2741 @ SV84 @ SV394 ) ) @ SY2742 ) ) ) @ ( red @ SY2743 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3169]) ).

thf(3378,plain,
    ! [SV666: $i,SV395: $i,SV85: $i,SV773: $i] :
      ( ( ! [SY2744: $i,SY2745: $i,SY2746: $i,SY2747: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV773 ) @ SY2744 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2745 ) @ SY2746 ) ) ) @ ( red @ SY2747 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV773 @ SV85 @ SV395 @ SV666 ) ) @ SY2744 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY2745 @ SV85 @ SV395 @ SV666 ) ) @ SY2746 ) ) ) @ ( red @ SY2747 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3170]) ).

thf(3379,plain,
    ! [SV774: $i,SV667: $i,SV396: $i,SV86: $i] :
      ( ( ! [SY2748: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( throw_list_char @ SV86 ) @ SV396 @ SV667 ) ) @ SV774 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV86 ) ) @ SV774 ) ) ) @ ( red @ SY2748 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3171]) ).

thf(3380,plain,
    ! [SV397: $i,SV87: $i,SV775: $i,SV668: $i] :
      ( ( ! [SY2749: $i,SY2750: $i,SY2751: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV668 ) @ SV775 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2749 ) @ SY2750 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2751 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV668 @ SV87 @ SV397 ) ) @ SV775 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY2749 @ SV87 @ SV397 ) ) @ SY2750 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2751 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3172]) ).

thf(3381,plain,
    ! [SV669: $i,SV398: $i,SV88: $i,SV776: $i] :
      ( ( ! [SY2752: $i,SY2753: $i,SY2754: $i,SY2755: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV776 ) @ SY2752 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2753 ) @ SY2754 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2755 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV776 @ SV88 @ SV398 @ SV669 ) ) @ SY2752 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY2753 @ SV88 @ SV398 @ SV669 ) ) @ SY2754 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2755 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3173]) ).

thf(3382,plain,
    ! [SV89: $i,SV777: $i,SV670: $i,SV399: $i] :
      ( ( ! [SY2756: $i,SY2757: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV399 ) @ SV670 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV777 ) @ SY2756 ) ) ) @ ( red @ SY2757 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV89 @ SV399 ) ) @ SV670 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV89 @ SV777 ) ) @ SY2756 ) ) ) @ ( red @ SY2757 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3174]) ).

thf(3383,plain,
    ! [SV778: $i,SV671: $i,SV400: $i,SV90: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV90 @ ( throw_list_char @ SV400 ) ) ) @ SV671 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV400 ) ) @ SV671 ) ) ) @ ( red @ SV778 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3175]) ).

thf(3384,plain,
    ! [SV91: $i,SV779: $i,SV672: $i,SV401: $i] :
      ( ( ! [SY2758: $i,SY2759: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV401 ) @ SV672 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV779 ) @ SY2758 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2759 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV91 @ SV401 ) ) @ SV672 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV91 @ SV779 ) ) @ SY2758 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2759 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3176]) ).

thf(3385,plain,
    ! [SV92: $i,SV402: $i] :
      ( ( ( hBOOL @ ( preallocated @ SV402 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hext @ SV402 @ SV92 ) )
          | ( hBOOL @ ( preallocated @ SV92 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3177]) ).

thf(3386,plain,
    ! [SV403: $i,SV93: $i,SV780: $i,SV673: $i] :
      ( ( ! [SY2760: $i,SY2761: $i] :
            ( ! [SY2762: $i] :
                ~ ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SY2760 @ SY2761 @ SY2762 ) )
            | ~ ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SY2760 @ SV93 @ SV403 ) )
            | ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SY2760 @ ( seq_list_char @ SY2761 @ SV93 ) @ SV403 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3178]) ).

thf(3387,plain,
    ! [SV781: $i,SV674: $i,SV404: $i,SV94: $i] :
      ( ( ! [SY2763: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SV94 @ SV404 @ SV674 @ SV781 @ SY2763 ) )
            | ( hBOOL @ ( wTrt @ SV94 @ SV404 @ SV674 @ SV781 @ SY2763 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3179]) ).

thf(3388,plain,
    ! [SV782: $i,SV675: $i,SV405: $i,SV95: $i] :
      ( ( ! [SY2764: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV95 @ SV405 @ SV675 @ SV782 @ SY2764 ) )
            | ( hBOOL @ ( wTrt_1 @ SV95 @ SV405 @ SV675 @ SV782 @ SY2764 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3180]) ).

thf(3389,plain,
    ! [SV406: $i,SV96: $i,SV783: $i,SV676: $i] :
      ( ( ! [SY2765: $i,SY2766: $i,SY2767: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV676 ) @ SV783 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2765 ) @ SY2766 ) ) ) @ ( red @ SY2767 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV676 @ SV96 @ SV406 ) ) @ SV783 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SY2765 @ SV96 @ SV406 ) ) @ SY2766 ) ) ) @ ( red @ SY2767 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3181]) ).

thf(3390,plain,
    ! [SV784: $i,SV677: $i,SV407: $i,SV97: $i] :
      ( ( ! [SY2768: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ ( throw_list_char @ SV97 ) @ SV407 @ SV677 ) ) @ SV784 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV97 ) ) @ SV784 ) ) ) @ ( red @ SY2768 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3182]) ).

thf(3391,plain,
    ! [SV408: $i,SV98: $i,SV785: $i,SV678: $i] :
      ( ( ! [SY2769: $i,SY2770: $i,SY2771: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV678 ) @ SV785 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2769 ) @ SY2770 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2771 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV678 @ SV98 @ SV408 ) ) @ SV785 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SY2769 @ SV98 @ SV408 ) ) @ SY2770 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2771 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3183]) ).

thf(3392,plain,
    ! [SV409: $i,SV99: $i,SV786: $i,SV679: $i] :
      ( ( ! [SY2772: $i,SY2773: $i,SY2774: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV679 ) @ SV786 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2772 ) @ SY2773 ) ) ) @ ( red @ SY2774 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV679 @ SV99 @ SV409 ) ) @ SV786 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SY2772 @ SV99 @ SV409 ) ) @ SY2773 ) ) ) @ ( red @ SY2774 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3184]) ).

thf(3393,plain,
    ! [SV787: $i,SV680: $i,SV410: $i,SV100: $i] :
      ( ( ! [SY2775: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ ( throw_list_char @ SV100 ) @ SV410 @ SV680 ) ) @ SV787 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV100 ) ) @ SV787 ) ) ) @ ( red @ SY2775 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3185]) ).

thf(3394,plain,
    ! [SV411: $i,SV101: $i,SV788: $i,SV681: $i] :
      ( ( ! [SY2776: $i,SY2777: $i,SY2778: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV681 ) @ SV788 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2776 ) @ SY2777 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2778 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV681 @ SV101 @ SV411 ) ) @ SV788 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SY2776 @ SV101 @ SV411 ) ) @ SY2777 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2778 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3186]) ).

thf(3395,plain,
    ! [SV102: $i,SV789: $i,SV682: $i,SV412: $i] :
      ( ( ! [SY2779: $i,SY2780: $i] :
            ( ~ ( hBOOL @ ( wTrts_1 @ SV412 @ SV682 @ SV789 @ SY2779 @ SY2780 ) )
            | ~ ( hBOOL @ ( hext @ SV682 @ SV102 ) )
            | ( hBOOL @ ( wTrts_1 @ SV412 @ SV102 @ SV789 @ SY2779 @ SY2780 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3187]) ).

thf(3396,plain,
    ! [SV790: $i,SV683: $i,SV413: $i,SV103: $i] :
      ( ( ! [SY2781: $i] :
            ( ~ ( hBOOL @ ( wTrts @ SV103 @ SV413 @ SV683 @ SV790 @ SY2781 ) )
            | ( hBOOL @ ( wTrts_1 @ SV103 @ SV413 @ SV683 @ SV790 @ SY2781 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3188]) ).

thf(3397,plain,
    ! [SV791: $i,SV684: $i,SV414: $i,SV104: $i] :
      ( ( ! [SY2782: $i] :
            ( ~ ( hBOOL @ ( wTrts_1 @ SV104 @ SV414 @ SV684 @ SV791 @ SY2782 ) )
            | ( hBOOL @ ( wTrts @ SV104 @ SV414 @ SV684 @ SV791 @ SY2782 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3189]) ).

thf(3398,plain,
    ! [SV105: $i] :
      ( ( ( hBOOL @ SV105 )
        = $false )
      | ( ( hBOOL @ ( hAPP_bool_bool @ fNot @ SV105 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3190]) ).

thf(3399,plain,
    ! [SV792: $i,SV685: $i,SV415: $i,SV109: $i] :
      ( ( is_bool @ ( conf_P373316194t_char @ SV109 @ SV415 @ SV685 @ SV792 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3191]) ).

thf(3400,plain,
    ! [SV793: $i,SV687: $i,SV419: $i,SV115: $i] :
      ( ( ! [SY2783: $i] : ( is_bool @ ( wTrt @ SV115 @ SV419 @ SV687 @ SV793 @ SY2783 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3193]) ).

thf(3401,plain,
    ! [SV794: $i,SV688: $i,SV420: $i,SV116: $i] :
      ( ( ! [SY2784: $i] : ( is_bool @ ( wTrts @ SV116 @ SV420 @ SV688 @ SV794 @ SY2784 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3194]) ).

thf(3402,plain,
    ! [SV795: $i,SV690: $i,SV424: $i,SV121: $i] :
      ( ( ! [SY2785: $i] : ( is_bool @ ( wTrt_1 @ SV121 @ SV424 @ SV690 @ SV795 @ SY2785 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3196]) ).

thf(3403,plain,
    ! [SV796: $i,SV691: $i,SV425: $i,SV122: $i] :
      ( ( ! [SY2786: $i] : ( is_bool @ ( wTrts_1 @ SV122 @ SV425 @ SV691 @ SV796 @ SY2786 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3197]) ).

thf(3404,plain,
    ! [SV124: $i,SV427: $i] :
      ( ( ( is_bool @ SV427 )
        = $false )
      | ( ( is_bool @ ( hAPP_bool_bool @ SV124 @ SV427 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3198]) ).

thf(3405,plain,
    ! [SV692: $i,SV544: $i,SV241: $i] :
      ( ( ( ( ( hAPP_P2094403585on_val @ SV241 @ SV544 )
           != SV692 ) )
        = $true )
      | ( ( ( fun_up204312361on_val @ SV241 @ SV544 @ SV692 )
          = SV241 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3199]) ).

thf(3406,plain,
    ! [SV545: $i,SV242: $i,SV797: $i,SV693: $i] :
      ( ( ( SV693 = SV797 )
        | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV242 @ SV797 @ SV545 ) @ SV693 )
          = ( hAPP_P2094403585on_val @ SV242 @ SV693 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3200]) ).

thf(3407,plain,
    ! [SV694: $i,SV546: $i,SV243: $i,SV798: $i] :
      ( ( ! [SY2787: $i] :
            ( ( SV798 = SY2787 )
            | ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV243 @ SV798 @ SV546 ) @ SY2787 @ SV694 )
              = ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV243 @ SY2787 @ SV694 ) @ SV798 @ SV546 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3201]) ).

thf(3408,plain,
    ! [SV799: $i,SV696: $i,SV548: $i,SV245: $i] :
      ( ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV245 @ SV548 @ SV696 ) @ SV548 @ SV799 )
        = ( fun_up204312361on_val @ SV245 @ SV548 @ SV799 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3203]) ).

thf(3409,plain,
    ! [SV800: $i,SV698: $i,SV550: $i,SV247: $i] :
      ( ( ! [SY2788: $i] :
            ( ( block_list_char @ SV247 @ SV550 @ SV698 )
           != ( lAss_list_char @ SV800 @ SY2788 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3205]) ).

thf(3410,plain,
    ! [SV801: $i,SV699: $i,SV551: $i,SV248: $i] :
      ( ( ! [SY2789: $i] :
            ( ( block_list_char @ SV248 @ SV551 @ SV699 )
           != ( seq_list_char @ SV801 @ SY2789 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3206]) ).

thf(3411,plain,
    ! [SV802: $i,SV700: $i,SV552: $i,SV249: $i] :
      ( ( ! [SY2790: $i] :
            ( ( lAss_list_char @ SV249 @ SV552 )
           != ( block_list_char @ SV700 @ SV802 @ SY2790 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3207]) ).

thf(3412,plain,
    ! [SV803: $i,SV701: $i,SV553: $i,SV250: $i] :
      ( ( ( ( seq_list_char @ SV250 @ SV553 )
         != ( lAss_list_char @ SV701 @ SV803 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3208]) ).

thf(3413,plain,
    ! [SV804: $i,SV702: $i,SV554: $i,SV251: $i] :
      ( ( ( ( lAss_list_char @ SV251 @ SV554 )
         != ( seq_list_char @ SV702 @ SV804 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3209]) ).

thf(3414,plain,
    ! [SV805: $i,SV703: $i,SV555: $i,SV252: $i] :
      ( ( ! [SY2791: $i] :
            ( ( seq_list_char @ SV252 @ SV555 )
           != ( block_list_char @ SV703 @ SV805 @ SY2791 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3210]) ).

thf(3415,plain,
    ! [SV806: $i,SV704: $i,SV556: $i,SV253: $i] :
      ( ( ! [SY2792: $i,SY2793: $i] :
            ( ! [SY2794: $i] :
                ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV253 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV556 ) @ SV704 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV806 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2792 ) @ SY2793 ) ) ) ) @ ( red @ SY2794 ) ) )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ ( dom_list_char_val @ SV704 ) ) @ ( dom_list_char_val @ SY2793 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3211]) ).

thf(3416,plain,
    ! [SV254: $i,SV705: $i,SV557: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SV557 @ SV705 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV557 ) @ SV254 ) )
          | ( hBOOL @ ( hAPP_list_char_bool @ SV254 @ SV705 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3212]) ).

thf(3417,plain,
    ! [SV255: $i,SV706: $i,SV558: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV558 ) @ SV706 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SV558 @ SV255 ) )
          | ( hBOOL @ ( hAPP_list_char_bool @ SV706 @ SV255 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3213]) ).

thf(3418,plain,
    ! [SV707: $i,SV559: $i,SV256: $i] :
      ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV256 @ SV559 @ ( hAPP_val_option_val @ some_val @ SV707 ) ) @ ( sK12_X_1 @ SV707 @ SV559 @ SV256 ) )
        = none_val )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3214]) ).

thf(3419,plain,
    ! [SV258: $i,SV708: $i,SV560: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV560 ) @ SV708 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SV560 @ SV258 ) ) @ ( hAPP_list_char_bool @ SV708 @ SV258 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3215]) ).

thf(3420,plain,
    ! [SV259: $i,SV709: $i,SV561: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV561 ) @ SV709 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SV561 @ SV259 ) ) @ ( hAPP_list_char_bool @ SV709 @ SV259 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3216]) ).

thf(3421,plain,
    ! [SV562: $i,SV261: $i] :
      ( ( ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SV261 @ ( sK2_X_1 @ SV562 @ SV261 ) ) ) @ ( hAPP_list_char_bool @ SV562 @ ( sK2_X_1 @ SV562 @ SV261 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV261 ) @ SV562 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3218]) ).

thf(3422,plain,
    ! [SV807: $i,SV710: $i,SV565: $i,SV265: $i] :
      ( ( ( fv @ ( fAss_list_char @ SV265 @ SV565 @ SV710 @ SV807 ) )
        = ( semila919158006r_bool @ ( fv @ SV265 ) @ ( fv @ SV807 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3219]) ).

thf(3423,plain,
    ! [SV567: $i,SV268: $i,SV808: $i,SV712: $i] :
      ( ( ! [SY2795: $i,SY2796: $i,SY2797: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV712 ) @ SV808 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2795 ) ) @ SY2796 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2797 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV712 @ SV268 @ SV567 ) ) @ SV808 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2795 ) ) @ SY2796 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2797 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3221]) ).

thf(3424,plain,
    ! [SV269: $i,SV809: $i,SV713: $i,SV568: $i] :
      ( ( ! [SY2798: $i,SY2799: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV568 ) @ SV713 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV809 ) ) @ SY2798 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2799 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV269 @ SV568 ) ) @ SV713 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV809 ) ) @ SY2798 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2799 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3222]) ).

thf(3425,plain,
    ! [SV270: $i,SV810: $i,SV714: $i,SV569: $i] :
      ( ( ! [SY2800: $i,SY2801: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV569 ) @ SV714 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV810 ) ) @ SY2800 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2801 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV569 @ SV270 ) ) @ SV714 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV810 ) ) @ SY2800 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2801 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3223]) ).

thf(3426,plain,
    ! [SV715: $i,SV570: $i,SV271: $i,SV811: $i] :
      ( ( ! [SY2802: $i,SY2803: $i,SY2804: $i,SY2805: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV811 ) @ SY2802 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2803 ) ) @ SY2804 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2805 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV811 @ SV271 @ SV570 @ SV715 ) ) @ SY2802 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2803 ) ) @ SY2804 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2805 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3224]) ).

thf(3427,plain,
    ! [SV272: $i,SV812: $i,SV716: $i,SV571: $i] :
      ( ( ! [SY2806: $i,SY2807: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SV571 @ SV716 @ SV812 @ SY2806 @ SY2807 ) )
            | ~ ( hBOOL @ ( is_refT @ SY2807 ) )
            | ( hBOOL @ ( wTrt_1 @ SV571 @ SV716 @ SV812 @ ( throw_list_char @ SY2806 ) @ SV272 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3225]) ).

thf(3428,plain,
    ! [SV573: $i,SV274: $i,SV813: $i,SV718: $i] :
      ( ( ! [SY2808: $i,SY2809: $i,SY2810: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV718 ) @ SV813 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2808 ) ) @ SY2809 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2810 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV718 @ SV274 @ SV573 ) ) @ SV813 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2808 ) ) @ SY2809 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2810 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3227]) ).

thf(3429,plain,
    ! [SV276: $i,SV814: $i,SV719: $i,SV575: $i] :
      ( ( ! [SY2811: $i,SY2812: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV575 ) @ SV719 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV814 ) ) @ SY2811 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2812 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV276 @ SV575 ) ) @ SV719 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV814 ) ) @ SY2811 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2812 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3228]) ).

thf(3430,plain,
    ! [SV277: $i,SV815: $i,SV720: $i,SV576: $i] :
      ( ( ! [SY2813: $i,SY2814: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV576 @ SV720 @ SV815 @ SY2813 @ SY2814 ) )
            | ~ ( hBOOL @ ( is_refT @ SY2814 ) )
            | ( hBOOL @ ( wTrt @ SV576 @ SV720 @ SV815 @ ( throw_list_char @ SY2813 ) @ SV277 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3229]) ).

thf(3431,plain,
    ! [SV284: $i,SV816: $i,SV721: $i,SV579: $i] :
      ( ( ! [SY2815: $i,SY2816: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV579 ) @ SV721 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV816 ) ) @ SY2815 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2816 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( while_list_char @ SV579 @ SV284 ) ) @ SV721 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV816 ) ) @ SY2815 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2816 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3232]) ).

thf(3432,plain,
    ! [SV581: $i,SV286: $i,SV817: $i,SV723: $i] :
      ( ( ! [SY2817: $i,SY2818: $i,SY2819: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV723 ) @ SV817 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2817 ) ) @ SY2818 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2819 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV723 @ SV286 @ SV581 ) ) @ SV817 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2817 ) ) @ SY2818 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2819 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3234]) ).

thf(3433,plain,
    ! [SV724: $i,SV582: $i,SV287: $i,SV818: $i] :
      ( ( ! [SY2820: $i,SY2821: $i,SY2822: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SV818 @ SY2820 @ SY2821 @ SY2822 @ nt ) )
            | ( hBOOL @ ( wTrt_1 @ SV818 @ SY2820 @ SY2821 @ ( fAcc_list_char @ SY2822 @ SV287 @ SV582 ) @ SV724 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3235]) ).

thf(3434,plain,
    ! [SV725: $i,SV583: $i,SV288: $i,SV819: $i] :
      ( ( ! [SY2823: $i,SY2824: $i,SY2825: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV819 @ SY2823 @ SY2824 @ SY2825 @ nt ) )
            | ( hBOOL @ ( wTrt @ SV819 @ SY2823 @ SY2824 @ ( fAcc_list_char @ SY2825 @ SV288 @ SV583 ) @ SV725 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3236]) ).

thf(3435,plain,
    ! [SV584: $i,SV289: $i,SV820: $i,SV726: $i] :
      ( ( ! [SY2826: $i,SY2827: $i,SY2828: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV726 ) @ SV820 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2826 ) ) @ SY2827 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2828 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV726 @ SV289 @ SV584 ) ) @ SV820 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2826 ) ) @ SY2827 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2828 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3237]) ).

thf(3436,plain,
    ! [SV585: $i,SV290: $i,SV821: $i,SV727: $i] :
      ( ( ! [SY2829: $i,SY2830: $i,SY2831: $i,SY2832: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SY2829 @ SY2830 @ SY2831 @ SY2832 @ nt ) )
            | ~ ( hBOOL @ ( wTrts_1 @ SY2829 @ SY2830 @ SY2831 @ SV727 @ SV821 ) )
            | ( hBOOL @ ( wTrt_1 @ SY2829 @ SY2830 @ SY2831 @ ( call_list_char @ SY2832 @ SV290 @ SV727 ) @ SV585 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3238]) ).

thf(3437,plain,
    ! [SV586: $i,SV291: $i,SV822: $i,SV728: $i] :
      ( ( ! [SY2833: $i,SY2834: $i,SY2835: $i,SY2836: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SY2833 @ SY2834 @ SY2835 @ SY2836 @ nt ) )
            | ~ ( hBOOL @ ( wTrts @ SY2833 @ SY2834 @ SY2835 @ SV728 @ SV822 ) )
            | ( hBOOL @ ( wTrt @ SY2833 @ SY2834 @ SY2835 @ ( call_list_char @ SY2836 @ SV291 @ SV728 ) @ SV586 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3239]) ).

thf(3438,plain,
    ! [SV292: $i] :
      ( ( ( SV292 = fTrue )
        = $true )
      | ( ( SV292 = fFalse )
        = $true )
      | ( ( is_bool @ SV292 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3240]) ).

thf(3439,plain,
    ! [SV293: $i] :
      ( ( ( SV293 = fTrue )
        = $true )
      | ( ( SV293 = fFalse )
        = $true )
      | ( ( is_bool @ SV293 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3241]) ).

thf(3440,plain,
    ! [SV294: $i,SV823: $i,SV729: $i,SV587: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        | ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
        | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) @ SV823 ) )
            | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
                  | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) )
                        | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) ) ) )
        | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3242]) ).

thf(3441,plain,
    ! [SV824: $i] :
      ( ( ! [SY2837: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV824 ) @ SY2837 ) )
            | ( SY2837 != SV824 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY2837 ) @ SV824 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3243]) ).

thf(3442,plain,
    ! [SV825: $i] :
      ( ( ! [SY2838: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV825 ) @ SY2838 ) )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY2838 ) @ SV825 ) )
            | ( SY2838 = SV825 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3244]) ).

thf(3443,plain,
    ! [SV826: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV826 @ ( sK69_X1 @ SV826 ) ) )
        | ! [SY2839: $i,SY2840: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV826 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2839 ) @ SY2840 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3245]) ).

thf(3444,plain,
    ! [SV827: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV827 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK67_A_1 @ SV827 ) ) @ ( sK68_SY1167 @ SV827 ) ) ) )
        | ! [SY2841: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV827 @ SY2841 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3246]) ).

thf(3445,plain,
    ! [SV588: $i,SV295: $i] :
      ( ( ~ ! [SY2301: $i,SY2302: $i] :
              ( ( SY2302 != SY2301 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV295 @ SY2301 @ SV588 ) @ SY2302 )
                = SV588 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3247]) ).

thf(3446,plain,
    ! [SV588: $i,SV295: $i] :
      ( ( ~ ! [SY2303: $i,SY2304: $i] :
              ( ( SY2304 = SY2303 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV295 @ SY2303 @ SV588 ) @ SY2304 )
                = ( hAPP_l207779698on_val @ SV295 @ SY2304 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3247]) ).

thf(3447,plain,
    ! [SV828: $i] :
      ( ( ! [SY2842: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV828 ) @ SY2842 ) )
            | ( hBOOL @ ( hAPP_P282169671l_bool @ SY2842 @ SV828 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3248]) ).

thf(3448,plain,
    ! [SV829: $i] :
      ( ( ! [SY2843: $i] :
            ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SY2843 @ SV829 ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV829 ) @ SY2843 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3249]) ).

thf(3449,plain,
    ! [SV830: $i,SV730: $i,SV589: $i,SV296: $i] :
      ( ( ! [SY2844: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) ) ) @ ( transi2024712006on_val @ SY2844 ) ) )
            | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 )
              = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SY2844 @ SV830 @ SV730 @ SV589 @ SV296 ) ) @ ( sK21_SY1142 @ SY2844 @ SV830 @ SV730 @ SV589 @ SV296 ) ) ) ) @ SY2844 ) )
                | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SY2844 @ SV830 @ SV730 @ SV589 @ SV296 ) ) @ ( sK21_SY1142 @ SY2844 @ SV830 @ SV730 @ SV589 @ SV296 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) ) ) @ ( transi2024712006on_val @ SY2844 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3250]) ).

thf(3450,plain,
    ! [SV831: $i,SV731: $i,SV590: $i,SV297: $i] :
      ( ( ! [SY2845: $i] :
            ~ ( hBOOL @ ( wTrt_1 @ SV297 @ SV590 @ SV731 @ ( throw_list_char @ SV831 ) @ SY2845 ) )
        | ~ ( ~ ( hBOOL @ ( wTrt_1 @ SV297 @ SV590 @ SV731 @ SV831 @ ( sK1_T_r_1 @ SV831 @ SV731 @ SV590 @ SV297 ) ) )
            | ~ ( hBOOL @ ( is_refT @ ( sK1_T_r_1 @ SV831 @ SV731 @ SV590 @ SV297 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3251]) ).

thf(3451,plain,
    ! [SV832: $i] :
      ( ( ! [SY2846: $i] :
            ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV832 @ SY2846 ) )
        | ( hBOOL @ ( hAPP_P159683425l_bool @ SV832 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK33_A_1 @ SV832 ) ) @ ( sK34_SY1145 @ SV832 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3252]) ).

thf(3452,plain,
    ! [SV833: $i] :
      ( ( ! [SY2847: $i,SY2848: $i] :
            ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV833 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2847 ) @ SY2848 ) ) )
        | ( hBOOL @ ( hAPP_P159683425l_bool @ SV833 @ ( sK32_X1 @ SV833 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3253]) ).

thf(3453,plain,
    ! [SV298: $i] :
      ( ( ! [SY1796: $i,SY1797: $i] :
            ( ~ ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV298 @ SY1796 ) @ SY1797 ) )
            | ( hBOOL @ ( d_list_char @ SY1796 @ SY1797 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3254]) ).

thf(3454,plain,
    ! [SV298: $i] :
      ( ( ! [SY1798: $i,SY1799: $i] :
            ( ~ ( hBOOL @ ( d_list_char @ SY1798 @ SY1799 ) )
            | ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV298 @ SY1798 ) @ SY1799 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3255]) ).

thf(3455,plain,
    ! [SV732: $i,SV591: $i,SV299: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ! [SY2655: $i] :
                          ( ! [SY2656: $i] :
                              ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2655 )
                             != ( hAPP_val_option_val @ some_val @ SY2656 ) )
                          | ( SY2655 = SV591 )
                          | ( SY2655 != SV591 ) )
                    | ~ ! [SY2657: $i,SY2658: $i] :
                          ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2657 )
                           != ( hAPP_val_option_val @ some_val @ SY2658 ) )
                          | ( SY2657 = SV591 )
                          | ( ( hAPP_P2094403585on_val @ SV299 @ SY2657 )
                            = ( hAPP_val_option_val @ some_val @ SY2658 ) ) ) )
              | ~ ~ ( ~ ! [SY2659: $i,SY2660: $i] :
                          ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2659 )
                           != ( hAPP_val_option_val @ some_val @ SY2660 ) )
                          | ( SV732 = SY2660 )
                          | ( SY2659 != SV591 ) )
                    | ~ ! [SY2661: $i,SY2662: $i] :
                          ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2661 )
                           != ( hAPP_val_option_val @ some_val @ SY2662 ) )
                          | ( SV732 = SY2662 )
                          | ( ( hAPP_P2094403585on_val @ SV299 @ SY2661 )
                            = ( hAPP_val_option_val @ some_val @ SY2662 ) ) ) ) )
        | ~ ~ ( ~ ! [SY2663: $i,SY2664: $i] :
                    ( ( SY2663 != SV591 )
                    | ( SV732 != SY2664 )
                    | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2663 )
                      = ( hAPP_val_option_val @ some_val @ SY2664 ) ) )
              | ~ ! [SY2665: $i,SY2666: $i] :
                    ( ( SY2665 = SV591 )
                    | ( ( hAPP_P2094403585on_val @ SV299 @ SY2665 )
                     != ( hAPP_val_option_val @ some_val @ SY2666 ) )
                    | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2665 )
                      = ( hAPP_val_option_val @ some_val @ SY2666 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3256]) ).

thf(3456,plain,
    ! [SV300: $i] :
      ( ( ! [SY1814: $i,SY1815: $i] :
            ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SY1814 @ SY1815 ) )
            | ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV300 @ SY1814 ) @ SY1815 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3257]) ).

thf(3457,plain,
    ! [SV300: $i] :
      ( ( ! [SY1816: $i,SY1817: $i] :
            ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SV300 @ SY1817 ) )
            | ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV300 @ SY1816 ) @ SY1817 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3258]) ).

thf(3458,plain,
    ! [SV301: $i,SV592: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( sK22_X_1 @ SV592 @ SV301 ) ) @ SV592 ) )
          | ~ ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( sK22_X_1 @ SV592 @ SV301 ) ) @ SV301 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV592 ) @ SV301 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3259]) ).

thf(3459,plain,
    ! [SV834: $i] :
      ( ( ! [SY2849: $i] :
            ( ( SV834 != SY2849 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV834 ) @ SY2849 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3260]) ).

thf(3460,plain,
    ! [SV835: $i] :
      ( ( ! [SY2850: $i] :
            ( ( SV835 != SY2850 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY2850 ) @ SV835 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3261]) ).

thf(3461,plain,
    ! [SV733: $i,SV593: $i,SV302: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV302 ) @ SV593 ) ) @ ( transi2024712006on_val @ SV733 ) ) ) )
        = $true )
      | ( ( ( SV302 = SV593 )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV302 ) @ ( sK15_Y_1 @ SV733 @ SV593 @ SV302 ) ) ) @ SV733 ) )
              | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK15_Y_1 @ SV733 @ SV593 @ SV302 ) ) @ SV593 ) ) @ ( transi2024712006on_val @ SV733 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3262]) ).

thf(3462,plain,
    ! [SV836: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV836 @ ( sK63_X1 @ SV836 ) ) )
        | ! [SY2851: $i,SY2852: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV836 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2851 ) @ SY2852 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3263]) ).

thf(3463,plain,
    ! [SV837: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV837 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK61_A_1 @ SV837 ) ) @ ( sK62_SY1165 @ SV837 ) ) ) )
        | ! [SY2853: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV837 @ SY2853 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3264]) ).

thf(3464,plain,
    ! [SV594: $i,SV303: $i] :
      ( ( ~ ! [SY2325: $i,SY2326: $i] :
              ( ( SV303 != SY2325 )
              | ( SV594 != SY2326 )
              | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
                = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2325 ) @ SY2326 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3265]) ).

thf(3465,plain,
    ! [SV594: $i,SV303: $i] :
      ( ( ~ ~ ( ~ ! [SY2327: $i] :
                    ( ! [SY2328: $i] :
                        ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
                       != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2327 ) @ SY2328 ) )
                    | ( SV303 = SY2327 ) )
              | ~ ! [SY2329: $i,SY2330: $i] :
                    ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
                     != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2329 ) @ SY2330 ) )
                    | ( SV594 = SY2330 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3265]) ).

thf(3466,plain,
    ! [SV595: $i,SV304: $i] :
      ( ( ~ ! [SY2331: $i,SY2332: $i] :
              ( ( SV304 != SY2331 )
              | ( SV595 != SY2332 )
              | ( ( lAss_list_char @ SV304 @ SV595 )
                = ( lAss_list_char @ SY2331 @ SY2332 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3266]) ).

thf(3467,plain,
    ! [SV595: $i,SV304: $i] :
      ( ( ~ ~ ( ~ ! [SY2333: $i] :
                    ( ! [SY2334: $i] :
                        ( ( lAss_list_char @ SV304 @ SV595 )
                       != ( lAss_list_char @ SY2333 @ SY2334 ) )
                    | ( SV304 = SY2333 ) )
              | ~ ! [SY2335: $i,SY2336: $i] :
                    ( ( ( lAss_list_char @ SV304 @ SV595 )
                     != ( lAss_list_char @ SY2335 @ SY2336 ) )
                    | ( SV595 = SY2336 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3266]) ).

thf(3468,plain,
    ! [SV838: $i] :
      ( ( ! [SY2854: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV838 ) @ SY2854 ) )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY2854 ) @ SV838 ) )
            | ( SV838 = SY2854 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3267]) ).

thf(3469,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[3268]) ).

thf(3470,plain,
    ! [SV734: $i,SV596: $i,SV305: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV305 ) @ SV596 ) ) @ ( transi2024712006on_val @ SV734 ) ) ) )
        = $true )
      | ( ( ( SV305 = SV596 )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV305 ) @ ( sK16_Y_1 @ SV734 @ SV596 @ SV305 ) ) ) @ ( transi2024712006on_val @ SV734 ) ) )
              | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_Y_1 @ SV734 @ SV596 @ SV305 ) ) @ SV596 ) ) @ SV734 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3269]) ).

thf(3471,plain,
    ! [SV306: $i,SV839: $i,SV735: $i,SV597: $i] :
      ( ( ! [SY2855: $i,SY2856: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SY2855 ) ) ) @ ( transi2024712006on_val @ SY2856 ) ) )
            | ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SY2855 ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK8_A_1 @ SY2856 @ SY2855 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SY2856 @ SY2855 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SY2856 @ SY2855 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SY2856 @ SY2855 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) @ SY2856 ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SY2856 @ SY2855 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SY2856 @ SY2855 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SY2855 ) ) ) @ ( transi2024712006on_val @ SY2856 ) ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK10_SY1137 @ SY2856 @ SY2855 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SY2856 @ SY2855 @ SV839 @ SV735 @ SV597 @ SV306 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK8_A_1 @ SY2856 @ SY2855 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SY2856 @ SY2855 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3270]) ).

thf(3472,plain,
    ! [SV598: $i,SV307: $i] :
      ( ( ~ ! [SY2342: $i,SY2343: $i] :
              ( ( SV307 != SY2342 )
              | ( SV598 != SY2343 )
              | ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
                = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2342 ) @ SY2343 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3271]) ).

thf(3473,plain,
    ! [SV598: $i,SV307: $i] :
      ( ( ~ ~ ( ~ ! [SY2344: $i] :
                    ( ! [SY2345: $i] :
                        ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
                       != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2344 ) @ SY2345 ) )
                    | ( SV307 = SY2344 ) )
              | ~ ! [SY2346: $i,SY2347: $i] :
                    ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
                     != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2346 ) @ SY2347 ) )
                    | ( SV598 = SY2347 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3271]) ).

thf(3474,plain,
    ! [SV599: $i,SV308: $i] :
      ( ( ~ ! [SY2348: $i,SY2349: $i] :
              ( ( SV308 != SY2348 )
              | ( SV599 != SY2349 )
              | ( ( seq_list_char @ SV308 @ SV599 )
                = ( seq_list_char @ SY2348 @ SY2349 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3272]) ).

thf(3475,plain,
    ! [SV599: $i,SV308: $i] :
      ( ( ~ ~ ( ~ ! [SY2350: $i] :
                    ( ! [SY2351: $i] :
                        ( ( seq_list_char @ SV308 @ SV599 )
                       != ( seq_list_char @ SY2350 @ SY2351 ) )
                    | ( SV308 = SY2350 ) )
              | ~ ! [SY2352: $i,SY2353: $i] :
                    ( ( ( seq_list_char @ SV308 @ SV599 )
                     != ( seq_list_char @ SY2352 @ SY2353 ) )
                    | ( SV599 = SY2353 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3272]) ).

thf(3476,plain,
    ! [SV736: $i,SV600: $i,SV309: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ! [SY2670: $i] :
                          ( ! [SY2671: $i] :
                              ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2670 )
                             != ( hAPP_val_option_val @ some_val @ SY2671 ) )
                          | ( SY2670 = SV600 )
                          | ( SY2670 != SV600 ) )
                    | ~ ! [SY2672: $i,SY2673: $i] :
                          ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2672 )
                           != ( hAPP_val_option_val @ some_val @ SY2673 ) )
                          | ( SY2672 = SV600 )
                          | ( ( hAPP_l207779698on_val @ SV309 @ SY2672 )
                            = ( hAPP_val_option_val @ some_val @ SY2673 ) ) ) )
              | ~ ~ ( ~ ! [SY2674: $i,SY2675: $i] :
                          ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2674 )
                           != ( hAPP_val_option_val @ some_val @ SY2675 ) )
                          | ( SV736 = SY2675 )
                          | ( SY2674 != SV600 ) )
                    | ~ ! [SY2676: $i,SY2677: $i] :
                          ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2676 )
                           != ( hAPP_val_option_val @ some_val @ SY2677 ) )
                          | ( SV736 = SY2677 )
                          | ( ( hAPP_l207779698on_val @ SV309 @ SY2676 )
                            = ( hAPP_val_option_val @ some_val @ SY2677 ) ) ) ) )
        | ~ ~ ( ~ ! [SY2678: $i,SY2679: $i] :
                    ( ( SY2678 != SV600 )
                    | ( SV736 != SY2679 )
                    | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2678 )
                      = ( hAPP_val_option_val @ some_val @ SY2679 ) ) )
              | ~ ! [SY2680: $i,SY2681: $i] :
                    ( ( SY2680 = SV600 )
                    | ( ( hAPP_l207779698on_val @ SV309 @ SY2680 )
                     != ( hAPP_val_option_val @ some_val @ SY2681 ) )
                    | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2680 )
                      = ( hAPP_val_option_val @ some_val @ SY2681 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3273]) ).

thf(3477,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)],[3274]) ).

thf(3478,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)],[3275]) ).

thf(3479,plain,
    ! [SV601: $i,SV310: $i] :
      ( ( ~ ! [SY2367: $i] :
              ( ! [SY2368: $i] :
                  ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV310 ) @ SV601 )
                 != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2367 ) @ SY2368 ) )
              | ( SV310 = SY2367 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3276]) ).

thf(3480,plain,
    ! [SV601: $i,SV310: $i] :
      ( ( ~ ! [SY2369: $i,SY2370: $i] :
              ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV310 ) @ SV601 )
               != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2369 ) @ SY2370 ) )
              | ( SV601 = SY2370 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3276]) ).

thf(3481,plain,
    ! [SV602: $i,SV311: $i] :
      ( ( ~ ! [SY2371: $i,SY2372: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV311 @ SV602 ) @ SY2371 )
               != ( hAPP_val_option_val @ some_val @ SY2372 ) )
              | ( ( hAPP_l207779698on_val @ SV602 @ SY2371 )
                = none_val )
              | ( ( hAPP_l207779698on_val @ SV602 @ SY2371 )
                = ( hAPP_val_option_val @ some_val @ SY2372 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3277]) ).

thf(3482,plain,
    ! [SV602: $i,SV311: $i] :
      ( ( ~ ! [SY2373: $i,SY2374: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV311 @ SV602 ) @ SY2373 )
               != ( hAPP_val_option_val @ some_val @ SY2374 ) )
              | ( ( hAPP_l207779698on_val @ SV311 @ SY2373 )
                = ( hAPP_val_option_val @ some_val @ SY2374 ) )
              | ( ( hAPP_l207779698on_val @ SV602 @ SY2373 )
                = ( hAPP_val_option_val @ some_val @ SY2374 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3277]) ).

thf(3483,plain,
    ! [SV603: $i,SV312: $i] :
      ( ( ~ ! [SY2375: $i,SY2376: $i] :
              ( ( SY2376 != SY2375 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV312 @ SY2375 @ SV603 ) @ SY2376 )
                = SV603 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3278]) ).

thf(3484,plain,
    ! [SV603: $i,SV312: $i] :
      ( ( ~ ! [SY2377: $i,SY2378: $i] :
              ( ( SY2378 = SY2377 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV312 @ SY2377 @ SV603 ) @ SY2378 )
                = ( hAPP_P2094403585on_val @ SV312 @ SY2378 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3278]) ).

thf(3485,plain,
    ! [SV604: $i,SV313: $i] :
      ( ( ~ ! [SY2379: $i] :
              ( ! [SY2380: $i] :
                  ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV604 )
                 != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2379 ) @ SY2380 ) )
              | ( SV313 = SY2379 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3279]) ).

thf(3486,plain,
    ! [SV604: $i,SV313: $i] :
      ( ( ~ ! [SY2381: $i,SY2382: $i] :
              ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV604 )
               != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2381 ) @ SY2382 ) )
              | ( SV604 = SY2382 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3279]) ).

thf(3487,plain,
    ! [SV840: $i] :
      ( ( ( SV840
          = ( hAPP_val_option_val @ some_val @ ( sK25_Y_1 @ SV840 ) ) )
        | ( SV840 = none_val ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3280]) ).

thf(3488,plain,
    ! [SV841: $i] :
      ( ( ( SV841 != none_val )
        | ! [SY2857: $i] :
            ( SV841
           != ( hAPP_val_option_val @ some_val @ SY2857 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3281]) ).

thf(3489,plain,
    ! [SV605: $i,SV314: $i] :
      ( ( ~ ! [SY2383: $i,SY2384: $i] :
              ( ( SY2383 != SY2384 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV314 @ SY2384 @ SV605 ) @ SY2383 )
                = SV605 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3282]) ).

thf(3490,plain,
    ! [SV605: $i,SV314: $i] :
      ( ( ~ ! [SY2385: $i,SY2386: $i] :
              ( ( SY2385 = SY2386 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV314 @ SY2386 @ SV605 ) @ SY2385 )
                = ( hAPP_P2094403585on_val @ SV314 @ SY2385 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3282]) ).

thf(3491,plain,
    ! [SV842: $i] :
      ( ( ! [SY2858: $i] :
            ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SY2858 @ SV842 ) ) @ ( sK48_SY1152 @ SY2858 @ SV842 ) ) ) @ SY2858 ) )
                    | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SY2858 @ SV842 ) ) @ ( sK48_SY1152 @ SY2858 @ SV842 ) ) ) @ SV842 ) ) )
                | ~ ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SY2858 @ SV842 ) ) @ ( sK48_SY1152 @ SY2858 @ SV842 ) ) ) @ SY2858 ) )
                    | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SY2858 @ SV842 ) ) @ ( sK48_SY1152 @ SY2858 @ SV842 ) ) ) @ SV842 ) ) ) )
            | ( SY2858 = SV842 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3283]) ).

thf(3492,plain,
    ! [SV843: $i] :
      ( ( ! [SY2859: $i] :
            ( ( SY2859 != SV843 )
            | ~ ( ~ ! [SY2860: $i,SY2861: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2860 ) @ SY2861 ) ) @ SY2859 ) )
                      | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2860 ) @ SY2861 ) ) @ SV843 ) ) )
                | ~ ! [SY2862: $i,SY2863: $i] :
                      ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2862 ) @ SY2863 ) ) @ SV843 ) )
                      | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2862 ) @ SY2863 ) ) @ SY2859 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3284]) ).

thf(3493,plain,
    ! [SV315: $i] :
      ( ( ! [SY1895: $i,SY1896: $i] :
            ( ( ( fun_up204312361on_val @ SV315 @ SY1895 @ SY1896 )
             != SV315 )
            | ( ( hAPP_P2094403585on_val @ SV315 @ SY1895 )
              = SY1896 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3285]) ).

thf(3494,plain,
    ! [SV315: $i] :
      ( ( ! [SY1897: $i,SY1898: $i] :
            ( ( ( hAPP_P2094403585on_val @ SV315 @ SY1897 )
             != SY1898 )
            | ( ( fun_up204312361on_val @ SV315 @ SY1897 @ SY1898 )
              = SV315 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3286]) ).

thf(3495,plain,
    ! [SV316: $i] :
      ( ( ! [SY1899: $i,SY1900: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SY1899 ) @ SY1900 ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SY1899 ) @ ( semila751111325l_bool @ SV316 @ SY1900 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3287]) ).

thf(3496,plain,
    ! [SV316: $i] :
      ( ( ! [SY1901: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SY1901 ) @ SV316 ) )
            | ! [SY1902: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SY1901 ) @ ( semila751111325l_bool @ SV316 @ SY1902 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3288]) ).

thf(3497,plain,
    ! [SV844: $i] :
      ( ( ! [SY2864: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV844 ) @ SY2864 ) )
            | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY2864 ) @ SV844 ) )
            | ( SV844 = SY2864 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3289]) ).

thf(3498,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[3290]) ).

thf(3499,plain,
    ! [SV845: $i] :
      ( ( ( SV845 = none_val )
        | ( SV845
          = ( hAPP_val_option_val @ some_val @ ( sK24_Y_1 @ SV845 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3291]) ).

thf(3500,plain,
    ! [SV846: $i] :
      ( ( ! [SY2865: $i] :
            ( SV846
           != ( hAPP_val_option_val @ some_val @ SY2865 ) )
        | ( SV846 != none_val ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3292]) ).

thf(3501,plain,
    ! [SV606: $i,SV317: $i] :
      ( ( ~ ! [SY2387: $i,SY2388: $i] :
              ( ( SY2387 != SY2388 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV317 @ SY2388 @ SV606 ) @ SY2387 )
                = SV606 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3293]) ).

thf(3502,plain,
    ! [SV606: $i,SV317: $i] :
      ( ( ~ ! [SY2389: $i,SY2390: $i] :
              ( ( SY2389 = SY2390 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV317 @ SY2390 @ SV606 ) @ SY2389 )
                = ( hAPP_l207779698on_val @ SV317 @ SY2389 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3293]) ).

thf(3503,plain,
    ! [SV318: $i] :
      ( ( ! [SY1908: $i,SY1909: $i] :
            ( ( ( hAPP_l207779698on_val @ SY1908 @ SY1909 )
             != none_val )
            | ( ( hAPP_l207779698on_val @ SV318 @ SY1909 )
             != none_val )
            | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SY1908 ) @ SY1909 )
              = none_val ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3294]) ).

thf(3504,plain,
    ! [SV318: $i] :
      ( ( ~ ( ~ ! [SY1910: $i,SY1911: $i] :
                  ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SY1910 ) @ SY1911 )
                   != none_val )
                  | ( ( hAPP_l207779698on_val @ SY1910 @ SY1911 )
                    = none_val ) )
            | ~ ! [SY1912: $i,SY1913: $i] :
                  ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SY1912 ) @ SY1913 )
                   != none_val )
                  | ( ( hAPP_l207779698on_val @ SV318 @ SY1913 )
                    = none_val ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3295]) ).

thf(3505,plain,
    ! [SV319: $i,SV847: $i,SV737: $i,SV607: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        | ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
        | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) @ ( transi2024712006on_val @ SV847 ) ) )
            | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) @ SV847 ) )
                  | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) )
                        | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) ) ) )
        | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3296]) ).

thf(3506,plain,
    ! [SV320: $i] :
      ( ( ! [SY1917: $i,SY1918: $i] :
            ( ( ( fun_up1149430426on_val @ SV320 @ SY1917 @ SY1918 )
             != SV320 )
            | ( ( hAPP_l207779698on_val @ SV320 @ SY1917 )
              = SY1918 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3297]) ).

thf(3507,plain,
    ! [SV320: $i] :
      ( ( ! [SY1919: $i,SY1920: $i] :
            ( ( ( hAPP_l207779698on_val @ SV320 @ SY1919 )
             != SY1920 )
            | ( ( fun_up1149430426on_val @ SV320 @ SY1919 @ SY1920 )
              = SV320 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3298]) ).

thf(3508,plain,
    ! [SV848: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV848 @ ( sK66_X1 @ SV848 ) ) )
        | ! [SY2866: $i,SY2867: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV848 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2866 ) @ SY2867 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3299]) ).

thf(3509,plain,
    ! [SV849: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV849 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK64_A_1 @ SV849 ) ) @ ( sK65_SY1166 @ SV849 ) ) ) )
        | ! [SY2868: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV849 @ SY2868 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3300]) ).

thf(3510,plain,
    ! [SV608: $i,SV321: $i] :
      ( ( ~ ! [SY2393: $i] :
              ( ! [SY2394: $i] :
                  ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV321 ) @ SV608 )
                 != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2393 ) @ SY2394 ) )
              | ( SV321 = SY2393 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3301]) ).

thf(3511,plain,
    ! [SV608: $i,SV321: $i] :
      ( ( ~ ! [SY2395: $i,SY2396: $i] :
              ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV321 ) @ SV608 )
               != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2395 ) @ SY2396 ) )
              | ( SV608 = SY2396 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3301]) ).

thf(3512,plain,
    ! [SV322: $i,SV850: $i,SV738: $i,SV609: $i] :
      ( ( ! [SY2869: $i,SY2870: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SY2869 ) ) ) @ ( transi2024712006on_val @ SY2870 ) ) )
            | ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SY2870 @ SY2869 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SY2870 @ SY2869 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ ( transi2024712006on_val @ SY2870 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SY2870 @ SY2869 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SY2870 @ SY2869 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY1131 @ SY2870 @ SY2869 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SY2870 @ SY2869 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ SY2870 ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK4_A_1 @ SY2870 @ SY2869 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SY2870 @ SY2869 @ SV850 @ SV738 @ SV609 @ SV322 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK6_SY1131 @ SY2870 @ SY2869 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SY2870 @ SY2869 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SY2869 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3302]) ).

thf(3513,plain,
    ! [SV851: $i] :
      ( ( ! [SY2871: $i] :
            ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV851 @ SY2871 ) )
        | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV851 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK30_A_1 @ SV851 ) ) @ ( sK31_SY1144 @ SV851 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3303]) ).

thf(3514,plain,
    ! [SV852: $i] :
      ( ( ! [SY2872: $i,SY2873: $i] :
            ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV852 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2872 ) @ SY2873 ) ) )
        | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV852 @ ( sK29_X1 @ SV852 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3304]) ).

thf(3515,plain,
    ! [SV610: $i,SV323: $i] :
      ( ( ~ ! [SY2401: $i,SY2402: $i] :
              ( ( SV323 != SY2401 )
              | ( SV610 != SY2402 )
              | ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
                = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2401 ) @ SY2402 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3305]) ).

thf(3516,plain,
    ! [SV610: $i,SV323: $i] :
      ( ( ~ ~ ( ~ ! [SY2403: $i] :
                    ( ! [SY2404: $i] :
                        ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
                       != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2403 ) @ SY2404 ) )
                    | ( SV323 = SY2403 ) )
              | ~ ! [SY2405: $i,SY2406: $i] :
                    ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
                     != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2405 ) @ SY2406 ) )
                    | ( SV610 = SY2406 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3305]) ).

thf(3517,plain,
    ! [SV853: $i] :
      ( ( ! [SY2874: $i] :
            ( ( ( hAPP_val_option_val @ some_val @ SV853 )
             != ( hAPP_val_option_val @ some_val @ SY2874 ) )
            | ( SV853 = SY2874 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3306]) ).

thf(3518,plain,
    ! [SV854: $i] :
      ( ( ! [SY2875: $i] :
            ( ( SV854 != SY2875 )
            | ( ( hAPP_val_option_val @ some_val @ SV854 )
              = ( hAPP_val_option_val @ some_val @ SY2875 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3307]) ).

thf(3519,plain,
    ! [SV611: $i,SV324: $i] :
      ( ( ~ ~ ( ~ ! [SY2407: $i,SY2408: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2407 )
                     != ( hAPP_val_option_val @ some_val @ SY2408 ) )
                    | ( ( hAPP_l207779698on_val @ SV611 @ SY2407 )
                      = none_val )
                    | ( ( hAPP_l207779698on_val @ SV611 @ SY2407 )
                      = ( hAPP_val_option_val @ some_val @ SY2408 ) ) )
              | ~ ! [SY2409: $i,SY2410: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2409 )
                     != ( hAPP_val_option_val @ some_val @ SY2410 ) )
                    | ( ( hAPP_l207779698on_val @ SV324 @ SY2409 )
                      = ( hAPP_val_option_val @ some_val @ SY2410 ) )
                    | ( ( hAPP_l207779698on_val @ SV611 @ SY2409 )
                      = ( hAPP_val_option_val @ some_val @ SY2410 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3308]) ).

thf(3520,plain,
    ! [SV324: $i,SV611: $i] :
      ( ( ~ ~ ( ~ ! [SY2411: $i,SY2412: $i] :
                    ( ( ( hAPP_l207779698on_val @ SV611 @ SY2411 )
                     != none_val )
                    | ( ( hAPP_l207779698on_val @ SV324 @ SY2411 )
                     != ( hAPP_val_option_val @ some_val @ SY2412 ) )
                    | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2411 )
                      = ( hAPP_val_option_val @ some_val @ SY2412 ) ) )
              | ~ ! [SY2413: $i,SY2414: $i] :
                    ( ( ( hAPP_l207779698on_val @ SV611 @ SY2413 )
                     != ( hAPP_val_option_val @ some_val @ SY2414 ) )
                    | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2413 )
                      = ( hAPP_val_option_val @ some_val @ SY2414 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3308]) ).

thf(3521,plain,
    ! [SV855: $i] :
      ( ( ! [SY2876: $i] :
            ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SV855 @ ( sK3_X_1 @ SY2876 @ SV855 ) ) ) @ ( hAPP_list_char_bool @ SY2876 @ ( sK3_X_1 @ SY2876 @ SV855 ) ) ) )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV855 ) @ SY2876 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3309]) ).

thf(3522,plain,
    ! [SV856: $i] :
      ( ( ! [SY2877: $i] :
            ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV856 ) @ SY2877 ) )
            | ! [SY2878: $i] : ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SV856 @ SY2878 ) ) @ ( hAPP_list_char_bool @ SY2877 @ SY2878 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3310]) ).

thf(3523,plain,
    ! [SV739: $i,SV612: $i,SV325: $i] :
      ( ( ~ ! [SY2686: $i,SY2687: $i] :
              ( ~ ( hBOOL @ ( wTrt @ SV325 @ SV612 @ SV739 @ SY2686 @ SY2687 ) )
              | ( hBOOL @ ( wTrt_1 @ SV325 @ SV612 @ SV739 @ SY2686 @ SY2687 ) ) )
        | ~ ! [SY2688: $i,SY2689: $i] :
              ( ~ ( hBOOL @ ( wTrt_1 @ SV325 @ SV612 @ SV739 @ SY2688 @ SY2689 ) )
              | ( hBOOL @ ( wTrt @ SV325 @ SV612 @ SV739 @ SY2688 @ SY2689 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3311]) ).

thf(3524,plain,
    ! [SV740: $i,SV613: $i,SV326: $i] :
      ( ( ~ ! [SY2690: $i,SY2691: $i] :
              ( ~ ( hBOOL @ ( wTrts @ SV326 @ SV613 @ SV740 @ SY2690 @ SY2691 ) )
              | ( hBOOL @ ( wTrts_1 @ SV326 @ SV613 @ SV740 @ SY2690 @ SY2691 ) ) )
        | ~ ! [SY2692: $i,SY2693: $i] :
              ( ~ ( hBOOL @ ( wTrts_1 @ SV326 @ SV613 @ SV740 @ SY2692 @ SY2693 ) )
              | ( hBOOL @ ( wTrts @ SV326 @ SV613 @ SV740 @ SY2692 @ SY2693 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3312]) ).

thf(3525,plain,
    ! [SV857: $i] :
      ( ( ! [SY2879: $i] :
            ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV857 @ SY2879 ) )
        | ( hBOOL @ ( hAPP_P282169671l_bool @ SV857 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK27_A_1 @ SV857 ) ) @ ( sK28_SY1143 @ SV857 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3313]) ).

thf(3526,plain,
    ! [SV858: $i] :
      ( ( ! [SY2880: $i,SY2881: $i] :
            ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV858 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2880 ) @ SY2881 ) ) )
        | ( hBOOL @ ( hAPP_P282169671l_bool @ SV858 @ ( sK26_X1 @ SV858 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3314]) ).

thf(3527,plain,
    ! [SV614: $i,SV329: $i,SV3: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV3 @ SV329 )
          = ( hAPP_val_option_val @ some_val @ SV614 ) )
        = $false )
      | ( ( ( fun_up1149430426on_val @ SV3 @ SV329 @ ( hAPP_val_option_val @ some_val @ SV614 ) )
          = SV3 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3315]) ).

thf(3528,plain,
    ! [SV615: $i,SV330: $i,SV4: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ SV4 @ SV330 )
          = ( hAPP_val_option_val @ some_val @ SV615 ) )
        = $false )
      | ( ( ( fun_up204312361on_val @ SV4 @ SV330 @ ( hAPP_val_option_val @ some_val @ SV615 ) )
          = SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3316]) ).

thf(3529,plain,
    ! [SV859: $i,SV741: $i,SV616: $i,SV331: $i,SV5: $i] :
      ( ( ( ( fun_up1149430426on_val @ SV5 @ SV331 @ ( hAPP_val_option_val @ some_val @ SV616 ) )
         != ( fun_up1149430426on_val @ SV741 @ SV331 @ ( hAPP_val_option_val @ some_val @ SV859 ) ) )
        | ( SV616 = SV859 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3317]) ).

thf(3530,plain,
    ! [SV860: $i,SV742: $i,SV617: $i,SV332: $i,SV6: $i] :
      ( ( ( ( fun_up204312361on_val @ SV6 @ SV332 @ ( hAPP_val_option_val @ some_val @ SV617 ) )
         != ( fun_up204312361on_val @ SV742 @ SV332 @ ( hAPP_val_option_val @ some_val @ SV860 ) ) )
        | ( SV617 = SV860 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3318]) ).

thf(3531,plain,
    ! [SV618: $i,SV334: $i,SV9: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV9 @ SV334 )
          = SV618 )
        = $false )
      | ( ( ( fun_up1149430426on_val @ SV9 @ SV334 @ SV618 )
          = SV9 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3320]) ).

thf(3532,plain,
    ! [SV335: $i,SV10: $i,SV743: $i,SV619: $i] :
      ( ( ( SV619 = SV743 )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV10 @ SV743 @ SV335 ) @ SV619 )
          = ( hAPP_l207779698on_val @ SV10 @ SV619 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3321]) ).

thf(3533,plain,
    ! [SV620: $i,SV336: $i,SV11: $i,SV861: $i,SV744: $i] :
      ( ( ( SV744 = SV861 )
        | ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SV744 @ SV336 ) @ SV861 @ SV620 )
          = ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SV861 @ SV620 ) @ SV744 @ SV336 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3322]) ).

thf(3534,plain,
    ! [SV862: $i,SV746: $i,SV623: $i,SV341: $i,SV24: $i] :
      ( ( ! [SY2882: $i,SY2883: $i] :
            ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV24 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV341 ) @ SV623 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV746 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV862 ) @ SY2882 ) ) ) ) @ ( red @ SY2883 ) ) )
        | ( hBOOL @ ( hext @ SV341 @ SV862 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3326]) ).

thf(3535,plain,
    ! [SV25: $i,SV863: $i,SV747: $i,SV624: $i,SV342: $i] :
      ( ( ! [SY2884: $i,SY2885: $i,SY2886: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV342 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV624 ) @ SV747 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV863 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2884 ) @ SY2885 ) ) ) ) @ ( red @ SY2886 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV342 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV624 ) @ ( map_ad325961431ar_val @ SV25 @ SV747 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV863 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2884 ) @ ( map_ad325961431ar_val @ SV25 @ SY2885 ) ) ) ) ) @ ( red @ SY2886 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3327]) ).

thf(3536,plain,
    ! [SV26: $i,SV748: $i,SV625: $i,SV343: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ SV343 @ SV625 )
           != ( hAPP_val_option_val @ some_val @ SV748 ) ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV26 @ SV343 ) @ SV625 )
          = ( hAPP_val_option_val @ some_val @ SV748 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3328]) ).

thf(3537,plain,
    ! [SV27: $i,SV864: $i,SV749: $i,SV626: $i,SV344: $i] :
      ( ( ! [SY2887: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV344 ) @ SV626 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV749 ) @ SV864 ) ) ) @ ( red @ SY2887 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV27 @ SV344 ) ) @ SV626 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV27 @ SV749 ) ) @ SV864 ) ) ) @ ( red @ SY2887 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3329]) ).

thf(3538,plain,
    ! [SV28: $i,SV865: $i,SV750: $i,SV627: $i,SV345: $i] :
      ( ( ! [SY2888: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV345 ) @ SV627 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV750 ) @ SV865 ) ) ) @ ( red @ SY2888 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV345 @ SV28 ) ) @ SV627 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV750 @ SV28 ) ) @ SV865 ) ) ) @ ( red @ SY2888 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3330]) ).

thf(3539,plain,
    ! [SV348: $i,SV31: $i,SV866: $i,SV753: $i,SV630: $i] :
      ( ( ! [SY2889: $i] :
            ( ! [SY2890: $i] :
                ~ ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SV866 @ SY2889 @ SY2890 ) )
            | ~ ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SV866 @ SV31 @ SV348 ) )
            | ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SV866 @ ( seq_list_char @ SY2889 @ SV31 ) @ SV348 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3333]) ).

thf(3540,plain,
    ! [SV33: $i,SV867: $i,SV754: $i,SV631: $i,SV349: $i] :
      ( ( ! [SY2891: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SV349 @ SV631 @ SV754 @ SV867 @ SY2891 ) )
            | ~ ( hBOOL @ ( hext @ SV631 @ SV33 ) )
            | ( hBOOL @ ( wTrt_1 @ SV349 @ SV33 @ SV754 @ SV867 @ SY2891 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3334]) ).

thf(3541,plain,
    ! [SV34: $i,SV632: $i,SV350: $i] :
      ( ( ( hBOOL @ ( hext @ SV350 @ SV632 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hext @ SV632 @ SV34 ) )
          | ( hBOOL @ ( hext @ SV350 @ SV34 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3335]) ).

thf(3542,plain,
    ! [SV38: $i,SV868: $i,SV755: $i,SV634: $i,SV352: $i] :
      ( ( ! [SY2892: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV352 ) @ SV634 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV755 ) @ SV868 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2892 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV352 @ SV38 ) ) @ SV634 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV755 @ SV38 ) ) @ SV868 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2892 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3337]) ).

thf(3543,plain,
    ! [SV39: $i,SV869: $i,SV756: $i,SV635: $i,SV353: $i] :
      ( ( ! [SY2893: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV353 ) @ SV635 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV756 ) @ SV869 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2893 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV39 @ SV353 ) ) @ SV635 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV39 @ SV756 ) ) @ SV869 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2893 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3338]) ).

thf(3544,plain,
    ! [SV40: $i,SV870: $i,SV757: $i,SV636: $i,SV354: $i] :
      ( ( ! [SY2894: $i,SY2895: $i,SY2896: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV354 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV636 ) @ SV757 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV870 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2894 ) @ SY2895 ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2896 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV354 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV636 ) @ ( map_ad325961431ar_val @ SV40 @ SV757 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV870 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2894 ) @ ( map_ad325961431ar_val @ SV40 @ SY2895 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2896 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3339]) ).

thf(3545,plain,
    ! [SV43: $i,SV357: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV357 ) @ SV43 ) ) )
        = $true )
      | ( ( SV43 = SV357 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV43 ) @ SV357 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3341]) ).

thf(3546,plain,
    ! [SV44: $i,SV637: $i,SV358: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV358 ) @ SV637 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV44 ) @ SV358 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV44 ) @ SV637 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3342]) ).

thf(3547,plain,
    ! [SV46: $i,SV360: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV360 ) @ ( transi2024712006on_val @ SV46 ) ) ) )
        = $true )
      | ( ( ( transi2024712006on_val @ SV360 )
          = ( transi2024712006on_val @ SV46 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV46 ) @ SV360 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3344]) ).

thf(3548,plain,
    ! [SV52: $i,SV638: $i,SV364: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV364 ) @ SV638 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV52 ) @ SV364 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV52 ) @ SV638 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3348]) ).

thf(3549,plain,
    ! [SV53: $i,SV639: $i,SV365: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV365 ) @ SV639 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV639 ) @ SV53 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV365 ) @ SV53 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3349]) ).

thf(3550,plain,
    ! [SV54: $i,SV640: $i,SV366: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV366 ) @ SV640 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV54 ) @ SV366 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV54 ) @ SV640 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3350]) ).

thf(3551,plain,
    ! [SV55: $i,SV641: $i,SV367: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV367 ) @ SV641 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV641 ) @ SV55 ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV367 ) @ SV55 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3351]) ).

thf(3552,plain,
    ! [SV56: $i,SV758: $i,SV642: $i,SV368: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV368 ) @ SV642 ) ) @ SV758 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV642 ) @ SV56 ) ) @ ( transi2024712006on_val @ SV758 ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV368 ) @ SV56 ) ) @ ( transi2024712006on_val @ SV758 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3352]) ).

thf(3553,plain,
    ! [SV57: $i,SV759: $i,SV643: $i,SV369: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV369 ) @ SV643 ) ) @ ( transi2024712006on_val @ SV759 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV643 ) @ SV57 ) ) @ SV759 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV369 ) @ SV57 ) ) @ ( transi2024712006on_val @ SV759 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3353]) ).

thf(3554,plain,
    ! [SV58: $i,SV760: $i,SV644: $i,SV370: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV370 ) @ SV644 ) ) @ ( transi2024712006on_val @ SV760 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV644 ) @ SV58 ) ) @ ( transi2024712006on_val @ SV760 ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV370 ) @ SV58 ) ) @ ( transi2024712006on_val @ SV760 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3354]) ).

thf(3555,plain,
    ! [SV61: $i,SV645: $i,SV371: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV371 ) @ SV645 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV61 ) @ SV371 ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV61 ) @ SV645 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3355]) ).

thf(3556,plain,
    ! [SV62: $i,SV372: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV372 ) @ SV62 ) ) )
        = $true )
      | ( ( SV372 = SV62 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV62 ) @ SV372 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3356]) ).

thf(3557,plain,
    ! [SV63: $i,SV646: $i,SV373: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV373 ) @ SV646 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV646 ) @ SV63 ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV373 ) @ SV63 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3357]) ).

thf(3558,plain,
    ! [SV64: $i,SV374: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV374 ) @ SV64 ) ) )
        = $true )
      | ( ( SV64 = SV374 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV64 ) @ SV374 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3358]) ).

thf(3559,plain,
    ! [SV65: $i,SV647: $i,SV375: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV375 ) @ SV647 ) )
        = $false )
      | ( ( ( SV375 != SV65 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV65 ) @ SV647 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3359]) ).

thf(3560,plain,
    ! [SV66: $i,SV648: $i,SV376: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV376 ) @ SV648 ) )
        = $false )
      | ( ( ( SV648 != SV66 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV376 ) @ SV66 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3360]) ).

thf(3561,plain,
    ! [SV67: $i,SV649: $i,SV377: $i] :
      ( ( ( SV377 = SV649 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV67 ) @ SV649 ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV67 ) @ SV377 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3361]) ).

thf(3562,plain,
    ! [SV68: $i,SV650: $i,SV378: $i] :
      ( ( ( SV378 = SV650 )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV650 ) @ SV68 ) )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV378 ) @ SV68 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3362]) ).

thf(3563,plain,
    ! [SV651: $i,SV380: $i,SV70: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV70 ) @ ( semila751111325l_bool @ SV380 @ SV651 ) ) )
        = $false )
      | ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV70 ) @ SV380 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV70 ) @ SV651 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3364]) ).

thf(3564,plain,
    ! [SV652: $i,SV381: $i,SV71: $i] :
      ( ( ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV71 @ SV381 ) @ SV652 ) )
        = $false )
      | ( ( ( hBOOL @ ( hAPP_list_char_bool @ SV71 @ SV652 ) )
          | ( hBOOL @ ( hAPP_list_char_bool @ SV381 @ SV652 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3365]) ).

thf(3565,plain,
    ! [SV653: $i,SV382: $i,SV72: $i,SV871: $i,SV761: $i] :
      ( ( ! [SY2897: $i,SY2898: $i,SY2899: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV761 ) @ SV871 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2897 ) @ SY2898 ) ) ) @ ( red @ SY2899 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV761 @ SV72 @ SV382 @ SV653 ) ) @ SV871 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2897 @ SV72 @ SV382 @ SV653 ) ) @ SY2898 ) ) ) @ ( red @ SY2899 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3366]) ).

thf(3566,plain,
    ! [SV654: $i,SV383: $i,SV73: $i,SV872: $i,SV762: $i] :
      ( ( ! [SY2900: $i,SY2901: $i,SY2902: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV762 ) @ SV872 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2900 ) @ SY2901 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2902 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV762 @ SV73 @ SV383 @ SV654 ) ) @ SV872 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY2900 @ SV73 @ SV383 @ SV654 ) ) @ SY2901 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2902 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3367]) ).

thf(3567,plain,
    ! [SV873: $i,SV763: $i,SV655: $i,SV384: $i,SV74: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ ( throw_list_char @ SV74 ) @ SV384 @ SV655 ) ) @ SV763 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV74 ) ) @ SV763 ) ) ) @ ( red @ SV873 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3368]) ).

thf(3568,plain,
    ! [SV874: $i,SV764: $i,SV657: $i,SV386: $i,SV76: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV76 ) @ SV386 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV657 ) @ SV764 ) ) ) @ ( red @ SV874 ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV76 ) ) @ SV386 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV657 ) ) @ SV764 ) ) ) @ ( red @ SV874 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3369]) ).

thf(3569,plain,
    ! [SV387: $i,SV77: $i,SV875: $i,SV765: $i,SV658: $i] :
      ( ( ! [SY2903: $i,SY2904: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV658 ) @ SV765 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV875 ) @ SY2903 ) ) ) @ ( red @ SY2904 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV658 @ SV77 @ SV387 ) ) @ SV765 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV875 @ SV77 @ SV387 ) ) @ SY2903 ) ) ) @ ( red @ SY2904 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3370]) ).

thf(3570,plain,
    ! [SV876: $i,SV766: $i,SV659: $i,SV388: $i,SV78: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV78 ) @ SV388 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV659 ) @ SV766 ) ) ) @ ( transi2024712006on_val @ ( red @ SV876 ) ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV78 ) ) @ SV388 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV659 ) ) @ SV766 ) ) ) @ ( transi2024712006on_val @ ( red @ SV876 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3371]) ).

thf(3571,plain,
    ! [SV877: $i,SV767: $i,SV660: $i,SV389: $i,SV79: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV79 ) @ SV389 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV660 ) ) @ SV767 ) ) ) @ ( transi2024712006on_val @ ( red @ SV877 ) ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV79 ) ) @ SV389 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV660 ) ) @ SV767 ) ) ) @ ( transi2024712006on_val @ ( red @ SV877 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3372]) ).

thf(3572,plain,
    ! [SV878: $i,SV770: $i,SV663: $i,SV392: $i,SV82: $i] :
      ( ( ! [SY2905: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( throw_list_char @ SV82 ) @ SV392 @ SV663 @ SV770 ) ) @ SV878 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV82 ) ) @ SV878 ) ) ) @ ( red @ SY2905 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3375]) ).

thf(3573,plain,
    ! [SV393: $i,SV83: $i,SV879: $i,SV771: $i,SV664: $i] :
      ( ( ! [SY2906: $i,SY2907: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV664 ) @ SV771 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV879 ) @ SY2906 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2907 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV664 @ SV83 @ SV393 ) ) @ SV771 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV879 @ SV83 @ SV393 ) ) @ SY2906 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2907 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3376]) ).

thf(3574,plain,
    ! [SV394: $i,SV84: $i,SV880: $i,SV772: $i,SV665: $i] :
      ( ( ! [SY2908: $i,SY2909: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV665 ) @ SV772 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV880 ) @ SY2908 ) ) ) @ ( red @ SY2909 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV665 @ SV84 @ SV394 ) ) @ SV772 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV880 @ SV84 @ SV394 ) ) @ SY2908 ) ) ) @ ( red @ SY2909 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3377]) ).

thf(3575,plain,
    ! [SV666: $i,SV395: $i,SV85: $i,SV881: $i,SV773: $i] :
      ( ( ! [SY2910: $i,SY2911: $i,SY2912: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV773 ) @ SV881 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2910 ) @ SY2911 ) ) ) @ ( red @ SY2912 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV773 @ SV85 @ SV395 @ SV666 ) ) @ SV881 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY2910 @ SV85 @ SV395 @ SV666 ) ) @ SY2911 ) ) ) @ ( red @ SY2912 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3378]) ).

thf(3576,plain,
    ! [SV882: $i,SV774: $i,SV667: $i,SV396: $i,SV86: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ ( throw_list_char @ SV86 ) @ SV396 @ SV667 ) ) @ SV774 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV86 ) ) @ SV774 ) ) ) @ ( red @ SV882 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3379]) ).

thf(3577,plain,
    ! [SV397: $i,SV87: $i,SV883: $i,SV775: $i,SV668: $i] :
      ( ( ! [SY2913: $i,SY2914: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV668 ) @ SV775 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV883 ) @ SY2913 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2914 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV668 @ SV87 @ SV397 ) ) @ SV775 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV883 @ SV87 @ SV397 ) ) @ SY2913 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2914 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3380]) ).

thf(3578,plain,
    ! [SV669: $i,SV398: $i,SV88: $i,SV884: $i,SV776: $i] :
      ( ( ! [SY2915: $i,SY2916: $i,SY2917: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV776 ) @ SV884 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2915 ) @ SY2916 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2917 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV776 @ SV88 @ SV398 @ SV669 ) ) @ SV884 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY2915 @ SV88 @ SV398 @ SV669 ) ) @ SY2916 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2917 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3381]) ).

thf(3579,plain,
    ! [SV89: $i,SV885: $i,SV777: $i,SV670: $i,SV399: $i] :
      ( ( ! [SY2918: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV399 ) @ SV670 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV777 ) @ SV885 ) ) ) @ ( red @ SY2918 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV89 @ SV399 ) ) @ SV670 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV89 @ SV777 ) ) @ SV885 ) ) ) @ ( red @ SY2918 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3382]) ).

thf(3580,plain,
    ! [SV91: $i,SV886: $i,SV779: $i,SV672: $i,SV401: $i] :
      ( ( ! [SY2919: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV401 ) @ SV672 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV779 ) @ SV886 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2919 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV91 @ SV401 ) ) @ SV672 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV91 @ SV779 ) ) @ SV886 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2919 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3384]) ).

thf(3581,plain,
    ! [SV92: $i,SV402: $i] :
      ( ( ( ~ ( hBOOL @ ( hext @ SV402 @ SV92 ) ) )
        = $true )
      | ( ( hBOOL @ ( preallocated @ SV92 ) )
        = $true )
      | ( ( hBOOL @ ( preallocated @ SV402 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3385]) ).

thf(3582,plain,
    ! [SV403: $i,SV93: $i,SV887: $i,SV780: $i,SV673: $i] :
      ( ( ! [SY2920: $i] :
            ( ! [SY2921: $i] :
                ~ ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SV887 @ SY2920 @ SY2921 ) )
            | ~ ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SV887 @ SV93 @ SV403 ) )
            | ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SV887 @ ( seq_list_char @ SY2920 @ SV93 ) @ SV403 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3386]) ).

thf(3583,plain,
    ! [SV888: $i,SV781: $i,SV674: $i,SV404: $i,SV94: $i] :
      ( ( ~ ( hBOOL @ ( wTrt_1 @ SV94 @ SV404 @ SV674 @ SV781 @ SV888 ) )
        | ( hBOOL @ ( wTrt @ SV94 @ SV404 @ SV674 @ SV781 @ SV888 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3387]) ).

thf(3584,plain,
    ! [SV889: $i,SV782: $i,SV675: $i,SV405: $i,SV95: $i] :
      ( ( ~ ( hBOOL @ ( wTrt @ SV95 @ SV405 @ SV675 @ SV782 @ SV889 ) )
        | ( hBOOL @ ( wTrt_1 @ SV95 @ SV405 @ SV675 @ SV782 @ SV889 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3388]) ).

thf(3585,plain,
    ! [SV406: $i,SV96: $i,SV890: $i,SV783: $i,SV676: $i] :
      ( ( ! [SY2922: $i,SY2923: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV676 ) @ SV783 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV890 ) @ SY2922 ) ) ) @ ( red @ SY2923 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV676 @ SV96 @ SV406 ) ) @ SV783 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV890 @ SV96 @ SV406 ) ) @ SY2922 ) ) ) @ ( red @ SY2923 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3389]) ).

thf(3586,plain,
    ! [SV891: $i,SV784: $i,SV677: $i,SV407: $i,SV97: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ ( throw_list_char @ SV97 ) @ SV407 @ SV677 ) ) @ SV784 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV97 ) ) @ SV784 ) ) ) @ ( red @ SV891 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3390]) ).

thf(3587,plain,
    ! [SV408: $i,SV98: $i,SV892: $i,SV785: $i,SV678: $i] :
      ( ( ! [SY2924: $i,SY2925: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV678 ) @ SV785 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV892 ) @ SY2924 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2925 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV678 @ SV98 @ SV408 ) ) @ SV785 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV892 @ SV98 @ SV408 ) ) @ SY2924 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2925 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3391]) ).

thf(3588,plain,
    ! [SV409: $i,SV99: $i,SV893: $i,SV786: $i,SV679: $i] :
      ( ( ! [SY2926: $i,SY2927: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV679 ) @ SV786 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV893 ) @ SY2926 ) ) ) @ ( red @ SY2927 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV679 @ SV99 @ SV409 ) ) @ SV786 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV893 @ SV99 @ SV409 ) ) @ SY2926 ) ) ) @ ( red @ SY2927 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3392]) ).

thf(3589,plain,
    ! [SV894: $i,SV787: $i,SV680: $i,SV410: $i,SV100: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ ( throw_list_char @ SV100 ) @ SV410 @ SV680 ) ) @ SV787 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV100 ) ) @ SV787 ) ) ) @ ( red @ SV894 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3393]) ).

thf(3590,plain,
    ! [SV411: $i,SV101: $i,SV895: $i,SV788: $i,SV681: $i] :
      ( ( ! [SY2928: $i,SY2929: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV681 ) @ SV788 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV895 ) @ SY2928 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2929 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV681 @ SV101 @ SV411 ) ) @ SV788 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV895 @ SV101 @ SV411 ) ) @ SY2928 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2929 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3394]) ).

thf(3591,plain,
    ! [SV102: $i,SV896: $i,SV789: $i,SV682: $i,SV412: $i] :
      ( ( ! [SY2930: $i] :
            ( ~ ( hBOOL @ ( wTrts_1 @ SV412 @ SV682 @ SV789 @ SV896 @ SY2930 ) )
            | ~ ( hBOOL @ ( hext @ SV682 @ SV102 ) )
            | ( hBOOL @ ( wTrts_1 @ SV412 @ SV102 @ SV789 @ SV896 @ SY2930 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3395]) ).

thf(3592,plain,
    ! [SV897: $i,SV790: $i,SV683: $i,SV413: $i,SV103: $i] :
      ( ( ~ ( hBOOL @ ( wTrts @ SV103 @ SV413 @ SV683 @ SV790 @ SV897 ) )
        | ( hBOOL @ ( wTrts_1 @ SV103 @ SV413 @ SV683 @ SV790 @ SV897 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3396]) ).

thf(3593,plain,
    ! [SV898: $i,SV791: $i,SV684: $i,SV414: $i,SV104: $i] :
      ( ( ~ ( hBOOL @ ( wTrts_1 @ SV104 @ SV414 @ SV684 @ SV791 @ SV898 ) )
        | ( hBOOL @ ( wTrts @ SV104 @ SV414 @ SV684 @ SV791 @ SV898 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3397]) ).

thf(3594,plain,
    ! [SV899: $i,SV793: $i,SV687: $i,SV419: $i,SV115: $i] :
      ( ( is_bool @ ( wTrt @ SV115 @ SV419 @ SV687 @ SV793 @ SV899 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3400]) ).

thf(3595,plain,
    ! [SV900: $i,SV794: $i,SV688: $i,SV420: $i,SV116: $i] :
      ( ( is_bool @ ( wTrts @ SV116 @ SV420 @ SV688 @ SV794 @ SV900 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3401]) ).

thf(3596,plain,
    ! [SV901: $i,SV795: $i,SV690: $i,SV424: $i,SV121: $i] :
      ( ( is_bool @ ( wTrt_1 @ SV121 @ SV424 @ SV690 @ SV795 @ SV901 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3402]) ).

thf(3597,plain,
    ! [SV902: $i,SV796: $i,SV691: $i,SV425: $i,SV122: $i] :
      ( ( is_bool @ ( wTrts_1 @ SV122 @ SV425 @ SV691 @ SV796 @ SV902 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3403]) ).

thf(3598,plain,
    ! [SV692: $i,SV544: $i,SV241: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ SV241 @ SV544 )
          = SV692 )
        = $false )
      | ( ( ( fun_up204312361on_val @ SV241 @ SV544 @ SV692 )
          = SV241 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3405]) ).

thf(3599,plain,
    ! [SV545: $i,SV242: $i,SV797: $i,SV693: $i] :
      ( ( ( SV693 = SV797 )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV242 @ SV797 @ SV545 ) @ SV693 )
          = ( hAPP_P2094403585on_val @ SV242 @ SV693 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3406]) ).

thf(3600,plain,
    ! [SV694: $i,SV546: $i,SV243: $i,SV903: $i,SV798: $i] :
      ( ( ( SV798 = SV903 )
        | ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV243 @ SV798 @ SV546 ) @ SV903 @ SV694 )
          = ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV243 @ SV903 @ SV694 ) @ SV798 @ SV546 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3407]) ).

thf(3601,plain,
    ! [SV904: $i,SV800: $i,SV698: $i,SV550: $i,SV247: $i] :
      ( ( ( ( block_list_char @ SV247 @ SV550 @ SV698 )
         != ( lAss_list_char @ SV800 @ SV904 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3409]) ).

thf(3602,plain,
    ! [SV905: $i,SV801: $i,SV699: $i,SV551: $i,SV248: $i] :
      ( ( ( ( block_list_char @ SV248 @ SV551 @ SV699 )
         != ( seq_list_char @ SV801 @ SV905 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3410]) ).

thf(3603,plain,
    ! [SV906: $i,SV802: $i,SV700: $i,SV552: $i,SV249: $i] :
      ( ( ( ( lAss_list_char @ SV249 @ SV552 )
         != ( block_list_char @ SV700 @ SV802 @ SV906 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3411]) ).

thf(3604,plain,
    ! [SV803: $i,SV701: $i,SV553: $i,SV250: $i] :
      ( ( ( seq_list_char @ SV250 @ SV553 )
        = ( lAss_list_char @ SV701 @ SV803 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3412]) ).

thf(3605,plain,
    ! [SV804: $i,SV702: $i,SV554: $i,SV251: $i] :
      ( ( ( lAss_list_char @ SV251 @ SV554 )
        = ( seq_list_char @ SV702 @ SV804 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3413]) ).

thf(3606,plain,
    ! [SV907: $i,SV805: $i,SV703: $i,SV555: $i,SV252: $i] :
      ( ( ( ( seq_list_char @ SV252 @ SV555 )
         != ( block_list_char @ SV703 @ SV805 @ SV907 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3414]) ).

thf(3607,plain,
    ! [SV908: $i,SV806: $i,SV704: $i,SV556: $i,SV253: $i] :
      ( ( ! [SY2931: $i] :
            ( ! [SY2932: $i] :
                ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV253 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV556 ) @ SV704 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV806 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV908 ) @ SY2931 ) ) ) ) @ ( red @ SY2932 ) ) )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ ( dom_list_char_val @ SV704 ) ) @ ( dom_list_char_val @ SY2931 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3415]) ).

thf(3608,plain,
    ! [SV254: $i,SV705: $i,SV557: $i] :
      ( ( ( hBOOL @ ( hAPP_list_char_bool @ SV557 @ SV705 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV557 ) @ SV254 ) )
          | ( hBOOL @ ( hAPP_list_char_bool @ SV254 @ SV705 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3416]) ).

thf(3609,plain,
    ! [SV255: $i,SV706: $i,SV558: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV558 ) @ SV706 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SV558 @ SV255 ) )
          | ( hBOOL @ ( hAPP_list_char_bool @ SV706 @ SV255 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3417]) ).

thf(3610,plain,
    ! [SV258: $i,SV708: $i,SV560: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV560 ) @ SV708 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SV560 @ SV258 ) ) @ ( hAPP_list_char_bool @ SV708 @ SV258 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3419]) ).

thf(3611,plain,
    ! [SV259: $i,SV709: $i,SV561: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV561 ) @ SV709 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SV561 @ SV259 ) ) @ ( hAPP_list_char_bool @ SV709 @ SV259 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3420]) ).

thf(3612,plain,
    ! [SV567: $i,SV268: $i,SV909: $i,SV808: $i,SV712: $i] :
      ( ( ! [SY2933: $i,SY2934: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV712 ) @ SV808 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV909 ) ) @ SY2933 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2934 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV712 @ SV268 @ SV567 ) ) @ SV808 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV909 ) ) @ SY2933 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2934 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3423]) ).

thf(3613,plain,
    ! [SV269: $i,SV910: $i,SV809: $i,SV713: $i,SV568: $i] :
      ( ( ! [SY2935: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV568 ) @ SV713 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV809 ) ) @ SV910 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2935 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV269 @ SV568 ) ) @ SV713 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV809 ) ) @ SV910 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2935 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3424]) ).

thf(3614,plain,
    ! [SV270: $i,SV911: $i,SV810: $i,SV714: $i,SV569: $i] :
      ( ( ! [SY2936: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV569 ) @ SV714 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV810 ) ) @ SV911 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2936 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV569 @ SV270 ) ) @ SV714 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV810 ) ) @ SV911 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2936 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3425]) ).

thf(3615,plain,
    ! [SV715: $i,SV570: $i,SV271: $i,SV912: $i,SV811: $i] :
      ( ( ! [SY2937: $i,SY2938: $i,SY2939: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV811 ) @ SV912 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2937 ) ) @ SY2938 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2939 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV811 @ SV271 @ SV570 @ SV715 ) ) @ SV912 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY2937 ) ) @ SY2938 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2939 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3426]) ).

thf(3616,plain,
    ! [SV272: $i,SV913: $i,SV812: $i,SV716: $i,SV571: $i] :
      ( ( ! [SY2940: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SV571 @ SV716 @ SV812 @ SV913 @ SY2940 ) )
            | ~ ( hBOOL @ ( is_refT @ SY2940 ) )
            | ( hBOOL @ ( wTrt_1 @ SV571 @ SV716 @ SV812 @ ( throw_list_char @ SV913 ) @ SV272 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3427]) ).

thf(3617,plain,
    ! [SV573: $i,SV274: $i,SV914: $i,SV813: $i,SV718: $i] :
      ( ( ! [SY2941: $i,SY2942: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV718 ) @ SV813 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV914 ) ) @ SY2941 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2942 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV718 @ SV274 @ SV573 ) ) @ SV813 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV914 ) ) @ SY2941 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2942 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3428]) ).

thf(3618,plain,
    ! [SV276: $i,SV915: $i,SV814: $i,SV719: $i,SV575: $i] :
      ( ( ! [SY2943: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV575 ) @ SV719 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV814 ) ) @ SV915 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2943 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV276 @ SV575 ) ) @ SV719 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV814 ) ) @ SV915 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2943 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3429]) ).

thf(3619,plain,
    ! [SV277: $i,SV916: $i,SV815: $i,SV720: $i,SV576: $i] :
      ( ( ! [SY2944: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV576 @ SV720 @ SV815 @ SV916 @ SY2944 ) )
            | ~ ( hBOOL @ ( is_refT @ SY2944 ) )
            | ( hBOOL @ ( wTrt @ SV576 @ SV720 @ SV815 @ ( throw_list_char @ SV916 ) @ SV277 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3430]) ).

thf(3620,plain,
    ! [SV284: $i,SV917: $i,SV816: $i,SV721: $i,SV579: $i] :
      ( ( ! [SY2945: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV579 ) @ SV721 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV816 ) ) @ SV917 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2945 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( while_list_char @ SV579 @ SV284 ) ) @ SV721 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV816 ) ) @ SV917 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2945 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3431]) ).

thf(3621,plain,
    ! [SV581: $i,SV286: $i,SV918: $i,SV817: $i,SV723: $i] :
      ( ( ! [SY2946: $i,SY2947: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV723 ) @ SV817 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV918 ) ) @ SY2946 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2947 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV723 @ SV286 @ SV581 ) ) @ SV817 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV918 ) ) @ SY2946 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2947 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3432]) ).

thf(3622,plain,
    ! [SV724: $i,SV582: $i,SV287: $i,SV919: $i,SV818: $i] :
      ( ( ! [SY2948: $i,SY2949: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SV818 @ SV919 @ SY2948 @ SY2949 @ nt ) )
            | ( hBOOL @ ( wTrt_1 @ SV818 @ SV919 @ SY2948 @ ( fAcc_list_char @ SY2949 @ SV287 @ SV582 ) @ SV724 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3433]) ).

thf(3623,plain,
    ! [SV725: $i,SV583: $i,SV288: $i,SV920: $i,SV819: $i] :
      ( ( ! [SY2950: $i,SY2951: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV819 @ SV920 @ SY2950 @ SY2951 @ nt ) )
            | ( hBOOL @ ( wTrt @ SV819 @ SV920 @ SY2950 @ ( fAcc_list_char @ SY2951 @ SV288 @ SV583 ) @ SV725 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3434]) ).

thf(3624,plain,
    ! [SV584: $i,SV289: $i,SV921: $i,SV820: $i,SV726: $i] :
      ( ( ! [SY2952: $i,SY2953: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV726 ) @ SV820 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV921 ) ) @ SY2952 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2953 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV726 @ SV289 @ SV584 ) ) @ SV820 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV921 ) ) @ SY2952 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2953 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3435]) ).

thf(3625,plain,
    ! [SV585: $i,SV290: $i,SV821: $i,SV727: $i,SV922: $i] :
      ( ( ! [SY2954: $i,SY2955: $i,SY2956: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SV922 @ SY2954 @ SY2955 @ SY2956 @ nt ) )
            | ~ ( hBOOL @ ( wTrts_1 @ SV922 @ SY2954 @ SY2955 @ SV727 @ SV821 ) )
            | ( hBOOL @ ( wTrt_1 @ SV922 @ SY2954 @ SY2955 @ ( call_list_char @ SY2956 @ SV290 @ SV727 ) @ SV585 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3436]) ).

thf(3626,plain,
    ! [SV586: $i,SV291: $i,SV822: $i,SV728: $i,SV923: $i] :
      ( ( ! [SY2957: $i,SY2958: $i,SY2959: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV923 @ SY2957 @ SY2958 @ SY2959 @ nt ) )
            | ~ ( hBOOL @ ( wTrts @ SV923 @ SY2957 @ SY2958 @ SV728 @ SV822 ) )
            | ( hBOOL @ ( wTrt @ SV923 @ SY2957 @ SY2958 @ ( call_list_char @ SY2959 @ SV291 @ SV728 ) @ SV586 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3437]) ).

thf(3627,plain,
    ! [SV294: $i,SV823: $i,SV729: $i,SV587: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) @ SV823 ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3440]) ).

thf(3628,plain,
    ! [SV924: $i,SV824: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV824 ) @ SV924 ) )
        | ( SV924 != SV824 )
        | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV924 ) @ SV824 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3441]) ).

thf(3629,plain,
    ! [SV925: $i,SV825: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV825 ) @ SV925 ) )
        | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV925 ) @ SV825 ) )
        | ( SV925 = SV825 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3442]) ).

thf(3630,plain,
    ! [SV826: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV826 @ ( sK69_X1 @ SV826 ) ) ) )
        = $true )
      | ( ( ! [SY2839: $i,SY2840: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV826 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2839 ) @ SY2840 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3443]) ).

thf(3631,plain,
    ! [SV827: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV827 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK67_A_1 @ SV827 ) ) @ ( sK68_SY1167 @ SV827 ) ) ) ) )
        = $true )
      | ( ( ! [SY2841: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV827 @ SY2841 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3444]) ).

thf(3632,plain,
    ! [SV588: $i,SV295: $i] :
      ( ( ! [SY2301: $i,SY2302: $i] :
            ( ( SY2302 != SY2301 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV295 @ SY2301 @ SV588 ) @ SY2302 )
              = SV588 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3445]) ).

thf(3633,plain,
    ! [SV588: $i,SV295: $i] :
      ( ( ! [SY2303: $i,SY2304: $i] :
            ( ( SY2304 = SY2303 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV295 @ SY2303 @ SV588 ) @ SY2304 )
              = ( hAPP_l207779698on_val @ SV295 @ SY2304 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3446]) ).

thf(3634,plain,
    ! [SV926: $i,SV828: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV828 ) @ SV926 ) )
        | ( hBOOL @ ( hAPP_P282169671l_bool @ SV926 @ SV828 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3447]) ).

thf(3635,plain,
    ! [SV829: $i,SV927: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV927 @ SV829 ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV829 ) @ SV927 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3448]) ).

thf(3636,plain,
    ! [SV928: $i,SV830: $i,SV730: $i,SV589: $i,SV296: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) ) ) @ ( transi2024712006on_val @ SV928 ) ) )
        | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) )
        | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) @ ( sK21_SY1142 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) ) ) @ SV928 ) )
            | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) @ ( sK21_SY1142 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) ) ) @ ( transi2024712006on_val @ SV928 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3449]) ).

thf(3637,plain,
    ! [SV831: $i,SV731: $i,SV590: $i,SV297: $i] :
      ( ( ( ! [SY2845: $i] :
              ~ ( hBOOL @ ( wTrt_1 @ SV297 @ SV590 @ SV731 @ ( throw_list_char @ SV831 ) @ SY2845 ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( wTrt_1 @ SV297 @ SV590 @ SV731 @ SV831 @ ( sK1_T_r_1 @ SV831 @ SV731 @ SV590 @ SV297 ) ) )
              | ~ ( hBOOL @ ( is_refT @ ( sK1_T_r_1 @ SV831 @ SV731 @ SV590 @ SV297 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3450]) ).

thf(3638,plain,
    ! [SV832: $i] :
      ( ( ( ! [SY2846: $i] :
              ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV832 @ SY2846 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV832 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK33_A_1 @ SV832 ) ) @ ( sK34_SY1145 @ SV832 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3451]) ).

thf(3639,plain,
    ! [SV833: $i] :
      ( ( ( ! [SY2847: $i,SY2848: $i] :
              ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV833 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2847 ) @ SY2848 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV833 @ ( sK32_X1 @ SV833 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3452]) ).

thf(3640,plain,
    ! [SV929: $i,SV298: $i] :
      ( ( ! [SY2960: $i] :
            ( ~ ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV298 @ SV929 ) @ SY2960 ) )
            | ( hBOOL @ ( d_list_char @ SV929 @ SY2960 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3453]) ).

thf(3641,plain,
    ! [SV298: $i,SV930: $i] :
      ( ( ! [SY2961: $i] :
            ( ~ ( hBOOL @ ( d_list_char @ SV930 @ SY2961 ) )
            | ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV298 @ SV930 ) @ SY2961 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3454]) ).

thf(3642,plain,
    ! [SV732: $i,SV591: $i,SV299: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ! [SY2655: $i] :
                          ( ! [SY2656: $i] :
                              ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2655 )
                             != ( hAPP_val_option_val @ some_val @ SY2656 ) )
                          | ( SY2655 = SV591 )
                          | ( SY2655 != SV591 ) )
                    | ~ ! [SY2657: $i,SY2658: $i] :
                          ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2657 )
                           != ( hAPP_val_option_val @ some_val @ SY2658 ) )
                          | ( SY2657 = SV591 )
                          | ( ( hAPP_P2094403585on_val @ SV299 @ SY2657 )
                            = ( hAPP_val_option_val @ some_val @ SY2658 ) ) ) )
              | ~ ~ ( ~ ! [SY2659: $i,SY2660: $i] :
                          ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2659 )
                           != ( hAPP_val_option_val @ some_val @ SY2660 ) )
                          | ( SV732 = SY2660 )
                          | ( SY2659 != SV591 ) )
                    | ~ ! [SY2661: $i,SY2662: $i] :
                          ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2661 )
                           != ( hAPP_val_option_val @ some_val @ SY2662 ) )
                          | ( SV732 = SY2662 )
                          | ( ( hAPP_P2094403585on_val @ SV299 @ SY2661 )
                            = ( hAPP_val_option_val @ some_val @ SY2662 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3455]) ).

thf(3643,plain,
    ! [SV299: $i,SV732: $i,SV591: $i] :
      ( ( ~ ~ ( ~ ! [SY2663: $i,SY2664: $i] :
                    ( ( SY2663 != SV591 )
                    | ( SV732 != SY2664 )
                    | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2663 )
                      = ( hAPP_val_option_val @ some_val @ SY2664 ) ) )
              | ~ ! [SY2665: $i,SY2666: $i] :
                    ( ( SY2665 = SV591 )
                    | ( ( hAPP_P2094403585on_val @ SV299 @ SY2665 )
                     != ( hAPP_val_option_val @ some_val @ SY2666 ) )
                    | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2665 )
                      = ( hAPP_val_option_val @ some_val @ SY2666 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3455]) ).

thf(3644,plain,
    ! [SV300: $i,SV931: $i] :
      ( ( ! [SY2962: $i] :
            ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SV931 @ SY2962 ) )
            | ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV300 @ SV931 ) @ SY2962 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3456]) ).

thf(3645,plain,
    ! [SV932: $i,SV300: $i] :
      ( ( ! [SY2963: $i] :
            ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SV300 @ SY2963 ) )
            | ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV300 @ SV932 ) @ SY2963 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3457]) ).

thf(3646,plain,
    ! [SV301: $i,SV592: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( sK22_X_1 @ SV592 @ SV301 ) ) @ SV592 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV592 ) @ SV301 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3458]) ).

thf(3647,plain,
    ! [SV301: $i,SV592: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( sK22_X_1 @ SV592 @ SV301 ) ) @ SV301 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV592 ) @ SV301 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3458]) ).

thf(3648,plain,
    ! [SV933: $i,SV834: $i] :
      ( ( ( SV834 != SV933 )
        | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV834 ) @ SV933 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3459]) ).

thf(3649,plain,
    ! [SV934: $i,SV835: $i] :
      ( ( ( SV835 != SV934 )
        | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV934 ) @ SV835 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3460]) ).

thf(3650,plain,
    ! [SV733: $i,SV593: $i,SV302: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV302 ) @ SV593 ) ) @ ( transi2024712006on_val @ SV733 ) ) )
        = $false )
      | ( ( ( SV302 = SV593 )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV302 ) @ ( sK15_Y_1 @ SV733 @ SV593 @ SV302 ) ) ) @ SV733 ) )
              | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK15_Y_1 @ SV733 @ SV593 @ SV302 ) ) @ SV593 ) ) @ ( transi2024712006on_val @ SV733 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3461]) ).

thf(3651,plain,
    ! [SV836: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV836 @ ( sK63_X1 @ SV836 ) ) ) )
        = $true )
      | ( ( ! [SY2851: $i,SY2852: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV836 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2851 ) @ SY2852 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3462]) ).

thf(3652,plain,
    ! [SV837: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV837 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK61_A_1 @ SV837 ) ) @ ( sK62_SY1165 @ SV837 ) ) ) ) )
        = $true )
      | ( ( ! [SY2853: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV837 @ SY2853 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3463]) ).

thf(3653,plain,
    ! [SV594: $i,SV303: $i] :
      ( ( ! [SY2325: $i,SY2326: $i] :
            ( ( SV303 != SY2325 )
            | ( SV594 != SY2326 )
            | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
              = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2325 ) @ SY2326 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3464]) ).

thf(3654,plain,
    ! [SV594: $i,SV303: $i] :
      ( ( ~ ( ~ ! [SY2327: $i] :
                  ( ! [SY2328: $i] :
                      ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
                     != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2327 ) @ SY2328 ) )
                  | ( SV303 = SY2327 ) )
            | ~ ! [SY2329: $i,SY2330: $i] :
                  ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
                   != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2329 ) @ SY2330 ) )
                  | ( SV594 = SY2330 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3465]) ).

thf(3655,plain,
    ! [SV595: $i,SV304: $i] :
      ( ( ! [SY2331: $i,SY2332: $i] :
            ( ( SV304 != SY2331 )
            | ( SV595 != SY2332 )
            | ( ( lAss_list_char @ SV304 @ SV595 )
              = ( lAss_list_char @ SY2331 @ SY2332 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3466]) ).

thf(3656,plain,
    ! [SV595: $i,SV304: $i] :
      ( ( ~ ( ~ ! [SY2333: $i] :
                  ( ! [SY2334: $i] :
                      ( ( lAss_list_char @ SV304 @ SV595 )
                     != ( lAss_list_char @ SY2333 @ SY2334 ) )
                  | ( SV304 = SY2333 ) )
            | ~ ! [SY2335: $i,SY2336: $i] :
                  ( ( ( lAss_list_char @ SV304 @ SV595 )
                   != ( lAss_list_char @ SY2335 @ SY2336 ) )
                  | ( SV595 = SY2336 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3467]) ).

thf(3657,plain,
    ! [SV935: $i,SV838: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV838 ) @ SV935 ) )
        | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV935 ) @ SV838 ) )
        | ( SV838 = SV935 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3468]) ).

thf(3658,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3469]) ).

thf(3659,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3469]) ).

thf(3660,plain,
    ! [SV734: $i,SV596: $i,SV305: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV305 ) @ SV596 ) ) @ ( transi2024712006on_val @ SV734 ) ) )
        = $false )
      | ( ( ( SV305 = SV596 )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV305 ) @ ( sK16_Y_1 @ SV734 @ SV596 @ SV305 ) ) ) @ ( transi2024712006on_val @ SV734 ) ) )
              | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_Y_1 @ SV734 @ SV596 @ SV305 ) ) @ SV596 ) ) @ SV734 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3470]) ).

thf(3661,plain,
    ! [SV306: $i,SV936: $i,SV839: $i,SV735: $i,SV597: $i] :
      ( ( ! [SY2964: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SY2964 ) ) )
            | ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK8_A_1 @ SY2964 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SY2964 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SY2964 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SY2964 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) @ SY2964 ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SY2964 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SY2964 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SY2964 ) ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK10_SY1137 @ SY2964 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SY2964 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK8_A_1 @ SY2964 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SY2964 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3471]) ).

thf(3662,plain,
    ! [SV598: $i,SV307: $i] :
      ( ( ! [SY2342: $i,SY2343: $i] :
            ( ( SV307 != SY2342 )
            | ( SV598 != SY2343 )
            | ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
              = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2342 ) @ SY2343 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3472]) ).

thf(3663,plain,
    ! [SV598: $i,SV307: $i] :
      ( ( ~ ( ~ ! [SY2344: $i] :
                  ( ! [SY2345: $i] :
                      ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
                     != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2344 ) @ SY2345 ) )
                  | ( SV307 = SY2344 ) )
            | ~ ! [SY2346: $i,SY2347: $i] :
                  ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
                   != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2346 ) @ SY2347 ) )
                  | ( SV598 = SY2347 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3473]) ).

thf(3664,plain,
    ! [SV599: $i,SV308: $i] :
      ( ( ! [SY2348: $i,SY2349: $i] :
            ( ( SV308 != SY2348 )
            | ( SV599 != SY2349 )
            | ( ( seq_list_char @ SV308 @ SV599 )
              = ( seq_list_char @ SY2348 @ SY2349 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3474]) ).

thf(3665,plain,
    ! [SV599: $i,SV308: $i] :
      ( ( ~ ( ~ ! [SY2350: $i] :
                  ( ! [SY2351: $i] :
                      ( ( seq_list_char @ SV308 @ SV599 )
                     != ( seq_list_char @ SY2350 @ SY2351 ) )
                  | ( SV308 = SY2350 ) )
            | ~ ! [SY2352: $i,SY2353: $i] :
                  ( ( ( seq_list_char @ SV308 @ SV599 )
                   != ( seq_list_char @ SY2352 @ SY2353 ) )
                  | ( SV599 = SY2353 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3475]) ).

thf(3666,plain,
    ! [SV736: $i,SV600: $i,SV309: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ! [SY2670: $i] :
                          ( ! [SY2671: $i] :
                              ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2670 )
                             != ( hAPP_val_option_val @ some_val @ SY2671 ) )
                          | ( SY2670 = SV600 )
                          | ( SY2670 != SV600 ) )
                    | ~ ! [SY2672: $i,SY2673: $i] :
                          ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2672 )
                           != ( hAPP_val_option_val @ some_val @ SY2673 ) )
                          | ( SY2672 = SV600 )
                          | ( ( hAPP_l207779698on_val @ SV309 @ SY2672 )
                            = ( hAPP_val_option_val @ some_val @ SY2673 ) ) ) )
              | ~ ~ ( ~ ! [SY2674: $i,SY2675: $i] :
                          ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2674 )
                           != ( hAPP_val_option_val @ some_val @ SY2675 ) )
                          | ( SV736 = SY2675 )
                          | ( SY2674 != SV600 ) )
                    | ~ ! [SY2676: $i,SY2677: $i] :
                          ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2676 )
                           != ( hAPP_val_option_val @ some_val @ SY2677 ) )
                          | ( SV736 = SY2677 )
                          | ( ( hAPP_l207779698on_val @ SV309 @ SY2676 )
                            = ( hAPP_val_option_val @ some_val @ SY2677 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3476]) ).

thf(3667,plain,
    ! [SV309: $i,SV736: $i,SV600: $i] :
      ( ( ~ ~ ( ~ ! [SY2678: $i,SY2679: $i] :
                    ( ( SY2678 != SV600 )
                    | ( SV736 != SY2679 )
                    | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2678 )
                      = ( hAPP_val_option_val @ some_val @ SY2679 ) ) )
              | ~ ! [SY2680: $i,SY2681: $i] :
                    ( ( SY2680 = SV600 )
                    | ( ( hAPP_l207779698on_val @ SV309 @ SY2680 )
                     != ( hAPP_val_option_val @ some_val @ SY2681 ) )
                    | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2680 )
                      = ( hAPP_val_option_val @ some_val @ SY2681 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3476]) ).

thf(3668,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( hBOOL @ SX0 )
            | ~ ( hBOOL @ SX1 )
            | ( ( bool @ SX0 )
              = ( bool @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3477]) ).

thf(3669,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( hBOOL @ SX0 )
            | ( hBOOL @ SX1 )
            | ( ( bool @ SX0 )
              = ( bool @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3477]) ).

thf(3670,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( ( bool @ SX0 )
             != ( bool @ SX1 ) )
            | ~ ( hBOOL @ SX0 )
            | ( hBOOL @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3478]) ).

thf(3671,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( ( bool @ SX0 )
             != ( bool @ SX1 ) )
            | ~ ( hBOOL @ SX1 )
            | ( hBOOL @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3478]) ).

thf(3672,plain,
    ! [SV601: $i,SV310: $i] :
      ( ( ! [SY2367: $i] :
            ( ! [SY2368: $i] :
                ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV310 ) @ SV601 )
               != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2367 ) @ SY2368 ) )
            | ( SV310 = SY2367 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3479]) ).

thf(3673,plain,
    ! [SV601: $i,SV310: $i] :
      ( ( ! [SY2369: $i,SY2370: $i] :
            ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV310 ) @ SV601 )
             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2369 ) @ SY2370 ) )
            | ( SV601 = SY2370 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3480]) ).

thf(3674,plain,
    ! [SV602: $i,SV311: $i] :
      ( ( ! [SY2371: $i,SY2372: $i] :
            ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV311 @ SV602 ) @ SY2371 )
             != ( hAPP_val_option_val @ some_val @ SY2372 ) )
            | ( ( hAPP_l207779698on_val @ SV602 @ SY2371 )
              = none_val )
            | ( ( hAPP_l207779698on_val @ SV602 @ SY2371 )
              = ( hAPP_val_option_val @ some_val @ SY2372 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3481]) ).

thf(3675,plain,
    ! [SV602: $i,SV311: $i] :
      ( ( ! [SY2373: $i,SY2374: $i] :
            ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV311 @ SV602 ) @ SY2373 )
             != ( hAPP_val_option_val @ some_val @ SY2374 ) )
            | ( ( hAPP_l207779698on_val @ SV311 @ SY2373 )
              = ( hAPP_val_option_val @ some_val @ SY2374 ) )
            | ( ( hAPP_l207779698on_val @ SV602 @ SY2373 )
              = ( hAPP_val_option_val @ some_val @ SY2374 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3482]) ).

thf(3676,plain,
    ! [SV603: $i,SV312: $i] :
      ( ( ! [SY2375: $i,SY2376: $i] :
            ( ( SY2376 != SY2375 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV312 @ SY2375 @ SV603 ) @ SY2376 )
              = SV603 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3483]) ).

thf(3677,plain,
    ! [SV603: $i,SV312: $i] :
      ( ( ! [SY2377: $i,SY2378: $i] :
            ( ( SY2378 = SY2377 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV312 @ SY2377 @ SV603 ) @ SY2378 )
              = ( hAPP_P2094403585on_val @ SV312 @ SY2378 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3484]) ).

thf(3678,plain,
    ! [SV604: $i,SV313: $i] :
      ( ( ! [SY2379: $i] :
            ( ! [SY2380: $i] :
                ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV604 )
               != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2379 ) @ SY2380 ) )
            | ( SV313 = SY2379 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3485]) ).

thf(3679,plain,
    ! [SV604: $i,SV313: $i] :
      ( ( ! [SY2381: $i,SY2382: $i] :
            ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV604 )
             != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2381 ) @ SY2382 ) )
            | ( SV604 = SY2382 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3486]) ).

thf(3680,plain,
    ! [SV840: $i] :
      ( ( ( SV840
          = ( hAPP_val_option_val @ some_val @ ( sK25_Y_1 @ SV840 ) ) )
        = $true )
      | ( ( SV840 = none_val )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3487]) ).

thf(3681,plain,
    ! [SV841: $i] :
      ( ( ( ( SV841 != none_val ) )
        = $true )
      | ( ( ! [SY2857: $i] :
              ( SV841
             != ( hAPP_val_option_val @ some_val @ SY2857 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3488]) ).

thf(3682,plain,
    ! [SV605: $i,SV314: $i] :
      ( ( ! [SY2383: $i,SY2384: $i] :
            ( ( SY2383 != SY2384 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV314 @ SY2384 @ SV605 ) @ SY2383 )
              = SV605 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3489]) ).

thf(3683,plain,
    ! [SV605: $i,SV314: $i] :
      ( ( ! [SY2385: $i,SY2386: $i] :
            ( ( SY2385 = SY2386 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV314 @ SY2386 @ SV605 ) @ SY2385 )
              = ( hAPP_P2094403585on_val @ SV314 @ SY2385 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3490]) ).

thf(3684,plain,
    ! [SV842: $i,SV937: $i] :
      ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV937 ) )
                | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV842 ) ) )
            | ~ ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV937 ) )
                | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV842 ) ) ) )
        | ( SV937 = SV842 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3491]) ).

thf(3685,plain,
    ! [SV843: $i,SV938: $i] :
      ( ( ( SV938 != SV843 )
        | ~ ( ~ ! [SY2965: $i,SY2966: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2965 ) @ SY2966 ) ) @ SV938 ) )
                  | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2965 ) @ SY2966 ) ) @ SV843 ) ) )
            | ~ ! [SY2967: $i,SY2968: $i] :
                  ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2967 ) @ SY2968 ) ) @ SV843 ) )
                  | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2967 ) @ SY2968 ) ) @ SV938 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3492]) ).

thf(3686,plain,
    ! [SV939: $i,SV315: $i] :
      ( ( ! [SY2969: $i] :
            ( ( ( fun_up204312361on_val @ SV315 @ SV939 @ SY2969 )
             != SV315 )
            | ( ( hAPP_P2094403585on_val @ SV315 @ SV939 )
              = SY2969 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3493]) ).

thf(3687,plain,
    ! [SV940: $i,SV315: $i] :
      ( ( ! [SY2970: $i] :
            ( ( ( hAPP_P2094403585on_val @ SV315 @ SV940 )
             != SY2970 )
            | ( ( fun_up204312361on_val @ SV315 @ SV940 @ SY2970 )
              = SV315 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3494]) ).

thf(3688,plain,
    ! [SV316: $i,SV941: $i] :
      ( ( ! [SY2971: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV941 ) @ SY2971 ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV941 ) @ ( semila751111325l_bool @ SV316 @ SY2971 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3495]) ).

thf(3689,plain,
    ! [SV316: $i,SV942: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV942 ) @ SV316 ) )
        | ! [SY2972: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV942 ) @ ( semila751111325l_bool @ SV316 @ SY2972 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3496]) ).

thf(3690,plain,
    ! [SV943: $i,SV844: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV844 ) @ SV943 ) )
        | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV943 ) @ SV844 ) )
        | ( SV844 = SV943 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3497]) ).

thf(3691,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3498]) ).

thf(3692,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[3498]) ).

thf(3693,plain,
    ! [SV845: $i] :
      ( ( ( SV845 = none_val )
        = $true )
      | ( ( SV845
          = ( hAPP_val_option_val @ some_val @ ( sK24_Y_1 @ SV845 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3499]) ).

thf(3694,plain,
    ! [SV846: $i] :
      ( ( ( ! [SY2865: $i] :
              ( SV846
             != ( hAPP_val_option_val @ some_val @ SY2865 ) ) )
        = $true )
      | ( ( ( SV846 != none_val ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3500]) ).

thf(3695,plain,
    ! [SV606: $i,SV317: $i] :
      ( ( ! [SY2387: $i,SY2388: $i] :
            ( ( SY2387 != SY2388 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV317 @ SY2388 @ SV606 ) @ SY2387 )
              = SV606 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3501]) ).

thf(3696,plain,
    ! [SV606: $i,SV317: $i] :
      ( ( ! [SY2389: $i,SY2390: $i] :
            ( ( SY2389 = SY2390 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV317 @ SY2390 @ SV606 ) @ SY2389 )
              = ( hAPP_l207779698on_val @ SV317 @ SY2389 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3502]) ).

thf(3697,plain,
    ! [SV318: $i,SV944: $i] :
      ( ( ! [SY2973: $i] :
            ( ( ( hAPP_l207779698on_val @ SV944 @ SY2973 )
             != none_val )
            | ( ( hAPP_l207779698on_val @ SV318 @ SY2973 )
             != none_val )
            | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SV944 ) @ SY2973 )
              = none_val ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3503]) ).

thf(3698,plain,
    ! [SV318: $i] :
      ( ( ~ ! [SY1910: $i,SY1911: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SY1910 ) @ SY1911 )
               != none_val )
              | ( ( hAPP_l207779698on_val @ SY1910 @ SY1911 )
                = none_val ) )
        | ~ ! [SY1912: $i,SY1913: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SY1912 ) @ SY1913 )
               != none_val )
              | ( ( hAPP_l207779698on_val @ SV318 @ SY1913 )
                = none_val ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3504]) ).

thf(3699,plain,
    ! [SV319: $i,SV847: $i,SV737: $i,SV607: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) @ ( transi2024712006on_val @ SV847 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) @ SV847 ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3505]) ).

thf(3700,plain,
    ! [SV945: $i,SV320: $i] :
      ( ( ! [SY2974: $i] :
            ( ( ( fun_up1149430426on_val @ SV320 @ SV945 @ SY2974 )
             != SV320 )
            | ( ( hAPP_l207779698on_val @ SV320 @ SV945 )
              = SY2974 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3506]) ).

thf(3701,plain,
    ! [SV946: $i,SV320: $i] :
      ( ( ! [SY2975: $i] :
            ( ( ( hAPP_l207779698on_val @ SV320 @ SV946 )
             != SY2975 )
            | ( ( fun_up1149430426on_val @ SV320 @ SV946 @ SY2975 )
              = SV320 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3507]) ).

thf(3702,plain,
    ! [SV848: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV848 @ ( sK66_X1 @ SV848 ) ) ) )
        = $true )
      | ( ( ! [SY2866: $i,SY2867: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV848 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2866 ) @ SY2867 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3508]) ).

thf(3703,plain,
    ! [SV849: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV849 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK64_A_1 @ SV849 ) ) @ ( sK65_SY1166 @ SV849 ) ) ) ) )
        = $true )
      | ( ( ! [SY2868: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV849 @ SY2868 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3509]) ).

thf(3704,plain,
    ! [SV608: $i,SV321: $i] :
      ( ( ! [SY2393: $i] :
            ( ! [SY2394: $i] :
                ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV321 ) @ SV608 )
               != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2393 ) @ SY2394 ) )
            | ( SV321 = SY2393 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3510]) ).

thf(3705,plain,
    ! [SV608: $i,SV321: $i] :
      ( ( ! [SY2395: $i,SY2396: $i] :
            ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV321 ) @ SV608 )
             != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2395 ) @ SY2396 ) )
            | ( SV608 = SY2396 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3511]) ).

thf(3706,plain,
    ! [SV322: $i,SV947: $i,SV850: $i,SV738: $i,SV609: $i] :
      ( ( ! [SY2976: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SY2976 ) ) )
            | ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
            | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SY2976 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SY2976 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ ( transi2024712006on_val @ SY2976 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SY2976 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SY2976 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY1131 @ SY2976 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SY2976 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ SY2976 ) )
                      | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK4_A_1 @ SY2976 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SY2976 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) )
                            | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK6_SY1131 @ SY2976 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SY2976 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) ) )
            | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3512]) ).

thf(3707,plain,
    ! [SV851: $i] :
      ( ( ( ! [SY2871: $i] :
              ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV851 @ SY2871 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV851 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK30_A_1 @ SV851 ) ) @ ( sK31_SY1144 @ SV851 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3513]) ).

thf(3708,plain,
    ! [SV852: $i] :
      ( ( ( ! [SY2872: $i,SY2873: $i] :
              ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV852 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2872 ) @ SY2873 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV852 @ ( sK29_X1 @ SV852 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3514]) ).

thf(3709,plain,
    ! [SV610: $i,SV323: $i] :
      ( ( ! [SY2401: $i,SY2402: $i] :
            ( ( SV323 != SY2401 )
            | ( SV610 != SY2402 )
            | ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
              = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2401 ) @ SY2402 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3515]) ).

thf(3710,plain,
    ! [SV610: $i,SV323: $i] :
      ( ( ~ ( ~ ! [SY2403: $i] :
                  ( ! [SY2404: $i] :
                      ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
                     != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2403 ) @ SY2404 ) )
                  | ( SV323 = SY2403 ) )
            | ~ ! [SY2405: $i,SY2406: $i] :
                  ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
                   != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2405 ) @ SY2406 ) )
                  | ( SV610 = SY2406 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3516]) ).

thf(3711,plain,
    ! [SV948: $i,SV853: $i] :
      ( ( ( ( hAPP_val_option_val @ some_val @ SV853 )
         != ( hAPP_val_option_val @ some_val @ SV948 ) )
        | ( SV853 = SV948 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3517]) ).

thf(3712,plain,
    ! [SV949: $i,SV854: $i] :
      ( ( ( SV854 != SV949 )
        | ( ( hAPP_val_option_val @ some_val @ SV854 )
          = ( hAPP_val_option_val @ some_val @ SV949 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3518]) ).

thf(3713,plain,
    ! [SV611: $i,SV324: $i] :
      ( ( ~ ( ~ ! [SY2407: $i,SY2408: $i] :
                  ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2407 )
                   != ( hAPP_val_option_val @ some_val @ SY2408 ) )
                  | ( ( hAPP_l207779698on_val @ SV611 @ SY2407 )
                    = none_val )
                  | ( ( hAPP_l207779698on_val @ SV611 @ SY2407 )
                    = ( hAPP_val_option_val @ some_val @ SY2408 ) ) )
            | ~ ! [SY2409: $i,SY2410: $i] :
                  ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2409 )
                   != ( hAPP_val_option_val @ some_val @ SY2410 ) )
                  | ( ( hAPP_l207779698on_val @ SV324 @ SY2409 )
                    = ( hAPP_val_option_val @ some_val @ SY2410 ) )
                  | ( ( hAPP_l207779698on_val @ SV611 @ SY2409 )
                    = ( hAPP_val_option_val @ some_val @ SY2410 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3519]) ).

thf(3714,plain,
    ! [SV324: $i,SV611: $i] :
      ( ( ~ ( ~ ! [SY2411: $i,SY2412: $i] :
                  ( ( ( hAPP_l207779698on_val @ SV611 @ SY2411 )
                   != none_val )
                  | ( ( hAPP_l207779698on_val @ SV324 @ SY2411 )
                   != ( hAPP_val_option_val @ some_val @ SY2412 ) )
                  | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2411 )
                    = ( hAPP_val_option_val @ some_val @ SY2412 ) ) )
            | ~ ! [SY2413: $i,SY2414: $i] :
                  ( ( ( hAPP_l207779698on_val @ SV611 @ SY2413 )
                   != ( hAPP_val_option_val @ some_val @ SY2414 ) )
                  | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2413 )
                    = ( hAPP_val_option_val @ some_val @ SY2414 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3520]) ).

thf(3715,plain,
    ! [SV950: $i,SV855: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SV855 @ ( sK3_X_1 @ SV950 @ SV855 ) ) ) @ ( hAPP_list_char_bool @ SV950 @ ( sK3_X_1 @ SV950 @ SV855 ) ) ) )
        | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV855 ) @ SV950 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3521]) ).

thf(3716,plain,
    ! [SV951: $i,SV856: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV856 ) @ SV951 ) )
        | ! [SY2977: $i] : ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SV856 @ SY2977 ) ) @ ( hAPP_list_char_bool @ SV951 @ SY2977 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3522]) ).

thf(3717,plain,
    ! [SV739: $i,SV612: $i,SV325: $i] :
      ( ( ~ ! [SY2686: $i,SY2687: $i] :
              ( ~ ( hBOOL @ ( wTrt @ SV325 @ SV612 @ SV739 @ SY2686 @ SY2687 ) )
              | ( hBOOL @ ( wTrt_1 @ SV325 @ SV612 @ SV739 @ SY2686 @ SY2687 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3523]) ).

thf(3718,plain,
    ! [SV739: $i,SV612: $i,SV325: $i] :
      ( ( ~ ! [SY2688: $i,SY2689: $i] :
              ( ~ ( hBOOL @ ( wTrt_1 @ SV325 @ SV612 @ SV739 @ SY2688 @ SY2689 ) )
              | ( hBOOL @ ( wTrt @ SV325 @ SV612 @ SV739 @ SY2688 @ SY2689 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3523]) ).

thf(3719,plain,
    ! [SV740: $i,SV613: $i,SV326: $i] :
      ( ( ~ ! [SY2690: $i,SY2691: $i] :
              ( ~ ( hBOOL @ ( wTrts @ SV326 @ SV613 @ SV740 @ SY2690 @ SY2691 ) )
              | ( hBOOL @ ( wTrts_1 @ SV326 @ SV613 @ SV740 @ SY2690 @ SY2691 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3524]) ).

thf(3720,plain,
    ! [SV740: $i,SV613: $i,SV326: $i] :
      ( ( ~ ! [SY2692: $i,SY2693: $i] :
              ( ~ ( hBOOL @ ( wTrts_1 @ SV326 @ SV613 @ SV740 @ SY2692 @ SY2693 ) )
              | ( hBOOL @ ( wTrts @ SV326 @ SV613 @ SV740 @ SY2692 @ SY2693 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3524]) ).

thf(3721,plain,
    ! [SV857: $i] :
      ( ( ( ! [SY2879: $i] :
              ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV857 @ SY2879 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV857 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK27_A_1 @ SV857 ) ) @ ( sK28_SY1143 @ SV857 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3525]) ).

thf(3722,plain,
    ! [SV858: $i] :
      ( ( ( ! [SY2880: $i,SY2881: $i] :
              ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV858 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2880 ) @ SY2881 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV858 @ ( sK26_X1 @ SV858 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3526]) ).

thf(3723,plain,
    ! [SV859: $i,SV741: $i,SV616: $i,SV331: $i,SV5: $i] :
      ( ( ( ( ( fun_up1149430426on_val @ SV5 @ SV331 @ ( hAPP_val_option_val @ some_val @ SV616 ) )
           != ( fun_up1149430426on_val @ SV741 @ SV331 @ ( hAPP_val_option_val @ some_val @ SV859 ) ) ) )
        = $true )
      | ( ( SV616 = SV859 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3529]) ).

thf(3724,plain,
    ! [SV860: $i,SV742: $i,SV617: $i,SV332: $i,SV6: $i] :
      ( ( ( ( ( fun_up204312361on_val @ SV6 @ SV332 @ ( hAPP_val_option_val @ some_val @ SV617 ) )
           != ( fun_up204312361on_val @ SV742 @ SV332 @ ( hAPP_val_option_val @ some_val @ SV860 ) ) ) )
        = $true )
      | ( ( SV617 = SV860 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3530]) ).

thf(3725,plain,
    ! [SV620: $i,SV336: $i,SV11: $i,SV861: $i,SV744: $i] :
      ( ( ( SV744 = SV861 )
        = $true )
      | ( ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SV744 @ SV336 ) @ SV861 @ SV620 )
          = ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SV861 @ SV620 ) @ SV744 @ SV336 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3533]) ).

thf(3726,plain,
    ! [SV862: $i,SV746: $i,SV623: $i,SV341: $i,SV24: $i] :
      ( ( ( ! [SY2882: $i,SY2883: $i] :
              ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV24 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV341 ) @ SV623 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV746 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV862 ) @ SY2882 ) ) ) ) @ ( red @ SY2883 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hext @ SV341 @ SV862 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3534]) ).

thf(3727,plain,
    ! [SV25: $i,SV952: $i,SV863: $i,SV747: $i,SV624: $i,SV342: $i] :
      ( ( ! [SY2978: $i,SY2979: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV342 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV624 ) @ SV747 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV863 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV952 ) @ SY2978 ) ) ) ) @ ( red @ SY2979 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV342 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV624 ) @ ( map_ad325961431ar_val @ SV25 @ SV747 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV863 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV952 ) @ ( map_ad325961431ar_val @ SV25 @ SY2978 ) ) ) ) ) @ ( red @ SY2979 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3535]) ).

thf(3728,plain,
    ! [SV26: $i,SV748: $i,SV625: $i,SV343: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV343 @ SV625 )
          = ( hAPP_val_option_val @ some_val @ SV748 ) )
        = $false )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV26 @ SV343 ) @ SV625 )
          = ( hAPP_val_option_val @ some_val @ SV748 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3536]) ).

thf(3729,plain,
    ! [SV27: $i,SV953: $i,SV864: $i,SV749: $i,SV626: $i,SV344: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV344 ) @ SV626 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV749 ) @ SV864 ) ) ) @ ( red @ SV953 ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV27 @ SV344 ) ) @ SV626 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV27 @ SV749 ) ) @ SV864 ) ) ) @ ( red @ SV953 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3537]) ).

thf(3730,plain,
    ! [SV28: $i,SV954: $i,SV865: $i,SV750: $i,SV627: $i,SV345: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV345 ) @ SV627 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV750 ) @ SV865 ) ) ) @ ( red @ SV954 ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV345 @ SV28 ) ) @ SV627 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV750 @ SV28 ) ) @ SV865 ) ) ) @ ( red @ SV954 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3538]) ).

thf(3731,plain,
    ! [SV348: $i,SV31: $i,SV955: $i,SV866: $i,SV753: $i,SV630: $i] :
      ( ( ! [SY2980: $i] :
            ~ ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SV866 @ SV955 @ SY2980 ) )
        | ~ ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SV866 @ SV31 @ SV348 ) )
        | ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SV866 @ ( seq_list_char @ SV955 @ SV31 ) @ SV348 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3539]) ).

thf(3732,plain,
    ! [SV33: $i,SV956: $i,SV867: $i,SV754: $i,SV631: $i,SV349: $i] :
      ( ( ~ ( hBOOL @ ( wTrt_1 @ SV349 @ SV631 @ SV754 @ SV867 @ SV956 ) )
        | ~ ( hBOOL @ ( hext @ SV631 @ SV33 ) )
        | ( hBOOL @ ( wTrt_1 @ SV349 @ SV33 @ SV754 @ SV867 @ SV956 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3540]) ).

thf(3733,plain,
    ! [SV350: $i,SV34: $i,SV632: $i] :
      ( ( ( ~ ( hBOOL @ ( hext @ SV632 @ SV34 ) ) )
        = $true )
      | ( ( hBOOL @ ( hext @ SV350 @ SV34 ) )
        = $true )
      | ( ( hBOOL @ ( hext @ SV350 @ SV632 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3541]) ).

thf(3734,plain,
    ! [SV38: $i,SV957: $i,SV868: $i,SV755: $i,SV634: $i,SV352: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV352 ) @ SV634 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV755 ) @ SV868 ) ) ) @ ( transi2024712006on_val @ ( red @ SV957 ) ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV352 @ SV38 ) ) @ SV634 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV755 @ SV38 ) ) @ SV868 ) ) ) @ ( transi2024712006on_val @ ( red @ SV957 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3542]) ).

thf(3735,plain,
    ! [SV39: $i,SV958: $i,SV869: $i,SV756: $i,SV635: $i,SV353: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV353 ) @ SV635 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV756 ) @ SV869 ) ) ) @ ( transi2024712006on_val @ ( red @ SV958 ) ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV39 @ SV353 ) ) @ SV635 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV39 @ SV756 ) ) @ SV869 ) ) ) @ ( transi2024712006on_val @ ( red @ SV958 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3543]) ).

thf(3736,plain,
    ! [SV40: $i,SV959: $i,SV870: $i,SV757: $i,SV636: $i,SV354: $i] :
      ( ( ! [SY2981: $i,SY2982: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV354 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV636 ) @ SV757 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV870 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV959 ) @ SY2981 ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2982 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV354 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV636 ) @ ( map_ad325961431ar_val @ SV40 @ SV757 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV870 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV959 ) @ ( map_ad325961431ar_val @ SV40 @ SY2981 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY2982 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3544]) ).

thf(3737,plain,
    ! [SV43: $i,SV357: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV357 ) @ SV43 ) )
        = $false )
      | ( ( SV43 = SV357 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV43 ) @ SV357 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3545]) ).

thf(3738,plain,
    ! [SV637: $i,SV358: $i,SV44: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV44 ) @ SV358 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV44 ) @ SV637 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV358 ) @ SV637 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3546]) ).

thf(3739,plain,
    ! [SV46: $i,SV360: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV360 ) @ ( transi2024712006on_val @ SV46 ) ) )
        = $false )
      | ( ( ( transi2024712006on_val @ SV360 )
          = ( transi2024712006on_val @ SV46 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV46 ) @ SV360 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3547]) ).

thf(3740,plain,
    ! [SV638: $i,SV364: $i,SV52: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV52 ) @ SV364 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV52 ) @ SV638 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV364 ) @ SV638 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3548]) ).

thf(3741,plain,
    ! [SV365: $i,SV53: $i,SV639: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV639 ) @ SV53 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV365 ) @ SV53 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV365 ) @ SV639 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3549]) ).

thf(3742,plain,
    ! [SV640: $i,SV366: $i,SV54: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV54 ) @ SV366 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV54 ) @ SV640 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV366 ) @ SV640 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3550]) ).

thf(3743,plain,
    ! [SV367: $i,SV55: $i,SV641: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV641 ) @ SV55 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV367 ) @ SV55 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV367 ) @ SV641 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3551]) ).

thf(3744,plain,
    ! [SV56: $i,SV758: $i,SV642: $i,SV368: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV368 ) @ SV642 ) ) @ SV758 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV642 ) @ SV56 ) ) @ ( transi2024712006on_val @ SV758 ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV368 ) @ SV56 ) ) @ ( transi2024712006on_val @ SV758 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3552]) ).

thf(3745,plain,
    ! [SV57: $i,SV759: $i,SV643: $i,SV369: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV369 ) @ SV643 ) ) @ ( transi2024712006on_val @ SV759 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV643 ) @ SV57 ) ) @ SV759 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV369 ) @ SV57 ) ) @ ( transi2024712006on_val @ SV759 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3553]) ).

thf(3746,plain,
    ! [SV58: $i,SV760: $i,SV644: $i,SV370: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV370 ) @ SV644 ) ) @ ( transi2024712006on_val @ SV760 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV644 ) @ SV58 ) ) @ ( transi2024712006on_val @ SV760 ) ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV370 ) @ SV58 ) ) @ ( transi2024712006on_val @ SV760 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3554]) ).

thf(3747,plain,
    ! [SV645: $i,SV371: $i,SV61: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV61 ) @ SV371 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV61 ) @ SV645 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV371 ) @ SV645 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3555]) ).

thf(3748,plain,
    ! [SV62: $i,SV372: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV372 ) @ SV62 ) )
        = $false )
      | ( ( SV372 = SV62 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV62 ) @ SV372 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3556]) ).

thf(3749,plain,
    ! [SV373: $i,SV63: $i,SV646: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV646 ) @ SV63 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV373 ) @ SV63 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV373 ) @ SV646 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3557]) ).

thf(3750,plain,
    ! [SV64: $i,SV374: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV374 ) @ SV64 ) )
        = $false )
      | ( ( SV64 = SV374 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV64 ) @ SV374 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3558]) ).

thf(3751,plain,
    ! [SV647: $i,SV65: $i,SV375: $i] :
      ( ( ( ( SV375 != SV65 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV65 ) @ SV647 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV375 ) @ SV647 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3559]) ).

thf(3752,plain,
    ! [SV376: $i,SV66: $i,SV648: $i] :
      ( ( ( ( SV648 != SV66 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV376 ) @ SV66 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV376 ) @ SV648 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3560]) ).

thf(3753,plain,
    ! [SV377: $i,SV649: $i,SV67: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV67 ) @ SV649 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV67 ) @ SV377 ) )
        = $true )
      | ( ( SV377 = SV649 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3561]) ).

thf(3754,plain,
    ! [SV378: $i,SV68: $i,SV650: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV650 ) @ SV68 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV378 ) @ SV68 ) )
        = $true )
      | ( ( SV378 = SV650 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3562]) ).

thf(3755,plain,
    ! [SV651: $i,SV380: $i,SV70: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV70 ) @ SV380 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV70 ) @ SV651 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV70 ) @ ( semila751111325l_bool @ SV380 @ SV651 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3563]) ).

thf(3756,plain,
    ! [SV381: $i,SV652: $i,SV71: $i] :
      ( ( ( hBOOL @ ( hAPP_list_char_bool @ SV71 @ SV652 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_list_char_bool @ SV381 @ SV652 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV71 @ SV381 ) @ SV652 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3564]) ).

thf(3757,plain,
    ! [SV653: $i,SV382: $i,SV72: $i,SV960: $i,SV871: $i,SV761: $i] :
      ( ( ! [SY2983: $i,SY2984: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV761 ) @ SV871 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV960 ) @ SY2983 ) ) ) @ ( red @ SY2984 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV761 @ SV72 @ SV382 @ SV653 ) ) @ SV871 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV960 @ SV72 @ SV382 @ SV653 ) ) @ SY2983 ) ) ) @ ( red @ SY2984 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3565]) ).

thf(3758,plain,
    ! [SV654: $i,SV383: $i,SV73: $i,SV961: $i,SV872: $i,SV762: $i] :
      ( ( ! [SY2985: $i,SY2986: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV762 ) @ SV872 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV961 ) @ SY2985 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2986 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV762 @ SV73 @ SV383 @ SV654 ) ) @ SV872 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV961 @ SV73 @ SV383 @ SV654 ) ) @ SY2985 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2986 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3566]) ).

thf(3759,plain,
    ! [SV874: $i,SV764: $i,SV657: $i,SV386: $i,SV76: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV76 ) @ SV386 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV657 ) @ SV764 ) ) ) @ ( red @ SV874 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV76 ) ) @ SV386 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV657 ) ) @ SV764 ) ) ) @ ( red @ SV874 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3568]) ).

thf(3760,plain,
    ! [SV387: $i,SV77: $i,SV962: $i,SV875: $i,SV765: $i,SV658: $i] :
      ( ( ! [SY2987: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV658 ) @ SV765 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV875 ) @ SV962 ) ) ) @ ( red @ SY2987 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV658 @ SV77 @ SV387 ) ) @ SV765 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV875 @ SV77 @ SV387 ) ) @ SV962 ) ) ) @ ( red @ SY2987 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3569]) ).

thf(3761,plain,
    ! [SV876: $i,SV766: $i,SV659: $i,SV388: $i,SV78: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV78 ) @ SV388 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV659 ) @ SV766 ) ) ) @ ( transi2024712006on_val @ ( red @ SV876 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV78 ) ) @ SV388 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV659 ) ) @ SV766 ) ) ) @ ( transi2024712006on_val @ ( red @ SV876 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3570]) ).

thf(3762,plain,
    ! [SV877: $i,SV767: $i,SV660: $i,SV389: $i,SV79: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV79 ) @ SV389 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV660 ) ) @ SV767 ) ) ) @ ( transi2024712006on_val @ ( red @ SV877 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV79 ) ) @ SV389 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV660 ) ) @ SV767 ) ) ) @ ( transi2024712006on_val @ ( red @ SV877 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3571]) ).

thf(3763,plain,
    ! [SV963: $i,SV878: $i,SV770: $i,SV663: $i,SV392: $i,SV82: $i] :
      ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ ( throw_list_char @ SV82 ) @ SV392 @ SV663 @ SV770 ) ) @ SV878 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV82 ) ) @ SV878 ) ) ) @ ( red @ SV963 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3572]) ).

thf(3764,plain,
    ! [SV393: $i,SV83: $i,SV964: $i,SV879: $i,SV771: $i,SV664: $i] :
      ( ( ! [SY2988: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV664 ) @ SV771 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV879 ) @ SV964 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2988 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV664 @ SV83 @ SV393 ) ) @ SV771 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV879 @ SV83 @ SV393 ) ) @ SV964 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2988 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3573]) ).

thf(3765,plain,
    ! [SV394: $i,SV84: $i,SV965: $i,SV880: $i,SV772: $i,SV665: $i] :
      ( ( ! [SY2989: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV665 ) @ SV772 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV880 ) @ SV965 ) ) ) @ ( red @ SY2989 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV665 @ SV84 @ SV394 ) ) @ SV772 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV880 @ SV84 @ SV394 ) ) @ SV965 ) ) ) @ ( red @ SY2989 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3574]) ).

thf(3766,plain,
    ! [SV666: $i,SV395: $i,SV85: $i,SV966: $i,SV881: $i,SV773: $i] :
      ( ( ! [SY2990: $i,SY2991: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV773 ) @ SV881 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV966 ) @ SY2990 ) ) ) @ ( red @ SY2991 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV773 @ SV85 @ SV395 @ SV666 ) ) @ SV881 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV966 @ SV85 @ SV395 @ SV666 ) ) @ SY2990 ) ) ) @ ( red @ SY2991 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3575]) ).

thf(3767,plain,
    ! [SV397: $i,SV87: $i,SV967: $i,SV883: $i,SV775: $i,SV668: $i] :
      ( ( ! [SY2992: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV668 ) @ SV775 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV883 ) @ SV967 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2992 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV668 @ SV87 @ SV397 ) ) @ SV775 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV883 @ SV87 @ SV397 ) ) @ SV967 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2992 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3577]) ).

thf(3768,plain,
    ! [SV669: $i,SV398: $i,SV88: $i,SV968: $i,SV884: $i,SV776: $i] :
      ( ( ! [SY2993: $i,SY2994: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV776 ) @ SV884 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV968 ) @ SY2993 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2994 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV776 @ SV88 @ SV398 @ SV669 ) ) @ SV884 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV968 @ SV88 @ SV398 @ SV669 ) ) @ SY2993 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2994 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3578]) ).

thf(3769,plain,
    ! [SV89: $i,SV969: $i,SV885: $i,SV777: $i,SV670: $i,SV399: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV399 ) @ SV670 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV777 ) @ SV885 ) ) ) @ ( red @ SV969 ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV89 @ SV399 ) ) @ SV670 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV89 @ SV777 ) ) @ SV885 ) ) ) @ ( red @ SV969 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3579]) ).

thf(3770,plain,
    ! [SV91: $i,SV970: $i,SV886: $i,SV779: $i,SV672: $i,SV401: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV401 ) @ SV672 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV779 ) @ SV886 ) ) ) @ ( transi2024712006on_val @ ( red @ SV970 ) ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV91 @ SV401 ) ) @ SV672 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV91 @ SV779 ) ) @ SV886 ) ) ) @ ( transi2024712006on_val @ ( red @ SV970 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3580]) ).

thf(3771,plain,
    ! [SV92: $i,SV402: $i] :
      ( ( ( hBOOL @ ( hext @ SV402 @ SV92 ) )
        = $false )
      | ( ( hBOOL @ ( preallocated @ SV92 ) )
        = $true )
      | ( ( hBOOL @ ( preallocated @ SV402 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3581]) ).

thf(3772,plain,
    ! [SV403: $i,SV93: $i,SV971: $i,SV887: $i,SV780: $i,SV673: $i] :
      ( ( ! [SY2995: $i] :
            ~ ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SV887 @ SV971 @ SY2995 ) )
        | ~ ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SV887 @ SV93 @ SV403 ) )
        | ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SV887 @ ( seq_list_char @ SV971 @ SV93 ) @ SV403 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3582]) ).

thf(3773,plain,
    ! [SV888: $i,SV781: $i,SV674: $i,SV404: $i,SV94: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt_1 @ SV94 @ SV404 @ SV674 @ SV781 @ SV888 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV94 @ SV404 @ SV674 @ SV781 @ SV888 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3583]) ).

thf(3774,plain,
    ! [SV889: $i,SV782: $i,SV675: $i,SV405: $i,SV95: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt @ SV95 @ SV405 @ SV675 @ SV782 @ SV889 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt_1 @ SV95 @ SV405 @ SV675 @ SV782 @ SV889 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3584]) ).

thf(3775,plain,
    ! [SV406: $i,SV96: $i,SV972: $i,SV890: $i,SV783: $i,SV676: $i] :
      ( ( ! [SY2996: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV676 ) @ SV783 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV890 ) @ SV972 ) ) ) @ ( red @ SY2996 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV676 @ SV96 @ SV406 ) ) @ SV783 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV890 @ SV96 @ SV406 ) ) @ SV972 ) ) ) @ ( red @ SY2996 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3585]) ).

thf(3776,plain,
    ! [SV408: $i,SV98: $i,SV973: $i,SV892: $i,SV785: $i,SV678: $i] :
      ( ( ! [SY2997: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV678 ) @ SV785 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV892 ) @ SV973 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2997 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV678 @ SV98 @ SV408 ) ) @ SV785 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV892 @ SV98 @ SV408 ) ) @ SV973 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2997 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3587]) ).

thf(3777,plain,
    ! [SV409: $i,SV99: $i,SV974: $i,SV893: $i,SV786: $i,SV679: $i] :
      ( ( ! [SY2998: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV679 ) @ SV786 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV893 ) @ SV974 ) ) ) @ ( red @ SY2998 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV679 @ SV99 @ SV409 ) ) @ SV786 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV893 @ SV99 @ SV409 ) ) @ SV974 ) ) ) @ ( red @ SY2998 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3588]) ).

thf(3778,plain,
    ! [SV411: $i,SV101: $i,SV975: $i,SV895: $i,SV788: $i,SV681: $i] :
      ( ( ! [SY2999: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV681 ) @ SV788 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV895 ) @ SV975 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2999 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV681 @ SV101 @ SV411 ) ) @ SV788 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV895 @ SV101 @ SV411 ) ) @ SV975 ) ) ) @ ( transi2024712006on_val @ ( red @ SY2999 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3590]) ).

thf(3779,plain,
    ! [SV102: $i,SV976: $i,SV896: $i,SV789: $i,SV682: $i,SV412: $i] :
      ( ( ~ ( hBOOL @ ( wTrts_1 @ SV412 @ SV682 @ SV789 @ SV896 @ SV976 ) )
        | ~ ( hBOOL @ ( hext @ SV682 @ SV102 ) )
        | ( hBOOL @ ( wTrts_1 @ SV412 @ SV102 @ SV789 @ SV896 @ SV976 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3591]) ).

thf(3780,plain,
    ! [SV897: $i,SV790: $i,SV683: $i,SV413: $i,SV103: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrts @ SV103 @ SV413 @ SV683 @ SV790 @ SV897 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrts_1 @ SV103 @ SV413 @ SV683 @ SV790 @ SV897 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3592]) ).

thf(3781,plain,
    ! [SV898: $i,SV791: $i,SV684: $i,SV414: $i,SV104: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrts_1 @ SV104 @ SV414 @ SV684 @ SV791 @ SV898 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrts @ SV104 @ SV414 @ SV684 @ SV791 @ SV898 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3593]) ).

thf(3782,plain,
    ! [SV694: $i,SV546: $i,SV243: $i,SV903: $i,SV798: $i] :
      ( ( ( SV798 = SV903 )
        = $true )
      | ( ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV243 @ SV798 @ SV546 ) @ SV903 @ SV694 )
          = ( fun_up204312361on_val @ ( fun_up204312361on_val @ SV243 @ SV903 @ SV694 ) @ SV798 @ SV546 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3600]) ).

thf(3783,plain,
    ! [SV904: $i,SV800: $i,SV698: $i,SV550: $i,SV247: $i] :
      ( ( ( block_list_char @ SV247 @ SV550 @ SV698 )
        = ( lAss_list_char @ SV800 @ SV904 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3601]) ).

thf(3784,plain,
    ! [SV905: $i,SV801: $i,SV699: $i,SV551: $i,SV248: $i] :
      ( ( ( block_list_char @ SV248 @ SV551 @ SV699 )
        = ( seq_list_char @ SV801 @ SV905 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3602]) ).

thf(3785,plain,
    ! [SV906: $i,SV802: $i,SV700: $i,SV552: $i,SV249: $i] :
      ( ( ( lAss_list_char @ SV249 @ SV552 )
        = ( block_list_char @ SV700 @ SV802 @ SV906 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3603]) ).

thf(3786,plain,
    ! [SV907: $i,SV805: $i,SV703: $i,SV555: $i,SV252: $i] :
      ( ( ( seq_list_char @ SV252 @ SV555 )
        = ( block_list_char @ SV703 @ SV805 @ SV907 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3606]) ).

thf(3787,plain,
    ! [SV977: $i,SV908: $i,SV806: $i,SV704: $i,SV556: $i,SV253: $i] :
      ( ( ! [SY3000: $i] :
            ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV253 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV556 ) @ SV704 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV806 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV908 ) @ SV977 ) ) ) ) @ ( red @ SY3000 ) ) )
        | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ ( dom_list_char_val @ SV704 ) ) @ ( dom_list_char_val @ SV977 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3607]) ).

thf(3788,plain,
    ! [SV705: $i,SV254: $i,SV557: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV557 ) @ SV254 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_list_char_bool @ SV254 @ SV705 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_list_char_bool @ SV557 @ SV705 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3608]) ).

thf(3789,plain,
    ! [SV706: $i,SV255: $i,SV558: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SV558 @ SV255 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_list_char_bool @ SV706 @ SV255 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV558 ) @ SV706 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3609]) ).

thf(3790,plain,
    ! [SV567: $i,SV268: $i,SV978: $i,SV909: $i,SV808: $i,SV712: $i] :
      ( ( ! [SY3001: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV712 ) @ SV808 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV909 ) ) @ SV978 ) ) ) @ ( transi2024712006on_val @ ( red @ SY3001 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV712 @ SV268 @ SV567 ) ) @ SV808 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV909 ) ) @ SV978 ) ) ) @ ( transi2024712006on_val @ ( red @ SY3001 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3612]) ).

thf(3791,plain,
    ! [SV269: $i,SV979: $i,SV910: $i,SV809: $i,SV713: $i,SV568: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV568 ) @ SV713 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV809 ) ) @ SV910 ) ) ) @ ( transi2024712006on_val @ ( red @ SV979 ) ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV269 @ SV568 ) ) @ SV713 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV809 ) ) @ SV910 ) ) ) @ ( transi2024712006on_val @ ( red @ SV979 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3613]) ).

thf(3792,plain,
    ! [SV270: $i,SV980: $i,SV911: $i,SV810: $i,SV714: $i,SV569: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV569 ) @ SV714 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV810 ) ) @ SV911 ) ) ) @ ( transi2024712006on_val @ ( red @ SV980 ) ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV569 @ SV270 ) ) @ SV714 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV810 ) ) @ SV911 ) ) ) @ ( transi2024712006on_val @ ( red @ SV980 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3614]) ).

thf(3793,plain,
    ! [SV715: $i,SV570: $i,SV271: $i,SV981: $i,SV912: $i,SV811: $i] :
      ( ( ! [SY3002: $i,SY3003: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV811 ) @ SV912 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV981 ) ) @ SY3002 ) ) ) @ ( transi2024712006on_val @ ( red @ SY3003 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV811 @ SV271 @ SV570 @ SV715 ) ) @ SV912 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV981 ) ) @ SY3002 ) ) ) @ ( transi2024712006on_val @ ( red @ SY3003 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3615]) ).

thf(3794,plain,
    ! [SV272: $i,SV982: $i,SV913: $i,SV812: $i,SV716: $i,SV571: $i] :
      ( ( ~ ( hBOOL @ ( wTrt_1 @ SV571 @ SV716 @ SV812 @ SV913 @ SV982 ) )
        | ~ ( hBOOL @ ( is_refT @ SV982 ) )
        | ( hBOOL @ ( wTrt_1 @ SV571 @ SV716 @ SV812 @ ( throw_list_char @ SV913 ) @ SV272 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3616]) ).

thf(3795,plain,
    ! [SV573: $i,SV274: $i,SV983: $i,SV914: $i,SV813: $i,SV718: $i] :
      ( ( ! [SY3004: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV718 ) @ SV813 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV914 ) ) @ SV983 ) ) ) @ ( transi2024712006on_val @ ( red @ SY3004 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV718 @ SV274 @ SV573 ) ) @ SV813 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV914 ) ) @ SV983 ) ) ) @ ( transi2024712006on_val @ ( red @ SY3004 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3617]) ).

thf(3796,plain,
    ! [SV276: $i,SV984: $i,SV915: $i,SV814: $i,SV719: $i,SV575: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV575 ) @ SV719 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV814 ) ) @ SV915 ) ) ) @ ( transi2024712006on_val @ ( red @ SV984 ) ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV276 @ SV575 ) ) @ SV719 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV814 ) ) @ SV915 ) ) ) @ ( transi2024712006on_val @ ( red @ SV984 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3618]) ).

thf(3797,plain,
    ! [SV277: $i,SV985: $i,SV916: $i,SV815: $i,SV720: $i,SV576: $i] :
      ( ( ~ ( hBOOL @ ( wTrt @ SV576 @ SV720 @ SV815 @ SV916 @ SV985 ) )
        | ~ ( hBOOL @ ( is_refT @ SV985 ) )
        | ( hBOOL @ ( wTrt @ SV576 @ SV720 @ SV815 @ ( throw_list_char @ SV916 ) @ SV277 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3619]) ).

thf(3798,plain,
    ! [SV284: $i,SV986: $i,SV917: $i,SV816: $i,SV721: $i,SV579: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV579 ) @ SV721 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV816 ) ) @ SV917 ) ) ) @ ( transi2024712006on_val @ ( red @ SV986 ) ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( while_list_char @ SV579 @ SV284 ) ) @ SV721 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV816 ) ) @ SV917 ) ) ) @ ( transi2024712006on_val @ ( red @ SV986 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3620]) ).

thf(3799,plain,
    ! [SV581: $i,SV286: $i,SV987: $i,SV918: $i,SV817: $i,SV723: $i] :
      ( ( ! [SY3005: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV723 ) @ SV817 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV918 ) ) @ SV987 ) ) ) @ ( transi2024712006on_val @ ( red @ SY3005 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV723 @ SV286 @ SV581 ) ) @ SV817 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV918 ) ) @ SV987 ) ) ) @ ( transi2024712006on_val @ ( red @ SY3005 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3621]) ).

thf(3800,plain,
    ! [SV724: $i,SV582: $i,SV287: $i,SV988: $i,SV919: $i,SV818: $i] :
      ( ( ! [SY3006: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SV818 @ SV919 @ SV988 @ SY3006 @ nt ) )
            | ( hBOOL @ ( wTrt_1 @ SV818 @ SV919 @ SV988 @ ( fAcc_list_char @ SY3006 @ SV287 @ SV582 ) @ SV724 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3622]) ).

thf(3801,plain,
    ! [SV725: $i,SV583: $i,SV288: $i,SV989: $i,SV920: $i,SV819: $i] :
      ( ( ! [SY3007: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV819 @ SV920 @ SV989 @ SY3007 @ nt ) )
            | ( hBOOL @ ( wTrt @ SV819 @ SV920 @ SV989 @ ( fAcc_list_char @ SY3007 @ SV288 @ SV583 ) @ SV725 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3623]) ).

thf(3802,plain,
    ! [SV584: $i,SV289: $i,SV990: $i,SV921: $i,SV820: $i,SV726: $i] :
      ( ( ! [SY3008: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV726 ) @ SV820 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV921 ) ) @ SV990 ) ) ) @ ( transi2024712006on_val @ ( red @ SY3008 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV726 @ SV289 @ SV584 ) ) @ SV820 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV921 ) ) @ SV990 ) ) ) @ ( transi2024712006on_val @ ( red @ SY3008 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3624]) ).

thf(3803,plain,
    ! [SV585: $i,SV290: $i,SV821: $i,SV727: $i,SV991: $i,SV922: $i] :
      ( ( ! [SY3009: $i,SY3010: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SV922 @ SV991 @ SY3009 @ SY3010 @ nt ) )
            | ~ ( hBOOL @ ( wTrts_1 @ SV922 @ SV991 @ SY3009 @ SV727 @ SV821 ) )
            | ( hBOOL @ ( wTrt_1 @ SV922 @ SV991 @ SY3009 @ ( call_list_char @ SY3010 @ SV290 @ SV727 ) @ SV585 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3625]) ).

thf(3804,plain,
    ! [SV586: $i,SV291: $i,SV822: $i,SV728: $i,SV992: $i,SV923: $i] :
      ( ( ! [SY3011: $i,SY3012: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV923 @ SV992 @ SY3011 @ SY3012 @ nt ) )
            | ~ ( hBOOL @ ( wTrts @ SV923 @ SV992 @ SY3011 @ SV728 @ SV822 ) )
            | ( hBOOL @ ( wTrt @ SV923 @ SV992 @ SY3011 @ ( call_list_char @ SY3012 @ SV291 @ SV728 ) @ SV586 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3626]) ).

thf(3805,plain,
    ! [SV294: $i,SV823: $i,SV729: $i,SV587: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) @ SV823 ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3627]) ).

thf(3806,plain,
    ! [SV924: $i,SV824: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV824 ) @ SV924 ) ) )
        = $true )
      | ( ( ( SV924 != SV824 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV924 ) @ SV824 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3628]) ).

thf(3807,plain,
    ! [SV925: $i,SV825: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV825 ) @ SV925 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV925 ) @ SV825 ) )
          | ( SV925 = SV825 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3629]) ).

thf(3808,plain,
    ! [SV826: $i] :
      ( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV826 @ ( sK69_X1 @ SV826 ) ) )
        = $false )
      | ( ( ! [SY2839: $i,SY2840: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV826 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2839 ) @ SY2840 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3630]) ).

thf(3809,plain,
    ! [SV827: $i] :
      ( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV827 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK67_A_1 @ SV827 ) ) @ ( sK68_SY1167 @ SV827 ) ) ) )
        = $false )
      | ( ( ! [SY2841: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV827 @ SY2841 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3631]) ).

thf(3810,plain,
    ! [SV588: $i,SV295: $i,SV993: $i] :
      ( ( ! [SY3013: $i] :
            ( ( SY3013 != SV993 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV295 @ SV993 @ SV588 ) @ SY3013 )
              = SV588 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3632]) ).

thf(3811,plain,
    ! [SV588: $i,SV295: $i,SV994: $i] :
      ( ( ! [SY3014: $i] :
            ( ( SY3014 = SV994 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV295 @ SV994 @ SV588 ) @ SY3014 )
              = ( hAPP_l207779698on_val @ SV295 @ SY3014 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3633]) ).

thf(3812,plain,
    ! [SV926: $i,SV828: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV828 ) @ SV926 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV926 @ SV828 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3634]) ).

thf(3813,plain,
    ! [SV829: $i,SV927: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV927 @ SV829 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV829 ) @ SV927 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3635]) ).

thf(3814,plain,
    ! [SV928: $i,SV830: $i,SV730: $i,SV589: $i,SV296: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) ) ) @ ( transi2024712006on_val @ SV928 ) ) ) )
        = $true )
      | ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 )
            = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) @ ( sK21_SY1142 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) ) ) @ SV928 ) )
              | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) @ ( sK21_SY1142 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) ) ) @ ( transi2024712006on_val @ SV928 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3636]) ).

thf(3815,plain,
    ! [SV995: $i,SV831: $i,SV731: $i,SV590: $i,SV297: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt_1 @ SV297 @ SV590 @ SV731 @ ( throw_list_char @ SV831 ) @ SV995 ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( wTrt_1 @ SV297 @ SV590 @ SV731 @ SV831 @ ( sK1_T_r_1 @ SV831 @ SV731 @ SV590 @ SV297 ) ) )
              | ~ ( hBOOL @ ( is_refT @ ( sK1_T_r_1 @ SV831 @ SV731 @ SV590 @ SV297 ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3637]) ).

thf(3816,plain,
    ! [SV996: $i,SV832: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV832 @ SV996 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV832 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK33_A_1 @ SV832 ) ) @ ( sK34_SY1145 @ SV832 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3638]) ).

thf(3817,plain,
    ! [SV997: $i,SV833: $i] :
      ( ( ( ! [SY3015: $i] :
              ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV833 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV997 ) @ SY3015 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV833 @ ( sK32_X1 @ SV833 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3639]) ).

thf(3818,plain,
    ! [SV998: $i,SV929: $i,SV298: $i] :
      ( ( ~ ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV298 @ SV929 ) @ SV998 ) )
        | ( hBOOL @ ( d_list_char @ SV929 @ SV998 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3640]) ).

thf(3819,plain,
    ! [SV298: $i,SV999: $i,SV930: $i] :
      ( ( ~ ( hBOOL @ ( d_list_char @ SV930 @ SV999 ) )
        | ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV298 @ SV930 ) @ SV999 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3641]) ).

thf(3820,plain,
    ! [SV732: $i,SV591: $i,SV299: $i] :
      ( ( ~ ( ~ ~ ( ~ ! [SY2655: $i] :
                        ( ! [SY2656: $i] :
                            ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2655 )
                           != ( hAPP_val_option_val @ some_val @ SY2656 ) )
                        | ( SY2655 = SV591 )
                        | ( SY2655 != SV591 ) )
                  | ~ ! [SY2657: $i,SY2658: $i] :
                        ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2657 )
                         != ( hAPP_val_option_val @ some_val @ SY2658 ) )
                        | ( SY2657 = SV591 )
                        | ( ( hAPP_P2094403585on_val @ SV299 @ SY2657 )
                          = ( hAPP_val_option_val @ some_val @ SY2658 ) ) ) )
            | ~ ~ ( ~ ! [SY2659: $i,SY2660: $i] :
                        ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2659 )
                         != ( hAPP_val_option_val @ some_val @ SY2660 ) )
                        | ( SV732 = SY2660 )
                        | ( SY2659 != SV591 ) )
                  | ~ ! [SY2661: $i,SY2662: $i] :
                        ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2661 )
                         != ( hAPP_val_option_val @ some_val @ SY2662 ) )
                        | ( SV732 = SY2662 )
                        | ( ( hAPP_P2094403585on_val @ SV299 @ SY2661 )
                          = ( hAPP_val_option_val @ some_val @ SY2662 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3642]) ).

thf(3821,plain,
    ! [SV299: $i,SV732: $i,SV591: $i] :
      ( ( ~ ( ~ ! [SY2663: $i,SY2664: $i] :
                  ( ( SY2663 != SV591 )
                  | ( SV732 != SY2664 )
                  | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2663 )
                    = ( hAPP_val_option_val @ some_val @ SY2664 ) ) )
            | ~ ! [SY2665: $i,SY2666: $i] :
                  ( ( SY2665 = SV591 )
                  | ( ( hAPP_P2094403585on_val @ SV299 @ SY2665 )
                   != ( hAPP_val_option_val @ some_val @ SY2666 ) )
                  | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2665 )
                    = ( hAPP_val_option_val @ some_val @ SY2666 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3643]) ).

thf(3822,plain,
    ! [SV300: $i,SV1000: $i,SV931: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SV931 @ SV1000 ) )
        | ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV300 @ SV931 ) @ SV1000 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3644]) ).

thf(3823,plain,
    ! [SV932: $i,SV1001: $i,SV300: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SV300 @ SV1001 ) )
        | ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV300 @ SV932 ) @ SV1001 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3645]) ).

thf(3824,plain,
    ! [SV301: $i,SV592: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( sK22_X_1 @ SV592 @ SV301 ) ) @ SV592 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV592 ) @ SV301 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3646]) ).

thf(3825,plain,
    ! [SV301: $i,SV592: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( sK22_X_1 @ SV592 @ SV301 ) ) @ SV301 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV592 ) @ SV301 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3647]) ).

thf(3826,plain,
    ! [SV933: $i,SV834: $i] :
      ( ( ( ( SV834 != SV933 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV834 ) @ SV933 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3648]) ).

thf(3827,plain,
    ! [SV934: $i,SV835: $i] :
      ( ( ( ( SV835 != SV934 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV934 ) @ SV835 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3649]) ).

thf(3828,plain,
    ! [SV733: $i,SV593: $i,SV302: $i] :
      ( ( ( SV302 = SV593 )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV302 ) @ ( sK15_Y_1 @ SV733 @ SV593 @ SV302 ) ) ) @ SV733 ) )
              | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK15_Y_1 @ SV733 @ SV593 @ SV302 ) ) @ SV593 ) ) @ ( transi2024712006on_val @ SV733 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV302 ) @ SV593 ) ) @ ( transi2024712006on_val @ SV733 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3650]) ).

thf(3829,plain,
    ! [SV836: $i] :
      ( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV836 @ ( sK63_X1 @ SV836 ) ) )
        = $false )
      | ( ( ! [SY2851: $i,SY2852: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV836 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2851 ) @ SY2852 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3651]) ).

thf(3830,plain,
    ! [SV837: $i] :
      ( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV837 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK61_A_1 @ SV837 ) ) @ ( sK62_SY1165 @ SV837 ) ) ) )
        = $false )
      | ( ( ! [SY2853: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV837 @ SY2853 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3652]) ).

thf(3831,plain,
    ! [SV594: $i,SV1002: $i,SV303: $i] :
      ( ( ! [SY3016: $i] :
            ( ( SV303 != SV1002 )
            | ( SV594 != SY3016 )
            | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
              = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1002 ) @ SY3016 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3653]) ).

thf(3832,plain,
    ! [SV594: $i,SV303: $i] :
      ( ( ~ ! [SY2327: $i] :
              ( ! [SY2328: $i] :
                  ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
                 != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2327 ) @ SY2328 ) )
              | ( SV303 = SY2327 ) )
        | ~ ! [SY2329: $i,SY2330: $i] :
              ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
               != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2329 ) @ SY2330 ) )
              | ( SV594 = SY2330 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3654]) ).

thf(3833,plain,
    ! [SV595: $i,SV1003: $i,SV304: $i] :
      ( ( ! [SY3017: $i] :
            ( ( SV304 != SV1003 )
            | ( SV595 != SY3017 )
            | ( ( lAss_list_char @ SV304 @ SV595 )
              = ( lAss_list_char @ SV1003 @ SY3017 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3655]) ).

thf(3834,plain,
    ! [SV595: $i,SV304: $i] :
      ( ( ~ ! [SY2333: $i] :
              ( ! [SY2334: $i] :
                  ( ( lAss_list_char @ SV304 @ SV595 )
                 != ( lAss_list_char @ SY2333 @ SY2334 ) )
              | ( SV304 = SY2333 ) )
        | ~ ! [SY2335: $i,SY2336: $i] :
              ( ( ( lAss_list_char @ SV304 @ SV595 )
               != ( lAss_list_char @ SY2335 @ SY2336 ) )
              | ( SV595 = SY2336 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3656]) ).

thf(3835,plain,
    ! [SV935: $i,SV838: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV838 ) @ SV935 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV935 ) @ SV838 ) ) )
        = $true )
      | ( ( SV838 = SV935 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3657]) ).

thf(3836,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 != SX1 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3658]) ).

thf(3837,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 != SX1 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3659]) ).

thf(3838,plain,
    ! [SV734: $i,SV596: $i,SV305: $i] :
      ( ( ( SV305 = SV596 )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV305 ) @ ( sK16_Y_1 @ SV734 @ SV596 @ SV305 ) ) ) @ ( transi2024712006on_val @ SV734 ) ) )
              | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_Y_1 @ SV734 @ SV596 @ SV305 ) ) @ SV596 ) ) @ SV734 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV305 ) @ SV596 ) ) @ ( transi2024712006on_val @ SV734 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3660]) ).

thf(3839,plain,
    ! [SV306: $i,SV1004: $i,SV936: $i,SV839: $i,SV735: $i,SV597: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        | ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
        | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) @ SV1004 ) )
            | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
                  | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) )
                        | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) ) )
        | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3661]) ).

thf(3840,plain,
    ! [SV598: $i,SV1005: $i,SV307: $i] :
      ( ( ! [SY3018: $i] :
            ( ( SV307 != SV1005 )
            | ( SV598 != SY3018 )
            | ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
              = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1005 ) @ SY3018 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3662]) ).

thf(3841,plain,
    ! [SV598: $i,SV307: $i] :
      ( ( ~ ! [SY2344: $i] :
              ( ! [SY2345: $i] :
                  ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
                 != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2344 ) @ SY2345 ) )
              | ( SV307 = SY2344 ) )
        | ~ ! [SY2346: $i,SY2347: $i] :
              ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
               != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2346 ) @ SY2347 ) )
              | ( SV598 = SY2347 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3663]) ).

thf(3842,plain,
    ! [SV599: $i,SV1006: $i,SV308: $i] :
      ( ( ! [SY3019: $i] :
            ( ( SV308 != SV1006 )
            | ( SV599 != SY3019 )
            | ( ( seq_list_char @ SV308 @ SV599 )
              = ( seq_list_char @ SV1006 @ SY3019 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3664]) ).

thf(3843,plain,
    ! [SV599: $i,SV308: $i] :
      ( ( ~ ! [SY2350: $i] :
              ( ! [SY2351: $i] :
                  ( ( seq_list_char @ SV308 @ SV599 )
                 != ( seq_list_char @ SY2350 @ SY2351 ) )
              | ( SV308 = SY2350 ) )
        | ~ ! [SY2352: $i,SY2353: $i] :
              ( ( ( seq_list_char @ SV308 @ SV599 )
               != ( seq_list_char @ SY2352 @ SY2353 ) )
              | ( SV599 = SY2353 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3665]) ).

thf(3844,plain,
    ! [SV736: $i,SV600: $i,SV309: $i] :
      ( ( ~ ( ~ ~ ( ~ ! [SY2670: $i] :
                        ( ! [SY2671: $i] :
                            ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2670 )
                           != ( hAPP_val_option_val @ some_val @ SY2671 ) )
                        | ( SY2670 = SV600 )
                        | ( SY2670 != SV600 ) )
                  | ~ ! [SY2672: $i,SY2673: $i] :
                        ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2672 )
                         != ( hAPP_val_option_val @ some_val @ SY2673 ) )
                        | ( SY2672 = SV600 )
                        | ( ( hAPP_l207779698on_val @ SV309 @ SY2672 )
                          = ( hAPP_val_option_val @ some_val @ SY2673 ) ) ) )
            | ~ ~ ( ~ ! [SY2674: $i,SY2675: $i] :
                        ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2674 )
                         != ( hAPP_val_option_val @ some_val @ SY2675 ) )
                        | ( SV736 = SY2675 )
                        | ( SY2674 != SV600 ) )
                  | ~ ! [SY2676: $i,SY2677: $i] :
                        ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2676 )
                         != ( hAPP_val_option_val @ some_val @ SY2677 ) )
                        | ( SV736 = SY2677 )
                        | ( ( hAPP_l207779698on_val @ SV309 @ SY2676 )
                          = ( hAPP_val_option_val @ some_val @ SY2677 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3666]) ).

thf(3845,plain,
    ! [SV309: $i,SV736: $i,SV600: $i] :
      ( ( ~ ( ~ ! [SY2678: $i,SY2679: $i] :
                  ( ( SY2678 != SV600 )
                  | ( SV736 != SY2679 )
                  | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2678 )
                    = ( hAPP_val_option_val @ some_val @ SY2679 ) ) )
            | ~ ! [SY2680: $i,SY2681: $i] :
                  ( ( SY2680 = SV600 )
                  | ( ( hAPP_l207779698on_val @ SV309 @ SY2680 )
                   != ( hAPP_val_option_val @ some_val @ SY2681 ) )
                  | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2680 )
                    = ( hAPP_val_option_val @ some_val @ SY2681 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3667]) ).

thf(3846,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( hBOOL @ SX0 )
          | ~ ( hBOOL @ SX1 )
          | ( ( bool @ SX0 )
            = ( bool @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3668]) ).

thf(3847,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( hBOOL @ SX0 )
          | ( hBOOL @ SX1 )
          | ( ( bool @ SX0 )
            = ( bool @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3669]) ).

thf(3848,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( ( bool @ SX0 )
           != ( bool @ SX1 ) )
          | ~ ( hBOOL @ SX0 )
          | ( hBOOL @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3670]) ).

thf(3849,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( ( bool @ SX0 )
           != ( bool @ SX1 ) )
          | ~ ( hBOOL @ SX1 )
          | ( hBOOL @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3671]) ).

thf(3850,plain,
    ! [SV1007: $i,SV601: $i,SV310: $i] :
      ( ( ! [SY3020: $i] :
            ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV310 ) @ SV601 )
           != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1007 ) @ SY3020 ) )
        | ( SV310 = SV1007 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3672]) ).

thf(3851,plain,
    ! [SV1008: $i,SV601: $i,SV310: $i] :
      ( ( ! [SY3021: $i] :
            ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV310 ) @ SV601 )
             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1008 ) @ SY3021 ) )
            | ( SV601 = SY3021 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3673]) ).

thf(3852,plain,
    ! [SV1009: $i,SV602: $i,SV311: $i] :
      ( ( ! [SY3022: $i] :
            ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV311 @ SV602 ) @ SV1009 )
             != ( hAPP_val_option_val @ some_val @ SY3022 ) )
            | ( ( hAPP_l207779698on_val @ SV602 @ SV1009 )
              = none_val )
            | ( ( hAPP_l207779698on_val @ SV602 @ SV1009 )
              = ( hAPP_val_option_val @ some_val @ SY3022 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3674]) ).

thf(3853,plain,
    ! [SV1010: $i,SV602: $i,SV311: $i] :
      ( ( ! [SY3023: $i] :
            ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV311 @ SV602 ) @ SV1010 )
             != ( hAPP_val_option_val @ some_val @ SY3023 ) )
            | ( ( hAPP_l207779698on_val @ SV311 @ SV1010 )
              = ( hAPP_val_option_val @ some_val @ SY3023 ) )
            | ( ( hAPP_l207779698on_val @ SV602 @ SV1010 )
              = ( hAPP_val_option_val @ some_val @ SY3023 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3675]) ).

thf(3854,plain,
    ! [SV603: $i,SV312: $i,SV1011: $i] :
      ( ( ! [SY3024: $i] :
            ( ( SY3024 != SV1011 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV312 @ SV1011 @ SV603 ) @ SY3024 )
              = SV603 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3676]) ).

thf(3855,plain,
    ! [SV603: $i,SV312: $i,SV1012: $i] :
      ( ( ! [SY3025: $i] :
            ( ( SY3025 = SV1012 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV312 @ SV1012 @ SV603 ) @ SY3025 )
              = ( hAPP_P2094403585on_val @ SV312 @ SY3025 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3677]) ).

thf(3856,plain,
    ! [SV1013: $i,SV604: $i,SV313: $i] :
      ( ( ! [SY3026: $i] :
            ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV604 )
           != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1013 ) @ SY3026 ) )
        | ( SV313 = SV1013 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3678]) ).

thf(3857,plain,
    ! [SV1014: $i,SV604: $i,SV313: $i] :
      ( ( ! [SY3027: $i] :
            ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV604 )
             != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1014 ) @ SY3027 ) )
            | ( SV604 = SY3027 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3679]) ).

thf(3858,plain,
    ! [SV841: $i] :
      ( ( ( SV841 = none_val )
        = $false )
      | ( ( ! [SY2857: $i] :
              ( SV841
             != ( hAPP_val_option_val @ some_val @ SY2857 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3681]) ).

thf(3859,plain,
    ! [SV605: $i,SV314: $i,SV1015: $i] :
      ( ( ! [SY3028: $i] :
            ( ( SV1015 != SY3028 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV314 @ SY3028 @ SV605 ) @ SV1015 )
              = SV605 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3682]) ).

thf(3860,plain,
    ! [SV605: $i,SV314: $i,SV1016: $i] :
      ( ( ! [SY3029: $i] :
            ( ( SV1016 = SY3029 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV314 @ SY3029 @ SV605 ) @ SV1016 )
              = ( hAPP_P2094403585on_val @ SV314 @ SV1016 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3683]) ).

thf(3861,plain,
    ! [SV842: $i,SV937: $i] :
      ( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV937 ) )
                  | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV842 ) ) )
              | ~ ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV937 ) )
                  | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV842 ) ) ) ) )
        = $true )
      | ( ( SV937 = SV842 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3684]) ).

thf(3862,plain,
    ! [SV843: $i,SV938: $i] :
      ( ( ( ( SV938 != SV843 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY2965: $i,SY2966: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2965 ) @ SY2966 ) ) @ SV938 ) )
                    | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2965 ) @ SY2966 ) ) @ SV843 ) ) )
              | ~ ! [SY2967: $i,SY2968: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2967 ) @ SY2968 ) ) @ SV843 ) )
                    | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2967 ) @ SY2968 ) ) @ SV938 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3685]) ).

thf(3863,plain,
    ! [SV1017: $i,SV939: $i,SV315: $i] :
      ( ( ( ( fun_up204312361on_val @ SV315 @ SV939 @ SV1017 )
         != SV315 )
        | ( ( hAPP_P2094403585on_val @ SV315 @ SV939 )
          = SV1017 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3686]) ).

thf(3864,plain,
    ! [SV1018: $i,SV940: $i,SV315: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ SV315 @ SV940 )
         != SV1018 )
        | ( ( fun_up204312361on_val @ SV315 @ SV940 @ SV1018 )
          = SV315 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3687]) ).

thf(3865,plain,
    ! [SV316: $i,SV1019: $i,SV941: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV941 ) @ SV1019 ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV941 ) @ ( semila751111325l_bool @ SV316 @ SV1019 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3688]) ).

thf(3866,plain,
    ! [SV316: $i,SV942: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV942 ) @ SV316 ) ) )
        = $true )
      | ( ( ! [SY2972: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV942 ) @ ( semila751111325l_bool @ SV316 @ SY2972 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3689]) ).

thf(3867,plain,
    ! [SV943: $i,SV844: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV844 ) @ SV943 ) )
          | ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV943 ) @ SV844 ) ) )
        = $true )
      | ( ( SV844 = SV943 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3690]) ).

thf(3868,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 != SX1 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX0 ) @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3691]) ).

thf(3869,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 != SX1 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SX1 ) @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[3692]) ).

thf(3870,plain,
    ! [SV1020: $i,SV846: $i] :
      ( ( ( ( SV846
           != ( hAPP_val_option_val @ some_val @ SV1020 ) ) )
        = $true )
      | ( ( ( SV846 != none_val ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3694]) ).

thf(3871,plain,
    ! [SV606: $i,SV317: $i,SV1021: $i] :
      ( ( ! [SY3030: $i] :
            ( ( SV1021 != SY3030 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV317 @ SY3030 @ SV606 ) @ SV1021 )
              = SV606 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3695]) ).

thf(3872,plain,
    ! [SV606: $i,SV317: $i,SV1022: $i] :
      ( ( ! [SY3031: $i] :
            ( ( SV1022 = SY3031 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV317 @ SY3031 @ SV606 ) @ SV1022 )
              = ( hAPP_l207779698on_val @ SV317 @ SV1022 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3696]) ).

thf(3873,plain,
    ! [SV318: $i,SV1023: $i,SV944: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV944 @ SV1023 )
         != none_val )
        | ( ( hAPP_l207779698on_val @ SV318 @ SV1023 )
         != none_val )
        | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SV944 ) @ SV1023 )
          = none_val ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3697]) ).

thf(3874,plain,
    ! [SV318: $i] :
      ( ( ~ ! [SY1910: $i,SY1911: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SY1910 ) @ SY1911 )
               != none_val )
              | ( ( hAPP_l207779698on_val @ SY1910 @ SY1911 )
                = none_val ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3698]) ).

thf(3875,plain,
    ! [SV318: $i] :
      ( ( ~ ! [SY1912: $i,SY1913: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SY1912 ) @ SY1913 )
               != none_val )
              | ( ( hAPP_l207779698on_val @ SV318 @ SY1913 )
                = none_val ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3698]) ).

thf(3876,plain,
    ! [SV319: $i,SV847: $i,SV737: $i,SV607: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) @ ( transi2024712006on_val @ SV847 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) @ SV847 ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3699]) ).

thf(3877,plain,
    ! [SV1024: $i,SV945: $i,SV320: $i] :
      ( ( ( ( fun_up1149430426on_val @ SV320 @ SV945 @ SV1024 )
         != SV320 )
        | ( ( hAPP_l207779698on_val @ SV320 @ SV945 )
          = SV1024 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3700]) ).

thf(3878,plain,
    ! [SV1025: $i,SV946: $i,SV320: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV320 @ SV946 )
         != SV1025 )
        | ( ( fun_up1149430426on_val @ SV320 @ SV946 @ SV1025 )
          = SV320 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3701]) ).

thf(3879,plain,
    ! [SV848: $i] :
      ( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV848 @ ( sK66_X1 @ SV848 ) ) )
        = $false )
      | ( ( ! [SY2866: $i,SY2867: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV848 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2866 ) @ SY2867 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3702]) ).

thf(3880,plain,
    ! [SV849: $i] :
      ( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV849 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK64_A_1 @ SV849 ) ) @ ( sK65_SY1166 @ SV849 ) ) ) )
        = $false )
      | ( ( ! [SY2868: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV849 @ SY2868 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3703]) ).

thf(3881,plain,
    ! [SV1026: $i,SV608: $i,SV321: $i] :
      ( ( ! [SY3032: $i] :
            ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV321 ) @ SV608 )
           != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1026 ) @ SY3032 ) )
        | ( SV321 = SV1026 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3704]) ).

thf(3882,plain,
    ! [SV1027: $i,SV608: $i,SV321: $i] :
      ( ( ! [SY3033: $i] :
            ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV321 ) @ SV608 )
             != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1027 ) @ SY3033 ) )
            | ( SV608 = SY3033 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3705]) ).

thf(3883,plain,
    ! [SV322: $i,SV1028: $i,SV947: $i,SV850: $i,SV738: $i,SV609: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        | ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
        | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
            | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ SV1028 ) )
                  | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) )
                        | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) ) )
        | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3706]) ).

thf(3884,plain,
    ! [SV1029: $i,SV851: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV851 @ SV1029 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV851 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK30_A_1 @ SV851 ) ) @ ( sK31_SY1144 @ SV851 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3707]) ).

thf(3885,plain,
    ! [SV1030: $i,SV852: $i] :
      ( ( ( ! [SY3034: $i] :
              ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV852 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1030 ) @ SY3034 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV852 @ ( sK29_X1 @ SV852 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3708]) ).

thf(3886,plain,
    ! [SV610: $i,SV1031: $i,SV323: $i] :
      ( ( ! [SY3035: $i] :
            ( ( SV323 != SV1031 )
            | ( SV610 != SY3035 )
            | ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
              = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1031 ) @ SY3035 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3709]) ).

thf(3887,plain,
    ! [SV610: $i,SV323: $i] :
      ( ( ~ ! [SY2403: $i] :
              ( ! [SY2404: $i] :
                  ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
                 != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2403 ) @ SY2404 ) )
              | ( SV323 = SY2403 ) )
        | ~ ! [SY2405: $i,SY2406: $i] :
              ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
               != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2405 ) @ SY2406 ) )
              | ( SV610 = SY2406 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3710]) ).

thf(3888,plain,
    ! [SV948: $i,SV853: $i] :
      ( ( ( ( ( hAPP_val_option_val @ some_val @ SV853 )
           != ( hAPP_val_option_val @ some_val @ SV948 ) ) )
        = $true )
      | ( ( SV853 = SV948 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3711]) ).

thf(3889,plain,
    ! [SV949: $i,SV854: $i] :
      ( ( ( ( SV854 != SV949 ) )
        = $true )
      | ( ( ( hAPP_val_option_val @ some_val @ SV854 )
          = ( hAPP_val_option_val @ some_val @ SV949 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3712]) ).

thf(3890,plain,
    ! [SV611: $i,SV324: $i] :
      ( ( ~ ! [SY2407: $i,SY2408: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2407 )
               != ( hAPP_val_option_val @ some_val @ SY2408 ) )
              | ( ( hAPP_l207779698on_val @ SV611 @ SY2407 )
                = none_val )
              | ( ( hAPP_l207779698on_val @ SV611 @ SY2407 )
                = ( hAPP_val_option_val @ some_val @ SY2408 ) ) )
        | ~ ! [SY2409: $i,SY2410: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2409 )
               != ( hAPP_val_option_val @ some_val @ SY2410 ) )
              | ( ( hAPP_l207779698on_val @ SV324 @ SY2409 )
                = ( hAPP_val_option_val @ some_val @ SY2410 ) )
              | ( ( hAPP_l207779698on_val @ SV611 @ SY2409 )
                = ( hAPP_val_option_val @ some_val @ SY2410 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3713]) ).

thf(3891,plain,
    ! [SV324: $i,SV611: $i] :
      ( ( ~ ! [SY2411: $i,SY2412: $i] :
              ( ( ( hAPP_l207779698on_val @ SV611 @ SY2411 )
               != none_val )
              | ( ( hAPP_l207779698on_val @ SV324 @ SY2411 )
               != ( hAPP_val_option_val @ some_val @ SY2412 ) )
              | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2411 )
                = ( hAPP_val_option_val @ some_val @ SY2412 ) ) )
        | ~ ! [SY2413: $i,SY2414: $i] :
              ( ( ( hAPP_l207779698on_val @ SV611 @ SY2413 )
               != ( hAPP_val_option_val @ some_val @ SY2414 ) )
              | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2413 )
                = ( hAPP_val_option_val @ some_val @ SY2414 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3714]) ).

thf(3892,plain,
    ! [SV950: $i,SV855: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SV855 @ ( sK3_X_1 @ SV950 @ SV855 ) ) ) @ ( hAPP_list_char_bool @ SV950 @ ( sK3_X_1 @ SV950 @ SV855 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV855 ) @ SV950 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3715]) ).

thf(3893,plain,
    ! [SV951: $i,SV856: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV856 ) @ SV951 ) ) )
        = $true )
      | ( ( ! [SY2977: $i] : ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SV856 @ SY2977 ) ) @ ( hAPP_list_char_bool @ SV951 @ SY2977 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3716]) ).

thf(3894,plain,
    ! [SV739: $i,SV612: $i,SV325: $i] :
      ( ( ! [SY2686: $i,SY2687: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV325 @ SV612 @ SV739 @ SY2686 @ SY2687 ) )
            | ( hBOOL @ ( wTrt_1 @ SV325 @ SV612 @ SV739 @ SY2686 @ SY2687 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3717]) ).

thf(3895,plain,
    ! [SV739: $i,SV612: $i,SV325: $i] :
      ( ( ! [SY2688: $i,SY2689: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SV325 @ SV612 @ SV739 @ SY2688 @ SY2689 ) )
            | ( hBOOL @ ( wTrt @ SV325 @ SV612 @ SV739 @ SY2688 @ SY2689 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3718]) ).

thf(3896,plain,
    ! [SV740: $i,SV613: $i,SV326: $i] :
      ( ( ! [SY2690: $i,SY2691: $i] :
            ( ~ ( hBOOL @ ( wTrts @ SV326 @ SV613 @ SV740 @ SY2690 @ SY2691 ) )
            | ( hBOOL @ ( wTrts_1 @ SV326 @ SV613 @ SV740 @ SY2690 @ SY2691 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3719]) ).

thf(3897,plain,
    ! [SV740: $i,SV613: $i,SV326: $i] :
      ( ( ! [SY2692: $i,SY2693: $i] :
            ( ~ ( hBOOL @ ( wTrts_1 @ SV326 @ SV613 @ SV740 @ SY2692 @ SY2693 ) )
            | ( hBOOL @ ( wTrts @ SV326 @ SV613 @ SV740 @ SY2692 @ SY2693 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3720]) ).

thf(3898,plain,
    ! [SV1032: $i,SV857: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV857 @ SV1032 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV857 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK27_A_1 @ SV857 ) ) @ ( sK28_SY1143 @ SV857 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3721]) ).

thf(3899,plain,
    ! [SV1033: $i,SV858: $i] :
      ( ( ( ! [SY3036: $i] :
              ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV858 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1033 ) @ SY3036 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV858 @ ( sK26_X1 @ SV858 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3722]) ).

thf(3900,plain,
    ! [SV859: $i,SV741: $i,SV616: $i,SV331: $i,SV5: $i] :
      ( ( ( ( fun_up1149430426on_val @ SV5 @ SV331 @ ( hAPP_val_option_val @ some_val @ SV616 ) )
          = ( fun_up1149430426on_val @ SV741 @ SV331 @ ( hAPP_val_option_val @ some_val @ SV859 ) ) )
        = $false )
      | ( ( SV616 = SV859 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3723]) ).

thf(3901,plain,
    ! [SV860: $i,SV742: $i,SV617: $i,SV332: $i,SV6: $i] :
      ( ( ( ( fun_up204312361on_val @ SV6 @ SV332 @ ( hAPP_val_option_val @ some_val @ SV617 ) )
          = ( fun_up204312361on_val @ SV742 @ SV332 @ ( hAPP_val_option_val @ some_val @ SV860 ) ) )
        = $false )
      | ( ( SV617 = SV860 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3724]) ).

thf(3902,plain,
    ! [SV1034: $i,SV862: $i,SV746: $i,SV623: $i,SV341: $i,SV24: $i] :
      ( ( ( ! [SY3037: $i] :
              ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV24 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV341 ) @ SV623 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV746 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV862 ) @ SV1034 ) ) ) ) @ ( red @ SY3037 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hext @ SV341 @ SV862 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3726]) ).

thf(3903,plain,
    ! [SV25: $i,SV1035: $i,SV952: $i,SV863: $i,SV747: $i,SV624: $i,SV342: $i] :
      ( ( ! [SY3038: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV342 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV624 ) @ SV747 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV863 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV952 ) @ SV1035 ) ) ) ) @ ( red @ SY3038 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV342 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV624 ) @ ( map_ad325961431ar_val @ SV25 @ SV747 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV863 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV952 ) @ ( map_ad325961431ar_val @ SV25 @ SV1035 ) ) ) ) ) @ ( red @ SY3038 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3727]) ).

thf(3904,plain,
    ! [SV27: $i,SV953: $i,SV864: $i,SV749: $i,SV626: $i,SV344: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV344 ) @ SV626 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV749 ) @ SV864 ) ) ) @ ( red @ SV953 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV27 @ SV344 ) ) @ SV626 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV27 @ SV749 ) ) @ SV864 ) ) ) @ ( red @ SV953 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3729]) ).

thf(3905,plain,
    ! [SV28: $i,SV954: $i,SV865: $i,SV750: $i,SV627: $i,SV345: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV345 ) @ SV627 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV750 ) @ SV865 ) ) ) @ ( red @ SV954 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV345 @ SV28 ) ) @ SV627 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV750 @ SV28 ) ) @ SV865 ) ) ) @ ( red @ SV954 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3730]) ).

thf(3906,plain,
    ! [SV348: $i,SV31: $i,SV955: $i,SV866: $i,SV753: $i,SV630: $i] :
      ( ( ( ! [SY2980: $i] :
              ~ ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SV866 @ SV955 @ SY2980 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SV866 @ SV31 @ SV348 ) )
          | ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SV866 @ ( seq_list_char @ SV955 @ SV31 ) @ SV348 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3731]) ).

thf(3907,plain,
    ! [SV33: $i,SV956: $i,SV867: $i,SV754: $i,SV631: $i,SV349: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt_1 @ SV349 @ SV631 @ SV754 @ SV867 @ SV956 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hext @ SV631 @ SV33 ) )
          | ( hBOOL @ ( wTrt_1 @ SV349 @ SV33 @ SV754 @ SV867 @ SV956 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3732]) ).

thf(3908,plain,
    ! [SV350: $i,SV34: $i,SV632: $i] :
      ( ( ( hBOOL @ ( hext @ SV632 @ SV34 ) )
        = $false )
      | ( ( hBOOL @ ( hext @ SV350 @ SV34 ) )
        = $true )
      | ( ( hBOOL @ ( hext @ SV350 @ SV632 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3733]) ).

thf(3909,plain,
    ! [SV38: $i,SV957: $i,SV868: $i,SV755: $i,SV634: $i,SV352: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV352 ) @ SV634 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV755 ) @ SV868 ) ) ) @ ( transi2024712006on_val @ ( red @ SV957 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV352 @ SV38 ) ) @ SV634 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV755 @ SV38 ) ) @ SV868 ) ) ) @ ( transi2024712006on_val @ ( red @ SV957 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3734]) ).

thf(3910,plain,
    ! [SV39: $i,SV958: $i,SV869: $i,SV756: $i,SV635: $i,SV353: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV353 ) @ SV635 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV756 ) @ SV869 ) ) ) @ ( transi2024712006on_val @ ( red @ SV958 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV39 @ SV353 ) ) @ SV635 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV39 @ SV756 ) ) @ SV869 ) ) ) @ ( transi2024712006on_val @ ( red @ SV958 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3735]) ).

thf(3911,plain,
    ! [SV40: $i,SV1036: $i,SV959: $i,SV870: $i,SV757: $i,SV636: $i,SV354: $i] :
      ( ( ! [SY3039: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV354 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV636 ) @ SV757 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV870 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV959 ) @ SV1036 ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY3039 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV354 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV636 ) @ ( map_ad325961431ar_val @ SV40 @ SV757 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV870 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV959 ) @ ( map_ad325961431ar_val @ SV40 @ SV1036 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SY3039 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3736]) ).

thf(3912,plain,
    ! [SV637: $i,SV358: $i,SV44: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV44 ) @ SV358 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV44 ) @ SV637 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV358 ) @ SV637 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3738]) ).

thf(3913,plain,
    ! [SV638: $i,SV364: $i,SV52: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV52 ) @ SV364 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV52 ) @ SV638 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV364 ) @ SV638 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3740]) ).

thf(3914,plain,
    ! [SV365: $i,SV53: $i,SV639: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV639 ) @ SV53 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV365 ) @ SV53 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV365 ) @ SV639 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3741]) ).

thf(3915,plain,
    ! [SV640: $i,SV366: $i,SV54: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV54 ) @ SV366 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV54 ) @ SV640 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV366 ) @ SV640 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3742]) ).

thf(3916,plain,
    ! [SV367: $i,SV55: $i,SV641: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV641 ) @ SV55 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV367 ) @ SV55 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV367 ) @ SV641 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3743]) ).

thf(3917,plain,
    ! [SV368: $i,SV758: $i,SV56: $i,SV642: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV642 ) @ SV56 ) ) @ ( transi2024712006on_val @ SV758 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV368 ) @ SV56 ) ) @ ( transi2024712006on_val @ SV758 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV368 ) @ SV642 ) ) @ SV758 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3744]) ).

thf(3918,plain,
    ! [SV369: $i,SV759: $i,SV57: $i,SV643: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV643 ) @ SV57 ) ) @ SV759 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV369 ) @ SV57 ) ) @ ( transi2024712006on_val @ SV759 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV369 ) @ SV643 ) ) @ ( transi2024712006on_val @ SV759 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3745]) ).

thf(3919,plain,
    ! [SV370: $i,SV760: $i,SV58: $i,SV644: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV644 ) @ SV58 ) ) @ ( transi2024712006on_val @ SV760 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV370 ) @ SV58 ) ) @ ( transi2024712006on_val @ SV760 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV370 ) @ SV644 ) ) @ ( transi2024712006on_val @ SV760 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3746]) ).

thf(3920,plain,
    ! [SV645: $i,SV371: $i,SV61: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV61 ) @ SV371 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV61 ) @ SV645 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV371 ) @ SV645 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3747]) ).

thf(3921,plain,
    ! [SV373: $i,SV63: $i,SV646: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV646 ) @ SV63 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV373 ) @ SV63 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV373 ) @ SV646 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3749]) ).

thf(3922,plain,
    ! [SV647: $i,SV65: $i,SV375: $i] :
      ( ( ( SV375 = SV65 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV65 ) @ SV647 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV375 ) @ SV647 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3751]) ).

thf(3923,plain,
    ! [SV376: $i,SV66: $i,SV648: $i] :
      ( ( ( SV648 = SV66 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV376 ) @ SV66 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV376 ) @ SV648 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3752]) ).

thf(3924,plain,
    ! [SV377: $i,SV649: $i,SV67: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV67 ) @ SV649 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV67 ) @ SV377 ) )
        = $true )
      | ( ( SV377 = SV649 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3753]) ).

thf(3925,plain,
    ! [SV378: $i,SV68: $i,SV650: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV650 ) @ SV68 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV378 ) @ SV68 ) )
        = $true )
      | ( ( SV378 = SV650 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3754]) ).

thf(3926,plain,
    ! [SV653: $i,SV382: $i,SV72: $i,SV1037: $i,SV960: $i,SV871: $i,SV761: $i] :
      ( ( ! [SY3040: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV761 ) @ SV871 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV960 ) @ SV1037 ) ) ) @ ( red @ SY3040 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV761 @ SV72 @ SV382 @ SV653 ) ) @ SV871 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV960 @ SV72 @ SV382 @ SV653 ) ) @ SV1037 ) ) ) @ ( red @ SY3040 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3757]) ).

thf(3927,plain,
    ! [SV654: $i,SV383: $i,SV73: $i,SV1038: $i,SV961: $i,SV872: $i,SV762: $i] :
      ( ( ! [SY3041: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV762 ) @ SV872 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV961 ) @ SV1038 ) ) ) @ ( transi2024712006on_val @ ( red @ SY3041 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV762 @ SV73 @ SV383 @ SV654 ) ) @ SV872 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV961 @ SV73 @ SV383 @ SV654 ) ) @ SV1038 ) ) ) @ ( transi2024712006on_val @ ( red @ SY3041 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3758]) ).

thf(3928,plain,
    ! [SV874: $i,SV764: $i,SV657: $i,SV386: $i,SV76: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV76 ) @ SV386 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV657 ) @ SV764 ) ) ) @ ( red @ SV874 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV76 ) ) @ SV386 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV657 ) ) @ SV764 ) ) ) @ ( red @ SV874 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3759]) ).

thf(3929,plain,
    ! [SV387: $i,SV77: $i,SV1039: $i,SV962: $i,SV875: $i,SV765: $i,SV658: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV658 ) @ SV765 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV875 ) @ SV962 ) ) ) @ ( red @ SV1039 ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV658 @ SV77 @ SV387 ) ) @ SV765 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV875 @ SV77 @ SV387 ) ) @ SV962 ) ) ) @ ( red @ SV1039 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3760]) ).

thf(3930,plain,
    ! [SV876: $i,SV766: $i,SV659: $i,SV388: $i,SV78: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV78 ) @ SV388 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV659 ) @ SV766 ) ) ) @ ( transi2024712006on_val @ ( red @ SV876 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV78 ) ) @ SV388 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV659 ) ) @ SV766 ) ) ) @ ( transi2024712006on_val @ ( red @ SV876 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3761]) ).

thf(3931,plain,
    ! [SV877: $i,SV767: $i,SV660: $i,SV389: $i,SV79: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV79 ) @ SV389 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV660 ) ) @ SV767 ) ) ) @ ( transi2024712006on_val @ ( red @ SV877 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV79 ) ) @ SV389 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV660 ) ) @ SV767 ) ) ) @ ( transi2024712006on_val @ ( red @ SV877 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3762]) ).

thf(3932,plain,
    ! [SV393: $i,SV83: $i,SV1040: $i,SV964: $i,SV879: $i,SV771: $i,SV664: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV664 ) @ SV771 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV879 ) @ SV964 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1040 ) ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV664 @ SV83 @ SV393 ) ) @ SV771 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV879 @ SV83 @ SV393 ) ) @ SV964 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1040 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3764]) ).

thf(3933,plain,
    ! [SV394: $i,SV84: $i,SV1041: $i,SV965: $i,SV880: $i,SV772: $i,SV665: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV665 ) @ SV772 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV880 ) @ SV965 ) ) ) @ ( red @ SV1041 ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV665 @ SV84 @ SV394 ) ) @ SV772 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV880 @ SV84 @ SV394 ) ) @ SV965 ) ) ) @ ( red @ SV1041 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3765]) ).

thf(3934,plain,
    ! [SV666: $i,SV395: $i,SV85: $i,SV1042: $i,SV966: $i,SV881: $i,SV773: $i] :
      ( ( ! [SY3042: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV773 ) @ SV881 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV966 ) @ SV1042 ) ) ) @ ( red @ SY3042 ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV773 @ SV85 @ SV395 @ SV666 ) ) @ SV881 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV966 @ SV85 @ SV395 @ SV666 ) ) @ SV1042 ) ) ) @ ( red @ SY3042 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3766]) ).

thf(3935,plain,
    ! [SV397: $i,SV87: $i,SV1043: $i,SV967: $i,SV883: $i,SV775: $i,SV668: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV668 ) @ SV775 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV883 ) @ SV967 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1043 ) ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV668 @ SV87 @ SV397 ) ) @ SV775 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV883 @ SV87 @ SV397 ) ) @ SV967 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1043 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3767]) ).

thf(3936,plain,
    ! [SV669: $i,SV398: $i,SV88: $i,SV1044: $i,SV968: $i,SV884: $i,SV776: $i] :
      ( ( ! [SY3043: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV776 ) @ SV884 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV968 ) @ SV1044 ) ) ) @ ( transi2024712006on_val @ ( red @ SY3043 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV776 @ SV88 @ SV398 @ SV669 ) ) @ SV884 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV968 @ SV88 @ SV398 @ SV669 ) ) @ SV1044 ) ) ) @ ( transi2024712006on_val @ ( red @ SY3043 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3768]) ).

thf(3937,plain,
    ! [SV89: $i,SV969: $i,SV885: $i,SV777: $i,SV670: $i,SV399: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV399 ) @ SV670 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV777 ) @ SV885 ) ) ) @ ( red @ SV969 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV89 @ SV399 ) ) @ SV670 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV89 @ SV777 ) ) @ SV885 ) ) ) @ ( red @ SV969 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3769]) ).

thf(3938,plain,
    ! [SV91: $i,SV970: $i,SV886: $i,SV779: $i,SV672: $i,SV401: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV401 ) @ SV672 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV779 ) @ SV886 ) ) ) @ ( transi2024712006on_val @ ( red @ SV970 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV91 @ SV401 ) ) @ SV672 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV91 @ SV779 ) ) @ SV886 ) ) ) @ ( transi2024712006on_val @ ( red @ SV970 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3770]) ).

thf(3939,plain,
    ! [SV403: $i,SV93: $i,SV971: $i,SV887: $i,SV780: $i,SV673: $i] :
      ( ( ( ! [SY2995: $i] :
              ~ ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SV887 @ SV971 @ SY2995 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SV887 @ SV93 @ SV403 ) )
          | ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SV887 @ ( seq_list_char @ SV971 @ SV93 ) @ SV403 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3772]) ).

thf(3940,plain,
    ! [SV888: $i,SV781: $i,SV674: $i,SV404: $i,SV94: $i] :
      ( ( ( hBOOL @ ( wTrt_1 @ SV94 @ SV404 @ SV674 @ SV781 @ SV888 ) )
        = $false )
      | ( ( hBOOL @ ( wTrt @ SV94 @ SV404 @ SV674 @ SV781 @ SV888 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3773]) ).

thf(3941,plain,
    ! [SV889: $i,SV782: $i,SV675: $i,SV405: $i,SV95: $i] :
      ( ( ( hBOOL @ ( wTrt @ SV95 @ SV405 @ SV675 @ SV782 @ SV889 ) )
        = $false )
      | ( ( hBOOL @ ( wTrt_1 @ SV95 @ SV405 @ SV675 @ SV782 @ SV889 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3774]) ).

thf(3942,plain,
    ! [SV406: $i,SV96: $i,SV1045: $i,SV972: $i,SV890: $i,SV783: $i,SV676: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV676 ) @ SV783 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV890 ) @ SV972 ) ) ) @ ( red @ SV1045 ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV676 @ SV96 @ SV406 ) ) @ SV783 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV890 @ SV96 @ SV406 ) ) @ SV972 ) ) ) @ ( red @ SV1045 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3775]) ).

thf(3943,plain,
    ! [SV408: $i,SV98: $i,SV1046: $i,SV973: $i,SV892: $i,SV785: $i,SV678: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV678 ) @ SV785 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV892 ) @ SV973 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1046 ) ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV678 @ SV98 @ SV408 ) ) @ SV785 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV892 @ SV98 @ SV408 ) ) @ SV973 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1046 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3776]) ).

thf(3944,plain,
    ! [SV409: $i,SV99: $i,SV1047: $i,SV974: $i,SV893: $i,SV786: $i,SV679: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV679 ) @ SV786 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV893 ) @ SV974 ) ) ) @ ( red @ SV1047 ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV679 @ SV99 @ SV409 ) ) @ SV786 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV893 @ SV99 @ SV409 ) ) @ SV974 ) ) ) @ ( red @ SV1047 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3777]) ).

thf(3945,plain,
    ! [SV411: $i,SV101: $i,SV1048: $i,SV975: $i,SV895: $i,SV788: $i,SV681: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV681 ) @ SV788 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV895 ) @ SV975 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1048 ) ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV681 @ SV101 @ SV411 ) ) @ SV788 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV895 @ SV101 @ SV411 ) ) @ SV975 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1048 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3778]) ).

thf(3946,plain,
    ! [SV102: $i,SV976: $i,SV896: $i,SV789: $i,SV682: $i,SV412: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrts_1 @ SV412 @ SV682 @ SV789 @ SV896 @ SV976 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hext @ SV682 @ SV102 ) )
          | ( hBOOL @ ( wTrts_1 @ SV412 @ SV102 @ SV789 @ SV896 @ SV976 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3779]) ).

thf(3947,plain,
    ! [SV897: $i,SV790: $i,SV683: $i,SV413: $i,SV103: $i] :
      ( ( ( hBOOL @ ( wTrts @ SV103 @ SV413 @ SV683 @ SV790 @ SV897 ) )
        = $false )
      | ( ( hBOOL @ ( wTrts_1 @ SV103 @ SV413 @ SV683 @ SV790 @ SV897 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3780]) ).

thf(3948,plain,
    ! [SV898: $i,SV791: $i,SV684: $i,SV414: $i,SV104: $i] :
      ( ( ( hBOOL @ ( wTrts_1 @ SV104 @ SV414 @ SV684 @ SV791 @ SV898 ) )
        = $false )
      | ( ( hBOOL @ ( wTrts @ SV104 @ SV414 @ SV684 @ SV791 @ SV898 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3781]) ).

thf(3949,plain,
    ! [SV977: $i,SV908: $i,SV806: $i,SV704: $i,SV556: $i,SV253: $i] :
      ( ( ( ! [SY3000: $i] :
              ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV253 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV556 ) @ SV704 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV806 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV908 ) @ SV977 ) ) ) ) @ ( red @ SY3000 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ ( dom_list_char_val @ SV704 ) ) @ ( dom_list_char_val @ SV977 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3787]) ).

thf(3950,plain,
    ! [SV705: $i,SV254: $i,SV557: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV557 ) @ SV254 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_list_char_bool @ SV254 @ SV705 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_list_char_bool @ SV557 @ SV705 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3788]) ).

thf(3951,plain,
    ! [SV706: $i,SV255: $i,SV558: $i] :
      ( ( ( hBOOL @ ( hAPP_list_char_bool @ SV558 @ SV255 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_list_char_bool @ SV706 @ SV255 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV558 ) @ SV706 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3789]) ).

thf(3952,plain,
    ! [SV567: $i,SV268: $i,SV1049: $i,SV978: $i,SV909: $i,SV808: $i,SV712: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV712 ) @ SV808 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV909 ) ) @ SV978 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1049 ) ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV712 @ SV268 @ SV567 ) ) @ SV808 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV909 ) ) @ SV978 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1049 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3790]) ).

thf(3953,plain,
    ! [SV269: $i,SV979: $i,SV910: $i,SV809: $i,SV713: $i,SV568: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV568 ) @ SV713 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV809 ) ) @ SV910 ) ) ) @ ( transi2024712006on_val @ ( red @ SV979 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV269 @ SV568 ) ) @ SV713 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV809 ) ) @ SV910 ) ) ) @ ( transi2024712006on_val @ ( red @ SV979 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3791]) ).

thf(3954,plain,
    ! [SV270: $i,SV980: $i,SV911: $i,SV810: $i,SV714: $i,SV569: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV569 ) @ SV714 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV810 ) ) @ SV911 ) ) ) @ ( transi2024712006on_val @ ( red @ SV980 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV569 @ SV270 ) ) @ SV714 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV810 ) ) @ SV911 ) ) ) @ ( transi2024712006on_val @ ( red @ SV980 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3792]) ).

thf(3955,plain,
    ! [SV715: $i,SV570: $i,SV271: $i,SV1050: $i,SV981: $i,SV912: $i,SV811: $i] :
      ( ( ! [SY3044: $i] :
            ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV811 ) @ SV912 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV981 ) ) @ SV1050 ) ) ) @ ( transi2024712006on_val @ ( red @ SY3044 ) ) ) )
            | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV811 @ SV271 @ SV570 @ SV715 ) ) @ SV912 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV981 ) ) @ SV1050 ) ) ) @ ( transi2024712006on_val @ ( red @ SY3044 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3793]) ).

thf(3956,plain,
    ! [SV272: $i,SV982: $i,SV913: $i,SV812: $i,SV716: $i,SV571: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt_1 @ SV571 @ SV716 @ SV812 @ SV913 @ SV982 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( is_refT @ SV982 ) )
          | ( hBOOL @ ( wTrt_1 @ SV571 @ SV716 @ SV812 @ ( throw_list_char @ SV913 ) @ SV272 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3794]) ).

thf(3957,plain,
    ! [SV573: $i,SV274: $i,SV1051: $i,SV983: $i,SV914: $i,SV813: $i,SV718: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV718 ) @ SV813 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV914 ) ) @ SV983 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1051 ) ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV718 @ SV274 @ SV573 ) ) @ SV813 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV914 ) ) @ SV983 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1051 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3795]) ).

thf(3958,plain,
    ! [SV276: $i,SV984: $i,SV915: $i,SV814: $i,SV719: $i,SV575: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV575 ) @ SV719 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV814 ) ) @ SV915 ) ) ) @ ( transi2024712006on_val @ ( red @ SV984 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV276 @ SV575 ) ) @ SV719 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV814 ) ) @ SV915 ) ) ) @ ( transi2024712006on_val @ ( red @ SV984 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3796]) ).

thf(3959,plain,
    ! [SV277: $i,SV985: $i,SV916: $i,SV815: $i,SV720: $i,SV576: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt @ SV576 @ SV720 @ SV815 @ SV916 @ SV985 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( is_refT @ SV985 ) )
          | ( hBOOL @ ( wTrt @ SV576 @ SV720 @ SV815 @ ( throw_list_char @ SV916 ) @ SV277 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3797]) ).

thf(3960,plain,
    ! [SV284: $i,SV986: $i,SV917: $i,SV816: $i,SV721: $i,SV579: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV579 ) @ SV721 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV816 ) ) @ SV917 ) ) ) @ ( transi2024712006on_val @ ( red @ SV986 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( while_list_char @ SV579 @ SV284 ) ) @ SV721 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV816 ) ) @ SV917 ) ) ) @ ( transi2024712006on_val @ ( red @ SV986 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3798]) ).

thf(3961,plain,
    ! [SV581: $i,SV286: $i,SV1052: $i,SV987: $i,SV918: $i,SV817: $i,SV723: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV723 ) @ SV817 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV918 ) ) @ SV987 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1052 ) ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV723 @ SV286 @ SV581 ) ) @ SV817 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV918 ) ) @ SV987 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1052 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3799]) ).

thf(3962,plain,
    ! [SV724: $i,SV582: $i,SV287: $i,SV1053: $i,SV988: $i,SV919: $i,SV818: $i] :
      ( ( ~ ( hBOOL @ ( wTrt_1 @ SV818 @ SV919 @ SV988 @ SV1053 @ nt ) )
        | ( hBOOL @ ( wTrt_1 @ SV818 @ SV919 @ SV988 @ ( fAcc_list_char @ SV1053 @ SV287 @ SV582 ) @ SV724 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3800]) ).

thf(3963,plain,
    ! [SV725: $i,SV583: $i,SV288: $i,SV1054: $i,SV989: $i,SV920: $i,SV819: $i] :
      ( ( ~ ( hBOOL @ ( wTrt @ SV819 @ SV920 @ SV989 @ SV1054 @ nt ) )
        | ( hBOOL @ ( wTrt @ SV819 @ SV920 @ SV989 @ ( fAcc_list_char @ SV1054 @ SV288 @ SV583 ) @ SV725 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3801]) ).

thf(3964,plain,
    ! [SV584: $i,SV289: $i,SV1055: $i,SV990: $i,SV921: $i,SV820: $i,SV726: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV726 ) @ SV820 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV921 ) ) @ SV990 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1055 ) ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV726 @ SV289 @ SV584 ) ) @ SV820 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV921 ) ) @ SV990 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1055 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3802]) ).

thf(3965,plain,
    ! [SV585: $i,SV290: $i,SV821: $i,SV727: $i,SV1056: $i,SV991: $i,SV922: $i] :
      ( ( ! [SY3045: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SV922 @ SV991 @ SV1056 @ SY3045 @ nt ) )
            | ~ ( hBOOL @ ( wTrts_1 @ SV922 @ SV991 @ SV1056 @ SV727 @ SV821 ) )
            | ( hBOOL @ ( wTrt_1 @ SV922 @ SV991 @ SV1056 @ ( call_list_char @ SY3045 @ SV290 @ SV727 ) @ SV585 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3803]) ).

thf(3966,plain,
    ! [SV586: $i,SV291: $i,SV822: $i,SV728: $i,SV1057: $i,SV992: $i,SV923: $i] :
      ( ( ! [SY3046: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV923 @ SV992 @ SV1057 @ SY3046 @ nt ) )
            | ~ ( hBOOL @ ( wTrts @ SV923 @ SV992 @ SV1057 @ SV728 @ SV822 ) )
            | ( hBOOL @ ( wTrt @ SV923 @ SV992 @ SV1057 @ ( call_list_char @ SY3046 @ SV291 @ SV728 ) @ SV586 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3804]) ).

thf(3967,plain,
    ! [SV587: $i,SV823: $i,SV729: $i,SV294: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) @ SV823 ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3805]) ).

thf(3968,plain,
    ! [SV924: $i,SV824: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV824 ) @ SV924 ) )
        = $false )
      | ( ( ( SV924 != SV824 )
          | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV924 ) @ SV824 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3806]) ).

thf(3969,plain,
    ! [SV925: $i,SV825: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV825 ) @ SV925 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV925 ) @ SV825 ) )
          | ( SV925 = SV825 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3807]) ).

thf(3970,plain,
    ! [SV1058: $i,SV826: $i] :
      ( ( ( ! [SY3047: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV826 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1058 ) @ SY3047 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV826 @ ( sK69_X1 @ SV826 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3808]) ).

thf(3971,plain,
    ! [SV1059: $i,SV827: $i] :
      ( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV827 @ SV1059 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV827 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK67_A_1 @ SV827 ) ) @ ( sK68_SY1167 @ SV827 ) ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3809]) ).

thf(3972,plain,
    ! [SV588: $i,SV295: $i,SV993: $i,SV1060: $i] :
      ( ( ( SV1060 != SV993 )
        | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV295 @ SV993 @ SV588 ) @ SV1060 )
          = SV588 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3810]) ).

thf(3973,plain,
    ! [SV588: $i,SV295: $i,SV994: $i,SV1061: $i] :
      ( ( ( SV1061 = SV994 )
        | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV295 @ SV994 @ SV588 ) @ SV1061 )
          = ( hAPP_l207779698on_val @ SV295 @ SV1061 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3811]) ).

thf(3974,plain,
    ! [SV926: $i,SV828: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV828 ) @ SV926 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV926 @ SV828 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3812]) ).

thf(3975,plain,
    ! [SV829: $i,SV927: $i] :
      ( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV927 @ SV829 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV829 ) @ SV927 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3813]) ).

thf(3976,plain,
    ! [SV928: $i,SV830: $i,SV730: $i,SV589: $i,SV296: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) ) ) @ ( transi2024712006on_val @ SV928 ) ) )
        = $false )
      | ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 )
            = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) @ ( sK21_SY1142 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) ) ) @ SV928 ) )
              | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) @ ( sK21_SY1142 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) ) ) @ ( transi2024712006on_val @ SV928 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3814]) ).

thf(3977,plain,
    ! [SV995: $i,SV831: $i,SV731: $i,SV590: $i,SV297: $i] :
      ( ( ( hBOOL @ ( wTrt_1 @ SV297 @ SV590 @ SV731 @ ( throw_list_char @ SV831 ) @ SV995 ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( wTrt_1 @ SV297 @ SV590 @ SV731 @ SV831 @ ( sK1_T_r_1 @ SV831 @ SV731 @ SV590 @ SV297 ) ) )
              | ~ ( hBOOL @ ( is_refT @ ( sK1_T_r_1 @ SV831 @ SV731 @ SV590 @ SV297 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3815]) ).

thf(3978,plain,
    ! [SV996: $i,SV832: $i] :
      ( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV832 @ SV996 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV832 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK33_A_1 @ SV832 ) ) @ ( sK34_SY1145 @ SV832 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3816]) ).

thf(3979,plain,
    ! [SV1062: $i,SV997: $i,SV833: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV833 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV997 ) @ SV1062 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV833 @ ( sK32_X1 @ SV833 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3817]) ).

thf(3980,plain,
    ! [SV998: $i,SV929: $i,SV298: $i] :
      ( ( ( ~ ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV298 @ SV929 ) @ SV998 ) ) )
        = $true )
      | ( ( hBOOL @ ( d_list_char @ SV929 @ SV998 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3818]) ).

thf(3981,plain,
    ! [SV298: $i,SV999: $i,SV930: $i] :
      ( ( ( ~ ( hBOOL @ ( d_list_char @ SV930 @ SV999 ) ) )
        = $true )
      | ( ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV298 @ SV930 ) @ SV999 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3819]) ).

thf(3982,plain,
    ! [SV732: $i,SV591: $i,SV299: $i] :
      ( ( ~ ~ ( ~ ! [SY2655: $i] :
                    ( ! [SY2656: $i] :
                        ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2655 )
                       != ( hAPP_val_option_val @ some_val @ SY2656 ) )
                    | ( SY2655 = SV591 )
                    | ( SY2655 != SV591 ) )
              | ~ ! [SY2657: $i,SY2658: $i] :
                    ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2657 )
                     != ( hAPP_val_option_val @ some_val @ SY2658 ) )
                    | ( SY2657 = SV591 )
                    | ( ( hAPP_P2094403585on_val @ SV299 @ SY2657 )
                      = ( hAPP_val_option_val @ some_val @ SY2658 ) ) ) )
        | ~ ~ ( ~ ! [SY2659: $i,SY2660: $i] :
                    ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2659 )
                     != ( hAPP_val_option_val @ some_val @ SY2660 ) )
                    | ( SV732 = SY2660 )
                    | ( SY2659 != SV591 ) )
              | ~ ! [SY2661: $i,SY2662: $i] :
                    ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2661 )
                     != ( hAPP_val_option_val @ some_val @ SY2662 ) )
                    | ( SV732 = SY2662 )
                    | ( ( hAPP_P2094403585on_val @ SV299 @ SY2661 )
                      = ( hAPP_val_option_val @ some_val @ SY2662 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3820]) ).

thf(3983,plain,
    ! [SV299: $i,SV732: $i,SV591: $i] :
      ( ( ~ ! [SY2663: $i,SY2664: $i] :
              ( ( SY2663 != SV591 )
              | ( SV732 != SY2664 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2663 )
                = ( hAPP_val_option_val @ some_val @ SY2664 ) ) )
        | ~ ! [SY2665: $i,SY2666: $i] :
              ( ( SY2665 = SV591 )
              | ( ( hAPP_P2094403585on_val @ SV299 @ SY2665 )
               != ( hAPP_val_option_val @ some_val @ SY2666 ) )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2665 )
                = ( hAPP_val_option_val @ some_val @ SY2666 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3821]) ).

thf(3984,plain,
    ! [SV300: $i,SV1000: $i,SV931: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SV931 @ SV1000 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV300 @ SV931 ) @ SV1000 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3822]) ).

thf(3985,plain,
    ! [SV932: $i,SV1001: $i,SV300: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_list_char_bool @ SV300 @ SV1001 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV300 @ SV932 ) @ SV1001 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3823]) ).

thf(3986,plain,
    ! [SV301: $i,SV592: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( sK22_X_1 @ SV592 @ SV301 ) ) @ SV301 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( ord_le1776148979l_bool @ SV592 ) @ SV301 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3825]) ).

thf(3987,plain,
    ! [SV933: $i,SV834: $i] :
      ( ( ( SV834 = SV933 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV834 ) @ SV933 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3826]) ).

thf(3988,plain,
    ! [SV934: $i,SV835: $i] :
      ( ( ( SV835 = SV934 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV934 ) @ SV835 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3827]) ).

thf(3989,plain,
    ! [SV593: $i,SV733: $i,SV302: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV302 ) @ ( sK15_Y_1 @ SV733 @ SV593 @ SV302 ) ) ) @ SV733 ) )
          | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK15_Y_1 @ SV733 @ SV593 @ SV302 ) ) @ SV593 ) ) @ ( transi2024712006on_val @ SV733 ) ) ) )
        = $false )
      | ( ( SV302 = SV593 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV302 ) @ SV593 ) ) @ ( transi2024712006on_val @ SV733 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3828]) ).

thf(3990,plain,
    ! [SV1063: $i,SV836: $i] :
      ( ( ( ! [SY3048: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV836 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1063 ) @ SY3048 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV836 @ ( sK63_X1 @ SV836 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3829]) ).

thf(3991,plain,
    ! [SV1064: $i,SV837: $i] :
      ( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV837 @ SV1064 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV837 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK61_A_1 @ SV837 ) ) @ ( sK62_SY1165 @ SV837 ) ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3830]) ).

thf(3992,plain,
    ! [SV1065: $i,SV594: $i,SV1002: $i,SV303: $i] :
      ( ( ( SV303 != SV1002 )
        | ( SV594 != SV1065 )
        | ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1002 ) @ SV1065 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3831]) ).

thf(3993,plain,
    ! [SV594: $i,SV303: $i] :
      ( ( ~ ! [SY2327: $i] :
              ( ! [SY2328: $i] :
                  ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
                 != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2327 ) @ SY2328 ) )
              | ( SV303 = SY2327 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3832]) ).

thf(3994,plain,
    ! [SV594: $i,SV303: $i] :
      ( ( ~ ! [SY2329: $i,SY2330: $i] :
              ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
               != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2329 ) @ SY2330 ) )
              | ( SV594 = SY2330 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3832]) ).

thf(3995,plain,
    ! [SV1066: $i,SV595: $i,SV1003: $i,SV304: $i] :
      ( ( ( SV304 != SV1003 )
        | ( SV595 != SV1066 )
        | ( ( lAss_list_char @ SV304 @ SV595 )
          = ( lAss_list_char @ SV1003 @ SV1066 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3833]) ).

thf(3996,plain,
    ! [SV595: $i,SV304: $i] :
      ( ( ~ ! [SY2333: $i] :
              ( ! [SY2334: $i] :
                  ( ( lAss_list_char @ SV304 @ SV595 )
                 != ( lAss_list_char @ SY2333 @ SY2334 ) )
              | ( SV304 = SY2333 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3834]) ).

thf(3997,plain,
    ! [SV595: $i,SV304: $i] :
      ( ( ~ ! [SY2335: $i,SY2336: $i] :
              ( ( ( lAss_list_char @ SV304 @ SV595 )
               != ( lAss_list_char @ SY2335 @ SY2336 ) )
              | ( SV595 = SY2336 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3834]) ).

thf(3998,plain,
    ! [SV935: $i,SV838: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV838 ) @ SV935 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV935 ) @ SV838 ) ) )
        = $true )
      | ( ( SV838 = SV935 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3835]) ).

thf(3999,plain,
    ! [SV1067: $i] :
      ( ( ! [SY3049: $i] :
            ( ( SV1067 != SY3049 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV1067 ) @ SY3049 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3836]) ).

thf(4000,plain,
    ! [SV1068: $i] :
      ( ( ! [SY3050: $i] :
            ( ( SV1068 != SY3050 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY3050 ) @ SV1068 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3837]) ).

thf(4001,plain,
    ! [SV596: $i,SV734: $i,SV305: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV305 ) @ ( sK16_Y_1 @ SV734 @ SV596 @ SV305 ) ) ) @ ( transi2024712006on_val @ SV734 ) ) )
          | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_Y_1 @ SV734 @ SV596 @ SV305 ) ) @ SV596 ) ) @ SV734 ) ) )
        = $false )
      | ( ( SV305 = SV596 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV305 ) @ SV596 ) ) @ ( transi2024712006on_val @ SV734 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3838]) ).

thf(4002,plain,
    ! [SV306: $i,SV1004: $i,SV936: $i,SV839: $i,SV735: $i,SV597: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) @ SV1004 ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3839]) ).

thf(4003,plain,
    ! [SV1069: $i,SV598: $i,SV1005: $i,SV307: $i] :
      ( ( ( SV307 != SV1005 )
        | ( SV598 != SV1069 )
        | ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1005 ) @ SV1069 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3840]) ).

thf(4004,plain,
    ! [SV598: $i,SV307: $i] :
      ( ( ~ ! [SY2344: $i] :
              ( ! [SY2345: $i] :
                  ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
                 != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2344 ) @ SY2345 ) )
              | ( SV307 = SY2344 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3841]) ).

thf(4005,plain,
    ! [SV598: $i,SV307: $i] :
      ( ( ~ ! [SY2346: $i,SY2347: $i] :
              ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
               != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2346 ) @ SY2347 ) )
              | ( SV598 = SY2347 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3841]) ).

thf(4006,plain,
    ! [SV1070: $i,SV599: $i,SV1006: $i,SV308: $i] :
      ( ( ( SV308 != SV1006 )
        | ( SV599 != SV1070 )
        | ( ( seq_list_char @ SV308 @ SV599 )
          = ( seq_list_char @ SV1006 @ SV1070 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3842]) ).

thf(4007,plain,
    ! [SV599: $i,SV308: $i] :
      ( ( ~ ! [SY2350: $i] :
              ( ! [SY2351: $i] :
                  ( ( seq_list_char @ SV308 @ SV599 )
                 != ( seq_list_char @ SY2350 @ SY2351 ) )
              | ( SV308 = SY2350 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3843]) ).

thf(4008,plain,
    ! [SV599: $i,SV308: $i] :
      ( ( ~ ! [SY2352: $i,SY2353: $i] :
              ( ( ( seq_list_char @ SV308 @ SV599 )
               != ( seq_list_char @ SY2352 @ SY2353 ) )
              | ( SV599 = SY2353 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3843]) ).

thf(4009,plain,
    ! [SV736: $i,SV600: $i,SV309: $i] :
      ( ( ~ ~ ( ~ ! [SY2670: $i] :
                    ( ! [SY2671: $i] :
                        ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2670 )
                       != ( hAPP_val_option_val @ some_val @ SY2671 ) )
                    | ( SY2670 = SV600 )
                    | ( SY2670 != SV600 ) )
              | ~ ! [SY2672: $i,SY2673: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2672 )
                     != ( hAPP_val_option_val @ some_val @ SY2673 ) )
                    | ( SY2672 = SV600 )
                    | ( ( hAPP_l207779698on_val @ SV309 @ SY2672 )
                      = ( hAPP_val_option_val @ some_val @ SY2673 ) ) ) )
        | ~ ~ ( ~ ! [SY2674: $i,SY2675: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2674 )
                     != ( hAPP_val_option_val @ some_val @ SY2675 ) )
                    | ( SV736 = SY2675 )
                    | ( SY2674 != SV600 ) )
              | ~ ! [SY2676: $i,SY2677: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2676 )
                     != ( hAPP_val_option_val @ some_val @ SY2677 ) )
                    | ( SV736 = SY2677 )
                    | ( ( hAPP_l207779698on_val @ SV309 @ SY2676 )
                      = ( hAPP_val_option_val @ some_val @ SY2677 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3844]) ).

thf(4010,plain,
    ! [SV309: $i,SV736: $i,SV600: $i] :
      ( ( ~ ! [SY2678: $i,SY2679: $i] :
              ( ( SY2678 != SV600 )
              | ( SV736 != SY2679 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2678 )
                = ( hAPP_val_option_val @ some_val @ SY2679 ) ) )
        | ~ ! [SY2680: $i,SY2681: $i] :
              ( ( SY2680 = SV600 )
              | ( ( hAPP_l207779698on_val @ SV309 @ SY2680 )
               != ( hAPP_val_option_val @ some_val @ SY2681 ) )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2680 )
                = ( hAPP_val_option_val @ some_val @ SY2681 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3845]) ).

thf(4011,plain,
    ! [SV1071: $i] :
      ( ( ! [SY3051: $i] :
            ( ~ ( hBOOL @ SV1071 )
            | ~ ( hBOOL @ SY3051 )
            | ( ( bool @ SV1071 )
              = ( bool @ SY3051 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3846]) ).

thf(4012,plain,
    ! [SV1072: $i] :
      ( ( ! [SY3052: $i] :
            ( ( hBOOL @ SV1072 )
            | ( hBOOL @ SY3052 )
            | ( ( bool @ SV1072 )
              = ( bool @ SY3052 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3847]) ).

thf(4013,plain,
    ! [SV1073: $i] :
      ( ( ! [SY3053: $i] :
            ( ( ( bool @ SV1073 )
             != ( bool @ SY3053 ) )
            | ~ ( hBOOL @ SV1073 )
            | ( hBOOL @ SY3053 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3848]) ).

thf(4014,plain,
    ! [SV1074: $i] :
      ( ( ! [SY3054: $i] :
            ( ( ( bool @ SV1074 )
             != ( bool @ SY3054 ) )
            | ~ ( hBOOL @ SY3054 )
            | ( hBOOL @ SV1074 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3849]) ).

thf(4015,plain,
    ! [SV1007: $i,SV601: $i,SV310: $i] :
      ( ( ( ! [SY3020: $i] :
              ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV310 ) @ SV601 )
             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1007 ) @ SY3020 ) ) )
        = $true )
      | ( ( SV310 = SV1007 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3850]) ).

thf(4016,plain,
    ! [SV1075: $i,SV1008: $i,SV601: $i,SV310: $i] :
      ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV310 ) @ SV601 )
         != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1008 ) @ SV1075 ) )
        | ( SV601 = SV1075 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3851]) ).

thf(4017,plain,
    ! [SV1076: $i,SV1009: $i,SV602: $i,SV311: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV311 @ SV602 ) @ SV1009 )
         != ( hAPP_val_option_val @ some_val @ SV1076 ) )
        | ( ( hAPP_l207779698on_val @ SV602 @ SV1009 )
          = none_val )
        | ( ( hAPP_l207779698on_val @ SV602 @ SV1009 )
          = ( hAPP_val_option_val @ some_val @ SV1076 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3852]) ).

thf(4018,plain,
    ! [SV1077: $i,SV1010: $i,SV602: $i,SV311: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV311 @ SV602 ) @ SV1010 )
         != ( hAPP_val_option_val @ some_val @ SV1077 ) )
        | ( ( hAPP_l207779698on_val @ SV311 @ SV1010 )
          = ( hAPP_val_option_val @ some_val @ SV1077 ) )
        | ( ( hAPP_l207779698on_val @ SV602 @ SV1010 )
          = ( hAPP_val_option_val @ some_val @ SV1077 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3853]) ).

thf(4019,plain,
    ! [SV603: $i,SV312: $i,SV1011: $i,SV1078: $i] :
      ( ( ( SV1078 != SV1011 )
        | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV312 @ SV1011 @ SV603 ) @ SV1078 )
          = SV603 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3854]) ).

thf(4020,plain,
    ! [SV603: $i,SV312: $i,SV1012: $i,SV1079: $i] :
      ( ( ( SV1079 = SV1012 )
        | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV312 @ SV1012 @ SV603 ) @ SV1079 )
          = ( hAPP_P2094403585on_val @ SV312 @ SV1079 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3855]) ).

thf(4021,plain,
    ! [SV1013: $i,SV604: $i,SV313: $i] :
      ( ( ( ! [SY3026: $i] :
              ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV604 )
             != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1013 ) @ SY3026 ) ) )
        = $true )
      | ( ( SV313 = SV1013 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3856]) ).

thf(4022,plain,
    ! [SV1080: $i,SV1014: $i,SV604: $i,SV313: $i] :
      ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV604 )
         != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1014 ) @ SV1080 ) )
        | ( SV604 = SV1080 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3857]) ).

thf(4023,plain,
    ! [SV1081: $i,SV841: $i] :
      ( ( ( ( SV841
           != ( hAPP_val_option_val @ some_val @ SV1081 ) ) )
        = $true )
      | ( ( SV841 = none_val )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3858]) ).

thf(4024,plain,
    ! [SV605: $i,SV314: $i,SV1082: $i,SV1015: $i] :
      ( ( ( SV1015 != SV1082 )
        | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV314 @ SV1082 @ SV605 ) @ SV1015 )
          = SV605 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3859]) ).

thf(4025,plain,
    ! [SV605: $i,SV314: $i,SV1083: $i,SV1016: $i] :
      ( ( ( SV1016 = SV1083 )
        | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV314 @ SV1083 @ SV605 ) @ SV1016 )
          = ( hAPP_P2094403585on_val @ SV314 @ SV1016 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3860]) ).

thf(4026,plain,
    ! [SV842: $i,SV937: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV937 ) )
              | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV842 ) ) )
          | ~ ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV937 ) )
              | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV842 ) ) ) )
        = $false )
      | ( ( SV937 = SV842 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3861]) ).

thf(4027,plain,
    ! [SV843: $i,SV938: $i] :
      ( ( ( SV938 = SV843 )
        = $false )
      | ( ( ~ ( ~ ! [SY2965: $i,SY2966: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2965 ) @ SY2966 ) ) @ SV938 ) )
                    | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2965 ) @ SY2966 ) ) @ SV843 ) ) )
              | ~ ! [SY2967: $i,SY2968: $i] :
                    ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2967 ) @ SY2968 ) ) @ SV843 ) )
                    | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2967 ) @ SY2968 ) ) @ SV938 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3862]) ).

thf(4028,plain,
    ! [SV1017: $i,SV939: $i,SV315: $i] :
      ( ( ( ( ( fun_up204312361on_val @ SV315 @ SV939 @ SV1017 )
           != SV315 ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ SV315 @ SV939 )
          = SV1017 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3863]) ).

thf(4029,plain,
    ! [SV1018: $i,SV940: $i,SV315: $i] :
      ( ( ( ( ( hAPP_P2094403585on_val @ SV315 @ SV940 )
           != SV1018 ) )
        = $true )
      | ( ( ( fun_up204312361on_val @ SV315 @ SV940 @ SV1018 )
          = SV315 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3864]) ).

thf(4030,plain,
    ! [SV316: $i,SV1019: $i,SV941: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV941 ) @ SV1019 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV941 ) @ ( semila751111325l_bool @ SV316 @ SV1019 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3865]) ).

thf(4031,plain,
    ! [SV316: $i,SV942: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV942 ) @ SV316 ) )
        = $false )
      | ( ( ! [SY2972: $i] : ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV942 ) @ ( semila751111325l_bool @ SV316 @ SY2972 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3866]) ).

thf(4032,plain,
    ! [SV943: $i,SV844: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV844 ) @ SV943 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV943 ) @ SV844 ) ) )
        = $true )
      | ( ( SV844 = SV943 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3867]) ).

thf(4033,plain,
    ! [SV1084: $i] :
      ( ( ! [SY3055: $i] :
            ( ( SV1084 != SY3055 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV1084 ) @ SY3055 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3868]) ).

thf(4034,plain,
    ! [SV1085: $i] :
      ( ( ! [SY3056: $i] :
            ( ( SV1085 != SY3056 )
            | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SY3056 ) @ SV1085 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3869]) ).

thf(4035,plain,
    ! [SV1020: $i,SV846: $i] :
      ( ( ( SV846
          = ( hAPP_val_option_val @ some_val @ SV1020 ) )
        = $false )
      | ( ( ( SV846 != none_val ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3870]) ).

thf(4036,plain,
    ! [SV606: $i,SV317: $i,SV1086: $i,SV1021: $i] :
      ( ( ( SV1021 != SV1086 )
        | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV317 @ SV1086 @ SV606 ) @ SV1021 )
          = SV606 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3871]) ).

thf(4037,plain,
    ! [SV606: $i,SV317: $i,SV1087: $i,SV1022: $i] :
      ( ( ( SV1022 = SV1087 )
        | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV317 @ SV1087 @ SV606 ) @ SV1022 )
          = ( hAPP_l207779698on_val @ SV317 @ SV1022 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3872]) ).

thf(4038,plain,
    ! [SV318: $i,SV1023: $i,SV944: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ SV944 @ SV1023 )
           != none_val )
          | ( ( hAPP_l207779698on_val @ SV318 @ SV1023 )
           != none_val ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SV944 ) @ SV1023 )
          = none_val )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3873]) ).

thf(4039,plain,
    ! [SV318: $i] :
      ( ( ! [SY1910: $i,SY1911: $i] :
            ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SY1910 ) @ SY1911 )
             != none_val )
            | ( ( hAPP_l207779698on_val @ SY1910 @ SY1911 )
              = none_val ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3874]) ).

thf(4040,plain,
    ! [SV318: $i] :
      ( ( ! [SY1912: $i,SY1913: $i] :
            ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SY1912 ) @ SY1913 )
             != none_val )
            | ( ( hAPP_l207779698on_val @ SV318 @ SY1913 )
              = none_val ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3875]) ).

thf(4041,plain,
    ! [SV737: $i,SV847: $i,SV607: $i,SV319: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) @ ( transi2024712006on_val @ SV847 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) @ SV847 ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3876]) ).

thf(4042,plain,
    ! [SV1024: $i,SV945: $i,SV320: $i] :
      ( ( ( ( ( fun_up1149430426on_val @ SV320 @ SV945 @ SV1024 )
           != SV320 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ SV320 @ SV945 )
          = SV1024 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3877]) ).

thf(4043,plain,
    ! [SV1025: $i,SV946: $i,SV320: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ SV320 @ SV946 )
           != SV1025 ) )
        = $true )
      | ( ( ( fun_up1149430426on_val @ SV320 @ SV946 @ SV1025 )
          = SV320 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3878]) ).

thf(4044,plain,
    ! [SV1088: $i,SV848: $i] :
      ( ( ( ! [SY3057: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV848 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1088 ) @ SY3057 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV848 @ ( sK66_X1 @ SV848 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3879]) ).

thf(4045,plain,
    ! [SV1089: $i,SV849: $i] :
      ( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV849 @ SV1089 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV849 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK64_A_1 @ SV849 ) ) @ ( sK65_SY1166 @ SV849 ) ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3880]) ).

thf(4046,plain,
    ! [SV1026: $i,SV608: $i,SV321: $i] :
      ( ( ( ! [SY3032: $i] :
              ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV321 ) @ SV608 )
             != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1026 ) @ SY3032 ) ) )
        = $true )
      | ( ( SV321 = SV1026 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3881]) ).

thf(4047,plain,
    ! [SV1090: $i,SV1027: $i,SV608: $i,SV321: $i] :
      ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV321 ) @ SV608 )
         != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1027 ) @ SV1090 ) )
        | ( SV608 = SV1090 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3882]) ).

thf(4048,plain,
    ! [SV322: $i,SV1028: $i,SV947: $i,SV850: $i,SV738: $i,SV609: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ SV1028 ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3883]) ).

thf(4049,plain,
    ! [SV1029: $i,SV851: $i] :
      ( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV851 @ SV1029 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV851 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK30_A_1 @ SV851 ) ) @ ( sK31_SY1144 @ SV851 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3884]) ).

thf(4050,plain,
    ! [SV1091: $i,SV1030: $i,SV852: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV852 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1030 ) @ SV1091 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV852 @ ( sK29_X1 @ SV852 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3885]) ).

thf(4051,plain,
    ! [SV1092: $i,SV610: $i,SV1031: $i,SV323: $i] :
      ( ( ( SV323 != SV1031 )
        | ( SV610 != SV1092 )
        | ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1031 ) @ SV1092 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3886]) ).

thf(4052,plain,
    ! [SV610: $i,SV323: $i] :
      ( ( ~ ! [SY2403: $i] :
              ( ! [SY2404: $i] :
                  ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
                 != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2403 ) @ SY2404 ) )
              | ( SV323 = SY2403 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3887]) ).

thf(4053,plain,
    ! [SV610: $i,SV323: $i] :
      ( ( ~ ! [SY2405: $i,SY2406: $i] :
              ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
               != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2405 ) @ SY2406 ) )
              | ( SV610 = SY2406 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3887]) ).

thf(4054,plain,
    ! [SV948: $i,SV853: $i] :
      ( ( ( ( hAPP_val_option_val @ some_val @ SV853 )
          = ( hAPP_val_option_val @ some_val @ SV948 ) )
        = $false )
      | ( ( SV853 = SV948 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3888]) ).

thf(4055,plain,
    ! [SV949: $i,SV854: $i] :
      ( ( ( SV854 = SV949 )
        = $false )
      | ( ( ( hAPP_val_option_val @ some_val @ SV854 )
          = ( hAPP_val_option_val @ some_val @ SV949 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3889]) ).

thf(4056,plain,
    ! [SV611: $i,SV324: $i] :
      ( ( ~ ! [SY2407: $i,SY2408: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2407 )
               != ( hAPP_val_option_val @ some_val @ SY2408 ) )
              | ( ( hAPP_l207779698on_val @ SV611 @ SY2407 )
                = none_val )
              | ( ( hAPP_l207779698on_val @ SV611 @ SY2407 )
                = ( hAPP_val_option_val @ some_val @ SY2408 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3890]) ).

thf(4057,plain,
    ! [SV611: $i,SV324: $i] :
      ( ( ~ ! [SY2409: $i,SY2410: $i] :
              ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2409 )
               != ( hAPP_val_option_val @ some_val @ SY2410 ) )
              | ( ( hAPP_l207779698on_val @ SV324 @ SY2409 )
                = ( hAPP_val_option_val @ some_val @ SY2410 ) )
              | ( ( hAPP_l207779698on_val @ SV611 @ SY2409 )
                = ( hAPP_val_option_val @ some_val @ SY2410 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3890]) ).

thf(4058,plain,
    ! [SV324: $i,SV611: $i] :
      ( ( ~ ! [SY2411: $i,SY2412: $i] :
              ( ( ( hAPP_l207779698on_val @ SV611 @ SY2411 )
               != none_val )
              | ( ( hAPP_l207779698on_val @ SV324 @ SY2411 )
               != ( hAPP_val_option_val @ some_val @ SY2412 ) )
              | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2411 )
                = ( hAPP_val_option_val @ some_val @ SY2412 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3891]) ).

thf(4059,plain,
    ! [SV324: $i,SV611: $i] :
      ( ( ~ ! [SY2413: $i,SY2414: $i] :
              ( ( ( hAPP_l207779698on_val @ SV611 @ SY2413 )
               != ( hAPP_val_option_val @ some_val @ SY2414 ) )
              | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2413 )
                = ( hAPP_val_option_val @ some_val @ SY2414 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3891]) ).

thf(4060,plain,
    ! [SV950: $i,SV855: $i] :
      ( ( ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SV855 @ ( sK3_X_1 @ SV950 @ SV855 ) ) ) @ ( hAPP_list_char_bool @ SV950 @ ( sK3_X_1 @ SV950 @ SV855 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV855 ) @ SV950 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3892]) ).

thf(4061,plain,
    ! [SV951: $i,SV856: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV856 ) @ SV951 ) )
        = $false )
      | ( ( ! [SY2977: $i] : ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SV856 @ SY2977 ) ) @ ( hAPP_list_char_bool @ SV951 @ SY2977 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3893]) ).

thf(4062,plain,
    ! [SV1093: $i,SV739: $i,SV612: $i,SV325: $i] :
      ( ( ! [SY3058: $i] :
            ( ~ ( hBOOL @ ( wTrt @ SV325 @ SV612 @ SV739 @ SV1093 @ SY3058 ) )
            | ( hBOOL @ ( wTrt_1 @ SV325 @ SV612 @ SV739 @ SV1093 @ SY3058 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3894]) ).

thf(4063,plain,
    ! [SV1094: $i,SV739: $i,SV612: $i,SV325: $i] :
      ( ( ! [SY3059: $i] :
            ( ~ ( hBOOL @ ( wTrt_1 @ SV325 @ SV612 @ SV739 @ SV1094 @ SY3059 ) )
            | ( hBOOL @ ( wTrt @ SV325 @ SV612 @ SV739 @ SV1094 @ SY3059 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3895]) ).

thf(4064,plain,
    ! [SV1095: $i,SV740: $i,SV613: $i,SV326: $i] :
      ( ( ! [SY3060: $i] :
            ( ~ ( hBOOL @ ( wTrts @ SV326 @ SV613 @ SV740 @ SV1095 @ SY3060 ) )
            | ( hBOOL @ ( wTrts_1 @ SV326 @ SV613 @ SV740 @ SV1095 @ SY3060 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3896]) ).

thf(4065,plain,
    ! [SV1096: $i,SV740: $i,SV613: $i,SV326: $i] :
      ( ( ! [SY3061: $i] :
            ( ~ ( hBOOL @ ( wTrts_1 @ SV326 @ SV613 @ SV740 @ SV1096 @ SY3061 ) )
            | ( hBOOL @ ( wTrts @ SV326 @ SV613 @ SV740 @ SV1096 @ SY3061 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3897]) ).

thf(4066,plain,
    ! [SV1032: $i,SV857: $i] :
      ( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV857 @ SV1032 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV857 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK27_A_1 @ SV857 ) ) @ ( sK28_SY1143 @ SV857 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3898]) ).

thf(4067,plain,
    ! [SV1097: $i,SV1033: $i,SV858: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV858 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1033 ) @ SV1097 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV858 @ ( sK26_X1 @ SV858 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3899]) ).

thf(4068,plain,
    ! [SV1098: $i,SV1034: $i,SV862: $i,SV746: $i,SV623: $i,SV341: $i,SV24: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV24 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV341 ) @ SV623 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV746 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV862 ) @ SV1034 ) ) ) ) @ ( red @ SV1098 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hext @ SV341 @ SV862 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3902]) ).

thf(4069,plain,
    ! [SV25: $i,SV1099: $i,SV1035: $i,SV952: $i,SV863: $i,SV747: $i,SV624: $i,SV342: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV342 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV624 ) @ SV747 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV863 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV952 ) @ SV1035 ) ) ) ) @ ( red @ SV1099 ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV342 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV624 ) @ ( map_ad325961431ar_val @ SV25 @ SV747 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV863 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV952 ) @ ( map_ad325961431ar_val @ SV25 @ SV1035 ) ) ) ) ) @ ( red @ SV1099 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3903]) ).

thf(4070,plain,
    ! [SV27: $i,SV953: $i,SV864: $i,SV749: $i,SV626: $i,SV344: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV344 ) @ SV626 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV749 ) @ SV864 ) ) ) @ ( red @ SV953 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV27 @ SV344 ) ) @ SV626 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV27 @ SV749 ) ) @ SV864 ) ) ) @ ( red @ SV953 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3904]) ).

thf(4071,plain,
    ! [SV28: $i,SV954: $i,SV865: $i,SV750: $i,SV627: $i,SV345: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV345 ) @ SV627 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV750 ) @ SV865 ) ) ) @ ( red @ SV954 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV345 @ SV28 ) ) @ SV627 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV750 @ SV28 ) ) @ SV865 ) ) ) @ ( red @ SV954 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3905]) ).

thf(4072,plain,
    ! [SV348: $i,SV31: $i,SV1100: $i,SV955: $i,SV866: $i,SV753: $i,SV630: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SV866 @ SV955 @ SV1100 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SV866 @ SV31 @ SV348 ) )
          | ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SV866 @ ( seq_list_char @ SV955 @ SV31 ) @ SV348 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3906]) ).

thf(4073,plain,
    ! [SV33: $i,SV956: $i,SV867: $i,SV754: $i,SV631: $i,SV349: $i] :
      ( ( ( hBOOL @ ( wTrt_1 @ SV349 @ SV631 @ SV754 @ SV867 @ SV956 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hext @ SV631 @ SV33 ) )
          | ( hBOOL @ ( wTrt_1 @ SV349 @ SV33 @ SV754 @ SV867 @ SV956 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3907]) ).

thf(4074,plain,
    ! [SV38: $i,SV957: $i,SV868: $i,SV755: $i,SV634: $i,SV352: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV352 ) @ SV634 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV755 ) @ SV868 ) ) ) @ ( transi2024712006on_val @ ( red @ SV957 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV352 @ SV38 ) ) @ SV634 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV755 @ SV38 ) ) @ SV868 ) ) ) @ ( transi2024712006on_val @ ( red @ SV957 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3909]) ).

thf(4075,plain,
    ! [SV39: $i,SV958: $i,SV869: $i,SV756: $i,SV635: $i,SV353: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV353 ) @ SV635 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV756 ) @ SV869 ) ) ) @ ( transi2024712006on_val @ ( red @ SV958 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV39 @ SV353 ) ) @ SV635 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV39 @ SV756 ) ) @ SV869 ) ) ) @ ( transi2024712006on_val @ ( red @ SV958 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3910]) ).

thf(4076,plain,
    ! [SV40: $i,SV1101: $i,SV1036: $i,SV959: $i,SV870: $i,SV757: $i,SV636: $i,SV354: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV354 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV636 ) @ SV757 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV870 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV959 ) @ SV1036 ) ) ) ) @ ( transi2024712006on_val @ ( red @ SV1101 ) ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV354 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV636 ) @ ( map_ad325961431ar_val @ SV40 @ SV757 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV870 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV959 ) @ ( map_ad325961431ar_val @ SV40 @ SV1036 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SV1101 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3911]) ).

thf(4077,plain,
    ! [SV368: $i,SV758: $i,SV56: $i,SV642: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV642 ) @ SV56 ) ) @ ( transi2024712006on_val @ SV758 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV368 ) @ SV56 ) ) @ ( transi2024712006on_val @ SV758 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV368 ) @ SV642 ) ) @ SV758 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3917]) ).

thf(4078,plain,
    ! [SV369: $i,SV759: $i,SV57: $i,SV643: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV643 ) @ SV57 ) ) @ SV759 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV369 ) @ SV57 ) ) @ ( transi2024712006on_val @ SV759 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV369 ) @ SV643 ) ) @ ( transi2024712006on_val @ SV759 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3918]) ).

thf(4079,plain,
    ! [SV370: $i,SV760: $i,SV58: $i,SV644: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV644 ) @ SV58 ) ) @ ( transi2024712006on_val @ SV760 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV370 ) @ SV58 ) ) @ ( transi2024712006on_val @ SV760 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV370 ) @ SV644 ) ) @ ( transi2024712006on_val @ SV760 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3919]) ).

thf(4080,plain,
    ! [SV653: $i,SV382: $i,SV72: $i,SV1102: $i,SV1037: $i,SV960: $i,SV871: $i,SV761: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV761 ) @ SV871 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV960 ) @ SV1037 ) ) ) @ ( red @ SV1102 ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV761 @ SV72 @ SV382 @ SV653 ) ) @ SV871 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV960 @ SV72 @ SV382 @ SV653 ) ) @ SV1037 ) ) ) @ ( red @ SV1102 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3926]) ).

thf(4081,plain,
    ! [SV654: $i,SV383: $i,SV73: $i,SV1103: $i,SV1038: $i,SV961: $i,SV872: $i,SV762: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV762 ) @ SV872 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV961 ) @ SV1038 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1103 ) ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV762 @ SV73 @ SV383 @ SV654 ) ) @ SV872 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV961 @ SV73 @ SV383 @ SV654 ) ) @ SV1038 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1103 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3927]) ).

thf(4082,plain,
    ! [SV387: $i,SV77: $i,SV1039: $i,SV962: $i,SV875: $i,SV765: $i,SV658: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV658 ) @ SV765 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV875 ) @ SV962 ) ) ) @ ( red @ SV1039 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV658 @ SV77 @ SV387 ) ) @ SV765 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV875 @ SV77 @ SV387 ) ) @ SV962 ) ) ) @ ( red @ SV1039 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3929]) ).

thf(4083,plain,
    ! [SV393: $i,SV83: $i,SV1040: $i,SV964: $i,SV879: $i,SV771: $i,SV664: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV664 ) @ SV771 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV879 ) @ SV964 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1040 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV664 @ SV83 @ SV393 ) ) @ SV771 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV879 @ SV83 @ SV393 ) ) @ SV964 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1040 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3932]) ).

thf(4084,plain,
    ! [SV394: $i,SV84: $i,SV1041: $i,SV965: $i,SV880: $i,SV772: $i,SV665: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV665 ) @ SV772 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV880 ) @ SV965 ) ) ) @ ( red @ SV1041 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV665 @ SV84 @ SV394 ) ) @ SV772 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV880 @ SV84 @ SV394 ) ) @ SV965 ) ) ) @ ( red @ SV1041 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3933]) ).

thf(4085,plain,
    ! [SV666: $i,SV395: $i,SV85: $i,SV1104: $i,SV1042: $i,SV966: $i,SV881: $i,SV773: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV773 ) @ SV881 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV966 ) @ SV1042 ) ) ) @ ( red @ SV1104 ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV773 @ SV85 @ SV395 @ SV666 ) ) @ SV881 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV966 @ SV85 @ SV395 @ SV666 ) ) @ SV1042 ) ) ) @ ( red @ SV1104 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3934]) ).

thf(4086,plain,
    ! [SV397: $i,SV87: $i,SV1043: $i,SV967: $i,SV883: $i,SV775: $i,SV668: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV668 ) @ SV775 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV883 ) @ SV967 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1043 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV668 @ SV87 @ SV397 ) ) @ SV775 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV883 @ SV87 @ SV397 ) ) @ SV967 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1043 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3935]) ).

thf(4087,plain,
    ! [SV669: $i,SV398: $i,SV88: $i,SV1105: $i,SV1044: $i,SV968: $i,SV884: $i,SV776: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV776 ) @ SV884 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV968 ) @ SV1044 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1105 ) ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV776 @ SV88 @ SV398 @ SV669 ) ) @ SV884 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV968 @ SV88 @ SV398 @ SV669 ) ) @ SV1044 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1105 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3936]) ).

thf(4088,plain,
    ! [SV89: $i,SV969: $i,SV885: $i,SV777: $i,SV670: $i,SV399: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV399 ) @ SV670 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV777 ) @ SV885 ) ) ) @ ( red @ SV969 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV89 @ SV399 ) ) @ SV670 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV89 @ SV777 ) ) @ SV885 ) ) ) @ ( red @ SV969 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3937]) ).

thf(4089,plain,
    ! [SV91: $i,SV970: $i,SV886: $i,SV779: $i,SV672: $i,SV401: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV401 ) @ SV672 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV779 ) @ SV886 ) ) ) @ ( transi2024712006on_val @ ( red @ SV970 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV91 @ SV401 ) ) @ SV672 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV91 @ SV779 ) ) @ SV886 ) ) ) @ ( transi2024712006on_val @ ( red @ SV970 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3938]) ).

thf(4090,plain,
    ! [SV403: $i,SV93: $i,SV1106: $i,SV971: $i,SV887: $i,SV780: $i,SV673: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SV887 @ SV971 @ SV1106 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SV887 @ SV93 @ SV403 ) )
          | ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SV887 @ ( seq_list_char @ SV971 @ SV93 ) @ SV403 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3939]) ).

thf(4091,plain,
    ! [SV406: $i,SV96: $i,SV1045: $i,SV972: $i,SV890: $i,SV783: $i,SV676: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV676 ) @ SV783 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV890 ) @ SV972 ) ) ) @ ( red @ SV1045 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV676 @ SV96 @ SV406 ) ) @ SV783 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV890 @ SV96 @ SV406 ) ) @ SV972 ) ) ) @ ( red @ SV1045 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3942]) ).

thf(4092,plain,
    ! [SV408: $i,SV98: $i,SV1046: $i,SV973: $i,SV892: $i,SV785: $i,SV678: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV678 ) @ SV785 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV892 ) @ SV973 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1046 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV678 @ SV98 @ SV408 ) ) @ SV785 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV892 @ SV98 @ SV408 ) ) @ SV973 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1046 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3943]) ).

thf(4093,plain,
    ! [SV409: $i,SV99: $i,SV1047: $i,SV974: $i,SV893: $i,SV786: $i,SV679: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV679 ) @ SV786 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV893 ) @ SV974 ) ) ) @ ( red @ SV1047 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV679 @ SV99 @ SV409 ) ) @ SV786 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV893 @ SV99 @ SV409 ) ) @ SV974 ) ) ) @ ( red @ SV1047 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3944]) ).

thf(4094,plain,
    ! [SV411: $i,SV101: $i,SV1048: $i,SV975: $i,SV895: $i,SV788: $i,SV681: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV681 ) @ SV788 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV895 ) @ SV975 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1048 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV681 @ SV101 @ SV411 ) ) @ SV788 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV895 @ SV101 @ SV411 ) ) @ SV975 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1048 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3945]) ).

thf(4095,plain,
    ! [SV102: $i,SV976: $i,SV896: $i,SV789: $i,SV682: $i,SV412: $i] :
      ( ( ( hBOOL @ ( wTrts_1 @ SV412 @ SV682 @ SV789 @ SV896 @ SV976 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hext @ SV682 @ SV102 ) )
          | ( hBOOL @ ( wTrts_1 @ SV412 @ SV102 @ SV789 @ SV896 @ SV976 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3946]) ).

thf(4096,plain,
    ! [SV1107: $i,SV977: $i,SV908: $i,SV806: $i,SV704: $i,SV556: $i,SV253: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV253 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV556 ) @ SV704 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV806 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV908 ) @ SV977 ) ) ) ) @ ( red @ SV1107 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ ( dom_list_char_val @ SV704 ) ) @ ( dom_list_char_val @ SV977 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3949]) ).

thf(4097,plain,
    ! [SV567: $i,SV268: $i,SV1049: $i,SV978: $i,SV909: $i,SV808: $i,SV712: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV712 ) @ SV808 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV909 ) ) @ SV978 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1049 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV712 @ SV268 @ SV567 ) ) @ SV808 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV909 ) ) @ SV978 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1049 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3952]) ).

thf(4098,plain,
    ! [SV269: $i,SV979: $i,SV910: $i,SV809: $i,SV713: $i,SV568: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV568 ) @ SV713 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV809 ) ) @ SV910 ) ) ) @ ( transi2024712006on_val @ ( red @ SV979 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV269 @ SV568 ) ) @ SV713 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV809 ) ) @ SV910 ) ) ) @ ( transi2024712006on_val @ ( red @ SV979 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3953]) ).

thf(4099,plain,
    ! [SV270: $i,SV980: $i,SV911: $i,SV810: $i,SV714: $i,SV569: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV569 ) @ SV714 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV810 ) ) @ SV911 ) ) ) @ ( transi2024712006on_val @ ( red @ SV980 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV569 @ SV270 ) ) @ SV714 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV810 ) ) @ SV911 ) ) ) @ ( transi2024712006on_val @ ( red @ SV980 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3954]) ).

thf(4100,plain,
    ! [SV715: $i,SV570: $i,SV271: $i,SV1108: $i,SV1050: $i,SV981: $i,SV912: $i,SV811: $i] :
      ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV811 ) @ SV912 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV981 ) ) @ SV1050 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1108 ) ) ) )
        | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV811 @ SV271 @ SV570 @ SV715 ) ) @ SV912 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV981 ) ) @ SV1050 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1108 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3955]) ).

thf(4101,plain,
    ! [SV272: $i,SV982: $i,SV913: $i,SV812: $i,SV716: $i,SV571: $i] :
      ( ( ( hBOOL @ ( wTrt_1 @ SV571 @ SV716 @ SV812 @ SV913 @ SV982 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( is_refT @ SV982 ) )
          | ( hBOOL @ ( wTrt_1 @ SV571 @ SV716 @ SV812 @ ( throw_list_char @ SV913 ) @ SV272 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3956]) ).

thf(4102,plain,
    ! [SV573: $i,SV274: $i,SV1051: $i,SV983: $i,SV914: $i,SV813: $i,SV718: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV718 ) @ SV813 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV914 ) ) @ SV983 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1051 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV718 @ SV274 @ SV573 ) ) @ SV813 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV914 ) ) @ SV983 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1051 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3957]) ).

thf(4103,plain,
    ! [SV276: $i,SV984: $i,SV915: $i,SV814: $i,SV719: $i,SV575: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV575 ) @ SV719 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV814 ) ) @ SV915 ) ) ) @ ( transi2024712006on_val @ ( red @ SV984 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV276 @ SV575 ) ) @ SV719 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV814 ) ) @ SV915 ) ) ) @ ( transi2024712006on_val @ ( red @ SV984 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3958]) ).

thf(4104,plain,
    ! [SV277: $i,SV985: $i,SV916: $i,SV815: $i,SV720: $i,SV576: $i] :
      ( ( ( hBOOL @ ( wTrt @ SV576 @ SV720 @ SV815 @ SV916 @ SV985 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( is_refT @ SV985 ) )
          | ( hBOOL @ ( wTrt @ SV576 @ SV720 @ SV815 @ ( throw_list_char @ SV916 ) @ SV277 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3959]) ).

thf(4105,plain,
    ! [SV284: $i,SV986: $i,SV917: $i,SV816: $i,SV721: $i,SV579: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV579 ) @ SV721 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV816 ) ) @ SV917 ) ) ) @ ( transi2024712006on_val @ ( red @ SV986 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( while_list_char @ SV579 @ SV284 ) ) @ SV721 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV816 ) ) @ SV917 ) ) ) @ ( transi2024712006on_val @ ( red @ SV986 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3960]) ).

thf(4106,plain,
    ! [SV581: $i,SV286: $i,SV1052: $i,SV987: $i,SV918: $i,SV817: $i,SV723: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV723 ) @ SV817 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV918 ) ) @ SV987 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1052 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV723 @ SV286 @ SV581 ) ) @ SV817 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV918 ) ) @ SV987 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1052 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3961]) ).

thf(4107,plain,
    ! [SV724: $i,SV582: $i,SV287: $i,SV1053: $i,SV988: $i,SV919: $i,SV818: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt_1 @ SV818 @ SV919 @ SV988 @ SV1053 @ nt ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt_1 @ SV818 @ SV919 @ SV988 @ ( fAcc_list_char @ SV1053 @ SV287 @ SV582 ) @ SV724 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3962]) ).

thf(4108,plain,
    ! [SV725: $i,SV583: $i,SV288: $i,SV1054: $i,SV989: $i,SV920: $i,SV819: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt @ SV819 @ SV920 @ SV989 @ SV1054 @ nt ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV819 @ SV920 @ SV989 @ ( fAcc_list_char @ SV1054 @ SV288 @ SV583 ) @ SV725 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3963]) ).

thf(4109,plain,
    ! [SV584: $i,SV289: $i,SV1055: $i,SV990: $i,SV921: $i,SV820: $i,SV726: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV726 ) @ SV820 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV921 ) ) @ SV990 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1055 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV726 @ SV289 @ SV584 ) ) @ SV820 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV921 ) ) @ SV990 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1055 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3964]) ).

thf(4110,plain,
    ! [SV585: $i,SV290: $i,SV821: $i,SV727: $i,SV1109: $i,SV1056: $i,SV991: $i,SV922: $i] :
      ( ( ~ ( hBOOL @ ( wTrt_1 @ SV922 @ SV991 @ SV1056 @ SV1109 @ nt ) )
        | ~ ( hBOOL @ ( wTrts_1 @ SV922 @ SV991 @ SV1056 @ SV727 @ SV821 ) )
        | ( hBOOL @ ( wTrt_1 @ SV922 @ SV991 @ SV1056 @ ( call_list_char @ SV1109 @ SV290 @ SV727 ) @ SV585 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3965]) ).

thf(4111,plain,
    ! [SV586: $i,SV291: $i,SV822: $i,SV728: $i,SV1110: $i,SV1057: $i,SV992: $i,SV923: $i] :
      ( ( ~ ( hBOOL @ ( wTrt @ SV923 @ SV992 @ SV1057 @ SV1110 @ nt ) )
        | ~ ( hBOOL @ ( wTrts @ SV923 @ SV992 @ SV1057 @ SV728 @ SV822 ) )
        | ( hBOOL @ ( wTrt @ SV923 @ SV992 @ SV1057 @ ( call_list_char @ SV1110 @ SV291 @ SV728 ) @ SV586 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3966]) ).

thf(4112,plain,
    ! [SV587: $i,SV823: $i,SV729: $i,SV294: $i] :
      ( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) @ SV823 ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3967]) ).

thf(4113,plain,
    ! [SV824: $i,SV924: $i] :
      ( ( ( ( SV924 != SV824 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV924 ) @ SV824 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV824 ) @ SV924 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3968]) ).

thf(4114,plain,
    ! [SV825: $i,SV925: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV925 ) @ SV825 ) ) )
        = $true )
      | ( ( SV925 = SV825 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV825 ) @ SV925 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3969]) ).

thf(4115,plain,
    ! [SV1111: $i,SV1058: $i,SV826: $i] :
      ( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV826 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1058 ) @ SV1111 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV826 @ ( sK69_X1 @ SV826 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3970]) ).

thf(4116,plain,
    ! [SV588: $i,SV295: $i,SV993: $i,SV1060: $i] :
      ( ( ( ( SV1060 != SV993 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV295 @ SV993 @ SV588 ) @ SV1060 )
          = SV588 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3972]) ).

thf(4117,plain,
    ! [SV588: $i,SV295: $i,SV994: $i,SV1061: $i] :
      ( ( ( SV1061 = SV994 )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV295 @ SV994 @ SV588 ) @ SV1061 )
          = ( hAPP_l207779698on_val @ SV295 @ SV1061 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3973]) ).

thf(4118,plain,
    ! [SV928: $i,SV830: $i,SV730: $i,SV589: $i,SV296: $i] :
      ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) @ ( sK21_SY1142 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) ) ) @ SV928 ) )
              | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) @ ( sK21_SY1142 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) ) ) @ ( transi2024712006on_val @ SV928 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) ) ) @ ( transi2024712006on_val @ SV928 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3976]) ).

thf(4119,plain,
    ! [SV995: $i,SV831: $i,SV731: $i,SV590: $i,SV297: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt_1 @ SV297 @ SV590 @ SV731 @ SV831 @ ( sK1_T_r_1 @ SV831 @ SV731 @ SV590 @ SV297 ) ) )
          | ~ ( hBOOL @ ( is_refT @ ( sK1_T_r_1 @ SV831 @ SV731 @ SV590 @ SV297 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( wTrt_1 @ SV297 @ SV590 @ SV731 @ ( throw_list_char @ SV831 ) @ SV995 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3977]) ).

thf(4120,plain,
    ! [SV1062: $i,SV997: $i,SV833: $i] :
      ( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV833 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV997 ) @ SV1062 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV833 @ ( sK32_X1 @ SV833 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3979]) ).

thf(4121,plain,
    ! [SV998: $i,SV929: $i,SV298: $i] :
      ( ( ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV298 @ SV929 ) @ SV998 ) )
        = $false )
      | ( ( hBOOL @ ( d_list_char @ SV929 @ SV998 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3980]) ).

thf(4122,plain,
    ! [SV298: $i,SV999: $i,SV930: $i] :
      ( ( ( hBOOL @ ( d_list_char @ SV930 @ SV999 ) )
        = $false )
      | ( ( hBOOL @ ( d_list_char @ ( lAss_list_char @ SV298 @ SV930 ) @ SV999 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3981]) ).

thf(4123,plain,
    ! [SV732: $i,SV591: $i,SV299: $i] :
      ( ( ~ ~ ( ~ ! [SY2655: $i] :
                    ( ! [SY2656: $i] :
                        ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2655 )
                       != ( hAPP_val_option_val @ some_val @ SY2656 ) )
                    | ( SY2655 = SV591 )
                    | ( SY2655 != SV591 ) )
              | ~ ! [SY2657: $i,SY2658: $i] :
                    ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2657 )
                     != ( hAPP_val_option_val @ some_val @ SY2658 ) )
                    | ( SY2657 = SV591 )
                    | ( ( hAPP_P2094403585on_val @ SV299 @ SY2657 )
                      = ( hAPP_val_option_val @ some_val @ SY2658 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3982]) ).

thf(4124,plain,
    ! [SV732: $i,SV591: $i,SV299: $i] :
      ( ( ~ ~ ( ~ ! [SY2659: $i,SY2660: $i] :
                    ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2659 )
                     != ( hAPP_val_option_val @ some_val @ SY2660 ) )
                    | ( SV732 = SY2660 )
                    | ( SY2659 != SV591 ) )
              | ~ ! [SY2661: $i,SY2662: $i] :
                    ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2661 )
                     != ( hAPP_val_option_val @ some_val @ SY2662 ) )
                    | ( SV732 = SY2662 )
                    | ( ( hAPP_P2094403585on_val @ SV299 @ SY2661 )
                      = ( hAPP_val_option_val @ some_val @ SY2662 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3982]) ).

thf(4125,plain,
    ! [SV299: $i,SV732: $i,SV591: $i] :
      ( ( ~ ! [SY2663: $i,SY2664: $i] :
              ( ( SY2663 != SV591 )
              | ( SV732 != SY2664 )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2663 )
                = ( hAPP_val_option_val @ some_val @ SY2664 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3983]) ).

thf(4126,plain,
    ! [SV732: $i,SV299: $i,SV591: $i] :
      ( ( ~ ! [SY2665: $i,SY2666: $i] :
              ( ( SY2665 = SV591 )
              | ( ( hAPP_P2094403585on_val @ SV299 @ SY2665 )
               != ( hAPP_val_option_val @ some_val @ SY2666 ) )
              | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2665 )
                = ( hAPP_val_option_val @ some_val @ SY2666 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3983]) ).

thf(4127,plain,
    ! [SV300: $i,SV1000: $i,SV931: $i] :
      ( ( ( hBOOL @ ( hAPP_list_char_bool @ SV931 @ SV1000 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV300 @ SV931 ) @ SV1000 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3984]) ).

thf(4128,plain,
    ! [SV932: $i,SV1001: $i,SV300: $i] :
      ( ( ( hBOOL @ ( hAPP_list_char_bool @ SV300 @ SV1001 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_list_char_bool @ ( semila919158006r_bool @ SV300 @ SV932 ) @ SV1001 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3985]) ).

thf(4129,plain,
    ! [SV593: $i,SV733: $i,SV302: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV302 ) @ ( sK15_Y_1 @ SV733 @ SV593 @ SV302 ) ) ) @ SV733 ) ) )
        = $false )
      | ( ( SV302 = SV593 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV302 ) @ SV593 ) ) @ ( transi2024712006on_val @ SV733 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3989]) ).

thf(4130,plain,
    ! [SV302: $i,SV593: $i,SV733: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK15_Y_1 @ SV733 @ SV593 @ SV302 ) ) @ SV593 ) ) @ ( transi2024712006on_val @ SV733 ) ) ) )
        = $false )
      | ( ( SV302 = SV593 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV302 ) @ SV593 ) ) @ ( transi2024712006on_val @ SV733 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3989]) ).

thf(4131,plain,
    ! [SV1112: $i,SV1063: $i,SV836: $i] :
      ( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV836 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1063 ) @ SV1112 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV836 @ ( sK63_X1 @ SV836 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3990]) ).

thf(4132,plain,
    ! [SV1065: $i,SV594: $i,SV1002: $i,SV303: $i] :
      ( ( ( ( SV303 != SV1002 )
          | ( SV594 != SV1065 ) )
        = $true )
      | ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1002 ) @ SV1065 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3992]) ).

thf(4133,plain,
    ! [SV594: $i,SV303: $i] :
      ( ( ! [SY2327: $i] :
            ( ! [SY2328: $i] :
                ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
               != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2327 ) @ SY2328 ) )
            | ( SV303 = SY2327 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3993]) ).

thf(4134,plain,
    ! [SV594: $i,SV303: $i] :
      ( ( ! [SY2329: $i,SY2330: $i] :
            ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
             != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY2329 ) @ SY2330 ) )
            | ( SV594 = SY2330 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3994]) ).

thf(4135,plain,
    ! [SV1066: $i,SV595: $i,SV1003: $i,SV304: $i] :
      ( ( ( ( SV304 != SV1003 )
          | ( SV595 != SV1066 ) )
        = $true )
      | ( ( ( lAss_list_char @ SV304 @ SV595 )
          = ( lAss_list_char @ SV1003 @ SV1066 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3995]) ).

thf(4136,plain,
    ! [SV595: $i,SV304: $i] :
      ( ( ! [SY2333: $i] :
            ( ! [SY2334: $i] :
                ( ( lAss_list_char @ SV304 @ SV595 )
               != ( lAss_list_char @ SY2333 @ SY2334 ) )
            | ( SV304 = SY2333 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3996]) ).

thf(4137,plain,
    ! [SV595: $i,SV304: $i] :
      ( ( ! [SY2335: $i,SY2336: $i] :
            ( ( ( lAss_list_char @ SV304 @ SV595 )
             != ( lAss_list_char @ SY2335 @ SY2336 ) )
            | ( SV595 = SY2336 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3997]) ).

thf(4138,plain,
    ! [SV935: $i,SV838: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV838 ) @ SV935 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV935 ) @ SV838 ) ) )
        = $true )
      | ( ( SV838 = SV935 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3998]) ).

thf(4139,plain,
    ! [SV1113: $i,SV1067: $i] :
      ( ( ( SV1067 != SV1113 )
        | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV1067 ) @ SV1113 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3999]) ).

thf(4140,plain,
    ! [SV1114: $i,SV1068: $i] :
      ( ( ( SV1068 != SV1114 )
        | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV1114 ) @ SV1068 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4000]) ).

thf(4141,plain,
    ! [SV596: $i,SV734: $i,SV305: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV305 ) @ ( sK16_Y_1 @ SV734 @ SV596 @ SV305 ) ) ) @ ( transi2024712006on_val @ SV734 ) ) ) )
        = $false )
      | ( ( SV305 = SV596 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV305 ) @ SV596 ) ) @ ( transi2024712006on_val @ SV734 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4001]) ).

thf(4142,plain,
    ! [SV305: $i,SV596: $i,SV734: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_Y_1 @ SV734 @ SV596 @ SV305 ) ) @ SV596 ) ) @ SV734 ) ) )
        = $false )
      | ( ( SV305 = SV596 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV305 ) @ SV596 ) ) @ ( transi2024712006on_val @ SV734 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4001]) ).

thf(4143,plain,
    ! [SV306: $i,SV1004: $i,SV936: $i,SV839: $i,SV735: $i,SV597: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) @ SV1004 ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4002]) ).

thf(4144,plain,
    ! [SV1069: $i,SV598: $i,SV1005: $i,SV307: $i] :
      ( ( ( ( SV307 != SV1005 )
          | ( SV598 != SV1069 ) )
        = $true )
      | ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1005 ) @ SV1069 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4003]) ).

thf(4145,plain,
    ! [SV598: $i,SV307: $i] :
      ( ( ! [SY2344: $i] :
            ( ! [SY2345: $i] :
                ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
               != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2344 ) @ SY2345 ) )
            | ( SV307 = SY2344 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4004]) ).

thf(4146,plain,
    ! [SV598: $i,SV307: $i] :
      ( ( ! [SY2346: $i,SY2347: $i] :
            ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
             != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY2346 ) @ SY2347 ) )
            | ( SV598 = SY2347 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4005]) ).

thf(4147,plain,
    ! [SV1070: $i,SV599: $i,SV1006: $i,SV308: $i] :
      ( ( ( ( SV308 != SV1006 )
          | ( SV599 != SV1070 ) )
        = $true )
      | ( ( ( seq_list_char @ SV308 @ SV599 )
          = ( seq_list_char @ SV1006 @ SV1070 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4006]) ).

thf(4148,plain,
    ! [SV599: $i,SV308: $i] :
      ( ( ! [SY2350: $i] :
            ( ! [SY2351: $i] :
                ( ( seq_list_char @ SV308 @ SV599 )
               != ( seq_list_char @ SY2350 @ SY2351 ) )
            | ( SV308 = SY2350 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4007]) ).

thf(4149,plain,
    ! [SV599: $i,SV308: $i] :
      ( ( ! [SY2352: $i,SY2353: $i] :
            ( ( ( seq_list_char @ SV308 @ SV599 )
             != ( seq_list_char @ SY2352 @ SY2353 ) )
            | ( SV599 = SY2353 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4008]) ).

thf(4150,plain,
    ! [SV736: $i,SV600: $i,SV309: $i] :
      ( ( ~ ~ ( ~ ! [SY2670: $i] :
                    ( ! [SY2671: $i] :
                        ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2670 )
                       != ( hAPP_val_option_val @ some_val @ SY2671 ) )
                    | ( SY2670 = SV600 )
                    | ( SY2670 != SV600 ) )
              | ~ ! [SY2672: $i,SY2673: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2672 )
                     != ( hAPP_val_option_val @ some_val @ SY2673 ) )
                    | ( SY2672 = SV600 )
                    | ( ( hAPP_l207779698on_val @ SV309 @ SY2672 )
                      = ( hAPP_val_option_val @ some_val @ SY2673 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[4009]) ).

thf(4151,plain,
    ! [SV736: $i,SV600: $i,SV309: $i] :
      ( ( ~ ~ ( ~ ! [SY2674: $i,SY2675: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2674 )
                     != ( hAPP_val_option_val @ some_val @ SY2675 ) )
                    | ( SV736 = SY2675 )
                    | ( SY2674 != SV600 ) )
              | ~ ! [SY2676: $i,SY2677: $i] :
                    ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2676 )
                     != ( hAPP_val_option_val @ some_val @ SY2677 ) )
                    | ( SV736 = SY2677 )
                    | ( ( hAPP_l207779698on_val @ SV309 @ SY2676 )
                      = ( hAPP_val_option_val @ some_val @ SY2677 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[4009]) ).

thf(4152,plain,
    ! [SV309: $i,SV736: $i,SV600: $i] :
      ( ( ~ ! [SY2678: $i,SY2679: $i] :
              ( ( SY2678 != SV600 )
              | ( SV736 != SY2679 )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2678 )
                = ( hAPP_val_option_val @ some_val @ SY2679 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[4010]) ).

thf(4153,plain,
    ! [SV736: $i,SV309: $i,SV600: $i] :
      ( ( ~ ! [SY2680: $i,SY2681: $i] :
              ( ( SY2680 = SV600 )
              | ( ( hAPP_l207779698on_val @ SV309 @ SY2680 )
               != ( hAPP_val_option_val @ some_val @ SY2681 ) )
              | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2680 )
                = ( hAPP_val_option_val @ some_val @ SY2681 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[4010]) ).

thf(4154,plain,
    ! [SV1115: $i,SV1071: $i] :
      ( ( ~ ( hBOOL @ SV1071 )
        | ~ ( hBOOL @ SV1115 )
        | ( ( bool @ SV1071 )
          = ( bool @ SV1115 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4011]) ).

thf(4155,plain,
    ! [SV1116: $i,SV1072: $i] :
      ( ( ( hBOOL @ SV1072 )
        | ( hBOOL @ SV1116 )
        | ( ( bool @ SV1072 )
          = ( bool @ SV1116 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4012]) ).

thf(4156,plain,
    ! [SV1117: $i,SV1073: $i] :
      ( ( ( ( bool @ SV1073 )
         != ( bool @ SV1117 ) )
        | ~ ( hBOOL @ SV1073 )
        | ( hBOOL @ SV1117 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4013]) ).

thf(4157,plain,
    ! [SV1118: $i,SV1074: $i] :
      ( ( ( ( bool @ SV1074 )
         != ( bool @ SV1118 ) )
        | ~ ( hBOOL @ SV1118 )
        | ( hBOOL @ SV1074 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4014]) ).

thf(4158,plain,
    ! [SV1119: $i,SV1007: $i,SV601: $i,SV310: $i] :
      ( ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV310 ) @ SV601 )
           != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1007 ) @ SV1119 ) ) )
        = $true )
      | ( ( SV310 = SV1007 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4015]) ).

thf(4159,plain,
    ! [SV1075: $i,SV1008: $i,SV601: $i,SV310: $i] :
      ( ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV310 ) @ SV601 )
           != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1008 ) @ SV1075 ) ) )
        = $true )
      | ( ( SV601 = SV1075 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4016]) ).

thf(4160,plain,
    ! [SV1076: $i,SV1009: $i,SV602: $i,SV311: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV311 @ SV602 ) @ SV1009 )
           != ( hAPP_val_option_val @ some_val @ SV1076 ) ) )
        = $true )
      | ( ( ( ( hAPP_l207779698on_val @ SV602 @ SV1009 )
            = none_val )
          | ( ( hAPP_l207779698on_val @ SV602 @ SV1009 )
            = ( hAPP_val_option_val @ some_val @ SV1076 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4017]) ).

thf(4161,plain,
    ! [SV1077: $i,SV1010: $i,SV602: $i,SV311: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV311 @ SV602 ) @ SV1010 )
           != ( hAPP_val_option_val @ some_val @ SV1077 ) ) )
        = $true )
      | ( ( ( ( hAPP_l207779698on_val @ SV311 @ SV1010 )
            = ( hAPP_val_option_val @ some_val @ SV1077 ) )
          | ( ( hAPP_l207779698on_val @ SV602 @ SV1010 )
            = ( hAPP_val_option_val @ some_val @ SV1077 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4018]) ).

thf(4162,plain,
    ! [SV603: $i,SV312: $i,SV1011: $i,SV1078: $i] :
      ( ( ( ( SV1078 != SV1011 ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV312 @ SV1011 @ SV603 ) @ SV1078 )
          = SV603 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4019]) ).

thf(4163,plain,
    ! [SV603: $i,SV312: $i,SV1012: $i,SV1079: $i] :
      ( ( ( SV1079 = SV1012 )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV312 @ SV1012 @ SV603 ) @ SV1079 )
          = ( hAPP_P2094403585on_val @ SV312 @ SV1079 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4020]) ).

thf(4164,plain,
    ! [SV1120: $i,SV1013: $i,SV604: $i,SV313: $i] :
      ( ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV604 )
           != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1013 ) @ SV1120 ) ) )
        = $true )
      | ( ( SV313 = SV1013 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4021]) ).

thf(4165,plain,
    ! [SV1080: $i,SV1014: $i,SV604: $i,SV313: $i] :
      ( ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV604 )
           != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1014 ) @ SV1080 ) ) )
        = $true )
      | ( ( SV604 = SV1080 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4022]) ).

thf(4166,plain,
    ! [SV1081: $i,SV841: $i] :
      ( ( ( SV841
          = ( hAPP_val_option_val @ some_val @ SV1081 ) )
        = $false )
      | ( ( SV841 = none_val )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4023]) ).

thf(4167,plain,
    ! [SV605: $i,SV314: $i,SV1082: $i,SV1015: $i] :
      ( ( ( ( SV1015 != SV1082 ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV314 @ SV1082 @ SV605 ) @ SV1015 )
          = SV605 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4024]) ).

thf(4168,plain,
    ! [SV605: $i,SV314: $i,SV1083: $i,SV1016: $i] :
      ( ( ( SV1016 = SV1083 )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV314 @ SV1083 @ SV605 ) @ SV1016 )
          = ( hAPP_P2094403585on_val @ SV314 @ SV1016 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4025]) ).

thf(4169,plain,
    ! [SV842: $i,SV937: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV937 ) )
              | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV842 ) ) ) )
        = $false )
      | ( ( SV937 = SV842 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4026]) ).

thf(4170,plain,
    ! [SV842: $i,SV937: $i] :
      ( ( ( ~ ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV937 ) )
              | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV842 ) ) ) )
        = $false )
      | ( ( SV937 = SV842 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4026]) ).

thf(4171,plain,
    ! [SV843: $i,SV938: $i] :
      ( ( ( ~ ! [SY2965: $i,SY2966: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2965 ) @ SY2966 ) ) @ SV938 ) )
                | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2965 ) @ SY2966 ) ) @ SV843 ) ) )
          | ~ ! [SY2967: $i,SY2968: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2967 ) @ SY2968 ) ) @ SV843 ) )
                | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2967 ) @ SY2968 ) ) @ SV938 ) ) ) )
        = $false )
      | ( ( SV938 = SV843 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4027]) ).

thf(4172,plain,
    ! [SV1017: $i,SV939: $i,SV315: $i] :
      ( ( ( ( fun_up204312361on_val @ SV315 @ SV939 @ SV1017 )
          = SV315 )
        = $false )
      | ( ( ( hAPP_P2094403585on_val @ SV315 @ SV939 )
          = SV1017 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4028]) ).

thf(4173,plain,
    ! [SV1018: $i,SV940: $i,SV315: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ SV315 @ SV940 )
          = SV1018 )
        = $false )
      | ( ( ( fun_up204312361on_val @ SV315 @ SV940 @ SV1018 )
          = SV315 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4029]) ).

thf(4174,plain,
    ! [SV316: $i,SV1019: $i,SV941: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV941 ) @ SV1019 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV941 ) @ ( semila751111325l_bool @ SV316 @ SV1019 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4030]) ).

thf(4175,plain,
    ! [SV1121: $i,SV316: $i,SV942: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV942 ) @ ( semila751111325l_bool @ SV316 @ SV1121 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ SV942 ) @ SV316 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4031]) ).

thf(4176,plain,
    ! [SV943: $i,SV844: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV844 ) @ SV943 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV943 ) @ SV844 ) ) )
        = $true )
      | ( ( SV844 = SV943 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4032]) ).

thf(4177,plain,
    ! [SV1122: $i,SV1084: $i] :
      ( ( ( SV1084 != SV1122 )
        | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV1084 ) @ SV1122 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4033]) ).

thf(4178,plain,
    ! [SV1123: $i,SV1085: $i] :
      ( ( ( SV1085 != SV1123 )
        | ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV1123 ) @ SV1085 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4034]) ).

thf(4179,plain,
    ! [SV1020: $i,SV846: $i] :
      ( ( ( SV846 = none_val )
        = $false )
      | ( ( SV846
          = ( hAPP_val_option_val @ some_val @ SV1020 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4035]) ).

thf(4180,plain,
    ! [SV606: $i,SV317: $i,SV1086: $i,SV1021: $i] :
      ( ( ( ( SV1021 != SV1086 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV317 @ SV1086 @ SV606 ) @ SV1021 )
          = SV606 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4036]) ).

thf(4181,plain,
    ! [SV606: $i,SV317: $i,SV1087: $i,SV1022: $i] :
      ( ( ( SV1022 = SV1087 )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV317 @ SV1087 @ SV606 ) @ SV1022 )
          = ( hAPP_l207779698on_val @ SV317 @ SV1022 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4037]) ).

thf(4182,plain,
    ! [SV318: $i,SV1023: $i,SV944: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ SV944 @ SV1023 )
           != none_val ) )
        = $true )
      | ( ( ( ( hAPP_l207779698on_val @ SV318 @ SV1023 )
           != none_val ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SV944 ) @ SV1023 )
          = none_val )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4038]) ).

thf(4183,plain,
    ! [SV1124: $i,SV318: $i] :
      ( ( ! [SY3062: $i] :
            ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SV1124 ) @ SY3062 )
             != none_val )
            | ( ( hAPP_l207779698on_val @ SV1124 @ SY3062 )
              = none_val ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4039]) ).

thf(4184,plain,
    ! [SV1125: $i,SV318: $i] :
      ( ( ! [SY3063: $i] :
            ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SV1125 ) @ SY3063 )
             != none_val )
            | ( ( hAPP_l207779698on_val @ SV318 @ SY3063 )
              = none_val ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4040]) ).

thf(4185,plain,
    ! [SV737: $i,SV847: $i,SV607: $i,SV319: $i] :
      ( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) @ ( transi2024712006on_val @ SV847 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) @ SV847 ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4041]) ).

thf(4186,plain,
    ! [SV1024: $i,SV945: $i,SV320: $i] :
      ( ( ( ( fun_up1149430426on_val @ SV320 @ SV945 @ SV1024 )
          = SV320 )
        = $false )
      | ( ( ( hAPP_l207779698on_val @ SV320 @ SV945 )
          = SV1024 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4042]) ).

thf(4187,plain,
    ! [SV1025: $i,SV946: $i,SV320: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV320 @ SV946 )
          = SV1025 )
        = $false )
      | ( ( ( fun_up1149430426on_val @ SV320 @ SV946 @ SV1025 )
          = SV320 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4043]) ).

thf(4188,plain,
    ! [SV1126: $i,SV1088: $i,SV848: $i] :
      ( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV848 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1088 ) @ SV1126 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV848 @ ( sK66_X1 @ SV848 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4044]) ).

thf(4189,plain,
    ! [SV1127: $i,SV1026: $i,SV608: $i,SV321: $i] :
      ( ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV321 ) @ SV608 )
           != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1026 ) @ SV1127 ) ) )
        = $true )
      | ( ( SV321 = SV1026 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4046]) ).

thf(4190,plain,
    ! [SV1090: $i,SV1027: $i,SV608: $i,SV321: $i] :
      ( ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV321 ) @ SV608 )
           != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1027 ) @ SV1090 ) ) )
        = $true )
      | ( ( SV608 = SV1090 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4047]) ).

thf(4191,plain,
    ! [SV322: $i,SV1028: $i,SV947: $i,SV850: $i,SV738: $i,SV609: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
          | ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ SV1028 ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4048]) ).

thf(4192,plain,
    ! [SV1091: $i,SV1030: $i,SV852: $i] :
      ( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV852 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1030 ) @ SV1091 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV852 @ ( sK29_X1 @ SV852 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4050]) ).

thf(4193,plain,
    ! [SV1092: $i,SV610: $i,SV1031: $i,SV323: $i] :
      ( ( ( ( SV323 != SV1031 )
          | ( SV610 != SV1092 ) )
        = $true )
      | ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1031 ) @ SV1092 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4051]) ).

thf(4194,plain,
    ! [SV610: $i,SV323: $i] :
      ( ( ! [SY2403: $i] :
            ( ! [SY2404: $i] :
                ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
               != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2403 ) @ SY2404 ) )
            | ( SV323 = SY2403 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4052]) ).

thf(4195,plain,
    ! [SV610: $i,SV323: $i] :
      ( ( ! [SY2405: $i,SY2406: $i] :
            ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2405 ) @ SY2406 ) )
            | ( SV610 = SY2406 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4053]) ).

thf(4196,plain,
    ! [SV611: $i,SV324: $i] :
      ( ( ! [SY2407: $i,SY2408: $i] :
            ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2407 )
             != ( hAPP_val_option_val @ some_val @ SY2408 ) )
            | ( ( hAPP_l207779698on_val @ SV611 @ SY2407 )
              = none_val )
            | ( ( hAPP_l207779698on_val @ SV611 @ SY2407 )
              = ( hAPP_val_option_val @ some_val @ SY2408 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4056]) ).

thf(4197,plain,
    ! [SV611: $i,SV324: $i] :
      ( ( ! [SY2409: $i,SY2410: $i] :
            ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2409 )
             != ( hAPP_val_option_val @ some_val @ SY2410 ) )
            | ( ( hAPP_l207779698on_val @ SV324 @ SY2409 )
              = ( hAPP_val_option_val @ some_val @ SY2410 ) )
            | ( ( hAPP_l207779698on_val @ SV611 @ SY2409 )
              = ( hAPP_val_option_val @ some_val @ SY2410 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4057]) ).

thf(4198,plain,
    ! [SV324: $i,SV611: $i] :
      ( ( ! [SY2411: $i,SY2412: $i] :
            ( ( ( hAPP_l207779698on_val @ SV611 @ SY2411 )
             != none_val )
            | ( ( hAPP_l207779698on_val @ SV324 @ SY2411 )
             != ( hAPP_val_option_val @ some_val @ SY2412 ) )
            | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2411 )
              = ( hAPP_val_option_val @ some_val @ SY2412 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4058]) ).

thf(4199,plain,
    ! [SV324: $i,SV611: $i] :
      ( ( ! [SY2413: $i,SY2414: $i] :
            ( ( ( hAPP_l207779698on_val @ SV611 @ SY2413 )
             != ( hAPP_val_option_val @ some_val @ SY2414 ) )
            | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SY2413 )
              = ( hAPP_val_option_val @ some_val @ SY2414 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4059]) ).

thf(4200,plain,
    ! [SV951: $i,SV1128: $i,SV856: $i] :
      ( ( ( hBOOL @ ( hAPP_bool_bool @ ( ord_less_eq_bool @ ( hAPP_list_char_bool @ SV856 @ SV1128 ) ) @ ( hAPP_list_char_bool @ SV951 @ SV1128 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV856 ) @ SV951 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4061]) ).

thf(4201,plain,
    ! [SV1129: $i,SV1093: $i,SV739: $i,SV612: $i,SV325: $i] :
      ( ( ~ ( hBOOL @ ( wTrt @ SV325 @ SV612 @ SV739 @ SV1093 @ SV1129 ) )
        | ( hBOOL @ ( wTrt_1 @ SV325 @ SV612 @ SV739 @ SV1093 @ SV1129 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4062]) ).

thf(4202,plain,
    ! [SV1130: $i,SV1094: $i,SV739: $i,SV612: $i,SV325: $i] :
      ( ( ~ ( hBOOL @ ( wTrt_1 @ SV325 @ SV612 @ SV739 @ SV1094 @ SV1130 ) )
        | ( hBOOL @ ( wTrt @ SV325 @ SV612 @ SV739 @ SV1094 @ SV1130 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4063]) ).

thf(4203,plain,
    ! [SV1131: $i,SV1095: $i,SV740: $i,SV613: $i,SV326: $i] :
      ( ( ~ ( hBOOL @ ( wTrts @ SV326 @ SV613 @ SV740 @ SV1095 @ SV1131 ) )
        | ( hBOOL @ ( wTrts_1 @ SV326 @ SV613 @ SV740 @ SV1095 @ SV1131 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4064]) ).

thf(4204,plain,
    ! [SV1132: $i,SV1096: $i,SV740: $i,SV613: $i,SV326: $i] :
      ( ( ~ ( hBOOL @ ( wTrts_1 @ SV326 @ SV613 @ SV740 @ SV1096 @ SV1132 ) )
        | ( hBOOL @ ( wTrts @ SV326 @ SV613 @ SV740 @ SV1096 @ SV1132 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4065]) ).

thf(4205,plain,
    ! [SV1097: $i,SV1033: $i,SV858: $i] :
      ( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV858 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1033 ) @ SV1097 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV858 @ ( sK26_X1 @ SV858 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4067]) ).

thf(4206,plain,
    ! [SV1098: $i,SV1034: $i,SV862: $i,SV746: $i,SV623: $i,SV341: $i,SV24: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV24 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV341 ) @ SV623 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV746 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV862 ) @ SV1034 ) ) ) ) @ ( red @ SV1098 ) ) )
        = $false )
      | ( ( hBOOL @ ( hext @ SV341 @ SV862 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4068]) ).

thf(4207,plain,
    ! [SV25: $i,SV1099: $i,SV1035: $i,SV952: $i,SV863: $i,SV747: $i,SV624: $i,SV342: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV342 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV624 ) @ SV747 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV863 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV952 ) @ SV1035 ) ) ) ) @ ( red @ SV1099 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV342 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV624 ) @ ( map_ad325961431ar_val @ SV25 @ SV747 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV863 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV952 ) @ ( map_ad325961431ar_val @ SV25 @ SV1035 ) ) ) ) ) @ ( red @ SV1099 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4069]) ).

thf(4208,plain,
    ! [SV348: $i,SV31: $i,SV1100: $i,SV955: $i,SV866: $i,SV753: $i,SV630: $i] :
      ( ( ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SV866 @ SV955 @ SV1100 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SV866 @ SV31 @ SV348 ) )
          | ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SV866 @ ( seq_list_char @ SV955 @ SV31 ) @ SV348 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4072]) ).

thf(4209,plain,
    ! [SV956: $i,SV867: $i,SV754: $i,SV349: $i,SV33: $i,SV631: $i] :
      ( ( ( ~ ( hBOOL @ ( hext @ SV631 @ SV33 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt_1 @ SV349 @ SV33 @ SV754 @ SV867 @ SV956 ) )
        = $true )
      | ( ( hBOOL @ ( wTrt_1 @ SV349 @ SV631 @ SV754 @ SV867 @ SV956 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4073]) ).

thf(4210,plain,
    ! [SV40: $i,SV1101: $i,SV1036: $i,SV959: $i,SV870: $i,SV757: $i,SV636: $i,SV354: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV354 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV636 ) @ SV757 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV870 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV959 ) @ SV1036 ) ) ) ) @ ( transi2024712006on_val @ ( red @ SV1101 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV354 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV636 ) @ ( map_ad325961431ar_val @ SV40 @ SV757 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV870 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV959 ) @ ( map_ad325961431ar_val @ SV40 @ SV1036 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SV1101 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4076]) ).

thf(4211,plain,
    ! [SV653: $i,SV382: $i,SV72: $i,SV1102: $i,SV1037: $i,SV960: $i,SV871: $i,SV761: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV761 ) @ SV871 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV960 ) @ SV1037 ) ) ) @ ( red @ SV1102 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV761 @ SV72 @ SV382 @ SV653 ) ) @ SV871 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV960 @ SV72 @ SV382 @ SV653 ) ) @ SV1037 ) ) ) @ ( red @ SV1102 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4080]) ).

thf(4212,plain,
    ! [SV654: $i,SV383: $i,SV73: $i,SV1103: $i,SV1038: $i,SV961: $i,SV872: $i,SV762: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV762 ) @ SV872 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV961 ) @ SV1038 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1103 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV762 @ SV73 @ SV383 @ SV654 ) ) @ SV872 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV961 @ SV73 @ SV383 @ SV654 ) ) @ SV1038 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1103 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4081]) ).

thf(4213,plain,
    ! [SV387: $i,SV77: $i,SV1039: $i,SV962: $i,SV875: $i,SV765: $i,SV658: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV658 ) @ SV765 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV875 ) @ SV962 ) ) ) @ ( red @ SV1039 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV658 @ SV77 @ SV387 ) ) @ SV765 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV875 @ SV77 @ SV387 ) ) @ SV962 ) ) ) @ ( red @ SV1039 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4082]) ).

thf(4214,plain,
    ! [SV393: $i,SV83: $i,SV1040: $i,SV964: $i,SV879: $i,SV771: $i,SV664: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV664 ) @ SV771 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV879 ) @ SV964 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1040 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV664 @ SV83 @ SV393 ) ) @ SV771 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV879 @ SV83 @ SV393 ) ) @ SV964 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1040 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4083]) ).

thf(4215,plain,
    ! [SV394: $i,SV84: $i,SV1041: $i,SV965: $i,SV880: $i,SV772: $i,SV665: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV665 ) @ SV772 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV880 ) @ SV965 ) ) ) @ ( red @ SV1041 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV665 @ SV84 @ SV394 ) ) @ SV772 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV880 @ SV84 @ SV394 ) ) @ SV965 ) ) ) @ ( red @ SV1041 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4084]) ).

thf(4216,plain,
    ! [SV666: $i,SV395: $i,SV85: $i,SV1104: $i,SV1042: $i,SV966: $i,SV881: $i,SV773: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV773 ) @ SV881 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV966 ) @ SV1042 ) ) ) @ ( red @ SV1104 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV773 @ SV85 @ SV395 @ SV666 ) ) @ SV881 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV966 @ SV85 @ SV395 @ SV666 ) ) @ SV1042 ) ) ) @ ( red @ SV1104 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4085]) ).

thf(4217,plain,
    ! [SV397: $i,SV87: $i,SV1043: $i,SV967: $i,SV883: $i,SV775: $i,SV668: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV668 ) @ SV775 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV883 ) @ SV967 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1043 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV668 @ SV87 @ SV397 ) ) @ SV775 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV883 @ SV87 @ SV397 ) ) @ SV967 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1043 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4086]) ).

thf(4218,plain,
    ! [SV669: $i,SV398: $i,SV88: $i,SV1105: $i,SV1044: $i,SV968: $i,SV884: $i,SV776: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV776 ) @ SV884 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV968 ) @ SV1044 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1105 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV776 @ SV88 @ SV398 @ SV669 ) ) @ SV884 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV968 @ SV88 @ SV398 @ SV669 ) ) @ SV1044 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1105 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4087]) ).

thf(4219,plain,
    ! [SV403: $i,SV93: $i,SV1106: $i,SV971: $i,SV887: $i,SV780: $i,SV673: $i] :
      ( ( ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SV887 @ SV971 @ SV1106 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SV887 @ SV93 @ SV403 ) )
          | ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SV887 @ ( seq_list_char @ SV971 @ SV93 ) @ SV403 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4090]) ).

thf(4220,plain,
    ! [SV406: $i,SV96: $i,SV1045: $i,SV972: $i,SV890: $i,SV783: $i,SV676: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV676 ) @ SV783 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV890 ) @ SV972 ) ) ) @ ( red @ SV1045 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV676 @ SV96 @ SV406 ) ) @ SV783 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV890 @ SV96 @ SV406 ) ) @ SV972 ) ) ) @ ( red @ SV1045 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4091]) ).

thf(4221,plain,
    ! [SV408: $i,SV98: $i,SV1046: $i,SV973: $i,SV892: $i,SV785: $i,SV678: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV678 ) @ SV785 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV892 ) @ SV973 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1046 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV678 @ SV98 @ SV408 ) ) @ SV785 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV892 @ SV98 @ SV408 ) ) @ SV973 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1046 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4092]) ).

thf(4222,plain,
    ! [SV409: $i,SV99: $i,SV1047: $i,SV974: $i,SV893: $i,SV786: $i,SV679: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV679 ) @ SV786 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV893 ) @ SV974 ) ) ) @ ( red @ SV1047 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV679 @ SV99 @ SV409 ) ) @ SV786 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV893 @ SV99 @ SV409 ) ) @ SV974 ) ) ) @ ( red @ SV1047 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4093]) ).

thf(4223,plain,
    ! [SV411: $i,SV101: $i,SV1048: $i,SV975: $i,SV895: $i,SV788: $i,SV681: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV681 ) @ SV788 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV895 ) @ SV975 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1048 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV681 @ SV101 @ SV411 ) ) @ SV788 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV895 @ SV101 @ SV411 ) ) @ SV975 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1048 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4094]) ).

thf(4224,plain,
    ! [SV976: $i,SV896: $i,SV789: $i,SV412: $i,SV102: $i,SV682: $i] :
      ( ( ( ~ ( hBOOL @ ( hext @ SV682 @ SV102 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrts_1 @ SV412 @ SV102 @ SV789 @ SV896 @ SV976 ) )
        = $true )
      | ( ( hBOOL @ ( wTrts_1 @ SV412 @ SV682 @ SV789 @ SV896 @ SV976 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4095]) ).

thf(4225,plain,
    ! [SV1107: $i,SV977: $i,SV908: $i,SV806: $i,SV704: $i,SV556: $i,SV253: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV253 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV556 ) @ SV704 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV806 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV908 ) @ SV977 ) ) ) ) @ ( red @ SV1107 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ ( dom_list_char_val @ SV704 ) ) @ ( dom_list_char_val @ SV977 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4096]) ).

thf(4226,plain,
    ! [SV567: $i,SV268: $i,SV1049: $i,SV978: $i,SV909: $i,SV808: $i,SV712: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV712 ) @ SV808 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV909 ) ) @ SV978 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1049 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV712 @ SV268 @ SV567 ) ) @ SV808 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV909 ) ) @ SV978 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1049 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4097]) ).

thf(4227,plain,
    ! [SV715: $i,SV570: $i,SV271: $i,SV1108: $i,SV1050: $i,SV981: $i,SV912: $i,SV811: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV811 ) @ SV912 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV981 ) ) @ SV1050 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1108 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV811 @ SV271 @ SV570 @ SV715 ) ) @ SV912 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV981 ) ) @ SV1050 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1108 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4100]) ).

thf(4228,plain,
    ! [SV272: $i,SV913: $i,SV812: $i,SV716: $i,SV571: $i,SV982: $i] :
      ( ( ( ~ ( hBOOL @ ( is_refT @ SV982 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt_1 @ SV571 @ SV716 @ SV812 @ ( throw_list_char @ SV913 ) @ SV272 ) )
        = $true )
      | ( ( hBOOL @ ( wTrt_1 @ SV571 @ SV716 @ SV812 @ SV913 @ SV982 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4101]) ).

thf(4229,plain,
    ! [SV573: $i,SV274: $i,SV1051: $i,SV983: $i,SV914: $i,SV813: $i,SV718: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV718 ) @ SV813 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV914 ) ) @ SV983 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1051 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV718 @ SV274 @ SV573 ) ) @ SV813 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV914 ) ) @ SV983 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1051 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4102]) ).

thf(4230,plain,
    ! [SV277: $i,SV916: $i,SV815: $i,SV720: $i,SV576: $i,SV985: $i] :
      ( ( ( ~ ( hBOOL @ ( is_refT @ SV985 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV576 @ SV720 @ SV815 @ ( throw_list_char @ SV916 ) @ SV277 ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV576 @ SV720 @ SV815 @ SV916 @ SV985 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4104]) ).

thf(4231,plain,
    ! [SV581: $i,SV286: $i,SV1052: $i,SV987: $i,SV918: $i,SV817: $i,SV723: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV723 ) @ SV817 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV918 ) ) @ SV987 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1052 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cond_list_char @ SV723 @ SV286 @ SV581 ) ) @ SV817 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV918 ) ) @ SV987 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1052 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4106]) ).

thf(4232,plain,
    ! [SV724: $i,SV582: $i,SV287: $i,SV1053: $i,SV988: $i,SV919: $i,SV818: $i] :
      ( ( ( hBOOL @ ( wTrt_1 @ SV818 @ SV919 @ SV988 @ SV1053 @ nt ) )
        = $false )
      | ( ( hBOOL @ ( wTrt_1 @ SV818 @ SV919 @ SV988 @ ( fAcc_list_char @ SV1053 @ SV287 @ SV582 ) @ SV724 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4107]) ).

thf(4233,plain,
    ! [SV725: $i,SV583: $i,SV288: $i,SV1054: $i,SV989: $i,SV920: $i,SV819: $i] :
      ( ( ( hBOOL @ ( wTrt @ SV819 @ SV920 @ SV989 @ SV1054 @ nt ) )
        = $false )
      | ( ( hBOOL @ ( wTrt @ SV819 @ SV920 @ SV989 @ ( fAcc_list_char @ SV1054 @ SV288 @ SV583 ) @ SV725 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4108]) ).

thf(4234,plain,
    ! [SV584: $i,SV289: $i,SV1055: $i,SV990: $i,SV921: $i,SV820: $i,SV726: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV726 ) @ SV820 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV921 ) ) @ SV990 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1055 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( call_list_char @ SV726 @ SV289 @ SV584 ) ) @ SV820 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV921 ) ) @ SV990 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1055 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4109]) ).

thf(4235,plain,
    ! [SV585: $i,SV290: $i,SV821: $i,SV727: $i,SV1109: $i,SV1056: $i,SV991: $i,SV922: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt_1 @ SV922 @ SV991 @ SV1056 @ SV1109 @ nt ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( wTrts_1 @ SV922 @ SV991 @ SV1056 @ SV727 @ SV821 ) )
          | ( hBOOL @ ( wTrt_1 @ SV922 @ SV991 @ SV1056 @ ( call_list_char @ SV1109 @ SV290 @ SV727 ) @ SV585 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4110]) ).

thf(4236,plain,
    ! [SV586: $i,SV291: $i,SV822: $i,SV728: $i,SV1110: $i,SV1057: $i,SV992: $i,SV923: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt @ SV923 @ SV992 @ SV1057 @ SV1110 @ nt ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( wTrts @ SV923 @ SV992 @ SV1057 @ SV728 @ SV822 ) )
          | ( hBOOL @ ( wTrt @ SV923 @ SV992 @ SV1057 @ ( call_list_char @ SV1110 @ SV291 @ SV728 ) @ SV586 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4111]) ).

thf(4237,plain,
    ! [SV294: $i,SV587: $i,SV729: $i,SV823: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) @ SV823 ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4112]) ).

thf(4238,plain,
    ! [SV824: $i,SV924: $i] :
      ( ( ( SV924 = SV824 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV924 ) @ SV824 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV824 ) @ SV924 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4113]) ).

thf(4239,plain,
    ! [SV825: $i,SV925: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV925 ) @ SV825 ) )
        = $false )
      | ( ( SV925 = SV825 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV825 ) @ SV925 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4114]) ).

thf(4240,plain,
    ! [SV588: $i,SV295: $i,SV993: $i,SV1060: $i] :
      ( ( ( SV1060 = SV993 )
        = $false )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV295 @ SV993 @ SV588 ) @ SV1060 )
          = SV588 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4116]) ).

thf(4241,plain,
    ! [SV730: $i,SV830: $i,SV928: $i,SV589: $i,SV296: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) @ ( sK21_SY1142 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) ) ) @ SV928 ) )
          | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) @ ( sK21_SY1142 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) ) ) @ ( transi2024712006on_val @ SV928 ) ) ) )
        = $false )
      | ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) ) ) @ ( transi2024712006on_val @ SV928 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4118]) ).

thf(4242,plain,
    ! [SV995: $i,SV831: $i,SV731: $i,SV590: $i,SV297: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt_1 @ SV297 @ SV590 @ SV731 @ SV831 @ ( sK1_T_r_1 @ SV831 @ SV731 @ SV590 @ SV297 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( wTrt_1 @ SV297 @ SV590 @ SV731 @ ( throw_list_char @ SV831 ) @ SV995 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4119]) ).

thf(4243,plain,
    ! [SV995: $i,SV297: $i,SV590: $i,SV731: $i,SV831: $i] :
      ( ( ( ~ ( hBOOL @ ( is_refT @ ( sK1_T_r_1 @ SV831 @ SV731 @ SV590 @ SV297 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( wTrt_1 @ SV297 @ SV590 @ SV731 @ ( throw_list_char @ SV831 ) @ SV995 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4119]) ).

thf(4244,plain,
    ! [SV732: $i,SV591: $i,SV299: $i] :
      ( ( ~ ( ~ ! [SY2655: $i] :
                  ( ! [SY2656: $i] :
                      ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2655 )
                     != ( hAPP_val_option_val @ some_val @ SY2656 ) )
                  | ( SY2655 = SV591 )
                  | ( SY2655 != SV591 ) )
            | ~ ! [SY2657: $i,SY2658: $i] :
                  ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2657 )
                   != ( hAPP_val_option_val @ some_val @ SY2658 ) )
                  | ( SY2657 = SV591 )
                  | ( ( hAPP_P2094403585on_val @ SV299 @ SY2657 )
                    = ( hAPP_val_option_val @ some_val @ SY2658 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4123]) ).

thf(4245,plain,
    ! [SV732: $i,SV591: $i,SV299: $i] :
      ( ( ~ ( ~ ! [SY2659: $i,SY2660: $i] :
                  ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2659 )
                   != ( hAPP_val_option_val @ some_val @ SY2660 ) )
                  | ( SV732 = SY2660 )
                  | ( SY2659 != SV591 ) )
            | ~ ! [SY2661: $i,SY2662: $i] :
                  ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2661 )
                   != ( hAPP_val_option_val @ some_val @ SY2662 ) )
                  | ( SV732 = SY2662 )
                  | ( ( hAPP_P2094403585on_val @ SV299 @ SY2661 )
                    = ( hAPP_val_option_val @ some_val @ SY2662 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4124]) ).

thf(4246,plain,
    ! [SV299: $i,SV732: $i,SV591: $i] :
      ( ( ! [SY2663: $i,SY2664: $i] :
            ( ( SY2663 != SV591 )
            | ( SV732 != SY2664 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2663 )
              = ( hAPP_val_option_val @ some_val @ SY2664 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4125]) ).

thf(4247,plain,
    ! [SV732: $i,SV299: $i,SV591: $i] :
      ( ( ! [SY2665: $i,SY2666: $i] :
            ( ( SY2665 = SV591 )
            | ( ( hAPP_P2094403585on_val @ SV299 @ SY2665 )
             != ( hAPP_val_option_val @ some_val @ SY2666 ) )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2665 )
              = ( hAPP_val_option_val @ some_val @ SY2666 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4126]) ).

thf(4248,plain,
    ! [SV593: $i,SV733: $i,SV302: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV302 ) @ ( sK15_Y_1 @ SV733 @ SV593 @ SV302 ) ) ) @ SV733 ) )
        = $true )
      | ( ( SV302 = SV593 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV302 ) @ SV593 ) ) @ ( transi2024712006on_val @ SV733 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4129]) ).

thf(4249,plain,
    ! [SV302: $i,SV593: $i,SV733: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK15_Y_1 @ SV733 @ SV593 @ SV302 ) ) @ SV593 ) ) @ ( transi2024712006on_val @ SV733 ) ) )
        = $true )
      | ( ( SV302 = SV593 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV302 ) @ SV593 ) ) @ ( transi2024712006on_val @ SV733 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4130]) ).

thf(4250,plain,
    ! [SV1065: $i,SV594: $i,SV1002: $i,SV303: $i] :
      ( ( ( ( SV303 != SV1002 ) )
        = $true )
      | ( ( ( SV594 != SV1065 ) )
        = $true )
      | ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1002 ) @ SV1065 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4132]) ).

thf(4251,plain,
    ! [SV1133: $i,SV594: $i,SV303: $i] :
      ( ( ! [SY3064: $i] :
            ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
           != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1133 ) @ SY3064 ) )
        | ( SV303 = SV1133 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4133]) ).

thf(4252,plain,
    ! [SV1134: $i,SV594: $i,SV303: $i] :
      ( ( ! [SY3065: $i] :
            ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
             != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1134 ) @ SY3065 ) )
            | ( SV594 = SY3065 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4134]) ).

thf(4253,plain,
    ! [SV1066: $i,SV595: $i,SV1003: $i,SV304: $i] :
      ( ( ( ( SV304 != SV1003 ) )
        = $true )
      | ( ( ( SV595 != SV1066 ) )
        = $true )
      | ( ( ( lAss_list_char @ SV304 @ SV595 )
          = ( lAss_list_char @ SV1003 @ SV1066 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4135]) ).

thf(4254,plain,
    ! [SV1135: $i,SV595: $i,SV304: $i] :
      ( ( ! [SY3066: $i] :
            ( ( lAss_list_char @ SV304 @ SV595 )
           != ( lAss_list_char @ SV1135 @ SY3066 ) )
        | ( SV304 = SV1135 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4136]) ).

thf(4255,plain,
    ! [SV1136: $i,SV595: $i,SV304: $i] :
      ( ( ! [SY3067: $i] :
            ( ( ( lAss_list_char @ SV304 @ SV595 )
             != ( lAss_list_char @ SV1136 @ SY3067 ) )
            | ( SV595 = SY3067 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4137]) ).

thf(4256,plain,
    ! [SV838: $i,SV935: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV935 ) @ SV838 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV838 ) @ SV935 ) )
        = $false )
      | ( ( SV838 = SV935 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4138]) ).

thf(4257,plain,
    ! [SV1113: $i,SV1067: $i] :
      ( ( ( ( SV1067 != SV1113 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV1067 ) @ SV1113 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4139]) ).

thf(4258,plain,
    ! [SV1114: $i,SV1068: $i] :
      ( ( ( ( SV1068 != SV1114 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV1114 ) @ SV1068 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4140]) ).

thf(4259,plain,
    ! [SV596: $i,SV734: $i,SV305: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV305 ) @ ( sK16_Y_1 @ SV734 @ SV596 @ SV305 ) ) ) @ ( transi2024712006on_val @ SV734 ) ) )
        = $true )
      | ( ( SV305 = SV596 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV305 ) @ SV596 ) ) @ ( transi2024712006on_val @ SV734 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4141]) ).

thf(4260,plain,
    ! [SV305: $i,SV596: $i,SV734: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_Y_1 @ SV734 @ SV596 @ SV305 ) ) @ SV596 ) ) @ SV734 ) )
        = $true )
      | ( ( SV305 = SV596 )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV305 ) @ SV596 ) ) @ ( transi2024712006on_val @ SV734 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4142]) ).

thf(4261,plain,
    ! [SV597: $i,SV735: $i,SV1004: $i,SV936: $i,SV839: $i,SV306: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) @ SV1004 ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4143]) ).

thf(4262,plain,
    ! [SV1069: $i,SV598: $i,SV1005: $i,SV307: $i] :
      ( ( ( ( SV307 != SV1005 ) )
        = $true )
      | ( ( ( SV598 != SV1069 ) )
        = $true )
      | ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1005 ) @ SV1069 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4144]) ).

thf(4263,plain,
    ! [SV1137: $i,SV598: $i,SV307: $i] :
      ( ( ! [SY3068: $i] :
            ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
           != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1137 ) @ SY3068 ) )
        | ( SV307 = SV1137 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4145]) ).

thf(4264,plain,
    ! [SV1138: $i,SV598: $i,SV307: $i] :
      ( ( ! [SY3069: $i] :
            ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
             != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1138 ) @ SY3069 ) )
            | ( SV598 = SY3069 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4146]) ).

thf(4265,plain,
    ! [SV1070: $i,SV599: $i,SV1006: $i,SV308: $i] :
      ( ( ( ( SV308 != SV1006 ) )
        = $true )
      | ( ( ( SV599 != SV1070 ) )
        = $true )
      | ( ( ( seq_list_char @ SV308 @ SV599 )
          = ( seq_list_char @ SV1006 @ SV1070 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4147]) ).

thf(4266,plain,
    ! [SV1139: $i,SV599: $i,SV308: $i] :
      ( ( ! [SY3070: $i] :
            ( ( seq_list_char @ SV308 @ SV599 )
           != ( seq_list_char @ SV1139 @ SY3070 ) )
        | ( SV308 = SV1139 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4148]) ).

thf(4267,plain,
    ! [SV1140: $i,SV599: $i,SV308: $i] :
      ( ( ! [SY3071: $i] :
            ( ( ( seq_list_char @ SV308 @ SV599 )
             != ( seq_list_char @ SV1140 @ SY3071 ) )
            | ( SV599 = SY3071 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4149]) ).

thf(4268,plain,
    ! [SV736: $i,SV600: $i,SV309: $i] :
      ( ( ~ ( ~ ! [SY2670: $i] :
                  ( ! [SY2671: $i] :
                      ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2670 )
                     != ( hAPP_val_option_val @ some_val @ SY2671 ) )
                  | ( SY2670 = SV600 )
                  | ( SY2670 != SV600 ) )
            | ~ ! [SY2672: $i,SY2673: $i] :
                  ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2672 )
                   != ( hAPP_val_option_val @ some_val @ SY2673 ) )
                  | ( SY2672 = SV600 )
                  | ( ( hAPP_l207779698on_val @ SV309 @ SY2672 )
                    = ( hAPP_val_option_val @ some_val @ SY2673 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4150]) ).

thf(4269,plain,
    ! [SV736: $i,SV600: $i,SV309: $i] :
      ( ( ~ ( ~ ! [SY2674: $i,SY2675: $i] :
                  ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2674 )
                   != ( hAPP_val_option_val @ some_val @ SY2675 ) )
                  | ( SV736 = SY2675 )
                  | ( SY2674 != SV600 ) )
            | ~ ! [SY2676: $i,SY2677: $i] :
                  ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2676 )
                   != ( hAPP_val_option_val @ some_val @ SY2677 ) )
                  | ( SV736 = SY2677 )
                  | ( ( hAPP_l207779698on_val @ SV309 @ SY2676 )
                    = ( hAPP_val_option_val @ some_val @ SY2677 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4151]) ).

thf(4270,plain,
    ! [SV309: $i,SV736: $i,SV600: $i] :
      ( ( ! [SY2678: $i,SY2679: $i] :
            ( ( SY2678 != SV600 )
            | ( SV736 != SY2679 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2678 )
              = ( hAPP_val_option_val @ some_val @ SY2679 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4152]) ).

thf(4271,plain,
    ! [SV736: $i,SV309: $i,SV600: $i] :
      ( ( ! [SY2680: $i,SY2681: $i] :
            ( ( SY2680 = SV600 )
            | ( ( hAPP_l207779698on_val @ SV309 @ SY2680 )
             != ( hAPP_val_option_val @ some_val @ SY2681 ) )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2680 )
              = ( hAPP_val_option_val @ some_val @ SY2681 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4153]) ).

thf(4272,plain,
    ! [SV1115: $i,SV1071: $i] :
      ( ( ( ~ ( hBOOL @ SV1071 )
          | ~ ( hBOOL @ SV1115 ) )
        = $true )
      | ( ( ( bool @ SV1071 )
          = ( bool @ SV1115 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4154]) ).

thf(4273,plain,
    ! [SV1116: $i,SV1072: $i] :
      ( ( ( ( hBOOL @ SV1072 )
          | ( hBOOL @ SV1116 ) )
        = $true )
      | ( ( ( bool @ SV1072 )
          = ( bool @ SV1116 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4155]) ).

thf(4274,plain,
    ! [SV1117: $i,SV1073: $i] :
      ( ( ( ( ( bool @ SV1073 )
           != ( bool @ SV1117 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ SV1073 )
          | ( hBOOL @ SV1117 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4156]) ).

thf(4275,plain,
    ! [SV1118: $i,SV1074: $i] :
      ( ( ( ( ( bool @ SV1074 )
           != ( bool @ SV1118 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ SV1118 )
          | ( hBOOL @ SV1074 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4157]) ).

thf(4276,plain,
    ! [SV1119: $i,SV1007: $i,SV601: $i,SV310: $i] :
      ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV310 ) @ SV601 )
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1007 ) @ SV1119 ) )
        = $false )
      | ( ( SV310 = SV1007 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4158]) ).

thf(4277,plain,
    ! [SV1075: $i,SV1008: $i,SV601: $i,SV310: $i] :
      ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV310 ) @ SV601 )
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1008 ) @ SV1075 ) )
        = $false )
      | ( ( SV601 = SV1075 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4159]) ).

thf(4278,plain,
    ! [SV1076: $i,SV1009: $i,SV602: $i,SV311: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV311 @ SV602 ) @ SV1009 )
          = ( hAPP_val_option_val @ some_val @ SV1076 ) )
        = $false )
      | ( ( ( ( hAPP_l207779698on_val @ SV602 @ SV1009 )
            = none_val )
          | ( ( hAPP_l207779698on_val @ SV602 @ SV1009 )
            = ( hAPP_val_option_val @ some_val @ SV1076 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4160]) ).

thf(4279,plain,
    ! [SV1077: $i,SV1010: $i,SV602: $i,SV311: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV311 @ SV602 ) @ SV1010 )
          = ( hAPP_val_option_val @ some_val @ SV1077 ) )
        = $false )
      | ( ( ( ( hAPP_l207779698on_val @ SV311 @ SV1010 )
            = ( hAPP_val_option_val @ some_val @ SV1077 ) )
          | ( ( hAPP_l207779698on_val @ SV602 @ SV1010 )
            = ( hAPP_val_option_val @ some_val @ SV1077 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4161]) ).

thf(4280,plain,
    ! [SV603: $i,SV312: $i,SV1011: $i,SV1078: $i] :
      ( ( ( SV1078 = SV1011 )
        = $false )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV312 @ SV1011 @ SV603 ) @ SV1078 )
          = SV603 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4162]) ).

thf(4281,plain,
    ! [SV1120: $i,SV1013: $i,SV604: $i,SV313: $i] :
      ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV604 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1013 ) @ SV1120 ) )
        = $false )
      | ( ( SV313 = SV1013 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4164]) ).

thf(4282,plain,
    ! [SV1080: $i,SV1014: $i,SV604: $i,SV313: $i] :
      ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV313 ) @ SV604 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1014 ) @ SV1080 ) )
        = $false )
      | ( ( SV604 = SV1080 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4165]) ).

thf(4283,plain,
    ! [SV605: $i,SV314: $i,SV1082: $i,SV1015: $i] :
      ( ( ( SV1015 = SV1082 )
        = $false )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV314 @ SV1082 @ SV605 ) @ SV1015 )
          = SV605 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4167]) ).

thf(4284,plain,
    ! [SV842: $i,SV937: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV937 ) )
          | ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV842 ) ) )
        = $true )
      | ( ( SV937 = SV842 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4169]) ).

thf(4285,plain,
    ! [SV842: $i,SV937: $i] :
      ( ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV937 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV842 ) ) )
        = $true )
      | ( ( SV937 = SV842 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4170]) ).

thf(4286,plain,
    ! [SV843: $i,SV938: $i] :
      ( ( ( ~ ! [SY2965: $i,SY2966: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2965 ) @ SY2966 ) ) @ SV938 ) )
                | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2965 ) @ SY2966 ) ) @ SV843 ) ) ) )
        = $false )
      | ( ( SV938 = SV843 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4171]) ).

thf(4287,plain,
    ! [SV938: $i,SV843: $i] :
      ( ( ( ~ ! [SY2967: $i,SY2968: $i] :
                ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2967 ) @ SY2968 ) ) @ SV843 ) )
                | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2967 ) @ SY2968 ) ) @ SV938 ) ) ) )
        = $false )
      | ( ( SV938 = SV843 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4171]) ).

thf(4288,plain,
    ! [SV844: $i,SV943: $i] :
      ( ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV943 ) @ SV844 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV844 ) @ SV943 ) )
        = $false )
      | ( ( SV844 = SV943 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4176]) ).

thf(4289,plain,
    ! [SV1122: $i,SV1084: $i] :
      ( ( ( ( SV1084 != SV1122 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV1084 ) @ SV1122 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4177]) ).

thf(4290,plain,
    ! [SV1123: $i,SV1085: $i] :
      ( ( ( ( SV1085 != SV1123 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV1123 ) @ SV1085 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4178]) ).

thf(4291,plain,
    ! [SV606: $i,SV317: $i,SV1086: $i,SV1021: $i] :
      ( ( ( SV1021 = SV1086 )
        = $false )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV317 @ SV1086 @ SV606 ) @ SV1021 )
          = SV606 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4180]) ).

thf(4292,plain,
    ! [SV318: $i,SV1023: $i,SV944: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV944 @ SV1023 )
          = none_val )
        = $false )
      | ( ( ( ( hAPP_l207779698on_val @ SV318 @ SV1023 )
           != none_val ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SV944 ) @ SV1023 )
          = none_val )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4182]) ).

thf(4293,plain,
    ! [SV1141: $i,SV1124: $i,SV318: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SV1124 ) @ SV1141 )
         != none_val )
        | ( ( hAPP_l207779698on_val @ SV1124 @ SV1141 )
          = none_val ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4183]) ).

thf(4294,plain,
    ! [SV1142: $i,SV1125: $i,SV318: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SV1125 ) @ SV1142 )
         != none_val )
        | ( ( hAPP_l207779698on_val @ SV318 @ SV1142 )
          = none_val ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4184]) ).

thf(4295,plain,
    ! [SV319: $i,SV737: $i,SV847: $i,SV607: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) @ ( transi2024712006on_val @ SV847 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) @ SV847 ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4185]) ).

thf(4296,plain,
    ! [SV1127: $i,SV1026: $i,SV608: $i,SV321: $i] :
      ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV321 ) @ SV608 )
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1026 ) @ SV1127 ) )
        = $false )
      | ( ( SV321 = SV1026 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4189]) ).

thf(4297,plain,
    ! [SV1090: $i,SV1027: $i,SV608: $i,SV321: $i] :
      ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV321 ) @ SV608 )
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1027 ) @ SV1090 ) )
        = $false )
      | ( ( SV608 = SV1090 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4190]) ).

thf(4298,plain,
    ! [SV850: $i,SV947: $i,SV1028: $i,SV738: $i,SV609: $i,SV322: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) ) )
        = $true )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ SV1028 ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4191]) ).

thf(4299,plain,
    ! [SV1092: $i,SV610: $i,SV1031: $i,SV323: $i] :
      ( ( ( ( SV323 != SV1031 ) )
        = $true )
      | ( ( ( SV610 != SV1092 ) )
        = $true )
      | ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1031 ) @ SV1092 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4193]) ).

thf(4300,plain,
    ! [SV1143: $i,SV610: $i,SV323: $i] :
      ( ( ! [SY3072: $i] :
            ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
           != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1143 ) @ SY3072 ) )
        | ( SV323 = SV1143 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4194]) ).

thf(4301,plain,
    ! [SV1144: $i,SV610: $i,SV323: $i] :
      ( ( ! [SY3073: $i] :
            ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1144 ) @ SY3073 ) )
            | ( SV610 = SY3073 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4195]) ).

thf(4302,plain,
    ! [SV1145: $i,SV611: $i,SV324: $i] :
      ( ( ! [SY3074: $i] :
            ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SV1145 )
             != ( hAPP_val_option_val @ some_val @ SY3074 ) )
            | ( ( hAPP_l207779698on_val @ SV611 @ SV1145 )
              = none_val )
            | ( ( hAPP_l207779698on_val @ SV611 @ SV1145 )
              = ( hAPP_val_option_val @ some_val @ SY3074 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4196]) ).

thf(4303,plain,
    ! [SV1146: $i,SV611: $i,SV324: $i] :
      ( ( ! [SY3075: $i] :
            ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SV1146 )
             != ( hAPP_val_option_val @ some_val @ SY3075 ) )
            | ( ( hAPP_l207779698on_val @ SV324 @ SV1146 )
              = ( hAPP_val_option_val @ some_val @ SY3075 ) )
            | ( ( hAPP_l207779698on_val @ SV611 @ SV1146 )
              = ( hAPP_val_option_val @ some_val @ SY3075 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4197]) ).

thf(4304,plain,
    ! [SV324: $i,SV1147: $i,SV611: $i] :
      ( ( ! [SY3076: $i] :
            ( ( ( hAPP_l207779698on_val @ SV611 @ SV1147 )
             != none_val )
            | ( ( hAPP_l207779698on_val @ SV324 @ SV1147 )
             != ( hAPP_val_option_val @ some_val @ SY3076 ) )
            | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SV1147 )
              = ( hAPP_val_option_val @ some_val @ SY3076 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4198]) ).

thf(4305,plain,
    ! [SV324: $i,SV1148: $i,SV611: $i] :
      ( ( ! [SY3077: $i] :
            ( ( ( hAPP_l207779698on_val @ SV611 @ SV1148 )
             != ( hAPP_val_option_val @ some_val @ SY3077 ) )
            | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SV1148 )
              = ( hAPP_val_option_val @ some_val @ SY3077 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4199]) ).

thf(4306,plain,
    ! [SV1129: $i,SV1093: $i,SV739: $i,SV612: $i,SV325: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt @ SV325 @ SV612 @ SV739 @ SV1093 @ SV1129 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt_1 @ SV325 @ SV612 @ SV739 @ SV1093 @ SV1129 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4201]) ).

thf(4307,plain,
    ! [SV1130: $i,SV1094: $i,SV739: $i,SV612: $i,SV325: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt_1 @ SV325 @ SV612 @ SV739 @ SV1094 @ SV1130 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV325 @ SV612 @ SV739 @ SV1094 @ SV1130 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4202]) ).

thf(4308,plain,
    ! [SV1131: $i,SV1095: $i,SV740: $i,SV613: $i,SV326: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrts @ SV326 @ SV613 @ SV740 @ SV1095 @ SV1131 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrts_1 @ SV326 @ SV613 @ SV740 @ SV1095 @ SV1131 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4203]) ).

thf(4309,plain,
    ! [SV1132: $i,SV1096: $i,SV740: $i,SV613: $i,SV326: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrts_1 @ SV326 @ SV613 @ SV740 @ SV1096 @ SV1132 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrts @ SV326 @ SV613 @ SV740 @ SV1096 @ SV1132 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4204]) ).

thf(4310,plain,
    ! [SV25: $i,SV1099: $i,SV1035: $i,SV952: $i,SV863: $i,SV747: $i,SV624: $i,SV342: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV342 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV624 ) @ SV747 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV863 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV952 ) @ SV1035 ) ) ) ) @ ( red @ SV1099 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV342 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV624 ) @ ( map_ad325961431ar_val @ SV25 @ SV747 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV863 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV952 ) @ ( map_ad325961431ar_val @ SV25 @ SV1035 ) ) ) ) ) @ ( red @ SV1099 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4207]) ).

thf(4311,plain,
    ! [SV1100: $i,SV955: $i,SV348: $i,SV31: $i,SV866: $i,SV753: $i,SV630: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SV866 @ SV31 @ SV348 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SV866 @ ( seq_list_char @ SV955 @ SV31 ) @ SV348 ) )
        = $true )
      | ( ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SV866 @ SV955 @ SV1100 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4208]) ).

thf(4312,plain,
    ! [SV956: $i,SV867: $i,SV754: $i,SV349: $i,SV33: $i,SV631: $i] :
      ( ( ( hBOOL @ ( hext @ SV631 @ SV33 ) )
        = $false )
      | ( ( hBOOL @ ( wTrt_1 @ SV349 @ SV33 @ SV754 @ SV867 @ SV956 ) )
        = $true )
      | ( ( hBOOL @ ( wTrt_1 @ SV349 @ SV631 @ SV754 @ SV867 @ SV956 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4209]) ).

thf(4313,plain,
    ! [SV40: $i,SV1101: $i,SV1036: $i,SV959: $i,SV870: $i,SV757: $i,SV636: $i,SV354: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV354 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV636 ) @ SV757 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV870 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV959 ) @ SV1036 ) ) ) ) @ ( transi2024712006on_val @ ( red @ SV1101 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV354 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV636 ) @ ( map_ad325961431ar_val @ SV40 @ SV757 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV870 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV959 ) @ ( map_ad325961431ar_val @ SV40 @ SV1036 ) ) ) ) ) @ ( transi2024712006on_val @ ( red @ SV1101 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4210]) ).

thf(4314,plain,
    ! [SV653: $i,SV382: $i,SV72: $i,SV1102: $i,SV1037: $i,SV960: $i,SV871: $i,SV761: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV761 ) @ SV871 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV960 ) @ SV1037 ) ) ) @ ( red @ SV1102 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV761 @ SV72 @ SV382 @ SV653 ) ) @ SV871 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV960 @ SV72 @ SV382 @ SV653 ) ) @ SV1037 ) ) ) @ ( red @ SV1102 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4211]) ).

thf(4315,plain,
    ! [SV654: $i,SV383: $i,SV73: $i,SV1103: $i,SV1038: $i,SV961: $i,SV872: $i,SV762: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV762 ) @ SV872 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV961 ) @ SV1038 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1103 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV762 @ SV73 @ SV383 @ SV654 ) ) @ SV872 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV961 @ SV73 @ SV383 @ SV654 ) ) @ SV1038 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1103 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4212]) ).

thf(4316,plain,
    ! [SV666: $i,SV395: $i,SV85: $i,SV1104: $i,SV1042: $i,SV966: $i,SV881: $i,SV773: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV773 ) @ SV881 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV966 ) @ SV1042 ) ) ) @ ( red @ SV1104 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV773 @ SV85 @ SV395 @ SV666 ) ) @ SV881 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV966 @ SV85 @ SV395 @ SV666 ) ) @ SV1042 ) ) ) @ ( red @ SV1104 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4216]) ).

thf(4317,plain,
    ! [SV669: $i,SV398: $i,SV88: $i,SV1105: $i,SV1044: $i,SV968: $i,SV884: $i,SV776: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV776 ) @ SV884 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV968 ) @ SV1044 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1105 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV776 @ SV88 @ SV398 @ SV669 ) ) @ SV884 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV968 @ SV88 @ SV398 @ SV669 ) ) @ SV1044 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1105 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4218]) ).

thf(4318,plain,
    ! [SV1106: $i,SV971: $i,SV403: $i,SV93: $i,SV887: $i,SV780: $i,SV673: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SV887 @ SV93 @ SV403 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SV887 @ ( seq_list_char @ SV971 @ SV93 ) @ SV403 ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SV887 @ SV971 @ SV1106 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4219]) ).

thf(4319,plain,
    ! [SV976: $i,SV896: $i,SV789: $i,SV412: $i,SV102: $i,SV682: $i] :
      ( ( ( hBOOL @ ( hext @ SV682 @ SV102 ) )
        = $false )
      | ( ( hBOOL @ ( wTrts_1 @ SV412 @ SV102 @ SV789 @ SV896 @ SV976 ) )
        = $true )
      | ( ( hBOOL @ ( wTrts_1 @ SV412 @ SV682 @ SV789 @ SV896 @ SV976 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4224]) ).

thf(4320,plain,
    ! [SV715: $i,SV570: $i,SV271: $i,SV1108: $i,SV1050: $i,SV981: $i,SV912: $i,SV811: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV811 ) @ SV912 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV981 ) ) @ SV1050 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1108 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV811 @ SV271 @ SV570 @ SV715 ) ) @ SV912 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV981 ) ) @ SV1050 ) ) ) @ ( transi2024712006on_val @ ( red @ SV1108 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4227]) ).

thf(4321,plain,
    ! [SV272: $i,SV913: $i,SV812: $i,SV716: $i,SV571: $i,SV982: $i] :
      ( ( ( hBOOL @ ( is_refT @ SV982 ) )
        = $false )
      | ( ( hBOOL @ ( wTrt_1 @ SV571 @ SV716 @ SV812 @ ( throw_list_char @ SV913 ) @ SV272 ) )
        = $true )
      | ( ( hBOOL @ ( wTrt_1 @ SV571 @ SV716 @ SV812 @ SV913 @ SV982 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4228]) ).

thf(4322,plain,
    ! [SV277: $i,SV916: $i,SV815: $i,SV720: $i,SV576: $i,SV985: $i] :
      ( ( ( hBOOL @ ( is_refT @ SV985 ) )
        = $false )
      | ( ( hBOOL @ ( wTrt @ SV576 @ SV720 @ SV815 @ ( throw_list_char @ SV916 ) @ SV277 ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV576 @ SV720 @ SV815 @ SV916 @ SV985 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4230]) ).

thf(4323,plain,
    ! [SV585: $i,SV290: $i,SV821: $i,SV727: $i,SV1109: $i,SV1056: $i,SV991: $i,SV922: $i] :
      ( ( ( hBOOL @ ( wTrt_1 @ SV922 @ SV991 @ SV1056 @ SV1109 @ nt ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( wTrts_1 @ SV922 @ SV991 @ SV1056 @ SV727 @ SV821 ) )
          | ( hBOOL @ ( wTrt_1 @ SV922 @ SV991 @ SV1056 @ ( call_list_char @ SV1109 @ SV290 @ SV727 ) @ SV585 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4235]) ).

thf(4324,plain,
    ! [SV586: $i,SV291: $i,SV822: $i,SV728: $i,SV1110: $i,SV1057: $i,SV992: $i,SV923: $i] :
      ( ( ( hBOOL @ ( wTrt @ SV923 @ SV992 @ SV1057 @ SV1110 @ nt ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( wTrts @ SV923 @ SV992 @ SV1057 @ SV728 @ SV822 ) )
          | ( hBOOL @ ( wTrt @ SV923 @ SV992 @ SV1057 @ ( call_list_char @ SV1110 @ SV291 @ SV728 ) @ SV586 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4236]) ).

thf(4325,plain,
    ! [SV294: $i,SV587: $i,SV729: $i,SV823: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) @ SV823 ) )
          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) )
                      | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4237]) ).

thf(4326,plain,
    ! [SV730: $i,SV830: $i,SV928: $i,SV589: $i,SV296: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) @ ( sK21_SY1142 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) ) ) @ SV928 ) ) )
        = $false )
      | ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) ) ) @ ( transi2024712006on_val @ SV928 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4241]) ).

thf(4327,plain,
    ! [SV296: $i,SV589: $i,SV730: $i,SV830: $i,SV928: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) @ ( sK21_SY1142 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) ) ) @ ( transi2024712006on_val @ SV928 ) ) ) )
        = $false )
      | ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) ) ) @ ( transi2024712006on_val @ SV928 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4241]) ).

thf(4328,plain,
    ! [SV995: $i,SV831: $i,SV731: $i,SV590: $i,SV297: $i] :
      ( ( ( hBOOL @ ( wTrt_1 @ SV297 @ SV590 @ SV731 @ SV831 @ ( sK1_T_r_1 @ SV831 @ SV731 @ SV590 @ SV297 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt_1 @ SV297 @ SV590 @ SV731 @ ( throw_list_char @ SV831 ) @ SV995 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4242]) ).

thf(4329,plain,
    ! [SV995: $i,SV297: $i,SV590: $i,SV731: $i,SV831: $i] :
      ( ( ( hBOOL @ ( is_refT @ ( sK1_T_r_1 @ SV831 @ SV731 @ SV590 @ SV297 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt_1 @ SV297 @ SV590 @ SV731 @ ( throw_list_char @ SV831 ) @ SV995 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4243]) ).

thf(4330,plain,
    ! [SV732: $i,SV591: $i,SV299: $i] :
      ( ( ~ ! [SY2655: $i] :
              ( ! [SY2656: $i] :
                  ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2655 )
                 != ( hAPP_val_option_val @ some_val @ SY2656 ) )
              | ( SY2655 = SV591 )
              | ( SY2655 != SV591 ) )
        | ~ ! [SY2657: $i,SY2658: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2657 )
               != ( hAPP_val_option_val @ some_val @ SY2658 ) )
              | ( SY2657 = SV591 )
              | ( ( hAPP_P2094403585on_val @ SV299 @ SY2657 )
                = ( hAPP_val_option_val @ some_val @ SY2658 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[4244]) ).

thf(4331,plain,
    ! [SV732: $i,SV591: $i,SV299: $i] :
      ( ( ~ ! [SY2659: $i,SY2660: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2659 )
               != ( hAPP_val_option_val @ some_val @ SY2660 ) )
              | ( SV732 = SY2660 )
              | ( SY2659 != SV591 ) )
        | ~ ! [SY2661: $i,SY2662: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2661 )
               != ( hAPP_val_option_val @ some_val @ SY2662 ) )
              | ( SV732 = SY2662 )
              | ( ( hAPP_P2094403585on_val @ SV299 @ SY2661 )
                = ( hAPP_val_option_val @ some_val @ SY2662 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[4245]) ).

thf(4332,plain,
    ! [SV299: $i,SV732: $i,SV591: $i,SV1149: $i] :
      ( ( ! [SY3078: $i] :
            ( ( SV1149 != SV591 )
            | ( SV732 != SY3078 )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1149 )
              = ( hAPP_val_option_val @ some_val @ SY3078 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4246]) ).

thf(4333,plain,
    ! [SV732: $i,SV299: $i,SV591: $i,SV1150: $i] :
      ( ( ! [SY3079: $i] :
            ( ( SV1150 = SV591 )
            | ( ( hAPP_P2094403585on_val @ SV299 @ SV1150 )
             != ( hAPP_val_option_val @ some_val @ SY3079 ) )
            | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1150 )
              = ( hAPP_val_option_val @ some_val @ SY3079 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4247]) ).

thf(4334,plain,
    ! [SV1065: $i,SV594: $i,SV1002: $i,SV303: $i] :
      ( ( ( SV303 = SV1002 )
        = $false )
      | ( ( ( SV594 != SV1065 ) )
        = $true )
      | ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1002 ) @ SV1065 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4250]) ).

thf(4335,plain,
    ! [SV1133: $i,SV594: $i,SV303: $i] :
      ( ( ( ! [SY3064: $i] :
              ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
             != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1133 ) @ SY3064 ) ) )
        = $true )
      | ( ( SV303 = SV1133 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4251]) ).

thf(4336,plain,
    ! [SV1151: $i,SV1134: $i,SV594: $i,SV303: $i] :
      ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
         != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1134 ) @ SV1151 ) )
        | ( SV594 = SV1151 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4252]) ).

thf(4337,plain,
    ! [SV1066: $i,SV595: $i,SV1003: $i,SV304: $i] :
      ( ( ( SV304 = SV1003 )
        = $false )
      | ( ( ( SV595 != SV1066 ) )
        = $true )
      | ( ( ( lAss_list_char @ SV304 @ SV595 )
          = ( lAss_list_char @ SV1003 @ SV1066 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4253]) ).

thf(4338,plain,
    ! [SV1135: $i,SV595: $i,SV304: $i] :
      ( ( ( ! [SY3066: $i] :
              ( ( lAss_list_char @ SV304 @ SV595 )
             != ( lAss_list_char @ SV1135 @ SY3066 ) ) )
        = $true )
      | ( ( SV304 = SV1135 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4254]) ).

thf(4339,plain,
    ! [SV1152: $i,SV1136: $i,SV595: $i,SV304: $i] :
      ( ( ( ( lAss_list_char @ SV304 @ SV595 )
         != ( lAss_list_char @ SV1136 @ SV1152 ) )
        | ( SV595 = SV1152 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4255]) ).

thf(4340,plain,
    ! [SV1113: $i,SV1067: $i] :
      ( ( ( SV1067 = SV1113 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV1067 ) @ SV1113 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4257]) ).

thf(4341,plain,
    ! [SV1114: $i,SV1068: $i] :
      ( ( ( SV1068 = SV1114 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV1114 ) @ SV1068 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4258]) ).

thf(4342,plain,
    ! [SV597: $i,SV735: $i,SV1004: $i,SV936: $i,SV839: $i,SV306: $i] :
      ( ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) @ SV1004 ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4261]) ).

thf(4343,plain,
    ! [SV1069: $i,SV598: $i,SV1005: $i,SV307: $i] :
      ( ( ( SV307 = SV1005 )
        = $false )
      | ( ( ( SV598 != SV1069 ) )
        = $true )
      | ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1005 ) @ SV1069 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4262]) ).

thf(4344,plain,
    ! [SV1137: $i,SV598: $i,SV307: $i] :
      ( ( ( ! [SY3068: $i] :
              ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
             != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1137 ) @ SY3068 ) ) )
        = $true )
      | ( ( SV307 = SV1137 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4263]) ).

thf(4345,plain,
    ! [SV1153: $i,SV1138: $i,SV598: $i,SV307: $i] :
      ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
         != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1138 ) @ SV1153 ) )
        | ( SV598 = SV1153 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4264]) ).

thf(4346,plain,
    ! [SV1070: $i,SV599: $i,SV1006: $i,SV308: $i] :
      ( ( ( SV308 = SV1006 )
        = $false )
      | ( ( ( SV599 != SV1070 ) )
        = $true )
      | ( ( ( seq_list_char @ SV308 @ SV599 )
          = ( seq_list_char @ SV1006 @ SV1070 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4265]) ).

thf(4347,plain,
    ! [SV1139: $i,SV599: $i,SV308: $i] :
      ( ( ( ! [SY3070: $i] :
              ( ( seq_list_char @ SV308 @ SV599 )
             != ( seq_list_char @ SV1139 @ SY3070 ) ) )
        = $true )
      | ( ( SV308 = SV1139 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4266]) ).

thf(4348,plain,
    ! [SV1154: $i,SV1140: $i,SV599: $i,SV308: $i] :
      ( ( ( ( seq_list_char @ SV308 @ SV599 )
         != ( seq_list_char @ SV1140 @ SV1154 ) )
        | ( SV599 = SV1154 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4267]) ).

thf(4349,plain,
    ! [SV736: $i,SV600: $i,SV309: $i] :
      ( ( ~ ! [SY2670: $i] :
              ( ! [SY2671: $i] :
                  ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2670 )
                 != ( hAPP_val_option_val @ some_val @ SY2671 ) )
              | ( SY2670 = SV600 )
              | ( SY2670 != SV600 ) )
        | ~ ! [SY2672: $i,SY2673: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2672 )
               != ( hAPP_val_option_val @ some_val @ SY2673 ) )
              | ( SY2672 = SV600 )
              | ( ( hAPP_l207779698on_val @ SV309 @ SY2672 )
                = ( hAPP_val_option_val @ some_val @ SY2673 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[4268]) ).

thf(4350,plain,
    ! [SV736: $i,SV600: $i,SV309: $i] :
      ( ( ~ ! [SY2674: $i,SY2675: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2674 )
               != ( hAPP_val_option_val @ some_val @ SY2675 ) )
              | ( SV736 = SY2675 )
              | ( SY2674 != SV600 ) )
        | ~ ! [SY2676: $i,SY2677: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2676 )
               != ( hAPP_val_option_val @ some_val @ SY2677 ) )
              | ( SV736 = SY2677 )
              | ( ( hAPP_l207779698on_val @ SV309 @ SY2676 )
                = ( hAPP_val_option_val @ some_val @ SY2677 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[4269]) ).

thf(4351,plain,
    ! [SV309: $i,SV736: $i,SV600: $i,SV1155: $i] :
      ( ( ! [SY3080: $i] :
            ( ( SV1155 != SV600 )
            | ( SV736 != SY3080 )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1155 )
              = ( hAPP_val_option_val @ some_val @ SY3080 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4270]) ).

thf(4352,plain,
    ! [SV736: $i,SV309: $i,SV600: $i,SV1156: $i] :
      ( ( ! [SY3081: $i] :
            ( ( SV1156 = SV600 )
            | ( ( hAPP_l207779698on_val @ SV309 @ SV1156 )
             != ( hAPP_val_option_val @ some_val @ SY3081 ) )
            | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1156 )
              = ( hAPP_val_option_val @ some_val @ SY3081 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4271]) ).

thf(4353,plain,
    ! [SV1115: $i,SV1071: $i] :
      ( ( ( ~ ( hBOOL @ SV1071 ) )
        = $true )
      | ( ( ~ ( hBOOL @ SV1115 ) )
        = $true )
      | ( ( ( bool @ SV1071 )
          = ( bool @ SV1115 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4272]) ).

thf(4354,plain,
    ! [SV1116: $i,SV1072: $i] :
      ( ( ( hBOOL @ SV1072 )
        = $true )
      | ( ( hBOOL @ SV1116 )
        = $true )
      | ( ( ( bool @ SV1072 )
          = ( bool @ SV1116 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4273]) ).

thf(4355,plain,
    ! [SV1117: $i,SV1073: $i] :
      ( ( ( ( bool @ SV1073 )
          = ( bool @ SV1117 ) )
        = $false )
      | ( ( ~ ( hBOOL @ SV1073 )
          | ( hBOOL @ SV1117 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4274]) ).

thf(4356,plain,
    ! [SV1118: $i,SV1074: $i] :
      ( ( ( ( bool @ SV1074 )
          = ( bool @ SV1118 ) )
        = $false )
      | ( ( ~ ( hBOOL @ SV1118 )
          | ( hBOOL @ SV1074 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4275]) ).

thf(4357,plain,
    ! [SV311: $i,SV1076: $i,SV1009: $i,SV602: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV602 @ SV1009 )
          = none_val )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ SV602 @ SV1009 )
          = ( hAPP_val_option_val @ some_val @ SV1076 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV311 @ SV602 ) @ SV1009 )
          = ( hAPP_val_option_val @ some_val @ SV1076 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4278]) ).

thf(4358,plain,
    ! [SV602: $i,SV1077: $i,SV1010: $i,SV311: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV311 @ SV1010 )
          = ( hAPP_val_option_val @ some_val @ SV1077 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ SV602 @ SV1010 )
          = ( hAPP_val_option_val @ some_val @ SV1077 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV311 @ SV602 ) @ SV1010 )
          = ( hAPP_val_option_val @ some_val @ SV1077 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4279]) ).

thf(4359,plain,
    ! [SV842: $i,SV937: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV937 ) ) )
        = $true )
      | ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV842 ) ) )
        = $true )
      | ( ( SV937 = SV842 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4284]) ).

thf(4360,plain,
    ! [SV842: $i,SV937: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV937 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV842 ) )
        = $true )
      | ( ( SV937 = SV842 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4285]) ).

thf(4361,plain,
    ! [SV843: $i,SV938: $i] :
      ( ( ( ! [SY2965: $i,SY2966: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2965 ) @ SY2966 ) ) @ SV938 ) )
              | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2965 ) @ SY2966 ) ) @ SV843 ) ) ) )
        = $true )
      | ( ( SV938 = SV843 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4286]) ).

thf(4362,plain,
    ! [SV938: $i,SV843: $i] :
      ( ( ( ! [SY2967: $i,SY2968: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2967 ) @ SY2968 ) ) @ SV843 ) )
              | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY2967 ) @ SY2968 ) ) @ SV938 ) ) ) )
        = $true )
      | ( ( SV938 = SV843 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4287]) ).

thf(4363,plain,
    ! [SV1122: $i,SV1084: $i] :
      ( ( ( SV1084 = SV1122 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV1084 ) @ SV1122 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4289]) ).

thf(4364,plain,
    ! [SV1123: $i,SV1085: $i] :
      ( ( ( SV1085 = SV1123 )
        = $false )
      | ( ( hBOOL @ ( hAPP_f986089162l_bool @ ( ord_le2092826700r_bool @ SV1123 ) @ SV1085 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4290]) ).

thf(4365,plain,
    ! [SV944: $i,SV1023: $i,SV318: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV318 @ SV1023 )
          = none_val )
        = $false )
      | ( ( ( hAPP_l207779698on_val @ SV944 @ SV1023 )
          = none_val )
        = $false )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SV944 ) @ SV1023 )
          = none_val )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4292]) ).

thf(4366,plain,
    ! [SV1141: $i,SV1124: $i,SV318: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SV1124 ) @ SV1141 )
           != none_val ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ SV1124 @ SV1141 )
          = none_val )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4293]) ).

thf(4367,plain,
    ! [SV1142: $i,SV1125: $i,SV318: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SV1125 ) @ SV1142 )
           != none_val ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ SV318 @ SV1142 )
          = none_val )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4294]) ).

thf(4368,plain,
    ! [SV319: $i,SV737: $i,SV847: $i,SV607: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) @ ( transi2024712006on_val @ SV847 ) ) )
          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) @ SV847 ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) )
                      | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4295]) ).

thf(4369,plain,
    ! [SV850: $i,SV947: $i,SV1028: $i,SV738: $i,SV609: $i,SV322: $i] :
      ( ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
        = $false )
      | ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ SV1028 ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) ) )
          | ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4298]) ).

thf(4370,plain,
    ! [SV1092: $i,SV610: $i,SV1031: $i,SV323: $i] :
      ( ( ( SV323 = SV1031 )
        = $false )
      | ( ( ( SV610 != SV1092 ) )
        = $true )
      | ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1031 ) @ SV1092 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4299]) ).

thf(4371,plain,
    ! [SV1143: $i,SV610: $i,SV323: $i] :
      ( ( ( ! [SY3072: $i] :
              ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
             != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1143 ) @ SY3072 ) ) )
        = $true )
      | ( ( SV323 = SV1143 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4300]) ).

thf(4372,plain,
    ! [SV1157: $i,SV1144: $i,SV610: $i,SV323: $i] :
      ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
         != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1144 ) @ SV1157 ) )
        | ( SV610 = SV1157 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4301]) ).

thf(4373,plain,
    ! [SV1158: $i,SV1145: $i,SV611: $i,SV324: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SV1145 )
         != ( hAPP_val_option_val @ some_val @ SV1158 ) )
        | ( ( hAPP_l207779698on_val @ SV611 @ SV1145 )
          = none_val )
        | ( ( hAPP_l207779698on_val @ SV611 @ SV1145 )
          = ( hAPP_val_option_val @ some_val @ SV1158 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4302]) ).

thf(4374,plain,
    ! [SV1159: $i,SV1146: $i,SV611: $i,SV324: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SV1146 )
         != ( hAPP_val_option_val @ some_val @ SV1159 ) )
        | ( ( hAPP_l207779698on_val @ SV324 @ SV1146 )
          = ( hAPP_val_option_val @ some_val @ SV1159 ) )
        | ( ( hAPP_l207779698on_val @ SV611 @ SV1146 )
          = ( hAPP_val_option_val @ some_val @ SV1159 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4303]) ).

thf(4375,plain,
    ! [SV1160: $i,SV324: $i,SV1147: $i,SV611: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV611 @ SV1147 )
         != none_val )
        | ( ( hAPP_l207779698on_val @ SV324 @ SV1147 )
         != ( hAPP_val_option_val @ some_val @ SV1160 ) )
        | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SV1147 )
          = ( hAPP_val_option_val @ some_val @ SV1160 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4304]) ).

thf(4376,plain,
    ! [SV324: $i,SV1161: $i,SV1148: $i,SV611: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV611 @ SV1148 )
         != ( hAPP_val_option_val @ some_val @ SV1161 ) )
        | ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SV1148 )
          = ( hAPP_val_option_val @ some_val @ SV1161 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4305]) ).

thf(4377,plain,
    ! [SV1129: $i,SV1093: $i,SV739: $i,SV612: $i,SV325: $i] :
      ( ( ( hBOOL @ ( wTrt @ SV325 @ SV612 @ SV739 @ SV1093 @ SV1129 ) )
        = $false )
      | ( ( hBOOL @ ( wTrt_1 @ SV325 @ SV612 @ SV739 @ SV1093 @ SV1129 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4306]) ).

thf(4378,plain,
    ! [SV1130: $i,SV1094: $i,SV739: $i,SV612: $i,SV325: $i] :
      ( ( ( hBOOL @ ( wTrt_1 @ SV325 @ SV612 @ SV739 @ SV1094 @ SV1130 ) )
        = $false )
      | ( ( hBOOL @ ( wTrt @ SV325 @ SV612 @ SV739 @ SV1094 @ SV1130 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4307]) ).

thf(4379,plain,
    ! [SV1131: $i,SV1095: $i,SV740: $i,SV613: $i,SV326: $i] :
      ( ( ( hBOOL @ ( wTrts @ SV326 @ SV613 @ SV740 @ SV1095 @ SV1131 ) )
        = $false )
      | ( ( hBOOL @ ( wTrts_1 @ SV326 @ SV613 @ SV740 @ SV1095 @ SV1131 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4308]) ).

thf(4380,plain,
    ! [SV1132: $i,SV1096: $i,SV740: $i,SV613: $i,SV326: $i] :
      ( ( ( hBOOL @ ( wTrts_1 @ SV326 @ SV613 @ SV740 @ SV1096 @ SV1132 ) )
        = $false )
      | ( ( hBOOL @ ( wTrts @ SV326 @ SV613 @ SV740 @ SV1096 @ SV1132 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4309]) ).

thf(4381,plain,
    ! [SV1100: $i,SV955: $i,SV348: $i,SV31: $i,SV866: $i,SV753: $i,SV630: $i] :
      ( ( ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SV866 @ SV31 @ SV348 ) )
        = $false )
      | ( ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SV866 @ ( seq_list_char @ SV955 @ SV31 ) @ SV348 ) )
        = $true )
      | ( ( hBOOL @ ( wTrt_1 @ SV630 @ SV753 @ SV866 @ SV955 @ SV1100 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4311]) ).

thf(4382,plain,
    ! [SV1106: $i,SV971: $i,SV403: $i,SV93: $i,SV887: $i,SV780: $i,SV673: $i] :
      ( ( ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SV887 @ SV93 @ SV403 ) )
        = $false )
      | ( ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SV887 @ ( seq_list_char @ SV971 @ SV93 ) @ SV403 ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV673 @ SV780 @ SV887 @ SV971 @ SV1106 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4318]) ).

thf(4383,plain,
    ! [SV585: $i,SV290: $i,SV1109: $i,SV821: $i,SV727: $i,SV1056: $i,SV991: $i,SV922: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrts_1 @ SV922 @ SV991 @ SV1056 @ SV727 @ SV821 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt_1 @ SV922 @ SV991 @ SV1056 @ ( call_list_char @ SV1109 @ SV290 @ SV727 ) @ SV585 ) )
        = $true )
      | ( ( hBOOL @ ( wTrt_1 @ SV922 @ SV991 @ SV1056 @ SV1109 @ nt ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4323]) ).

thf(4384,plain,
    ! [SV586: $i,SV291: $i,SV1110: $i,SV822: $i,SV728: $i,SV1057: $i,SV992: $i,SV923: $i] :
      ( ( ( ~ ( hBOOL @ ( wTrts @ SV923 @ SV992 @ SV1057 @ SV728 @ SV822 ) ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV923 @ SV992 @ SV1057 @ ( call_list_char @ SV1110 @ SV291 @ SV728 ) @ SV586 ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV923 @ SV992 @ SV1057 @ SV1110 @ nt ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4324]) ).

thf(4385,plain,
    ! [SV294: $i,SV587: $i,SV729: $i,SV823: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) @ SV823 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4325]) ).

thf(4386,plain,
    ! [SV294: $i,SV587: $i,SV729: $i,SV823: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) )
                      | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4325]) ).

thf(4387,plain,
    ! [SV730: $i,SV830: $i,SV928: $i,SV589: $i,SV296: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) @ ( sK21_SY1142 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) ) ) @ SV928 ) )
        = $true )
      | ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) ) ) @ ( transi2024712006on_val @ SV928 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4326]) ).

thf(4388,plain,
    ! [SV296: $i,SV589: $i,SV730: $i,SV830: $i,SV928: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_1 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) @ ( sK21_SY1142 @ SV928 @ SV830 @ SV730 @ SV589 @ SV296 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) ) ) @ ( transi2024712006on_val @ SV928 ) ) )
        = $true )
      | ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV296 ) @ SV589 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV730 ) @ SV830 ) ) ) @ ( transi2024712006on_val @ SV928 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4327]) ).

thf(4389,plain,
    ! [SV732: $i,SV591: $i,SV299: $i] :
      ( ( ~ ! [SY2655: $i] :
              ( ! [SY2656: $i] :
                  ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2655 )
                 != ( hAPP_val_option_val @ some_val @ SY2656 ) )
              | ( SY2655 = SV591 )
              | ( SY2655 != SV591 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[4330]) ).

thf(4390,plain,
    ! [SV732: $i,SV591: $i,SV299: $i] :
      ( ( ~ ! [SY2657: $i,SY2658: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2657 )
               != ( hAPP_val_option_val @ some_val @ SY2658 ) )
              | ( SY2657 = SV591 )
              | ( ( hAPP_P2094403585on_val @ SV299 @ SY2657 )
                = ( hAPP_val_option_val @ some_val @ SY2658 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[4330]) ).

thf(4391,plain,
    ! [SV732: $i,SV591: $i,SV299: $i] :
      ( ( ~ ! [SY2659: $i,SY2660: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2659 )
               != ( hAPP_val_option_val @ some_val @ SY2660 ) )
              | ( SV732 = SY2660 )
              | ( SY2659 != SV591 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[4331]) ).

thf(4392,plain,
    ! [SV732: $i,SV591: $i,SV299: $i] :
      ( ( ~ ! [SY2661: $i,SY2662: $i] :
              ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2661 )
               != ( hAPP_val_option_val @ some_val @ SY2662 ) )
              | ( SV732 = SY2662 )
              | ( ( hAPP_P2094403585on_val @ SV299 @ SY2661 )
                = ( hAPP_val_option_val @ some_val @ SY2662 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[4331]) ).

thf(4393,plain,
    ! [SV299: $i,SV1162: $i,SV732: $i,SV591: $i,SV1149: $i] :
      ( ( ( SV1149 != SV591 )
        | ( SV732 != SV1162 )
        | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1149 )
          = ( hAPP_val_option_val @ some_val @ SV1162 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4332]) ).

thf(4394,plain,
    ! [SV732: $i,SV1163: $i,SV299: $i,SV591: $i,SV1150: $i] :
      ( ( ( SV1150 = SV591 )
        | ( ( hAPP_P2094403585on_val @ SV299 @ SV1150 )
         != ( hAPP_val_option_val @ some_val @ SV1163 ) )
        | ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1150 )
          = ( hAPP_val_option_val @ some_val @ SV1163 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4333]) ).

thf(4395,plain,
    ! [SV1002: $i,SV303: $i,SV1065: $i,SV594: $i] :
      ( ( ( SV594 = SV1065 )
        = $false )
      | ( ( SV303 = SV1002 )
        = $false )
      | ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1002 ) @ SV1065 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4334]) ).

thf(4396,plain,
    ! [SV1164: $i,SV1133: $i,SV594: $i,SV303: $i] :
      ( ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
           != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1133 ) @ SV1164 ) ) )
        = $true )
      | ( ( SV303 = SV1133 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4335]) ).

thf(4397,plain,
    ! [SV1151: $i,SV1134: $i,SV594: $i,SV303: $i] :
      ( ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
           != ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1134 ) @ SV1151 ) ) )
        = $true )
      | ( ( SV594 = SV1151 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4336]) ).

thf(4398,plain,
    ! [SV1003: $i,SV304: $i,SV1066: $i,SV595: $i] :
      ( ( ( SV595 = SV1066 )
        = $false )
      | ( ( SV304 = SV1003 )
        = $false )
      | ( ( ( lAss_list_char @ SV304 @ SV595 )
          = ( lAss_list_char @ SV1003 @ SV1066 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4337]) ).

thf(4399,plain,
    ! [SV1165: $i,SV1135: $i,SV595: $i,SV304: $i] :
      ( ( ( ( ( lAss_list_char @ SV304 @ SV595 )
           != ( lAss_list_char @ SV1135 @ SV1165 ) ) )
        = $true )
      | ( ( SV304 = SV1135 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4338]) ).

thf(4400,plain,
    ! [SV1152: $i,SV1136: $i,SV595: $i,SV304: $i] :
      ( ( ( ( ( lAss_list_char @ SV304 @ SV595 )
           != ( lAss_list_char @ SV1136 @ SV1152 ) ) )
        = $true )
      | ( ( SV595 = SV1152 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4339]) ).

thf(4401,plain,
    ! [SV306: $i,SV597: $i,SV735: $i,SV839: $i,SV936: $i,SV1004: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) @ SV1004 ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4342]) ).

thf(4402,plain,
    ! [SV1005: $i,SV307: $i,SV1069: $i,SV598: $i] :
      ( ( ( SV598 = SV1069 )
        = $false )
      | ( ( SV307 = SV1005 )
        = $false )
      | ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1005 ) @ SV1069 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4343]) ).

thf(4403,plain,
    ! [SV1166: $i,SV1137: $i,SV598: $i,SV307: $i] :
      ( ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
           != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1137 ) @ SV1166 ) ) )
        = $true )
      | ( ( SV307 = SV1137 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4344]) ).

thf(4404,plain,
    ! [SV1153: $i,SV1138: $i,SV598: $i,SV307: $i] :
      ( ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
           != ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1138 ) @ SV1153 ) ) )
        = $true )
      | ( ( SV598 = SV1153 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4345]) ).

thf(4405,plain,
    ! [SV1006: $i,SV308: $i,SV1070: $i,SV599: $i] :
      ( ( ( SV599 = SV1070 )
        = $false )
      | ( ( SV308 = SV1006 )
        = $false )
      | ( ( ( seq_list_char @ SV308 @ SV599 )
          = ( seq_list_char @ SV1006 @ SV1070 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4346]) ).

thf(4406,plain,
    ! [SV1167: $i,SV1139: $i,SV599: $i,SV308: $i] :
      ( ( ( ( ( seq_list_char @ SV308 @ SV599 )
           != ( seq_list_char @ SV1139 @ SV1167 ) ) )
        = $true )
      | ( ( SV308 = SV1139 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4347]) ).

thf(4407,plain,
    ! [SV1154: $i,SV1140: $i,SV599: $i,SV308: $i] :
      ( ( ( ( ( seq_list_char @ SV308 @ SV599 )
           != ( seq_list_char @ SV1140 @ SV1154 ) ) )
        = $true )
      | ( ( SV599 = SV1154 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4348]) ).

thf(4408,plain,
    ! [SV736: $i,SV600: $i,SV309: $i] :
      ( ( ~ ! [SY2670: $i] :
              ( ! [SY2671: $i] :
                  ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2670 )
                 != ( hAPP_val_option_val @ some_val @ SY2671 ) )
              | ( SY2670 = SV600 )
              | ( SY2670 != SV600 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[4349]) ).

thf(4409,plain,
    ! [SV736: $i,SV600: $i,SV309: $i] :
      ( ( ~ ! [SY2672: $i,SY2673: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2672 )
               != ( hAPP_val_option_val @ some_val @ SY2673 ) )
              | ( SY2672 = SV600 )
              | ( ( hAPP_l207779698on_val @ SV309 @ SY2672 )
                = ( hAPP_val_option_val @ some_val @ SY2673 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[4349]) ).

thf(4410,plain,
    ! [SV736: $i,SV600: $i,SV309: $i] :
      ( ( ~ ! [SY2674: $i,SY2675: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2674 )
               != ( hAPP_val_option_val @ some_val @ SY2675 ) )
              | ( SV736 = SY2675 )
              | ( SY2674 != SV600 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[4350]) ).

thf(4411,plain,
    ! [SV736: $i,SV600: $i,SV309: $i] :
      ( ( ~ ! [SY2676: $i,SY2677: $i] :
              ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2676 )
               != ( hAPP_val_option_val @ some_val @ SY2677 ) )
              | ( SV736 = SY2677 )
              | ( ( hAPP_l207779698on_val @ SV309 @ SY2676 )
                = ( hAPP_val_option_val @ some_val @ SY2677 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[4350]) ).

thf(4412,plain,
    ! [SV309: $i,SV1168: $i,SV736: $i,SV600: $i,SV1155: $i] :
      ( ( ( SV1155 != SV600 )
        | ( SV736 != SV1168 )
        | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1155 )
          = ( hAPP_val_option_val @ some_val @ SV1168 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4351]) ).

thf(4413,plain,
    ! [SV736: $i,SV1169: $i,SV309: $i,SV600: $i,SV1156: $i] :
      ( ( ( SV1156 = SV600 )
        | ( ( hAPP_l207779698on_val @ SV309 @ SV1156 )
         != ( hAPP_val_option_val @ some_val @ SV1169 ) )
        | ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1156 )
          = ( hAPP_val_option_val @ some_val @ SV1169 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4352]) ).

thf(4414,plain,
    ! [SV1115: $i,SV1071: $i] :
      ( ( ( hBOOL @ SV1071 )
        = $false )
      | ( ( ~ ( hBOOL @ SV1115 ) )
        = $true )
      | ( ( ( bool @ SV1071 )
          = ( bool @ SV1115 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4353]) ).

thf(4415,plain,
    ! [SV1117: $i,SV1073: $i] :
      ( ( ( ~ ( hBOOL @ SV1073 ) )
        = $true )
      | ( ( hBOOL @ SV1117 )
        = $true )
      | ( ( ( bool @ SV1073 )
          = ( bool @ SV1117 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4355]) ).

thf(4416,plain,
    ! [SV1074: $i,SV1118: $i] :
      ( ( ( ~ ( hBOOL @ SV1118 ) )
        = $true )
      | ( ( hBOOL @ SV1074 )
        = $true )
      | ( ( ( bool @ SV1074 )
          = ( bool @ SV1118 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4356]) ).

thf(4417,plain,
    ! [SV842: $i,SV937: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV937 ) )
        = $false )
      | ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV842 ) ) )
        = $true )
      | ( ( SV937 = SV842 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4359]) ).

thf(4418,plain,
    ! [SV843: $i,SV938: $i,SV1170: $i] :
      ( ( ( ! [SY3082: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1170 ) @ SY3082 ) ) @ SV938 ) )
              | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1170 ) @ SY3082 ) ) @ SV843 ) ) ) )
        = $true )
      | ( ( SV938 = SV843 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4361]) ).

thf(4419,plain,
    ! [SV938: $i,SV843: $i,SV1171: $i] :
      ( ( ( ! [SY3083: $i] :
              ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1171 ) @ SY3083 ) ) @ SV843 ) )
              | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1171 ) @ SY3083 ) ) @ SV938 ) ) ) )
        = $true )
      | ( ( SV938 = SV843 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4362]) ).

thf(4420,plain,
    ! [SV1141: $i,SV1124: $i,SV318: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SV1124 ) @ SV1141 )
          = none_val )
        = $false )
      | ( ( ( hAPP_l207779698on_val @ SV1124 @ SV1141 )
          = none_val )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4366]) ).

thf(4421,plain,
    ! [SV1142: $i,SV1125: $i,SV318: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV318 @ SV1125 ) @ SV1142 )
          = none_val )
        = $false )
      | ( ( ( hAPP_l207779698on_val @ SV318 @ SV1142 )
          = none_val )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4367]) ).

thf(4422,plain,
    ! [SV319: $i,SV737: $i,SV847: $i,SV607: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) @ ( transi2024712006on_val @ SV847 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4368]) ).

thf(4423,plain,
    ! [SV319: $i,SV607: $i,SV737: $i,SV847: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) @ SV847 ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) )
                      | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4368]) ).

thf(4424,plain,
    ! [SV322: $i,SV850: $i,SV947: $i,SV1028: $i,SV738: $i,SV609: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ SV1028 ) )
                    | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) )
                          | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4369]) ).

thf(4425,plain,
    ! [SV1031: $i,SV323: $i,SV1092: $i,SV610: $i] :
      ( ( ( SV610 = SV1092 )
        = $false )
      | ( ( SV323 = SV1031 )
        = $false )
      | ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1031 ) @ SV1092 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4370]) ).

thf(4426,plain,
    ! [SV1172: $i,SV1143: $i,SV610: $i,SV323: $i] :
      ( ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
           != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1143 ) @ SV1172 ) ) )
        = $true )
      | ( ( SV323 = SV1143 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4371]) ).

thf(4427,plain,
    ! [SV1157: $i,SV1144: $i,SV610: $i,SV323: $i] :
      ( ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
           != ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1144 ) @ SV1157 ) ) )
        = $true )
      | ( ( SV610 = SV1157 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4372]) ).

thf(4428,plain,
    ! [SV1158: $i,SV1145: $i,SV611: $i,SV324: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SV1145 )
           != ( hAPP_val_option_val @ some_val @ SV1158 ) ) )
        = $true )
      | ( ( ( ( hAPP_l207779698on_val @ SV611 @ SV1145 )
            = none_val )
          | ( ( hAPP_l207779698on_val @ SV611 @ SV1145 )
            = ( hAPP_val_option_val @ some_val @ SV1158 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4373]) ).

thf(4429,plain,
    ! [SV1159: $i,SV1146: $i,SV611: $i,SV324: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SV1146 )
           != ( hAPP_val_option_val @ some_val @ SV1159 ) ) )
        = $true )
      | ( ( ( ( hAPP_l207779698on_val @ SV324 @ SV1146 )
            = ( hAPP_val_option_val @ some_val @ SV1159 ) )
          | ( ( hAPP_l207779698on_val @ SV611 @ SV1146 )
            = ( hAPP_val_option_val @ some_val @ SV1159 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4374]) ).

thf(4430,plain,
    ! [SV1160: $i,SV324: $i,SV1147: $i,SV611: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ SV611 @ SV1147 )
           != none_val )
          | ( ( hAPP_l207779698on_val @ SV324 @ SV1147 )
           != ( hAPP_val_option_val @ some_val @ SV1160 ) ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SV1147 )
          = ( hAPP_val_option_val @ some_val @ SV1160 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4375]) ).

thf(4431,plain,
    ! [SV324: $i,SV1161: $i,SV1148: $i,SV611: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ SV611 @ SV1148 )
           != ( hAPP_val_option_val @ some_val @ SV1161 ) ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SV1148 )
          = ( hAPP_val_option_val @ some_val @ SV1161 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4376]) ).

thf(4432,plain,
    ! [SV585: $i,SV290: $i,SV1109: $i,SV821: $i,SV727: $i,SV1056: $i,SV991: $i,SV922: $i] :
      ( ( ( hBOOL @ ( wTrts_1 @ SV922 @ SV991 @ SV1056 @ SV727 @ SV821 ) )
        = $false )
      | ( ( hBOOL @ ( wTrt_1 @ SV922 @ SV991 @ SV1056 @ ( call_list_char @ SV1109 @ SV290 @ SV727 ) @ SV585 ) )
        = $true )
      | ( ( hBOOL @ ( wTrt_1 @ SV922 @ SV991 @ SV1056 @ SV1109 @ nt ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4383]) ).

thf(4433,plain,
    ! [SV586: $i,SV291: $i,SV1110: $i,SV822: $i,SV728: $i,SV1057: $i,SV992: $i,SV923: $i] :
      ( ( ( hBOOL @ ( wTrts @ SV923 @ SV992 @ SV1057 @ SV728 @ SV822 ) )
        = $false )
      | ( ( hBOOL @ ( wTrt @ SV923 @ SV992 @ SV1057 @ ( call_list_char @ SV1110 @ SV291 @ SV728 ) @ SV586 ) )
        = $true )
      | ( ( hBOOL @ ( wTrt @ SV923 @ SV992 @ SV1057 @ SV1110 @ nt ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4384]) ).

thf(4434,plain,
    ! [SV294: $i,SV587: $i,SV729: $i,SV823: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) @ SV823 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4385]) ).

thf(4435,plain,
    ! [SV294: $i,SV587: $i,SV729: $i,SV823: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) )
                    | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4386]) ).

thf(4436,plain,
    ! [SV732: $i,SV591: $i,SV299: $i] :
      ( ( ! [SY2655: $i] :
            ( ! [SY2656: $i] :
                ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2655 )
               != ( hAPP_val_option_val @ some_val @ SY2656 ) )
            | ( SY2655 = SV591 )
            | ( SY2655 != SV591 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4389]) ).

thf(4437,plain,
    ! [SV732: $i,SV591: $i,SV299: $i] :
      ( ( ! [SY2657: $i,SY2658: $i] :
            ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2657 )
             != ( hAPP_val_option_val @ some_val @ SY2658 ) )
            | ( SY2657 = SV591 )
            | ( ( hAPP_P2094403585on_val @ SV299 @ SY2657 )
              = ( hAPP_val_option_val @ some_val @ SY2658 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4390]) ).

thf(4438,plain,
    ! [SV732: $i,SV591: $i,SV299: $i] :
      ( ( ! [SY2659: $i,SY2660: $i] :
            ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2659 )
             != ( hAPP_val_option_val @ some_val @ SY2660 ) )
            | ( SV732 = SY2660 )
            | ( SY2659 != SV591 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4391]) ).

thf(4439,plain,
    ! [SV732: $i,SV591: $i,SV299: $i] :
      ( ( ! [SY2661: $i,SY2662: $i] :
            ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SY2661 )
             != ( hAPP_val_option_val @ some_val @ SY2662 ) )
            | ( SV732 = SY2662 )
            | ( ( hAPP_P2094403585on_val @ SV299 @ SY2661 )
              = ( hAPP_val_option_val @ some_val @ SY2662 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4392]) ).

thf(4440,plain,
    ! [SV299: $i,SV1162: $i,SV732: $i,SV591: $i,SV1149: $i] :
      ( ( ( ( SV1149 != SV591 )
          | ( SV732 != SV1162 ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1149 )
          = ( hAPP_val_option_val @ some_val @ SV1162 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4393]) ).

thf(4441,plain,
    ! [SV732: $i,SV1163: $i,SV299: $i,SV591: $i,SV1150: $i] :
      ( ( ( ( SV1150 = SV591 )
          | ( ( hAPP_P2094403585on_val @ SV299 @ SV1150 )
           != ( hAPP_val_option_val @ some_val @ SV1163 ) ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1150 )
          = ( hAPP_val_option_val @ some_val @ SV1163 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4394]) ).

thf(4442,plain,
    ! [SV1164: $i,SV1133: $i,SV594: $i,SV303: $i] :
      ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1133 ) @ SV1164 ) )
        = $false )
      | ( ( SV303 = SV1133 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4396]) ).

thf(4443,plain,
    ! [SV1151: $i,SV1134: $i,SV594: $i,SV303: $i] :
      ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV303 ) @ SV594 )
          = ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV1134 ) @ SV1151 ) )
        = $false )
      | ( ( SV594 = SV1151 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4397]) ).

thf(4444,plain,
    ! [SV1165: $i,SV1135: $i,SV595: $i,SV304: $i] :
      ( ( ( ( lAss_list_char @ SV304 @ SV595 )
          = ( lAss_list_char @ SV1135 @ SV1165 ) )
        = $false )
      | ( ( SV304 = SV1135 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4399]) ).

thf(4445,plain,
    ! [SV1152: $i,SV1136: $i,SV595: $i,SV304: $i] :
      ( ( ( ( lAss_list_char @ SV304 @ SV595 )
          = ( lAss_list_char @ SV1136 @ SV1152 ) )
        = $false )
      | ( ( SV595 = SV1152 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4400]) ).

thf(4446,plain,
    ! [SV306: $i,SV597: $i,SV735: $i,SV839: $i,SV936: $i,SV1004: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) @ SV1004 ) )
          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) )
                      | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4401]) ).

thf(4447,plain,
    ! [SV1166: $i,SV1137: $i,SV598: $i,SV307: $i] :
      ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1137 ) @ SV1166 ) )
        = $false )
      | ( ( SV307 = SV1137 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4403]) ).

thf(4448,plain,
    ! [SV1153: $i,SV1138: $i,SV598: $i,SV307: $i] :
      ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV307 ) @ SV598 )
          = ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV1138 ) @ SV1153 ) )
        = $false )
      | ( ( SV598 = SV1153 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4404]) ).

thf(4449,plain,
    ! [SV1167: $i,SV1139: $i,SV599: $i,SV308: $i] :
      ( ( ( ( seq_list_char @ SV308 @ SV599 )
          = ( seq_list_char @ SV1139 @ SV1167 ) )
        = $false )
      | ( ( SV308 = SV1139 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4406]) ).

thf(4450,plain,
    ! [SV1154: $i,SV1140: $i,SV599: $i,SV308: $i] :
      ( ( ( ( seq_list_char @ SV308 @ SV599 )
          = ( seq_list_char @ SV1140 @ SV1154 ) )
        = $false )
      | ( ( SV599 = SV1154 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4407]) ).

thf(4451,plain,
    ! [SV736: $i,SV600: $i,SV309: $i] :
      ( ( ! [SY2670: $i] :
            ( ! [SY2671: $i] :
                ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2670 )
               != ( hAPP_val_option_val @ some_val @ SY2671 ) )
            | ( SY2670 = SV600 )
            | ( SY2670 != SV600 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4408]) ).

thf(4452,plain,
    ! [SV736: $i,SV600: $i,SV309: $i] :
      ( ( ! [SY2672: $i,SY2673: $i] :
            ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2672 )
             != ( hAPP_val_option_val @ some_val @ SY2673 ) )
            | ( SY2672 = SV600 )
            | ( ( hAPP_l207779698on_val @ SV309 @ SY2672 )
              = ( hAPP_val_option_val @ some_val @ SY2673 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4409]) ).

thf(4453,plain,
    ! [SV736: $i,SV600: $i,SV309: $i] :
      ( ( ! [SY2674: $i,SY2675: $i] :
            ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2674 )
             != ( hAPP_val_option_val @ some_val @ SY2675 ) )
            | ( SV736 = SY2675 )
            | ( SY2674 != SV600 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4410]) ).

thf(4454,plain,
    ! [SV736: $i,SV600: $i,SV309: $i] :
      ( ( ! [SY2676: $i,SY2677: $i] :
            ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SY2676 )
             != ( hAPP_val_option_val @ some_val @ SY2677 ) )
            | ( SV736 = SY2677 )
            | ( ( hAPP_l207779698on_val @ SV309 @ SY2676 )
              = ( hAPP_val_option_val @ some_val @ SY2677 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4411]) ).

thf(4455,plain,
    ! [SV309: $i,SV1168: $i,SV736: $i,SV600: $i,SV1155: $i] :
      ( ( ( ( SV1155 != SV600 )
          | ( SV736 != SV1168 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1155 )
          = ( hAPP_val_option_val @ some_val @ SV1168 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4412]) ).

thf(4456,plain,
    ! [SV736: $i,SV1169: $i,SV309: $i,SV600: $i,SV1156: $i] :
      ( ( ( ( SV1156 = SV600 )
          | ( ( hAPP_l207779698on_val @ SV309 @ SV1156 )
           != ( hAPP_val_option_val @ some_val @ SV1169 ) ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1156 )
          = ( hAPP_val_option_val @ some_val @ SV1169 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4413]) ).

thf(4457,plain,
    ! [SV1071: $i,SV1115: $i] :
      ( ( ( hBOOL @ SV1115 )
        = $false )
      | ( ( hBOOL @ SV1071 )
        = $false )
      | ( ( ( bool @ SV1071 )
          = ( bool @ SV1115 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4414]) ).

thf(4458,plain,
    ! [SV1117: $i,SV1073: $i] :
      ( ( ( hBOOL @ SV1073 )
        = $false )
      | ( ( hBOOL @ SV1117 )
        = $true )
      | ( ( ( bool @ SV1073 )
          = ( bool @ SV1117 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4415]) ).

thf(4459,plain,
    ! [SV1074: $i,SV1118: $i] :
      ( ( ( hBOOL @ SV1118 )
        = $false )
      | ( ( hBOOL @ SV1074 )
        = $true )
      | ( ( ( bool @ SV1074 )
          = ( bool @ SV1118 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4416]) ).

thf(4460,plain,
    ! [SV842: $i,SV937: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV842 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK47_X_1 @ SV937 @ SV842 ) ) @ ( sK48_SY1152 @ SV937 @ SV842 ) ) ) @ SV937 ) )
        = $false )
      | ( ( SV937 = SV842 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4417]) ).

thf(4461,plain,
    ! [SV843: $i,SV938: $i,SV1173: $i,SV1170: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1170 ) @ SV1173 ) ) @ SV938 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1170 ) @ SV1173 ) ) @ SV843 ) ) )
        = $true )
      | ( ( SV938 = SV843 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4418]) ).

thf(4462,plain,
    ! [SV938: $i,SV843: $i,SV1174: $i,SV1171: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1171 ) @ SV1174 ) ) @ SV843 ) )
          | ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1171 ) @ SV1174 ) ) @ SV938 ) ) )
        = $true )
      | ( ( SV938 = SV843 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4419]) ).

thf(4463,plain,
    ! [SV319: $i,SV737: $i,SV847: $i,SV607: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4422]) ).

thf(4464,plain,
    ! [SV319: $i,SV607: $i,SV737: $i,SV847: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) @ SV847 ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) )
                    | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4423]) ).

thf(4465,plain,
    ! [SV322: $i,SV850: $i,SV947: $i,SV1028: $i,SV738: $i,SV609: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
          | ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ SV1028 ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) )
                      | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4424]) ).

thf(4466,plain,
    ! [SV1172: $i,SV1143: $i,SV610: $i,SV323: $i] :
      ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1143 ) @ SV1172 ) )
        = $false )
      | ( ( SV323 = SV1143 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4426]) ).

thf(4467,plain,
    ! [SV1157: $i,SV1144: $i,SV610: $i,SV323: $i] :
      ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV323 ) @ SV610 )
          = ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1144 ) @ SV1157 ) )
        = $false )
      | ( ( SV610 = SV1157 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4427]) ).

thf(4468,plain,
    ! [SV1158: $i,SV1145: $i,SV611: $i,SV324: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SV1145 )
          = ( hAPP_val_option_val @ some_val @ SV1158 ) )
        = $false )
      | ( ( ( ( hAPP_l207779698on_val @ SV611 @ SV1145 )
            = none_val )
          | ( ( hAPP_l207779698on_val @ SV611 @ SV1145 )
            = ( hAPP_val_option_val @ some_val @ SV1158 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4428]) ).

thf(4469,plain,
    ! [SV1159: $i,SV1146: $i,SV611: $i,SV324: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SV1146 )
          = ( hAPP_val_option_val @ some_val @ SV1159 ) )
        = $false )
      | ( ( ( ( hAPP_l207779698on_val @ SV324 @ SV1146 )
            = ( hAPP_val_option_val @ some_val @ SV1159 ) )
          | ( ( hAPP_l207779698on_val @ SV611 @ SV1146 )
            = ( hAPP_val_option_val @ some_val @ SV1159 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4429]) ).

thf(4470,plain,
    ! [SV1160: $i,SV324: $i,SV1147: $i,SV611: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ SV611 @ SV1147 )
           != none_val ) )
        = $true )
      | ( ( ( ( hAPP_l207779698on_val @ SV324 @ SV1147 )
           != ( hAPP_val_option_val @ some_val @ SV1160 ) ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SV1147 )
          = ( hAPP_val_option_val @ some_val @ SV1160 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4430]) ).

thf(4471,plain,
    ! [SV324: $i,SV1161: $i,SV1148: $i,SV611: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV611 @ SV1148 )
          = ( hAPP_val_option_val @ some_val @ SV1161 ) )
        = $false )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SV1148 )
          = ( hAPP_val_option_val @ some_val @ SV1161 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4431]) ).

thf(4472,plain,
    ! [SV294: $i,SV587: $i,SV729: $i,SV823: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
          | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) )
                | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4435]) ).

thf(4473,plain,
    ! [SV1175: $i,SV732: $i,SV591: $i,SV299: $i] :
      ( ( ! [SY3084: $i] :
            ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1175 )
           != ( hAPP_val_option_val @ some_val @ SY3084 ) )
        | ( SV1175 = SV591 )
        | ( SV1175 != SV591 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4436]) ).

thf(4474,plain,
    ! [SV1176: $i,SV732: $i,SV591: $i,SV299: $i] :
      ( ( ! [SY3085: $i] :
            ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1176 )
             != ( hAPP_val_option_val @ some_val @ SY3085 ) )
            | ( SV1176 = SV591 )
            | ( ( hAPP_P2094403585on_val @ SV299 @ SV1176 )
              = ( hAPP_val_option_val @ some_val @ SY3085 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4437]) ).

thf(4475,plain,
    ! [SV1177: $i,SV732: $i,SV591: $i,SV299: $i] :
      ( ( ! [SY3086: $i] :
            ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1177 )
             != ( hAPP_val_option_val @ some_val @ SY3086 ) )
            | ( SV732 = SY3086 )
            | ( SV1177 != SV591 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4438]) ).

thf(4476,plain,
    ! [SV1178: $i,SV732: $i,SV591: $i,SV299: $i] :
      ( ( ! [SY3087: $i] :
            ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1178 )
             != ( hAPP_val_option_val @ some_val @ SY3087 ) )
            | ( SV732 = SY3087 )
            | ( ( hAPP_P2094403585on_val @ SV299 @ SV1178 )
              = ( hAPP_val_option_val @ some_val @ SY3087 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4439]) ).

thf(4477,plain,
    ! [SV299: $i,SV1162: $i,SV732: $i,SV591: $i,SV1149: $i] :
      ( ( ( ( SV1149 != SV591 ) )
        = $true )
      | ( ( ( SV732 != SV1162 ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1149 )
          = ( hAPP_val_option_val @ some_val @ SV1162 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4440]) ).

thf(4478,plain,
    ! [SV732: $i,SV1163: $i,SV299: $i,SV591: $i,SV1150: $i] :
      ( ( ( SV1150 = SV591 )
        = $true )
      | ( ( ( ( hAPP_P2094403585on_val @ SV299 @ SV1150 )
           != ( hAPP_val_option_val @ some_val @ SV1163 ) ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1150 )
          = ( hAPP_val_option_val @ some_val @ SV1163 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4441]) ).

thf(4479,plain,
    ! [SV306: $i,SV597: $i,SV735: $i,SV839: $i,SV936: $i,SV1004: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) @ SV1004 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4446]) ).

thf(4480,plain,
    ! [SV306: $i,SV597: $i,SV735: $i,SV839: $i,SV936: $i,SV1004: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) )
                      | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4446]) ).

thf(4481,plain,
    ! [SV1179: $i,SV736: $i,SV600: $i,SV309: $i] :
      ( ( ! [SY3088: $i] :
            ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1179 )
           != ( hAPP_val_option_val @ some_val @ SY3088 ) )
        | ( SV1179 = SV600 )
        | ( SV1179 != SV600 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4451]) ).

thf(4482,plain,
    ! [SV1180: $i,SV736: $i,SV600: $i,SV309: $i] :
      ( ( ! [SY3089: $i] :
            ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1180 )
             != ( hAPP_val_option_val @ some_val @ SY3089 ) )
            | ( SV1180 = SV600 )
            | ( ( hAPP_l207779698on_val @ SV309 @ SV1180 )
              = ( hAPP_val_option_val @ some_val @ SY3089 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4452]) ).

thf(4483,plain,
    ! [SV1181: $i,SV736: $i,SV600: $i,SV309: $i] :
      ( ( ! [SY3090: $i] :
            ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1181 )
             != ( hAPP_val_option_val @ some_val @ SY3090 ) )
            | ( SV736 = SY3090 )
            | ( SV1181 != SV600 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4453]) ).

thf(4484,plain,
    ! [SV1182: $i,SV736: $i,SV600: $i,SV309: $i] :
      ( ( ! [SY3091: $i] :
            ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1182 )
             != ( hAPP_val_option_val @ some_val @ SY3091 ) )
            | ( SV736 = SY3091 )
            | ( ( hAPP_l207779698on_val @ SV309 @ SV1182 )
              = ( hAPP_val_option_val @ some_val @ SY3091 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4454]) ).

thf(4485,plain,
    ! [SV309: $i,SV1168: $i,SV736: $i,SV600: $i,SV1155: $i] :
      ( ( ( ( SV1155 != SV600 ) )
        = $true )
      | ( ( ( SV736 != SV1168 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1155 )
          = ( hAPP_val_option_val @ some_val @ SV1168 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4455]) ).

thf(4486,plain,
    ! [SV736: $i,SV1169: $i,SV309: $i,SV600: $i,SV1156: $i] :
      ( ( ( SV1156 = SV600 )
        = $true )
      | ( ( ( ( hAPP_l207779698on_val @ SV309 @ SV1156 )
           != ( hAPP_val_option_val @ some_val @ SV1169 ) ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1156 )
          = ( hAPP_val_option_val @ some_val @ SV1169 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4456]) ).

thf(4487,plain,
    ! [SV843: $i,SV938: $i,SV1173: $i,SV1170: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1170 ) @ SV1173 ) ) @ SV938 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1170 ) @ SV1173 ) ) @ SV843 ) )
        = $true )
      | ( ( SV938 = SV843 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4461]) ).

thf(4488,plain,
    ! [SV938: $i,SV843: $i,SV1174: $i,SV1171: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1171 ) @ SV1174 ) ) @ SV843 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1171 ) @ SV1174 ) ) @ SV938 ) )
        = $true )
      | ( ( SV938 = SV843 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4462]) ).

thf(4489,plain,
    ! [SV319: $i,SV607: $i,SV737: $i,SV847: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) @ SV847 ) )
          | ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) )
                | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4464]) ).

thf(4490,plain,
    ! [SV322: $i,SV850: $i,SV947: $i,SV1028: $i,SV738: $i,SV609: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4465]) ).

thf(4491,plain,
    ! [SV322: $i,SV609: $i,SV738: $i,SV850: $i,SV947: $i,SV1028: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ SV1028 ) )
                | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) )
                      | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4465]) ).

thf(4492,plain,
    ! [SV324: $i,SV1158: $i,SV1145: $i,SV611: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV611 @ SV1145 )
          = none_val )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ SV611 @ SV1145 )
          = ( hAPP_val_option_val @ some_val @ SV1158 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SV1145 )
          = ( hAPP_val_option_val @ some_val @ SV1158 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4468]) ).

thf(4493,plain,
    ! [SV611: $i,SV1159: $i,SV1146: $i,SV324: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV324 @ SV1146 )
          = ( hAPP_val_option_val @ some_val @ SV1159 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ SV611 @ SV1146 )
          = ( hAPP_val_option_val @ some_val @ SV1159 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SV1146 )
          = ( hAPP_val_option_val @ some_val @ SV1159 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4469]) ).

thf(4494,plain,
    ! [SV1160: $i,SV324: $i,SV1147: $i,SV611: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV611 @ SV1147 )
          = none_val )
        = $false )
      | ( ( ( ( hAPP_l207779698on_val @ SV324 @ SV1147 )
           != ( hAPP_val_option_val @ some_val @ SV1160 ) ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SV1147 )
          = ( hAPP_val_option_val @ some_val @ SV1160 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4470]) ).

thf(4495,plain,
    ! [SV294: $i,SV587: $i,SV729: $i,SV823: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4472]) ).

thf(4496,plain,
    ! [SV587: $i,SV729: $i,SV823: $i,SV294: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) )
                | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4472]) ).

thf(4497,plain,
    ! [SV1175: $i,SV732: $i,SV591: $i,SV299: $i] :
      ( ( ( ! [SY3084: $i] :
              ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1175 )
             != ( hAPP_val_option_val @ some_val @ SY3084 ) ) )
        = $true )
      | ( ( ( SV1175 = SV591 )
          | ( SV1175 != SV591 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4473]) ).

thf(4498,plain,
    ! [SV1183: $i,SV1176: $i,SV732: $i,SV591: $i,SV299: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1176 )
         != ( hAPP_val_option_val @ some_val @ SV1183 ) )
        | ( SV1176 = SV591 )
        | ( ( hAPP_P2094403585on_val @ SV299 @ SV1176 )
          = ( hAPP_val_option_val @ some_val @ SV1183 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4474]) ).

thf(4499,plain,
    ! [SV1184: $i,SV1177: $i,SV732: $i,SV591: $i,SV299: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1177 )
         != ( hAPP_val_option_val @ some_val @ SV1184 ) )
        | ( SV732 = SV1184 )
        | ( SV1177 != SV591 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4475]) ).

thf(4500,plain,
    ! [SV1185: $i,SV1178: $i,SV732: $i,SV591: $i,SV299: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1178 )
         != ( hAPP_val_option_val @ some_val @ SV1185 ) )
        | ( SV732 = SV1185 )
        | ( ( hAPP_P2094403585on_val @ SV299 @ SV1178 )
          = ( hAPP_val_option_val @ some_val @ SV1185 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4476]) ).

thf(4501,plain,
    ! [SV299: $i,SV1162: $i,SV732: $i,SV591: $i,SV1149: $i] :
      ( ( ( SV1149 = SV591 )
        = $false )
      | ( ( ( SV732 != SV1162 ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1149 )
          = ( hAPP_val_option_val @ some_val @ SV1162 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4477]) ).

thf(4502,plain,
    ! [SV732: $i,SV591: $i,SV1163: $i,SV1150: $i,SV299: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ SV299 @ SV1150 )
          = ( hAPP_val_option_val @ some_val @ SV1163 ) )
        = $false )
      | ( ( SV1150 = SV591 )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1150 )
          = ( hAPP_val_option_val @ some_val @ SV1163 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4478]) ).

thf(4503,plain,
    ! [SV306: $i,SV597: $i,SV735: $i,SV839: $i,SV936: $i,SV1004: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) @ SV1004 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4479]) ).

thf(4504,plain,
    ! [SV306: $i,SV597: $i,SV735: $i,SV839: $i,SV936: $i,SV1004: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) )
                    | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4480]) ).

thf(4505,plain,
    ! [SV1179: $i,SV736: $i,SV600: $i,SV309: $i] :
      ( ( ( ! [SY3088: $i] :
              ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1179 )
             != ( hAPP_val_option_val @ some_val @ SY3088 ) ) )
        = $true )
      | ( ( ( SV1179 = SV600 )
          | ( SV1179 != SV600 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4481]) ).

thf(4506,plain,
    ! [SV1186: $i,SV1180: $i,SV736: $i,SV600: $i,SV309: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1180 )
         != ( hAPP_val_option_val @ some_val @ SV1186 ) )
        | ( SV1180 = SV600 )
        | ( ( hAPP_l207779698on_val @ SV309 @ SV1180 )
          = ( hAPP_val_option_val @ some_val @ SV1186 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4482]) ).

thf(4507,plain,
    ! [SV1187: $i,SV1181: $i,SV736: $i,SV600: $i,SV309: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1181 )
         != ( hAPP_val_option_val @ some_val @ SV1187 ) )
        | ( SV736 = SV1187 )
        | ( SV1181 != SV600 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4483]) ).

thf(4508,plain,
    ! [SV1188: $i,SV1182: $i,SV736: $i,SV600: $i,SV309: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1182 )
         != ( hAPP_val_option_val @ some_val @ SV1188 ) )
        | ( SV736 = SV1188 )
        | ( ( hAPP_l207779698on_val @ SV309 @ SV1182 )
          = ( hAPP_val_option_val @ some_val @ SV1188 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[4484]) ).

thf(4509,plain,
    ! [SV309: $i,SV1168: $i,SV736: $i,SV600: $i,SV1155: $i] :
      ( ( ( SV1155 = SV600 )
        = $false )
      | ( ( ( SV736 != SV1168 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1155 )
          = ( hAPP_val_option_val @ some_val @ SV1168 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4485]) ).

thf(4510,plain,
    ! [SV736: $i,SV600: $i,SV1169: $i,SV1156: $i,SV309: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV309 @ SV1156 )
          = ( hAPP_val_option_val @ some_val @ SV1169 ) )
        = $false )
      | ( ( SV1156 = SV600 )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1156 )
          = ( hAPP_val_option_val @ some_val @ SV1169 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4486]) ).

thf(4511,plain,
    ! [SV843: $i,SV938: $i,SV1173: $i,SV1170: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1170 ) @ SV1173 ) ) @ SV938 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1170 ) @ SV1173 ) ) @ SV843 ) )
        = $true )
      | ( ( SV938 = SV843 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4487]) ).

thf(4512,plain,
    ! [SV938: $i,SV843: $i,SV1174: $i,SV1171: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1171 ) @ SV1174 ) ) @ SV843 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV1171 ) @ SV1174 ) ) @ SV938 ) )
        = $true )
      | ( ( SV938 = SV843 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4488]) ).

thf(4513,plain,
    ! [SV319: $i,SV607: $i,SV737: $i,SV847: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) @ SV847 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4489]) ).

thf(4514,plain,
    ! [SV607: $i,SV737: $i,SV847: $i,SV319: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) )
                | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4489]) ).

thf(4515,plain,
    ! [SV322: $i,SV850: $i,SV947: $i,SV1028: $i,SV738: $i,SV609: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4490]) ).

thf(4516,plain,
    ! [SV322: $i,SV609: $i,SV738: $i,SV850: $i,SV947: $i,SV1028: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ SV1028 ) )
              | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) )
                    | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4491]) ).

thf(4517,plain,
    ! [SV611: $i,SV1160: $i,SV1147: $i,SV324: $i] :
      ( ( ( ( hAPP_l207779698on_val @ SV324 @ SV1147 )
          = ( hAPP_val_option_val @ some_val @ SV1160 ) )
        = $false )
      | ( ( ( hAPP_l207779698on_val @ SV611 @ SV1147 )
          = none_val )
        = $false )
      | ( ( ( hAPP_l207779698on_val @ ( map_ad325961431ar_val @ SV324 @ SV611 ) @ SV1147 )
          = ( hAPP_val_option_val @ some_val @ SV1160 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4494]) ).

thf(4518,plain,
    ! [SV294: $i,SV587: $i,SV729: $i,SV823: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4495]) ).

thf(4519,plain,
    ! [SV587: $i,SV729: $i,SV823: $i,SV294: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) )
              | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4496]) ).

thf(4520,plain,
    ! [SV1189: $i,SV1175: $i,SV732: $i,SV591: $i,SV299: $i] :
      ( ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1175 )
           != ( hAPP_val_option_val @ some_val @ SV1189 ) ) )
        = $true )
      | ( ( ( SV1175 = SV591 )
          | ( SV1175 != SV591 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4497]) ).

thf(4521,plain,
    ! [SV1183: $i,SV1176: $i,SV732: $i,SV591: $i,SV299: $i] :
      ( ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1176 )
           != ( hAPP_val_option_val @ some_val @ SV1183 ) ) )
        = $true )
      | ( ( ( SV1176 = SV591 )
          | ( ( hAPP_P2094403585on_val @ SV299 @ SV1176 )
            = ( hAPP_val_option_val @ some_val @ SV1183 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4498]) ).

thf(4522,plain,
    ! [SV1184: $i,SV1177: $i,SV732: $i,SV591: $i,SV299: $i] :
      ( ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1177 )
           != ( hAPP_val_option_val @ some_val @ SV1184 ) ) )
        = $true )
      | ( ( ( SV732 = SV1184 )
          | ( SV1177 != SV591 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4499]) ).

thf(4523,plain,
    ! [SV1185: $i,SV1178: $i,SV732: $i,SV591: $i,SV299: $i] :
      ( ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1178 )
           != ( hAPP_val_option_val @ some_val @ SV1185 ) ) )
        = $true )
      | ( ( ( SV732 = SV1185 )
          | ( ( hAPP_P2094403585on_val @ SV299 @ SV1178 )
            = ( hAPP_val_option_val @ some_val @ SV1185 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4500]) ).

thf(4524,plain,
    ! [SV299: $i,SV591: $i,SV1149: $i,SV1162: $i,SV732: $i] :
      ( ( ( SV732 = SV1162 )
        = $false )
      | ( ( SV1149 = SV591 )
        = $false )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1149 )
          = ( hAPP_val_option_val @ some_val @ SV1162 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4501]) ).

thf(4525,plain,
    ! [SV306: $i,SV597: $i,SV735: $i,SV839: $i,SV936: $i,SV1004: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
          | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) )
                | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4504]) ).

thf(4526,plain,
    ! [SV1190: $i,SV1179: $i,SV736: $i,SV600: $i,SV309: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1179 )
           != ( hAPP_val_option_val @ some_val @ SV1190 ) ) )
        = $true )
      | ( ( ( SV1179 = SV600 )
          | ( SV1179 != SV600 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4505]) ).

thf(4527,plain,
    ! [SV1186: $i,SV1180: $i,SV736: $i,SV600: $i,SV309: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1180 )
           != ( hAPP_val_option_val @ some_val @ SV1186 ) ) )
        = $true )
      | ( ( ( SV1180 = SV600 )
          | ( ( hAPP_l207779698on_val @ SV309 @ SV1180 )
            = ( hAPP_val_option_val @ some_val @ SV1186 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4506]) ).

thf(4528,plain,
    ! [SV1187: $i,SV1181: $i,SV736: $i,SV600: $i,SV309: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1181 )
           != ( hAPP_val_option_val @ some_val @ SV1187 ) ) )
        = $true )
      | ( ( ( SV736 = SV1187 )
          | ( SV1181 != SV600 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4507]) ).

thf(4529,plain,
    ! [SV1188: $i,SV1182: $i,SV736: $i,SV600: $i,SV309: $i] :
      ( ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1182 )
           != ( hAPP_val_option_val @ some_val @ SV1188 ) ) )
        = $true )
      | ( ( ( SV736 = SV1188 )
          | ( ( hAPP_l207779698on_val @ SV309 @ SV1182 )
            = ( hAPP_val_option_val @ some_val @ SV1188 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4508]) ).

thf(4530,plain,
    ! [SV309: $i,SV600: $i,SV1155: $i,SV1168: $i,SV736: $i] :
      ( ( ( SV736 = SV1168 )
        = $false )
      | ( ( SV1155 = SV600 )
        = $false )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1155 )
          = ( hAPP_val_option_val @ some_val @ SV1168 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4509]) ).

thf(4531,plain,
    ! [SV319: $i,SV607: $i,SV737: $i,SV847: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) @ SV847 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4513]) ).

thf(4532,plain,
    ! [SV607: $i,SV737: $i,SV847: $i,SV319: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) )
              | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4514]) ).

thf(4533,plain,
    ! [SV322: $i,SV609: $i,SV738: $i,SV850: $i,SV947: $i,SV1028: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ SV1028 ) )
          | ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) )
                | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4516]) ).

thf(4534,plain,
    ! [SV587: $i,SV729: $i,SV823: $i,SV294: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4519]) ).

thf(4535,plain,
    ! [SV1189: $i,SV1175: $i,SV732: $i,SV591: $i,SV299: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1175 )
          = ( hAPP_val_option_val @ some_val @ SV1189 ) )
        = $false )
      | ( ( ( SV1175 = SV591 )
          | ( SV1175 != SV591 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4520]) ).

thf(4536,plain,
    ! [SV1183: $i,SV1176: $i,SV732: $i,SV591: $i,SV299: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1176 )
          = ( hAPP_val_option_val @ some_val @ SV1183 ) )
        = $false )
      | ( ( ( SV1176 = SV591 )
          | ( ( hAPP_P2094403585on_val @ SV299 @ SV1176 )
            = ( hAPP_val_option_val @ some_val @ SV1183 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4521]) ).

thf(4537,plain,
    ! [SV1184: $i,SV1177: $i,SV732: $i,SV591: $i,SV299: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1177 )
          = ( hAPP_val_option_val @ some_val @ SV1184 ) )
        = $false )
      | ( ( ( SV732 = SV1184 )
          | ( SV1177 != SV591 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4522]) ).

thf(4538,plain,
    ! [SV1185: $i,SV1178: $i,SV732: $i,SV591: $i,SV299: $i] :
      ( ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1178 )
          = ( hAPP_val_option_val @ some_val @ SV1185 ) )
        = $false )
      | ( ( ( SV732 = SV1185 )
          | ( ( hAPP_P2094403585on_val @ SV299 @ SV1178 )
            = ( hAPP_val_option_val @ some_val @ SV1185 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4523]) ).

thf(4539,plain,
    ! [SV306: $i,SV597: $i,SV735: $i,SV839: $i,SV936: $i,SV1004: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4525]) ).

thf(4540,plain,
    ! [SV597: $i,SV735: $i,SV839: $i,SV936: $i,SV1004: $i,SV306: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) )
                | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4525]) ).

thf(4541,plain,
    ! [SV1190: $i,SV1179: $i,SV736: $i,SV600: $i,SV309: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1179 )
          = ( hAPP_val_option_val @ some_val @ SV1190 ) )
        = $false )
      | ( ( ( SV1179 = SV600 )
          | ( SV1179 != SV600 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4526]) ).

thf(4542,plain,
    ! [SV1186: $i,SV1180: $i,SV736: $i,SV600: $i,SV309: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1180 )
          = ( hAPP_val_option_val @ some_val @ SV1186 ) )
        = $false )
      | ( ( ( SV1180 = SV600 )
          | ( ( hAPP_l207779698on_val @ SV309 @ SV1180 )
            = ( hAPP_val_option_val @ some_val @ SV1186 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4527]) ).

thf(4543,plain,
    ! [SV1187: $i,SV1181: $i,SV736: $i,SV600: $i,SV309: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1181 )
          = ( hAPP_val_option_val @ some_val @ SV1187 ) )
        = $false )
      | ( ( ( SV736 = SV1187 )
          | ( SV1181 != SV600 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4528]) ).

thf(4544,plain,
    ! [SV1188: $i,SV1182: $i,SV736: $i,SV600: $i,SV309: $i] :
      ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1182 )
          = ( hAPP_val_option_val @ some_val @ SV1188 ) )
        = $false )
      | ( ( ( SV736 = SV1188 )
          | ( ( hAPP_l207779698on_val @ SV309 @ SV1182 )
            = ( hAPP_val_option_val @ some_val @ SV1188 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4529]) ).

thf(4545,plain,
    ! [SV607: $i,SV737: $i,SV847: $i,SV319: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4532]) ).

thf(4546,plain,
    ! [SV322: $i,SV609: $i,SV738: $i,SV850: $i,SV947: $i,SV1028: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ SV1028 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4533]) ).

thf(4547,plain,
    ! [SV609: $i,SV738: $i,SV850: $i,SV947: $i,SV1028: $i,SV322: $i] :
      ( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) )
                | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4533]) ).

thf(4548,plain,
    ! [SV587: $i,SV729: $i,SV823: $i,SV294: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4534]) ).

thf(4549,plain,
    ! [SV587: $i,SV729: $i,SV823: $i,SV294: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4534]) ).

thf(4550,plain,
    ! [SV1189: $i,SV732: $i,SV299: $i,SV591: $i,SV1175: $i] :
      ( ( ( SV1175 = SV591 )
        = $true )
      | ( ( ( SV1175 != SV591 ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1175 )
          = ( hAPP_val_option_val @ some_val @ SV1189 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4535]) ).

thf(4551,plain,
    ! [SV732: $i,SV1183: $i,SV299: $i,SV591: $i,SV1176: $i] :
      ( ( ( SV1176 = SV591 )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ SV299 @ SV1176 )
          = ( hAPP_val_option_val @ some_val @ SV1183 ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1176 )
          = ( hAPP_val_option_val @ some_val @ SV1183 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4536]) ).

thf(4552,plain,
    ! [SV299: $i,SV591: $i,SV1177: $i,SV1184: $i,SV732: $i] :
      ( ( ( SV732 = SV1184 )
        = $true )
      | ( ( ( SV1177 != SV591 ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1177 )
          = ( hAPP_val_option_val @ some_val @ SV1184 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4537]) ).

thf(4553,plain,
    ! [SV591: $i,SV1178: $i,SV299: $i,SV1185: $i,SV732: $i] :
      ( ( ( SV732 = SV1185 )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ SV299 @ SV1178 )
          = ( hAPP_val_option_val @ some_val @ SV1185 ) )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1178 )
          = ( hAPP_val_option_val @ some_val @ SV1185 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4538]) ).

thf(4554,plain,
    ! [SV306: $i,SV597: $i,SV735: $i,SV839: $i,SV936: $i,SV1004: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4539]) ).

thf(4555,plain,
    ! [SV597: $i,SV735: $i,SV839: $i,SV936: $i,SV1004: $i,SV306: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) )
              | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4540]) ).

thf(4556,plain,
    ! [SV1190: $i,SV736: $i,SV309: $i,SV600: $i,SV1179: $i] :
      ( ( ( SV1179 = SV600 )
        = $true )
      | ( ( ( SV1179 != SV600 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1179 )
          = ( hAPP_val_option_val @ some_val @ SV1190 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4541]) ).

thf(4557,plain,
    ! [SV736: $i,SV1186: $i,SV309: $i,SV600: $i,SV1180: $i] :
      ( ( ( SV1180 = SV600 )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ SV309 @ SV1180 )
          = ( hAPP_val_option_val @ some_val @ SV1186 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1180 )
          = ( hAPP_val_option_val @ some_val @ SV1186 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4542]) ).

thf(4558,plain,
    ! [SV309: $i,SV600: $i,SV1181: $i,SV1187: $i,SV736: $i] :
      ( ( ( SV736 = SV1187 )
        = $true )
      | ( ( ( SV1181 != SV600 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1181 )
          = ( hAPP_val_option_val @ some_val @ SV1187 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4543]) ).

thf(4559,plain,
    ! [SV600: $i,SV1182: $i,SV309: $i,SV1188: $i,SV736: $i] :
      ( ( ( SV736 = SV1188 )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ SV309 @ SV1182 )
          = ( hAPP_val_option_val @ some_val @ SV1188 ) )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1182 )
          = ( hAPP_val_option_val @ some_val @ SV1188 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4544]) ).

thf(4560,plain,
    ! [SV607: $i,SV737: $i,SV847: $i,SV319: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4545]) ).

thf(4561,plain,
    ! [SV607: $i,SV737: $i,SV847: $i,SV319: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4545]) ).

thf(4562,plain,
    ! [SV322: $i,SV609: $i,SV738: $i,SV850: $i,SV947: $i,SV1028: $i] :
      ( ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) @ SV1028 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4546]) ).

thf(4563,plain,
    ! [SV609: $i,SV738: $i,SV850: $i,SV947: $i,SV1028: $i,SV322: $i] :
      ( ( ( ~ ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) )
              | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4547]) ).

thf(4564,plain,
    ! [SV587: $i,SV729: $i,SV823: $i,SV294: $i] :
      ( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK14_SY1140 @ SV823 @ SV729 @ SV587 @ SV294 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4548]) ).

thf(4565,plain,
    ! [SV587: $i,SV729: $i,SV823: $i,SV294: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4549]) ).

thf(4566,plain,
    ! [SV1189: $i,SV732: $i,SV299: $i,SV591: $i,SV1175: $i] :
      ( ( ( SV1175 = SV591 )
        = $false )
      | ( ( SV1175 = SV591 )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1175 )
          = ( hAPP_val_option_val @ some_val @ SV1189 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4550]) ).

thf(4567,plain,
    ! [SV299: $i,SV1184: $i,SV732: $i,SV591: $i,SV1177: $i] :
      ( ( ( SV1177 = SV591 )
        = $false )
      | ( ( SV732 = SV1184 )
        = $true )
      | ( ( ( hAPP_P2094403585on_val @ ( fun_up204312361on_val @ SV299 @ SV591 @ ( hAPP_val_option_val @ some_val @ SV732 ) ) @ SV1177 )
          = ( hAPP_val_option_val @ some_val @ SV1184 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4552]) ).

thf(4568,plain,
    ! [SV597: $i,SV735: $i,SV839: $i,SV936: $i,SV1004: $i,SV306: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4555]) ).

thf(4569,plain,
    ! [SV1190: $i,SV736: $i,SV309: $i,SV600: $i,SV1179: $i] :
      ( ( ( SV1179 = SV600 )
        = $false )
      | ( ( SV1179 = SV600 )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1179 )
          = ( hAPP_val_option_val @ some_val @ SV1190 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4556]) ).

thf(4570,plain,
    ! [SV309: $i,SV1187: $i,SV736: $i,SV600: $i,SV1181: $i] :
      ( ( ( SV1181 = SV600 )
        = $false )
      | ( ( SV736 = SV1187 )
        = $true )
      | ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV309 @ SV600 @ ( hAPP_val_option_val @ some_val @ SV736 ) ) @ SV1181 )
          = ( hAPP_val_option_val @ some_val @ SV1187 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4558]) ).

thf(4571,plain,
    ! [SV607: $i,SV737: $i,SV847: $i,SV319: $i] :
      ( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK17_Y_1 @ SV847 @ SV737 @ SV607 @ SV319 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4560]) ).

thf(4572,plain,
    ! [SV607: $i,SV737: $i,SV847: $i,SV319: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4561]) ).

thf(4573,plain,
    ! [SV609: $i,SV738: $i,SV850: $i,SV947: $i,SV1028: $i,SV322: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) )
          | ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4563]) ).

thf(4574,plain,
    ! [SV587: $i,SV729: $i,SV823: $i,SV294: $i] :
      ( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ ( sK13_Y_1 @ SV823 @ SV729 @ SV587 @ SV294 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV587 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV294 @ SV729 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV587 ) @ SV729 ) ) @ ( transi2024712006on_val @ SV823 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4565]) ).

thf(4575,plain,
    ! [SV597: $i,SV735: $i,SV839: $i,SV936: $i,SV1004: $i,SV306: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4568]) ).

thf(4576,plain,
    ! [SV597: $i,SV735: $i,SV839: $i,SV936: $i,SV1004: $i,SV306: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4568]) ).

thf(4577,plain,
    ! [SV607: $i,SV737: $i,SV847: $i,SV319: $i] :
      ( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ ( sK18_SY1141 @ SV847 @ SV737 @ SV607 @ SV319 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV737 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV319 @ SV607 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV607 ) @ SV737 ) ) @ ( transi2024712006on_val @ SV847 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4572]) ).

thf(4578,plain,
    ! [SV609: $i,SV738: $i,SV850: $i,SV947: $i,SV1028: $i,SV322: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4573]) ).

thf(4579,plain,
    ! [SV609: $i,SV738: $i,SV850: $i,SV947: $i,SV1028: $i,SV322: $i] :
      ( ( ( ~ ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4573]) ).

thf(4580,plain,
    ! [SV597: $i,SV735: $i,SV839: $i,SV936: $i,SV1004: $i,SV306: $i] :
      ( ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK10_SY1137 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK11_SY1139 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4575]) ).

thf(4581,plain,
    ! [SV597: $i,SV735: $i,SV839: $i,SV936: $i,SV1004: $i,SV306: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4576]) ).

thf(4582,plain,
    ! [SV609: $i,SV738: $i,SV850: $i,SV947: $i,SV1028: $i,SV322: $i] :
      ( ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK4_A_1 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK5_SY1128 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4578]) ).

thf(4583,plain,
    ! [SV609: $i,SV738: $i,SV850: $i,SV947: $i,SV1028: $i,SV322: $i] :
      ( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4579]) ).

thf(4584,plain,
    ! [SV597: $i,SV735: $i,SV839: $i,SV936: $i,SV1004: $i,SV306: $i] :
      ( ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ ( sK8_A_1 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) @ ( sK9_SY1134 @ SV1004 @ SV936 @ SV839 @ SV735 @ SV597 @ SV306 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV597 ) @ SV735 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV306 @ SV839 ) @ SV936 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV597 ) @ SV735 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV839 ) @ SV936 ) ) ) @ ( transi2024712006on_val @ SV1004 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4581]) ).

thf(4585,plain,
    ! [SV609: $i,SV738: $i,SV850: $i,SV947: $i,SV1028: $i,SV322: $i] :
      ( ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ ( sK6_SY1131 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) @ ( sK7_SY1133 @ SV1028 @ SV947 @ SV850 @ SV738 @ SV609 @ SV322 ) ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV850 ) @ SV947 ) )
        = $true )
      | ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( hAPP_e1833980889l_bool @ SV322 @ SV609 ) @ SV738 ) )
        = $false )
      | ( ( hBOOL @ ( hAPP_f1453283057l_bool @ ( hAPP_P1303341961l_bool @ member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV609 ) @ SV738 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV850 ) @ SV947 ) ) ) @ ( transi2024712006on_val @ SV1028 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4583]) ).

thf(4586,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[2021,4585,4584,4582,4580,4577,4574,4571,4570,4569,4567,4566,4564,4562,4559,4557,4554,4553,4551,4531,4530,4524,4518,4517,4515,4512,4511,4510,4503,4502,4493,4492,4471,4467,4466,4463,4460,4459,4458,4457,4450,4449,4448,4447,4445,4444,4443,4442,4434,4433,4432,4425,4421,4420,4405,4402,4398,4395,4388,4387,4382,4381,4380,4379,4378,4377,4365,4364,4363,4360,4358,4357,4354,4341,4340,4329,4328,4322,4321,4320,4319,4317,4316,4315,4314,4313,4312,4310,4297,4296,4291,4288,4283,4282,4281,4280,4277,4276,4260,4259,4256,4249,4248,4240,4239,4238,4234,4233,4232,4231,4229,4226,4225,4223,4222,4221,4220,4217,4215,4214,4213,4206,4205,4200,4192,4188,4187,4186,4181,4179,4175,4174,4173,4172,4168,4166,4163,4131,4128,4127,4122,4121,4120,4117,4115,4105,4103,4099,4098,4089,4088,4079,4078,4077,4075,4074,4071,4070,4066,4060,4055,4054,4049,4045,3991,3988,3987,3986,3978,3975,3974,3971,3951,3950,3948,3947,3941,3940,3931,3930,3928,3925,3924,3923,3922,3921,3920,3916,3915,3914,3913,3912,3908,3901,3900,3824,3786,3785,3784,3783,3782,3771,3763,3756,3755,3750,3748,3739,3737,3728,3725,3693,3680,3611,3610,3605,3604,3599,3598,3597,3596,3595,3594,3589,3586,3576,3567,3532,3531,3528,3527,3439,3438,3422,3421,3418,3408,3404,3399,3398,3383,3374,3373,3363,3347,3346,3345,3343,3340,3336,3332,3331,3325,3324,3323,3319,3233,3231,3230,3226,3220,3217,3204,3202,3195,3192,3160,3113,3027,3026,3025,3024,3019,3009,3008,2987,2986,2985,2984,2983,2982,2981,2980,2979,2978,2977,2976,2975,2974,2973,2972,2971,2970,2969,2968,2967,2966,2965,2964,2963,2962,2961,2960,2959,2958,2957,2956,2955,2954,2953,2952,2951,2950,2949,2948,2947,2946,2945,2944,2943,2942,2941,2940,2939,2938,2937,2936,2935,2934,2933,2932,2931,2930,2929,2928,2927,2926,2925,2924,2923,2922,2921,2920,2919,2918,2917,2916,2915,2914,2913,2912,2911,2910,2909,2908,2907,2906,2905,2904,2903,2902,2901,2900,2899,2898,2897,2896,2895,2894,2893,2892,2891,2890,2889,2888,2887,2886,2885,2884,2883,2882,2881,2880,2879,2878,2877,2876,2875,2874,2873,2872,2870,2867,2865,2862,2860,2858,2812,2796,2791,2790,2767,2766,2715,2687,2683,2678,2540,2533,2532,2529,2528,2527,2480,2469,2468,2452,2443,2442,2441,2440,2439,2438,2435,2434,2428,2186,2185,2167,2024,2022]) ).

thf(4587,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[4586]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWW478+3 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun  4 11:28:51 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.39/1.59  ...........................................
% 61.64/61.81  
% 61.64/61.81   No.of.Axioms: 1490
% 61.64/61.81  
% 61.64/61.81   Length.of.Defs: 0
% 61.64/61.81  
% 61.64/61.81   Contains.Choice.Funs: false
% 62.45/62.62  .........................................................................................
% 64.58/64.79  (rf:2,axioms:350,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:1492,loop_count:0,foatp_calls:0,translation:fof_full)..............................................................................................................................................................................................................................................................................................
% 72.12/72.32  
% 72.12/72.32  ********************************
% 72.12/72.32  *   All subproblems solved!    *
% 72.12/72.32  ********************************
% 72.12/72.32  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:350,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:4586,loop_count:0,foatp_calls:1,translation:fof_full)
% 76.89/77.07  
% 76.89/77.07  %**** Beginning of derivation protocol ****
% 76.89/77.07  % SZS output start CNFRefutation
% See solution above
% 76.89/77.10  
% 76.89/77.10  %**** End of derivation protocol ****
% 76.89/77.10  %**** no. of clauses in derivation: 3447 ****
% 76.89/77.10  %**** clause counter: 4586 ****
% 76.89/77.10  
% 76.89/77.10  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:350,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:4586,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------